All categories

3 years ago

Write an inequality for x that would give this rectangle a perimeter of at least 300 ft

Mathematics

1 answer:

Greeley [361]3 years ago

3 0

Answer:

Good Luck!

Follow me

david_201822

Step-by-step explanation:

P≥300

300≤P

P=2(L+W)

300≤2(L+W)

L=3

W=x+5

300≤2(3+x+5)

300≤2(8+x)

divide both sides by 2

150≤8+x

minus 8 both sides

142≤x

x is at least 142

width is at least 147

You might be interested in

okay what is the ratio of 6 cups rolled oats to cups mixed nuts 1/2 cup sesame seeds one cup dried cranberries one cup of dried

myrzilka [38]

Answer:

he ratio of cups of mixed nuts to cups of granola is 1/12

Step-by-step explanation:

4 0

3 years ago

(8,15) (-14,-3) find the slope

ss7ja [257]

The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11

5 0

3 years ago

Combine and simplify these radicals ⇒ √3 . √16

Alja [10]

Answer:

Answer is D

Step-by-step explanation:

You have to simplify first.

$\sqrt{} 16 = \sqrt{} 4 . \sqrt{} 4$

$\sqrt3 . \sqrt4 . \sqrt4 = 4\sqrt3$

3 0

3 years ago

According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64

Veseljchak [2.6K]

Answer:

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

$P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068$

Republican and from a household that makes at least $50,000.

55% of 64%. So

$P(A \cap B) = 0.55*0.64 = 0.352$

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946$

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

4 0

3 years ago

I need help with these two please :’)

tatiyna

Answer:

59)

Therefore the height of the pyramid is 14 meter.

60)

Therefore the Diameter of Cone is 17.32 cm.

Step-by-step explanation:

59 )

Given:

Shape is Rectangular Pyramid,

Length = 3 meter

Width = 8 meter

Volume of Rectangular Pyramid = 112 cubic meter

To Find:

Height:

Solution:

We Know,

$\textrm{Volume of Rectangular Pyramid}=\frac{1}{3}(Length\times Width\times Height)$

Substituting the given values we have

$112=\frac{1}{3}(3\times 8\times Height)\\ \\\therefore Height=\frac{336}{24}\\\\\therefore Height=14\ meter\\$

Therefore the height of the pyramid is 14 meter.

60 )

Thee shape is of Cone

Given:

Height= 5 cm

Volume of cone = 125 π cm³

To Find:

Diameter of a cone = d = ?

Solution:

We know,

$\textrm{Volume of cone}=\frac{1}{12}\pi (Diameter) ^{2}\times Height$

Substituting the given values we have

$125\pi =\frac{1}{12}\pi d^{2}\times 5\\ \\d^{2}=25\times 12\\ \\d^{2}=300\\\\d=17.32\\ \therefore Diameter = 17.32\ cm$

Therefore the Diameter of Cone is 17.32 cm.

6 0

3 years ago