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lara [203]
2 years ago
11

In the isosceles trapezoid shown, GJ = 5, HI = 9, and GI = 8.6. Determine the length of HJ.

Mathematics
1 answer:
Fofino [41]2 years ago
5 0

Answer

8.6

Step-by-step explanation:

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A recipe that makes 8 jumbo blueberry muffins calls for 1 3/4 teaspoons of baking powder. How much baking powder is needed to ma
Nitella [24]

Answer:

It takes 13\frac{1}{8} teaspoons of baking powder to make 5 dozen jumbo muffins.

Step-by-step explanation:

Two quantities a and b are directly proportional if when multiplying or dividing one of them by a number, the other is multiplied or divided by that number. That is, if one magnitude grows, the other will grow in the same proportion; while if one magnitude decreases, the other will decrease in the same proportion.

The simple rule of three allows us to establish the relationship of proportionality between two known values ​​and, based on the knowledge of a third quantity, to calculate the value of the fourth.

In other words, it is necessary to know two magnitudes that will be proportional to each other, and a third magnitude, from which you want to find out, will be a fourth term through the relationship:

a ⇒ b

c ⇒ x

Then: x=\frac{c*b}{a}

where a, b, and c are the known data, and x is the fourth unknown.

In this case, the rule of three can be applied as follows: if 1 dozen contains 12 muffins, 5 dozen jumbo muffins, how many muffins does it contain?

amount of jumbo muffins=\frac{5 dozen*12 jumbo muffins}{1 dozen}

amount of jumbo muffins= 60

Now you apply the following rule of three: if 8 jumbo blueberry muffins requires 1 3/4 ( or, which is the same, 7/4)teaspoons of baking powder, 60 jumbo muffins how many teaspoons of baking powder does it require?

teaspoons of baking powder=\frac{60*\frac{7}{4} }{8}

teaspoons of baking powder= \frac{105}{8} = 13\frac{1}{8}

<u><em>It takes </em></u>13\frac{1}{8}<u><em> teaspoons of baking powder to make 5 dozen jumbo muffins.</em></u>

5 0
3 years ago
I forgot how to do this please help!!!
pogonyaev
Set up a proportion.

x 5
- = -
5.6 4

4x = 5(5.6)
4x = 28
4x 28
- = -
4 4
x = 7.

Did that help?
7 0
2 years ago
Explain the meaning of the table and write the constant of proportionality in an equation. Susan is going to the library from ho
aleksley [76]

Answer:

it depends on how long it takes her to get there

7 0
2 years ago
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How to solve 2a x a x a x3a + b +4b
kodGreya [7K]

Answer:

6 {a}^{4}  + 5b

Step-by-step explanation:

2a \times  a\times a \times 3 a+ b + 4b \\ 2a \times a = 2 {a}^{2}  \\ 2 {a}^{2}  \times a = 2 {a}^{3}  \\ 2 {a}^{3}  \times 3a = 6 {a}^{4}  \\b +  4b = 5b

Therefore the answer is

6 {a}^{4}  + 5b

3 0
2 years ago
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6. (6.1H)
miv72 [106K]

Answer:

52 is correct answer ✔️

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