Solve 20 - x/3 = x/2 , put the number only in the box.

Answers

Answer 1

Answer:

x = 24

Step-by-step explanation:

[tex]20 - \frac{x}{3} = \frac{x}{2} [/tex]

Multiply through by the LCM that's 6 in order to eliminate the fraction

That's

[tex]6 \times 20 - 6 \times \frac{x}{3} = 6 \times \frac{x}{2} \\ 120 - 2x = 3x[/tex]

Using the addition property add 2x to both sides of the equation

That's

[tex]3x + 2x = 120 + 2x - 2x \\ 5x = 120[/tex]

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{120}{5} [/tex]

We have the final answer as

x = 24

Hope this helps you

Answer 2

Answer:

X=24

Step-by-step explanation:

20=x/2+x/3

20=1/2x +1/3x

20=5/6x

20÷5/6=x

X=24


Related Questions

m angle PQS= 3x; m angle SQR=5x-20
Find x

Answers

Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.

Given:

Ray QS bisects ∠PQR.

m∠PQS = 3x

m∠SQR = 5x-20

To find:

The value of x and m∠PQR

Solution:

Ray QS bisects ∠PQR. So,

[tex]m\angle PQS=m\angle SQR[/tex]

[tex]3x=5x-20[/tex]

[tex]3x-5x=-20[/tex]

[tex]-2x=-20[/tex]

[tex]x=10[/tex]

The value of x is 10.

Now,

[tex]m\angle PQR=m\angle PQS+m\angle SQR[/tex]

[tex]m\angle PQR=3x+5x-20[/tex]

[tex]m\angle PQR=8x-20[/tex]

Put x=10,

[tex]m\angle PQR=8(10)-20[/tex]

[tex]m\angle PQR=80-20[/tex]

[tex]m\angle PQR=60[/tex]

Therefore, the m∠PQR is 60 degrees.

If 3(y + 12) = 24, find the value of 18y.

Answers

first divide both sides by 3 and you’ll get
(y+12)=8 “y” will then equal -4 as -4+12=8=8 so therefore 18y= -72

what is 4/y+2=10/5y?

Answers

y^1=-1,y^2=2 ^=square root

Can someone please help me out?

Answers

46.6 billion

explanation:

Isolate S on the left side by adding 1.9x to both sides. this gives you S = 4.8 + 1.9x. Plug in 22 for x because 2020 is 22 years from 1998.

4.8 + 1.9(22) = 46.6

Answer:

S=46.6

Step-by-step explanation:

x is the number of years :

from 1998 to 2020 = 22 years

S-1.9x=4.8

S-(1.9)(22)=4.8

S=4.8+41.8

S=46.6

"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?

Answers

Answer:

[tex]y=\frac{15\sqrt{3} }{4}[/tex]

Step-by-step explanation:

Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)

As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:

[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}[/tex]  (we know that a+b = 15), hence the equation becomes:

[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{15}[/tex]  ----------eq 1

If we consider the largest triangle, we will see that

cos 30° = z / 15

but from our special angles (see second attachment) we know that cos 30° = (√3)/2

hence

(√3)/2 = z / 15

z = (15√3) / 2 --------eq 2

from the same largest triangle, we will also see that

sin 30° = x / 15

similarly from our special angles, we know that sin 30° = 1/2

hence,

1/2 = x/15

x = 15/2 --------eq 3

now that we have values for x and z, we can neglect the first term of equation 1 and form an equality with x, y and z

[tex]\frac{y}{x} = \frac{z}{15}[/tex]

[tex]y = x\frac{z}{15}[/tex]  (substituting the values for x and z that we found above)

y = (15/2) · [ (15√3) / 2] / 15

y = (15√3) / 4

[tex]y=\frac{15\sqrt{3} }{4}[/tex]

PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST !!!

Answers

the answer is c

i already done it

Answer:

1/3 would be your answer

Step-by-step explanation:

anyway have a great day

A spinner with 6 equally sized slices is shown below. (2 slices are yellow, 1 is blue, and 3 are red.) The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?

Answers

Answer:

1/3

Step-by-step explanation:

We have 6 slices

2 are yellow

P ( yellow) = number of yellow / total

                 = 2/6

                  = 1/3

Answer:. 1/3 probability that it stops on yellow.

Step-by-step explanation:

There are 6 possible outcomes. 2 are the incidents that you are looking for.

Make a ratio 2:6 or a fraction 2/6

Then simplify or reduce the fraction. 2/6 = 1/3

If h(x) = 6 - X, what is the value of (nºn)(10)?

Answers

Answer:

(h°h)(10) = 10

Step-by-step explanation:

(h°h) = 6-(6-x) = x

h(10) = x

x = 10

The inverse of f(x) = 2x + 3 is
O True
O False

Answers

The inverse of f (×) =2× + 3 is

yes it is true

I had this question before but the Answer is True :)

2.4 times (-8.3) how much would it equal

Answers

it would equal -19.92

Answer:

= −19.92

Step-by-step explanation:

Using 2 shapes, how many 5-place patterns can be made

Answers

Answer:

Step-by-step explanation:

3

The telephone company offers two billing plans for local calls. Plan 1 charges ​$30 per month for unlimited calls and Plan 2 charges ​$13 per month plus ​$0.04 per call.

