Answer:
20 + 5x = 50
Step-by-step explanation:
Let the number of cakes Sam baked this week be x
Total amount he received this week = $50
Amount he receives each week = $20
Amount he receives for baking one cake = $5
Amount he would receive for baking x cakes = $5x
Equation: 5x + 20 = 50
Answer:
20 + 5x = 50
Step-by-step explanation:
Let x be the number of cakes
Amount paid per cake = $5
Amount paid for "x" cakes = 5*x = 5x
Basic payment per week = $20
Amount paid that week = 20 + 5x
20 + 5x = 50
2. Sled kites rely on wind pressure to retain the shape of the sail. Each consists of a single square and two triangular pieces.
Kyle has made a model of a Sled kite as shown below. Show that the angles
(JUSTIFY)
Show that the angles A and B are congruent
Answer:
[tex]\angle A =\angle B =90^\circ[/tex]
Step-by-step explanation:
The diagram of the sled kite is attached below.
The central part of the kite is square.
We know by the property of a square that all its angles are congruent and equal to 90 degrees.
Therefore:
[tex]\angle A =\angle B =90^\circ[/tex]
Angles A and B are congruent.
Can Someone please help me with this please please please
Answer:
About 5.5, but it is technically closer to 5.6 so I am not entirely sure
Step-by-step explanation:
Since EB and DC are parallel, triangles ABE and ACD are similar by AA. Therefore:
[tex]\dfrac{x}{10}=\dfrac{10}{18} \\\\\\x=10\cdot \dfrac{10}{18}\approx 5.5[/tex]
Hope this helps!
find the area of the circle
Answer:
113.04
Step-by-step explanation:
Since the diameter of a circle is twice the radius, the radius of this circle must be 12/2=6ft. Using the area formula:
[tex]A=\pi r^2 =3.14 \cdot 6^2=113.04 \text{ ft}^2[/tex]
Hope this helps!
Answer:
113.04
Step-by-step explanation:
area = (pi)r^2
r = radius = diameter/2
r = 12 ft/2 = 6 ft
area = 3.14 * (6 ft)^2
area = 3.14 * 36 ft^2
area = 113.04 ft^2
What are the similarities and differences between the standard form and vertex form of a quadratic equation?
Answer and Step-by-step explanation: Standard form of a quadratic equation is expressed as: y=ax²+bx+c, while vertex form is written as:
y=a(x-h)²+k.
The similarities between standard and vertex forms is that they show if the graph of the equation has a minimum (when a>0) or maximum (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.
The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.
The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.
Julie and her classmates are holding a car wash to raise money for a trip to England next summer. During the first 32 minutes, they have washed a total of 5 cars. If the class continues to wash cars at this rate, about how many will they have washed after 8 hours?
Answer:
75 cars
Step-by-step explanation:
Convert the 8 hours into minutes, 480.
Divide by the 32 minutes, 15.
Multiply by the number of cars in 32 minutes, 5.
Answer is 75.
Answer:
75 cars.
Step-by-step explanation:
Let's use a ratio to solve:
minutes : cars
32 : 5
160 : 25
320 : 50
480 : 75
Since 480 minutes is 8 hours, and they get 75 cars washed in 480 minutes, then they have washed 75 cars in 8 hours.
What is the the points of discontinuity, holes, vertical asymptotes, x-intercepts, and horizontal asymptote of (x-2)/(x-4) and how did u get it
Answer:
The answer is explained below
Step-by-step explanation:
The equation f(x) = [tex]\frac{x-2}{x-4}[/tex]
1) Points of discontinuity
To find the Points of discontinuity, we check if there is a common factor between the numerator and denominator.
From The equation f(x) = [tex]\frac{x-2}{x-4}[/tex] there is no common factor between the numerator and denominator therefore there is no point of discontinuity
2) holes
To find the holes, we check if there is a common factor between the numerator and denominator.
