Mathematics Middle School

6/x +3=
3x- 6=
6 (x+3)=

tip: 6/x is a fraction

Answers

Answer 1
We don't know exactly what x is, so the best we can do is simplify these expressions. For 6/x+3, we know that both 6 and 3 are factors of 3, so using the distributive property, 3*2/x+3*1=3*(2/x+1). For 6(x+3), we can use the distributive property to get 6*x+6*3=6x+18. Good luck on the middle expression (I'd recommend using a similar strategy to the one I used), and feel free to ask any questions!

Related Questions

find the percent change from 70 to 56

Answers

This would be a 20% decrease. Since your going from 70 to 56, you would have a percentage of 20 for your decreasing percentage. The difference total is -14.

Step-by-step explanation:

Total Number = 70

Difference of two numbers = 70-56

= 14

Converting into percent = 14/70×100

= 20%

ASAP please help me

Answers

So his lawn can be divided into 4 shapes: 1 rectangle, 2 triangles, and an irregular shape. So you get the area of the rectangle which is 48*120=5,760.

For the part above the rectangle, you can see that the 2 triangles and the irregular shape make one large triangle so take the area of that. (I’m going to refer to this as the BIG triangle).
.5*40*120=2,400
The base of the triangle is equal to the base of the rectangle. The height of the triangle you get by subtracting the height of the WHOLE lawn by the height of the rectangle. (88-48=40).

Inside that large triangle made up of three shapes, you can see another triangle that’s made up of one triangle and the irregular shape. I’ll refer to this triangle as triangle 1.
Take the area of that triangle.
.5*25*75=937.5
The base of the triangle you get by adding the base of the smaller triangle and the irregular shape. (51+24=75)

Inside the triangle you just took the area of (triangle 1) is another triangle (which I’ll refer to as triangle 2). Take the area of triangle 2.
.5*51*17=433.5

Subtract the area of triangle 1 by the area of triangle 2 and that’ll give you the area of the irregular shape.
937.5-433.5=504

So now you add the areas of the BIG triangle and the rectangle.
5760+2,400=8160
Make sure you subtract the irregular shape since it isn’t part of the lawn’s area.
8160-504=7656

So the lawn is 7656 square feet. Multiply it by .005. That equals 38.28. That’s how much fertilizer he needs to use.

Multiply 1.25 to 38.28 to get the amount of money he needs to spend.

47.85 dollars

I might’ve made a few mistakes but I hope my reasoning was at least understandable

When I look at this figure, I see two polygons.
1) A large trapezoid with sides 48 ft and 88 ft, and non-parallel sides 136 ft and the top side that includes the dashed part.
2) A small trapezoid with parallel sides 17 ft and 25 ft, and non-parallel sides 24 ft and the dashed segment on top.

The area of the lawn is the area of the large trapezoid minus the area of the small trapezoid.

Area of trapezoid = (B + b)h/2
where B = large base, b = small base, and h = height.
(The height is perpendicular to both bases.)

Large trapezoid:
A = (88 ft + 48 ft)(120 ft)/2 = 8160 ft^2

Small trapezoid:
A = (25 ft + 17 ft)(24 ft)/2 = 504 ft^2

Area of lawn = area of large trapezoid - area of small  trapezoid

Area of lawn = 8160 ft^2 - 504 ft^2

Area of lawn = 7656 ft^2

Weight of fertilizer:
0.005 * 7656 = 38.28 lb

Cost of fertilizer:
1.25 * 38.28 = $47.85

fill in the blank to make an equivalent ratio
_ : 6 = 4 : 3

Answers

8 is the answer.
Basically for 3 to equal 6 you multiply it by 2, so if you do that to 4, you get 8.
To check ur answer u can do 8:6 can be simplified to 4:3 if you divide both by 2.
your answer will be 8 .

amanda read 15 pages of her 150-page book in 2 hours. At this rate, how long will it take her to read the entire book?

Answers

20 hours. You find this by dividing 150 by 10 and then multiplying that by 2. 
Hi there!

The answer to your question will be 20 hours!

Glad to help :)

is 3 yds less than 21 ft

Answers

3 yd = 9 feet

21 feet > 3 yd

hope this helps

What is the equivalent ratio to 64/256?

Answers

1:4 because both numbers can be divided by 64.

Help me out on this kne

Answers

The answer is C. 7 hundreds times 10 is the same as 700x10.
The answer is 7000, or 7 thousands. Hope this helps!!!!

Rhonda sells textbooks. Her paycheck is found using the formula p=30b+15, where b is the number of textbooks she sells. Solve the formula for b.

Answers

p = 30b + 15...subtract 15 from both sides
p - 15 = 30b...now divide both sides by 30
(p - 15) / 30 = b or 1/30p - 1/2 = b

How many numbers are in the list 2008, 2003, 1998, . . . 8, 3?

Answers

You would be subtracting 5 each year so that would be 1993.

