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Elina [12.6K]
3 years ago
14

Simplify the ratio 84: 36: 108: 60

Mathematics
1 answer:
Helga [31]3 years ago
6 0

Answer:

A) 7 : 3

B) 7 : 4

Step-by-step explanation:

84 : 36

Simplified:

42 : 18 ( divided by 2)

21 : 9 ( divided by 2)

7 : 3 ( divided by 3)

7 : 3

108 : 60

35 : 20 ( divided by 3)

7 : 4 ( divided by 5)

7 : 4

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Use a property that’s a good reason then tear it apart
6 0
3 years ago
7. Which of the following can be determined from the graph below?
tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

y=-\frac{5}{2}x+40  and  y=\frac{5}{3}x+15

Step-by-step explanation:

Part 7)

<em>step 1</em>

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{30-15}{9-0}

m=\frac{15}{9}

simplify

m=\frac{5}{3}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=\frac{5}{3}

b=15

substitute

y=\frac{5}{3}x+15

<em>step 2</em>

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{20-40}{8-0}

m=-\frac{20}{8}

simplify

m=-\frac{5}{2}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-\frac{5}{2}

b=40

substitute

y=-\frac{5}{2}x+40

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both y=-\frac{5}{2}x+40  and  

y=\frac{5}{3}x+15

7 0
3 years ago
3) A semicircle is attached to the side of a rectangle as shown.
m_a_m_a [10]
Rectangle = 18 x 6 = 108
Circle:  3.14 x (3)^2 = 3.14 x 9 = 28.26
<span>semicircle: 28.26 / 2 = 14.13
</span>
108 + 14.13 = 122.13

answer
122.13 cm^2

3 0
2 years ago
Read 2 more answers
What is the equation in slope-intercept from of the line that passes through the points (-4,47) and (2,-16
Harrizon [31]

Answer:

<h3>Y=-21/2x+5</h3>

Step-by-step explanation:

<u><em>SLOPE FORMULA:</em></u>

y₂-y₁/x₂-x₁=rise/run

<u><em>SLOPE-INTERCEPT FORM:</em></u>

y=mx+b

m represents the slope.

b represents the y-intercept.

y₂=(-16)

y₁=47

x₂=2

y₁=(-4)

Solve.

\displaystyle \mathsf{\frac{(-16)-47}{2-(-4)}=\frac{21}{6}=\frac{21}{2}=-\frac{21}{2}   }}

Furthermore, the y-intercept is 5.

y=-21/2x+5

The correct answer is y=-21/2x+5.

6 0
3 years ago
I just need someone to tell me who earns more money per hour, and explain how
worty [1.4K]

Answer:

Lisa earns more money because John makes $16 while Lisa makes $18.

3 0
2 years ago
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