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3 years ago

Write the equation of the line that has the given slope and y-intercept:

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer: y = 1/3x + 28

Step-by-step explanation:

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A video store specializes in three types of movies: children's, American West, and horror. It's known that:

xenn [34]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

$\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\$

Simplifying the system of equations, we have

$\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\$

$\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500$

$y&=500+100=600\\ z&=3(500)-600=900$

The video store has 500 children's movies, 600 westerns and 900 horror movies.

6 0

2 years ago

7 less than a number A 7-x B 7x C 7 divided x D x-7

asambeis [7]

The answer is d x-7 because it's seven less than a number

3 0

3 years ago

What expression is equivalent to 2 m plus m plus m

Masteriza [31]

Answer: 2m+m+m is really the same thing as saying m+m+m+m, or 4m. Use whatever you like as the expression :)

8 0

3 years ago

The scatter plot shows the number of text messages sent (x) and text messages received (y) by 10 students in a half hour.

juin [17]

Answer: It’s B

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A Poker club has 10 members. A president and a vice-president are to be selected. In how many ways can this be done if everyone

Nesterboy [21]

Answer:

90 different ways

Step-by-step explanation:

We have a total of 10 members, and we want to find how many groups of 2 members we can have, where the order of each member in the group of 2 is important, so we have a permutation problem.

To solve this problem, we need to calculate a permutation of 10 choose 2.

The formula for a permutation of n choose p is:

$P(n, p) = n! / (n - p)!$

So we have:

$P(10, 2) = 10! / (10 - 2)!$

$P(10, 2) = 10! / 8!$

$P(10, 2) = 10*9 = 90$

So there are 90 different ways of choosing a president and a vice-president.

7 0

4 years ago