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True [87]
3 years ago
10

Find the quotient. 57/53

Mathematics
2 answers:
devlian [24]3 years ago
8 0

Answer: 1.0754

Step-by-step explanation:

Oksana_A [137]3 years ago
8 0

Answer:

1.075

Step-by-step explanation:

57 divided by 53 is 1.075

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Help with this!!plz. Asap
gizmo_the_mogwai [7]
Hey there! :D

So, we know that there are 3 z's and 3 6's. 

3*z= 3z

6*3= 18 

3(z+6) <== equivalent expression 

3z+18 <== equivalent expression

z is by itself. It shouldn't combine. It should stay the same. 6 as a unit is separate from z. 

Choices "B" and "E" are correct.

I hope this helps!
~kaikers
5 0
3 years ago
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
dedylja [7]

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
  • Therefore the value of k is 4.
3 0
3 years ago
A micro-photograph of a human hair shows the hair magnified 150 times. If the hair is
stepan [7]

Answer:

<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.

The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.

The hair can be seen 2 cm wide in the photograph.

Converting to millimeters, 2 cm = 2*10 = 20 millimeters.

The actual width of the hair is 20 / 150 = 0.13 mm

6 0
2 years ago
Dr.Purple wants to buy candy bars for all his 143 math students. He buys 9 cases plus 8 more individual bars. How many bars are
Annette [7]

There is 15 bars in each case.

Subtract 8 from 143 and you get 135.

Divide 135 by 9 and you get 15 :)

3 0
2 years ago
Read 2 more answers
Rectangle ABCD was dilated to create rectangle A'B'C'D.
77julia77 [94]

The first thing we must do for this case is to calculate the scale factor.

For this, we make the relationship between two parallel sides.

We have then:

k =\frac{B'C'}{BC}

Substituting values we have:

k = \frac{9.5}{3.8}\\k = 2.5

We are now looking for the value of AB

We have then:

AB = \frac{A'B'}{k}

Substituting values:

AB = \frac{15}{2.5}\\AB = 6

Answer:

The scale factor is:

k = 2.5

The value of AB is:

AB = 6

8 0
3 years ago
Read 2 more answers
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