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Darya [45]
3 years ago
7

On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. She then rested for 1/4 hour before running another hour a

t a speed of 5 miles per hour. Which graph best represents the distance she traveled ?

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

Answer: option 4 is the correct answer.

Step-by-step explanation:

The graphs shown in the photo are plots of distance versus time.

Distance travelled = speed × time

On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. The distance that she covered would be

6 × 1.25 = 7.5 miles

She then rested for 1/4 hour. This means that her speed is 0 and the distance covered is also 0 miles.

She then ran for another hour at a speed of 5 miles per hour. Distance covered would be

5 × 1 = 5 miles

Total time spent would be

1.25 + 0.25 + 1 = 2.5 hours

Total distance covered would be

7.5 + 5 = 12.5 miles

Therefore, the 4th graph best represents the distance she traveled

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Mnenie [13.5K]

well, the bicycle costs "x" which is the 100% of its price, we know she has 30% thus far, and we also know that that is 66 bucks.

\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 66&30 \end{array}\implies \cfrac{x}{66}=\cfrac{100}{30}\implies \cfrac{x}{66}=\cfrac{10}{3} \\\\\\ 3x=660\implies x\cfrac{660}{3}\implies x=220

3 0
2 years ago
PLEASE PLEASE PLEASE HELP!!!!!
Sveta_85 [38]
I believe it would be a SAS
4 0
3 years ago
What is the answer to x (x+8)=9​
marta [7]

Answer:

x=1 or x=−9

Step-by-step explanation:

Let's solve your equation step-by-step.

x(x+8)=9

Step 1: Simplify both sides of the equation.

x2+8x=9

Step 2: Subtract 9 from both sides.

x2+8x−9=9−9

x2+8x−9=0

Step 3: Factor left side of equation.

(x−1)(x+9)=0

Step 4: Set factors equal to 0.

x−1=0 or x+9=0

x=1 or x=−9

8 0
3 years ago
Complete the table. Round to the nearest cent if necessary.
murzikaleks [220]
Answer: 99.07$
Steps: First turn 32% into a decimal by moving the decimal right 2 places. You get 0.32. Then multiply 75.05$ by your decimal. You get 24.016. Add that to 75.05 and round your cent up, getting 99.07$ Sorry if i am incorrect this is my first answer. Hope I helped :)
6 0
2 years ago
Solve the system of equations using substitution y=x-1 and y=-2x+5
pav-90 [236]
Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

y=x-1
y=2-1
y=1

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)
7 0
3 years ago
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