MATHEMATICS MIDDLE SCHOOL

Circle the common factors of 20w and 40wz. Options are 10, 20w, 10xz, 5z, 2w, z, 9w, or w. Can you please explain how you guys got this too

Answers

Answer 1

Answer:

Answer with Step-by-step explanation:

We are given 2 terms

20w and 40wz

We have to find their common factors.

20w=2×2×5×w

40wz=2×2×2×5×w×z

As we can see from the above factorization that,

10=2×5 is common in both

20w=2×2×5×w is common in both

2w=2×w is common in both

w is common in both

Hence, the common factors of 20w and 40wz are:

10,20w,2w and w

Answer 2

Answer: 10, 20w, 2w, and we are factors of 20w and 40wz

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the perimeter of a rectangle is 32 centimeters. The length is 1 cm more than twice the width. Find the dimensions of the rectangle.

Answers

Answer: length = 11cm , width = 5cm

Step-by-step explanation:

The formula for calculating the perimeter of a rectangle is given by :

P = 2 ( L + w )

The length is 1 cm more than twice the width implies:

L = 1 + 2w

substituting into the formula , we have

32 = 2 ( 1 + 2w + w )

32 = 2 ( 1 + 3w)

32 = 2 + 6w

32 - 2 = 6w

30 = 6w

Therefore :

w = 5

then

L = 1 + 2w

L = 1 + 2 ( 5 )

L = 1 + 10

L = 11

Therefore , the length is 11 cm and the width is 5cm

a supplier sells 2 1/4 lbs mulch for every 1 1/3 lbs gravel. the supplier sells 172 pounds of them combined. how many pounds of each does the supplier sell

Answers

Answer:

108 lb mulch
64 lb gravel

Step-by-step explanation:

Given a supplier sells 2 1/4 lbs mulch for every 1 1/3 lbs gravel, you want to know the weight of each if 172 total pounds were sold.

Ratio

The ratio of pounds sold can be found as ...

mulch : gravel = 2 1/4 : 1 1/3 = 9/4 : 4/3 = 27/12 : 16/12 = 27 : 16

Fraction

The fraction of mulch sold is 27/(27+16) = 27/43. In pounds, that fraction is ...

(172 lb)(27/43) = 108 lb . . . . . mulch

The rest is sold as gravel:

172 lb -108 lb = 64 lb . . . . . gravel

The supplier sold 108 lb of mulch and 64 lb of gravel.

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What is the slope of AC?

Answers

Answer:

$(b-d)/(a-c)$

Step-by-step explanation:

Let $(x_1,y_1)=A(a,b)$ and $(x_2,y_2)=C(c,d)$ .

The slope of AC can be found using

$m=(y_1-y_2)/(x_1-x_2)$

Substitute the variables to get;

$m=(b-d)/(a-c)$

Answer:

The correct option for the answer for given problem is D.

Step-by-step explanation:

The coordinates of point A are given to be : (a, b)

And the coordinates of point C are given to be : (c, d)

Now, we need to find the slope of the line AC :

Slope of any line is given by the formula :

$Slope=(y_2-y_1)/(x_2-x_1)$

So, Slope of line Ac will be :

$\text{Slope of AC = }(b-d)/(a-c)$

Therefore, The correct option for the answer for given problem is D.

Eric sold cell phones for $70. Eric increases his sale price by 100%. What is the sales price of the cell phone?

Answers

New price = old price + 100% of old price=
= 70 + (100/100 X 70)
= 70 + 70
= $140

140$ is the answer 70×2=140 $ is the answer

Which number is not an integer?
А -20
B -2.5
C -8/4
D 0

Answers

Answer:

Step-by-step explanation:

Answer: B and C

Step-by-step explanation:

Integers can’t have a decimal or fractional value, but answers B and C do

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