(a) He earns 10x from selling adults' tickets
(b) He earns 4y from selling children' tickets
(c) The equation is z = 10x + 4y
a. How much revenue does he earn from selling a adults' tickets?From the question, we have the following parameters that can be used in our computation:
Adults = $10 per adult
So, the amount on adults is 10x dollars
Where x = number of adults
b. How much revenue does he earn from selling y children's tickets?We have
Children = $4 per child
So, the amount on children is 4y dollars
Where y = number of children
c. Write an equation in z and y for the number of tickets he must sell at each screening.When the expressions in a and b are added, we have
z = 10x + 4y
Hence, the equation is z = 10x + 4y
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Could someone help me with this question? Thank you
For the profits of a fruit grower, the matrixes are:
A = [tex]\left[\begin{array}{ccc}125&100&75\\100&175&125\end{array}\right][/tex]B = [tex]\left[\begin{array}{ccc}3.50&3.50&3.50\\6.00&6.00&6.00\end{array}\right][/tex]BA =[tex]\left[\begin{array}{ccc}125&100&75\\100&175&125\end{array}\right] \left[\begin{array}{ccc}3.50&3.50&3.50\\6.00&6.00&6.00\end{array}\right] = \left[\begin{array}{ccc}437.50&437.50&437.50\\1175.00&1575.00&1375.00\end{array}\right][/tex]How to write matrix?(a) The matrix A representing the number of bushels of each crop i that are shipped to each outlet j is:
A = [tex]\left[\begin{array}{ccc}125&100&75\\100&175&125\end{array}\right][/tex]
Each entry aij of the matrix represents the number of bushels of crop i (apples or peaches) sent to outlet j (The Farmer's Market, The Fruit Stand, or The Fruit Farm).
(b) The matrix B representing the profit per bushel of each fruit is:
B = [tex]\left[\begin{array}{ccc}3.50&3.50&3.50\\6.00&6.00&6.00\end{array}\right][/tex]
Each entry bij of the matrix represents the profit per bushel of crop i (apples or peaches) sent to outlet j (The Farmer's Market, The Fruit Stand, or The Fruit Farm).
(c) The product BA is:
BA = [tex]\left[\begin{array}{ccc}125&100&75\\100&175&125\end{array}\right] \left[\begin{array}{ccc}3.50&3.50&3.50\\6.00&6.00&6.00\end{array}\right] = \left[\begin{array}{ccc}437.50&437.50&437.50\\1175.00&1575.00&1375.00\end{array}\right][/tex]
Each entry bij of the product matrix represents the total profit earned from selling the bushels of crop i (apples or peaches) to outlet j (The Farmer's Market, The Fruit Stand, or The Fruit Farm). For example, the entry in the first row and first column represents the total profit earned from selling 125 bushels of apples to The Farmer's Market, which is $437.50.
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graph g(x)= 2^x mark 5 plots
Answer:
(0,1),(1,2),(-10, .001),( 3.804,13.997), (5,32)
HELPPP!!! WILL MARK BRAINLIEST IF CORRECT!!!
A community sports league is raising money by making custom shirts to sell at league games. They plan to sell the shirts for $15. Each shirt costs $8 to make. They spent $55 for advertising.
Use n to represent the number of shirts they sell. Multiply this by the money they make for each shirt, then subtract the advertising cost.
Which expression represents the money that the league raises?
Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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What’s the difference between y=f(-x) and y=-f(x) ?
Answer:
The function y = f(-x) is the reflection of the function f(x) about the y-axis. In other words, it is obtained by replacing x with -x in the function f(x).
On the other hand, the function y = -f(x) is obtained by reversing the sign of the output values of the function f(x). This means that for any given value of x, the corresponding value of y for the function y = -f(x) will have the opposite sign of the corresponding value of y for the function f(x).
In other words, y = -f(x) will reflect the function f(x) about the x-axis.
In triangle ABC below, (which is not drawn to scale, do not trust the picture, the following is true about the given trigonometric raitos.
sin(x) = cos(y)
what must be the measure of angle ABC, explain.
Answer:
Since sin(x) = cos(y), we can write this as sin(x) = sin(90° - y), using the identity that cos(y) = sin(90° - y).
This means that angle x and angle (90° - y) have the same sine ratio, which implies that they must be equal or supplementary.
If angle x and angle (90° - y) are equal, then x = 90° - y, and angle BAC would be (x + y) = (90° - y + y) = 90°.
