MATHEMATICS MIDDLE SCHOOL

Evaluate expression -2+12-2^3/2^0*3

Answers

Answer 1

Answer:

2/3

Step-by-step explanation:

Numerator is 12-2-8

Denominator is 1*3

2/3

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What is half of 9 1/4

Answers

Half of 9 1/4 is 4 5/8 or 37/8

Marisol is painting on a piece of canvas that has and area of 180 square inches. The length of the painting is 1 1/4 times the width. What are the dimensions of the painting?

Answers

Formula for the rectangle area is a * b, In this case we know that:

a * b = 180
a (width) = unknown
b (length) = 1 1/4a

We can write it down as:

a * 1 1/4 * a = 180
a² * 1 1/4 = 180 / ÷ 1 1/4 (both sides)
a² = 144 / square root (both sides)
a = 12

Doublecheck:

a = 12
b = 1 1/4 * 12 = 15
a * b = 12 * 15 = 180 (so it's correct)

Answer: The dimensions of the painting are 12 x 15 inches.

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 cm of gold ribbon, does he have enough to decorate the top of the box?

Answers

The perimeter of a shape is the sum of the visible lengths of the shape. Adam does not have enough ribbon to decorate the top of the box.

I've added the gift box, as an attachment.

From the attached image, we have:

$Volume = 296$

$Height = 8$

Next, we calculate the length and the width of the box using:

$Volume = Length * Width * Height$

The top and bottom edges are square. This means that:

$Length = Width$

So, we have:

$Volume = Length * Length * Height$

Substitute known values

$296 = Length * Length * 8$

$296 = Length^2 * 8$

Divide both sides by 8

$37 = Length^2$

Take square roots of both sides

$6.1 = Length$

So, we have:

$Length = Width = 6.1$

Calculate perimeter (P) of the top edge of the box

$P =2 * (Length + Width)$

$P =2 * (6.1 + 6.1)$

$P =2 * (12.2)$

$P =24.4$

This means that Adam needs 24.4 cm of gold ribbon to wrap the top edge

By comparison:

$24.4 > 24\frac 14$

$24.4 > 24.25$

24.4 cm is greater than the length of Adam's gold ribbon (24.25).

Hence, we can conclude that he does not have enough ribbon to decorate the top of the box.

Learn more about perimeters at:

brainly.com/question/6465134

No , he does not have enough

Jeff has 1/2 pizza left in the fridge . at breakfast he ate 1/3 of it. what fraction of the original pizza dose he have left for lunch?

Answers

Subtract 1/2 - 1/3

Convert into denominators of 6:

3/6 - 2/6 = (3-2)/6 = 1/6

So he will have 1/6 of pizza left for lunch.

(1-1/2)=1/2
(1/2)-(1/3)=1/6
This leaves Jeff with 1/6 of the original pizza.

Forty is 25% of what number?

Answers

25 is equal to 1/4
to find 1/4 of a number, you divide the number by 4.
the equation here is:
x ÷ 4 = 40
to solve, do 40 x 4 = 160
x = 160

40 is 25% of 160

A MILKMAN SOLD TWO OF HIS BUFFALOES FOR RS.20,000. EACH ON ONE HE MADE A GAIN OF 5% AND ON THE OTHER A LOSS OF 10%. FIND HIS OVERALL GAIN OR LOSS.

Answers

Selling price of 1st buffalo +Selling price of 2nd buffalo=20000
profit for 1st buffalo=0.05 of cost price of 1st buffalo
loss for 2nd buffalo=0.1 of cost price of 2nd buffalo
1.05(cost price of 1st buffalo)+(0.9)cost price of 2nd buffalo=20000
the buffalo must cost must be same = x (say)
1.05x+0.9x=20000
1.95x=20000
x=10256.41
2x=20512.82
profit=20512.82-20000=512.82
profit %=2.56410 %

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