(2008-3)/5+1=501+1=502

suppose a+b=2a. which one of these expressions equals b-a?
A. 2b
B. 2a
C. 0
D. a/b
E. -2b

Answers

If a + b = 2a, then

a + b - 2a = 2a - 2a
b + a - 2a = 2a - 2a
b - a = 2a - 2a = 0

Therefore, b - a = 0.
ANSWER

C.
[tex]0[/tex]

EXPLANATION

The given equation is

[tex]a + b = 2a[/tex]

We make b the subject to get,

[tex]b = 2a - a[/tex]

This simplifies to,

[tex]b = a[/tex]

Subtracting
[tex]a[/tex]
from both sides will give us,

[tex]b - a = a - a[/tex]


The right hand side will now simplify to zero,

Therefore

[tex]b - a = 0[/tex]

Solve the equation 2/9w=24

Answers

Final answer:

The solution to the equation 2/9w=24 is found by multiplying both sides by the reciprocal of 2/9, which is 9/2, to isolate w. Simplifying further, we get w = 54.

Explanation:

To solve the equation 2/9w=24, we start by isolating the variable w. To do this, we can multiply both sides of the equation by the reciprocal of the fraction that is multiplying w, which is 9/2.

The steps are as follows:

Multiply both sides by 9/2 to get rid of the fraction:(9/2) * (2/9)w = (9/2) * 24The 9/2 and 2/9 cancel each other out on the left side, leaving us with w alone.Now simplify the right side:w = 108/2Divide 108 by 2 to find w.w = 54

So the solution to the equation is w=54.

Final answer:

To solve the equation 2/9w = 24, multiply both sides of the equation by the reciprocal of 2/9. Simplify the expression to find the value of w, which is 108.

Explanation:

To solve the equation 2/9w = 24, we need to isolate the variable w. To do this, we can multiply both sides of the equation by the reciprocal of 2/9, which is 9/2. This gives us:

w = 24 * (9/2)

Simplifying the right side, we have:

w = 24 * 9 / 2

w = 216 / 2

w = 108

Therefore, the solution to the equation is w = 108.

What is the sum of the Linear expression 2n+6 and 6n-2

Answers

Hello there! ^-^ 

To solve, do the following. 

2n + 6 = 8n and 6n - 2 = 4n 

I think you can take it from here ;) 

If not just simply message me

The cost, in dollars, to rent a kayak is proportional to the number x of hours you rent the kayak. It costs $27 to rent the kayak for 3 hours. Write an equation that represents y.

Answers

Y = 9x. You have to divide 27 by 3 to get the nine

A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model. a. 4 in = 2 ft c. 8 in = 4 ft b. 1 in = 2 ft d. 8 in = 10 ft Please select the best answer from the choices provided

Answers

B. 1 in = 2 ft

4/8 ÷ 4 = 1/2

Rodney bought a 25- pound bag of dog food . His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds of the food in the second month. How much dog food , in pounds, was remaining in the bag at the end of the two months ? Show your work ..... How many pounds

Answers

102/5+10 4/5=20 2/5+4/5=21 1/5 ..... 25-21 1/5= 3 4/5
Hey there,   10 2/5 + 10  4/5 = 21   1/5   25 - 21   1/5= 3  4/5

There is 3 4/5 pounds left!

HOPE I HELPED!!!!!!!!!!!!!

A circuit board manufacturer can produce 2,000 boards per hour. How many days will it take to produce 16,500 if the company has a 10 hour work shift? How many days will it take to produce 16,500?

Answers

Hi Mrsdiaz1jd1977owwfvt!
OK so 2,000 boards per hour in 10 hours is 2,000*10=20,000 boards in 10 hours. So it can produce 16,500 boards in less than a day.
I may be wrong but I hope this helps!

Answer:

it will take less than one day.

Step-by-step explanation:

A circuit board manufacturer can produce 2,000 boards per hour.

If the company has a 10 hour work shift.

manufacturer can produce in one day  = 2000 × 10 = 20,000

To produce 16,500 boards, they need time = 16,500 ÷ 2000  = 8.25 hours

The company will take to produce 16,500 boards in 8.25 hours less than one day.

what is 65% of 300!???

Answers

300 x 0.65 = 195.

65% of 300 is 195. 
To find the percent of a number, you have to multiply the number by the percent.

300 * 65% = 195

Find the LCM of n^3 t^2 and nt^4.

A) n 4t^6
B) n 3t^6
C) n 3t^4
D) nt^2

Answers

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are [tex]n^3t^2[/tex] and [tex]nt^4[/tex].

The factored form of each term is

[tex]n^3t^2=n\times n\times n\times t\times t[/tex]

[tex]nt^4=n\times t\times t\times t\times t[/tex]

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

[tex]LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t[/tex]

[tex]LCM(n^3t^2,nt^4)=n^3t^4[/tex]

The LCM of given terms is [tex]n^3t^4[/tex]. Therefore the correct option is C.

Answer: C) n 3t^4

Step-by-step explanation:

Definition : The least common multiple (LCM) of any two expressions is the smallest expression that is divisible by both expressions.

