explanation & answer

Explanation & Answer

Answers

Answer 1

Answer:

The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].

Step-by-step explanation:

The given problem is [tex]\displaystyle \frac{2x}{3}+\frac{(3)x-2}{2}[/tex] .

Let's start by finding common denominators for the fractions so that we can add them. The simplest common denominator is 6; we multiply [tex]\frac{2x}{3}[/tex] by [tex]\frac{2}{2}[/tex] and [tex]\frac{3x-2}{2}[/tex] by [tex]\frac{3}{3}[/tex].

[tex]\displaystyle \frac{2x}{3} \times \frac{2}{2} =\frac{4x}{6}[/tex][tex]\displaystyle \frac{3x-2}{2} \times \frac{3}{3} = \frac{3(3x-2)}{6} = \frac{9x-6}{6}[/tex]

Now, since the fractions have common denominators, we can add them together.

[tex]\displaystyle \frac{4x}{6} + \frac{9x-6}{6} = \frac{13x-6}{6}[/tex]

The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].


Related Questions

What is the slope of the line shown below?
(-6,3)
(12,6)
A. -1/6
B. -6
C. 6
D. 1/6

Answers

Answer:D

Step-by-step explanation:

The slope of a line will be 1/6. Then the correct option is D.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

Slope = (y₂ - y₁) / (x₂ - x₁)

The points are given below.

(-6,3) and (12,6)

(x₁, y₁) = (-6,3)

(x₂, y₂) = (12,6)

Then the slope of a line will be

Slope = (6 – 3) / (12 + 6)

Slope = 3 / 18

Slope = 1/6

Then the correct option is D.

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ2

Taffy Twists candy company keeps the same ratio of pieces of strawberry candy to banana candy in their packs. The Mega Pack has 40 strawberry candies and 50 banana candies. The Party Pack has 20 strawberry candies.
How many banana candies are in the Party Pack?

Answers

Answer:

25 bananas

Step-by-step explanation:

You halved the strawberry number (from 40 to 20) ....half the banana number = 25

How many real-number solutions does the equation have?

0=-7x² +6x+3

A: one solution
B: two solutions
C: no solutions
D: infinitely many solutions​

Answers

The answer would be B. Two solutions

Answer: B. two solutions

im guessing

Question is in image below. ​

Answers

Answer:

-9/25, -0.bar 3, √24, 4.92

Answer:

[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]

Step-by-step explanation:

We first have to expand -0.3, -9/25, and sqrt(24). Then we determine which is least and which is greater.

-0.3 = -0.3333...
-9/25 = -0.36

[tex]\sqrt{24}[/tex] ≈ 4.8989799486

4.92

[tex]-\frac{9}{25} < -0.3 < \sqrt{24} < 4.92[/tex]

Evaluate the lender's good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

Answers

The lender's good faith estimate is D. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

Who is a lender?

It should be noted that a lender simply means an individual or an organization that lends people money.

In this case, the lender's good faith estimate is that the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

Learn more about lender on:

https://brainly.com/question/25882989

Answer:

It's

A: The lender made a very good estimate; it was within 0.25% of the actual closing costs.

Step-by-step explanation:

HELP ME WITH THIS LOL

Find the value of X if a = 25 and b = 11, Round to the nearest tenth.

Answers

Answer:

x = 19.9

Step-by-step explanation:

These kinds of problems have a specific formula.

Formula: outside (whole) = outside (whole)

We could substitute our variables into this.

For the first line, our outside segment is b and the whole thing is a + b

For the second line, our outside segment is x, and the whole thing is x.

[tex]b (a+b) = x(x)\\11 (25+11) = x^2\\11 (36) = x^2\\396 = x^2\\\\x=\sqrt{396}[/tex]

The [tex]\sqrt{396}[/tex] = 19.8997487421

Rounding to the nearest tenth, your answer is 19.9

Which is the same as dividing a number by 10?

pls help I need it pls

Answers

Answer:

Splitting that number into 10 equal wholes.

Step-by-step explanation:

(fractions)

distributive property​

Answers

Answer:

9 x 6=  9 x ( 3+3 )

= 9 x 3 + 9 x 3

= 27 + 27

= 54

Step-by-step explanation:

What is the solution of x = 2 startroot x minus 2 endroot? x = 2 x = 3 x = 2 or x = 3 no solution

Answers

Radical expression are expressions that contains square root. The value of x from the given radical expression is 3

Radical equations and expression

Given the equation expressed as:

x = 2 + √x - 2

Subtract 2 from both sides

x - 2 = √x - 2


Square both sides

(x-2)^2 = x - 2

x - 2 = 1

x = 1 + 2

x = 3

Hence the value of x from the given radical expression is 3

Learn more on radical expression here: https://brainly.com/question/738531

Answer:

B x = 3

Step-by-step explanation:

Can someone please help me ASAP
Find the length of the unknown side of each triangle.

