Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?

Answers

Answer 1

Answer:

15 centimeters

Step-by-step explanation:

Ratio of Mr. Thompson rectangle = length : width

= 5 : 2

Audrey plans to draw a rectangle with a width of 6 centimeters.

Ratio of Audrey rectangle = length : width

= x centimeters : 6 centimeters

Equate the two ratios to find the value of x

5 : 2 = x : 6

Cross product

5 * 6 = 2 * x

30 = 2x

Divide both sides by 2

x = 30 / 2

= 15

x = 15 centimeters

Audrey's rectangle should have a length of 15 centimeters

Answer 2

Answer:

15

Step-by-step explanation:


Related Questions

Graph the solution to the following inequality on the number line.
x^2 +10x >or equal to-24​

Answers

Answer:

x≤−6 or x≥−4

Step-by-step explanation:

We need to graph the inequality [tex]x^2+10x\ge -24[/tex]

We can find the solution of the graph as follows :

[tex]x^2+10x+24\ge 0\\\\x^2+6x+4x+24\ge 0\\\\x(x+6)+4(x+6)\ge 0\\\\(x+4)(x+6)\ge 0\\\\x\le -6\ \text{and}\ x\ge -4[/tex]

The attached figure shows the graph for the given inequality.

building and reduce

1/2 = / 10​

Answers

Answer: 5/10

Explanation: Compare the denominators. Since 2 ⋅ 5 = 10, multiply the numerator 1 by 5 to get 5.

Find the x-intercept and the y-intercept of the line below. Click on "None" if applicable.

Answers

Answer:

x- intercept is -2

y-intercept is 3

Step-by-step explanation:

x - intercept is x = -2

y intercept is y = 3

This is dealing with x and y intercepts of straight line graphs.

In straight line graphs, the y - intercept is simply the point where the line touches the y - axis while the x-intercept is the point where the line touches the x-axis.

From the graph given, the line touches the y-axis at y = 3 while it touches the x-axis at x = - 2

Thus;

x - intercept is x = -2

y intercept is y = 3

Read more at; brainly.com/question/4853862

Complete the table using the equation y = 7x + 2.

Answers

Answer:

-5,2,9,16,23

Step-by-step explanation:

The answers are listed in the order of the boxes.

Solve the system of equations algebraically.
GOF
4x + 5y = 15
- 4x + by = 7
a. (5/4, 2)
B. (2, 5/4)
C. (4/5, 2)
D. (2, 4/5)

Answers

A should be the right answer because 4*5/4=5 + 5*2=10 and 5+10=15.

HURRY PLSS
Which values are in the solution set of the compound inequality -8 <3x +7s 10? Select three options.
O-15
O-5
O-3
O1

Answers

Step-by-step explanation:

-8 < 3x + 7 <= 10

-15 < 3x <= 3 (subtract 7)

-5 < x <= 1 (divide by 3)

Hence the correct options are -3, 0 and 1.

Use the distributive property to remove the parentheses. Thankyou!


2(v - 5)

3(u - 2)

7(3 + v)

Answers

Answer:

1) 2v-10

2) 3u-6

3) 21 + 7v

Step-by-step explanation:

Using the distibutive property all you have to do is have the number on the of the parenthesis multiply itself to each component in your parenthesis.

Which number is a solution of the inequality?

8 < x (7-x)

2
8
-1
0


PLEASE HELP!!

Answers

Answer: The answer is 8

Step-by-step explanation:

Find the slope of the line.
3
D
1
ok
-4
5
-6
.
.9
-10
121
.
0
5
6
7
9 10
The slope is -3
I

Answers

Answer:

-1

Step-by-step explanation:

slope=[tex] \frac{change \: in \: y}{change \: in \: x} [/tex][tex] \frac{ - 1}{1} [/tex]

[tex] = - 1[/tex]

Please help with this thanks lol

Answers

Answer:

-70

Step-by-step explanation:

multiply each sides with (7/4)

(7/4)* 40 = (x/(-4/7)) * (7/4)

(7/4) *40 = -x

70= -x

x= -70

PLEASE HELP ASAP!!!!
Q1: What signals you that factoring by grouping is the best method to use when factoring a
problem? How would you know if it is factorable or prime?

Answers

Answer:

You know a number is not factorable or prime if nothing multiplies to it.

Step-by-step explanation:

For example there are no numbers that multiple to 7, same with 19. No 2 numbers will ever be able to = to 7 or 19 for example.

Hope this helps!!!

Answer:

prime numbers would be 2,4,6,8,10,12, and etc.....