From The equation f(x) = [tex]\frac{x-2}{x-4}[/tex] there is no common factor between the numerator and denominator therefore there is no hole
3) Vertical asymptotes
To find the Vertical asymptotes, we equate the denominator to be equal to zero. Therefore from The equation f(x) = [tex]\frac{x-2}{x-4}[/tex], the denominator is:
x - 4 = 0
x = 4
The Vertical asymptotes is at x = 4
4) x-intercepts
To find x intercept, equate the function to zero.
f(x) = [tex]\frac{x-2}{x-4}[/tex]
0 = [tex]\frac{x-2}{x-4}[/tex]
x - 2 = 0
x = 2
The x intercept is at x = 2
5) horizontal asymptote
If the denominator has a higher degree than the numerator, the horizontal asymptote is at y = 0. If the denominator has the same degree as the numerator, the horizontal asymptote is at y = [tex]\frac{a}{b}[/tex], where a and b are the leading coefficients of the numerator and denominator.
For The equation f(x) = [tex]\frac{x-2}{x-4}[/tex], If the denominator has the same degree as the numerator. Therefore the horizontal asymptote is at f(x) = [tex]\frac{x}{x}=1[/tex], the horizontal asymptote is at y = 1
Radius OB measures x units. Which expression represents
the circumference of the smaller circle with radius OA?
of
olex units
(x units
021x units
0 6ux units
Answer:
Circumference of the smaller circle = 2.1x units
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?
Radius of the larger circle OB = x units
Radius of the smaller circle OA = y units
Circumference of larger circle = 2πx units
Circumference of smaller circle = 2πy units
Since circumference of larger circle is 3 times the circumference of smaller circle,
2πx = 3(2πy)
2πx = 6πy
x = 3y
y = [tex]\frac{x}{3}[/tex]
Therefore, circumference of the smaller circle = [tex]2\pi (\frac{x}{3})[/tex] units
= [tex]\frac{2\pi x}{3}[/tex] units
= 2.094x
≈ 2.1x
Circumference of the smaller circle circle = 2.1x units
If 24:14=12:x what is x
Answer:
x=7
Step-by-step explanation:
24:14
Divide each number by 2
24/2 : 14/2
12 : 7
x =7
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]24:14=\frac{24}{14}[/tex]
[tex]12:x= \frac{12}{x}[/tex]
[tex]\frac{24}{14} =\frac{12}{x}[/tex]
[tex]24x=14 \times 12[/tex]
[tex]24x=168[/tex]
[tex]\frac{24x}{24}=\frac{168}{24}[/tex]
[tex]x=7[/tex]
Practice converting units and comparing quantities.
Assignment
The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162
inches in height. Which best explains whether or not the truck can pass safely under the bridge?
The truck can pass safely under the bridge. The truck is 13 inches shorter than the maximum height.
The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.
The truck can pass safely under the bridge. The truck is 12 inches shorter than the maximum height.
The truck cannot pass safely under the bridge. The truck is 12 inches taller than the maximum height
Answer:
Converting Units and Comparing Quantities:
The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.
Step-by-step explanation:
Maximum height of vehicle to pass bridge, (A) = 12 feet 5 inches = (12 x 12) + 5 = 144 + 5 = 149 inches
A Truck's height (B) = 162 inches
The difference between height of Truck and maximum height of allowed vehicle = (A - B) = 13 inches (162 - 149)
Therefore, the truck is higher than the bridge by 13 inches, and cannot pass the bridge.
For the truck to pass the bridge, it must be below 149 inches.
Which triangle has 3 reflectional symmetries?
Answer:
equilateral triangle
Step-by-step explanation:
A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry. plz next time do not ask questions that have pictures (not to be rude just want brainly safe) :)
Un submarino puede descender a una velocidad de –2,5 metros / segundo. Supongamos que el submarino comienza a una profundidad de –25 metros. ¿Cuánto tiempo le tomaría al submarino alcanzar su profundidad máxima de –200 metros?
17.5
Step-by-step explanation:
If 96 out of 200 pet owners own cats, what fraction and what percentage of
pet owners do not own cats?
Check all that apply.
A. 52%
104
IL B.
200
C. 48%
D. 0.52%
E 96 help ASAP plz
200
Answer:
A. 52% and B. 104/200
Step-by-step explanation:
To find the answer, we first have to find how many pet owners own cats. As percentages are x/100, when we have x/200 we divide the numerator and denominator by 2 to bring the fraction to 48/100. (96/200 divided by 2 equals 48/100). Now that we have the percentage of pet owners that own cats (48%), we need to find how many do not own cats. To do so, we just subtract 100-48 to get 52. Then, we do the same to the fraction of 96/200. (200-96 = 104). This brings our answers to A. 52% and B. 104/200
The percentage of owners that do not own cat is 52%
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given here, 96 out of 200 pet owners own cats then the owners who do not own cat are 104
Therefore the number of non cat owners in percentage terms is
= (104/200) ×100
= 52.5%
Hence, the answer is 52.5%
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I NEED HELP PLEASE, THANKS! :)
Answer:
2nd option: (0.5, 7), maximum; (2, 1) point of inflection; (3.5, -5), minimum.
