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FrozenT [24]
2 years ago
11

(a) Jasmine ran 55 miles in 4242 minutes. Part A At what rate did Jasmine run? ​Jasmine ran at a rate of minutes per mile. ​Part

B Katie ran 44 miles. She ran at a rate that was 1.11.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. ​ ​
Mathematics
1 answer:
Pavlova-9 [17]2 years ago
5 0

Answer:

Part A

0.764 minutes/miles

Part B

48.4 minutes

Step-by-step explanation:

a) Jasmine ran 55 miles in 42 minutes. Part A At what rate did Jasmine run?

​Jasmine ran at a rate of minutes per mile. ​

Rate = Minutes/Miles

Minutes = 42 minutes

Miles = 55 miles

Jasmine's rate = 42 minutes/55 miles

= 0.7636363636 minutes/miles

Approximately = 0.764 minutes/miles

Part B

Katie ran 44 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. ​ ​

Rate = Minutes/Miles

Minutes = ?

Miles = 44 miles

Rate = 1.1 minutes per miles

Hence:

1.1 minutes per miles = x/44 miles

x = 1.1 minutes per miles × 44 miles

x = 48.4 minutes

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-> See attached

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y
=
−
2
x
+
7
;
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for y:
y
=
−
2
x
+
7

Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
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x
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7
−
2
x
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7
+
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x
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x
(Add -5x to both sides)
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7
x
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7
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+
−
7
(Add -7 to both sides)
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7
x
=
−
14
−
7
x
−
7
=
−
14
−
7
(Divide both sides by -7)
x
=
2

Step: Substitute
2
for
x
in
y
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)

Answer: x=2 and y=3
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