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Anestetic [448]
3 years ago
7

Solve the system of equations by multiplying first. Enter the solution as an ordered pair.

Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0
The answer is x=4, y=-2 and the ordered pair would be (4,-2) good luck
soldi70 [24.7K]3 years ago
7 0
Multiply the first equation by -3x for elimination. The answer is (4, -2) x,y
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HELP Sam measures the height of 7 different scoops of ice cream. The mean of the heights was 3.8 cm. Which of the following best
OLga [1]

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.

<h3>How to find the mean value of a data set?</h3>

The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.

If the data set consists of values

x_1, x_2, ..., x_n

, then we get the mean value as:

\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.

\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}

mean=\dfrac{(a+b+c+d+e+f+g)}{7}

Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.

Learn more about mean;

brainly.com/question/23008823

#SPJ2

8 0
2 years ago
Read 2 more answers
For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then wri
Anna007 [38]

Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)

If y = 2u₁ + 1

Not possible

⇒x and y are not a pair of consecutive integers.

Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

⇒ either x and y are odd or even

If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

8 0
3 years ago
What is the area of the parallelogram ?
nignag [31]
483388392929922920220202
8 0
2 years ago
Write a numerical expression with exponents to describe the sum of 3x3x3x3 and 36
grandymaker [24]

Answer:

3^3 and 36^1

Step-by-step explanation:

3x3x3x3 is multiplying that 4 times so it is to the power of 4

36 is just once so it is to the power of one

4 0
3 years ago
Read 2 more answers
a line has a slope of -2 and includes the points (-1,r) and (2,4). write the value of r in the empty box
guajiro [1.7K]

Answer:

r= 10

Step-by-step explanation:

4 0
3 years ago
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