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Usimov [2.4K]
3 years ago
6

28 elementary schools to 16 middle schools write the ratio in simplest form

Mathematics
2 answers:
Alinara [238K]3 years ago
6 0

Answer:

The simplest form of 28 elementary schools to 16 middle schools is 7 elementary schools to 4 middle schools  written mathematically as,

\frac{28}{16} in simplest form as \frac{7}{4}

Step-by-step explanation:

Given : 28 elementary schools to 16 middle schools

We have to write the ratio in simplest form.

28 elementary schools to 16 middle schools  can be written in ratio form as \frac{28}{16}

We have write \frac{28}{16} in simplest form ,

Divide both numerator and denominator by 4, we have

\Rightarrow \dfrac{\frac{28}{4}}{\frac{16}{4}}

Solving further we get,

\frac{7}{4}

Thus, the simplest form of 28 elementary schools to 16 middle schools is 7 elementary schools to 4 middle schools  written mathematically as,

\frac{28}{16} in simplest form as \frac{7}{4}

AnnyKZ [126]3 years ago
3 0
28 to 16

Divide both numbers by 4.

7 to 4
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Evaluate the operations on the given functions, f(x) and g(x), in the provided table
3241004551 [841]

Answer:

x² + 6x + 9

x² + 4x + 3

x³ + 8x² + 21x + 18

x + 2

Step-by-step explanation:

Given in the question two functions,

f(x) = x² + 5x + 6

g(x) = x + 3

1) (f+g)(x)

(x² + 5x + 6) + (x + 3)

x² + 5x + x + 6 + 3

x² + 6x + 9

2) (f-g)(x)

(x² + 5x + 6) - (x + 3)

x² + 5x - x + 6 - 3

x² + 4x + 3

3) (f.g)(x)

(x² + 5x + 6) . (x + 3)

x³ + 5x² + 6x + 3x² + 15x + 18

x³ + 8x² + 21x + 18

4) (f/g)(x)

(x² + 5x + 6) / (x + 3)

              (x + 2)

             -------------------        

(x + 3) | (x² + 5x + 6)

            x²  + 3x

             --------------------

                   2x + 6

                   2x + 6

                   -----------------

                             0

7 0
3 years ago
A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled.
blagie [28]

Answer:

Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.

Step-by-step explanation:

A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?

Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.

Solution:

The table is:

No. of hops Distance traveled

20 30

50 75

80 120

150 ?

From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet

Find the slope of the line:

m = (y2-y1) / (x2-x1)

m=slope of the line

y2-y1 = change in distance travelled

x-2 - x1 = Change in number of hops

m = (y2-y1) / (x2-x1)

m = (75-30) / (50-20)

=45 / 30

m = 1.5

Then, the line is:

y = 1.5x

We substitute x = 150

y = 1.5x

y = 1.5 × 150

y = 225

7 0
3 years ago
BC= <br> I need someone help... anybody know how to do this?
Tems11 [23]
<h3>Answer: 10.99</h3>

Work Shown:

Angle B = 20 is the reference angle

AC = 4 is the side opposite this reference angle

BC = x is the unknown adjacent side

tan(angle) = opposite/adjacent

tan(B) = AC/BC

tan(20) = 4/x

x*tan(20) = 4

x = 4/tan(20)

x = 10.9899 approximately (make sure your calc is in degree mode)

x = 10.99 rounding to two decimal places

BC = 10.99

3 0
3 years ago
Find the value of x
Veronika [31]

Answer:

x =147

Step-by-step explanation:

The sum of the angles is = 360 -(2x+1) ( since it will make a full circle)

42+(-124+x) =360-(2x+1)

Combine like terms

x-82 =359-2x

Add 2x to each side

x-82+2x = 359

3x -82 = 359

Add 82 to each side

3x-82+82 = 359+82

3x = 441

Divide by 3

3x/3=441/3

x =441/3  or 147

4 0
3 years ago
Read 2 more answers
Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25
ioda

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

7 0
3 years ago
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