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viktelen [127]
3 years ago
14

Solve using a proportion.

Mathematics
1 answer:
Advocard [28]3 years ago
5 0

Answer:

t = 24 yards

Step-by-step explanation:

Since the trapezoids are similar then the ratios of corresponding sides are equal, that is

\frac{t}{c} = \frac{u}{d}

Substitute in given values

\frac{t}{0.4} = \frac{15}{0.25} ( cross- multiply )

0.25t = 6 ( divide both sides by 0.25 )

t = 24

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How many different committees can be formed from 6 teachers and 37 students if the committee consists of 4 teachers and 4 ​stude
Anna [14]

Answer:

The committee of 8 members can be selected in 990,675 different ways.

Step-by-step explanation:

The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

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:

4 teachers from a set of 6.

4 students from a set of 37.

Then

T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675

The committee of 8 members can be selected in 990,675 different ways.

4 0
2 years ago
A(x-b)+bx-c=a+b, when a DOES NOT = -b ; FIND X PLEASE!!! WILL GIVE BRAINLIEST!!
tangare [24]

9514 1404 393

Answer:

  x = (ab +a +b +c)/(a +b)

Step-by-step explanation:

Eliminate parentheses, subtract left terms not containing x, divide by the coefficient of x.

  a(x-b)+bx-c=a+b\\\\ax+bx-ab-c=a+b\\\\x(a+b)=ab+a+b+c\\\\\boxed{x=\dfrac{ab+a+b+c}{a+b}}

6 0
2 years ago
If a recipe requires 400 grams of potatoes for four people, how many kilograms would be required for 12 people?
STALIN [3.7K]

Answer:

it is 1200

Step-by-step explanation

its direct proportions

so 4 x 3 = 12

400 x 3 = 1200

3 0
3 years ago
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aivan3 [116]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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2 times the square root of 27 minus the square root of 48
lyudmila [28]
2 \sqrt{27}- \sqrt{48}=2 \sqrt{9*3}- \sqrt{16*3} =2*3 \sqrt{3}- 4 \sqrt{3}=6 \sqrt{3}-4 \sqrt{3} = \\ =2 \sqrt{3}
5 0
3 years ago
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