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Vadim26 [7]
3 years ago
10

John took a drive to town at an average rate of 40 mph in the evening he drove back at 30 mph if he spent a total of seven hours

traveling what is the total distance traveled by John
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Answer: 240 if I'm correct.

Step-by-step explanation: 7 hours + speed given, most likely equals:

40 x 3 =120

30 x 4 = 120

So...

120 miles there, 120 miles back at different speeds, for a total of 240 miles

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Use the function shown in the table to answer the questions below .
Lubov Fominskaja [6]

Answer:

a) -6

b) 3

c) Y = -6x + 3

Step-by-step explanation:

Pick two points and find rise/run = slope

rise y1 - y2 = 9 - 3 = 6

run x1 - x2 = -1 - 0 = -1

slope = 6 / -1 = -6

The y intercept is where x = 0 which is given in the table (0,3) so

y intercept = 3

Point slope form is y = mx + b , so

y = -6x + 3

7 0
3 years ago
Factor completely x2 - 8x + 16.
Deffense [45]

Answer:

(X - 4)(x - 4)

Step-by-step explanation:

x2 - 8x + 16

What two numbers multiply to 16 and add to -8

-4 * -4 = 16

-4 +-4 = -8

(x-4) (x-4)

(x-4)^2

6 0
2 years ago
Read 2 more answers
A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
valina [46]

Answer:

P(Same)=\frac{61}{190}

Step-by-step explanation:

Given

Red = 5

White = 6

Black = 9

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

Total = 5 + 6 + 9

Total = 20

This is calculated as:

P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)

So, we have:

P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1}  + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1}  + \frac{9}{20} * \frac{9- 1}{20- 1}

P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19}  + \frac{9}{20} * \frac{8}{19}

P(Same)=\frac{20}{380} + \frac{30}{380}  + \frac{72}{380}

P(Same)=\frac{20+30+72}{380}

P(Same)=\frac{122}{380}

P(Same)=\frac{61}{190}

4 0
2 years ago
At a bake sale, Tia and Jaden earned $147 from the cookies they had sold. Then they paid Tia’s mother back $18 for materials to
nadya68 [22]

Answer: The total profit is $129

Step-by-step explanation:

The total revenue, was $147 (the total they earned), and the cost of the materials is $18 (how much they returned for the materials)

The total profit is computed as the difference between the revenue and the costs, then the total profit of the kids in this case is:

Profit = $147 - $18 = $129

This means that Tia and Jaden earned $129, if they divide it evenly, each one of them gets $129/2 = $64.5

3 0
3 years ago
Please help with this algebra question
zhenek [66]
We have
 -2x-3y <12
 For this case what you should do is to graph the following straight line:
 -2x-3y = 12
 Then, the solution will be the shaded region that satisfies the following inequality:
 -2x-3y <12
 In the shaded region you will find all the solution points.
 Answer:
 
See attached image

7 0
3 years ago
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