MATHEMATICS MIDDLE SCHOOL

Solve the equation for y.

(y-3)^2=4y-12

Answers

Answer 1
Answer:

(y-3)²=4y-12

First we need to start by subtract 4y-12 from both sides

y²-6y+9-(4y-12)= 4y-12-(4y-12)

y²-10y+21=0

Now we need to do the factorization of the equation

we gonna factor the left side of it

(y-3)(y-7)=0

Set factors equal to 0

y-3=0 or y-7=0

y=3 or y=7

I hope that's help :0

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Which decimal is equivalent to 3/8?

33% As A Decimal And Fraction?

Answers

percent means parts out of 100 so
33%=33/100=3.3/10=0.33/1

33%=33/100=0.33

100 less than 37,972 give me the number

Answers

the answer is 37,872 because
37,972-100= 37,872
What I did was subtract, 37,972-100. 
 37,972
-     100
--------------
37,872

45 is 15% of what number

Answers

45 = 15% of number
45 = 15% × n
15% = (15)/(100) = 0.15

45 = 0.15n

(45)/(0.15) = (0.15n)/(0.15)
0.15 and 0.15 cancels out

300 = n

15% of 300 is 45

45 is 155 of 300
15% of a number is 45
15% × x = 45
x = 45 ÷ 15%
x = 45 ÷ 15/100
x = 45 × 100/15
x = 4500/15
x = 300

Check:
15% × 300
= 15/100 × 300
= 15 × 3
= 45

45 is 15% of 300.

A plane slices diagonally through a rectangular prism as shown. Which term best describes the cross-section formed by the intersection of the plane and the prism?

Answers

Answer:

Rectangle shaped cross section is formed by intersection of plane and prism.

Step-by-step explanation:

Given: A rectangular Prism.

To find: Shape of Cross Section when a plane intersect the prism diagonally

A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

I need help with this problem thank you

Answers

Ohhhh nevermind its in a picture, my bad. The answer is all methods. because 3/6 equals 2. And 10/5 also equals 2. And 2 equals 2. So all of the methods would be right 

Amanda had $20 when she went into the shopping center. She purchased a snack to eat for $y and then bought two items at a clothing store each of which cost $x. Which expression represents the amount of money she has left after the purchases? *

Answers

x+y = 20
Expression: 20 - 2x - y (expressions don’t have equal signs)
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