Answer:
Step-by-step explanation:
Elga's age = x
Alvin's age = 3*x = 3x
Sum of their ages = 24
x + 3x = 24
4x = 24
Divide both sides by 4
x = 24/4
x = 6
3x = 3*6 = 18
Elga's age = 6 years
Alvin's age = 18 years
Which ratio is equal to 10:5?
Answer:
2:1
Step-by-step explanation:
The following forces are applied to a box. What is the net force acting on the box? Question 3 options:
30 N left
35 N right
25 N left
15 N right
Step-by-step explanation:
net force acting on the box is,
10 + 20 - 5
→ 30 - 5 = 25
therefore, 25 N towards left is correct
Hope this answer helps you dear!
The net force acting on the box is 25 N. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the box is under the force of 10N, 20 N to the left and 5 N to the right.
The net force will be calculated as:-
F = 10 + 20 - 5
F = 30 - 5
F = 25 N to the left
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Pls help
With the second one
A and B and the triangle
Answer:
the new side lengths are 10.5 , 9 and 6 inches
the new triangle has the following sides: 5, 4, 3 inches
the perimeter of the first triangle is 36 inches
the perimeter of the second triangle is 12 inches
area of the first triangle is 54 inches squared
area of the second triangle is 6 inches squared
Step-by-step explanation:
first question:
sides are 7,6,4. multiply each one by 3/2 or 1.5
7 x 1.5 = 10.5 or 12/2
6 x 1.5 = 9
4 x 1.5 = 6
the new side lengths are 10.5 , 9 and 6 inches
second question:
multiply each side by 1/3
the sides are 15, 12, 9, so:
15 x 1/3= 5
12 x 1/3 = 4
9 x 1/3 = 3
the new triangle has the following sides: 5, 4, 3
normal sides are 3 and 4
hypotenuse is 5
question a: (calculate perimeter)
the perimeter of a triangle: you add all the sides
the first triangle has 15, 12, 9 for its sides so:
15+12+9 = 36
the perimeter of the first triangle is 36
the second triangle has 5,4,3 for its sides so:
5+4+3 = 12
the perimeter of the second triangle is 12
question b: (calculate the area of both triangles)
area of a triangle: h x b/2: height times base divided by 2
the first triangle has sides, 15,12,9
height is 9 and base is 12, so:
9 x 12/2 = 54 inches squared
area of the first triangle is 54 inches squared
the second triangle has sides, 5,4,3
height is 3 and base is 4, so:
3 x 4/2 = 6 inches squared
area of the second triangle is 6 inches squared
What are the smallest and greatest factors of 340?
Answer:
All Factors of 340: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170 and 340.
Prime Factors of 340: 2, 5, 17.
Prime Factorization of 340: 22 × 51 × 171
Sum of Factors of 340: 756.
Step-by-step explanation:
(3x +20)
Find the value of x. (Hint: The sum of the angle measures of a quadrilateral is 360°)
Help pls
Answer:
x = 20°
Step-by-step explanation:
The angle opposite to 3x + 20 is also 3x + 20 (opposite interior angles)
The angle opposite to 5x is also 5x (opposite interior angles)
Solve:
Set up the equation by adding all the angles. The sum of these angles should equal 360.
(3x + 20) + (3x + 20) + (5x) + (5x) = 36016x + 40 = 36016x = 320x = 20x = 20°
-Chetan K
Eric bought a new computer printer online for $150. The shipping cost was 8% of the purchase price. How much was the shipping cost?
Answer:
$12
Step-by-step explanation:
Method 1
8% = 8/100 = 0.08
Therefore, to find 8% of the purchase price, multiply 0.08 by $150:
$150 x 0.08 = $12
Method 2
$150 is 100% of the purchase price, so to find 8%, divide $150 by 100 to give the equivalent of 1% and then multiply that by 8 to find 8%:
150 ÷ 100 = 1.5 ⇒ $1.50 is 1% of the purchase price
1.50 x 8 = 12 ⇒ $12 is 8% of the purchase price
I need Help with this (Solving Equations with Efficiency) Topic:
Systems of Linear Equations.
