Georgie's toy car collection consists of modern and classic cars. He has four times as many classic cars as he cars. If he has 320 total cars in his collection, how many modern cars does he have?

Answers

Answer 1

Use a system of equations to solve this problem. Let "x" represent the number of classic cars, and "c" represent the number of cars.

320 = x + c
x = 4c

In this case, it'll be easiest to use the substitution method to solve the system of equations.

320 = (4c) + c
320 = 5c

Now solve for "c":

320/5 = c
c = 64

Since you now know there are 64 regular cars, you can subtract that from the total amount for the number of classic cars.

320 - 64 = 256

There are 256 classic cars.

To check the answer, multiply 64 by 4 and make sure it equals 256.

64 x 4 = 256

Related Questions

Which equation has no solution?

4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)

Answers

Answer:

5+ 2(3+2x) = x + 3(x+1) or B

Step-by-step explanation:

correct on edge 2021

The Equation have No solution is 4(x + 3) + 2x = 6(x + 2).

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

First, 4(x + 3) + 2x = 6(x + 2)

4x + 12 + 2x = 6x + 12

6x + 12 = 6x+ 12

0 = 0

Thus, the equation have No solution.

Second, 5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 6x = x + 3x + 1

6x+ 11 = 4x+ 1

2x = -10

x= -5

Thus, the equation have one solution.

Third, 5(x + 3) + x = 4(x + 3) + 3

5x+ 15 +x = 4x + 12 + 3

6x +15 = 4x + 15

2x = 0

x= 0

Thus, the equation have one solution.

Learn more about equation here:

https://brainly.com/question/29657983

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what is the solution to the linear equation? 2.8y+6+0.2y=5y-14

Answers

2.8y+6+0.2y=5y-14
Combine like terms
3y+6=5y-14
Subtract 6 from both sides
3y=5y-20
Subtract 5y from both sides
-2y=-20
Divide both sides by -2

Y=10

Answer:

Step-by-step explanation:

D)10

if you invest $100 a month into a retirement account paying 6% interest compounded monthly, how much will you have after 35 years?

Answers

Here's the equation for one year:
0.06(100) + 100
But because it is 35 years:
35(0.06(100)) + 100
2.1(100) + 100
We can make it simpler:
3.1(100)
310
You will have $310

Please solve both, graph and show work. answer also has to be in y=mx+b format.

2x-y=1 and x+y=2

Answers

2x-y=1
-2x -2x
-----------------
-y=-2x+1
Multiply by -1
y=2x-1

x+y=2
-x -x
------------
y= -x+2

All of the following are equal except
a)-|5|
b)-|-5|
c)|-5|
d) the opposite of 5

Answers

I’m pretty sure the answer is C

The answer is C. Having a value inside the absolute value bars will make the number positive (|-14| = 14, |6| = 6), but it doesn’t affect the operations outside of it. A,B, and D are all -5, while C is 5.

The sine of 37 degrees is equal to the cosine of what angle

Answers

We have sin37 = sin(90 - 53) = cos53;

Answer:

Step-by-step explanation:

The sine and cosine have to be equal to 90 degrees.

which is a value of x, when 3x²+4=40

Answers

3x^2+4=40
3x^2=36
x^2=12
x=+or-sqrt(12)

:)

Hey there!

Let's solve the equation step by step!
[tex]3 x^{2} + 4 = 40[/tex]

Subtract 4 from both sides.
[tex]3 x^{2} = 36[/tex]

Divide both sides by 3.
[tex] x^{2} = 12[/tex]

Solve the equation by taking the positive and negative root of 12.
[tex]x = \sqrt{12} = 2 \sqrt{3} = 3.46... \\or\\ x = - \sqrt{12} = -2 \sqrt{3} =3.46...[/tex]

The exact answer includes the roots, the other answer is the answer in two decimals.
~Hope this helps you!

The circumference of a circle is approximately 37.7 centimeters. Enter the radius of the circle, in centimeters. Round your answer to the nearest whole number.

Answers

37.7 = 2 x pi x r
18.85 = pi x r
r = 18.85/pi
or
r = 6

Hope this helps

The circumference of the circle is given as 2[tex] \pi [/tex]r where [tex] \pi [/tex] is a constant whose value is equal to 22/7 and r is the radius of the circle

From the given problem, we have the circumference =37.7

2[tex] \pi [/tex]r = 37.7

2*22/7*r = 37.7

r = 37.7*7/(22*2)

r = 263.9/44

r = 5.99

r = 6cm

Radius = 6 centimeters (Rounded to nearest whole number)

what is the difference between the greatest green bean weight and the least green bean weight

Answers

what are the weights?