Answers

Answer: Using the Pythagorean Theorem

Step-by-step explanation:

The Pythagorean theorem states that a^2+b^2=c^2.

For 51, Here would be the step by step (you would do the same thing for 52, follow the formula)

[tex]6^{2} + 3^{2} =c^{2} \\36+9= c^{2} \\45=c^{2} \\\sqrt{45} =\sqrt{c^{2} } \\c= 6.7[/tex]

For 53 (and 54), c is already provided. Instead of adding, do this (again, follow the formula):

[tex]a^{2} + 3^{2} = 7^{2} \\a^{2} + 9 = 49\\a^{2} + 9 = 49\\a^{2}= 40\\\sqrt{a^{2}} =\sqrt{40} \\a= 6.32[/tex]

I hoped this had helped.

What is the equation of a line, in point slope form, that passes through (5, 3)and has a slope of ⅔​

Answers

Answer:

y - 3 = 2/3(x - 5)

Step-by-step explanation:

Formula:

y - y1 = m(x - x1)

It doesn't apply to this problem but keep in mind that two negatives make a positive so instead of writing, for example, y - (-5), you can just write y +5.

Makes it a lot cleaner and easier to work with.

Hope this helps you :)

3.5
B
S
A
7
ΔΑΒC ~ ΔQRS
Find the value of t.
Τ
4
C
R

Answers

Answer:

x = 0.5

Step-by-step explanation:

3.5/x = 7/4

3.5/x * 1/3.5 = 7/4 * 1/3.5

x = 7/14

x = 1/2

x = 0.5

Stefon is paid $25 to mow a lawn. This amount is $4 less than twice the amount he received when he first began mowing. Use the model to determine x, the amount Stefon received when he first began mowing

Answers

Answer:

He used to receive $14.50.

Step-by-step explanation:

Let x = amount he used to receive.

Now he receives 2x - 4.

Now he receives $25.

2x - 4 = 25

2x = 29

x = 14.5

Answer: He used to receive $14.50.

Answer:14.5

If you want a full step explanation:   https://brainly.com/question/19345016            

Please do help me with this math problem.

Answers

y = -1/6 x+1


Y= (slope)x + y- intercept
Slope is decreasing by -1/6

What is 8 divided by 1/2

Answers

It’s 4 cause half of 8 is 4

Answer:

[tex]8 \div \frac{1}{2} = 8 \times \frac{2}{1} = 8 \times 2 = 16[/tex]

3x + 14 / 8 = -5

And also need to do the check ‍♀️

Answers

-9/4 or -2 1/4

Hope this helps

If x - 3/x = 7 find i) x² + 9/x²
ii) x + 3/x
iii) x² - 9/x²

Answers

[tex]\text{Given that,}\\\\x-\dfrac 3x = 7\\\\\\\textbf{i).}\\\\\\x^2 + \dfrac 9{x^2}\\\\\\=x^2 + \left(\dfrac 3 x \right)^2\\\\\\=\left(x- \dfrac 3x \right)^2 + 2 \cdot x \cdot \dfrac 3x\\\\\\=7^2 +6\\\\\\=55[/tex]

[tex]\textbf{ii)}\\\\~~~~~\left(x+\dfrac 3 x \right)^2 = \left( x - \dfrac 3x \right)^2+4 \cdot x \cdot \dfrac 3x\\\\\\\implies \left(x+\dfrac 3 x \right)^2 = 7^2 +12\\\\\\\implies \left(x+\dfrac 3 x \right)^2 =61\\\\\\\implies x+ \dfrac 3x = \pm\sqrt{61}\\\\\\[/tex]

[tex]\textbf{iii)}\\\\\\x^2 -\dfrac 9{x^2}\\\\\\=x^2 - \left(\dfrac 3{x} \right)^2\\\\\\=\left( x-\dfrac 3x \right)\left( x+\dfrac 3x \right)\\\\\\=7\sqrt{61}~~ \text{or}~~ -7\sqrt{61}[/tex]

Peter is packing toys into boxes each box holds 30 toys they are 94 toys and 3 boxes how many toys are there left

Answers

Answer:

4

Step-by-step explanation: You want to divide 94 by 30 and you 3 with a remainder of 4.

Answer: 4 toys

Step-by-step explanation:

     We will multiply 3 by 30 for how many toys he can currently put into boxes.

3 * 30 = 90

     Now we will subtract this from the total number of toys for our answer.

94 - 90 = 4

          There are 4 toys left.

If a = 12 feet, b = 6 feet, c = 2 feet, d = 15 feet, and e = 3 feet, what is the area of the object?

