All categories

2 years ago

9. A contestant on a game show must guess the price of a new car. The contestant will

Mathematics

1 answer:

iren [92.7K]2 years ago

4 0

Given :

A contestant on a game show must guess the price of a new car. The contestant will win if his guess is within $1000 of the price of the car.

To Find :

If the price of the car is $24,995 and the contestant's guess is represented by g, what absolute value inequality represents this situation.

Solution :

Let, range in which participant guess would be considered correct is r.

So, r should be in range $( 24,995 ± 1000 ).

( 24,995 - 1000 ) ≤ r ≤ ( 24,995 + 1000 )

23,995 ≤ r ≤ 25,995

Therefore, the correct inequality is 23,995 ≤ r ≤ 25,995 .

Hence, this is the required solution.

You might be interested in

PLEASE HELP!!! A.S.A.P!!

Ksivusya [100]

Answer:

142m

Step-by-step explanation:

This problem can be solved by simply using the pythagorean theorem, as you stated at the beginning of the problem, which is: $a^{2} +b^{2} =c^{2}$

You are given the a side and b side that are needed for this equation, so it's all a matter of plugging in the information you have:

$110^{2} +90^{2} =c^{2}$

$110^{2} =12100$

$90^{2} =8100$

$12100+8100=c^{2}$

$20200=c^{2}$

Now, because the c is still squared, you must take the square root of 20200 in order to get the length of just side c:

$\sqrt{20200}$ ≈142m

7 0

2 years ago

GUYSSSSS!!!! PLEASE I NEED HELP RIGHT NOWW!!! HELP PLEASE!

nikdorinn [45]

Answer:

$\angle ABC=20^{\circ}$

Step-by-step explanation:

Since each side of a line is 180 degrees, we can write the following system of equations:

$\begin{cases}2x+12y+x+2y=180,\\x+2y+8y-4x=180\end{cases},\\\begin{cases}3x+14y=180,\\-3x+10y=180\end{cases}$

Add both equations to solve for $y$ :

$24y=360,\\y=\frac{360}{24}=15$

Now substitute $y=15$ into $3x+14y=180$ to solve for $x$ :

$3x+14(15)=180,\\3x=-30,\\x=-10$

Finish by substituting both variables to solve for $\angle ABC$ :

$\angle ABC=x+2y,\\\angle ABC=-10+2(15),\\\angle ABC=-10+30=\boxed{20^{\circ}}$

7 0

2 years ago

Find the slope of the line containing the given points

Luden [163]

Answer:

-9/8

Step-by-step explanation:

The two points given are

(1,6) and (9,-3)

The slope is given by

m = (y2-y1)/(x2-x1)

= (-3-6)/(9-1)

= -9/8

8 0

2 years ago

Suppose a hot air balloon begins descending at a rate of 30ft/min from an elevation of 1250ft. Write an equation to model the ho

galina1969 [7]

Base elevation is 1250 ft
rate is 30 per minute 30m
so, h = 1250 - 30m
as an inclusion, 30 ft per minute is also like 0.5 per second like 1250 - 0.5s
1250/30 means it would be about 42 minutes once it touches the ground.

7 0

2 years ago

Y = (x) =(1/8)^x Find f(x) when X = (1/3) Round your answer to the nearest thousandth.

vlada-n [284]

Answer:

1/2.

Step-by-step explanation:

f(x) = (1/8)^x

when x = 1/3

f(x) = (1/8)^1/3

f(x) = ∛(1/8)

f(x) = 1 / ∛8

f(x) = 1/2.

6 0

2 years ago