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Studentka2010 [4]
3 years ago
7

Ava is buying paint from Amazon. Ava

Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

2.625 cups or 21 ounces

Step-by-step explanation:

Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.

She has 28 ounces of white paint. But, you have to convert ounces to cups.

1 cup = 8 ounces

28 ounces ÷ 8 ounces/cup = 3.5 cups

Now set up a ratio.

\frac{0.75}{1} = \frac{x}{3.5}

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)

Cross multiply and divide.

\frac{0.75}{1} = \frac{x}{3.5}

x = 0.75 × 3.5

x = 2.625 cups

To convert to ounces, multiply by 8.

2.625 cups × 8 ounces = 21 ounces

Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.

Hope that helps.

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Haley is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $29 for the mea
Svetllana [295]

First restaurant price: 29 + 6l = x

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Second restaurant price: 41 + 3l = x

We want them to be the same price, so: 29 + 6l = 41 + 3l

Subtract 3l from each side

29 + 3l = 41

Subtract 29 from both sides

3l = 12

Divide both sides by 3

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So, if she buys 4 kilograms of lobster from either place, it will cost the same.

It would cost $53.

8 0
4 years ago
Can someone help me Please!
enyata [817]

Answer:

1.6

Step-by-step explanation:

Lets count how many points are x and y away from each other since we dont have a graph.

X and Y points:

35-15=20

56-24=32

Use the formula:

\frac{rise}{run}

32/20 = 1.6

6 0
3 years ago
ILL GIVE BRAINLIEST PLZZ I NEED THIS
wel

Answer:

Q1

by \ pythagoras \ theorem : \\(3x +1 )^2 = (3x - 1)^2 +x^2\\\\9x^2 + 6x +1 = 9x^2 + 1 -6x +x^2\\\\9x^2 + 6x +1 = 10x^2 + 1 -6x \\\\ 10x^2 + 1 -6x - 9x^2 -6x -1 = 0 \\\\x^2 -12x = 0\\x(x - 12) = 0\\x = 0, 12\\since \ length \ cannot \be \ 0, x = 12\\OJ = 3x + 1 = 3(12) +1 = 37

Q2

by \  pythagoras  \ thm, \\(7x -12) ^2 = (5x +10)^2 +(2x)^2\\\\49x^ 2 +144 - 168x = 25x^2 +100+ 100x +2x^2\\\\49x^ 2 +144 - 168x - 25x^2 -100- 100x -2x^2 = 0\\\\22x^2 -268x -44 = 0\\11x^2 - 134x - 22 = 0\\x=12.0154

3 0
3 years ago
Pros and cons of tritan copolyester
OlgaM077 [116]

Answer:

pro: its heat resistant

con: its expensive

7 0
3 years ago
The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangl
Travka [436]
----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5                // Length is 5ft longer than twice the width

----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
58 = 2 (3x + 5)                // Combine like terms
58 = 6x + 10                    // Apply distributive property
48 = 6x                            // Take away 10 from both sides
6x = 48                            // Switch sides. Make x the subject
x = 8                                // Divide by 6 on both sides

----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft

--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

3 0
3 years ago
Read 2 more answers
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