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Blababa [14]
2 years ago
6

write 700/200 as a terminating decimal. then describe two methods for converting a mixed number to a decimal

Mathematics
1 answer:
zhuklara [117]2 years ago
5 0
\frac{700}{200}=\frac{7}{2}\\\\\#1\\\frac{7}{2}=3\frac{1}{2}=3\frac{5}{10}=3.5\\\\\#2\\\frac{7}{2}=\frac{6+1}{2}=\frac{6}{2}+\frac{1}{2}=3+\frac{1}{2}=3+0.5=3.5\\\\\underline{0.5}\\1:2\\\underline{0}\\10\\\underline{10}\\R=0

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What is a and b pls answer ASAP I need it !!! Plsss
nlexa [21]

Answer:

The value of a = 5.

the value of b = 6.

Step-by-step explanation:

Given the points on the line

  • (6, 10)
  • (a, 8)
  • (4, b)
  • (2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

First, determine the slope between (6, 10) and (2, 2)

(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

               = -8 / -4  

               = 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

2a = 10

divide both sides by 2

a = 5

Therefore, the value of a = 5.

Determine the value 'b'

(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

7 0
3 years ago
. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degre
MrRa [10]

Answer: 19 degrees is your answer

Step-by-step explanation:

5 0
1 year ago
Need help with this question!
Katyanochek1 [597]

Answer:

  • A = 0.85(b +47)
  • $143.65

Step-by-step explanation:

Since the number of bagels sold already is 47, the total number of bagels sold will be b+47. The revenue from each sale is $0.85, so the total revenue will be ...

  A = 0.85·(b +47)

This equation can be written in different forms, but this satisfies the requirement for "an equation."

__

Since b is the number of addition bagels, when 122 additional bagels are sold, the value of b is 122. Then the equation becomes ...

  A = 0.85·(122 +47)

  A = 0.85·169 = 143.65

Revenue will be $143.65 when 122 additional bagels are sold.

4 0
3 years ago
What is the total number of common tangents that can be drawn to the circles?
erastovalidia [21]

Answer:

B. 0

Step-by-step explanation:

The circles do not intersect, tangents require intersection

6 0
3 years ago
There was 135 buttons in a jar after Robin put more buttons into the jar there were 175 vines in the jar how many more groups of
RSB [31]

Answer:

4 groups of ten

Step-by-step explanation:

175-135=40

5 0
2 years ago
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