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Mathematics

1 answer:

scZoUnD [109]3 years ago

8 0

Answer:

The unit rate is accurately $\frac{1}{4}$ (km/minute)

Step-by-step explanation:

(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.

The unit rate for this problem is also known as the speed of the vehicle.

So to find the speed, you need to use distance over time.

---> Unit rate: $\frac{1}{4}\\$ / 1 = $\frac{1}{4}$ (km/minute)

(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.

Same process:

---> Unit rate: $\frac{1}{2}$ / 2 =

Because of this, the unit rate is accurately $\frac{1}{4}$ (km/minute)

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A rectangular field has an area of 1764 square meters. The width of the field is 13 meters more than the length. What is the per

sveticcg [70]

Answer:

170m

Step-by-step explanation:

The answer to the above question is letter d which is 170 m. To get the 170 m, kindly check the below solution:

x^2 + 13x = 1764 so x = -49 and 36, we take 36 as its the positive value. And the other side is 49. Now use 2(l+b) to find perimeter. You get (36+49)*2 = 170

4 0

3 years ago

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$