Step-by-step explanation:
The maximum point, or a point of the graph with the highest y-value, is at
(0.5, 7).
The minimum point, or a point of the graph with the lowest y-value, is at
(3.5, -5).
The point of inflection is where the graph begins to change direction. This is at (2, 1).
Therefore, the 2nd option is correct.
Please answer for BRAINLIEST!
Answer:
1.5 units squared
Step-by-step explanation:
Area of a Triangle formula: A = 1/2bh
Pythagorean Theorem: a² + b² = c²
Since you are missing the h to find the area of the triangle, you must use Pythagorean to find the 3rd missing side (it is a right triangle so you can use Pythagorean).
Step 1: Use Pythagorean
2.5² = 1.5² + b²
4 = b²
b = 2
Step 2: Switch variables
b (from Pythagorean) = h (height for Area)
Step 3: Solve for Area
A = 1/2(1.5)(2)
A = 1.5
And you have your final answer.
Drag each equation to show if it could be a correct first step to solving the equation
4(3 + x)=36
4(3+x)=144
(4•3)+(4•x)=36
12+4x=36
12+x=36
3+4x=36
3+x=9
Yes,no,not enough
Answer:
x=6
Step-by-step explanation:
4(3+x)=36
12+4x=36
4x=36-12
4x=24
x=6
Proof: 4(3+x)=36
4(3+6)=36
12+24=36
36=36
Hope it helps
Answer:
yw
Step-by-step explanation:
What is the solution set of |-x| = -10?
O {10}
O {-10}
O {-10, 10}
O no solution
Answer:
no solution
Step-by-step explanation:
The absolute value must be non negative
|-x| = -10
The right side is negative
There will be no solution
Answer:
No solution
Step-by-step explanation:
This equation has no solution, since the absolute value of a number is never negative.
nich equation can be used to find one multiple of 16?
16-8= 2
16 + 4 = 4
16 x 0 = 0
16 x 2 = 32
Answer:
D. 16 x 2 = 32
Step-by-step explanation:
A and B even not calculate correct, C can not find multiple is only D can.
The quotient of 63 and 9 Multiplied by 7
Answer:
when 63 is divided by 7 is 9 -> 63/7 = 9.
Step-by-step explanation:
The expression is equal to 49.
We have given an expression
[tex]\frac{63}{9}\times 7[/tex]
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context
[tex]=\frac{63}{9}\times7\\\\=7\times7\\ =49[/tex]
Therefore the expression is equal to 49.
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Bob is going to make some orange paint. He needs to mix red paint, yellow paint in the ratio 5:4:1. Bob wants to make 750ml of orange paint. Bob has 400ml of red paint, 300ml of yellow paint, 200ml of white paint. Does bob have enough red paint, yellow paint and white paint to make orange paint
Answer:
He has enough paints to make the orange paint
Step-by-step explanation:
The key to answering this question is to share the 750ml into the ratio given.
Afterwards, what we do is to check if what we have shared is equal to the volumes we have at hand. Then from here, we can conclude if we have enough volumes or not.
Total ratio is 5+ 4 + 1 = 10
For the red paint we have
5/10 * 750 = 375 ml
For the yellow, we have
4/10 * 750 = 300ml
For the white paint, we have
1/10 * 750 = 75ml
Now since the ratio we have shared does not at any point exceed the stock level of the paints she has, we can conclude that he has enough paints to make the orange paint
True or False: You can draw a quadrilateral with two sets of parallel lines and no right angles.
Answer:
yes
Step-by-step explanation:
a parallelogram has no right angles yet the sides are parallel
How many cubes are needed to build this figure?
Answer:
6
Step-by-step explanation:
the box has 2 x 3 x 1
so if we use cube 1 x 1 x 1
we need 6 cubes
Answer:6
Step-by-step explanation:
I counted the top
PUZZLED HELP! If I solve an equation, get the answer, but when I do a" check step", does it mean that I have to solve the equation again? Example: 3(x – 1) + 2x = 6x is equaled to -3, but when I checked it the answer was false...-16=-18 (false)
Answer:
If it's wrong then yes you should try to solve the equation again if not then you should be fine to just move on
if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
Answer:
(f+g) (x)=4x^2+3x/2-7
Step-by-step explanation:
f(x)= x/2-3 and g(x)=4x^2+x-4
(f+g) (x)=?
