Use the distributive property to find an expression that is equivalent to 2(x + 7) - (3x + 1)

Answer:

9x/y³

Step-by-step explanation:

The simplification of the expression 9x⁰y⁻³ will be 9/y³.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In another word the mathematics of power or exponent of any number is called indices.

As per the given expression,

9x⁰y⁻³

By the law of indices that, [tex]x^{-m}[/tex] = 1/[tex]x^{m}[/tex]

9x⁰y⁻³ = 9x⁰ × 1/y³

⇒ 9(1)/y³ = 9/y³

Hence "The simplification of the expression 9x⁰y⁻³ will be 9/y³".

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Answer:

-957

Step-by-step explanation:

... -915, -929, -943, -957, -971, -985, -999 ...

Answer:

x=2

Step-by-step explanation:

9x - 3 = 6x + 3

    + 3         + 3

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

9x = 6x + 6

-6x  -6x

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

3x = 6

---    ---

3      3

----------

x=2

Answer:

d = 9.84 m

Step-by-step explanation:

The dimensions of an envelope are 9 inches by 4 inches.

We need to find the maximum possible length of the pencil.

Let it be d. It can be calculated using Pythagoras theorem such that,

[tex]d=\sqrt{9^2+4^2} \\\\d=9.84\ m[/tex]

So, the maximum possible length of the pencil is 9.84 m./

Answer:

the answer will be 56ef i guesss...

The value of given product is 56ef.

Here,

We have to simplify; 7 x e x f x 8.

What is the product?

When we multiply two numbers, the answer is called the Product.

Now,

The expression is,

⇒ 7 x e x f x 8

After product we get;

⇒ 7 x e x f x 8 = 56ef

Hence, The value of given product is 56ef.

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Answer:

by poop needs 5 more poin

Answer: The percentage discount for the cost of the boots= 18 %

Step-by-step explanation:

Discount equals   Price before Discount( original price )  −  Price after Discount

=$36.00  −$29.52

=$6.48

Percentage discount =  Discount / Price before Discount ( original price) X 100

= $6.48 / $36.00 x 100

= 0.18 x 100

= 18 %

Answer:

10²

Step-by-step explanation:

Another way of phrasing "10 sets of 10 sit-ups" is "10 sit-ups, 10 times," or mathematically, 10 x 10. Another way of writing repeated multiplication is through exponents. Since we have 2 10's multiplied together, we can rewrite our expression as 10².

Answer:

10 to the power of 2

Step-by-step explanation:

10 to the power of 2 is 100 because you multiply 10x10 2 times  Hope this helps

Answer:

C=10

Step-by-step explanation:

A^2 + B^2 = C^2

A=6

B=8

C=?

A^2=36

B^2=64

C^2=100

Answer:

I don't have a calculator with me but do 33.33 x 4 because 33.33 x 4 is 12 quarts which is equal to 3 gallons and then see which is cheaper

Answer:

D. 15 in

Step-by-step explanation:

420 divided by 28 equals 15.

Answer:

A trapezoid

Step-by-step explanation:

Because a trapezoid has only 1 pair of parallel sides

Answer:

$39

Step-by-step explanation:

First we need to find 35% of 60:

0.35 * 60=21

All we have to do after that is subtract 35% of 60 from 60:

60-21=39

And yeah the answer is 39!

I hope this helped! :)

Answer: A

Step-by-step explanation:

Answer:

71+112+48+x=360

231+x=360

x=360-231

x=129

the measure for the missing angle is 129

Answer:

15 ft

Step-by-step explanation:

This is another classic case of Pythagoras theorem. To start with, let's assume that the length of the ladder we're looking for is x

We're told that the height of the building the ladder is leaning on is, x - 3

Also we're told that the distance at an adjacent from the ladder is 9 ft.

If we use Pythagoras theorem, we have

x² = (x - 3)² + 9²

x² = x² - 6x + 9 + 81

On rearranging, we have

x² - x² = -6x + 90

6x = 90

x = 90 / 6

x = 15 ft

Therefore, the length of the ladder is found to be 15 ft

Answer:

1) They forgot to multiply 2 times (2x+5)

2) x-2 is not equal to -(x+2).

