A toy store received a large shipment of toy race cars. The cars come in blue and red. Because the red cars are more popular, the toy store wanted the ratio of red cars to blue cars to be 3:2. If total number of cars received was 40, then how many of the cars were red?

Answers

Answer 1

Answer:

24 cars

Step-by-step explanation:

Given

[tex]Red:Blue = 3:2[/tex]

[tex]Cars = 40[/tex]

Required

Determine the number of red cars

Number of red cars is calculated using:

[tex]Red\ Cars = \frac{Red\ Ratio}{Total\ Ratio} * Cars[/tex]

[tex]Red\ Cars = \frac{3}{3 + 2} * 40[/tex]

[tex]Red\ Cars = \frac{3}{5} * 40[/tex]

[tex]Red\ Cars = \frac{3 * 40}{5}[/tex]

[tex]Red\ Cars = \frac{120}{5}[/tex]

[tex]Red\ Cars = 24[/tex]


Related Questions

The cost of labor for servicing cars at B&B Automotive is $50 for each whole hour or for any fraction of an hour. There is a $25 additional charge to get the oil changed & fluid checked. What would be the cost of servicing a car that required 3.45 hours of labor if the owner requested that the oil be changed and the fluids be checked? a. $100 c. $225 b. $175 d. $250

Answers

Answer:

d. $250

Step-by-step explanation:

We can use the equation of a straight line to model the cost of servicing the car.

let the cost be y and the number of hours be x

and the charge per hour is m

y=mx+c

y=50x+25

given that the time is 3.45 hours it is assumed that the charge is for 4 hours since for a fraction of 0.45 hours we are charged $50

y=50(4)+25

y=200+25

y=$225

Does anyone know the answer? Pls help

Answers

Answer:

x = 24

Step-by-step explanation:

First, substitute x = -6y into the top equation:

-6y + 3y = 12

-3y = 12

Divide both sides by -3, and you get:

y = -4

Now, you plug in the y value to the second equation:

x = -6(-4)

x =24

Given :

[tex]{ \longrightarrow\qquad \sf x + 3y = 12 \: –––– \sf \: (i)}[/tex]

[tex]{ \longrightarrow\qquad \sf x = - 6y \: –––– \sf \: (ii)}[/tex]

(i) – (ii) we get :

[tex]{ \longrightarrow \qquad \sf \: {x + 3y -x = 12 - ( - 6y)}}[/tex]

[tex]{ \longrightarrow \qquad \sf \: { \cancel{x} + 3y \: \cancel{ - \: x }= 12 + 6y}}[/tex]

[tex]{ \longrightarrow \qquad \sf \: { 3y - 6y = 12 }}[/tex]

[tex]{ \longrightarrow \qquad \sf \: { - \: 3y = 12 }}[/tex]

[tex]{ \longrightarrow \qquad \sf {- \: y = \dfrac{12}{3} }}[/tex]

[tex]{ \longrightarrow \qquad \bf \: { y = - \: 4 }}[/tex]

Now, Substituing the value of y in equation (i) :

[tex] \longrightarrow \qquad \sf{x + 3( - 4)= 12}[/tex]

[tex] \longrightarrow \qquad \sf{x - 12= 12}[/tex]

[tex] \longrightarrow \qquad \sf{x = 12 + 12}[/tex]

[tex]\longrightarrow \qquad \bf{x = 24}[/tex]

Therefore,

The value of x is 24 .

How did you get the answer.

Answers

I dunno. Here is a bald lady emoji thought ‍

The perimeter of rectangle of length 600 and breadth 350 is ___________

Answers

Answer:

950

Step-by-step explanation:

Not gonna lie I kinda stole yo answer other person deserves all the credit

Ned is looking over his credit scores. his experian score is 690, his equifax score is 691, and his transunion score is 651. what is his mean credit score? (round to the nearest whole point, if applicable.) a. 677 b. 671 c. 665 d. 690

Answers

The mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.

What is mean credit score?

The mean credit score is the ratio of sum of all the credit score to the number of different credit scores.

