Solve for x.
5x + 3 – 2x = 24
X = [?]

Answers

Answer 1

[tex]\\ \sf \longmapsto 5x+3-2x=24[/tex]

[tex]\\ \sf \longmapsto 5x-2x+3=24[/tex]

[tex]\\ \sf \longmapsto 3x+3=24[/tex]

[tex]\\ \sf \longmapsto 3x=24-3[/tex]

[tex]\\ \sf \longmapsto 3x=21[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{21}{3}[/tex]

[tex]\\ \sf \longmapsto x=7[/tex]

Answer 2
Answer:

x = [7]

Step-by-step explanation:

5x + 3 - 2x = 24

Combine like terms

5x - 2x + 3 = 24

Subtract 5x - 2x

3x + 3 = 24

Subtract 3 from both sides

3x = 21

Isolate the variable

x = 21/3

x = 7

Related Questions

The first side of a triangle measures 5 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 17 in. Set up an equation that relates the sides of the triangles in terms of the perimeter of the triangle.

3s - 10 = 17
3s - 7 = 17
2s -7 = 17
2s - 5 = 17

Answers

Answer:

3s-10=17

s=9

3×9-10=17

27-10=17

Sphere A has a radius of 24 centimeters, and sphere Bhas a diameter of 42 centimeters. The radius of sphere A is
muided by what factor to produce the radius of sphere B2

Answers

Answer:

A's radius is half so multiply it by 2 to get the diameter which is the same as B's.

Step-by-step explanation:

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.

Answers

Answer:

Bus charges for 30 people = $98

Step-by-step explanation:

Given:

Car A charges for 2 people = $14

Car B charges for 4 people = $20

Van charges for 8 people = $32

Find:

Bus charges for 30 people

Computation:

Assume;

Fix charge = b

Variable charges = a

So,

2a + b = 14.................................. Eq 1

4a + b = 20 ..............................Eq2

From Eq 1 and 2

a = 3

Variable charges = $3

Fix charge = 8

So,

Bus charges for 30 people = 30a + b

Bus charges for 30 people = 30(3) + 8

Bus charges for 30 people = $98

how many halves are in 2 whole objects​

Answers

4 halves if u have one object and you cut it in half you will get two then you do the same to another object so you’ll get 4 :) sorry if I’m wrong

Tiana uses the equation c = 21h to figure out the total amount, c, she should
charge a customer for babysitting for h hours.
a. What is the constant of proportionality? What does it mean?
b. Tiana charges $94.50 for a job. How long did she babysit for?
Show your work.

Answers

Answer:

a. The constant of proportionality is, 21

b. Tiana charges $94.50 for a job, so, c=94.50

from the given equation,

c = 21h

or, 94.50 = 21h

or, h = 94.50/21

or, h = 4.5

She babysit for 4.5 hours.

Answered by GAUTHMATH

The constant of proportionality is 21 and it means the constant value that connects two variables together. If Tiana charges $94.50 for a job, she spent 4.5hours babysitting.

The equation used by Tiana c = 21h to figure out the total amount (c) she should charge a customer for babysitting for h hours.

The constant of proportionality, denoted by K, in a linear relationship shows how two variables relate to one another. In this case, the total amount (c) is directly proportional to time (h).

The constant of proportionality, which is 21, connects the variables 'c' and 'h'.

If Tiana charges $94.50 for a job, we can calculate the time spent on doing the job by using:

c = 21h

94.50 = 21h

h = 94.50 ÷ 21

h = 4.5hours.

Therefore, Tiana spent 4½ hours babysitting.

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Find the perimeter of the figure. Use 3.14 for pi. (The figure is not to scale, round to at least 1 decimal place).

Answers

Answer: 38.185 ft
Hypotenuse side of triangle: 8.25
Length of two sides of rectangle: 18
Circumference of half circle= 2(pi)(r) = 2(3.14)(4)= 25.13
25.13/2= 12.565
8.25+18+12.565=38.185 ft

Find the value of x. Round the length to the nearest tenth.

