Mathematics High School

Given 2x - 3 = 7, what is the value of x?

Answers

Answer 1

Answer:

2x-3=7 /×3

2x=3+7

2x=10 /÷2

x=5

Answer 2

Answer:

Step-by-step explanation:

2x - 3 = 7 Add 3 to both sides

2x - 3+3 = 7 + 3 Combine

2x = 10 Divide by 2

2x/2 = 10/2 Combine

x = 5

These types of equations all follow the same pattern. The look like

ax + b = c You have to isolate the x so add b if b is minus or you subtract b if b is plus. Notice that b was minus in your question. So Add

Now you you have

ax = c - b That always happens. The x is isolated if you deal with b first. Now all you need to do is divide by a.

x = (c - b)/a

Try a couple

3x -4 = 5 The answer is 3

5x + 2 = 27 the answer is 5

Related Questions

WILL MARK BRANIEST FOR GOOD ANSWER AND FOR ANSWERING IT RIGHT
THE QUESTION IS ATTACHED BELOW

Answers

Answer:

The answer is C beacause it is 20 times greater than the other numbers

A sprinkler line uses 1 in. diameter pipe. How much water could 2,000 in. of pipe hold?

Answers

Answer:

Im not sure but we are learning this in my school and the answer would be 1570.8 and rounded would be 1571

Step-by-step explanation:

Hope this helps

Can someone rate my answer and tell me how i did pls /I measured my door in my room. The height was 74 inches and the length was 35 inches so to find the area you would multiply 74 by 35

Answers

Answer:

Partially correct!!

Step-by-step explanation:

To find the area, you only need to multiply LENGTH x WIDTH. So, you did it correctly.

Not the height and the length. You wouldn't need the height to calculate area! Good try though! If you're still stuck next time you measure a door, look up how to calculate area if you are ever stuck.

Select all of the following statements that are TRUE
Group of answer choices

-When you graph an inequality, the arrow always goes to the left.

-The equal sign bar under the inequality symbol means you user a closed circle.

-When you subtract a number on both sides of an inequality, you must flip the inequality sign.

-When you graph an inequality, you need to look at the inequality to determine if the arrow goes left or right.

-When you graph an inequality, the arrow always goes to the right.

-The equal sign bar under the inequality symbol means you user an open circle.

-When you divide by a negative number on both sides of an inequality, you must flip the inequality sign.

Answers

Answer:

True statements

The equal sign bar under the inequality symbol means you use a closed circle.When you graph an inequality, you need to look at the inequality to determine if the arrow goes left or right.When you divide by a negative number on both sides of an inequality, you must flip the inequality sign.

Additional information

Closed circle: ≤ or ≥

Open circle: < or >

A cable 52.6 meters long is cut into two pieces so that one piece is 27.2 meters longer than the other. Find the length of each piece of cable.

Type the product of the lengths of the two pieces, rounded to the nearest tenth.

Answers

Answer:

Piece1: 12.7 meters

Piece2: 39.9 meters

Product of the two to nearest tenth: 506.7

Step-by-step explanation:

Piece1: x

Piece2: x + 27.2

x + x + 27.2 = 52.6

2x + 27.2 = 52.6

2x = 25.4

x = 12.7

Piece1: 12.7

Piece2: 12.7 + 27.2 = 39.9

Product of the two pieces:

12.7 * 39.9 = 506.73

What is 12(9+3) equaled to?

Answers

Answer: 144

Step-by-step explanation:

We know that we have to start with parenthesis first and complete that operation first. So 9+3=12. Now we are left with 12(12) which simply means 12 times 12 which is 144.

Increase £16470.45 by 13.5%

Answers

Answer: 18693.51075= £18,693.51

Step-by-step explanation:

16470.45/100=164.7045

164.7045x13.5=2223.51075

2223.51075=16470.45=18693.51075

18693.51075= £18,693.51

The increment of £16470.45 by 13.5% is £18693.96.

PercentageWhat is percentage?

A part per hundred is what the percentage denotes. The symbol '%' is used to symbolise it. Example percentages include: 10% is represented as the fraction 1/10.

