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tensa zangetsu [6.8K]
3 years ago
13

Evelyn saves 40% of her earnings for college. This year, she earned $200 more than last

Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

$ 2,050

Step-by-step explanation:

Earnings last year : x

0.4(x + 200) = 900

(x + 200) =900/0.4

x + 200 = 2250

x = 2250 - 200

x = $2,050

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The sum of two numbers is -6. The difference is 16. Find the two numbers.
Bess [88]

Answer:

-5\:\mathrm{and}\: 11

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}x+y=6\\x-y=16\\\end{cases}

Adding both equations together, we isolate x and get:

2x=22,\: x=11

Plugging x=11 in any of the equations, we can solve for y:

11+y=6,\: y=-5

Verify that the solution pair (11, -5) works \checkmark

Therefore, the two numbers are \fbox{$-5\:\mathrm{and}\: 11$}.

7 0
3 years ago
Gloria's pontoon boat holds 24 gallons of gas.
Darya [45]

Answer:

ok so if the girl added 13 gallons of gas 11 gallons were already there, if 14 gallons then 10 gallons were there, if 13,4 then 10,6 gallons were already there

7 0
3 years ago
Please help<br><br> y = -2/3
Arisa [49]

Answer: straight line across on the y axis on -2/3

Step-by-step explanation:


6 0
2 years ago
What is the slope of a line that goes through 0,0 and 5,-1
djyliett [7]

Answer:

  slope = -1/5

Step-by-step explanation:

The slope of a line between two points is ...

  slope = (change in y)/(change in x)

  = (-1 -0)/(5 -0) = -1/5

The slope of the line is -1/5.

3 0
3 years ago
Some number was divided into 104.13. This quotient was multiplied by 4, after which the resulting product was added to 5. Given
SVEN [57.7K]

Answer:

The initial number is <u>-1218.321</u>.

Step-by-step explanation:

Let the initial number be 'x'.

The number 'x' is divided into 104.13.

So, we divide the number 'x' by 104.13. This gives,

\dfrac{x}{104.13}

Now, the quotient is multiplied by 4. So, this means we need to multiply 4 to the fraction above. This gives,

\dfrac{x}{104.13}\times 4\\\\\frac{4x}{104.13}

Now, 5 is added to the result. This gives,

\frac{4x}{104.13}+5

Now, as per question:

\frac{4x}{104.13}+5=-41.8

Now, solving for 'x', we add -5 both sides. This gives,

\frac{4x}{104.13}+5-5=-41.8-5\\\\\frac{4x}{104.13}=-46.8\\\\4x=-46.8\times 104.13\\\\4x=-4873.284\\\\x=\frac{-4873.284}{4}=-1218.321

Therefore, the initial number is -1218.321.

6 0
3 years ago
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