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Alexxandr [17]
3 years ago
14

A certain scholarship committee awarded scholarships in the amounts of $1,250, $2,500, and $4,000. The committee awarded twice a

s many $2,500 scholarships as $4,000 scholarships, and it awarded three times as many $1,250 scholarships as $2,500 scholarships. If a total of $37,500 was awarded in $1,250 scholarships, how many $4,000 scholarships were awarded?
Mathematics
1 answer:
borishaifa [10]3 years ago
7 0

Answer:

$9375 should be the correct answer

hope this helps!

Step-by-step explanation:

$37,500 devided by $4,000=9.375  decimal is optional.

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Penny and her two friends each ate 1/6 of cake . how much cake did they eat
Hoochie [10]
They ate 1/3 of the cake
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3 years ago
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Pierre wants to make tables and chairs. He has a total of 220 wooden boards and 760 nails. 13T+8C≤220 represents the number of t
Alisiya [41]

Answer:

Pierre has enough boards and nails to make 9 tables and 5 chairs.

Step-by-step explanation:

13T+8C ≤ 220

Let us substitute 9 for T and 5 for C and check.

13(9) + 8(5) = 117 + 40

= 157 < 220

So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.

48T+37C ≤ 760

Substitute 9 for T and 5 for C.

48(9)+37(5) = 432 + 185

= 617 < 760

So, 760 nails are sufficient to make 9 tables and 5 chairs.

Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.

3 0
2 years ago
Factor completely <br> 4x^2 + 24x - 64
lara31 [8.8K]
First see you can factor out 4. What is left is x^2 + 6x - 16.
That can be factored as (x+8)(x-2) so the total factorization is

4(x+8)(x-2)
7 0
3 years ago
If the probability of rain today is 15%, what is the probability that it will not
EleoNora [17]

The probability that will not rain today is: 85%

100% - 15% = 85%

The correct answer is A

6 0
2 years ago
Seeds are often treated with fungicides to protect them in poor-draining, wet environments. A small-scale trial, involving six t
alukav5142 [94]

Answer:

0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

6 + 6 = 12 seeds, which means that N = 12

6 treated, which means that k = 6

Five sprouted, which means that n = 5

What is the probability that all five plants emerged from treated seeds?

This is P(X = 5). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076

0.0076 = 0.76% probability that all five plants emerged from treated seeds

3 0
3 years ago
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