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zaharov [31]
3 years ago
5

Expand the expression: 1/3(12d + e)

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

4d + e/3

1/3 x 12d + 1/3e

1x12d/3+1/3e

12d/3 + 1/3e

4d + 13e

4d + e/3

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bars(s).
kirza4 [7]

Answer:

(a)23 (b)90 (c)3

Step-by-step explanation:

The equation for the line of best fit for this situation is given as

y=\frac{3}{10}x+8

where x=average temperature in degrees

y=average number of hot dogs she sold,

(a) The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.

When x=50°

y=\frac{3}{10}X50+8=15+8=23

When the temperature is 50°, the expected number of hot dogs sold would be 23.

(b)If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.  

If y=35

35=\frac{3}{10}x+8\\35-8=\frac{3}{10}x\\27=\frac{3}{10}x

Multiply both sides by 10/3

27 X \frac{10}{3}= \frac{3}{10}x X \frac{10}{3}\\x=90^{0}

If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.  

(c) Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

3 0
3 years ago
Write (-2,5) and (0,8) linear equation in slope intercept form
maxonik [38]

Answer: y= 3/2x+8

Step-by-step explanation:

5 0
3 years ago
An airplane flies at a rate of 356 km/h. the plane travels a total distance of 1424 km. (use distance = rate * time for your equ
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Your distance is 1424 and your rate is 356. As you said, d = r*t. Since you don't have the time you would do 1424 divided by 356. This leaves you with a time of 4 hours. (Don't forget units!)

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Which linear equation could David use to determine y, the total distance he could swim without stopping to rest?
Gala2k [10]

Answer:

I would say C

Step-by-step explanation:

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