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Rus_ich [418]
3 years ago
5

2. Jack ran 5 miles in 42.5 minutes. Jill ran 3 miles in 23.25 minutes. Who ran faster? How do you know?

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
5 0

Jill ran faster.  I know because I compared both of their unit rates.

Jack's unit rate is  5/42.5 = 0.118 mile per minute (rounded)

Jill's unit rate is  3/23.25 = 0.129 mile per minute (rounded)

Jill runs a greater part of a mile per minute than Jack does.
She is faster.  There's no getting around it.

mart [117]3 years ago
3 0
Jack: 42.5 ÷ 5 = 8.5
Which means Jack runs 1 mile in 8.5 minutes

jill: 23.25 ÷ 3 = 7.75
Which means Jill runs 1 mile in 7.75 minutes

Jill is faster
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A what is an equation stating that two ratios or rates are equal
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The equation is
(A ≠ B)
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3 years ago
I have 6.5 yards of fabric and if the fabric costs $3.99 per yard how much will I spend
Masteriza [31]

Answer: You will spend 25.94$

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4 0
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Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please
Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0
2 years ago
Evaluate the following: −3 − (−2).
Maurinko [17]

Answer:

Step-by-step explanation:

hello :

−3 − (−2)= -3+2 = -1

6 0
3 years ago
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