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kolbaska11 [484]
2 years ago
12

I need help with this expanding expressions -10(8x-4)=

Mathematics
1 answer:
AlexFokin [52]2 years ago
3 0

Step-by-step explanation:

1 Simplify 8\times -48×−4 to -32−32.

10\times -32

10×−32

2 Simplify.

-320

−320

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Aidan is participating in an 8 mile walk for his favorite charity. The organizers used a coordinate grid to plot the course. The
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Answer:

Aidan is 2 miles far from the ending point when he reaches the water station.

Step-by-step explanation:

The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:

From starting point to ending point:

D = \sqrt{(3-3)^{2}+(9-1)^{2}} (Eq. 1)

D = 8\,mi

From starting point to water station:

d = \sqrt{(3-3)^{2}+(7-1)^{2}} (Eq. 2)

d = 6\,mi

The distance between the water station and the ending point is:

s = D-d (Eq. 3)

s = 8\,mi-6\,mi

s = 2\,mi

Hence, Aidan is 2 miles far from the ending point when he reaches the water station.

3 0
3 years ago
A car rental agency rents 190 cars per day at a rate of 29 dollars per day. for each 1 dollar increase in the daily rate, 5 fewe
Leviafan [203]

The equation that we can create from this situation is:

i = (190 – 5 x) * (29 + x)

where i is the income and x is the increase in daily rate

Expanding the equation:

i = 5510 + 190x – 145x - 5x^2

i = -5x^2 + 45x + 5510

Taking the 1st derivative:

di/dx = -10x +45

Set to zero to get the maxima:

-10x + 45 = 0

x = 4.5

 

So the cars should be rented at:

29 + x = 33.5 dollars per day

 

The maximum income is:

i = (190 – 5*4.5) * (33.5)

i = 5,611.25 dollars

7 0
2 years ago
In a lottery the first prize is $1,000,000. Each succeeding prize is 1/2 of the preceding prize. How much money is allotted in 7
marusya05 [52]
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If you need the total just add
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3 years ago
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chalr. If he pa
zlopas [31]
The answer is $62.00

Explanation: If you take $48.50 times 6 you get $291 now subtract $291 from $663 you will have an answer of $372 that is how much the total of tables came to now divide 372 by 6 for the number of tables and you will be left with 62
7 0
3 years ago
which expression represents the amount of money john has collected? john collects $5 for club dues from each member.
Verdich [7]
5.00x (number of people)
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