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kolezko [41]
3 years ago
9

Which is the perimeter of the triangle below?13/24 foot22/24 foot28/24 foot​

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

c.  22/24

Step-by-step explanation:

perimeter = 3/8 + 3/8 + 1/6

perimeter = 22/24 or 11/12

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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
3 years ago
Question in the middle please
oksian1 [2.3K]
So it wants you to write two equations, one for the number of fruit and another for the money spent. gather your important information first:

20 fruits for $11.50
apples cost $0.50
bananas cost $0.75

let's do the cost equation first. it's $0.50 per apple, so 0.50a, and $0.75 per banana, so 0.75b. the total cost is $11.50. put all of this information together:

0.50a + 0.75b = 11.50  ... so, the cost of apples bought plus the cost of bananas bought equals 11.50

note what your variables stand for. a represents the number of apples, b represents the number of bananas. to write an equation for how many fruits bought, you simply have to add these two and set them equal to 20 (the total number of fruits bought).

a + b = 20
and your other equation
0.50a + 0.75b = 11.50

these are your two equations. to solve the system of equations, you first want to get one variable alone; the first equation will be easier.

a + b = 20
a = 20 - b

now take this equation and plug it into the second equation.
0.50(20 - b) + 0.75b = 11.50 ... you'll notice that you only have one variable left: b. solve for it. the first step is to distribute 0.50 to the parentheses
10 - 0.50b + 0.75b = 11.50 ... combine like terms
10 + 0.25b = 11.50 ... subtract 10
0.25b = 1.5 ... divide by 0.25
b = 6

6 bananas were purchased. plug this back into an equation to find out how many apples were purchased.

a + 6 = 20 ... subtract 6
a = 14

14 apples and 6 bananas were bought.
3 0
3 years ago
Which of the following does NOT represent the function f(x) = 2x + 3?
m_a_m_a [10]

Answer:

The answer is C

Step-by-step explanation:

All of the other answers have the same domain and range for the function.

5 0
3 years ago
5. A deck should have a perimeter of 90 feet and a minimum area
Ket [755]

Answer:

The minimum value of the width is 15 ft and the maximum value of the width is 30 ft

Step-by-step explanation:

Let

x -----> the length of the deck

y ----> the width of the deck

we know that

The perimeter of the deck is equal to

P=2(x+y)

P=90\ ft

so

90=2(x+y)

45=(x+y)

x=45-y -----> equation A

The area is equal to

xy\geq 450 -----> inequality B  

(45-y)y\geq 450\\ \\-y^{2} +45y-450\geq 0

Solve the quadratic equation by graphing

The possible width of the deck are the values of y in the interval

[15,30]

All real numbers greater than or equal to 15 ft and less than or equal to 30 ft

see the attached figure

The minimum value of the width is 15 ft and the maximum value of the width is 30 ft

7 0
3 years ago
To make a homemade all purpose cleaner, you can use the ingredients shown in the table (1 cup vinegar, ½ cup of rubbing alcohol,
vovikov84 [41]

The total solution will include 17.5 cup of vinegar 0.5 cups of rubbing alcohol, and 2 cup of water which is a total of 35 cups of solution. Sofie will need 6 total containers to hold all of the solution.

<h3>Number of container</h3>

1 cup of rubbing alcohol:

1 cup of rubbing alcohol=1÷1/2

1 cup of rubbing alcohol=2

Cup of alcohol needed:

Cup of alcohol needed=1+1/2+16

Cup of alcohol needed=17.5 cups

Total cups:

Total cups=17.5×2

Total cups=35 cups

Number of container:

Number of container=1+35/5

Number of container=1+5

Number of container=6  containers

Therefore the total solution will include 17.5 cup of vinegar 0.5 cups of rubbing alcohol, and 2 cup of water which is a total of 35 cups of solution. Sofie will need 6 total containers to hold all of the solution.

Learn more about Number of container here:brainly.com/question/20533888

#SPJ1

5 0
1 year ago
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