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3 years ago

14

a recipe requires 2/3 cup of sugar to make one cake what is the maximum number of cakes that can be made using 4 1/2 cups of sug

ar

1 answer:

labwork [276]3 years ago

6 0

Answer:

6

Step-by-step explanation:

2/3, 1 1/3, 2, 2 2/3, 3 1/3, 4

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Juan has a piano recital next month.last week he practiced for 8 hours in the morning and 7 hours in the afternoon. Each practic

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3 years ago

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Jason paid $24 for a 30 pound bag of dog food. What was the cost per pound of the dog food?

katen-ka-za [31]

Answer:

$0.80 per pound

Step-by-step explanation:

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3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

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3 years ago

A 5 pound bag of clay cost $2.65. At this rate how much would a 2 pound bag cost?

Nutka1998 [239]

2.65/5=.53(price per pound)
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3 years ago

(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

vesna_86 [32]

Answer:

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Step-by-step explanation:

40 divided by 5 will give you the $/lb

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2 years ago

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