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Write a real-world problem that could be represented by the following inequality. 70 + 5x < 30 + 15x

kondaur [170]

Justin wants to paint his room. So he put together some quotations from two different painters. The first painter's total charge was based on the number of hours (denoted as x) worked was modeled as f( x ) = 70 + 5 x, while that of the second painter was g( x ) = 30 + 15 x. Justin knows that it will take more than 4 hours to decorate the house so he was certain to go with the first painter whose cost is low-priced when the number of hours is above 4 hours.

4 0

3 years ago

Solve the system of linear equations by substitution. y = x y = 2x - 1

Vera_Pavlovna [14]

X=1

Y=1

Step-by-step explanation:

.....................

8 0

3 years ago

Answer if you only know

salantis [7]

⇒ Based on the given rules of "Fire-Water-Sponge," outcomes 1, 5, and 8 are outcomes where you lose.

Therefore, 1,5, and 8 are the subset of outcomes where you lose, and we now can say that the statements "The subset consists of all of the outcomes where your friend wins" and "The subset consists of all of the outcomes where you do not win, and there is not a tie" accurately describe the subset.


Furthermore, because every subset outcome involves you losing, the statements "The subset consists of all of the outcomes where you win" and "The subset consists of all of the outcomes where there is a tie" do not accurately describe the subset.

$\star$ The statements that accurately describe the given subset of the sample space are:

$\star$ The subset consists of all of the outcomes where your friend wins.

 $\star$ The subset consists of all of the outcomes where you do not win and there is not a tie.

6 0

2 years ago

Read 2 more answers

Craig is standing on his apartment balcony and locates his car in the street-level parking lot below. The angle of depression of

murzikaleks [220]

Answer:

B. 147 feet

Step-by-step explanation:

We can easily imagine a right triangle for this problem. The height of the triangle is what we're looking for (x), at the bottom of x, we have the right angle formed by the building and the ground. The other side of that right angle is the distance to the car (300 ft). On top of the x side, we have the angle of 63 degrees looking down, since Craig is looking down by 27 degrees (90 - 27 = 63).

We can easily apply the Law of Sines that says:

$\frac{a}{sin(A)} = \frac{c}{sin(C)}$