If angle x and angle (90° - y) are supplementary, then x + (90° - y) = 180°, which implies that angle BAC is equal to (x + y) = [(180° - (90° - y)) + y] = 90° + y.
Therefore, the measure of angle ABC cannot be determined uniquely based on the given information.
ii) y = 4√x-x, 0≤x≤8 find the absolute maxima and minima
The absolute maximum value is 0 and it occurs at x = 0 and x = 8, while the absolute minimum value is also 0 and it occurs at the same points.
To find the absolute maxima and minima of the function y = 4√(x - x), where 0 ≤ x ≤ 8, we need to evaluate the function at its critical points and endpoints within the given interval.
First, let's find the critical points by taking the derivative of the function y with respect to x and setting it equal to zero:
y = 4√(x - x)
[tex]dy/dx = (4/2\sqrt{(x - x)} ) \times (1) = 2/\sqrt{(x - x) }[/tex]
To find the critical points, we set dy/dx = 0:
2/√(x - x) = 0
The denominator cannot be zero, so there are no critical points within the given interval (0 ≤ x ≤ 8).
Next, we evaluate the function at the endpoints of the interval:
For x = 0:
y = 4√(0 - 0) = 4√0 = 0
For x = 8:
y = 4√(8 - 8) = 4√0 = 0
Hence, the function has minimum values of 0 at both endpoints of the interval.
Therefore, the absolute maximum value is 0 and it occurs at x = 0 and x = 8, while the absolute minimum value is also 0 and it occurs at the same points.
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determine if there is enough information to prove that the pair of triangles are congruent by sss, sas, asa, or aas. write the congruent statements to justify your reasoning.
PT ≅ TP based on the reflexive property; ΔPRT ≅ ΔTVP by the SSS triangle congruence theorem.
How to Apply the SSS Triangle Congruence Theorem?If we establish that two triangles have three pairs of corresponding sides that are congruent, the SSS triangle congruence theorem holds that both triangles are therefore congruent to each other.
From the information given, we know that:
PV ≅ RT and PR ≅ VT [two pairs of corresponding congruent sides]
PT ≅ TP based on the reflexive property [one pair of corresponding congruent sides]
Therefore, we have enough information, and based on the SSS triangle congruence theorem, ΔPRT ≅ ΔTVP.
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Daniel is thinking of a 2-digit number that is less than 50. When it is divided by 2, there is no remainder. When it is divided by 3, there is a remainder of 1 When it is divided by 5, there is a remainder of 3 What number is Daniel thinking of?
Answer:
28
Step-by-step explanation:
The two digit numbers less than 50 that when divided by 5 have a remainder of three are: 13, 18, 23, 28, 33, 38, 43, and 38.
Since the number must be evenly divisible by 2, you can remove the odd answers which leaves you with 18, 28, 38, and 48.
The only one that has a remainder of 1 when divided by 3 is 28.
ANSWER:
28
28÷2=14
28÷3=9 with remainder of 1
28÷5=5 with a remainder of 3
In a triangle ABC, AB = 6 cm, BC = 10 cm and CBA 70°
(a) Find the area of the triangle.
(b) Find AC.
Check the picture below.
well, let's move like the crab, backwards, let's first find AC and then its area using Heron's Area formula.
[tex]\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ b = \sqrt{10^2+6^2~-~2(10)(6)\cos(70^o)} \implies b = \sqrt{ 136 - 7200 \cos(70^o) } \\\\\\ b \approx \sqrt{ 136 - (41.0424) } \implies b \approx \sqrt{ 94.9576 } \implies b \approx 9.74[/tex]
now that we have all three sides, let's plug them in
[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a = 10\\ b \approx 9.74\\ c = 6\\ s\approx\frac{10+9.74+6}{2}\\ \qquad 12.87 \end{cases} \\\\\\ A\approx\sqrt{12.87(12.87-10)(12.87-9.74)(12.87-6)} \\\\\\ A\approx\sqrt{12.87(2.87)(3.13)(6.87)} \implies A\approx\sqrt{794.258}\implies A\approx 28.18[/tex]
Simple interest is calculated using the formula I=prt.How much simple interest does 3,000 earn in 6month at an annual interest rate of 1.5%
well, since a year has 12 months, then 6 months is really just 6/12 of a year, so
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 1.5\%\to \frac{1.5}{100}\dotfill &0.015\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (3000)(0.015)(\frac{1}{2}) \implies I = 22.5[/tex]
Consider the following conditional statement.
$p\rightarrow q:$p→q: If a quadrilateral is a square, then the quadrilateral is a rhombus.
