What is the value of x2 + 2y ÷ 2w + 3z for w = 2, x = 5, y = 8, and z = 3?

Randy made 5 liters of punch for his party. His friends drank 4,500 mL. How many milliliters are left at the end of the party?

sashaice [31]

Answer:

There are 500 mL left at the end of the party.

Step-by-step explanation:

1 L = 1,000 mL

Therefore, 5,000 - 4,500 = 500.

<3

5 0

2 years ago

Rebecca measured herself and she was 52 in tall how many feet tall was she

Drupady [299]

Hi there!☺

52 inches in feet would be about 4.3 feet.

~Elisabeth

8 0

2 years ago

Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank

s344n2d4d5 [400]

formula is $A=P(1-\frac{r}{n})^{nt}$

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years

we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12

remember that $ln(x^a)=a(ln(x))$

also that $(a^b)^c=a^{bc}$

$2(5745)=5745(1+\frac{0.065}{12})^{12t}$ , solving for t

divide both sides by 5745 to simplify things a bit

$2=(1+\frac{0.065}{12})^{12t}$ I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

$2=(\frac{12.065}{12})^{12t}$

take ln of both sides

$ln(2)=ln((\frac{12.065}{12})^{12t})$

$ln(2)=(12t)ln(\frac{12.065}{12})$

divide both sides by $12ln(\frac{12.065}{12})$

$\frac{ln(2)}{12ln(\frac{12.065}{12})}=t$

using our calculator, t≈10.6927

so rounded, we get 10.7 years

3 0

2 years ago

List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR order

hoa [83]

Answer:

The coordinates of the vertices are;

(200, 200), (300, 200), (300, 0), (0, 500)

Step-by-step explanation:

The vertices are the corners of a polygon. It is the point where an angle is formed by the intersection of two lines

The feasible region is the solution space of the points of the variables that meet the specification of the problem set by means of a constant or the definition of inequalities or equations

From the graph of the function of inequalities, we have that the four vertices are the four points where the lines bounding the area of the feasible region of the inequalities meet

The coordinates of the vertices are (200, 200), (300, 200), (300, 0), (0, 500).

4 0

2 years ago

a 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. how many containers of sugar will the 9 pound ba

LUCKY_DIMON [66]

Namely, how many times does 2/3 go into 9?

well

$\bf 9 \div \frac{2}{3}\implies \cfrac{9}{\frac{2}{3}}\implies \cfrac{\quad \frac{9}{1}\quad }{\frac{2}{3}}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}
\\\\\\
\textit{2 goes \underline{13 times} into 27, with a \underline{remainder of 1}}\implies 13\frac{1}{2}$

3 0

2 years ago