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3 years ago

Please help me define the variables and write out each equation. TY!

Mathematics

1 answer:

juin [17]3 years ago

6 0

Answer:

The equations are:

10x + 9y = 122

x + y = 13

Step-by-step explanation:

Given Jose makes 10$ per hour washing cars and 9$ per hour walking dogs.

Also, it is given that he had worked for 13 hours total making 122$.

Let us assume the number of hours he spent on washing cars = 'x'.

Let us assume the number of hours he spent on walking dogs = 'y'.

Since, the total number of hours is 13, we can write:

x + y = 13 . . . eqn(1)

And since he has made 122$ in total, we will have:

10x + 9y = 122 . . .eqn(2)

'10x' represents the total money earned by washing cars and '9y' represents the total hours spent on walking dogs.

Hence, Eqn (1) and Eqn(2) is the answer.

Solving them will give: x = 5 and b = 8.

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A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an

pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = $\frac{18}{37}$

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = $\frac{10}{37}$

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = $\frac{19}{37}$

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = $\frac{18}{37}+\frac{19}{37}-\frac{10}{37}$

∴ P(small or green) = $\frac{27}{37}$ = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

5 0

3 years ago

Triangles PIC Included

ZanzabumX [31]

Answer:

sin70° = x/6

Step-by-step explanation:

When we draw out our picture and triangle, we should see that our angle is on the ground 70°, the height <em>x</em> is across from the angle and is the vertical leg up, and that our hypotenuse is equal to 6:

sin70° = x/6

6 0

3 years ago

Read 2 more answers

PLEASE HELP :'))

andreev551 [17]

Answer:

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is $\frac{2}{3}$ of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, $R$ is $\frac{2}{3}$ of the distance from $U$ to $V$ , since the latter is the midpoint of the side opposite to $U$ . We know this because $R$ belongs to $UV$ , so $R$ must be $QS$ 's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).