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3 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Mathematics

2 answers:

True [87]3 years ago

7 0

Answer: (6,3)

Step-by-step explanation:

apex

motikmotik3 years ago

4 0

Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
-42 -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)

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The average maximum monthly temperature in Campinas, Brazil is 29.9 degrees Celsius. The standard deviation in maximum monthly t

velikii [3]

Answer:

3.84% of months would have a maximum temperature of 34 degrees or higher

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 29.9, \sigma = 2.31$

What percentage of months would have a maximum temperature of 34 degrees or higher?

This is 1 subtracted by the pvalue of Z when X = 34. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{34 - 29.9}{2.31}$

$Z = 1.77$

$Z = 1.77$ has a pvalue of 0.9616

1 - 0.9616 = 0.0384

3.84% of months would have a maximum temperature of 34 degrees or higher

8 0

3 years ago

Guys Help!! I Don´t Know How To Do This!!

Shkiper50 [21]

Answer:

Frank

Step-by-step explanation:

First let's start by calculating the speed of each runner.

Let's use feet per second

Frank's speed is already given in feet per second: 14 feet/second

We are given that Jake runs 382 feet in 38 seconds. To bring this down to feet/second we need to divide both numbers by 38.

382/38=10.05 feet/second (about)

We are given that Will runs 1 mile in 394 seconds. 1 mile is equivalent to 5280 feet. Now we divide both numbers by 394 to bring it down to feet/second.

5280/394=13.401 feet/second (about)

We are given that Ron runs 555 feet in 1 minute. 1 minute is equivalent to 60 seconds. Now we divide both numbers by 60 to bring it down to feet/second.

555/60=9.25 feet/second

After comparing all the speeds, we can conclude that Frank runs the fastest

5 0

3 years ago

Answer YES if is a Right Triangle or NO if is not

Vilka [71]

Answer:

Part A: yes

Part B: yes

Part C: yes

Step-by-step explanation:

Part A:

77² + 420² = 427²

5,929 + 176,400 = 182,329

182,329 = 182,329

---------------------------------------------------------

Part B:

279² + 440² = 521²

77,841 + 193,600 = 271,441

271,441 = 271,441

----------------------------------------------------------

Part C:

39² + 760² = 761²

1,521 + 577,600 = 579,121

579121 = 579,121

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7 0

3 years ago

Can someone help me with this math homework please!

love history [14]

1. f(-6)=8

2.-2

3. 4

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3 0

3 years ago

What is 6.5 multiplied by 0.2?

Angelina_Jolie [31]

The answer to this is 1.3

5 0

3 years ago

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