Ned is looking over his credit scores. The different score is in his credit score are,

His experian score is 690, His equifax score is 691, His transunion score is 651.

The sum of all the score is,

[tex]\sum \rm score=690+691+651\\\sum \rm score=2032[/tex]

There are total 3 scores. Thus the mean credit score is,

[tex]m=\dfrac{2032}{3}\\m\approx677[/tex]

Hence, the mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.

Learn more about the credit score here;

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Answer:

A. 677

Step-by-step explanation:

That is his mean credit score, i got it right on edge

Amanda has a bookcase with 30 books. There are 3 shelves in the bookcase. Each shelf has the same number of books. How many books does each shelf have?

Answers

Answer:10 books per shelf

Step-by-step explanation:

30 books

3 shelves

30x3=10

10 books per shelf

if I want a PlayStation for $300.00 and I get paid $10.50 a week how long would it take me to buy the PlayStation

Answers

Answer:

29 weeks or 4 months (not exactly)

Step-by-step explanation:

300/10.5 is 28.57

which 29 weeks, you earn 4 dollars and 50 cents left over

While shopping for clothes, Grace spent $39 less than
3 times what Emily spent. Grace spent $36. Write and
solve an equation to find how much Emily spent. Let x
represent how much Emily spent.

and write an equation to represent the following description and use x as the variable

Answers

Answer:

Step-by-step explanation:

$39 plus the amount of money Grace had spent, $36.

39 + 36 = 75.

That gets rid of the "39 less than" part. But in order to find out how much money Emily spent you need to triple 75.

75 x 3 = 225

Therefore, x = 225 or $225 was the amount that Emily spent.

Hope this helps! ^u^

Brainliest please.

Si un polinomio es divido por el termino x-c, entonces el residuo es ¿Esta oración de qué teorema habla?
Grupo de opciones de respuesta

De la División Sintética

Del Factor

Del Residuo

De Pitágoras
cual es????????'

Answers

El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.

¿Qué es el teorema del residuo?

Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.

Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.

Encuentre más información sobre el teorema matemático aquí:

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Which value of x makes the following equation true?

5(x - 2) + 74 = -3x
A. 8


B. -7


C. -4


D. -8

Answers

Answer:

x=−8

Step-by-step explanation:

(5)(x)+(5)(−2)+74=−3x

5x+64=−3x

8x+64=0

8x=−64

x=−8

Answer:

da answer iz equals to -8

35 is what percent of 56?

Answers

Answer:

19.6

Step-by-step explanation:

35% of 56

=35/100×56      

19.6

hope this helps

pls brainliest!!!!!

Answer:

19.6 is the answer

Step-by-step explanation:

35%of 56

35/100×56

19.6 answer

it takes a work crew 12 days to build 4 houses. How many days does it take to build one house?

Answers

Answer:

it takes 3 days for the crew to make one house

find x with reason(s)

Answers

Answer:

Well we know this is a parallelogram

-A theorem states that if both opposite side of a quadrilateral (4 sided shape) are congruent then it’s a parrlelogram.
-We also know this is a rhombus becuase all sides are congruent and has no right angle present. A theorem to support this is, If two consecutive sides of a parallelogram are congruent, then the parallelogram is a a rhombus.

So we’re trying to find x.

A theorem states that “The diagonals of a rhombus bisects two angles of the rhombus.”

Bisect means cut in a way that both angles are equal.

That means the two angles given have to be equal to each other.

We can make an equation.

110-x = x

Now solve
2x= 110

X= 55

X would equal 55

x=55


HELP QUICKLY!!
10+(28-8)/4

Answers

Answer:

15

Step-by-step explanation:

The order of operations is the key to solving this problem.

The PEMDAS acronym stands for:


Parenthesis

Exponents

Multiply

Divide

Add

Subtract

10+(28-8)÷4

First, solve parenthesis.

[tex]\sf{10+(28-8)\div4}[/tex]

[tex]\sf{28-8=20}[/tex]

Rewrite the problem down.

