1/6(x-5)=1/2(x+6) help

Answers

Answer 1

Answer: x= -23/2

Step-by-step explanation:

multiply both sides of the equation by 6

x-5=3(x+6)

distribute 3

x-5=3x+18

move variables to lest-hand side and change sign

x-3x=18+5

like terms

-2x=23

the divide both sides by -2

x= -23/2


Related Questions

This shows the trapezoid cut into two triangles what are the areas of the two triangles?

Answers

First we need to calculate the area of that bottom triangle using the formula: Area=ah/2
Area=4•1/2=2
In trapezoid, diagonal cuts it to two triangles with same area, so the area of the second triangle would be 2 as well
Answers are 2 and 2

3. Which rule represents a linear function? Check all
that apply.
O A. y=-5x
C. Y= X-3
Q B. y=x4

Answers

The answer is C

The answer is C because the function form for a linear function is f(x) = ax+b and the answer C has x which is the slope and -3 which would represent the y-intercept also known as b

List the next three terms in the following sequence:

1, 2, 4, 7, 11, 16,...

Also list the number that would be the twentieth number in the sequence.
a.
23, 31, 40; 200
b.
23, 31, 40; 191
c.
22, 28, 35; 185
d.
22, 29, 37; 191

Answers

Answer:

The answer is D

Step-by-step explanation:

Each time sum of previous number and position of that previous number in given series, with the formula being:

previous number + position of previous number = next number

For example, 7 is in the 4th spot so 7+4=11.

Answer:

d

Step-by-step explanation:

What is the answer to this question?

Answers

Answer:

D

Step-by-step explanation:

so they ran the trial ten times so now you have to aks how many times did they get heads

which would be 2/10 times

you want the accuracy of which they got so divide 2/10

we know the probability of getting heads is 50%

so when you calulate it, it will give you 0.2 use the percent button and get 0.1

25624 divided by 2/3

Answers

Answer:

38436

Step-by-step explanation:

(25624/1) * (3/2) = 76872/2

76872/2 = 38436

Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?

Answers

Answer:

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

Step-by-step explanation:

Given that:

Distance walked from school to Bocas house = 1/4 miles

Distance walked from Paul's house to the park = 4/6 miles

Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]

Total distance walked = [tex]\frac{3+8}{12}[/tex]

Total distance walked = [tex]\frac{11}{12}[/tex] miles

Hence,

Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles

What is this equation in slope intercept form

Answers

Y= 2x -4 is the answer

What is 3 p +2 ( 5p - 3 )

Answers

Answer:

15p + -6

Step-by-step explanation:

3p+2 * (5p-3)
15p^2 -1

For a science experiment, students need to find 25% of 60 grams. How many grams is that?

Answers

Answer:
15 grams.

Explanation:
25% of 60 = 15

Graph the function.
f(x)= 3/5x}=-5

Answers

Start at negative 5 since that’s your y-intercept.
Since 3/5 is your slope and slope equals rise over run you go up 3 units and go right 5 units.

I WiLL GiVe BrAnYeSt

Molly has 7,406 stickers in her collection. She wants to put them into a book. She can fit 14 stickers on each page. How many pages will she need? (1 point)
A.520
B.529
C.538
D.547

Answers

Answer:

the answer is 529

Step-by-step explanation:

divide 7,406 and 14 and the answer is 529

Which math expression means "the product of an unknown number and 110"? O A. x+110 B. X. 110 C. X-110 D. x+ 110 please help me i give you 20 points and follow you​

Answers

Answer:

x*110

Step-by-step explanation:

Answer:

It is B: x * 110

Step-by-step explanation:

A piece of furniture has a retail price of $780 and it’s on sale at a 20% discount what will the sale price of the piece of furniture before taxes

Answers

Answer:

624$

Step-by-step explanation:

HELP! ASAP!! Will Mark brainliest!

Answers

I think it’s D
Sorry if I’m wrong

Answer:

The Answer is D.