Step-by-step explanation:

factorable means say we have the number 32 it factors down to 16 then 16 factors down into 8 then 8 goes down into 4 then 4 goes dow into 2

hope this helps

Two people decided to race. One of the cars is 10 meters north of the start line 5 seconds into the race. After 15 seconds, the car is 25 meters north of the start line. Calculate the average velocity of the car.

Answers

Answer:

The average velocity of the car is 1.5 m/s

Step-by-step explanation:

The given parameters are;

The displacement of one of the cars north of the start after 5 seconds = 10 meters

The displacement of the car north of the start after 15 seconds = 25 meters

The average velocity of the cars [tex]\overline v[/tex] is given as follows;

[tex]\overline v = \dfrac{\Delta x}{\Delta t}[/tex]

Where;

Δx = The change in the displacement of the car = 25 m - 10 m = 15 m

Δt = The corresponding amount of the change in time 15 s - 5 s = 10 s

By substituting the known values of Δx and Δt in the equation for the average velocity of the car, [tex]\overline v[/tex], we have;

[tex]\overline v = \dfrac{15 \ m}{10 \ s} = 1.5 \ m/s[/tex]

∴ The average velocity of the car, [tex]\overline v[/tex] = 1.5 m/s

Ray and 3 friends played with a remote-control car for a total of 105 minutes. They each played with the car for the same amount of time. Which statement about the amount of time Ray and his friends spent playing with the car is true?

Answers

Answer:

Time Taken by each = 26 min 15 sec

Step-by-step explanation:

Given:

Total time play = 105 min

Total number of friends = 1+3 = 4

Each play equal

Find:

Time Taken by each

Computation:

Time Taken by each = Total time play / Total number of friends

Time Taken by each = 105 / 4

Time Taken by each = 26 min 15 sec

please help me with this review. its for extra credit and i really need the extra credit. please leave explination with the correct work!!! even if i you only do 1 question you would still be helping me!

Answers

Answer:

First ones D I’m pretty sure

Step-by-step explanation:

3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?

18
54
126
108

Answers

Answer:

m∠SRW = [tex]126^{o}[/tex]

Step-by-step explanation:

Given: <VRW = 3x

          <TRS = (2x + 18)

What is m∠SRW?

<TRS = <VRW (vertically opposite angles)

2x + 18 = 3x

18 = 3x - 2x

x = 18

<VRW = 3x = 3 x 18 = [tex]54^{o}[/tex]

<TRS = (2x + 18) = 92 x 18 + 18)

           = [tex]54^{o}[/tex]

Also,

<TRV = <SRW (vertically opposite angles)

So that,

<TRU + <URV = <SRW

But,

<TRV + <SRW + <TRS + <VRW = [tex]360^{o}[/tex]

<TRV + <SRW +  [tex]54^{o}[/tex] +  [tex]54^{o}[/tex] = [tex]360^{o}[/tex]

<TRV + <SRW + [tex]108^{o}[/tex] = [tex]360^{o}[/tex]

<TRV + <SRW = [tex]360^{o}[/tex] -  [tex]108^{o}[/tex]

<TRV + <SRW = [tex]252^{o}[/tex]

2 <SRW = [tex]252^{o}[/tex]    (∵ <TRV = <SRW)

<SRW = [tex]\frac{252}{2}[/tex]

           = [tex]126^{o}[/tex]

Therefore,

m<SRW = [tex]126^{o}[/tex]

Answer:

short answer its 126 so C.

Step-by-step explanation:

THIS IS FOR FUTURE PPL ON EDGE 2022!! JUST HAD IT

there are 36 students in a PE class. 1/4 of the student can run 1 mile. how many students can run 1 mile?

Answers

Answer:

9

Step-by-step explanation:

U would have to divide 36 1/4 it would = 9

By talking to the sales clerk at the hardware store, you find out that the burglar has two hideouts — the lake house and the cabin. Given the coordinate plane below, calculate the distances between the store and each hideout. Which hideout is closest to the store?

Answers

Cabin is your answer

Which function will not have an
x-intercept?

a) y = -2X
b) y = x
c) x = 2
d) y = 5​

Answers

Answer:

(d)

because there is only y value, hence no point on x-axis therefore no x-intercept

Mei invests $1,924 in a retirement account with a fixed annual interest rate of 3% compounded continuously. What will the account balance be after 19 years?

Answers

Answer:

mei invests $1,924 in a retirement account with a fixed annual interest rate of 3% compounded continuously. what will the account balance be after 19 years?

PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B.

