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kirill [66]
3 years ago
9

A car is traveling at a constant velocity. After two hours the car has traveled 90 miles. After five hours the car has traveled

225 miles. Assuming a linear equation fits this situation, how far will the car have traveled after seven hours?
Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0
After 2 hrs, the car has traveled 90 miles....that means the car travels 90/2 = 45 miles per hr. After 7 hrs...the car has traveled 7 * 45 = 315 miles
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the water temperature of a swimming pool is 76f. the temperature is currently 74f. which graph shows how much the temperature ne
Nikolay [14]

Answer:

Bacteria, algae and other organisms thrive under warm water conditions this is obviously harmful not just for athletes but the general public in a commercial swimming pool, for competitive pools the water should be no higher than 82°F (28°C), for recreational pools the recommended maximum is 84°F (29°C).

Step-by-step explanation:

3 0
3 years ago
a ski chalet offers 2 weekend packages. one package provides 2 nights and 3 meals for$280. the other provides 2 nights and 5 mea
Helga [31]


<span> <span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>

    <span><span>2n = -3m + 280
</span>      </span><span>n = -3/2 m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>

 <span><span>2n = -5m + 320
</span> </span><span>n = -5/2m + 160
</span><span><span> so now you have

</span>-3/2m + 140 = -5/2m + 160 </span>

<span><span>Rearrange to become:
</span> </span><span><span>-3/2m + 5/2m = 160 - 140
</span> </span><span>m = 20
</span><span>
</span>

<span>Now place 20 into the very 1st</span><span><span> equation in place of the letter m
</span> </span><span><span>2n + 3(20) = 280
</span> </span><span><span>2n + 60 = 280
</span> </span><span><span>2n = 220
</span> </span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>


8 0
3 years ago
What is the x-intercept of the equation -7x+3y=21
mezya [45]
Hello!!

Well, the x-intercept is found when y = 0, so plug in y = 0:

-7x + 3(0) = 21
-7x = 21
x = -3

Therefore, the x-intercept of -7x + 3y = 21 is -3.

Hope this helps!! Let me know if you have ANY questions.
7 0
3 years ago
Read 2 more answers
Y = x^2+ 7x - 5 can be written in the form y = (x + a)^2+b
BARSIC [14]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( \frac{7}{2} )x +\frac{49}{4} - \frac{49}{4} - 5

y = (x + \frac{7}{2} )² - \frac{49}{4} - \frac{20}{4}

y = (x + \frac{7}{2} )² - \frac{69}{4}

Hence

a = \frac{7}{2} and b = - \frac{69}{4}

8 0
3 years ago
Give a correct interpretation of a 99% confidence level of 0.102 &lt; p &lt; 0.236.
lord [1]
We are 99% confident that the interval from 0.102 to 0.236 actually does contain the true value of the population proportion <span>p.</span>
4 0
3 years ago
Read 2 more answers
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