All categories

2 years ago

Erick’s dog house has an area of 15 feet. What is the perimeter of the house

1 answer:

7 0

We can assume that Erick’s dog house has a perimeter of 3.75, but then again we don’t know the shape of the doghouse (rectangle, square, etc.). If the doghouse is a square,3.75 on each side (4 sides) because 3.75(4) equals to 15

You might be interested in

What is the volume of a sphere with a radius of 6in? Round to the nearest hundredth. Remember V = 4/3πr3 * 20 points 457.86 inch

kakasveta [241]

Given:

The radius of the sphere is 6 in.

To find:

The volume of the sphere.

Solution:

We know that, the volume of a sphere is

$V=\dfrac{4}{3}\pi r^3$

Where, r is the radius of the sphere.

Putting r=6, we get

$V=\dfrac{4}{3}\pi (6)^3$

$V=\dfrac{4}{3}\pi (216)$

$V=288\pi$

$V\approx 904.78$

The volume of the sphere is 904.78 inches cubed.

Therefore, the correct option is C.

7 0

3 years ago

A chemist wishes to mix a solution that is 6% acid. She has on hand 14 liters of a 4% acid solution and wishes to add some 10% a

jonny [76]

she should add 7 liters of 10% acid solution

Explanation

Step 1

set the equation:

a) let X represents the amount os solution that is 4% acid

let Y represents the amount os solution that is 10% acid

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(x+y) \\ \end{gathered}$

if he has 14 liters of 4% acid solution

$x=14$

$\begin{gathered} \frac{4}{100}X+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ \frac{4}{100}*14+\frac{10}{100}Y=\frac{6}{100}(X+Y) \\ 0.56+0.1Y=0.06(14+Y) \\ 0.56+0.1Y=0.84+0.06Y \\ \end{gathered}$

Step 2

solve the equation :

$\begin{gathered} 0.56+0.1Y=0.84+0.06Y \\ subtract\text{ 0.06Y in both sides} \\ 0.56+0.1Y-0.06Y=0.84+0.06Y-0.06Y \\ 0.56+0.04Y=0.84 \\ subtract\text{ 0.56 in both sides} \\ 0.56+0.04Y-0.56=0.84-0.56 \\ 0.04Y=0.28 \\ divide\text{ both sides by 0.04} \\ \frac{0.04Y}{0.04}=\frac{0.28}{0.04} \\ Y=7 \end{gathered}$

therefore,

she should add 7 liters of 10% acid solution

I hope this helps you

8 0

1 year ago

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

jasenka [17]

Answer:

The minimum score of those who received C's is 67.39.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 73, \sigma = 11$

If 69.5 percent of the students received grades of C or better, what is the minimum score of those who received C's?

This is X when Z has a pvalue of 1-0.695 = 0.305. So it is X when Z = -0.51.

$Z = \frac{X - \mu}{\sigma}$

$-0.51 = \frac{X - 73}{11}$

$X - 73 = -0.51*11$

$X = 67.39$

The minimum score of those who received C's is 67.39.

7 0

3 years ago

What is 2x + 4 < 16

harina [27]

Answer:

x<6 just letting you know that / is not meant for division it means a fraction bar

Step-by-step explanation:

1. Group all constants on the right side of the inequality

2x+4<16

Subtract from both sides

(2x+4)-4<16-4

Simplify the arithmetic

2x<16-4

Simplify the arithmetic

2x<12

2. Isolate the x

2x<12

Divide both sides by 2

(2x)/2<12/2

Simplify the fraction

x<12/2

Find the greatest common factor of the numerator and denominator

x<6*2/1*2

Factor out and cancel the greatest common factor

x<6

3. Solution on a coordinate plane

Solution: x<6

Interval notation:

(-∞,6)

7 0

1 year ago

you can buy 5 cans of green beans at a supermarket for $3.40. how much does it cost to buy 35 cans of green beans

Licemer1 [7]

Answer:

$23.80

Step-by-step explanation:

Divide 35 by 5: 35 ÷ 5 = 7
Multiply $3.40 by 7: $3.40 • 7 = $23.80

3 0

2 years ago

Read 2 more answers