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elena55 [62]
3 years ago
12

Find the missing measurement for each figure.

Mathematics
1 answer:
vodomira [7]3 years ago
6 0

Area = 1/2 x base x height

Base = area x 2 / height

Base = 6 1/4 x 2 = 12 1/2 / 3 1/3

Base = 3 3/4 m

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Sum of two number is 120. If the larger number is four times the smaller number, wbat are the two numbers
tankabanditka [31]

x+y=120_______1

x=4*y_________2

x=4y

substitute 4y for x in equation 1

`4y+y=120

5y=120

eliminate the coefficient of y

y=120/5

y=24

now,input 24 for y in equation 2

`x=4y

x=4*24

x=96

thus, the numbers are

96 and 24

3 0
3 years ago
Adante begins to evaluate the expression 3 1/3 * 5 1/4
goldenfox [79]

For this case we must find the product of two mixed numbers:

3 \frac {1} {3} = 3 + \frac {1} {3} = \frac {9 + 1} {3} = \frac {10} {3}\\5 \frac {1} {4} = 5 + \frac {1} {4} = \frac {20 + 1} {4} = \frac {21} {4}

So, we have:

\frac {10} {3} * \frac {21} {4} = \frac {10 * 21} {3 * 4} = \frac {210} {12} = \frac {105} {6} = \frac {35} {2}

If we go to a mixed number we have:

\frac {35} {2} = 17 \frac {1} {2}

Answer:

17 \frac {1} {2}

4 0
3 years ago
2.8 = 2y<br> What does y equal?<br> 1.4<br> 0.5<br> 2.8<br> 0.6
igor_vitrenko [27]

Answer: 1.4

Step-by-step explanation: First, swap the sides of the equation so that the one with the variable can be in front.

So, its 2y=2.8

To solve this, you simply divide both sides of the equation by 2.

2 divided by 2 is 0. That leaves you with the y by itself. Then, 2.8 divided by 2 is 1.4

So, y=1.4

7 0
3 years ago
Read 2 more answers
Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 5 oz of chips and drank 1 cup of soda for a
MaRussiya [10]

Answer:

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of mg of sodium in 1 oz of chips.

y is the number of mg of sodium in a cup of soda.

Bryan ate 5 oz of chips and drank 1 cup of soda for a total of 650 mg of sodium.

This means that:

5x + y = 650

Jadyn ate 1 oz of chips and drank 5 cups of soda for a total of 250 mg of sodium.

This means that:

x + 5y = 250

From the first equation:

y = 650 - 5x

Replacing in the second

x + 5(650 - 5x) = 250

x + 3250 - 25x = 250

25x = 3000

x = \frac{3000}{25}

x = 120

y = 650 - 5x = 650 - 5*120 = 650 - 600 = 50

1 oz of chips has 120mg of sodium, while in 1 cup of soda there are 50mg of sodium.

5 0
3 years ago
Simplify the expression 2j+4j+j+7
Alina [70]

Answer:

7j+7

Step-by-step explanation:

2j+4j+j+7

combine like terms

7j+7

Sorry I don't really know how to explain it, but you just have to combine terms with the same unit

3 0
3 years ago
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