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viva [34]
3 years ago
10

Solve the system of equations below. Enter your answer in the boxes.

Mathematics
1 answer:
Vesna [10]3 years ago
3 0
Simplifying
8a + 12b = 92

Solving
8a + 12b = 92

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-12b' to each side of the equation.
8a + 12b + -12b = 92 + -12b

Combine like terms: 12b + -12b = 0
8a + 0 = 92 + -12b
8a = 92 + -12b

Divide each side by '8'.
a = 11.5 + -1.5b

Simplifying
a = 11.5 + -1.5b
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Answer:

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A square dartboard contains a red square and a blue square that overlap. A dart hits a random point on the board.
FinnZ [79.3K]
They want to know the probability of landing in the blue and red section at the same time. In other words, they want to know the probability of landing in the purple section.

We'll need the area of the purple square. This square is 1.5 inches by 1.5 inches. This is because 4 - 2.5 = 1.5

So the purple square has an area of 1.5*1.5 = 2.25 square inches

Divide this over the total area of the largest square (which is 9x9) to get 2.25/81 = 0.02777... where the 7's go on forever

Round that to two decimal places. The final answer is 0.03

Side note: 2.25/81 is equivalent to the reduced fraction 1/36 (express 2.25/81 as 225/8100 and then divide both parts by the GCF 225)
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3 years ago
Make t the subject of the formula in D=k/f(b+t)
PilotLPTM [1.2K]

Answer:

(k/Df)-b = t

t=(k/Df)-b

Step-by-step explanation:

D = k/f(b+t)

k/D = f(b+t)

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6 0
3 years ago
The angles in a triangle are in the ratio 2 : 3:7.
Mademuasel [1]

Answer:

30°, 45° and 105°

Step-by-step explanation:

2 + 3 + 7 = 12 parts

180/12 = 15 degrees each part

First angle (2 parts)

2(15) = 30°

Second angle (3 parts)

3(15) = 45°

Third angle (7 parts)

7(15) = 105°

Hope this helps

3 0
1 year ago
2/5 of Janet's class prefers chocolate ice cream and 2/5 prefers vanilla ice cream. What part of the class prefers chocolate or
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The answer is D, 4/5, because 2/5+2/5=4/5.
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