There's two Equations
1. 1/4(x-5)+9=1/2x
2.5/4(x+1/2)+8=1/8x
What is the measure of the
third angle of this triangle?
Answer:
20 degrees
Step-by-step explanation:
every triangle had 3 angles that all add up to 180
the problem gives you two angles which are 120+40 which is 160
180-160 is 20 degrees which is whi it is the answer
Complete #2 for me and show proof , will give brainliest to whose right .
Answer:
X Y (X,Y)
-4 14. (-4,14)
-3 12. (-3,12)
-2 10. (-2,10)
-1 8. (-1,8)
0 6 (0,6)
1 4. (1,4)
2 2. (2,2)
I WILL GIVE BRAINLES PLS ASAP Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for extraneous solutions.
No solution
x = 0 and x = −2
x = −2; x = 0 is an extraneous solution
x = 0; x = −2 is an extraneous solution
Answer:
D) x = 0; x = −2 is an extraneous solutionStep-by-step explanation:
Given equation:
x / 2 = x² /(x - 2)We can see x = 0 is the solution as it makes both sides equal.
We have a fraction with the denominator of x - 2.
It can't equal to zero since we can't divide by zero:
x - 2 = 0x = 2 is an extraneous solutionCorrect choice is D
2. All of the girls in Danielle’s cabin at camp are the same age. Their counselor is 3 times their age. Danielle’s age and her counselor’s ages add up to 28. Write and solve an equation that can be used to find the ages of Danielle and her counsel
Answer:
Danielle is 7 and her counselor is 21
Step-by-step explanation:
Let x be the age of Danielle and y be the age of her counselor then:
y=3x
x+y=28
We can solve this using substitution. In this case, substitute 3x for y since y=3x...
x+3x=28
4x=28
Divide both sides by 4 (division property of equality)
x=7
y=3x=3(7)=21
Danielle is 7 and her counselor is 21
3x - 8 - x greater than or equal to 2
Answer:
x ≤ 5
Step-by-step explanation:
3x - 8 - x ≤ 2 , that is
2x - 8 ≤ 2 ( add 8 to both sides )
2x ≤ 10 ( divide both sides by 2 )
x ≤ 5
ray is constructing a flower bed for the zoo and wants to know if he has enough edging. A sketch of flowerben is shown below. What is the perimeter of the triangle? round to the nearest whole number
The perimeter of the triangle will be 41ft
The perimeter of a triangleThe perimeter of a triangle is the sum of all the sides of the triangle
From the given triangle, we need to get the third sidee firse as shown:
h² = 12² + 12²
h² = 144 + 144
h² = 288
h = 17ft
Perimeter = 12 + 12 + 17
Perimeter = 41ft
Hence the perimeter of the triangle will be 41ft
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Answer: 41 ft
Step-by-step explanation:
5.
The number of days a group of 200 homes is on the market is normally
distributed with a mean of 50 and a standard deviation of 12. Label the
normal distribution curve, then answer the questions.
a. What percent of the homes are on the market between 14 and 86 days?
b. What is the probability that a home is on the market for 62 days or more?
C. Approximately how many homes were on the market between 26 and 50
days?
Using the normal distribution, given the graph at the end of this problem, we have that:
a. 99.74% of the homes are on the market between 14 and 86 days.
b. 0.1587 = 15.87% probability that a home is on the market for 62 days or more.
c. Approximately 95 homes were on the market between 26 and 50 days.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 50, hence [tex]\mu = 50[/tex].The standard deviation is of 12, hence [tex]\sigma = 12[/tex].Item a:
The proportion is the p-value of Z when X = 86 subtracted by the p-value of Z when X = 14, hence:
X = 86:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{86 - 50}{12}[/tex]
[tex]Z = 3[/tex]
[tex]Z = 3[/tex] has a p-value of 0.9987.
