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valkas [14]
3 years ago
12

Jeff was already 7 miles out of town when his sister

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

x_j(t) = 7 + 2.5 t

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

x_s(t) = 6t

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

x_j(t) = x_s(t)\\7+2.5t=6t

And solving for t,

7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

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bulgar [2K]

Step-by-step explanation:

coefficient of x is 17

coefficient of y is -5

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8 0
3 years ago
The lengths of the
Dmitrij [34]

Answer:

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Step-by-step explanation:

From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side

Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC

We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;

ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.

The length of the perimeter of ΔABC, S_{\Delta ABC} = 2 × The length of the perimeter of triangle ΔEDC, S_{\Delta EDC}

S_{\Delta ABC} = 2 ×  S_{\Delta EDC}

∴  S_{\Delta ABC}  ≠ 4 ×  S_{\Delta EDC}

The statement which is incorrect is therefore;

S_{\Delta ABC}  = 4 ×  S_{\Delta EDC}.

4 0
3 years ago
The number of tourists at the beach per weekend in July was 55,000, In November, the number of tourists per weekend was 18,000.
Ganezh [65]

Answer:

The percentage change from July to November is 67.27 %

Step-by-step explanation:

Given as :

The number of tourists at the beach per weekend in the month of July = x_1 = 55,000

The number of tourists at the beach per weekend in the month of November = x_2 = 18,000

Let the percentage change from July to November = A %

Or,  % decrease change = \dfrac{\tetxtrm new value - \textrm old value}{\textrm old value} × 100

So , A % = \dfrac{\tetxtrm [tex]x_2   - \textrm  x_1 }{\textrm  x_1 }[/tex] × 100

or, A % = \frac{55000 - 18000}{55000} × 100

Or, A % = \frac{37000}{55000} × 100

Or, A  = 67.27 %

So percentage change between two months = 67.27 %

Hence The percentage change from July to November is 67.27 % Answer

6 0
3 years ago
Jerome takes a math course and a science course for summer school. For every 3 hours Jerome spends studying math, he studies sci
gulaghasi [49]

Answer:

he studies his math for 15 hours

Step-by-step explanation:

4 0
3 years ago
The amount of tax for each camera is $5.25 and the tax rate is 6%. Explain how the equation: (Original Cost)(Percent) = Tax Amou
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x(1.06)=5.25

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3 0
3 years ago
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