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3 years ago

14

During a cold winter day, the temperature change was - 2.3 f per hour for a period of 6.5 hours. What was the change in temperat

ure during that time?

1 answer:

meriva3 years ago

4 0

Answer:

-14.95 F

Step-by-step explanation:

<u>Given:</u>

Temperature change rate is - 2.3 F per hour
Time is 6.5 hours

<u>The change in temperature is:</u>

temperature change rate * time

-2.3 * 6.5 = -14.95 F

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Asap answer pls-----------

marissa [1.9K]

Answer:

$y=\frac{4}{5}x-\frac{18}{5}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0).

<u>1) Determine the slope (m)</u>

$m=\frac{y_2-y_1}{x_2-x_1}$ where two points on the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, the points (-3,-6) and (2,-2) are plotted clearly, so we can use these to help us find the slope. Plug them into the equation:

$m=\frac{-6-(-2)}{-3-2}\\m=\frac{-6+2}{-3-2}\\m=\frac{-4}{-5}\\m=\frac{4}{5}$

Therefore, the slope of the line is $\frac{4}{5}$ . Plug this into $y=mx+b$ :

$y=\frac{4}{5}x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{4}{5}x+b$

Typically, given a graph, we could look at where exactly the line crosses the y-axis to determine b. However, because it appears ambiguous on this graph, we must solve it algebraically.

Plug in one of the given points (2,-2) and solve for b:

$-2=\frac{4}{5}(2)+b\\-2=\frac{8}{5}+b$

Subtract $\frac{8}{5}$ from both sides to isolate b

$-2-\frac{8}{5}=\frac{8}{5}+b-\frac{8}{5}\\-\frac{18}{5} =b$

Therefore, the y-intercept of the line is $-\frac{18}{5}$ . Plug this back into $y=\frac{4}{5}x+b$ :

$y=\frac{4}{5}x+(-\frac{18}{5})\\y=\frac{4}{5}x-\frac{18}{5}$

I hope this helps!

8 0

4 years ago

Miguel is working at the county fair. On Friday, he works at the concession stand. On Saturday, he works at the balloon dart b

Liono4ka [1.6K]

Answer:

$362.25

Step-by-step explanation:

Profit made per product :

Soft pretzel = $5.25 - $3.50 = $1.75

Candied apple = $3.50 - $1.75 = $1.75

For every 2 candied apple sold, 7 soft pretzel is sold :

If 161 sold pretzel is sold, the number of candied apple sold will be :

(161 / 7) * 2

23 *. 2 = 46 candied apple was sold

Profit made on product sold :

Soft pretzel = $1.75 * 161 = $281.75

Candied apple = $1.75 * 46 = $80.5

$(80.5 + 281.75) = $362.25

3 0

3 years ago

The radius of a quarter circle is 3 what is the quarter circle's perimeter?

slava [35]

Answer:

21.42

Step-by-step explanation:

Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42

6 0

2 years ago

Parsons Bank offers two checking-account plans. The No Frills plan charges 25 cents per check whereas the Simple Checking plan

deff fn [24]

No frills = $0.25(x)
simple = $6 + $0.05(x)
set equal to each other
0.025(x) = 6 + 0.05(x)
rearrange like terms together
0.025(x) - 0.05(x) = 6
0.020(x) = 6
x =300
Simple plan will be cheaper once you use more than 300 checks

4 0

3 years ago

3. Simplify the following inequalities.

saw5 [17]

Answer:

7x+7<u> </u><u>></u><u> </u>23-x

group like terms

7x+ x <u>></u><u> </u><u>2</u><u>3</u><u>-</u><u>7</u>

8x<u> </u><u>></u><u> </u>16

we divide both side by

<u>8</u><u>x</u><u> </u> <u>></u><u> </u> <u>1</u><u>6</u>

8 8

so 8 cancelled out 8 living

x <u>></u><u> </u> <u>1</u><u>6</u>

<u> </u> 8

x <u>></u><u> </u>2

8

we

7 0

3 years ago