Given expressions : [tex]n^3 t^2 \text{ and } nt^4[/tex]

Factorization form of [tex]n^3 t^2 \text{ and } nt^4[/tex] will be :

[tex]n^3 t^2 =n\times n\times n\times t\times t[/tex]

tex]nt^4 =n \times t\times t\times t\times t[/tex]

The least common multiple of [tex]n^3 t^2 \text{ and } nt^4[/tex] :

[tex]n^3 t^2 =n\times n\times n\times t\times t\times t\times t=n^3t^4[/tex]

Hence, the LCM of   [tex]n^3 t^2 \text{ and } nt^4=n^3t^4[/tex]

Thus , the correct answer is option C).

Of 140 seventh grade students, 15% earn the presidential physical Fitness award. How many students earn the award

Answers

To find this answer you need to multiply the percent by the total, in this case 15% times 140. Remember to change the percent into a decimal (0.15). 

0.15 (140)= 21

21 people earned the award

For which of the following is the arc between the two hands of a clock greater than a semicircle?


The hands are at 11 and 6; arc measured counterclockwise

The hands are at 2 and 8; arc measured clockwise

The hands are at 2 and 8; arc measured counterclockwise

The hands are at 11 and 6; arc measured clockwise

Answers

Hi there!
The answer to your query is C) The hands are at 2 and 9; arc measured counterclockwise. We can find this by plotting all the choices on a clock. Hope this helps! 

Find the greatest common factor of 25x^2 and 20b^4

Answers

25x^2 = 5 (5x^2)
20b^4 = 5 (4b^4)

so GCF = 5

I need the answer for #4 a&b

Answers

im an idiot and I actually just need to get points so sorry this won't help you 

Hank has 48 fish in his aquarium. He has 11 times as many tetras as quppies. How many of each type of fish does Hank have?

Answers

He has 4 Quppies and 44 tetras
4 quppies and 44 tetras


HELP PLEASEEE 35 POINTSS WILL GIVE BRAINLIEST
Which is a correct two-column proof?

Given: Prove: L ll N

Answers

i am pretty sure its b
Your answer is going to be D none of these because supplementary angles are angles that two letters are across from its not A because G, and Z are correct but not H, and X its not B because neither H, and X are not supplementary angles and when it came down to rather C, or D I choose D because neither H, and X or E, and X are supplementary angles that's why I had to choose D because it was the only logical answer.                                                                                            Your answer is D. 

Mae Ling earns a weekly salary of 400 plus a 7% commission sales in a gift shop. How much would she make in a work week if she sold 4,700 worth of merchandise.

Answers

Im pretty sure its 4,771 but id double check with a calculator

triangle ABC is an obtuse isosceles triangle. angle a measures 20°. what is the number of degrees in the measure of the largest interior angle of tiangle ABC

Answers

The largest angle must be the single angle, so there are two angles that are 20 degrees. 20 + 20 is 40, and because the sum of all angles in a triangle is 180 degrees, you must subtract 180 - 40, and you get 140 degrees as the largest angle. Hope this helps!

If you select a card at random, what is the probability of getting:A number smaller than 5 (counting the ace as a 1)?

Answers

4 Aces, 4 2's, 4 3's 4 4's

= 16 cards total out of 52 cards

 so probability would be 16/52 which reduces to 4/13

the probability of selecting a card smaller than 5 is [tex]\ = \frac{2}{5} \).[/tex]

Step 1

To calculate the probability of selecting a card with a number smaller than 5 (considering the ace as 1), we need to determine how many cards meet this condition and divide it by the total number of cards in the deck.

There are 4 suits in a standard deck of cards, each with cards numbered from 1 to 10 (excluding face cards).

For each suit, the numbers smaller than 5 are 1, 2, 3, and 4.

Step 2

So, for each suit, there are 4 cards smaller than 5.

Since there are 4 suits, the total number of cards smaller than 5 is [tex]\(4 \times 4 = 16\).[/tex]

Step 3

The total number of cards in the deck is [tex]\(4 \times 10 = 40\)[/tex], considering 4 suits with 10 cards each.

Therefore, the probability of selecting a card smaller than 5 is [tex]\( \frac{16}{40} = \frac{2}{5} \).[/tex]

describe the steps you used to solve the equation and find the amount of carries allowance. linear equation: 1/4a+1/3a+8=22

Answers

1/4a + 1/3a +8 =22

1st step add like terms:

1/4a +1/3a = 3/12a +4/12a = 7/12a

7/12a +8 =22

2nd step subtract 8 from each side:

7/12a = 14

3rd step divide both sides by 7/12 to get a:

a = 14 / 7/12

a = 24

Answer:

.

Step-by-step explanation:

1/4a + 1/3a +8 =22

1st step add like terms:

1/4a +1/3a = 3/12a +4/12a = 7/12a

7/12a +8 =22

2nd step subtract 8 from each side:

7/12a = 14

3rd step divide both sides by 7/12 to get a:

a = 14 / 7/12

a = 24

What is the smallest power of 10 that would exceed 999,999,999,991

Answers

69..............should of listened in class
10 to the power of 11 = 100000000000

3/5 List the first five multiples of the denominator of the fraction in order.

PLS I WILL GIVE 20 POINTS AND BRAINLIEST

Answers

5: 5, 10,15,20,25 ( Not sure if 5 counts as one, if it does not, then 30 is another multiple.)
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