Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.(1 gallon = 231 in3, 1 inch = 2.54 cm)

Which of the following scenarios will happen?
a. The paint will not fill the tray by 369 cm3.
b. The paint will not fill the tray by 5.22 in3.
c. The paint will fill the tray exactly.
d. The paint will overfill the tray by 5.22 in3

Answers

Answer 1

Answer: If Alaine has 1 gallon of paint, and she pours it into a paint tray that measures 10"w, 12"L, and 3cm deep, the paint tray will not fill the tray by 5.22 in3.

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Find the solution set for the system of equations.
9x + 5y = 28
5x + 9y = 56

Answers

9x + 5y = 28 . . . . . (1)
5x + 9y = 56 . . . . . (2)

(1) x 5 => 45x + 25y = 140 . . . . . (3)
(2) x 9 => 45x + 81y = 504 . . . . . (4)

(3) - (4) => --56y = -364 => y = 6.5

From (1), 9x + 5(6.5) = 28 => 9x = 28 - 32.5 = -4.5 => x = -4.5/9 = -0.5

Answer:

-1/2,13/2

Step-by-step explanation:

Plato

A recipe calls for 2/3 of a cup of milk for 11 cookies. How many cups of milk are needed to make 99 cookies?

Answers

Answer:

6 cup of milk

Step-by-step explanation:

From question

for 11 cookies → $(2)/(3)$ of a cup of milk required

Now,

for 99 cookies

we multiply both sides by 9.

11 × 9 = $(2)/(3)$ × 9

for 99 cookies = 6 cup of milk

The distance from Earth to the Moon is approximately 240,000 mi.. The speed of light is 3.00 * 10^8 m/s. How long does it take for light to travel from Earth to the Moon and back again?. Please Show work.

Answers

First we have to convert miles to meters:
1 mile ≈ 1,609.34 m
Time of traveling one way:
$t = (240,000 * 1,609.34m)/(3.00*10^(8)m/s ) = \n = (8*10 ^(4) *1,609.34s)/(10 ^(8) ) = (8*1,609.34 s)/(10,000)$ = 1.28 s
From Earth to the Moon and back time is: 2 · 1.28 s = 2.56 s

What is the value of x?

Answers

Answer:

x=30

Step-by-step explanation:

Find the slope between the two points: (3,-2) and (4,7)

Answers

The slope between the two points (3,-2) and (4,7) is 9.

What is slope of a line?

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.

To find slope given two(x1, y1) and(x2, y2) points, we use the formula

$m=(y_2-y_1)/(x_2-x_1)$

Given coordinates are:(3,-2) and (4,7)

x1= 3, x2= 4 , y1= -2 and y2= 7

Using Formula,

$m=(7-(-2)))/((4-3))$

= 9 /1

= 9

So, the slope between two points is 9.

Learn more about slope here:

brainly.com/question/2491620

#SPJ2

To find slope given two points, there is a formula you can use: (y2-y1)/(x2-x1). Y2 stands for the second y coordinate and y1 stands for the first y coordinate. The same logic applies to the x's. Let's assume that (3, -2) is x1, y1 and (4,7) is x2, y2. Let's plug them into the formula.

(7-(-2))/(4-3).
7-(-2)=9 for total y value.

4-3=1 for the x value.

Now we divide them.
9/1=9. 9=m. M is the variable commonly used for slope. Hope this helped!

An article was sold for rs 5500 with a profit of 10 % what is its cost price ?

Answers

Answer:

Given : Selling price of an article = Rs 5500. Profit = 10% Find the cost price of an article :- C.P = (S.P × 100)/(100 + Profit)

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