Leah hangs 6 posters in a row, each 14 inches wide, on a bedroom wall. There are 4 inches between each poster. For the posters at each end, there are 3 inches between each poster and the end of the wall. What is an appropriate strategy for Leah to use to find the width of the wall?

Answer:

x = 86

y = 67

z = 94

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

38 + 56 + x = 180

94 + x = 180 subtract 94 from both sides

x = 86

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:

56 + 38 = 94

again the sum of interior angles in a triangle is equal to 180:

19 + z + y = 180 we found z as 94

19 + 94 + y = 180

113 + y = 180 subtract 113 from both sides

y = 67

The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.

The function g(x) is given as:

g(x) = -2x - 5

A linear equation is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept.

So, the slope of the function g(x) is -2 and the y-intercept is -5

For the function f(x), the slope is calculated using:

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

Using the points on the graph, we have:

m =(3 - 1)/(1 - 0)

Evaluate

m = 2

The line of the function f(x) cross the y-axis at (0,3);

So, its y-intercept is 3

Hence, both functions have different slopes and different y-intercepts

Read more about linear functions at:

https://brainly.com/question/14323743

Answer:

7√ 121

Step-by-step explanation:

Answer:

it is continues

Step-by-step explanation:

it is continues

Answer:

y = -0.1x^2

Step-by-step explanation:

Start out with vertex form

y = a(x - h)^2 + k

The vertex at the origin

Therefor (h, k) = (0, 0)

y = ax^2

use point (20, -40) to find a

-40 = a(20^2)

-40 = a(400)

Divide both sides by

400

-0.1 = a

Therefor

y = -0.1x^2

This is standard form with a = -.01 and both b and c equal to zero

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

4/8×4/8

16/64

Step-by-step explanation:

42 people per minute

how many minutes for 15000 people ?

well, how often does 42 fit into 15000 ?

15000/42 = 357.1428571... minutes

and since we want to bring in everyone of the 15000, we have to count the fraction of the last minute as minute.

so, we have 358 minutes.

and that is in hours, as 1 hour = 60 minutes

358/60 = 5.9... hours

so, the rounded answer is 6 hours.

Step-by-step explanation:

Let's rewrite the original equation as

[tex]y - 2 = 2x + 6 \Rightarrow y = 2x + 8[/tex]

or in standard form, our equation becomes

[tex]2x - y = -8[/tex]

where A = 2, B = -1 and C = -8

Answer:

A is the equavelent expression

Option B

Answer: (a.) -19  (b.) 78

Step-by-step explanation:

(a.) -33+14= -19       (b.) 75 - x = 78

(b.) 75 to zero = 75     Zero to -3

is 3 points behind zero, this make more distance from 75 so…

(b.) 75+3 = 78

Answer:

Step-by-step explanation:

HI there!

From the question;

Principal (p) = 300

Annual rate (r) = 3%

Time (t) = 4 yrs

Now;

Interest (I) = [tex]\frac{p*t*r}{100}[/tex]

             I = [tex]\frac{300*4*3}{100}[/tex]

             I = [tex]\frac{3600}{100}[/tex]

Therefore the interest earned is 36.

Again;

New balance (A) = principal + interest

                            = 300+36

Therefore, the new balance is 336.

Hope it helps!

Answer:

2924

Step-by-step explanation:

2752 ÷ 16 = 172 ← number of points per coin

After collecting 17 points he will have collected

2752 + 172 = 2924 points in total

Answer:

2924

Step-by-step explanation:

Step-by-step explanation:

Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3

Answer:

nnkbnlkn lk kgkbnlnbkvnbklcnlkbnblknbklv.

Step-by-step explanation:

Answer:

f:x=1

Step-by-step explanation:

6x-1=5

6x/6=6/6

f:x=1

Answer:

(3a4 + 4)2

= (12a+4)2

= 24a+8

Answer:

29in

pls give brainliest tq

have a great day

The preparation of Reading Readiness, Inc.'s multi-step Income Statement for the month ended January 31 is as follows:

Reading Readiness, Inc.

Income Statement

For the month ended January 31

Sales Revenue              $175,500

Less:

Sales Returns                      4,700

Sales Discounts                  6,000

Net Sales                     $164,800

Cost of Goods Sold         67,700

Gross profit                    $97,100

Expenses:

Salaries and Wages     $25,900

Depreciation Expense    13,800

Rent Expense                24,000

Operating expenses   $63,700

Operating income     $33,400

Interest Expense              1,600

Income before tax     $31,800

Income tax expense       7,700

Net income                 $24,100

Data and Calculation:

Gross profit percentage = 59% ($97,100/$164,800 x 100)

Thus, the net income after deducting the income tax expense is $24,100.

Learn more: https://brainly.com/question/24257787

Answer:

63/5

Step-by-step explanation:

The reciprocal of a fraction is basically just the flipped fraction. In this case, you would just flip the numerator with the denominator, giving you 63/5.

Answer: 80 minutes

Step-by-step explanation:in the picture

Answer:

20

Step-by-step explanation:

10 x 1 = 10. 10 x 2 = 20.

Answer:

20

Step-by-step explanation:

10 x 1 = 10

Then, 10 x 2 = 20

9514 1404 393

Answer:

  55 -2t cars

Step-by-step explanation:

The amount raised is the difference between the revenue and expenses. If c cars and t trucks are washed for a profit of $460 after expenses of $90, the equation can be written ...

  460 = 10c +20t -90 . . . profit equation

  550 = 10c +20t . . . . . . . add 90

  550 -20t = 10c . . . . . . . subtract 20t

  c = 55 -2t . . . . . . . . . . . divide by 10

They have to wash 55-2t cars if they washed t trucks.

Answer:

99

Step-by-step explanation:

Its negation is greater than -100. Hope this helps!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

99

Step-by-step explanation:

Answer:

-$500

Step-by-step explanation:

C = 3(1000) + 6500

C = 3000 + 6500

C = 9500

R = 9(1000)

R = 9000

P = 9000 - 9500

P = -500

Answer:

(137.75 - 15.25)/24.5=x

122.5/24/5=x

5=x

x= number of friends who can go to the amusement park

Step-by-step explanation:

137.75 is the total amount of money.

First, we need to subtract 15.25 because this money is going to be spent on parking.

Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.

Hope this helped!

By solving a linear equation we will see that 5 people can go to the amusement park.

We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:

$137.75 - $15.25 = $122.50

Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:

y = $122.50 - $24.50*x

To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).

$0 = $122.50 - $24.50*x

$24.50*x = $122.50

x = $122.50/$24.50 = 5

So with that amount of money, 5 people can go to the amusement park.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

Answer:

y = -5x

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

5x+y = 0

Subtract 5x from each side

5x+y-5x= 0-5x

y = -5x

-2/3

slope can also be classified as m in y=mx+b

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]-\frac{2}{3}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

I am assuming that the equation is: [tex]y = -\frac{2}{3}x-5[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{General Slope-Intercept Form:}}\\\\y = mx+ b\\\rule{150}{0.5}\\\text{m - Slope}\\\text{b - Y-Intercept}\\\rule{150}{0.5}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

It has length, but not width and depth

Answer:

2/3 to 1/4, two thirds cup to a quarter cup

Step-by-step explanation:

Answer:

Step-by-step explanation:

let b be boat velocity

let c be current velocity

(b - c)4 = 192

(b + c)3 = 192

(b - c)4 = (b + c)3

4b - 4c = 3b + 3c

        b = 7c

(7c - c)4 = 192

    (6c)4 = 192

      24c = 192

          c = 8 km/hr

b = 7(8) = 56 km/hr