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3 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]3 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.

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300 ml over 15 min is what rate of ml per hour

Mama L [17]

Answer:

1200 ml per hour

Step-by-step explanation:

To compute what rate is 300 ml over 15 mins as a rate of ml per hour, we do a rule of 3, using a variable x as that amount of ml we don't know yet. We should have everything in the same units, so instead of writing 1 hour we write 60 minutes:

$\frac{300~ml}{15~min}=\frac{x~ml}{60~mins}$

Now we solve for x:

$\frac{300~ml}{15~min}\cdot 60~mins=x~ml$

$\frac{18000~ml}{15} =x~ml$

$1200~ml =x~ml$

And so, now that we know the value of x, the rate we wanted to find is

$\frac{1200~ml}{60~mins}$

Which is just 1200 ml per hour.

3 0

2 years ago

Solve this equation<br>5(-7x-3)- 8x=-230

Brut [27]

Simplifying

5(7x + -3) = 230

Reorder the terms:

5(-3 + 7x) = 230

(-3 * 5 + 7x * 5) = 230

(-15 + 35x) = 230

Solving

-15 + 35x = 230

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 35x = 230 + 15

Combine like terms: -15 + 15 = 0

0 + 35x = 230 + 15

35x = 230 + 15

Combine like terms: 230 + 15 = 245

35x = 245

Divide each side by '35'.

x = 7

Simplifying

x = 7

5 0

3 years ago

An ice cream cone is filled with a vanilla and chocolate ice cream at a ratio of 2:

nirvana33 [79]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
----------\\
diameter=2\\
r=\frac{diameter}{2}\\
\quad = 1\\
h=6
\end{cases}\implies V=\cfrac{\pi\cdot 1^2\cdot 6}{3}
\\\\\\
V=2\pi \\\\
-------------------------------$

$\bf \cfrac{\stackrel{vanilla}{volume}}{\stackrel{chocolate}{volume}}\qquad 2:1\qquad \cfrac{2}{1}\implies \cfrac{2\cdot \frac{V}{2+1}}{1\cdot \frac{V}{2+1}}\implies \cfrac{2\cdot \frac{2\pi }{2+1}}{1\cdot \frac{2\pi }{2+1}}
\\\\\\
\cfrac{2\cdot \frac{2\pi }{3}}{1\cdot \frac{2\pi }{3}}\implies \cfrac{\quad \frac{4\pi }{3}\quad }{\frac{2\pi }{3}}$

3 0

2 years ago

Read 2 more answers

The table

Lady_Fox [76]

Can you show a picture of the table please

4 0

3 years ago

Please explain how to get answer in sq units of parallelogram ABCD

Lostsunrise [7]

Hey there :)

Assuming you are asking how to find the area of parallelogram ABCD:

We know the area formula of a parallelogram:
Area = base x height

Then apply the formula to the given.

7 0

3 years ago