MATHEMATICS MIDDLE SCHOOL

Simplify to create an equivalent expression.
−2(−5n+6)+5(2−7n)

Answers

Answer 1
Answer:

The simplified expression is -25n - 2.

To simplify the expression −2(−5n+6)+5(2−7n), apply the distributive property and then combine like terms.

Let's simplify each term separately:

-2(-5n + 6) = 10n - 12

5(2 - 7n) = 10 - 35n

Now combine the simplified terms:

10n - 12 + 10 - 35n

To combine like terms,  group the n terms and the constant terms:

(10n - 35n) + (-12 + 10)

Simplifying further:

25n - 2

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Answer 2
Answer:

Answer:

−25n−2

Step-by-step explanation:

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Which is greater 1/5 or 1/10

Answers

1/5.  One fifth is equal to 0.2,  while 1/10 is 0.1
1/5 would be greater. Say you had two pizzas both the same size one was cut into five slices the other cut into ten the pizza only cut into five slices would give you the larger slices.

How to write 43 centimeters as a decimal

Answers

43.00 cm
Hope this helps

Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following expression shows the amount of money that will be in the account x weeks after Mason opens it.165.85 + 20.5x

How much money will be in the account after 10 weeks?

Answers

Answer:

$370.85

Step-by-step explanation:

The following expression shows the amount of money in the account after x weeks.

165.85+20.5\cdot{x}

If $20.50 was added to the account for 10 weeks we can substitue 10 as the x:

165.85+20.5\cdot{10}=165.85+205=370.85

$370.85 will be in the account after 10 weeks
first add your total then times that by 10

At MLC 1/8 of the girls are boarders. There are 300 boarders.a) How many girls are not boarders?
b)How many students are there at MLC?

Answers

Multiply 300 from both numerator and denominator of (1)/(8)

(1)/(8) = (300)/(2400)

2400 - 300=2100

2100 girls are not boarders.

2400 + 300 = 2700

2700 students are there at MLC

Answer:b

Step-by-step explanation:

M is the midpoint of PQ and N is the midpoint of PR, and O is the intersection of QN and RM, as shown. If QN is perpendicular PR, QN = 12, and PR = 14, then find OR.

Answers

Answer:

 OR = √65

Step-by-step explanation:

M and N are the midpoints of their respective sides, so O is the centroid of the triangle. That means ...

  ON = QN/3 = 12/3 = 4

By the Pythagorean theorem, ...

  OR² = NR² +ON²

  OR² = 7² +4² = 65

  OR = √65

Using the Pythagorean theorem, we can find the value of OR as √65 or approximately 8.06 .

In the given figure, we can use the Pythagorean theorem to find the value of OR.

The Pythagorean theorem is a formula that relates the lengths of the sides of a right triangle, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

This can be seen as c² = a² + b².

M and N are the midpoints of their respective sides, so O is the centroid of the triangle.

Given that QN is perpendicular to PR,ON = QN/3 = 12/3 = 4.

The value of ON =4, and the value of NR = PR/2

NR = 14/2(Because the N is midpoint for PR)

NR =7

By the Pythagorean theorem:-

 OR² = NR² +ON²

 OR² = 7² +4² = 65

 OR = 8.06

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Solve for x:
3/4(3x+4)=4(x+6)

Answers

Answer:

Step-by-step explanation:

3/4 (3x + 4) = 4 (x + 6)

9x/4 + 3 = 4x + 24

9x/4 - 4x = 24 - 3

9x/4 - 4x = 21

multiply by 4 on both sides

9x - 16x = 84

-7x = 84

x = 84 / -7

x = -12

Answer:

-12

Step-by-step explanation:

I put it in my special calculator
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