Determine whether the converse open paren q rightarrow p close paren$\left(q\rightarrow p\right)$(q→p) , the inverse open paren negative p rightarrow negative q close paren$\left(-p\rightarrow-q\right)$(−p→−q) , and the contrapositive open paren negative q rightarrow negative p close paren$\left(-q\rightarrow-p\right)$(−q→−p) , are true or false.
True False
$q\rightarrow p$q→p
True – $q\rightarrow p$q→p
False – $q\rightarrow p$q→p
$\left(-p\rightarrow-q\right)$(−p→−q)
True – open paren negative p rightarrow negative q close paren
False – open paren negative p rightarrow negative q close paren
$\left(-q\rightarrow-p\right)$(−q→−p)
True – open paren negative q rightarrow negative p close paren
False – open paren negative q rightarrow negative p close paren
The converse is false, the inverse is false, and the contrapositive is true.
Using the given conditional statement [tex]$p\rightarrow q$[/tex], we can form the converse, inverse, and contrapositive statements as follows:
Converse: [tex]$q\rightarrow p$[/tex]
Inverse: [tex]$\neg p\rightarrow\neg q$[/tex]
Contrapositive: [tex]$\neg q\rightarrow\neg p$[/tex]
To determine if these statements are true or false, we need to analyze whether they have the same truth value as the original conditional statement.
Converse:
"If a quadrilateral is a rhombus, then the quadrilateral is a square" - This statement is false since not all rhombuses are squares.
Inverse:
"If a quadrilateral is not a square, then the quadrilateral is not a rhombus" - This statement is false since there are non-square rectangles that are rhombuses.
Contrapositive:
"If a quadrilateral is not a rhombus, then the quadrilateral is not a square" - This statement is true since all non-rhombus quadrilaterals are not squares.
Therefore, the converse is false, the inverse is false, and the contrapositive is true.
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13. What is the range of this relation?
The range of the relation in this problem is given as follows:
D. {-4, 0, 2, 4}.
How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The values for the function in this problem are given as follows:
y = -4.y = 0.y = 2.y = 4.Hence the range is given as follows:
{-4, 0, 2, 4}.
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Suppose that an individual has a body fat percentage of 18.8% and weighs 184 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.
Answer:
34.6 pounds
Step-by-step explanation:
18.8% = 0.188
0.188 X 184 = 34.592 = 34.6 pounds (to nearest one tenth)
Enter the number that belongs in the green box
The number that belongs in the green box using sine rule is 13.96.
What is sine rule?The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
To calculate the number that belongs in the green box, we use the formula below
Formula:
SinA/a = SinB/b.................. Equation 1From the diagram,
Given:
A = 70°B = 61°b = 15a = xSubstitute these values into equation 1
Sin70°/15 = sin61°/xSolve for x
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If San Jose’s coordinates
are (76, -12), where the
coordinates represent
miles, find the distance
between San Jose and San
Francisco to the nearest
mile.
The distance between San Jose and San Francisco to the nearest mile is
37 miles
How to find the distanceWe can use the distance formula to find the distance between the two points
distance = √((x₂ - x₁)² + (y₂ - y₁)²)
where
(x1, y1) and (x2, y2) are the coordinates of the two points
Plugging in the given coordinates we get
distance = √((53 - 76)² + (17 - (-12))²)
distance = √(23² + 29²)
distance = √(1370)
distance ≈ 37.01 miles
distance ≈ 37 miles
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complete question
If San Jose's coordinates are (76,-12), where the coordinates represent miles, find the distance between San Jose and San Francisco (53,17) to the nearest mile.
Ms. Ann wants to make a candy mix that costs $2.00 per pound. If she has already selected 80 pounds of candy that costs $2.40 per pound for the mix. How much candy that costs 1.80 per pound can she use?
Ms. Ann cannot use any candy that costs $1.80 per pound for the candy mix to achieve the desired cost of $2.00 per pound.
To find out how much candy that costs $1.80 per pound Ms. Ann can use, we need to consider the overall cost and weight of the candy mix.
Let's denote the weight of the candy that costs $1.80 per pound as C, in pounds.
