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In-s [12.5K]
3 years ago
13

Kevin has 3 bags of apples weighing a total of 22 1/2 pounds. Two of the bags weigh 6 3/8 pounds and 3 1/4 pounds. How much does

the third bag weigh?
A 11 7/8
B 12 4/8
C 12 7/8
D 13 5/8
Mathematics
2 answers:
xenn [34]3 years ago
8 0
All bags: 22 1/2 pounds
First bag: 6 3/8 pounds
Second bag: 3 1/4 pounds
Third bag: ???

First of all we need to find the common denominator for all the fractions.

22 1/2 = 22 4/8
3 1/4 = 3 2/8

Now we add both known bags and them substract the result from overall the weight:

6 3/8 + 3 2/8 = 9 5/8
22 4/8 - 9 5/8 = 12 7/8

So the answer is C.
Elena-2011 [213]3 years ago
6 0

Answer: C -12 7/8

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Total weight: 22 1/2 pounds </em>
  • <em>Bag 1 = 6 3/8 pounds </em>
  • <em>Bag 3 = 3 1/4 pounds </em>

First, we have to sum the weights of bag 1 and 2:

6 3/8 + 3 1/4=

6 3/8 + 3 2/8 = 9 5/8

Finally we subtract the number calculated to the total weight.

22 1/2 - 9 5/8=

22 4/8 -9 5/8=

21 (8/8 +4/8) - 9 5/8 =

21 12/8 - 9 5/8=

12 7/8

3rd bag weight: 12 7/8 pounds

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There are 453.5 grams in 1 pound


I hope that's help and have a great night !

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3 years ago
What is the area of the composite figure
lara [203]

Answer:

Area of composite figure = 216 cm²

Hence, option A is correct.

Step-by-step explanation:

The composite figure consists of two figures.

1) Rectangle

2) Right-angled Triangle

We need to determine the area of the composite figure, so we need to find the area of an individual figure.

Determining the area of the rectangle:

Given

Length l = 14 cm

Width w = 12 cm

Using the formula to determine the area of the rectangle:

A = wl

substituting  l = 14 and w = 12

A = (12)(14)

A = 168 cm²

Determining the area of the right-triangle:

Given

Base b = 8 cm

Height h = 12 cm

Using the formula to determine the area of the right-triangle:

A = 1/2 × b × h

A = 1/2 × 8 × 12

A = 4 × 12

A = 48 cm²

Thus, the area of the figure is:

Area of composite figure = Rectangle Area +  Right-triangle Area

                                            = 168 cm² +  48 cm²

                                            = 216 cm²

Therefore,

Area of composite figure = 216 cm²

Hence, option A is correct.

4 0
3 years ago
Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
Vadim26 [7]

Answer:

1) 2 lbs

2) 0.17 lbs

3) 9.5 lbs

Step-by-step explanation:

Amount of sugar Ella has = 0.5 lbs

Let the amount of water she adds to make the solution = x lbs

So total amount of the mixture would be = (x + 0.5) lbs

Case 1: 20% syrup

20% syrup means the sugar percentage in the mixture should be 20% of the entire mixture. So, 0.5 should be 20% of (x + 0.5). In equation form this can be written as:

0.5 = 20% of (x + 0.5)

0.5 = 0.2(x + 0.5)

Dividing both sides by 0.2, we get:

2.5 = x + 0.5

x = 2 lbs

This means, 2 lbs of water should be added to make 20% syrup solution. So, total syrup she would have will be 2.5 lbs.

Case 2: 75% syrup

75% syrup means the sugar percentage in the mixture should be 75% of the entire mixture. So, 0.5 should be 75% of (x + 0.5). In equation form this can be written as:

0.5 = 75% of (x + 0.5)

0.5 = 0.75(x + 0.5)

Dividing both sides by 0.75, we get:

0.67 = x + 0.5

x = 0.17 lbs

This means, 0.17 lbs of water should be added to make 75% syrup solution. So, total syrup she would have will be 0.67 lbs.

Case 3: 5% syrup

5% syrup means the sugar percentage in the mixture should be 5% of the entire mixture. So, 0.5 should be 5% of (x + 0.5). In equation form this can be written as:

0.5 = 5% of (x + 0.5)

0.5 = 0.05(x + 0.5)

Dividing both sides by 0.05, we get:

10 = x + 0.5

x = 9.5 lbs

This means, 9.5 lbs of water should be added to make 5% syrup solution. So, total syrup she would have will be 10 lbs.

3 0
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Answer:

The ratio of 25/35 is

Step-by-step explanation:

25/35

=5/7 (both cut by 5)

So, your answer is 5:7

8 0
3 years ago
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