All categories

3 years ago

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

You might be interested in

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