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Oksana_A [137]
3 years ago
11

What is the solution to the linear equation? 2/5+p=4/5+3/5pp=1p=2p=8p=10​

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

p = 1

Step-by-step explanation:

Multiply both sides of the equation by 5

2 + 5p = 3 + 3p

reraange for p

p = 1

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Three times as many children as adults attended a concert on Saturday. An adult ticket cost $7 and a child’s ticket cost $3. The
Ierofanga [76]

For this case we propose a system of equations:

x: Let the variable representing the number of children in the concert

y: Let the variable representing the number of adults at the concert

According to the assistance we have:

x = 3y

According to the cost we have:

3x + 7y = 6000

Substituting the first in the second equation we have:

3 (3y) + 7y = 6000\\9y + 7y = 6000\\16y = 6000\\y = \frac {6000} {16}\\y = 375

Thus, the concert was 375 adults.

On the other hand we have:

x = 3 (375) = 1125

Thus, the concert was 1125 children.

In total they were:

375 + 1125 = 1500 people

ANswer:

The concert was 1500 people

3 0
3 years ago
Simplify the radical expression (5+√3)(5-√3)<br> a. 16<br> b. 22<br> c. 25+10√3<br> d. 16+10√3
Alja [10]
B is the correct answer

(5 +  \sqrt{3} )(5 -  \sqrt{3) }  \\  = 25  -   \sqrt{3 {}^{2} }  = 25  -  3 = 22



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8 0
3 years ago
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PLEASE HELP!!!!!<br> will mark brainliest!!!!!
expeople1 [14]

Answer:

fx =1; then fx =2; then fx =4

Step-by-step explanation:

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A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a
USPshnik [31]

Answer:

Probability = 0.504

Step-by-step explanation:

Given

Gems= 35

Real = 10

Fake = 25

Required

Determine the probability of selecting two fakes

The probability can be represented as thus: P(Fake\ and\ Fake)

Using the following probability formula, we have:

P(Fake\ and\ Fake) = P(Fake) * P(Fake)

Each probability is calculated by dividing number of fakes by total number of gems:

P(Fake\ and\ Fake) = \frac{25}{35} * \frac{25-1}{35-1}

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection

P(Fake\ and\ Fake) = \frac{25}{35} * \frac{24}{34}

P(Fake\ and\ Fake) = \frac{5}{7} * \frac{12}{17}

P(Fake\ and\ Fake) = \frac{60}{119}

P(Fake\ and\ Fake) = 0.504

<em>Hence, the required probability is approximately 0.504</em>

7 0
3 years ago
What makes a trapezoid an isosceles trapezoid?
Licemer1 [7]

Answer:

A: Its legs are congruent

Step-by-step explanation:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. A pair of angles that share a base as a common side are called a pair of base angles. A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.

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