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3 years ago

14

The recreation center is hiring counselors for summer camp. They need four counselors for every 25 campers. If there are 140 cam

pers, how many counselors will they need?

1 answer:

Akimi4 [234]3 years ago

7 0

Jus divide 140 by 25

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Someone help me please

Mariana [72]

Answer: I think 10

Step-by-step explanation: cuz area is length x height and basically you just do square root of 100 Bc thags a square so the sides should be equal

8 0

3 years ago

after eating 25 percent of the pretzels, Sonya had 42 left. how many pretzel did Sonya have originally?

Shtirlitz [24]

Answer:

56

Step-by-step explanation:

she ate 25% so she is left with 75%

you want to find that 25% so you do 75÷25=3

42÷3=14

25×4=100

14×4=56

she had 56 pretzels

7 0

3 years ago

What is the scale factor of two similar pyramids with volume of 13824 cubic feel and 216 cubic feet?

velikii [3]

Answer: The scale factor is 4

Step-by-step explanation:

We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:

$V_1=13,824ft^3\\V_2=216ft^3$

By Similar solids theorem, if two similar solids have a scale factor of $\frac{a}{b}$ , then corresponding volumes have a ratio of $\frac{a^3}{b^3}$

Then:

$\frac{V_1}{V_2}=\frac{a^3}{b^3}$

Knowing this, we can find the scale factor. This is:

$\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4$

3 0

3 years ago

Which equation represents a line which is parallel to the line 2x+y=-6?

joja [24]

The answer is: [C]: " y = -2x - 1 " .
____________________________________________________

5 0

3 years ago

taurus [48]

Answer:

$x^2 - 2x + 10$ , option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

$i^2 = -1$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

The solutions are:

$x_1 = 1 - 3i, x_2 = 1 + 3i$

We have to find the polynomial. All option have $a = 1$ . So

$(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10$

The correct answer is given by option b.

6 0

3 years ago