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Anuta_ua [19.1K]
2 years ago
12

The average speed of a train that travels x in 3/4 hour

Mathematics
1 answer:
creativ13 [48]2 years ago
5 0

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Ans: (x/(3/4)) mph = (4x/3)mph = (4/3)x mph
------------------------
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A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f(n) represent the total annual
djverab [1.8K]
The total cost for video rental, f(n), is the sum of the membership fee and the cost of renting video game. The latter is the product of cost per video game times n video games. The correct equation used to represent the total cost is,
                          f(n) = 20 + 2n
Since the membership is increased by 15, the new equation is,
                          f(n) = 35 + 2n

4 0
3 years ago
Read 2 more answers
If CDE ~ GDF, find ED
qaws [65]

Answer:

10

Step-by-step explanation:

\triangle CDE \sim \triangle GDF.. (given) \\\\\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\\therefore  \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore   \: 15 \times 4 = (x + 3)(3x + 1) \\  \\ \therefore   \: 60 = 3 {x}^{2}  + x + 9x + 3 \\  \\ \therefore  3 {x}^{2}  + 10x + 3 - 60 = 0 \\ \therefore  3 {x}^{2}  + 10x  - 57 = 0 \\ \therefore  3 {x}^{2}  + 19x - 9x  - 57 = 0 \\ \therefore   \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore   \:  (3x + 19)(x - 3) = 0 \\ \therefore   \: 3x + 19 = 0 \:  \: or \:  \: x - 3 = 0 \\  \therefore   \: x =  -  \frac{19}{3}  \:  \: or \:  \: x = 3 \\  \because \: x \: can \: not \: be \:  - ve \\ \therefore   \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1  \\ \huge \red{ \boxed{ ED= 10}}

7 0
3 years ago
Find two integers whose sum is -20 and product is 99
Brums [2.3K]

Answer:

Step-by-step explanation:

let the integers be x and y

x+y=-20

y=-20-x

xy=99

x(-20-x)=99

-20x-x²=99

x²+20x+99=0

x²+11x+9x+99=0

x(x+11)+9(x+11)=0

(x+11)(x+9)=0

x=-11,-9

when x=-11

-11+y=-20

y=-20=11=-9

when x=-9

-9+y=-20

y=-20+9=-11

so integers  are -11,-9

8 0
2 years ago
Read 2 more answers
A warehouse worker fills 150 orders per day on average. From day to day, the number of orders varies by 2%. What is the range of
choli [55]

Answer:

The range is from 147 to 153 orders per day

Step-by-step explanation:

orders varies by 2% means that orders can be LOWER THAN THE AVERAGE, or HIGHER THAN THE AVERAGE.

That is, by 2%.

First, we need to find the decimal of 2%, so

2/100 = 0.02

We multiply this with the average number of order, 150, to get the varying amount:

0.02 * 150 = 3

Thus, the range would be:

150 - 3 = 147

150 + 3 = 153

The range is from 147 to 153 orders per day

5 0
3 years ago
Regina spent $45.50 over 612 months on music downloads.
krok68 [10]

Answer:

.07 cents

Step-by-step explanation:

In order to solve this question all you need to do is divide the money spent by the amount of months. 45.50/612=0.0743464052 but since you cant spend .0043464052 of a cent we have to change the answer to .07. To check our answer is right all we need to do is multiply 0.0743464052 by 612=45.499999 so we know the answer is correct.

7 0
3 years ago
Read 2 more answers
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