Simplify the following expression

Answer:

Length of the garden = 13 ft

Width of the garden = 9 ft

Step-by-step explanation:

Let the length of my new garden = l ft

It's given in the question,

width of the garden = 9 ft

Formula to calculate the perimeter of a rectangle is,

P = 2(L + W)

Where L = length of the garden

W = width of the garden

P = perimeter of the garden

Length of the fence = 44 ft

By substituting values in the formula,

44 = 2(l + 9)

22 = l + 9

l = 22 - 9

l = 13 ft

Therefore, length of my new garden = 13 ft

Width of the garden = 9 ft

Answer:

466895

Step-by-step explanation:

If you know the conversion, it's easy.

1 US dollar is about 1.37322 Australian.

so, you multiply 340,000 times 1.37322 and get about 466895 Australian dollars

Answer:

1:8

33:8

1:1

88:99

6:7

235:9

Answer:

x=−1

Step-by-step explanation:

Let's solve your equation step-by-step.

−5x−16+3x=−23−9x

Step 1: Simplify both sides of the equation.

−5x−16+3x=−23−9x

−5x+−16+3x=−23+−9x

(−5x+3x)+(−16)=−9x−23(Combine Like Terms)

−2x+−16=−9x−23

−2x−16=−9x−23

Step 2: Add 9x to both sides.

−2x−16+9x=−9x−23+9x

7x−16=−23

Step 3: Add 16 to both sides.

7x−16+16=−23+16

7x=−7

Step 4: Divide both sides by 7.

7x

7

=

−7

7

x=−1

Answer:

x=−1

Answer: x= -1

Step-by-step explanation:

Answer:

hello!

ninety two is a term, an expression, a constant but not a variable

hope it helps you!

Answer:

Ninety-two is all of the following except a variable

Answer:

-(33+110z)/10z

Step-by-step explanation:

(-7/2z +4)+(1/5z -15)

from BODMAS, solving the one in the bracket

First(-7/2z +4)+(1/5z -15)

Find the Lcm

[-7/2z +4] +[1/5z -15]

(7+8z)/2z +(1-75z)/5z

find the Lcm which is 10z

[5(-7+8z) + 2(1-75z)]/10z

[(-35+40z)+(2-150z)]10z

(-35+2+40z-150z)/10z

(-33-110z)/10z

-(33+110z)/10z

The sum of the expression {(-7/2z) + 4} + (1/5z) - 15} is - 6/5z - 11.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The sum of {(-7/2z) + 4} + (1/5z) - 15}.

= (-7/2z) + (1/5z) + 4 - 15.

= (-14 + 2)/10z - 11.

= - 12/10z - 11.                                    (LCM of 2z and 5z is 10z)

= - 6/5z - 11.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

15:20:8

Step-by-step explanation:

You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.

4 x 5 = 20

So we can correct the first ratio.

3 X 5 = 15

So the ratio of men to women is 15:20.

Now we find the ratio of women to children.

4 x 5 = 20

4 x 2 = 8

The ratio of women to children is 20:8.

Now that we have the same number in each ratio for women, we can combine them.

The ratio of men to women to children is:

15:20:8

Answer:

14

Step-by-step explanation:

AB + BC = AC

[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]

AB = 4 + 10 = 14

Answer:

Step-by-step explanation:

AB + BC = AC

x + 10 + x + 14 = 32

2x + 24 = 32

   -24       -24

 2x  =  8

 ÷2     ÷2

  x = 4

AB = x+10 = 4+10 = 14

Answer:

answers are in the boxes

(100 / 1,000,000) × 100% = 0.01%

x = amount of money the student has to give.

(x / 100) × 100% = 0.01%

We can cancel out the 100's

x = $0.01

The student would have to give $0.01 or 1 cent

Answer:

$3,852

Step-by-step explanation:

Total for 4th grade: 2,124

5th grade: raised 396 less

2,124-396= total amount 5th graders raised

2,124-396=1,728

2,124+1,728=3,852

They raised $3,852 dollars.

Answer: 3,852

there you go

Answer:

- 12/7|x-9.6|+12.8

Step-by-step explanation:

Answer:

It would be $ 8.25 without the tax.

Step-by-step explanation:

If you add $2.75(the cost for bowling shoes) then multiply the cost for one bowling game by 3, since she played 3 games, then add that to the cost of shoes, then add the cost for the food, which gives your $12.00. Then take 50% of the price of bowling games. Which is $3.75. Then replace that with the original price of the 3 bowling games! Which gets you.....$8.2 for the total cost without tax

The number of Girls in a school is 180.

