MATHEMATICS MIDDLE SCHOOL

Jim cash the paycheck and went shopping he spent 3/8 of it on a mower 2/5 of it on at chainsaw and 180 On Tools if he has 270 left how much was his paycheck worth

Answers

Answer 1

Answer:

Declaration

Let the original amount of the paycheck be x

Equation

Paycheck - cost of mower - cost of chainsaw - 180 = 270

x - [(3/8)x + (2/5)x + 180] = 270

Solve

Change 3/8 and 2/5 to a common denominator and add.

3*5/8*5 + 2*8/5*8 = 15/40 + 16/30 = 31/40

x - [(31/40)x + 180] = 270 Remove the outer brackets

x - (31/40)x - 180 = 270 Evaluate the "x"s

40/40x - 31/40x - 180 = 270

9x/40 - 180 = 270 Add 180 to both sides

9x/40 = 180 + 270

9x/40 = 450 Multiply by 40

9x = 18000 Divide by 9

x = 18000/9

x = 2000

His paycheck was 2000 dollars.

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Kacey is making a necklace that is 16 inches long. She uses 5 beads for every inch. How many beads will she need. How can i explain how to solve it ?

Answers

16 inches x 5 beads per inch is 80 beads total you would need to make a 16 inch necklace.

kacey is making a neklace long= 16
she uses bead for 1 inch= 5
she uses beads for 16 inches=16*5= 80

Write an expression for the sequence of operations described below.triple t, add the result to u, then multiply what you have by v

Do not simplify any part of the expression.

Answers

triple t ⇒ 3t
add the result to u ⇒ 3t + u
multiply what you have by v ⇒ (3t + u)v

Since it is instructed not to simplify, we perform the distributive property of multiplication.

(3t + u)v = 3tv + uv

The customary units what would be the most appropriate unit of measurement

Answers

The customary unit would be length, length consists of mile,yard,foot,kilometer,meter and centimeter.

Can someone tell me how to solve this and give me the answer please?

Answers

9h^2+42h+49 no common factors trial and error try first term and last term all sings are positive since last term and middle terms are possitive factor leading term and coeficient and try those 9=3*3 49=7*7 (3h+7)(3h+7) 9h^2+21h+21h+49 9h^2+42h+49 true (3h+7)(3h+7)=(3x+7)^2 answer is (3h+7)^2 answe ris ths second one

When 4((0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4)) is simplified, what is the resulting expression?

Answers

Answer:

$-0.8x + 4.8y + 16$

Step-by-step explanation:

We have to simplify the given expression:

$4(0.5x + 2.5y-0.7x-1.3y+4)$

First we group all the like terms of x.

$4((0.5x-0.7x) + 2.5y-1.3y+4))\n=4(-0.2x+ 2.5y-1.3y+4)$

Next we group all the like terms of y.

$4(-0.2x+ (2.5y-1.3y)+4)\n=4(-0.2x+1.2y+4)$

Now, we use distributive property for the multiplication,

$4(-0.2x+1.2y+4)\n=(4* -0.2x) + (4* 1.2y) + (4* 4)\n=-0.8x + 4.8y + 16$

is the required simplified expression.

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

7. To which set or sets does the number37 belongA integers onlyB rational numbers onlyC integers and rational numbers onlyD whole numbers, integers, and rationalnumbers

Answers

D. It is a whole number. It is an Integer. And a Rational number.

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