3) The correct expression is [tex]x-1-1+2x=1-3x[/tex]

4) The correct way is [tex]4(2x+3)=3(1-3x)[/tex]

Step-by-step explanation:

1) In this case they forgot to multiply 2 times (2x+5). Let's recall we need to multiply (2x+5) to all terms of the equation.

2) Here, x-2 is not equal to -(x+2). If we see -(x+2) = -x-2 using the distributive property.

3) After multiplying by (3x-2) we will have:

[tex]x-1-(1-2x)=1-3x[/tex]

Apply the distributive property again, we will have:

[tex]x-1-1+2x=1-3x[/tex]

So the correct term is 2x not -2x.

4) When we multiply by (1-3x)(2x+3) on each side of the equation, we will have something like this:

[tex]\frac{4(1-3x)(2x+3)}{(1-3x)}=\frac{3(1-3x)(2x+3)}{(2x+3)}[/tex]

If we see we can simplify the same terms on each side of the equation.

[tex]4(2x+3)=3(1-3x)[/tex]

This is the correct way to do this.

I hope it helps you!

Answer:

u is 3.14118137

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(8)?

Answer:

Step-by-step explanation:

Answer:

Required equations:

Solve by substitution x = 8 - y

Find x:

Answer: 5 adults and 3 students

Equations:

Solve by elimination, subtract the equations:

Find x:

Answer: Gloves cost $8.5, hats cost $6.5

Answer:

Refer to explanation^

Step-by-step explanation:

Find out the value of each card.

4 - 10 = 6

-4 + (-10) which is -4 - 10 = -14

-4 + 10 = 6

4 + (-10) which is 4 - 10 = -6

4 - (-10) which is 4 + 10 = 14

-4 - 10 = -14

-4 - (-10) = -4 - 10 = -14

4 + 10 = 14

Find the cards which have the same value and just match them up.

Answer:

Step-by-step explanation:

c=.2, z=1.5(.2), n=1.5(1.5).2

s+c+z+n=1

s+.2+1.5(.2)+1.5(1.5).2=1

s+.2+.3+.45=1

s+.95=1

s=.05

So Sophia ate 5% of the pizza

Answer:

Sophia ate 5%.

Step-by-step explanation:

Caden ate 20%. Zoe ate 50% more than him, so 150% of 20%. That is 20+half of 20, which is 30. So zoe ate 30%. Noah ate 50% more than her, so 150% of 30%, which is 45%. Add them together and get 95%. That leaves 5% for Sophia to eat.

Answer:

[tex]\sqrt{29} ,6,2\pi ,3\sqrt{8}[/tex]

Step-by-step explanation:

Hello there!

First lets find the value of each irrational number

[tex]6 = 6\\\\\sqrt{29} =5.385164807\\\\2\pi =6.283185307\\\\3\sqrt{8} =8.485281374[/tex]

now we can easily put them in order from least to greatest

5.3,  6,   6.2,  8.4

then we change it to its irrational form

so the correct order would be

[tex]\sqrt{29} ,6,2\pi ,3\sqrt{8}[/tex]

Answer:

your answer will be Option D

Step-by-step explanation:

hope it helps

Answer:

x=−0.292355

Step-by-step explanation:

Answer:

4 miles traveled

Step-by-step explanation:

1.75 + 0.75m = 4.75.

4.75 - 1.75 = 3

3 ÷ 0.75 = 4

Answer:

B

Step-by-step explanation:

9514 1404 393

Answer:

  C.  12 m wide

Step-by-step explanation:

We note that the difference in dimensions is 4 m. This difference will remain the same when both sides are increased by the same amount. If x represents the short side, then the larger area is ...

  x(x +4) = 192

  x^2 +4x + 4 = 196 . . . . add 4 to complete the square

  (x +2)² = 14²

  x = 14 -2 = 12 . . . . . . . . positive square root

The new garden will be 12 m wide.