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Roman55 [17]
3 years ago
11

Match each simplified fraction on the left with an equivalent rate on the right.

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

2/65 = 4 teachers for 130

3/100 = 9 teachers for 300

2/55 = 8 teachers for 220

3/85 = 6 teachers for 170

Step-by-step explanation:

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The figures below are similar; explain what you know about the sides.
borishaifa [10]

The figures are similar, so the corresponding sides are proportional.

For example, the ratio of BD to HF could be 2:1 meaning BD is twice as long as HF. We could have BD = 10 and HF = 5 for instance.

The other sides would be in the same proportion to keep the figures similar. So another example would be ND/TH = 2/1

4 0
4 years ago
Find the point-slope equation for the line that passes through the points (-8,-32) and (3,1). Use the first point in your equati
emmainna [20.7K]

Hey there! :)

Answer:

y + 32 = 3(x + 8)

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in the coordinates of the points into the equation:

m = \frac{1 - (-32)}{3 - (-8)}

Simplify:

m = \frac{33}{11}

m = 3.

Point-slope form is:

y-y₁=m(x-x₁)

Plug in the coordinates of the first point, as well as the slope:

y - (-32) = 3(x - (-8)

y + 32 = 3(x + 8)

6 0
3 years ago
Read 2 more answers
Find the solutions(s) to 9x^2-54x=0
dusya [7]

Answer:

Two solutions were found :

x = 6

x = 0

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 32x2 -  54x  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  9x2 - 54x  =   9x • (x - 6)  

Equation at the end of step  3  :

 9x • (x - 6)  = 0  

Step  4  :

Theory - Roots of a product :

4.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

4.2      Solve  :    9x = 0  

Divide both sides of the equation by 9:

                    x = 0  

Solving a Single Variable Equation :

4.3      Solve  :    x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

4 0
3 years ago
80 POINTS<br><br> Verify the Identity.<br> cot(x-π/2) = -tanx
lions [1.4K]

= cos(x-π/2)/sin(x-π/2)

= (cos(x)cos(π/2) + sin((x)sin(π/2)) / (sin(x)cos(π/2) - cos(x)sin(π/2)

= sin(x)/ (-cos(x)) .... cos(π/2) = 0; sin(π/2) = 1

= -tan(x)

idk if this is right but i tried

8 0
3 years ago
Read 2 more answers
Simplify the expression -2.2f+0.8f-16-5
Leona [35]

Answer:

The answer is -1.4f-21

Step-by-step explanation:

7 0
3 years ago
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