Answers

I donno is there anything else

Find the RQ in the image below

Answers

Answer:

RQ = 47

The diagram says both are same, with the hyphen.

Answered by GAUTHMATH app

Measure the length of AC. Use coordinate algebra to locate a point E on AC such that the ratio of AE to EC is equal to the ratio of AD to DB. Show how you derived your answer. (Hint: Let x and AC − x represent the two line segments that make up AC .)

Answers

If  AC is 13 unit,  then AC = 4.875 (5.875, 1) then the ratio of the segment  via which E divides line AC is said to be equal to the ratio of AD and DB.

What is the line segment about?

In the image attached, The length of AC = 13.

Take length of AE = x.

Take length of EC = 13 x.

The ratio of AE to EC = 0.6.

The [tex]\frac{AC}{EC}[/tex]

x = 0.6(13 - x)

x = 7.8 - 0.6x

1.6x = 7.8

x = 4.875

Therefore, AC = 4.875

Since E is found on AC so  EC = 13 -x = 13 - 4.875 = 8.125

Therefore,

AC = 4.875

EC = 8.125

See full question below

Line AC is 13 units long. Use coordinate algebra to locate a point E on Line AC such that the ratio of AE to EC is equal to the ratio of AD to DB which is 0.6. Show how you derived your answer. (Hine: Let x and AC - x represent the two line segments that make up Line AC

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Calculate the maximum absolute uncertainty for R if:

R = 9A / B
A = 32 +/- 2 seconds
B = 11 +/- 3 seconds

1 second


0.33 seconds


9 seconds


2 seconds


6 seconds

Answers

Answer:

1.1 small inches of the day

Step-by-step explanation:

need help, please need help

Answers

Answer:

Step-by-step explanation:

thats your problem learn how to pay attention lol

A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), such that there is exactly one card for any given rank and suit. Two of the suits ($\spadesuit$ and $\clubsuit$) are black and the other two suits ($\heartsuit$ and $\diamondsuit$) are red. The deck is randomly arranged. What is the probability that the top card is a 3 and the second card is an eight

Answers

Answer:

4 / 663

Step-by-step explanation:

Given that :

Number of cards in a standard deck = 52

Number of 3's in s standard deck = 4 (each suit has one card each)

Number of 8's in a standard deck = 4 (each suit has one card each)

Probability, P = required outcome / Total possible outcomes

Choosing without replacement :

P(top card is a 3) = 4 / 52

P(second draw is 8) = 4 / 51

P(top card is a 3 and second is 8) :.

4/52 * 4/51 = 16 / 2652 = 4 / 663

HELP !!!!

what is the area of this figure

Answers

Answer:

1049760

Step-by-step explanation:

Just multiple

This is the answer to this question

Answer:

1,049,760

Step-by-step explanation:

9 x 3 = 27

27 x 8 x 3 = 648

648 x 15 x 3 = 29,160

29,160 x 6 x 6 = 1,049,760

Therefore the answer is 1,049,760.

If eleven plus two equal one what does nine plus five equal?

Answers

Answer:

huh???

Step-by-step explanation:

how does that make sence

Need help !!!What is the first step to solve the following system of equations using substitution?

Answers

Answer:

It is the second one: Solve the first equation for x.

Step-by-step explanation:

Which rule is a recursive rule for the sequence 1,-6,36, -216

Answers

Answer:

3rd option

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

r = - 6 ÷ 1 = 36 ÷ - 6 = - 216 ÷ 36 = - 6

To obtain a term in the sequence multiply the previous term by - 6

Then the recursive rule is

[tex]a_{n}[/tex] = - 6 . [tex]a_{n-1}[/tex]

Answer: 1*6°=6

1*(-6)^1=-6

1*(-6)^2=36

1*(-6)^3=-216

Can someone help me with this math homework please!