Find the number of girls​.

There are girls in a school = 3/7

Number of boys in a school = 240

Assume that there are x students in a school.

Number of Girls = 3/7 of All Students.

= 3/7 of x

= 3x/7

We know that,

Total Students = Number of Boys + Number of Girls.

240 + 3x/7 = x

240 = x - 3x/7

240 = (7x - 3x) /7   (Taking L.C.M.)

240 × 7 = 4x

x = 60 × 7

x = 420

Total number of Students in a school is 420.

Thus, Number of Girls = 3/7 × x

= 3/7 × 420

= 180

So,  the number of Girls in a school is 180.

Learn more about problems on find the number.

https://brainly.com/question/2735227

Answer:

work is pictured and shown

Answer: C

Step-by-step explanation:

To find f(g(x)), you plug in g(x) into f(x).

[tex]f(g(x))=\sqrt{(8x-12)+8}[/tex]                [combine like terms]

[tex]f(g(x))=\sqrt{8x-4}[/tex]                           [factor]

[tex]f(g(x))=\sqrt{4(2x-1)}[/tex]                      [square root of 4]

[tex]f(g(x))=2\sqrt{2x-1}[/tex]

Now, we know that the answer is C.

Answer:

[tex]8i^{22}[/tex] - 1

Explanation:

It's actually quite easy to tell which simplifies to a real number without working out the problem.

[tex]i^{2}[/tex] = -1

Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.

Some tips for fully solving the expression:

If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because [tex]i^{4}[/tex] = [tex](i^{2})^{2}[/tex] = [tex](-1)^{2}[/tex] = 1

If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.

Answer:

Step-by-step explanation:

h(2) = (2)^2 + 3(2) + 2 = 4 + 6 + 2 = 12

12 is the answer

Answer:

rational

Step-by-step explanation:

Answer:

.9274 is a integer

Step-by-step explanation:

rational numbers have to be able to be written as a fraction.

.9274 is not a whole number.

therefore it is an integer.

Answer: 212.81

C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place

Step-by-step explanation:

What is 212.809 rounded to the nearest hundredth?

When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.

Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,

212.809 = 212.81 to nearest hundredths

Answer:

6,050 would be the right answer

Step-by-step explanation:

Answer: Robert put 5 * (8) * 2 instead of putting 5 * (-8) * 2

Please Mark me as brainliest

Answer:

6

Step-by-step explanation:

The I  I is just absolute value, so it will give a positive result. if a=7,

3I-7+5I

-7+5=-2, but because this is absolute value, -2=2

Then you have 3(2),

3*2=6

Step-by-step explanation:

7x^4+2xy-5y^3

+2x^4+3xy+2y^3

=9x^4+5xy-3y^3

Answer:

Step-by-step explanation:

If you have the area just divide it by 4 and that will give you the answer .

A square has all equal sides

Answer:

a = 5

Step-by-step explanation:

You have to isolate the variable by dividing each side by factors that don't contain a variable.

Answer  or  i can giv u the ansur if you want it

Step-by-step explanation:

Answer:

- 2x

Step-by-step explanation:

Step 1:

- 12x + 10x

Answer:

- 2x

Hope This Helps :)

Answer:

-2x

Step-by-step explanation:

Like the other problem, we want to combine our like terms(in this case, all terms with x's). In order to do this, all you have to do is ignore the x's and then add the numbers together. -12 + 10 = 2. Now that we've added them together, you can add the x back to get 2x.

Answer:

43°

Step-by-step explanation:

Angles A and B are supplementary

i. e. angle A + angle B =180°

137° + angle B =180°

angle B=180°-137°

=43°

Answer:

x = 140.3333333........

Step-by-step explanation:

17x+421 = 14x

move the numbers with x's to the left and 421 to the right so it makes

17x then 14x is positive but moved to the opposite side it becomes negative.

Then 421 is positive on the left so moved to the right makes it negative.

Which is 17x-14x=(-421)

then you do 17x mines 14x which is 3x

3x = (-421)

Now your goal is to isolate your variable x. So divide both sides by 3 because x is multiplied by three you need to do the opposite.

x = 140.3333333..........

Answer:

Solution: x = 6;

Extraneous Solution: x = - 2

Step-by-step explanation:

Answer:

[tex]b=\frac{32}{3}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}b=8[/tex]

Multiply both sides by 4:

[tex]4\times \frac{3}{4}b=8\times4[/tex]

[tex]3b=32[/tex]

Divide both sides by 3:

[tex]\frac{3b}{3}=\frac{32}{3}[/tex]

[tex]b=\frac{32}{3}[/tex]