[tex]\sf{10+20\div4}[/tex]

Then, divide.

20/4=5

Rewrite the problem down.

10+5

Add.

[tex]\sf{10+5=\boxed{\sf{15}}[/tex]

So, the correct answer is 15.

I hope this helps you! Please let me know if my answer is incorrect.

Answer:

[tex]\displaystyle 15[/tex]

Step-by-step explanation:

[tex]\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 10 + (28 - 8) \div 4 \hookrightarrow 10 + 20 \div 4 \\ \\ \boxed{15} = 10 + 5[/tex]

By using GEMS, the result is fifteen.

I am joyous to assist you at any time.

The radius of a circle is 65 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.

Answers

circumference = 2 x pi x r

r = 65 cm

so C ≈ 2 x 3,14 x 65 ≈ 408,20

Answer: C=408.41 centimeters

Step-by-step explanation:

2 times pi times 65

130 pi

Approximately 408.41

How many gallons of paint will you need in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet?

Answers

Answer:42 x27

Step-by-step explanation:Calculate how much paint and primer you need by entering the dimensions of your room below. Estimate how many gallons are needed based on average paint/primer coverage. Optionally, include ceiling paint in your estimate.

The number of gallons that are needed will be 6 gallons.

The number of gallons of paint that will be needed in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet will be:

= (27 × 42) / 200

= 1134 / 200

= 5.67

= 6 gallons.

Learn more about division on:

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A car travels 60km/h and then a further 180km at 160km/h find the total time taken

Answers

Answer:

30

Step-by-step explanation:

Hi I am so not helpful do not use this answer

30 is your answer I’m pretty sure

what is e( f + g) as a distributive property and in expanded form?

Answers

e(f + g) = ef + eg

This expression has distributive property shown above.
Distributive property = e(f+g)
= ef + eg

Expanded form = (e x f) + (e x g)

The total weight of 15
chairs is 45 pounds.
How many pounds
would 40 chairs weigh?

Answers

try 10 maybe because if there’s 45 it might be going up by 5 so if it’s 40 it would be 10

Select the correct answer.
A bicycle wheel company packages each wheel in a square box. Each wheel has a circumference of about 56.5 inches. What is the approximate length of each side of the box?

A.
81 in
B.
18 in
C.
24 in
D.
9 in

Answers

Answer:

the correct answer is B. 18 in

f (x) = 3x - 5, find f (7)

Answers

Answer:

f(7) = 16

Step-by-step explanation:

substitute x = 7 into f(x) , that is

f(7) = 3(7) - 5 = 21 - 5 = 16

In ΔABC, m∠A = 112°, b = 8, and c = 14. Identify a rounded to the nearest tenth.

1. 13.3
2. 12.6
3. 19.0
4. 18.5

Answers

The triangle above can be solved using cosine rule, the value of a using cosine rule is approximately 18.5

The side can be found using cosine formula for triangles.

Cosine formula

a² = b² + c² - 2bc cos A

where

a = ?

b = 8 units

c = 14 units

Therefore,

a² = 64 + 196 - 2 × 8 × 14 cos 112

a² = 260 - 224 cos 112

a² = 260 + 83.9118769252

a = √343.9118769

a = 18.5448611993

a = 18.5

Therefore, the value of a is approximately 18.5

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If 10% of my money is $15, then what is 40% of my money?

Answers

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 10&15\\ 40&x \end{array}\implies \cfrac{10}{40}=\cfrac{15}{x}\implies \cfrac{1}{4}=\cfrac{15}{x}\implies x=60[/tex]

Answer:

$21

Step-by-step explanation:

if 10% is $15 then 40%*$15 is $21

expand o write an equavilent expression -1/4(-8x + 12y).

Answers

Answer:

[tex]2x-3y[/tex]

Step-by-step explanation:

Apply the distributive property by multiplying the outside to both terms on the inside:

[tex]-\frac{1}{4}[/tex] of -8x is equal to 2x

[tex]-\frac{1}{4}[/tex] of 12y is equal to 3y.

