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jok3333 [9.3K]
3 years ago
11

The temperature has been dropping 2 1/2 degrees every hour and the current temperature is -15°f. How many hours ago was it 0°f?

Mathematics
1 answer:
beks73 [17]3 years ago
5 0

Answer:

6 hours ago

Step-by-step explanation:

6 hrs x 2.5 degrees = 15 degrees

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What is the speed of a car that is traveling 150 miles in 3 hours? Show your work
Ira Lisetskai [31]

Answer:

speed =  \frac{distance}{time}  \\ speed =  \frac{150}{3}  \\  = 50 \: miles \: per \: hour

6 0
3 years ago
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Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He
kolbaska11 [484]

9514 1404 393

Answer:

  D.  Henry's started farther, went faster

Step-by-step explanation:

Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...

  y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value

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Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.

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Henry started farther from town and traveled faster.

5 0
3 years ago
A) What is the equation of the line that passes through the given pair points in slope-intercept form?
lesya [120]

A)

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 5.1) and (-1, -0.5). Substitute:

m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}

Therefore we have:

y=\dfrac{28}{15}x+b

Put the coordinates of the point (-1, -0.5) ot the equation:

-0.5=\dfrac{28}{15}(-1)+b

-0.5=-\dfrac{28}{15}+b     <em>multiply both sides by 2</em>

-1=-\dfrac{56}{15}+2b       <em>add \dfrac{56}{15} to both sides</em>

\dfrac{41}{15}=2b            <em>divide both sides by 2</em>

b=\dfrac{41}{30}

Answer: \boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}

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

B)

We have the points (-2, 3) and (3, -4).

Calculate the slope:

m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}

Therefore we have:

y=-\dfrac{7}{5}x+b

Put the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{7}{5}(-2)+b

\dfrac{15}{5}=\dfrac{14}{5}+b              <em>subtract \dfrac{14}{5} from both sides</em>

\dfrac{1}{5}=b\to b=\dfrac{1}{5}

Answer: \boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}

7 0
4 years ago
The radius of a circle is 3 yards. What is the circle's area in terms of x?
Elena L [17]

Answer:

D is the answer 3x yards in terms of x

7 0
3 years ago
How do you do this problem?
astra-53 [7]
By substitution is how to solve

2x-3y=21
y=3-x

2x-3(3-x)=21 
2x-9+3x=21
5x=30
x= 6

now substitute our x value into y=3-x
so we get 

y=3-6 = -3

so x=6 and y=-3  hope this helps!!!!! Thank you!
5 0
4 years ago
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