Calculate the percentage:

The amount is given as £16470.45.

As, the amount is increased by 13.5%.

Thus 13.5% of £16470.45 will be calculated as,

= 16470.45 ×(13.5/100)

= 2223.51

Thus, the 13.5% of the amount will be £2223.51

Calculate the increment of the amount:

As, the incremented amount is calculated as £2223.51.

The amount after the increment will be,

= 16470.45 + 2223.51

= 18693.96

Therefore, the total amount after the increment of 13.5% is £18693.96.

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. In a soccer league, each of the n participating teams plays every other team twice during the season. If in the next season the league increases the number of teams by two, then there would be 27.5% more matches played. Find

Answers

The number of teams and matches in the soccer league illustrates permutation and combination

There are 12 teams in the soccer league in the first season

How to determine the number of teams

The number of teams in the soccer league is given as n.

So, the total number of matches played in a season is:

Matches = n(n-1)/2

When the number of teams increases by 2, we have:

Matches = (n + 2)(n + 2 -1)/2

Also, the number of matches increases by 27.5%.

So, we have:

Matches = n(n-1)/2 * (1 + 27.5%)

Equate both equations

[tex]\frac{(n + 2)(n + 2 -1)}{2} = \frac{n(n-1)}{2} * (1 + 27.5\%)[/tex]

Simplify

[tex]\frac{(n + 2)(n + 1)}{2} = \frac{n(n-1)}{2} * (1.275)[/tex]

Multiply through by 2

[tex](n + 2)(n + 1) = n(n-1) * (1.275)[/tex]

Expand

[tex]n^2 + 3n + 2 = 1.275n^2 - 1.275[/tex]

Collect like terms

[tex]n^2 -1.275n^2+ 3n + 2 +1.275 = 0[/tex]

Evaluate the like terms

[tex]-0.275n^2+ 3n + 3.275 = 0[/tex]

Using a graphing calculator, we have:

n = -1 or n = 11.909

n cannot be negative.

So, we have:

n = 11.909

Approximate

n = 12

Hence, there are 12 teams in the soccer league in the first season

Read more about permutation and combination at:

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Which property is used in the problem below?

2(x+4) = 2x + 8
the associative property
the commutative property
the distributive property
the additive identity property

Answers

Answer:

Distributive Property

Step-by-step explanation:

2(x+4) = 2x + 8

2x + 2(4) = 2x + 8

2x + 8 = 2x + 8

Henceforth, distributive property

Answer: The Distributive Property

Step-by-step explanation:

After a shopping spree at Target, John realized he spent three times more money than his brother Mike. They spent a total of $160. If you choose x to represent the
amount of money that Mike spent, what choice below would represent the amount of money that John spent?

Answers

Answer:

John spent around $53

Step-by-step explanation:

The equation is 3x=160

Since the "x" is already by itself on one side, divide 160 by 3

160÷3=53.333⇒

Now if that's not the way IT CAN ALSO BE:

30x3+70=160! That means John spent $90

What goes in blank????

Answers

The flat angle is 180 degree(30+angle1)
therefore, angle 1=180-30=150 degree

If you were solving a system of equations and you came to a statement like 1 = 3, what do you know about the solution to the system? (1 point) Selected:a. The solution is (1, 3)This answer is incorrect. b. The solution is x = 1 and y = 3 c. There is no solution d. There are infinitely many solutions

Answers

Answer:

There is no solution.

Step-by-step explanation:

1 ≠ 3

. Rectangle DEFG with vertices D(61), E(8,0),
F(5.-6), and G(3-5); (x, y)(x-11, y + 4)

Answers

Answer:

D(-5,5), E(-3,4), F(-6,0), G(-8,1)

Step-by-step explanation:

You need to subtract 11 from x, (which is the first number in the parenthesis) because the rule is (x-11, y+4) and add 4 to y.

I really hope this helps!

The value represents the is D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) . A rectangle is a quadrilateral with four right angles in the Euclidean plane.

What is meant by rectangle?

