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Naily [24]
3 years ago
11

What is the solution to the system of equations below? x = 5y - 2 AND 3x - 4y = 27 *

Mathematics
1 answer:
Deffense [45]3 years ago
7 0

Answer:

x = 13, y = 3

Step-by-step explanation:

3(5y - 2) - 4y = 27

15y - 6 - 4y = 27

11y = 33

y = 3

x = 15 - 2

x = 13

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Suppose that Ayumi rolls a pair of fair six-sided dice. Let AAA be the event that the first die lands on 222 and BBB be the even
balu736 [363]

Answer:

1/6

1/6

1/36

Events A and B are independent

Step-by-step explanation:

Suppose:

A = event that first die lands on 2

B = event that second die lands on 2

Sample space:

Die 1 = 1,2,3,4,5,6

Die 2 = 1,2,3,4,5,6

Sample space of both die combined is attached below

Probability = (total number of required outcomes / total number of possible outcomes)

Probability that first die lands on 2:

P(A) = 1/6

Probability that second die lands on 2:

P(B) = 1/6

Probability of A and B:

P(A and B) = 1/6 × 1/6 = 1/36

Evebts A and B are independent because, the outcome of one event does not affect the occurrence of the other event.

4 0
4 years ago
The scale from a map to the actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5
galina1969 [7]

Answer 868 miles

Step by step

Given: The scale from a map to actual distance is 2.5 cm to 620 miles. If the distance on the map between Chicago and Boston is about 3.5 cm. Hence, the approximate distance between Chicago and Boston = 868 miles.

If the distance on the map between Chicago and Boston is about 3.5 cm.

Then, the actual distance between them =  3.5\times 248 \text{ miles}=868 \text{ miles}

Hence, the approximate distance between Chicago and Boston = 868 miles.

i.e.  1 cm on map = 620/2.5 miles =  248 miles

6 0
3 years ago
On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60º.
andrew-mc [135]

Answer:

There are 180 degrees in a triangle so it is 80 degrees

4 0
3 years ago
Read 2 more answers
The formula d = rt gives the distance d traveled in time t at rate r. A train travels 163.2 miles in 2.4 hours, traveling at a c
gayaneshka [121]
The answer would be 68 So 163.2= 68 x 2.4
4 0
3 years ago
8.3 + 2.7 Adding and Subtracting Decimals
julsineya [31]

Answer:

your answer is 11

Step-by-step explanation:

3 0
3 years ago
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