Answers

Answer:

1.33 & n - 6 = 0.75(t - 8)

Explanation:

Speed can be calculated as miles ÷ minutes

4 ÷ 3 = 1.33 and 8 ÷ 6 = 1.33 as well

Since we know the n and t, we can substitute one into the equation to find the other (substitute t = 8 into all four equations and see do we get n = 6)

You can do this with t = 4 and n = 3 as well

Answer:

you are a great woman removing the sum o saare and pa and pa to the lord and your life to you for drawing the sum o the streets

HELP!! pie/3 is the reference angle for:

Answers

Answer:

A, C and D.

Step-by-step explanation:

Answer:

yctcuvhino

ubuvyvubigu

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

7)  4*5 - 2*3 = answer

20-6 = 14

8)  5*4 - 2*(2*2) = answer

20 -8 = 12

calculate the surface area of a hockey puck with a height of 1 in. and a diameter of 3 in

Answers

Answer:

23.56

Step-by-step explanation:

2([tex]\pi r^{2}[/tex]) + 2[tex]\pi[/tex]rh

2([tex]\pi[/tex] [tex]1.5^{2}[/tex])+ 2[tex]\pi[/tex](1.5)(1)

23.56

23.56 in² is the surface area

What is surface area?

A solid object's surface area is a measurement of the overall space that the object's surface takes up.

Given

2(πr²) + 2πrh

2π( 1.5)²+ 2π(1.5)(1)

= 23.56 in²

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If f(x) = x2 is vertically stretched by a factor of 4 to g(x) and reflected over the x-axis, what is the equation for g(x)?​

Answers

Step-by-step explanation:

integral fx = gx, gx = fx

gx = -4x2

variable of x2 = replace to left side it mean we got minus when Variable replace to left it mean minus

Graph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=

Answers

Answer:

Step 1: 1.5

Step 2: Plot the points (0, 1.5)

Step 3: 3, then 0.75

Step 4: Plot the points (1, 3) and (-1, 0.75)

Step 5: y=0

Step-by-step explanation:

Ur welcome and have a nice day :>

The initial value of the function f(x) = 3/2 (2)^x is 3/2

How to calculate the initial value of the function?

The function expression is given s:

f(x) = 3/2 (2)^x

Substitute 0 for x

f(0) = 3/2 (2)^0

Evaluate the exponent

f(0) = 3/2 * 1

Evaluate the product

f(0) = 3/2

Hence, the initial value of the function is 3/2

Read more about exponential functions at:

https://brainly.com/question/11464095

Find the area of a sector of a circle whose radius is 16 cm and whose central angle is
36 degrees.

Answers

Answer:

1πcm

Step-by-step explanation:

do you have another question to ask pls if you have ask

The length of a rectangle field is represented by the expression 14 X minus 3X squared +2 Y. The width of the field is represented by the expression 5X minus 7X squared plus 7Y. How much greater is the length of the field than the width?

Answers

Answer:

[tex]9x+4x^2-5y[/tex]

Step-by-step explanation:

Hi there!

Length of the field: [tex]14x-3x^2+2y[/tex] units

Width of the field: [tex]5x-7x^2+7y[/tex] units

To find how much greater the length of the field is than the width, subtract the width from the length:

[tex]14x-3x^2+2y-(5x-7x^2+7y)[/tex]

Open up the parentheses

[tex]= 14x-3x^2+2y-5x+7x^2-7y[/tex]

Combine like terms

[tex]= 14x-5x-3x^2+7x^2+2y-7y\\= 9x+4x^2-5y[/tex]

Therefore, the length is [tex]9x+4x^2-5y[/tex] units greater than the width.

I hope this helps!

How many positive integers less than 100 are divisible by 7 but not divisible by 2, 3, 4, or 5?

Answers

Answer:  4 positive integers

Step-by-step explanation:

Positive integers less than 100 that are divisible by 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

Let's write out numbers that are not divisible by 2 or 4:

7, 21, 35, 49, 63, 77, 91.

