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Mariana [72]
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​
Mathematics
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
valentina_108 [34]
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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:

I hope this helps <3

5 0
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

6 0
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)
.53*2lbs=1.06
a 2 lb bag will cost $1.06
3 0
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:

8 dollars per pound

Step-by-step explanation:

40 divided by 5 will give you the $/lb

40/5=8 so its $8/lb

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2 years ago
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