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riadik2000 [5.3K]
3 years ago
7

in Joell's math class there are 8 girls and 17 boys. Based on this ratio how many students would be boys in the total school of

100 students?
Mathematics
2 answers:
Akimi4 [234]3 years ago
8 0
Ok so ratios are poroportion

boys/total=boys/100
total=17+8=25
boys=17
17/25=boys/100
multiply both sides by 100
68=boys


68 boys
yan [13]3 years ago
4 0
So the total number of students equals 8+17 = 25 students
Proportionally:
\frac{17}{25} =  \frac{x}{100}

Thus,
x =  \frac{17*100}{25} = 68 boys out of the 100 students.
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Answer:

x=19

Step-by-step explanation:

9*(9+15)=8*(8+x)

9*(24)=8(x+8)

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216-64=8x+64-64

152=8x

152/8=8x/8

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2 years ago
Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined
Scorpion4ik [409]

Note: I am assuming you mean ''on what domain is f+g is defined''.

Answer:

We conclude that

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Step-by-step explanation:

Given the domain of f

[-3, 5]

Given the domain of g

[-2, 7]

  • The domain of a composition f+g would include the intersection of both domains.

In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.

so

Domain of f = [-3, 5]

The x-values lie in the domain of f interval are:

x = -3, -2, 1, 0, 1, 2, 3, 4, 5

Domain of g = [-2, 7]

The x-values lie in the domain of g interval are:

x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7

Therefore, the common x-values in both f and g would be:

-2, 1, 0, 1, 2, 3, 4, 5

Thus, we conclude that

  • Dom(f+g) = [-2, 5]
3 0
3 years ago
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svetlana [45]

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Step-by-step explanation:

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6 0
3 years ago
Write the expression<br> a2b3c2d in expanded<br> form.
Zanzabum

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8 0
3 years ago
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water 3/4 quart of grape juice. Q1: How much sparkling wa
kogti [31]

Answer:

1) 18 Quart of Sparkling water need to mix with 9 quart grape juice

2) 15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3) Quantity of grape juice  and  sparkling water in 100 quart of punch are 33 1/3 quart  and 66 2/3 quart respectively.

Step-by-step explanation:

1 1/2 quarts = 1 + (1/2) = 3/2 quarts

1)  water required for 3/4 quart of grape juice =  3/2 quarts

so water required for 1 quart of grape juice = (3/2) ÷ (3/4) = (3/2)× (4/3) = 2 quarts

so water required for 9 quart of grape juice = 9 * 2 = 18 quart

18 Quart of Sparkling water need to mix with 9 quart grape juice

2) From solution of 1 ,

   For 18 quart of Sparkling water , grape juice require = 9 quart

   So for 1 quart of Sparkling water , grape juice require = 9÷18 = 1/2 Quart

   so for 15/4 quart of Sparkling water ,  grape juice require = 1/2 × 15/4 =

15/2  Quart of grape juice required for 15/4 quarts of sparkling water.

3)

in 1 we calculated that 18 Quart of Sparkling water need to mix with 9 quart grape juice that is 2 quart of Sparkling water need to mix with 1 quart of grape juice.

In other words 1 quart of grape juice + 2 quart of sparkling water is 3 quart of punch.

Quantity of Grape juice in 3 quart of punch = 1 quart

so quantity of grape juice in 1 quart of punch = 1/3 quart

And quantity of grape juice in 100 quart of punch = 100×(1/3) = 100/3 =

33 1/3

Quantity of sparkling water in 3 quart of punch = 2 quart

so quantity of sparkling water  in 1 quart of punch = 2/3 quart

And quantity of sparkling water  in 100 quart of punch = 100 ×2/3 quart = 66 2/3


 


     


3 0
3 years ago
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