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Illusion [34]
1 year ago
15

a plane is flying at a speed of 200 miles per hour. the pilot plans on flying at this speed for the next 225 miles, plus or minu

s 50 miles. find the minimum and maximum number of hours the plane will travel at the speed
Mathematics
1 answer:
harina [27]1 year ago
4 0

The minimum and maximum number of hours the plane will travel at that speed are; at least 0.875 hours and at most 1.375 hours

<h3>How to Solve Absolute Value Inequality?</h3>

We are given that the speed of the plane is 200 miles per hour.

Now, formula for time taken is;

Time = Distance/Speed

If the speed is 225 ± 50 miles, then it means that;

Maximum distance = 275 miles

Minimum distance = 175 miles

Thus, we can say that;

Minimum number of hours = 275/200 = 1.375 hours

Maximum number of hours = 175/200 = 0.875 hours

Read more about Absolute Value Inequality at; brainly.com/question/13282457

#SPJ1

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What is the scale factor of triangle ABC to triangle DEF?
8_murik_8 [283]

Answer:

Second option, scale factor is 2.5

Step-by-step explanation:

We see that ∠B ≅ ∠E and ∠C ≅ ∠F, therefore, ΔABC ~ ΔDEF by the AA Similarity for Triangles Theorem which states that if two pairs of corresponding angles are congruent in two triangles, then those two triangles are similar. To find the scale factor, all we have to do is DF / AC = 5/2 or 2.5.

5 0
3 years ago
At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon
Alexxx [7]

Answer:

p=0.60w

Step-by-step explanation:

Let

p ----> the price of a watermelon in dollars

w ---> the weight of a watermelon in pounds

In this problem we have a proportional relationship

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

p=kw

The value of the constant of proportionality k is the same that the unit rate

Find out the unit rate

Divide the total cost by the total weight

k=\frac{4.38}{7.3}=\$0.60\ per\ pound

substitute in the equation

p=0.60w

7 0
3 years ago
Please help . I’ll mark you as brainliest if correct
Oxana [17]

Answer:

30m

Step-by-step explanation:

51-21=30 that is the length of the long piece

8 0
2 years ago
How many years is tween 1844 to2015
STatiana [176]
To find the number of years between 1844 to 2015 you have to subtract.

Lets say that x is the # of years in between 1844 and 2015

Then we have:
\sf{2015 - 1844 =x}

After doing the subtraction using a calculator or a pencil and paper, you get that:

\huge{\boxed{\bf{x=171}}}

So 171 years have passed from 1844 to reach to 2015.
4 0
3 years ago
Read 2 more answers
Point b is the midpoint of ac-. if ab= 4x+2 and ac=10x-6, find the length of ac
Natasha2012 [34]

let's bear in mind that B is the midpoint and thus it cuts a segment into two equal halves.

\bf \underset{\leftarrow \qquad \textit{\large 10x-6}\qquad \to }{\boxed{A}\stackrel{4x+2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{\underline{4x+2}}{\rule[0.35em]{10em}{0.25pt}\boxed{C}}} \\\\\\ AC=AB+BC\implies 10x-6=(4x+2)+(4x+2)\implies 10x-6=8x+4 \\\\\\ 2x-6=4\implies 2x=10\implies x=\cfrac{10}{2}\implies x= 5 \\\\[-0.35em] ~\dotfill\\\\ AC=(4x+2)+(4x+2)\implies AC=[4(5)+2]+[4(5)+2] \\\\\\ AC=22+22\implies AC=44

3 0
3 years ago
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