X = 14:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14 - 50}{12}[/tex]
[tex]Z = -3[/tex]
[tex]Z = -3[/tex] has a p-value of 0.0013.
0.9987 - 0.0013 = 0.9974.
0.9974 = 99.74% of the homes are on the market between 14 and 86 days.
Item b:
The probability is 1 subtracted by the p-value of Z when X = 62, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{62 - 50}{12}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
1 - 0.8413 = 0.1587.
0.1587 = 15.87% probability that a home is on the market for 62 days or more.
Item c:
The proportion is the p-value of Z when X = 50 subtracted by the p-value of Z when X = 26, hence:
X = 50:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{50 - 50}{12}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a p-value of 0.5.
X = 26:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{26 - 50}{12}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.5 - 0.0228 = 0.4772.
Out of 200 homes:
0.4772 x 200 = 95.4
Approximately 95 homes were on the market between 26 and 50 days.
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Which number makes the equation true?
blank divided by twenty-four equals one third
6
8
12
36
Answer:
8
Step-by-step explanation:
24*1/3=8 so 8 divided by 24 would equal 03
Answer:
8
Step-by-step explanation:
___ ÷ 24 = 1/3
If we multiply both sides by 24...
We cancel the divided 24 of the left side of the equation, so we have blank
On the right side of the equation, we get 1/3 * 24.
1/3 * 24 = 24/3
24/3 = 8
So 8 is your answer
F(x) = 8x2 – 2x 3 g(x) = 12x2 4x – 3 What is h(x) = f(x) – g(x)? h(x) = 20x2 2x h(x) = –4x2 – 6x h(x) = –4x2 – 6x 6 h(x) = –4x2 2x.
To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.
The result of the difference of the given quadratic equation is,
[tex]h(x)=-4x^2-6x+6\\[/tex]
Hence option 3 is the correct option.
What is quadratic equation?A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.
The standard form of the quadratic equation is,
[tex]ax^2+bx+c=0[/tex]
Here, [tex]a,b,c[/tex] is the real numbers and [tex]x[/tex] is the variable.
To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.
Given information-
The given quadratic equations are,
[tex]f(x)=8x^2-2x+3[/tex]
[tex]g(x)=12x^2+4x-3[/tex]
The function [tex]h(x)[/tex] is the difference of the two given functions. Thus,
[tex]h(x)=f(x)-g(x)[/tex]
Put the values,
[tex]h(x)=(8x^2-2x+3)-(12x^2+4x-3)[/tex]
Open the brackets by multiplying with sign as,
[tex]h(x)=8x^2-2x+3-12x^2-4x+3[/tex]
Separate the terms with same power of variable as,
[tex]h(x)=8x^2-12x^2-2x-4x+3+3\\[/tex]
To add or subtract the two quadratic or polynomial equation, add or subtract the same power variables from each other.Thus,
[tex]h(x)=-4x^2-6x+6\\[/tex]
Thus the result of the difference of the given quadratic equation is,
[tex]h(x)=-4x^2-6x+6\\[/tex]
Hence option 3 is the correct option.
Learn more about the quadratic equation here;
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Answer:
c
Step-by-step explanation:
magic
Triangle ABC is congruent to triangle EDF. So, there is a rigid transformation that takes ABC to EDF.
Match each coinciding part.
From the rigid transformation that takes ABC to EDF, the coinciding parts based on congruency; are matched below.
Congruency in triangles
When we say two triangles are congruent to each other, it means that the corresponding sides and corresponding angles of both triangles are equal.
Thus, if triangle ABC is congruent to triangle EDF, then we can say that;
Angle A ≅ Angle E
Angle B ≅ Angle D
Angle C ≅ Angle F
Segment AB ≅ Segment ED
Segment AC ≅ Segment EF
Segment BC ≅ Segment DF
Read more about Congruent triangles at; https://brainly.com/question/7727792
What is the surface area of the right prism below?
