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3 years ago

12

George has $23 to spend on Art supplies. He wants to buy markers,paper,and glue. If the total cost of the markets and paper is m

ore than $14, write an inequality that represents the dollar amount,p, George can spend on glue.

1 answer:

arlik [135]3 years ago

3 0

23 <span>≥ p > 14 and p represents the amount of money to spend

</span>

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PLEASE ANSWER. the question and the options r in the picture.

just olya [345]

Answer:

the answer is 5 got it right on quiz

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2 years ago

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Please help with Math :) Thanks!

algol [13]

Last choice the area becomes 25 times greater

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3 years ago

a cone with a radius of 3” has a total area of 24pie square inches. Find the volume of the cone. 12pie, 24 pie or 15 pie

Ratling [72]

Answer:

$12\pi (inches)^{2}$

Step-by-step explanation:

Given:

radius of cone = 3 inch

Total area of cone = $24\pi (inch)^{2}$

Find the volume of the cone?

We know the area of cone = $\pi r(r+s)$ -------(1)

Where r = radius

Ans s = side of the cone

Put the area value in equation 1

$24\pi=\pi r(r+s)$ -------(1)

$\frac{24\pi }{\pi r} =r+s$

$\frac{24}{ r}-r =s$

Put r value in above equation.

$s =\frac{24}{ 3}-3$

$s=8-3$

$s=5$

The side s = 5 inches

We know the side of the cone formula

$s^{2}=r^{2}+ h^{2}$

$h^{2}=s^{2}- r^{2}$

Put r and s value in above equation.

$h^{2}=5^{2}- 3^{2}$

$r^{2} = 25-9$

$r^{2} = 16$

$r = 4$

The volume of cone is

$V = \frac{1}{3} \pi r^{2} h$

Put r and h value in above equation.

$V = \frac{1}{3} \pi (3)^{2}\times 4$

$V = 12\pi (inches)^{2}$

The Volume of the cone is $12\pi (inches)^{2}$

7 0

3 years ago

A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15

Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

.

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

$A= P(1+\frac{r}{n})^{nt}$

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

$A= P(1+\frac{r}{n})^{nt}$

$1500= 1200(1+\frac{0.02}{4})^{4t}$

Dividing both sides by 1200 and solving 0.02/4 = 0.005

$1.25= (1+0.005)^{4t}$

$1.25= (1.005)^{4t}$

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

$\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years$

8 0

3 years ago

Write a division number story with an answer of 3/5

katrin [286]

Peter has 4 friends. He invited them to his home. He ordered a pizza of his favorite and made it into 5 slices.

Few minutes later, one of his friends Smith came and they enjoyed one slice of pizza each.

Now, the question is what portion of the pizza left for his remaining friends?

Answer :

Peter made the pizza into 5 pieces.

So, $1=\frac{5}{5}$

Peter and Smith had $\frac{1}{5}$ th of the pizza each.

So, the remaining portion = $\frac{5}{5} -(\frac{1}{5}+\frac{1}{5})$

$=\frac{5}{5} -\frac{2}{5}$

$=\frac{3}{5}$

8 0

3 years ago