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Ksivusya [100]
3 years ago
15

The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

r number. Find the two numbers.
Mathematics
1 answer:
yuradex [85]3 years ago
8 0

Answer:


Step-by-step explanation:

Let x be the greater number and y be the smaller number. We know that their difference is 15, so we have

x-y=15

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

2x+8 = 3y-4 \iff 2x-3y = -12

So, we have the follwing system:

\begin{cases} x-y=15\\2x-3y = -12\end{cases}

From the first equation, we can derive x = y+15, and substitute this expression in the second equation to get

2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42

Substitute this value for y in the first equation to get

x-42=15 \iff x=15+42 \iff x = 57

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Use what you know about decomposing fractions to write 11/10 as a mixed number
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Answer:

11/10 as a mixed number is 1 and 1/10

Step-by-step explanation:

10 out of 10 is 1 but there is still another tenth that needs to be added so it is 1 and one tenth.

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3 years ago
A cashier at carter's cafeteria can total an average of 2.2 trays per minute. the probability that the cashier will total betwee
anzhelika [568]
<span>A cashier at Carter's cafeteria can total an average of 2.2 trays per minute. the probability that the cashier will total between four and ten trays in a minute is: </span><span>0.1082</span>
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3 years ago
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Which statement is true about the product (9x2 – 4y2)(3x – 2y)?
nirvana33 [79]

Answer:

It's the last choice.

Step-by-step explanation:

1.  (3x - 2y)(3x -2y)

= 9x^2 - 12xy + 4y^2

The product is  (9x^2 - 4y^2) (9x^2 - 12xy + 4y^2)

which is neither a  difference of 2 squares  or perfect square trinomial.

2.  (3x - 2y)(3x + 2y)

= 9x^2 - 6xy + 6xy - 4y^2

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6 0
3 years ago
As compared to its first year of operation, ABC Company grew 8% in the second year and an additional 2% per year for the next tw
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<span>First year sale = 150 000 dollars,
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4 0
3 years ago
Deane is flying to a destination that is 2745 miles away. The plane's average speed is 450 mph. Write the slope-intercept form o
Dmitriy789 [7]
The equation in y = mx+b form is y = -450x+2745

where,
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y = distance to destination in miles

The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.

The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450
8 0
3 years ago
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