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arsen [322]
2 years ago
7

Which expression represents the distance between 4.7 and −11.2 on the number line? Drag and drop the correct expression into the

box.
Mathematics
1 answer:
Lana71 [14]2 years ago
5 0

Answer:

<h2>15.9</h2>

Step-by-step explanation:

\text{The formula of a distance between two points on a number line:}\\\\d=|a-b|\\\\\text{for}\ a\geq b:\ d=a-b\\=========================\\\\\text{We have}\ 4.7\ \text{and}\ -11.2.\ \text{Substitute:}\\\\d=4.7-(-11.2)=4.7+11.2=15.9

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A machine can stamp 75 caps per minute. At this rate how long will it take to stamp 3000?
Leya [2.2K]
<h2>Answer:</h2><h2>40 minutes</h2>

Step-by-step explanation:

75- caps ----------- 1 minute\\3000 caps ------------x - minutes\\\\Cross-Multiply\\75x = 3000 \times 1\\75x = 3000\\\frac{75}{75} =\frac{3000}{75} \\\\x = 40 minutes

6 0
2 years ago
Read 2 more answers
Crude oil Imports to one country from another for 2009-2013 could be approximated by the following model where t is time in year
Mashutka [201]

Answer:

  • Time = approximately mid 2012
  • Oil import rate = 3600 barrels

Step-by-step explanation:

<h3><em>Unclear part of the question</em></h3>
  • I(t) = −35t² + 800t − 1,000 thousand barrels per day (9 ≤ t ≤ 13)
  • According to the model, approximately when were oil imports to the country greatest?  t =  ?
<h3>Solution</h3>

Given the quadratic function  

  • <em>The vertex of a quadratic function is found by a formula: x = -b/2a</em>

<u>As per given function:</u>

  • b = 800, a = -35

<u>Then</u>

  • t = - 800/2*(-35) = 11.43 which is within given range of 9 ≤ t ≤ 13

This time is approximately mid 2012.

<u>Considering this in the function, to get oil import rate for the same time:</u>

  • l(11.43) = -35*(11.43)² + 800*11.43 - 1000 = 3571.4285

<u>Rounded to two significant figures, the greatest oil import rate was</u>:

  • 3600 barrels

7 0
2 years ago
Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8) ​
MaRussiya [10]

Answer:

7 units

Step-by-step explanation:

Distance between 2 points

=\sqrt{(y1 - y2)^{2}  + (x1 - x2) {}^{2} }

Thus, distance PQ

=\sqrt{(8 - 1)^{2}  + (7 - 7)^{2} }  \\ = \sqrt{7^{2} }  \\  = 7

Or you could simply take 8-1= 7 since both points have the same x-coordinate. Thus, PQ is a vertical line and the distance between them is due to the difference in their y-coordinate.

5 0
2 years ago
Which expression shows a way to find 20% of 950?<br> 950<br> 20<br> 20<br> What is it
Komok [63]
To find 20% of 950 you would set it up as a proportion. When doing percentages the prevent is always out of 100 so the first step would be 20/100. You are trying to find a number out of 950 so the second part would be ?/950. Now you want to cross multiply and divide. 20*950=19,000 then you divide it by 100 (your other number) 19,000/100=190. So 20% of 950 is 190.
3 0
2 years ago
It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impa
andreyandreev [35.5K]

Let us say that the procedure of completely filling up the pool with water is called “1 job”. Therefore the rates of the equipment in doing the job would be:

<span>Rate of handheld hose = 1 job / 8 minutes                  ---> 1</span>

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<span>Rate of the two combines = 1 job/ 5 minutes               ---> 3</span>

So we are to find the equation to use, in this case, we simply have to add equations 1 and 2 to get 3:

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Multiplying both sides by 5:

<span>(5 / 8) + 5 r = 1                                                               ---> ANSWER</span>

8 0
2 years ago
Read 2 more answers
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