If the area of a square is 64 square centimeters, whats the length of one side?

A. 8cm
B. 32cm
C. 16cm
D. 4cm

Answers

It's A. 8x8 is 64. Therefore, 8cm is correct.

It would be A because a square has four equal sides. To determine if this is right, you would find the square root of 64 which is 8. To check, find the answer to 8 to the power of two or 8 times 8 which is 64.

the formula for finding the area of a triangle is a equals 1/2 x base height a triangle has height 12 in an area of 54 in squared what is the length of its base

Answers

How to Set Up:
54=1/2 x b x 12
54 =6b
54/6
9=b

The lowest altitude of an altocumulus cloud is about 3 8 feet. The highest altitude of an altocumulus cloud is about 3 times the lowest altitude. What is the highest altitude of an altocumulus cloud? Write your answer as a power

Answers

[tex]3(3^8)[/tex] equals [tex]9^8[/tex] feet. hope this helps

It is given The lowest altitude of an alto cumulus cloud is about [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.

The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].

Jackson flipped a coin ten times. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip?

Answers

Answer:

1.5 i think

Step-by-step explanation:

6/4=1.5

HELP ME PLEASE 20 POINTS TO WHOEVER ANSWERS!

Answers

Bigger Triangle:
Perimeter = (4x + 2) + (5x - 4) + (7x + 7)
Perimeter = 4x + 2 + 5x - 4 + 7x + 7
Perimeter = 16x + 5

Smaller Triangle:
Perimeter = (x + 3) + (2x - 5) + (x + 7)
Perimeter = x + 3 + 2x - 5 + x + 7
Perimeter = 4x + 5

Diffference = 16x + 5 - (4x + 5)
Difference = 16x + 5 - 4x - 5
Difference = 12x

Answer:
(a) Bigger Triangle = 16x + 5 ; Smaller Triangle = 4x + 5
(b) Difference = 12 x

Blue triangle-

a. 16x + 5. To do this problem you combine all of the like terms, and that is your equation.

Pink triangle-

a. 4x + 5 You do the same steps you did before, combine like terms.

b. 12x "The difference" means subtraction. So you subtract the like terme
s of both the problems and get 12x.

Hope this helps!!

A photo of a painting measures
13 inches by 17 inches. The scale factor
is 1
3 . What size is the painting?

Answers

The size of the painting is [tex]$ \frac{13}{3} $ inches by $ \frac{17}{3} $[/tex] inches.

If the photo of the painting has dimensions of 13 inches by 17 inches and the scale factor is 1/3 it means that the dimensions of the painting itself are 1/3 times the dimensions of the photo.

To find the size of the painting, we need to multiply the dimensions of the photo by the scale factor.

For the length:

[tex]\[ \text{Length of painting} = 13 \times \frac{1}{3} = \frac{13}{3} \][/tex]

For the width:

[tex]\[ \text{Width of painting} = 17 \times \frac{1}{3} = \frac{17}{3} \][/tex]

what is a rational number?

Answers

A rational number is: A number that can be written as a quotient of 2 integers, where the divisor is not 0.

Example: 2/5 , -6,

Because you can write any integer as a quotient with a denominator of 1, all integers are rational numbers,

Example: 5 = 5/1

~Aamira~

Hope this helped☺☺

Any real #’s, like 5, 2/7, 1.4

Martina chose a random sample of 10 bags of candy from two different Brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots.
(see photo)

Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two Brands?

A. The number of candies in the bags from Brand B is greater and more consistent than the number of candies in the bags from Brand A.
B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.
C. The number of candies in the bags from Brand B is fewer and more consistent than the number of candies in the bags from Brand A.
D. The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.

Answers

I think the answer is A.

The answer is:
The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.

Numerical Expressions -I need help to understand how to complete this example . Any help would be appreciated.

