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monitta
3 years ago
11

Joseph served 18 customers in 42 minutes. Approximately how many customers would he serve in 2 hours if he continued at this rat

e?
Mathematics
1 answer:
zhenek [66]3 years ago
8 0
Okay so if he serves 18 customers in 42 minutes divide 18 by 42 and you get the amount of customers he serves per min which is 0.42857413 then multiply that by 120 since 2 hours add up to 120 minutes and you get 51.43
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Yin wants to create figure Y′ that is similar to figure Y. Yin begins by reflecting figure Y across the y-axis.
Sholpan [36]

Answer: B) Dilate by scale factor of 2

====================================================

Explanation:

Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.

If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.

Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.

3 0
3 years ago
Read 2 more answers
Can someone help me please
Leviafan [203]

Answer:

(-2,-4) and (4,-6) are the plot points. I wasn't really sure about what your question was exactly so I hope this helps.

3 0
3 years ago
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Elenna [48]
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4 0
3 years ago
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The sum of the digits of a two-digit number is 9. If the digits are reversed,the new number is 9 more than the original number.F
hodyreva [135]

Answer:

45

Step-by-step explanation:

Let the original number be xy where y is unit and x is tens hence original number is 10x+y When reversed, the new number is yz hence 10y+x

We know that the original number plus 9 is the reversed number hence

10x+y+9=10y+x

9y-9x=9 which when simplified we obtain that

y-x=1 equation 1

Originally, we are told that the sum of x and y is 9 hence

y+x=9 equation 2

Solving equation 1, it means y=x+1

Substituting the above into equation 2

x+1+x=9

2x=9-1

2x=8

x=8/2=4

Since y=x+1 then y=4+1=5

Therefore, the original number, xy is 45

4 0
3 years ago
Find the Quetion of the line that passes through the points (1,6) and (5,2)
NemiM [27]

Answer:

y=-x+7

Step-by-step explanation:

Equation of straight line is given as

y-y_1=m(x-x_1)

where slope m is calculated as

m=\frac{y_2-y_1}{x_2-x_1}

<u>Here </u>

(x_1, y_1)=(1, 6) \ \ and \ \ (x_21, y_2) = (5, 2)

m = \frac{2 - 6}{5 - 1}\\m=\frac{- 4}{4} \\m=-1

<u>Equation of line that passes through the points (1,6) and (5,2)</u>

<u />y-6=-1(x-1)\\y=-x+7<u />

5 0
3 years ago
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