Now let's write out numbers that are not divisible by 3:

7, 35, 49, 77, 91.

Finally, let's write out the numbers that are not divisible by 5:

7, 49, 77, 91.

Thus, there are only 4 positive integers less than 100 that are divisible by 7, but not divisible by 2, 3, 4, or 5.

Anyone please help me

Answers

Answer:

A) 1/13

Step-by-step explanation:

In a deck of 52 cards, there are 13 clubs. Out of those 13 clubs, there is 1 ten.

Since a club was drawn, the probability of the card being a ten is:

1 ten out of 13 clubs = 1/13

Sage is 7 years older than Jonathan. If Jonathan is x years old, how old was Sage 10 years ago?

Answers

Answer:

(x-3) years

Step-by-step explanation:

We are given that

Age of Jonathan= x years

Sage is 7 years older than Jonathan

It means

Age of Sage=(x+7) years

We have to find the age of Sage 10 years ago.

10 Years ago,

Age of Jonathan=(x-10) years

Age of Sage=(x+7-10) years

Age of Sage=(x-3) years

Hence, 10 years ago, age of Sage =(x-3) years

You are playing the Integer Game. The goal of the game is for the sum of the cards in your hand to be as close to zero as possible. Here are the cards in your hand,
4
-8
-3
2
What is the current value of your hand?

Answers

-5 because the negatives equal to -11 then the positives equal to 6 and -11+6 is -5.

Afreen says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?

Answers

Answer:

The 3 ses that we found are:

{4, 5, 6}

{64, 65, 66}

{124, 125, 126}

Step-by-step explanation:

3 consecutive numbers are written as:

n, (n + 1), (n + 2)

We know that the first one is a multiple of 4.

Then n is a multiple of 4:

n = k*4

where k is an integer.

The second one is a multiple of 5, then:

(n + 1) = j*5

where j is an integer.

The last one is a multiple of 6.

(n + 2) = p*6

where p is an integer.

We want to find 3 sets.

The first one is trivial:

n = 4

n + 1 = 5

n + 2 = 6

4 is a multiple of 4

5 is a multiple of 5

6 is a multiple of 6.

Now let's find a set that is not trivial.

First, remember that all the multiples of 5 end with a 0 or a 5,

Then we can look for a value n, that is multiple of 4, and that has a last units digit equal to 4 (then the next one will have a units digit and will be multiple of 5)

For example, 4*6 = 24

24 is a multiple of 4.

The next number is 24 + 1 = 25, which is multiple of 5.

The next number is 25 + 1 = 26, which is not multiple of 6.

So let's try again.

4*11 = 44, is a multiple of 4.

The next number is 44 + 1 = 45

45 is a multiple of 5.

The next number is 45 + 1 = 46, which is not multiple of 6

So we need to try with another set.

4*16 = 64, is a multiple of 4.

The next number is 64 + 1 = 65, which is multiple of 5.

The next number is 66, which is multiple of 6:

6*11 = 66

Then the set:

n = 64

n + 1 = 65

n + 2 = 66

Is a possible set.

Now we can keep trying this, we can see that the next set  has the numbers:

n = 4*31  = 124 is a multiple of 4.

The next number, is 124 + 1 = 125, which is a multiple of 5.

The next number is 125 + 1 = 126, which is multiple of 6

6*21 = 126

Then the set:

n = 124

n + 1 = 125

n + 2 = 126

Is another possible set.

The 3 ses that we found are:

{4, 5, 6}

{64, 65, 66}

{124, 125, 126}

Question 1 of 9
Which of the following is the equation of the quadratic function below?
-10
10
10

Answers

Answer:

B

Step-by-step explanation:

The zeros ( where the graph crosses the x- axis ) are x = 2 and x = 6

The corresponding factors are (x - 2) and (x - 6) and the equation is the product of the factors, so

y = (x - 2)(x - 6) ←  expand using Foil

y = x² - 8x + 12 → B

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