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3 years ago

A rectangular poster has an area of 26 square feet. It is 4 1/3 feet wide at it's base. What is the height of the poster?

Mathematics

1 answer:

Alexandra [31]3 years ago

8 0

Answer:

6 square feet

Step-by-step explanation:

Area = L * w

26 = L * 4 1/3

26 = L * 13/3

L = 26 divided by 13/3

L = 26 * 3/13 = 6

answer = 6

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What is the volume of the sphere below?

lbvjy [14]

Answer:

Option C

Step-by-step explanation:

sorry if I'm wrong..

4 0

3 years ago

Linear Inequality

Oksanka [162]

Answer:

Step-by-step explanation:

Temporarily substitute the = symbol in this given inequality: 3x - 4y = 8.

Now pick 2 or 3 y values and find the corresponding x value for each:

If y = 2, 3x - 4(2) = 8, so that 3x = 16 and x = 16/3. Thus, one point on the graph is (16/3, 2).

If y = 0, 3x - 4(0) = 8, and so 3x = 8, or x = 8/3. Another point on the graph is (8/3, 0).

Now plot these two points (8/3, 0) and (16/3, 2), and draw a solid line through them (because " ≥ " includes an " = " sign).

Finally, invent a 3rd point that is NOT on this solid line. Substitute the x- and y- coordinates into the original inquality 3x - 4y ≥ 8. Two possible outcomes are: a) The inequality is true. All solutions are on this side of the solid line you drew. Shade that side of the line. b) The inequality is false. Do NOT shade that side of the line.

Note: an easier way of graphing the solid line is described as follows:

Let x = 0 and find y: 3(0) - 4y = 8, so that y = -2 and a point on the line is (0, -2).

Then let y = 0 and find x: 3x = 8, or x = 8/3 and this corresponds to the point (8/3, 0) on the line.

8 0

3 years ago

Read 2 more answers

What is the <br> GCF of 4 and 3?

natta225 [31]

Answer:

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

A man invests his savings in two accounts ,one paying6% and the other paying 10% simple interest per year. He puts twice as much

AnnyKZ [126]

Answer: he invested $46062.5 at 6% and $23031.25 at 10%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 6% interest.

Let y represent the amount which he invested in the account paying 10% interest.

He puts twice as much in the lower-yielding account because it is less risky.. This means that

x = 2y

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 6% interest,

P = $x

T = 1 year

R = 6℅

I = (x × 6 × 1)/100 = 0.06x

Considering the account paying 10% interest,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

His annual interest is $7370dollars. it means that

0.06x + 0.2y = 7370 - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.06 × 2y + 0.2y = 7370

0.12y + 0.2y = 7370

0.32y = 7370

y = 7370/0.32

y = $23031.25

x = 2 × 23031.25

x = 46062.5

6 0

3 years ago

Tom and Shirley, working together can mow the lawn in 6 hours working alone Shirley takes three times as long as Tom how long do

olchik [2.2K]

Answer:

It would take Tom 8 hours alone

Step-by-step explanation:

We are looking at this basic equation:

Tom + Shirley = 8 hours

Tom takes x hours to cut the grass; this means that 1/x of the job gets done in 1 hour

It takes Shirley 3 times as long as Tom, so it takes her 3x hours to cut the grass; this means that 1/3x of the job gets done in 1 hour

If the total number of hours it takes them to do the job is 6 hours; this means that 1/6 of the job gets done in 1 hour

Looking back at the original basic equation, we will fill in our info:

$\frac{1}{x}+\frac{1}{3x}=\frac{1}{6}$

We can solve for x by first finding the LCD and eliminating the denominators. The LCD is 6x, since all the denominators go into 6x evenly.

We will multiply the rational equation through by the LCD:

$6x[\frac{1}{x}+\frac{1}{3x}=\frac{1}{6}]$

Dividing each denominator into the LCD gives us:

6 + 2 = x so

x = 8

This means that it takes Tom 8 hours to do the job alone. It would take Shirley 24 hours alone. Ugh.

8 0

4 years ago