Answers

Answer:

Is there anything else to add onto the question? What are you trying to find :)?

What is 128,073 to the nearest thousand

Answers

128,000 I believe is the answer

what is 5/6 divided by 5/9

Answers

Answer:

1 and 1/2

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

1.5 as a decimal

1 1/2 as a fraction

-5(5 – 2x) = -95

show work and all steps please

Answers

Answer:

x = -7

Step-by-step explanation:

See the photo attached.

do parentheses and just find x. x equals positive 7.

BRAINLIEST!!Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in her wallet when she leaves the store so she has enough money to buy gas for the ride home.

Which shows a possible number of CDs she could buy? Select three options.
1
2
3
4
5

Answers

Answer:

The possible number of CDs she could buy is 1, 2, and 3.

Step-by-step explanation:

First, you have to make an equation to solve to find the answer(s):

80 - (18 · x) ≥ 2080 is how much money Felicia has; 18 is for the cost of each CD; x is for the number of CDs; is no less; and 20 is how much money Felicia needs to have left.

1.) 80 - (18 · 1) ≥ 20

80 - 18 · 1 ≥ 20

80 - 18 ≥ 20

62 ≥ 20

Since 62 ≥ 20 is always true, there are infinitely many solutions.

2.) 80 - (18 · 2) ≥ 20

80 - 18 · 2 ≥ 20

80 - 36 ≥ 20

44 ≥ 20

Since 44 ≥ 20 is always true, there are infinitely many solutions.

3.) 80 - (18 · 3) ≥ 20

80 - 18 · 3 ≥ 20

80 - 54 ≥ 20

26 ≥ 20

Since 26 ≥ 20 is always true, there are infinitely many solutions.

4.) 80 - (18 · 4) ≥ 20

80 - 18 · 4 ≥ 20

80 - 72 ≥ 20

8 ≥ 20

Since 8 ≥ 20 is false, there is no solution.

5.) 80 - (18 · 5) ≥ 20

80 - 18 · 5 ≥ 20

80 - 90 ≥ 20

- 10 ≥ 20

Since - 10 ≥ 20 is false, there is no solution.

Answer:

1,2,3

Step-by-step explanation:

Someone help me solve this plz

Answers

Answer:

Slope of it is 6

Step-by-step explanation:

Slope is on the graph going up to the 6 and then to the 4

What decimal number is illustrated?

Answers

Answer:

0.28

Step-by-step explanation:


HELP QUICK
Remove grouping symbols and combine like terms.
4a2 - 3[2b - 3b(b - 1)]

Answers

Answer:
4a^2 - 15b + 9b^2

Step by step explanation:

Answer:

[tex]4a^{2} + 9b^{2} + 3b[/tex]

Step-by-step explanation:

Distributive Property

[tex]4a^2 - 3(2b - 3b^{2} + 3b)[/tex]

Distributive Property

[tex] {4a}^{2} - 6b + 9b^{2} + 9b[/tex]

Combine Like Terms

[tex]4a^{2} + 9b^{2} + 3b[/tex]

Jane wants to determine the shortest route from her home to her workplace.
She walks only on the sidewalks indicated by dotted lines on the map. What is
the distance of the shortest route from home to work to the nearest block?
(IMPORTANT NOTE - 1) Turn radicals into decimals. 2) Do not round decimals
until the very end of the problem).
HELP PLEASE I have no idea how to do this

Answers

Answer:

did anyone figure this out

The distance between two points on a plane can be found by Pythagoras's theorem.

The shortest route from her home to her workplace is the route that passes along the block in the middle of the graph ,which is approximately 2.5 blocks shorter, than the apparently next shortest route.

Reason:

The shortest distance between two points is a straight line.

The shortest route to her workplace are the routes that approximate a straight line the most.

Following the dotted lines, there are two routes, that are approximately direct and therefore short routes to her workplace which are;

The route heading past the block close to the center of the map to her workplaceThe route to the left of the above route

Taking the route that passes close to the center of the map to her workplace ,gives;

Path 1 = √(2² + 4²) = 2·√5 (by Pythagoras's theorem)

Path 2 = √(1² + 2²) = √5

Path 3 = 1 + 1 = 2

Path 4 = √(2² + 3²) = √13

Path 5 = 3

Cumulative distance = 2·√5 + √5 + 2 + √13 + 3 ≈ 15.3

Taking the route to the left of the above route, gives;

Path 1 = √(2² + 4²) = 2·√5

Path 2 = 7 + 6 = 13

Cumulative distance = 2·√5 + 13 ≈ 17.5

Therefore, the shortest route is the route that heads to her workplace, through, close to the center of the map, which approximately 17.5 blocks - 15.3 blocks  = 2.5 blocks shorter

Learn more here:

https://brainly.com/question/20054245

Subtract.(–3x2+4x4–8x)–(–6x+3x4+2)

