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juin [17]
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?
Mathematics
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
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