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Alik [6]
4 years ago
8

Sofia cycled a total of 12 kilometers by making 4 trips to work. How many trips will Sofia have to make to cycle a total of 18 k

ilometers? Solve using unit rates.
Mathematics
1 answer:
Stells [14]4 years ago
4 0

Answer:

6 trips

Step-by-step explanation:

12 divided by 4 equals 3

18 divided by 3 equal 6

she will have to take six trips to drive 18 kilometers.

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Find the slope of a line perpendicular to the line that has z-intercept (-3,0) and has y-intercept of (0,2).
WITCHER [35]

Answer:

3/2

Step-by-step explanation:

(-3,0)(0,2)

2|0

0 |-3.

0--3 =0++3=3

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2-0 =2

8 0
4 years ago
Rachel leaves Las Vegas heading directly east at a rate of 53 miles per hour.
shutvik [7]

The speed is the distance covered by an object at a particular time. It will take Max 10.6 hours to catch up with Rachel.

<h3>What is speed?</h3>

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that Max leaves Las Vegas one hour after Rachel leaves. Also, the speed at which Rachel is travelling is 53 miles per hour. Therefore, the distance covered by Rachel in one hour is,

Distance covered by Rachel = 1 hour ×  53 miles per hour = 53 miles

Now, the distance between Max and Rachel is 53 miles. Therefore, the time it will take Max to reach Rachel can be found as,

Time needed to catch up with Rachel = Distance / relative speed

Time = 53 miles / (58 mph - 53 mph)

         = 53 miles / 5 mph

         = 10.6 hours

Hence, it will take Max 10.6 hours to catch up with Rachel.

Learn more about Speed here:

brainly.com/question/15100898

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7 0
2 years ago
Directions: Use each graph below to write the equation of the line in slope-intercept form y=mx + b. Make sure to show your work
xxTIMURxx [149]

Answer:

Step-by-step explanation:

Y=mx+b

Slope (m) is rise over run.

1. rise= 4 run=5 therefore, slope=4/5

y=4/5x+b

b= y intercept

b= 4

Y=4/5x+4

2. rise= 1 run= 2 slope = -1/2

b= -1

Y= -1/2x - 1

6 0
3 years ago
Emma is going to invest in an account paying an interest rate of 6.7% compounded continuously. How much would Emma need to inves
Anna11 [10]

Answer:

$3300 to nearest hundred.

Step-by-step explanation:

Let the amount required be $A then

11000 = Ae^(0.067*18)

A = 11000 / e^(0.067*18)

= 3293

7 0
3 years ago
Use the unit circle to find the value of sin ³π/2 and cos ³π/2
juin [17]

Answer:

1 and 0

Step-by-step explanation:

sin( \frac{\pi }{2} ) = 1, hence

sin³(\frac{\pi }{2} ) = 1³ = 1

cos( \frac{\pi }{2} ) = 0, hence

cos³ (\frac{\pi }{2} ) = 0³ = 0

5 0
3 years ago
Read 2 more answers
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