Answer:
156 sq. units is the answer
Find the value of each variable in the parallelogram.
Step-by-step explanation:
diagonals bisect
5u-10= 2u+2
3u = 12
u=4
v/3 = 6
v=18
All the students at the birthday party came with
presents. 1/4 of the students brought balloons,
1/8 of the students brought gift cards, and the
rest brought a wrapped gift. What fraction of
the students brought a wrapped gift?
Evaluating Expressions
Answer: 13. -12 , 14. 40 , 15. 16 , 16. 4.5
Step-by-step explanation:
Find the area and the circumference of a circle with radius 2ft .
Use the value 3.14 for , and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Area & Circumference = 12.56ft
Step-by-step explanation:
The formula for area of a circle is πr^2
r = 2
π = 3.14
(3.14) x (2^2)
(3.14) x (4) = 12.56
The formula for circumference of a circle is 2πr
r = 2
π = 3.14
2 x (3.14) x 2
(3.14) x (4) = 12.56
write a system of linear inequalities represented by the graph.
Answer:
Inequality 1: y ≤ 5x + 1 Inequality 2: y > x -2
Explanation:
the first line is intersecting the y-axis at 1
coordinates = ( 0 , 1 ) , ( -1 , -4 )
slope of the first line = (y2-y1)/(x2-x1)
= (-4-1 )/(-1-0)
= -5/-1
= 5
so equation: y = mx + b ....where m is the slope and b is y-intercept.
→ y ≤ 5x + 1 .........as equals to and greater than
the second line is intersecting the y axis at -2
coordinates = ( 2 , 0 ) , ( 0 , -2 )
slope of second line = (y2-y1)/(x2-x1)
= (-2-0)/(0-2)
= 1
so equation: y = mx + b ....where m is the slope and b is y-intercept.
→ y > x -2 ..........as dotted represents not equals to.
What would it be reflected to?
what direction are you being asked to reflect them
Step-by-step explanation:
i can give an easy answer and explanation then
help please and add an explanation thank youuu
As an estimation we are told £3 is $5.
What is the conversion rate from $ to £?
Give your answer rounded to 2 DP.
Answer:
the conversion rate from £ to $ is 1£ = 1.67$
Step-by-step explanation:
the conversion rate from £ to $ is 1£ = 1.67$
please help ASAP i really need help
Can you solve this? The subject is about solving equations using addition and subtraction.
Answer:
$5.25
Step-by-step explanation:
add all the prices up and subtract it from $15
bumper cars : 1.75
giant slide : 1.75 - .50 = 1.25
ferris wheel : 1.25 + 1.50 = 2.75
roller coaster : 2.75 + 1.25 = 4.00
1.75 + 1.25 + 2.75 + 4.00 = 9.75
15 - 9.75 = 5.25
I need help asap please
CAN SOMEONE HELP ASAP ⚠️I WILL LITERALLY GIVE YOU ANY POINTS THANK YOU ITS DUE TOMORROW I WILL MARK YOU AS BRAINLIEST PIC BELOW COULD YOU EXPLAIN IT SO I KNOW WHAT DO ON THE OTHER QUESTIONS THANKS
Answer:
Area = 28 cm²
Step-by-step explanation:
The formula for trapezoids is (a + b)/2 · h
In this case, a = 6
b = 8
h = 4
Plug in the numbers into the formula.
A = (a + b)/2 · h
A = (6 + 8)/2 · 4
A = (14/2) · 4
A = 7 · 4
A = 28
**Another trapezoid formula you might know it by is also..
A = 1/2(b₁ + b₂)h
I suggest memorizing the formula. If you know the formula, you'll be set! All you will do is plug in the numbers. I'm not sure if this will help, but b₁ (or a) is the top measurement. In this case, it's 6 cm. And the b₂ (or b) is the bottom measurement, which is 8 cm in this case. The h or height is obviously 4 cm in this example.
