All categories

1 year ago

Gilbert use 1/4 of paint from a 8 gallon container to paint the garage. how much paint in gallons are left in the container?

Mathematics

1 answer:

natulia [17]1 year ago

8 0

Total paint = 8 gallons

Used up amount = 1/4th gallon

The amount left, is the difference between the two.

That would be 1/4th subtracted from 8.

Or,

$8-\frac{1}{4}$

Taking common denominator, we solve:

$\begin{gathered} 8-\frac{1}{4} \\ =\frac{8(4)-1}{4} \\ =\frac{32-1}{4} \\ =\frac{31}{4} \\ =7\frac{3}{4}\text{ gallons} \end{gathered}$

You might be interested in

I don't know how to do this please help

postnew [5]

The answer is 18.8
Just divide 94/5

6 0

3 years ago

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 99.

8090 [49]

Answer:

An adult ticket is 17

A childs ticket costs 12 dollars

Step-by-step explanation:

Let a = adult price

c = child price

3a + 4c = 99

2a + 3c = 70

Multiply the first equation by 2

2(3a + 4c) = 99*2

6a + 8c = 198

Multiply the second equation by -3

-3 (2a + 3c) = 70*-3

-6a -9c = -210

Add these new equations together

6a + 8c = 198

-6a -9c = -210

----------------------

-c = -12

Multiply by -1

c = 12

A childs ticket costs 12 dollars

Now we need to find the price of an adult ticket

2a + 3c = 70

2a + 3(12) = 70

2a +36 = 70

Subtract 36 from each side

2a +36-36 =70-36

2a = 34

Divide by 2

2a/2 = 34/2

a = 17

An adult ticket is 17

7 0

3 years ago

I really need help on themis math!!!!!!!!!!

cluponka [151]

Midpoint formula is M=( (x1+x²)/2 , (y1+y²)/2 )
let A be there point (x1,y1), our (2,3)

plug into the formula to get

(-2,1)=( (2+x²)/2, (3+y2)/2 )
so -2=(2+x2)/2 and 1=(3+y2)/2

x2=-6 and y2=-1
answer is B

7 0

3 years ago

Solve for y. ln(y-1)-ln2=x+ln x

alexandr402 [8]

$ln(y - 1) - ln(2) = x + ln(x)$
$e^{ln(y - 1) - ln(2)} = e^{x + ln(x)}$
$\frac{e^{ln(y - 1)}}{e^{ln(2)}} = e^{x} * e^{ln(x)}$
$\frac{y - 1}{2} = e^{x} * x$
$\frac{1}{2}y - \frac{1}{2} = xe^{x}$
$2(\frac{1}{2}y - \frac{1}{2}) = 2xe^{x}$
$y - 1 = 2xe^{x}$
$y = 2xe^{x} + 1$

3 0

3 years ago

If the 10th of the 10 consecutive numbers is 10, what is their sum?

liq [111]

Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number. x+9 = 10, so x = 9.

Think of it this way: there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55 (answer)

7 0

3 years ago