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Mama L [17]
3 years ago
7

If there are 3 boys for every 4 girls in the choir, how many boys are there if there are 42 students?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0
So if there are 3 boys to every 4 girls, and there are 42 boys, the answer would be 42 to 56????? I'm not quite sure, and it's probably wrong, but that's how we learned in my school.
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Solve the following equation for x. Give your answer in simplified form. *
Rufina [12.5K]

Answer:

x=(8-3y)÷4

Step-by-step explanation:

4x= 8-3y

x= 8-3y

___

4

7 0
3 years ago
What is the standard form polynomial representing the volume of this shipping container?
harina [27]

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

             = [(4x² + 3x)(x²- 8)](6x + 15)

             = [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

             = (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

             = (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

             = 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

             = 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

             = 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

8 0
2 years ago
Read 2 more answers
Consider a group of 1,000 newborn infants. One hundred (100) infants were born with serious birth defects, and 20 of these 100 d
kozerog [31]

Answer:

The prevalence of serious defects in this population at the time of birth is 10%.

Step-by-step explanation:

The prevalence of serious defects is the number of infants that were born with seriours birth defects divided by the total number of infants born.

In this problem, we have that:

There were 1000 newborn infants.

100 infants were born with serious birth defects.

Calculate the prevalence of serious defects in this population at the time of birth.

This is:

P = \frac{10}{100} = 0.1

The prevalence of serious defects in this population at the time of birth is 10%.

8 0
2 years ago
Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?
saveliy_v [14]

You can try them out and see which one works.

a: f(2) = f(1) +6 = 5+6 = 11 . . . . . . not this one

b: f(1) = f(2) -6 = -1-6 = -7 . . . . . . not this one (5 ≠ -7)

c: f(2) = f(1) - 6 = 5 - 6 = -1 . . . . . this gives the right f(2)

d: f(2 = -6(f(1) = -6(5) = -30 . . . . not this one

_____

The appropriate choice is ...

... f(n +1) = f(n) - 6

— — — — — 

You can also recognize that the next term is 6 less than the current one, so f(n+1) = f(n) - 6, which corresponds to the 3rd selection.

7 0
2 years ago
Read 2 more answers
An item is regularly priced at $50. It is on sale for 40% off the regular price. What is the sale price?
frez [133]

Answer:

30 dollars

Step-by-step explanation:

40% of 100 = 40. 40% of 50 = 20. 50-20 = 30.

8 0
2 years ago
Read 2 more answers
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