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3 years ago

In 3 months John collected a debt of $70.00. What was the average amount of debt John collected per month?

Mathematics

1 answer:

Shalnov [3]3 years ago

7 0

Answer:

$23

Step-by-step

Johns debt is 70.00 dollars in 3 months. 70 divided by 3 is 23.

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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu

-BARSIC- [3]

Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

$x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9$

The digits X and Y are 3 and 9, so the original number is 39.

8 0

3 years ago

How does the function g(x)= - (x - 1) compare to the parent function f(x) = x ?

grandymaker [24]

Reflection across x axis and move 1 unit to the right

3 0

3 years ago

-10-9-8-7 -6 -5 -4 -3

jek_recluse [69]

Answer:

I think its D

Step-by-step explanation:

The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)

8 0

2 years ago

write the equation in slope intercept form for the line that passes through (-2,2) and is parallel to 2x+4y=16

ratelena [41]

Answer:

<h3>Step 1 - Find the gradient of 2x + 4y = 16</h3>

2x + 4y = 16

4y = 16 - 2x

y = 4 - 1/2x

gradient = -1/2

<h3>Step 2 - Find the Equation</h3>

y - y1 = m(x - x1)

m = gradient, (x1, y1) = (-2,2)

y - 2 = -1/2 (x + 2)

y - 2 = -1/2x - 1

y = -1/2x + 1 → ANSWER

Hope it helps!

7 0

2 years ago

Ann, Chang, and Kareem sent a total of

Gnoma [55]

It is given in the question that

Ann, Chang, and Kareem sent a total of 89 text messages over their cell phones during the weekend. Ann sent 9 fewer messages than Chang. Kareem sent 3 times as many messages as Ann.

Let number of messages Chang sent be x. And Ann sent 9 fewer than Chang, so Ann sent (x-9) messages. And Kareem sent 3 times as many messages as Ann, so Kareem sent 3(x-9) messages.

And the total messages are 89. That is

$x+x-9+3(x-9)=89$

Combining like terms

$x + x - 9 + 3x-27 =89
\\
5x -36=89
\\
5x = 125
\\
x =25$

So Chang sent 25 messages, Ann sent

$25-9=16 messages$

And Kareem sent

$3*16 = 48 messages$

8 0

3 years ago