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3 years ago

2/5 write two equivalent fraction

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

4 0

Answer:

4/10, 6/15, 8/40.

Step-by-step explanation:

Tems11 [23]3 years ago

3 0

Answer:

4/10, 40/100, 8/20

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Ermias and Jeremiah both leave the bookstore at the same time, but in opposite directions. If Jeremiah travels 8 mph faster than

leva [86]

Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Jeremiah travels 8 mph faster than Ermias, hence their velocities are:

x, x + 8

They travel in opposite directions, hence in one hour they are 2x + 8 apart.

In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:

8(2x +8) = 240

2x + 8 = 30

2x = 22

x = 11.

Then:

x = 11 -> Ermias.

x = 11 + 8 = 19 -> Jeremiah.

More can be learned about proportions at brainly.com/question/24372153

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2 years ago

Which equation represents a circle with the same radius as

sattari [20]

Answer :

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

Step-by-step explanation:

Given : A circle with the same radius as the circle shown but with a center at (-1.1).

To find : Which equation represents a circle ?

Solution :

The equation of a circle with center (h,k) and radius r is given by :

$(x-h)^2+(y-k)^2=r^2$

Here, we are given (h,k)=(-1,1)

and radius r=4 units

So, equation of circle will be :

$(x-(-1))^2+(y-1)^2=4^2$

$(x+1)^2+(y-1)^2=4^2$

or $(x+1)^2+(y-1)^2=16$

Therefore, the required equations of circle are

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

7 0

3 years ago

Drag and drop an answer to each box to correctly explain the derivation of the formula for the volume of a pyramid.

Vadim26 [7]

The volume of a pyramid is one-third the volume of a prism.

The formula for the volume of a pyramid is V = 1/3Bh

5 0

3 years ago

Read 2 more answers

An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The r

aleksandrvk [35]

To solve the question, we will be using a Venn Diagram. Let's list down what's given first:

855 drank alcohol

657 smoked cigarettes

192 used illegal drugs

418 both drank alcohol and smoked cigarettes

109 drank alcohol and used illegal drugs

116 smoked cigarettes and used illegal drugs

88 engaged in all three

and 251 engaged in none of these

We will draw a Venn Diagram with 3 circles, one for each vice. Then we will start with the intersection of all three and the area outside of the circles (for those who do not engage in vices).

Because we know how many engaged in all 3 vices, we can deduct that number from those who belong to the intersection of 2 vices since they have already been counted in that too.

418 - 88 = 330 drank and smoked, but not used drugs

109 - 88 = 21 drank and used drugs, but not smoked

116 - 88 = 28 smoked and used drugs but not drank

Then, we subtract the numbers in each circle from the total for each vice.

855 - (330 + 88 + 21) = 416 drank only

657 - (330 + 88 + 28) = 211 smoked only

192 - (88 + 21 + 28) = 55 used drugs only

To find the total number of surveyed students, we just need to add all the numbers in the Venn Diagram.

416 + 330 + 88 + 21 + 211 + 28 + 55 + 251 = 1,400

Therefore, there were 1,400 students who were surveyed.

3 0

1 year ago

The Carter Motor Company claims that its new sedan, the Libra, will average better than 31 miles per gallon in the city. Assumin

Nutka1998 [239]

Answer:

The null hypothesis $H_o : \mu = 31$

The alternative hypothesis $H_a : \mu > 31$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 31 \ miles / gallon$

Generally

The null hypothesis is that the company's new sedan, the Libra, will have an average of $\mu = 31 \ miles / gallon$

This mathematically represented as

The null hypothesis $H_o : \mu = 31$

The alternative hypothesis is that the company's new sedan, the Libra, will have an average better than $\mu = 31 \ miles / gallon$

This mathematically represented as

The alternative hypothesis $H_a : \mu > 31$

7 0

3 years ago