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sweet [91]
3 years ago
12

after 3.5 hours, Pasha had traveled 217 miles. if she travels ata constant speed, how far will she have traveled after 4 hours?

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
7 0
Pasha travels 62 miles in an hour (217 divided by 3.5 is 62). So, 62 times 4 hours is 248. So, in 4 hours, she would have traveled 248 miles
Natasha_Volkova [10]3 years ago
4 0

Answer:

248 miles

Step-by-step explanation:

We have been given that after 3.5 hours, Pasha had traveled 217 miles.

First of all, we will find distance traveled by Pasha per hour by dividing 217 by 3.5.

\text{Pasha's driving rate}=\frac{\text{217 miles}}{\text{3.5 hours}}

\text{Pasha's driving rate}=\frac{\text{62 miles}}{\text{hour}}

Now, we will multiply 62 by 4 as:

\text{Distance covered by Pasha in 4 hours}=\frac{\text{62 miles}}{\text{hour}}\times 4\text{ hours}

\text{Distance covered by Pasha in 4 hours}=\text{62 miles}\times 4

\text{Distance covered by Pasha in 4 hours}=\text{248 miles}

Therefore, Pasha will travel 248 miles in 4 hours.

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What is the difference between a rectangular prism and a triangular prism?
alukav5142 [94]
The difference between these two figures is the shape of the base.
Prisms are "named" by their bases.
A rectangular prism has a rectangular base, a triangular prism has a triangular base, a square prism would have a square base, etc.
3 0
3 years ago
Read 2 more answers
Write as an ordered pair. 4x+2y=16 and -4y+x=4
Margaret [11]

Answer:

(4,0)

Step-by-step explanation:

4x+2y=16

-4y+x=4

Multiply the first equation by 2

2(4x+2y)=16*2

8x +4y = 32

Add the 2nd equation

8x +4y = 32

x  -4y     =4

--------------------

9x            =36

Divide each side by 9

9x/9 = 36/9

x=4

Now solve for y

-4y +x =4

-4y +4 = 4

Subtract 4 from each side

-4y +4-4=4-4

-4y =0

Divide by -4

-4y/-4 =0/-4

y=0

(4,0)

4 0
3 years ago
Read 2 more answers
Find the length of ST
Andru [333]

Answer:

ST = 12

Step-by-step explanation:

By AA Similarity, triangles ASR and EST are similar.

The ratio of the lengths of the sides of triangle ASR to those of EST is 6/8 or 3/4.

\dfrac{SR}{ST} = \dfrac{3}{4}

Also,

SR + ST = 21

By a rule of proportions, you get

\dfrac{SR + ST}{ST} = \dfrac{3 + 4}{4}

\dfrac{21}{ST} = \dfrac{7}{4}

7ST = 4 \times 21

7ST = 84

ST = 12

3 0
3 years ago
A swim meet has 13 contestants signed up for the 100-meter butterfly event. The first heat has 6 swimmers. How many different wa
tino4ka555 [31]

Answer:

6 swimmers in the first heat can be arranged in 1716 different ways.

Step-by-step explanation:

A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.

So to select 6 swimmers out of 13 contestants number of different ways

= ^{13}C_{6}

= \frac{13!}{(6!)(13-6)!}

= \frac{13\times 12\times 11\times 10\times 9\times 8\times 7!}{6!\times 7!}

= \frac{13\times 12\times 11\times 10\times 9\times 8}{6\times 5\times 4\times 3\times 2\times 1}

= \frac{1235520}{720}

= 1716

Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.

5 0
3 years ago
The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is sho
abruzzese [7]

Answer:

27.385 cm longer would we expect Mike's arm span to be than George's.

Step-by-step explanation:

We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:

y= 4.5x + 0.977 x

where y= arm span

and x= height

Given:

Mike's height=x = 175 cm

so Mike's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (175) + 0.977* (175)

                                    = 787.5 + 170.975

                                    = 958.475 cm

George's height = x = 170 cm

so George's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (170) + 0.977* (170)

                                    = 765 + 166.09

                                    = 931.09 cm

Mike's arm span longer than George's = Mike's arm span - George's arm span

                                                                 = 958.475 - 931.09

                                                                 = 27.385 cm.

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3 years ago
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