Step-by-step explanation:

The original equation is cos 64 = 32/k. To solve for k we need to isolate it. we can multiply by k then divide by cos 64. This gives us the equation k = 32/cos 64. Therefore, B is the right answer.

what is x if a line passes though (2,5) ( x,3)

Answers

Answer:

x = - 2

Step-by-step explanation:

Givens

(2,5)

(x,3)

m = 1/2

Formula

m = (y2 - y1)/(x2 - x1)

Solution

y2 = 3

y1 = 5

x2 = x

x1 = 2

1/2 = (3 - 5)/(x - 2)                 Cross multiply

1*(x - 2) = 2 (-2)                      Combine and remove the brackets.

x - 2 = - 4                               Add 2 to both sides

x = - 4 + 2

x = - 2


What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit

Answers

Answer:

[tex]\displaystyle m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph

Point (3, 0)

Point (4, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]\displaystyle m=\frac{2-0}{4-3}[/tex]Subtract:                              [tex]\displaystyle m=\frac{2}{1}[/tex]Divide:                                 [tex]\displaystyle m=2[/tex]

(i) − ( + )_________________________________
(ii) − − ___________________________________
(iii) − − ____________________________________
(iv) − ________________________________
(v) −5y

Answers

Answer:

-5y

Step-by-step explanation:

We are to simplify the expression

5x - 5(y+x)

Open the bracket by applying the distributive law;

5x-(5(y)+5(x))

5x - (5y+5x)

5x - 5y - 5x

Collect like terms to have:

5x - 5x - 5y

0-5y

= -5y

Hence the simplified form is -5y

When I multiply two variables, what operation do I use for the exponents to combine them?

Answers

Answer:

Multiplying exponents with the same base

When you multiply two variables or numbers that have the same base, you simply add the exponents.

Step-by-step explanation:

Someone help me with this question please! I'm having a hard time answering it!

Answers

Step-by-step explanation:

2 * 2 for potatoes = £4

3 * 3 for carrots = £9

90p * 3 for turnips = 270p = £2.70

total price = 9+4+2.70=15.70

change = 20 - 15.70 = £4.30

What is the answer to this equation: 40+40-20x0+3+125=

Answers

Answer:

208

Step-by-step explanation:

20 × 0 = 0

40 + 40 = 80

125 + 3 = 128

The given expression [tex]40+40-20\times 0+3+125[/tex] is reduced to 208 and this can be determined by using the arithmetic operations.

Given :

Expression - [tex]40+40-20\times 0+3+125[/tex]

The following steps can be used to evaluate the given expression:

Step 1 - Write down the expression.

[tex]=40+40-20\times 0+3+125[/tex]

Step 2 - First, multiply -20 by 0 in the given expression.

[tex]=40+40-0+3+125[/tex]

Step 3 - Now, Add 40 and 40 in the above expression.

= 80 + 3 + 125

Step 4 - Add 80 and 3 in the above expression.

= 83 + 125

Step 5 - Add 83 and 125 in the above expression.

= 208

For more information, refer to the link given below:

https://brainly.com/question/1957976

HELP ASAP PLEASE ‼️‼️‼️‼️‼️‼️‼️‼️‼️
If AABC = ADEC,
ZB = 40° and ZE = 2x + 4
A
B
С
x= [?]

Answers

Answer:

x=18

Step-by-step explanation:

‹B=‹E

40°=2x+4

40-4=2x

36=2x

x=18

6 times a number less 2

Answers

Answer:

6n-2

is this what you needed??,

Please hurry, I'll give brainly

Answers

Step-by-step explanation:

there should 90 value

the value of triangle is 90

Answer:

area = 8.03

Step-by-step explanation:

[tex]area= \frac{ab\sin\C}{2}[/tex]

I’ll give brainlist, but plsss help

Answers

Answer:

X= -8

Step-by-step explanation:

First you distribute the 5 to the parenthesis to get 5x-30+4=7x-10. Then subtract 14 on both sides to get 5x-16=7x. Next, subtract 5x from both sides to get -16=2x. Now you divide by 2 on both sides to get -8=x.

Answer: x = - 8

Step-by-step explanation:

The first step in applying the distributive property:

5 (x - 6) + 4 = 7x - 10

5x - 30 + 4 = 7x - 10

The second step is to combine like terms by subtracting 10 from -30, and subtracting 4 from - 20:

5x - 30 + 4 = 7x - 10

5x - 16 = 7x

The third step is to subtract 5x from 7x:

5x - 16 = 7x

- 16 = 2x

The last step is to divide each side by 2 to isolate the variable, or find x:

- 16/2 = 2x/2

- 8 = x

or x = - 8

I hope I helped and have a great day! ^-^

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