Step-by-step explanation:

The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.The answer is D and credit goes to munequitarachel.

Totally blanking on how medians work

Answers

Answer: FC = 16

===============================================

The three medians of this triangle are:

PFREQD

These segments go from one vertex to the midpoint of the opposite side.

The median we'll focus on is PF.

The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC

In other words,

CF = 2*PC

This means,

PF = PC+CF .... segment addition postulate

PF = PC+2*PC ... replace CF with 2*PC

PF = 3*PC .... combine like terms

So the median PF is three times the length of its portion PC

We're told that PF = 24

We can then find the following:

PF = 3*PC

24 = 3*PC

3*PC = 24

PC = 24/3

PC = 8

Then we double this to get the length of CF

CF = 2*PC

CF = 2*8

CF = 16

This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.

The final answer is 16.

Evaluate x^2 + 2x -1 when x = -3
help

1. -2
2. 2
3. 16
4. -15

Answers

Answer:

2

Step-by-step explanation:

just put -3 to x

9-7=2

X^2 + 2x - 1 when x = -3
= -3^2 + 2(-3) -1
= 9 - 6 - 1
= 3 - 1
= 2
So the answer to this question is 2.
Also, I just want to say happy new year to you and also, have a fantastic rest of your day.
Also, can you please mark my answer as the brainliest answer?
Thank you!!

Using Properties to Simplify Expressions
Instruction Active
Matching Equivalent Expressions
Match each expression on the left with an equivalent expression on the right
PLS HELP

Answers

Answer:

1) 2x-3 = x -3 + x

2) 2x - 6 = -6 + 2x

3) [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]

4) 3x+0 = 3x

5)  [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

Step-by-step explanation:

We need to match each expression on the left with an equivalent expression on the right

The expressions are equivalent if the have the same results.

1) 2x - 3

Looking at the options the best match is:

x -3 + x

When solve we get:

2x-3

So, 2x-3 = x -3 + x

2) 2x - 6

Looking at the options the best match is:

-6 + 2x

Because according to commutative property: a+b = b+a

So, 2x - 6 = -6 + 2x

3) [tex]\frac{3}{5}-\frac{13}{5}[/tex]

First simplifying the given expression:

[tex]\frac{3}{5}-\frac{13}{5}\\=\frac{3-13}{5}\\=\frac{-10}{5}\\=-2[/tex]

Looking at the options, -6.9+4.9 = -2

So, [tex]\frac{3}{5}-\frac{13}{5}=-6.9+4.9[/tex]

4) 3x + 0

Looking at the options the best match is:

3x

Because, adding 0 in 3x will result in 3x

So, 3x+0 = 3x

5) [tex]\frac{5}{3}-x+\frac{1}{3}[/tex]

First simplifying:

[tex]\frac{5}{3}-x+\frac{1}{3}\\=\frac{5-3x+1}{3}\\=\frac{6-3x}{3}\\= \frac{3(2-x)}{3}\\=2-x[/tex]

Now, solving the option: [tex]-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

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

So, [tex]\frac{5}{3}-x+\frac{1}{3}=-\frac{3}{2}x+2+\frac{1}{2}x[/tex]

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it

Answers

Answer:

[tex](f-g)(x)=2x-3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

By substitution:

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

Simplify. Distribute:

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

Rearrange:

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

Therefore:

[tex](f-g)(x)=2x-3[/tex]

Need Heeeeeelp please ...

Answers

the answer is red of all

the ratio of boys to girls in a group of 2:1. if there are 22 more boys than girls, work out how many people there are in a solo

Answers

Answer:

There is 11 girls but 33 people in solo

2x + 5/4 = -5 -4x/12
Solve for x to make the proportion true.

Answers

I did the math on Photomath so here is what I got.

i need help with this!! i have to get my hw done quick!!

Answers

Step-by-step explanation:

221+w=274..................

.......

Answer:

53 + 221 = 274

Step-by-step explanation:

I'm pretty sure its saying

w + 221 = 274

and in this case, w = 53

because if you subtract 274 by 221 you get 53.