(f+g) (x)=f(x)+g(x)
(f+g) (x)=x/2-3+4x^2+x-4
combining like terms
(f+g) (x)=4x^2+x/2+x-3-4
(f+g) (x)=4x^2+3x/2-7
hope it helps. Brainliest please
Find the 14th term of the geometric sequence 10, 20, 40, ...
The 14th term of the geometric sequence 10, 20, 40, ... is 81920.
What is geometric sequence?"A geometric sequence is a special type of sequence. It is a sequence in which every term (except the first term) is multiplied by a constant number to get its next term."
The geometric sequence formulas include the formulas for finding its nth term and the sum of its n terms. We will see the geometric sequence formulas related to a geometric sequence with its first term 'a' and common ratio 'r' (i.e., the geometric sequence is of form [tex]a, ar, ar^{2},ar^{3} ,.............[/tex]). Here are the geometric sequence formulas.
[tex]a_{n}=ar^{n-1}[/tex]
Given geometric sequence
10, 20, 40, .........
From the given sequence
[tex]a_{1} = 10[/tex], [tex]a_{2} = 20[/tex], [tex]a_{3} = 40[/tex]
Using the formula [tex]a_{n}=ar^{n-1}[/tex]
⇒ [tex]a_{4} = 10(2)^{3} =80[/tex]
⇒ [tex]a_{5} = 10(2)^{4} =160[/tex]
⇒ [tex]a_{6} = 10(2)^{5} =320[/tex]
⇒ [tex]a_{7} = 10(2)^{6} =640[/tex]
⇒ [tex]a_{8} = 10(2)^{7} =1280[/tex]
⇒ [tex]a_{9} = 10(2)^{8} =2560[/tex]
.
.
.
⇒ [tex]a_{14} = 10(2)^{13} =81920[/tex]
Hence, the 14th term of the geometric sequence 10, 20, 40, ... is 81920.
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how many times do you need to add 5 to 17 to reach the product of 6 and 7
Answer:
5
Step-by-step explanation:
The product of 6 and 7 is 42.
Let x be the number of times needed to add 5 to 17 to reach 42.
17 + 5x = 42
5x = 42 - 17
5x = 25
x = 5
Answer: I’m pretty sure it’s 5
Step-by-step explanation:
Please someone help me I need the right answer just tell me the right answer please
Answer: (D)
Step-by-step explanation:
Let 8/9=x/12
9*x=12*8
9x=96
x=10.7
HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
Answer:
The answer would Be B
Step-by-step explanation:
find the value of x
m<2= 10x + 10
Answer: x = 12
Step-by-step explanation:
a) Linear Pair: 110° + ∠a = 180° --> ∠a = 70°
b) congruent sides implies congruent angles --> ∠b = 70°
c) Triangle Sum Theorem: ∠a + ∠b + ∠c = 180
70° + 70° + ∠c = 180°
∠c = 40°
d) Complimentary Angles: ∠c + ∠d = 90°
40° + ∠d = 90°
∠d = 50°
∠2) Linear Pair: ∠d + ∠2 = 180°
50° + ∠2 = 180°
∠2 = 130°
x) m∠2 = 130°
10x + 10 = 130°
10x = 120
x = 12
Johnny rode his bike StartFraction 4 over 7 EndFraction of a mile from his house to the lake on a straight path. Then, he turned around and rode his bike 3 and StartFraction 1 over 8 EndFraction miles in the opposite direction. About how far is Johnny from his house? 1 and one-half miles 2 miles 2 and one-half miles 3 miles
Answer:
1 1/2 miles
Step-by-step explanation:
(aka option A on edge)
I just need the answer for b
Answer:
For an nth term in an arithmetic sequence
U(n) = a + ( n-1)d
a = first term
d = common difference
n = number of terms.
Considering the above picture
a = 9
d = 6 - 9 = - 3
For an nth term of the sequence
U(n) = 9 + (n - 1)-3
= 9 - 3n + 3
= 12 - 3n
Hope this helps