Answers

Answer:9282

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!
Logan calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: geography, math, English, and theater.

geography: MAD of 3.5

math: MAD of 1.36

English: MAD of 1.8

theater: MAD of 3.15

In which class were his scores the closest together?


A. math

B. theater

C. English

D. geography

Answers

Answer: the answer is Math and i took the test

Please read the picture

Answers

45.6 please give brainliest

This solid is a hemisphere with a 90° slice removed and a radius of 12

Answers

Answer:

Step-by-step explanation:

u don't know this silly question

by how much is (3/4 + 1/12 + 2/3) greater than 1 ​

Answers

Hey there!

3/4 + 1/12 + 2/3

= 5/6 + 2/3

= 5/6 + 4/6

= 5 + 4 / 6

= 9 / 6

= 9 ÷ 3 / 6 ÷ 3

= 3/2
≈ 1.5


1.5 - 1 = 0.5

Therefore, your answer is: 0.5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

before his shopping spree, Ahab owned 11 hats. Then he bought 33 more hats. what is the ratio of hats purchased to the resulting total number of hats.

Answers

Answer: 3:4
First step: 33 hats are purchased
Second step: for total number of hats you would do 33+11=44
Third step: simplify the ratio 33:44 —> 3:4

1+3+5+7+...+25 is subtracted from 2+4+6+8+...+26. The answer is​

Answers

[tex]S_1 = 2+4+6+8+...+26 \\\\~~~~=2(1+2+3+4+...+13)\\\\~~~~=2 \cdot \dfrac{13(13+1)}2~~~~~~~~;\left[\text{Sum of consecutive positive integers }= \dfrac{n(n+1)}2 \right] \\\\~~~~=13 \cdot 14\\\\~~~~=182\\\\S_2 = 1+3+5+7+...+25\\\\\text{It is an arithmetic series wihere}\\\\\text{First term, a =1, ~Common difference, d = 2,~ number of terms = n} \\\\~~~~\text{Nth term} = a+(n-1)d\\\\\implies 25 = 1+(n-1)2\\\\\implies 2n-2 = 24\\\\\implies 2n = 24+2\\\\\implies 2n= 26\\\\[/tex]

[tex]\implies n = \dfrac{26}2 \\\\\implies n= 13\\\\\text{S} _2= \dfrac{\text{n(First term+ Last term)}}{2}\\\\~~~~~~=\dfrac{13(1+25)}2\\\\~~~~~~=\dfrac{13 \times 26}2\\\\~~~~~~=13 \times 13\\\\~~~~~~=169\\\\\text{Hence,}~~ S_1 - S_2 =182 - 169 =13[/tex]

Answer:

13

Step-by-step explanation:

2 + 4 + 6 + 8 + ...... + 26

n = 13

Sum of first 'n' even numbers = n( n +1)

                                                 = 13 * 14

                                                  = 182

1 + 3 + 5 + 7 + .....+25

n = 13

Sum of first 'n' odd numbers = n²

                                               = 13 * 13

                                               = 169

2 + 4 + 6 + 8 + ... + 26 - (1 + 3 + 5 + 7 + ......+25) = 182 - 169

                                                                            = 13

Ayana's favorite brownie recipe calls for
1
2
of a cup of flour for every
1
3
of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?

Answers

Answer: 12-233 24353252345

Step-by-step explanation:

Ayana's favorite brownie recipe calls for

1

2

of a cup of flour for every

1

3

of a cup of cocoa powder. For a bake sale, she plans to make a larger batch with 1 cup of cocoa powder. How much flour should she use?

Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

Answers

Answer:

(x + 2)(x + 8)

Step-by-step explanation:

x² + 10x + 16

consider the factors of the constant term (16) which sum to give the coefficient of the x- term.

the factors are + 2 and + 8 , since

+ 2 × + 8 = + 16 and + 2 + 8 = + 10 , then

x² + 10x + 16 = (x + 2)(x + 8) ← in factored form

Answer:

answer in picture

Step-by-step explanation:

Select all of the inequalities that are true if x = 4. (Select all that apply.) x<2 x<10 x<4 x>4 x>8​

Answers

Answer:

x<10

Step-by-step explanation:

I think that's the only one

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

don't understand at all

Answers

Step-by-step explanation:

you would have to add the the sides and use context to find out the blank rectangles

there is a total of 10 pages of homework. sophia worked on some pages on monday if she has 3 pages left how many pages did sophia work on monday?

Answers

Answer:

7

Step-by-step explanation:

Since, Sophia had three pages of homework and she only has three left you can set up an equation to solve. The equation would be 10=x-3, then you just solve the equation which would be 7, hope that helped.

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