The cost of the candy mix is determined by the total weight and the respective costs per pound. We can set up an equation using the given information:
Total cost = Cost of 80 pounds of candy at $2.40 per pound + Cost of C pounds of candy at $1.80 per pound
Since the cost is directly proportional to the weight, we can write:
Total cost = (80 pounds * $2.40 per pound) + (C pounds * $1.80 per pound)
We know that the total cost should be equal to $2.00 per pound for the mix, and we can substitute the values:
$2.00 per pound * (80 pounds + C pounds) = (80 pounds * $2.40 per pound) + (C pounds * $1.80 per pound)
Simplifying the equation, we have:
160 = 192 + 1.80C
Subtracting 192 from both sides, we get:
-32 = 1.80C
Dividing both sides by 1.80, we find:
C ≈ -17.78
Since the weight of the candy cannot be negative, we can conclude that Ms. Ann cannot use any candy that costs $1.80 per pound in order to maintain a cost of $2.00 per pound for the mix.
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160 lbs
Step-by-step explanation:
hope it helps
Calculator
This figure is made up of a rectangle and parallelogram.
What is the area of this figure?
Enter your answer in the box. Do not round any sides.
units²
HELP
The area of the given figure made of a parallelogram and a rectangle is 50 square units.
Area of rectangle = l * b
where l is the length
b is the breadth
The length and the breadth of the rectangle can be found through the distance formula
Length is from (-2,-2) to (2,6)
L = √(2 - (-2))² + (6 - (-2))²
= √4² + 8²
=√16 + 64
= √80
Breadth is from (-2,-2) to (0,-6)
B = √(0 - (-2))² + (-6 - (-2))²
= √2² + 4²
=√4 + 16
= √20
Area = √80 * √20
= √1600
= 40 square unit
In parallelogram,
Area = b * h
where b is the base
h is the height
According to the figure,
B = 2 units
H = 5 units
Area = 2 * 5
= 10 square unit
Area of the figure = area of the rectangle + area of the parallelogram
= 40 + 10
= 50 square unit
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Rewrite the expressions without the absolute value sign. |x+12| , if x>−11
Answer: The absolute value of a number is its distance from 0 on the number line. For any real number x, the absolute value of x is defined as:
|x| = x if x >= 0 |x| = -x if x < 0
In the given expression, |x+12|, we need to consider the condition that x > -11. If x > -11, then x+12 > 1. Since x+12 is positive, we can remove the absolute value sign and the expression becomes x+12.
So, the given expression |x+12| can be rewritten without the absolute value sign as x+12 when x > -11.
Hope this helps! <3
What is the chance of landing on an even number on two of two spins? (WILL GIVE BRAINLIEST! 30 POINTS)
1/2
1/4
2/9
1/3
The probability of landing on an even number on two of two spins is 1/6.
In the given spinner, there are 6 numbers.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
In two spins
Total number of outcomes = 12
Number of favorable outcomes = 2
Here, probability = 2/12
= 1/6
Therefore, the probability of landing on an even number on two of two spins is 1/6.
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what is cheaper for a 56 dollar item 5 dollars off or 15 % off
Answer: Cost of item with free shipping is cheaper than 15% coupon off
Step-by-step explanation:
Answer:
To determine which discount is cheaper for a $56 item, we need to calculate the actual discount amount of each option.
A discount of $5 off means the new price would be $56 - $5 = $51.
A discount of 15% off means the discount amount is: 15% x $56 = $8.40. Therefore, the new price would be $56 - $8.40 = $47.60.
So the discount of 15% off is cheaper for a $56 item compared to a $5.
Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation and solve the equation to determine how many appointments Maci had.
Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had.
Maci and 2 appointments and Logan had 3 appointments.
How many appointments did Maci and Logan have?The linear equation that represents the total amount earned by Maci is:
Total amount earned = (amount per appointment x number of appointments) + tips
$170 = ($60 x a) + $50
$170 = $60a + $50
$170 - $50 = $60a
$120 = $60a
a = $120 / $60
a = 2
The linear equation that represents the total amount earned by Logan is:
Profit = total revenue - total cost
Profit = (fee per appointment x number of appointments) + amount received in tips - (rental fee x number of appointments)
$235 = ($75 x a) + $40 - ($10 x a)
$235 = $75a + $40 - $10a
$235 = $65a + $40
$235 - $40 = $65a
$195 = $65a
a = $195 / 65
a = 3
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1. Find the lateral and total surface area of a rectangular prism whose height is 8cm and base 4cm by 6cm.
The side face area of the blockish prism is 160 cm ², and the total Surface area is 208 cm ².
To find the side face area of a blockish prism, we need to add up the areas of all the faces that aren't the top or nethermost faces. For a blockish prism, this means adding up the areas of the four side faces.
