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2 years ago

Help I need answers now

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

8 0

Answer:

<u>The Answer in Exact Form:</u>

-3/22

<u>In Decimal Form:</u>

-0.136

Step-by-step explanation:

- $\frac{3}{2}$ ÷5 $\frac{1}{2}$ =-3/22

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Write the equation in slope-intercept form of the line that passes through

mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{4}{3}\left(x-12\right)$

Add 9 to both sides

$y-9+9=\frac{4}{3}\left(x-12\right)+9$

$y=\frac{4}{3}x-16+9$

$y=\frac{4}{3}x-7$

Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

7 0

2 years ago

Mrs.Kennedy is buying pencils for each of 315 students at Hamilton Elementary. The pencils are sold in boxes of tens. How can sh

g100num [7]

Mrs Kennedy is buying pencils for 315 students.

The pencils are sold in boxes of 10.

Therefore the number of pencils she needs to buy should be a multiple of 10, so that she can buy boxes of 10 pencils each.

number of students are 315 but 315 is not a multiple of 10

so we have to round off 315 to the nearest ten, that's 320.

so then she has to buy 320 pencils

number of boxes she needs - 320 / 10 = 32 boxes of pencils

she only needs pencils for 315 students so she will have 5 extra pencils

she will have to buy 32 boxes

4 0

2 years ago

Read 2 more answers

Alexander was given a gift card for a coffee shop. Each morning, alexander uses the card to buy one cup of coffee. Each cup of c

german

Answer:

A = (cost per cup of coffee * number of cups) + balance

$15

Step-by-step explanation:

Given that :

Cost per cup of coffee = $1.50

Number of cups purchased = 4

Balance on card = $9

Let A = worth of gift card

A = (cost per cup of coffee * number of cups) + balance

A = (1.50 * 4) + 9

A = 6 + 9

A = $15

7 0

2 years ago

£3.50= %of£10 answer this question i raelly dont get it in any way

ziro4ka [17]

$\dfrac{\pounds 3.50}{\pounds10}\cdot100\%=\\
0.35\cdot100\%=\\
35\%$

3 0

3 years ago

Find the equation of the line. use exact numbers.

svp [43]

Answer:

y=4x -9

Step-by-step explanation:

y intercept- where the line crosses the y-axis (-9)

Rise over run- 4

6 0

2 years ago