All categories

3 years ago

Mateo is making 2Gallons of fruit punch. How many pints of fruit punch is he making

Mathematics

2 answers:

bearhunter [10]3 years ago

6 0

16 pints because 1 gallon is 8 pints and 2x8=16

Sever21 [200]3 years ago

5 0

1 gallon = 8 pints
so if we times that by 2
we get 16
so 16 pints is your answer

You might be interested in

at a dog park, there are 12 golden retrievers and 20 poodles . what is the ratio of golden retrievers to poodles

EleoNora [17]

Golden retrievers: 12/32
poodles: 20/32
does it need to be simplified?

7 0

3 years ago

Read 2 more answers

Two problems here I need solved! I need every step, so please have that with your answers!!

Free_Kalibri [48]

QUESTION 1

We want to solve,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}$

We factor the denominator of the fraction on the right hand side to get,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.$

This implies
$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.$

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}$

We multiply through by LCM of
$(x-4)(x - 2)$

$(x - 2) + x(x-4) = 2$

We expand to get,

$x - 2 + {x}^{2} - 4x= 2$

We group like terms and equate everything to zero,

${x}^{2} + x - 4x - 2 - 2 = 0$

We split the middle term,

${x}^{2} + - 3x - 4 = 0$

We factor to get,

${x}^{2} + x - 4x- 4 = 0$

$x(x + 1) - 4(x + 1) = 0$

$(x + 1)(x - 4) = 0$

$x + 1 = 0 \: or \: x - 4 = 0$

$x = - 1 \: or \: x = 4$

But
$x = 4$
is not in the domain of the given equation.

It is an extraneous solution.

$\therefore \: x = - 1$
is the only solution.

QUESTION 2

$\sqrt{x+11} -x=-1$

We add x to both sides,

$\sqrt{x+11} =x-1$

We square both sides,

$x + 11 = (x - 1)^{2}$

We expand to get,

$x + 11 = {x}^{2} - 2x + 1$

This implies,

${x}^{2} - 3x - 10 = 0$

We solve this quadratic equation by factorization,

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x + 2)(x - 5) = 0$

$x + 2 = 0 \: or \: x - 5 = 0$

$x = - 2 \: or \: x = 5$

But
$x = - 2$
is an extraneous solution

$\therefore \: x = 5$

7 0

4 years ago

How to borrow if you can't subtract from the lowest number on top

Elis [28]

Go to the number next to the one you cannot subtract from, take one away, and add a one in front of the number you cannot subtract from. e.g.
27 1(1)7 the answer would be 9
-8 -8

for your problem the answer would be 1109

6 0

3 years ago

Read 2 more answers

2. Simplify the following problem using the distributive property: 2x+3y+2(x-y)-3x . Show each step in your calculation. Justify

sergeinik [125]

Multiply everything in the parenthesis by 2.

2x + 3y + 2x - 2y - 3x

Combine like terms.

x + y

Hope this helps!

8 0

3 years ago

Read 2 more answers

The slope please. it must be one of the four options.

Mazyrski [523]

The answer to the question is a

3 0

4 years ago