MATHEMATICS MIDDLE SCHOOL

Expand and simplify these(X+6) (x+9)
(X-5) (x+2)
(X-1)(x-7)
(4x+9)(3x+8)
(3x-8)(2x-1)
(X+9) ^2(squared)
(3x+2)^2

Answers

Answer 1
Answer: (x+6)(x+9)=x^2+9x+6x+54=x^2+15x+54 \n\n(x-5)(x+2)=x^2+2x-5x-10=x^2-3x-10\n\n(x-1)(x-7)=x^2-7x-x+7=x^2-6x+7\n\n(4x+9)(3x+8)=12x^2+32x+27x+72=12x^2+59x+72\n\n(3x-8)(2x-1)=6x^2-3x-16x+8=6x^2-19x+8\n\n(x+9) ^2=x^2+2\cdot x\cdot9+9^2=x^2+18x+81 \n\n(3x+2)^2=(3x)^2+2\cdot3x\cdot2+2^2=9x^2+12x+4

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Mr Putney gave sage $110 to buy new tool kits after buying 8 new tool kits he still had 14 dollars left over how much did each tool kit cost

Answers

Answer:

$12 per tool kit

Step-by-step explanation:

110-14=96

96/8=12
110-14=96
96/8 =12
$12 per tool kit

Which line is the graph of y = 1/2x + 1?

line a
line b
line c
line d

Answers

Answer:

B

Step-by-step explanation:

When x=0,

Y=1/2(0)+1

Y=1

Look for the line with the point (0,1)

Answer:

line b

Step-by-step explanation:

hope it helps :b

What is 3 - 1.5? Please also explain!

Answers

Numbers have decimals in between them. For example, between 1 and 2 are the decimals: 1.1, 1.2, 1.3 through 1.9, then it rounds up to 2.

If we need to move up a decimal, we move that same number of times. To go from .5 to our whole number, we move 5 times. .6, .7, .8, .9, then rounding up to 2.

To go from 1.5 to 2 we have to add .5.

Then we just go from 2 to 3. This is 1 whole number.

So the difference is 1.5

3-1.5=1.5

(Or to see it easier 1.5 + 1.5 = 3)
3-1.5=1.5 if you need to show work add 1.5 +1.5 and the 5s will be a 10 0 under 1 over to left then 1+1+1= 3

Divide 25 by 8 write the quotient with a fraction

Answers

3 1/8 or 3.125 or 25/8

so an athlete trains on a circular track of radius 40m and jogs 10 laps each day 5 days a week. how far dose he jog each week?

Answers

ok.  he jogs 10 laps in a day and each lap is 40 m so 10 times 40 is 400
he jogs 400 meters in a day then multiply that by 5 for the week
400 times 5 is 2000
he jogs 2000 meters each week

A cube with an edge length of 4 inches is painted on all of its sides. Then the cube is cut into 64 cubes with an edge length of 1 inch. What percent of the total surface area is painted? Explain.

Answers

Please refer to the diagrams to understand these answers:

CUBE (1):

Paint on cube (1) contains 3.125% of the paint.

CUBE (2):

Paint on cube (2) contains 2.083% of the paint.

CUBE (3):

Paint on cube (3) contains 1.042% of the paint.

CUBE (4):

Contains 0% of the paint.

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

There would be four different types of cubes which would contain different amounts of paint.

Some cubes in fact would have no paint (cube (4)). Now we can check if our results are correct by counting how many cube (1)'s, cube (2)'s, cube (3)'s and cube (4)'s there are...

Cube (1) x 8 + Cube (2) x 24 + cube (3) x 24 + cube (4) x 8

= 3.125% x 8 + 2.083% x 24 + 1.042% x 24 + 0% x 8

= 1

= 100%

Answer:

25%

Step-by-step explanation:A cube with an edge length of 4 inches is painted on all of its sides. Then the cube is cut into 64 cubes with an edge length of 1 inch. What percent of the total surface area is painted?

Find the surface area of the painted cube.

6(42) = 96 in2.

Find the surface area of each of the smaller cubes.

6(12) = 6 in2.

Find the total surface area of the smaller cubes.

64(6) = 384 in2.

Find the percent of the total surface area painted.

96

384

= 0.25, or 25%.

The total surface area painted is 25%.
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