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devlian [24]
3 years ago
15

The distance a car travels varies directly with the time it travels. a car travels 192.5 miles in 3.5 hours. how long will it ta

ke the car to travel 495 miles?
Mathematics
1 answer:
nasty-shy [4]3 years ago
5 0
Find the velocity of the car
v = d/t
v = 192.5/3.5
v = 55 miles/hour

Find the time to travel 495 miles
t = d/v
t = 495/55
t = 9

It will take 9 hours to travel 495 miles
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A child's tent can be modeled as a pyramid with a square base whose sides measure 60 inches and whose height measures 84 inches.
IgorC [24]

Answer:

The volume of the tent is 100,800\ in^{3}

Step-by-step explanation:

we know that

The volume of the square pyramid (child's tent) is equal to

V=\frac{1}{3}b^{2}h

we have

b=60\ in

h=84\ in

substitute

V=\frac{1}{3}(60^{2})(84)=100,800\ in^{3}

5 0
3 years ago
Read 2 more answers
What is -3(2x-3)=-15
Oksanka [162]

Answer:

18

Step-by-step explanation:

-3(2x-3)

-3x(-6)

-3x-6=18 because the negatives cancel each other out.

7 0
3 years ago
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How do I find:<br> If 6^x=1/216,find the value of x with and without a Casio calculator?
san4es73 [151]

Answer:

The value of x is -3.

Step-by-step explanation:

To find x, we have to put everything in base 6 and continue to simplify. Since we know that 216 is 6^3, we can replace that.

6^x = 1/216

6^x = 1/(6^3)

Now, when there is a power in the denominator, we know we can move it to the numerator by making it negative. We can do that to get the bases to match.

6^x = 1/(6^3)

6^x = 6^-3

Now that they are both put in simple base 6 systems, we can just eliminate the bases and assume that the powers are equal. This lets us know that x = -3.

8 0
2 years ago
2.c)in the diagram below, 4 m and ORIST at R. 5 $ 0 If m_1 = 63, find m_2.
pickupchik [31]

Data:

l and m are parallel lines

QR and ST are perpendicular in R

Angle 1 is 63°

The angle formed by perpendicular lines is a right angle (90°)

Angles 1 and 3 are alternate angles: angles that occur on opposite sides of a transversal line that is crossing two parallel.

Alternate angles are congruent, have the same measure.

\begin{gathered} m\angle1=m\angle3 \\  \\ m\angle3=63 \end{gathered}

The sum of the interior angles of a triangle is always 180°. In triangle QRT:

\begin{gathered} m\angle2+m\angle3+90=180 \\  \\ m\angle2+63+90=180 \\  \\ m\angle2+153=180 \end{gathered}

Use the equation above to find the measure of angle 2:

\begin{gathered} \text{Subtract 153 in both sides of the equation:} \\ m\angle2+153-153=180-153 \\  \\ m\angle2=27 \end{gathered}Then, the measure of angle 2 is 27°

8 0
8 months ago
After increase by 30 % it becomes $520?
Art [367]
I believe it is 364.
7 0
3 years ago
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