Answers

Answer:

x⁴ - 3x² - 2x - 2

Step-by-step explanation:

Step 1: Write out expression

(-3x² + 4x⁴ - 8x) - (-6x + 3x⁴ + 2)

Step 2: Distribute negative

-3x² + 4x⁴ - 8x + 6x - 3x⁴ - 2

Step 3: Combine like terms (x⁴)

x⁴ - 3x² - 8x + 6x - 2

Step 4: Combine like terms (x)

x⁴ - 3x² - 2x - 2

The projected number of people aged 65 and over in the U.S. population with Alzheimer's disease (in millions) is given byP(t) = −0.0002083t 3 + 0.0157t 2 – 0.093t + 5.2 (4 ≤ t ≤ 40);Where t is measured in years and t = 4 corresponds to the year 2014. This model does not claim validity for years 2051 and beyond. Nevertheless, the model does suggest that:

Answers

The missing part of the question is;

What is the projected number of people aged 65 and over with Alzheimer's disease in 2030 and in 2050

Answer:

In 2030, P(20) = 7.9536 (in millions)

In 2050, P(40) = 13.2688 (in millions)

Step-by-step explanation:

We are given that;

Number of people aged 65 and over in the U.S. population with Alzheimer's disease (in millions) as;

P(t) = −0.0002083t³ + 0.0157t² – 0.093t + 5.2 (4 ≤ t ≤ 40);

Where t is measured in years and t = 4 corresponds to the year 2014.

Now,

Since t = 4 represents 2014,therefore;

t = 20 would represent population in 2030

Thus in year 2030;

P(20) = −0.0002083(20)³ + 0.0157(20)² – 0.093(20) + 5.2

P(20) = 7.9536 (in millions)

Also, in year 2050, t will correspond to 40 years.

Thus;

P(40) = −0.0002083(40)³ + 0.0157(40)² – 0.093(40) + 5.2

P(40) = 13.2688 (in millions)

find the end point m

Answers

M=(-4;5). Hope this helps

How do I isolate R?​

Answers

S = (HR(Wi - Wn)) / 1000.

First, multiply both sides by 1000.

1000S = HR(Wi - Wn)

Divide bot sides by H(Wi - Wn)

(1000S) / H(Wi - Wn) = R

If h(x)=-3x^2-4 and k(x)=4x-3, find h(k(2))

Answers

Answer:

-79

Step-by-step explanation:

Set up the composite function and simplify.

A customer at a Mexican diner placed an order for 3 burrito bowls. He also ordered 2 plates of corn tacos at $12.96 each. He was billed
a total of $45.42.

Answers

Answer:

$6.05 for each burrito bowl

Step-by-step explanation:

12.96+12.96=25.92

45.42-25.92= 19.5

19.5/3= 6.5

Rewrite the expression −7/8 − 2 1/4 ​as the sum of two numbers.

Answers

Answer:

-3 1/8.

Step-by-step explanation:

−7/8 − 2 1/4

= -7/8 + -9/4

= -7/8 - 18/8

= -25/8

= -3 1/8.

X
A spinner is divided into 4 equal sections labeled with the numbers 1 through 4. The tree
diagram represents all of the possible outcomes of spinning the spinner twice. Use the drop-
down menus to complete the statements about the possible outcomes.

Answers

Answer:

Step-by-step explanation:the first one is 8

Second 3 3- 6

1) There are total 16 possible outcomes.

2) There are 6 possible outcomes for spinning two numbers that have sum greater than 5.

3) There are 4 possible outcomes for spinning the same number twice.

What is probability?

" Probability is a branch of mathematics which represents the all possibilities. It is defined as the ratio of total number of favourable outcomes to the total number of outcomes of the particular event."

According to the question,

A spinner is divided into 4 equal sections that is 1 to 4.

As per the diagram,

All possible outcomes are as follow:

{ (1 ,1), ), (1,2), (1,3), (1,4), (2,1),  (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4),(4,1),(4,2),(4,3), (4,4) }

1)  Total possible outcomes = 16

2) Possible outcomes for spinning two numbers that have sum greater than 5 are (2,4), (3,3), (3,4), (4,2), (4,3), (4,4)

Therefore,

Total Possible outcomes for spinning two numbers that have sum greater than 5 = 6

3) Possible outcomes for spinning the same number twice are (1,1), (2,2), (3,3), (4,4)

Therefore,

Total Possible outcomes for spinning the same number twice = 4

Hence,

1) There are total 16 possible outcomes.

2) There are 6 possible outcomes for spinning two numbers that have sum greater than 5.

3) There are 4 possible outcomes for spinning the same number twice.

Learn more about probability here

https://brainly.com/question/23044118

#SPJ2

You have 1/8 of a box of erasers and you need to share them with 3 total people, including yourself. What fraction of the box should each person get?

Answers

Answer:

each person should get 1/24th or 0.0417

Step-by-step explanation:

Each should get 1/24

10 decreased by twice a is 23

Answers

I think the answer your looking for is A= 16.5, because a doubled is 33 then if you subtract 10 you get 23

THERE YOU GO I HAVE TO TYPE WORDS

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