The formula for the side face area of a blockish prism is Side face
Area = 2lh+2wh
where" l" represents the length of the base," w" represents the range of the base, and" h" represents the height of the prism. Plugging in the values given in the problem, we get
Side face Area = 2( 4 x 8) +2( 6 x 8) = 160 cm ²
To find the total face area, we need to add up the areas of all six faces of the prism. The formula for the total face area of a blockish prism is
Total Surface Area = 2lw +2lh +2wh Plugging in the values given in the problem, we get Total face Area = 2( 4 x 6)+ 2( 4 x 8) +2( 6 x 8) = 208 cm ²
thus, the side face area of the blockish prism is 160 cm ², and the total face area is 208 cm ².
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10. Category:Returning a Polygon to its Original Position
Select the correct answer.
O
Which transformation will always map a parallelogram onto itself?
a 90° rotation about its center
O a 180° rotation about its center
O a reflection across a line joining the midpoints of opposite sides
O a reflection across one of its diagonals
00:16:55
The solution is: a 180° rotation about its center, this transformation will always map a parallelogram onto itself.
Here, we have,
A parallelogram has rotational symmetry of order 2.
Thus, rotation transformation maps a parallelogram onto itself 2 times during a rotation of 360 about its center.
And that is at 180 and 360 about its center.
Therefore, a 180° rotation about its center will always map a parallelogram onto itself .
A figure has rotational symmetry when it can be rotated and it still appears exactly the same.
The order of rotational symmetry of a shape is the number of times it can be rotated around 360 and still appear the same.
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complete question:
Which transformation will always map a parallelogram onto itself?
a 90° rotation about its center
a reflection across one of its diagonals
a 180° rotation about its center
a reflection across a line joining the midpoints of opposite sides
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
Graph $\triangle ABC$△ABC with vertices cap A times open paren negative 1 comma negative 2 close paren$A\left(-1,\ -2\right)$A(−1, −2) , cap b times open paren 1 comma negative 1 close paren$B\left(1,\ -1\right)$B(1, −1) , and cap c times open paren 2 comma negative 2 close paren$C\left(2,\ -2\right)$C(2, −2) and its image after a dilation centered at the origin with a scale factor of 2$2$2 .
A graph of the triangle and its image after a dilation centered at the origin with a scale factor 2 is shown below.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 2 that is centered at the origin as follows:
Ordered pair A (-1, -2) → Ordered pair A' (-1 × 2, -2 × 2) = Ordered pair A' (-2, -4).
Ordered pair B (1, -1) → Ordered pair B' (1 × 2, -1 × 2) = Ordered pair B' (2, -2).
Ordered pair C (2, -2) → Ordered pair C' (2 × 2, -2 × 2) = Ordered pair C' (4, -4).
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There are 40 centipedes in an area of rainforest. The number of centipedes is expected to increase by 64% every year compared to the year before. a) How many centipedes are expected to be in the area of rainforest in 5 years' time? b) How many centipedes are expected to be in the area of rainforest in 20 years' time? Round your answers to the nearest 100.
There are expected to be 700 centipedes in the area of rainforest in 5 years' time.
There are expected to be 129,800 centipedes in the area of rainforest in 20 years' time.
We have,
a)
To calculate the number of centipedes in 5 years, we can use the equation:
N = N0 × (1 + r)^t
where:
N0 = initial number of centipedes (40)
r = annual growth rate (64% or 0.64)
t = time in years (5)
N = final number of centipedes after 5 years
Plugging in the values, we get:
N = 40 × (1 + 0.64)^5
N ≈ 666.23
Rounding to the nearest hundred, we get:
N ≈ 700
b)
To calculate the number of centipedes in 20 years, we can use the same equation:
N = N0 × (1 + r)^t
where:
N0 = initial number of centipedes (40)
r = annual growth rate (64% or 0.64)
t = time in years (20)
N = final number of centipedes after 20 years
Plugging in the values, we get:
N = 40 × (1 + 0.64)^20
N ≈ 129,834.26
Rounding to the nearest hundred, we get:
N ≈ 129,800
Therefore,
There are expected to be 700 centipedes in the area of rainforest in 5 years' time.
There are expected to be 129,800 centipedes in the area of rainforest in 20 years' time.
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A 1-day movie rental at Red Box cost $2.00. For each additional day there is a fee of $0.59. How much will it cost to rent a movie 7 days?
20POINTS TO WHOEVER ANSWERS
Answer:
Step-by-step explanation
convert 1 2/3 = 5/3
3/4 / 5/3
3/4 x 3/5
9/20 ?
9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