Best of luck to you!!!

Each day a bobcat drinks about 7 times as much water as a mink drinks.

How much water can a bobcat drink in one day?

Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16


A bobcat drinks about liter(s) in one day.

Answers

Answer:

0.70

Step-by-step explanation:

It is 0.70 because you multiply 7 x 10 and that is 70 then you just put 0. in front of it

(50pts)Solve for x:

a

7.125
b

6
c

8
d

4.125

Answers

Answer:

b. 6

Step-by-step explanation:

[tex](16x + 9) \degree = 105 \degree \\(corresponding \: \angle s) \\ \\16x + 9 = 105 \\ \\ 16x = 105 - 9 \\ \\ 16x = 96 \\ \\ x = \frac{96}{16} \\ \\ x = 6[/tex]

The correct answer is 6

Please help me asap this is due in 10 min Ill also mark brainliest

Answers

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.

1) 232.35 2) 52.81 3) 373.25

PLEASE HELP!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!!

Answers

Answer:

25 units should be right

Step-by-step explanation:

prove me wrong

9x + 4

8x - 4

4x + 17

If the perimeter is 374 units, find the value of x and the area of the triangle.

The value of x is

The area is

square units.

Answers

Answer:

x = 17

Area = 10,362units²

Step-by-step explanation

Given the sides of the triangle

S1 = 9x+4

s2 = 8x-4

S3 = 4x+17

Perimeter of the triangle is the sum of all the sides

P = S1+S2+S3

374 = 9x+4+8x-4+4x+17

374 = 21x+17

21x = 374-17

21x = 357

x = 357/21

x = 17

Hence the value of x is 17

Area of the triangle is 1/2bh

A = 1/2bh

b is the base

h is the height

Let the base be 9x + 4 and height be 8x-4

b = 9x+4

b = 9(17)+4

b = 153+4

b = 157units

h = 8x-4

h =8(17)-4

h = 136-4

h = 132

Area = 1/2 * 157 * 132

Area = 157*66

Area = 10,362units²

[ 6 × ( 4 + 2 ) − 6 ] ÷ 3 can you plz give me the anwers plz and the right anwers

Answers

Answer: 10

Step-by-step explanation: I think

Answer:

Step-by-step explanation:

Solution:

=6×6-6÷3

=36-6÷3

=30÷3

=10

The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean mpg for a random sample of 25 light vehicles is Under 20

Answers

Answer:

0.042341

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/n, where

x is the raw score = 20 mpg

μ is the population mean = 21 mpg

σ is the population standard deviation = 2.9

n = random number of samples

Hence:

For x < 20

= z = 20 - 21/2.9/√25

= z = -1/2.9/5

= z = -1.72414

P-value from Z-Table:

P(x<20) = 0.042341

The probability that the mean mpg for a random sample of 25 light vehicles is Under 20 mpg is 0.042341

The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341

Calculation:

Here we used z score formula

z = (x-μ)/σ/n, wherex is the raw score = 20 mpgμ is the population mean = 21 mpgσ is the population standard deviation = 2.9n = random number of samples

So,

For x < 20

= z = 20 - 21/2.9/√25

= z = -1/2.9/5

= z = -1.72414

Now

P-value from Z-Table:

P(x<20) = 0.042341

Learn more about the probability here: https://brainly.com/question/795909?referrer=searchResults

There were 27 boxes of tea in the tea house. Each box weighed 18 kg. After selling 12 boxes, the shopkeeper packed the remaining tea into bags of 9 kg each. How many bags of tea can be packed?

Answers

Answer:

30 boxes of tea

Step-by-step explanation:

27 (overall tea boxes) - 12 (boxes sold) = 15

15 (leftover boxes) x 18 (kg of each box) = 270

270 (overall kg of the boxes) divided by 9 (kg of the bags) = 30, so all the tea boxes can be placed into the bags

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