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Romashka [77]
3 years ago
10

Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour . What is Nina’s rate miles

per hour if there are 5,280 feet in a mile?
Which girl bikes faster?
Mathematics
1 answer:
faltersainse [42]3 years ago
8 0

Answer:

Nina's rate in miles per hour is 2.7 miles/hour

Nina bikes faster

Step-by-step explanation:

we know that

1 hour=3,600 seconds

1 mile=5,280 feet

<em>Convert feet to miles</em>

63,360 feet=63,360/5,280=12 miles

Convert seconds to hours

3,400 sec=3,400/3,600=0.94 hours

Find Nina's rate in miles per hour

12/0.94=12.7 miles/hour

Sophia's rate in miles per hour is 10 miles/hour

Compare the rates

12.7 miles/hour > 10 miles/hour

therefore

Nina bikes faster

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Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each
Gelneren [198K]

Answer:

Each side of the square in centimetres = 10.80 centimetres

Step-by-step explanation:

To convert from one unit to another or in between units we make use of conversion factors or conversion formulas

The conversion factor for the conversion of units in centimetres to units in inches is given as about 2.54 centimetres being equivalent to 1 inch

Therefore;

1 inch = 2.54 centimetres

4.25 inches = 2.54 × 4.25 = 10.795 ≈ 10.80 centimetres

Therefore, each side of the square in centimetres = 10.80 centimetres.

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3 years ago
Which value in the set {16, 18, 51, 57} is a solution of the equation 3p = 54?
Step2247 [10]

Answer:

18

Step-by-step explanation:

54/3=18

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3 years ago
Find the equation of the axis of symmetry of the graph of y = (x + 3)^2 - 5
Temka [501]
Equation of the parabola: y = ax^2 + bx + c. Find a, b, and c.
x of axis of symmetry:
x
=
−
b
2
a
=
3
-> b = -6a
Writing that the graph passing at point (1, 0) and point (4, -3):
(1) 0 = a + b + c -> c = - a - b = - a + 6a = 5a
(2) -3 = 16a + 4b + c --> -3 = 16a - 24a + 5a = -3a --> a = 1
b = -6a = -6; and c = 5a = 5
y
=
x
2
−
6
x
+
5

Check with x = 1: -> y = 1 - 6 + 5 = 0. OK
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