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1 year ago

A coffee pot holds 2quarts of coffee. How much is this in cups

Mathematics

1 answer:

Kobotan [32]1 year ago

3 0

Answer:

8 cups

Step-by-step explanation:

1 quart = 4 cups

2 quarts = x cups

x = # of cups

$\large \textsf{$\dfrac{1}{2}$} = \large \textsf{$\dfrac{4}{x}$} \implies \normalsize \textsf{cross multiply}\\\\\large \textsf {$x$ = 8}$

Therefore, there are 8 cups in 2 quarts.

Hope this helps!

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Is the quotient of<br> (-5) ➗ (-7) a rational number? Explain your answer in two or more sentences.

ValentinkaMS [17]

-5/-7 = 5/7 = 0.71428577142857... The decimal form of the fraction never ends, so 5/7 is not a rational number

3 0

3 years ago

Read 2 more answers

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

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2 years ago

If 400 bricks measuring 81" by 31" are required to build a wall 42 ft. high, how long is the wall

musickatia [10]

Idek lol but yeah have a good day

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2 years ago

Which of the following best describe the term definition

Mars2501 [29]

I would say it’s c.
D is wrong cause definitions are proven right all the time.
B is wrong because a definition is not an arrangement of deductions
A is wrong because it says that the statement is not defined when it is.

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3 years ago

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a delivery truck is carrying and 8713 lb load of pet food. At a weighing station, the loaded truck weighs 17200 lb. What is the

netineya [11]

We know that the load is 8713 lbs.

The total weight (truck + load) is 17200 lb.

Then, we can calculate the weight of the empty truck as:

$\begin{gathered} L=8713 \\ W=L+T=17200 \\ \Rightarrow T=W-L \\ T=17200-L=17200-8713=8487 \\ \end{gathered}$

Answer: the empty truck's weight is 8487 lb.

T: empty truck's weight

W: total weight (loaded truck's weight)

L: Load

The equation is:

T = W - L

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1 year ago