Answers

Basketball 16+2=18 (2*8)+2

Baseball 40-5=36 (5*8)-4

Softball 18+6=24 ( (5*8)-4)/2 +6

8+18+36+24=86

Does 21.6,28.8,36 equal a right triangle

Answers

yes it does hope this helped

Explain why 0.77 > 0.077

Answers

0.77>0.077 because when you move over in hundredths place to the right in decimals, the value of the number decreases.

the value of 0.77 is greater than 0.077 because 0.77 is closer to one.

Find the circumference of the circle. Round to the nearest tenth.

A.) 148.4 m

B.) 84.8 m

C.) 196.6 m

D.) 54.0 m

Answers

Ans is B
HOPE I CAN HELP U

circumference = 2πr = 2 * (27/2) * π = 27π ≈ 84.8

Select from the drop-down menu to correctly compare the numbers.
50−−√ 6.237...

A ≤

B =

C ≥

Answers

Answer:the answer is c

Step-by-step explanation:

I just did the test I got at 100

What is the domain of this function

Answers

Hello!

The domain is the numbers that makes the function real

If we put x as 4 we get an undefined answer since you can't divide by 0

From this the domain is 4 > x < 4

Hope this helps!

Answer:

Domain (-∞,4)U(4,∞)

Step-by-step explanation:

Inmagine functions as little machines that turn one number into another, the domain would the numbers that we can enter to the machine so we would have a real number on the output of it.

In this specific case we can use all the numbers but 4 because if we make [tex]x=4[/tex] we would have [tex]\frac{12}{4-4}=\frac{12}{0}[/tex] and this is an indeterminate form which won't be solution to the problem.

According to the explanation our domain would be all the numbers but 4 like this:

Domain (-∞,4)U(4,∞)

Can someone answer a b and c. Will mark brainliest!!!!

Answers

b= max $8.17 min=$8.05
c=$9.05

If a customer wants to cover an area 20ft wide by 57ft long with rock, how many square feet does he have to cover?

Answers

he will need to cover 1,140 square feet because 20 x 57 = 1,140

A license plate comprised of 3 letters followed by 3 numbers is to be chosen (repetition is allowed). If the first letter cannot be a "Z", how many different ways can this occur? In your answer, include the set up and calculations for the license plate. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

Answers

Because there are 26 Letters, there are 25 possibilities for the first letter, and 10 choices for the numbers, so:
25*26*26*10*10*10
Multiply:
650*26*1000
16900*1000
There are 16,900,000 possibilities

Tabitha and her parents drive to Dallas for a wedding after 90 minutes Tabatha's father tells her that they have travel 105 miles what is the average rate of speed the car travel in 90 minutes

Answers

tabitha and her parents drives 1.16 mph. hopes this helps u.

1.16 minutes per mile or.085 miles per minute

Use absolute value to express the distance between −13 and 17 on the number line

Answers

Answer:

Step-by-step explanation:

Distance between two points a and b using the absolute value is given by

|b-a|.

Here we have a=-13

and b =17

Distance = | 17- (-13) |

Distance = |17 +13 |

Distance = | 30 |

Distance = 30 units

In absolute value, the distance is written as |30|

The given points:

[tex](x_1, x_2) = (-13, 17)[/tex]

To find:

the distance between -13 and 17

The distance between the two points on a number line is calculated as;

[tex]Distance = \sqrt{(x_2-x_1)^2} \\\\Distance = \sqrt{(17--13)^2}\\\\Distance = \sqrt{(30)^2} \\\\Distance = + /- \ \ 30[/tex]

In absolute value, the distance is written as;

Distance = |30|

Learn more here: https://brainly.com/question/23224485

ΔABC and ΔXYZ are similar triangles. If BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4, find the value of x.

Answers

Solution:

we are given that ΔABC and ΔXYZ are similar triangles.

As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.

Here we have

BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4

So we can write

[tex] \frac{x+9}{x+5}= \frac{x+7}{x+4}\\ \\ (x+9)(x+4)=(x+7)(x+5)\\ \\ x^2+13x+36=x^2+12x+35\\ \\ 13x-12x=35-36\\ \\ x=-1\\ \\ [/tex]

Hence then value of x=-1.

Answer:

-1

Step-by-step explanation:

What is the correct meaning of the word particular?
Millie looked through all of the markers until she found the particular shade to color the flowers
A) extremely rare
B) separate and distinct
C) easily seen or noticed
D) commonly occurring

Answers

Your answer is B - Seperate and Distinct

Answer:

Step-by-step explanation:

The answer is B

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