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Ganezh [65]
3 years ago
12

A cyclist rode at an average speed of 15 mph for 30 miles. How long was the ride? Question 6 options: 0.5 hours 1 hour 2 hours 3

hours
Mathematics
2 answers:
Rus_ich [418]3 years ago
6 0

Answer:

2 hours

Step-by-step explanation:

using the relationship

distance = speed × time, then

time = \frac{distance}{speed} = \frac{30}{15} = 2 hours


Paladinen [302]3 years ago
6 0
2 hours because in one hour the cyclist biked 15 miles. That means you could follow the formula 30=15x where 30 is the total distance traveled and x=the number of hours cycled.
(You could solve it two ways)
1. Division:
30=15x ⬅️divide each side by 15
2=x ⬅️ 15 cancels out and you’re left with x=2

2. Multiplication: (you can use to check answer also)
30=15x; x=2
30=15(2) ⬅️ plug in 2
30=30 ✅
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John received $9,000 in student loans. Part of the money he was able to borrow at 7% simple interest, but on the rest of the mon
lidiya [134]
He borrowed "a" at 7% and "b" at 8.25%

now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000

now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a

he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b

now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25

thus   \bf \begin{cases}
a+b=9000\implies \boxed{b}=9000-a\\
0.07a+0.0825b=706.25\\
----------\\
0.07a+0.0825\left(\boxed{9000-a}  \right)=706.25
\end{cases}

solve for "a", to see how much he borrowed at 7%

what about "b"? well, b = 9000-a
6 0
3 years ago
Which angles are vertical angles?
shutvik [7]

Answer:

<DCA and <BCF

Step-by-step explanation:

The vertically opposite angles are the angles <DCA and <BCF. These angles are always equal.

  • When two lines cross, two angles that are vertical two one another are equal.
  • They are know as vertically opposite angles.
  • When two straight lines cross each other, four angles are produced.
  • The two vertically opposite have the same values.

6 0
3 years ago
The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
alexgriva [62]
Let the width be x.

Length is 8 feet more than width. Length = x + 8

Area = x(x + 8)

width increased by 4, that is,  (x + 4)
Length decreased by 5,    (x + 8 - 5) = (x + 3)

Area  = (x + 4)(x +3)

Area remains the same

x(x + 8) = (x+4)(x +3)

x² + 8x =   x(x +3) + 4(x +3)

 x² + 8x =   x² +3x + 4x +12

x² + 8x =   x² +7x +12        Eliminate x² from both sides

8x = 7x + 12

8x - 7x = 12

x = 12

Dimensions of original rectangle :  x,  x + 8

12, 12 +8 =   12, 20

Original rectangle is   20 feet   by 12 feet 
5 0
3 years ago
Read 2 more answers
In the figure below, if the radius of circle o
Aliun [14]

Answer:

The length of AC is 10 units

Step-by-step explanation:

In the given circle O

∵ AOCB is a rectangle

∵ OB and AC are the diagonals of the rectangle AOCB

∵ Diagonals of the rectangle are equal in lengths

→ That means OB and AC are equal in lengths

∴ OB = AC

∵ O is the center of the circle

∵ B is a point on the circle

∴ OB is a radius of the circle O

∵ The radius of the circle is 10 units

∴ OB = 10 units

∵ OB = AC

∴ AC = 10 units

∴ The length of AC is 10 units

5 0
2 years ago
in the first third of the season the team played 18 games how many games will the team play during the whole season​
patriot [66]

Answer:

54

Step-by-step explanation:

all you have to do is times 18 by 3

5 0
2 years ago
Read 2 more answers
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