MATHEMATICS MIDDLE SCHOOL

Find the length of LO if M is between L and O, and LM = 5x, MO = 10, and LO = 4x + 20

Answers

Answer 1
Answer: LM+MO=LO
5x+10=4x+20
-10 -10
5x=4x+10
-4x -4x
x=10

4x+20
4(10)+20
40+20
60

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If 3 pieces of candy cost $2.10,how much would four pieces cost?

Answers

We need to find the unit rate

2.10/3 = 0.70

0.70*4 = 2.80

Answer: 4 pieces would cost $2.80
210 divided by 3 equals 70 

210+70= 280

$2.80

The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where xrepresents the smaller integer. Which equation can be factored and solved for the smaller integer?
Ox2 + x - 72 = 0
O x2 + x + 72 = 0
O x2 + 2x - 72 = 0
o x2 + 2x + 72 = 0

Answers

Answer:

x^2 + x - 72 = 0

Step-by-step explanation:

x(x + 1) = 72 should be re-written in the standard form of a quadratic:

x^2 + x - 72 = 0.  Same as the first answer choice.

Answer:

x^2+x-72=0

Step-by-step explanation:

8.5 pounds of ground beef for $19.00 find unit price

Answers

$19.00/ 8.5 pounds= $2.24/pound.

The unit price is $2.24/pound~

What is the distance, in feet, across the patch of swamp water?

Answers

Answer:

Therefore the distance across the patch of swamp water is 50 ft

Step-by-step explanation:

Given:

VW = 100 ft

WX = 60 ft

XZ = 30 ft

To Find:

ZY = l = ?

Solution:

In  Δ VWX and Δ YZX

∠W ≅ ∠ Z    …………..{measure of each angle is 90° given}

∠VXW ≅ ∠YXZ      ..............{vertically opposite angles  are equal}

Δ ABC ~ Δ DEC ….{Angle-Angle Similarity test}

If two triangles are similar then their sides are in proportion.

(VW)/(YZ) =(WX)/(ZX) =(VX)/(YX)\ \textrm{corresponding sides of similar triangles are in proportion}\n  

On substituting the given values we get

(100)/(l) =(60)/(30)\n\nl=(3000)/(60)=50\ ft

Therefore the distance across the patch of swamp water is 50 ft

There are 150 members in the school marching band. the band wants to raise $30,000 for a trip to a national competition. the school agreed to contribute $10,000 towards the trip. which inequality shows the amount of money that each band member should raise?A) 150x + 30,000 > 10,000
B) 150x + 10,000 > 30,000
C) 10,000x + 150 > 30,000
D) 10,000x + 30,000 > 150

Answers

The answer is B, $10,000 is given and is not a variable that can be changed, since there are 150 band students raising money it would be 150x, and the 30,000 is the goal of the fundraiser

When can you add or subtract equations in a system to solve the system? when do you have to multiply first? Justify your answers with examples.

Answers

You must always use the order of operations also known as PEMDAS meaning multiplication and division come before adding and subtracting for example when solving 2+2÷2 if not follwing PEMDAS it is 2 When you do it the correct way using PEMDAS it will be 3
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