QUICK!!! Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (−3, 5) and a radius of 24. What steps will help show that circle A is similar to circle B? (5 points)
Group of answer choices
A. Translate circle A using the rule (x + 3, y − 1).
B. Rotate circle A 180° about the center.
C. Dilate circle A by a scale factor of 4.
D. Reflect circle A over the line y = x.

Answers

Answer:

Dilate circle A by a scale factor of 4. (c)

Step-by-step explanation:

HOPE THIS HELPS!!!

The steps will help show that circle A is similar to circle B is Dilate circle A by a scale factor of 4.

The correct option is (C).

What is Dilation?

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Circle A has center of (0, 4) and a radius of 6

circle B has a center of (−3, 5) and a radius of 24.

The radius of circle A is 6 cm and radius of circle B is 24 cm, which 4 times the radius of circle A.

We know, Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

This transformation produces an image that is the same as the original shape.

Thus, Dilate circle A by a scale factor of 4.

Learn more about dilation here:

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Someone please help me

Answers

Answer:

lemon pie is 7.5 and blueberry is 4.5

Step-by-step explanation:

What is the midpoint of the line segment graphed below?

Answers

Answer:

The midpoint is 7/2 -9/2

Step-by-step explanation:

The formula for finding the midpoint of a line is

This means the formula for the x-coordinate of the midpoint is , and the formula for the y-coordinate of the midpoint is .

First, let's find the x-coordinate of the midpoint:

Add the two x values of the coordinates given, then divide that by two.

Next, let's find the y-coordinate of the midpoint:

Add the two y values of the coordinates given, then divide that by two.

Therefore, the midpoint of the line segment is . Hope this helps!

PLZ HELP DUE IN 10

A 32-oz jug of orange juice may not contain exactly 32 oz of juice. The possibility of measurement error exists when the jug is filled in the factory. If the maximum measurement error isoz, write an absolute value in equality representing the range of volumes,x, in which the orange juice jug may be filled.

Answers

Answer:

If the maximum measurement error is at most 0.08 oz. , write and solve an absolute value inequality for the range of the possible number of ounces, Z, that can be in a jug of orange juice.

Simplify your answer and write it in interval notation.

Step-by-step explanation:

I will only give you that. I am so sorry that my response is this late love. If there was some way to receive your question, I would most definitely help you! I hope you did well on this problem!

=)


Pls help me pls I have a test

Answers

Answer:

See below.

Step-by-step explanation:

Area (rectangle) = Area (square)

6 x 10 = s²

s² = 60

s = √60

s = 2√15 cm

Perimeter

= 4s

= 4 x 2√15

= 8√15 cm

An amusement park ride lifts seated riders 265 feet above the ground. The riders are then dropped and experience free fall until the brakes are activated 105 feet above the ground. The function h=-16t^2+265 represents the height h (in feet) of the riders t seconds after they are dropped. How long do the riders experience free fall? Round your solution to the nearest hundredth.
The riders experience free fall for about ___ seconds.

Answers

Answer:

The riders experience free fall for about 3.12 seconds.

Step-by-step explanation:

Find t when  h = 105

105= [tex]-16t^{2} +256[/tex]

0= [tex]16t^{2}[/tex] +160

0 = -16([tex]t^{2}[/tex]-10)

[tex]t^{2}[/tex] - 10 = 0

[tex]t^{2}[/tex] = 10

[tex]t = \sqrt{10}[/tex]

The riders experience free fall for about 3.16 seconds.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find how long the riders experience free fall, we need to find the time when the height is 105 feet above the ground.

So, we need to solve the equation:

-16t² + 265 = 105

Adding 16t² to both sides, we get:

16t² = 160

Dividing both sides by 16, we get:

t² = 10

Taking the square root of both sides, we get:

t = ±3.16

Since we are only interested in the positive value of t, we can round 3.16 to the nearest hundredth to get:

t = 3.16 seconds

Therefore,

The riders experience free fall for about 3.16 seconds.

Learn more about functions here:

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