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lys-0071 [83]
3 years ago
11

Theo left Phoenix traveling 55 mph. Two hours later, Dennis left Phoenix following Theo and he was speeding along at 75 MPH. How

many hours will it take Dennis to catch up with Theo?
Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

7.33333 hours

Step-by-step explanation:

Theo's speed = 55mph

Distance = speed * time

Distance covered after 2 hours

Distance = 55 * 2 = 110 miles (distance already covered by Theo when Dennis left

Dennis speed = 70mph

Let time taken to catch up = x

70x = 110 + 55x

70x - 55x = 110

15x = 110

x = 110 / 15

x = 7.33333 hours

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-4r-8(r-6)=7(5r-1)+8
KATRIN_1 [288]

Answer:

r = 1

Step-by-step explanation:

In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.

Distributive Property:

a(b+c) = ab + ac

Now, lets solve this:

-4r-8(r-6)=7(5r-1)+8\\-4r-8r+48=35r-7+8\\-12r+48=35r+1\\48-1=35r+12r\\47=47r\\r=\frac{47}{47}\\r=1

As we have seen the value of r is "1"

6 0
3 years ago
The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir
Tomtit [17]
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4 0
3 years ago
Read 2 more answers
Please help me!! i know u saw this so help me
storchak [24]

Answer:

I think 8

Step-by-step explanation:

9/2 and 5/8

here 8 is the LCM.

so, 9/2 × 4/4

5/8 × 1/1

which gives: 36/8 and 5/8

7 0
3 years ago
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Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB
Digiron [165]

Answer: The distace between midpoints of AP and QB is \frac{a}{8}.

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ = \frac{AP}{2}

QB = \frac{AP}{2}

Substituing:

AP + 2*(\frac{AP}{2}) = a

2AP = a

AP = \frac{a}{2}

Since the distance is between midpoints of AP and QB:

2QB = AP

QB = \frac{AP}{2}

QB = \frac{a}{2}*\frac{1}{2}

QB = \frac{a}{4}

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}

\frac{AP}{2} = \frac{a}{4}

<u>Midpoint of QB</u>:

\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}

\frac{QB}{2} = \frac{a}{8}

The distance is:

d = \frac{a}{4} - \frac{a}{8}

d = \frac{a}{8}

4 0
3 years ago
Help on the 10th question please!!
Svetlanka [38]

Answer

2336.5719? more

Step-by-step explanation:

17407*0.09= 1566.63

17407+1566.63=17973.63

17973.63*0.13= 2336.5719

2336.5719+17973.63=20310.2019

20310.2019-17973.63=2336.5719

3 0
2 years ago
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