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3 years ago

Raj drove his car 5 times farther than Gary drives his car. Together they drive 624 miles. How many miles does Raj drive?

Mathematics

1 answer:

GuDViN [60]3 years ago

8 0

624 divided by 5 is (and thats your answer)

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Write the prime factorization of 576 using exponents. HELP!

Yuri [45]

What I seen from online was <span>576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 which</span><span> would be 2^6 x 3^2, but I don:t think I'm in your grade so I have no idea. So sorry.</span>

8 0

3 years ago

A steamer going downstream traveled the distance between two ports in 3 hours. The return trip took 3 hours 40 minutes. Find the

lapo4ka [179]

Answer:

1.8 mph

Step-by-step explanation:

Speed of the steamer in still water is 18 mph.

Speed of the current = x mph.

1. The steamer going downstream traveled the distance between two ports in 3 hours. Traveling downstream the current "helps" the steamer, then the speed is 18 + x mph.

The distance traveled downstream = 3(18 + x) miles.

2. The steamer going upstream traveled the distance between two ports in 3 hours 40 minutes that is $3\frac{2}{3}$ hours. Traveling upstream the current "interferes" the steamer, then the speed is 18 - x mph.

The distance traveled upstream $3\dfrac{2}{3}(18-x)$ miles.

3. The distances are the same, so

$3(18+x)=3\dfrac{2}{3}(18-x)$

Solve this equation:

$3(18+x)=\dfrac{11}{3}(18-x)\\ \\9(18+x)=11(18-x)\\ \\162+9x=198-11x\\ \\9x+11x=198-162\\ \\20x=36\\ \\x=1.8\ mph$

6 0

3 years ago

Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x.

Ede4ka [16]

<h3>Point Y is the midpoint of segment XZ. Then value of x is 20</h3>

<em><u>Solution:</u></em>

Given that,

<em><u>Point Y is the midpoint of segment XZ</u></em>

XY = 2(3x +1)

YZ = 5x + 22

To find: Value of x

Since, Point Y is the midpoint of segment XZ,

Therefore,

XY = YZ

2(3x + 1) = 5x + 22

6x + 2 = 5x + 22

6x - 5x = 22 - 2

Thus, value of x is 20

6 0

2 years ago

What multiples to give you -30 and adds to give you -13

vekshin1

Answer:

This is impossible

Step-by-step explanation:

But try -10x-3=30 -10+-3=-13

6 0

2 years ago

5$ is the cost and the cost per ride is 50 cent , if your parents give you 20$ . Write and solve a linear equation to find how m

Lesechka [4]

ANSWER= 30 rides

STEP-BY-STEP EXPLANATION

y=mx+b

m= $0.5 (per ride)

b= $5 (the cost)

x(rides) and y(parents money)

y= 0.5 x + 5

20= 0.5 x +5

20 - 5 = 0.5 x

15=0.5x

x= $\frac{15}{0.5}$

x=30 rides

4 0

3 years ago