A rectangle is a quadrilateral with four right angles in the Euclidean plane. A parallelogram with a right angle or an equiangular quadrilateral, where equiangular means that all of its angles are equal, are other ways to describe it. A rectangle with four equally length sides is a square.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.

Given,

vertices D(61), E(8,0),

F(5.-6), and G(3-5); (x, y)(x-11, y + 4)

Because the rule is (x-11, y+4), you must subtract 11 from x, which is the first number in the parenthesis, and then add 4 to y.

D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1)

Therefore D(-5,5), E(-3,4), F(-6,0), G(-8,1) (-8,1) is the value represents the rectangle.

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How does the graph of g(x) = -(x - 2)4 compare to the parent function of f(x) = x^4?

Answers

Answer:

flipped across the x-axis and translated to the left 2 units

Step-by-step explanation:

I attached a pic to show u !! Blue is the parent function and red is the other equation so it's easy to see how they compare to one another.

how to read a function different from the parent

that negative in front of the (x-2)^4 gets distributed and the equatuin will then look like (-x+2)^4that negative in the front means to flip the proabla on the axis !! and the +/- will tell u how it will be translated by however many units keep in mind u go the opposite of this sign inside the parenthesis. so for example if it's - 2 ur not going to go to the left 2 units you're going to go to the RIGHT 2 units and vice versa!! another thing remember that if it's inside the parenthesis it's the x-axis !! if outside then it's y-axis example: (3+4)^4+3 look inside the parenthesis, that tells me that it's not going to flip on the x axis cause and im going to translate to the left 4 units ! cause remember u go the opposite.and that +3 will tell me to go UP 3 units and that tells me how to translate on the y axis!! I gave u extra info im very sorry i just wanna help as much as possible and I hope this helps !!

Define the following:
=> Accuracy
=> Add Decimals

Answers

Answer:

accuracy- the quality of state of being correct or precise

add decimals- write the numbers in a column, and make sure that the decimal points are aligned.

Answer/Step-by-step explanation:

Refer to picture below:

The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be more than 10.9 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

Answers

Answer: 5.94%

Step-by-step explanation:

Let X be the random variable that represents the weights of the fish.

Given: Weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb ([tex]\mu[/tex]) and a standard deviation of 2.9 lb ([tex]\sigma[/tex]).

sample size : n= 32

The probability that the mean weight will be more than 10.9 lb:

[tex]P(\overline{X}>10.9)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{10.9-10.1}{\dfrac{2.9}{\sqrt{32}}})\\\\=P(Z>1.56)\\\\=1-P(Z<1.56)\\\\=1- 0.9406\ \ [\text{By p-value table}]\\\\=0.0594=5.94\%[/tex]

Hence, the required probability = 5.94%.

What is the image of the point (8,-6) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

(-8,6)

Step-by-step explanation:

rotating 180 degrees: x and y coordinates change signs

After rotating the point(8, -6) 180 counterclockwise it will become (-8,6).

What are the coordinates of a point?

A point's coordinates are a pair of integers that pinpoint where it is precisely on a two-dimensional plane. Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane. A particular point's coordinates show how far along each axis it is situated.

Given a point (8,-6) after rotating it counterclockwise 180°. A' is formed when our point A(x,y) rotates 180 degrees counterclockwise around the origin (-x,-y). As a consequence, we just make both x and y negative.

Therefore new coordinates of the point will be (-8,6). For better understanding, I am attaching two graphs.

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Does anyone know this?

Answers

Area = 3.14 * (12 miles)² = 452.16 miles²

PLEASE HELP!!!!! WILL GIVE BRAINLIEST!!
Xiao is at the cash register of her favorite store. The total price of her items is $150. She hands the clerk a 25% off coupon. How much money will Xiao save with this coupon?

$25

$30

$37.50

$45

Answers

Answer:

$37.50

Step-by-step explanation:

The answer is $37.50

Round answer to 1 decimal place.

68.8888888...

Answers

Answer:

68.9

Step-by-step explanation:

When rounding to 1 decimal place look at the 2nd decimal. If it is 5 or larger than you round the 1st decimal up by 1, however if it is 4 or lower you leave it.

Write 65 as a product of primes

Answers

Answer: 65 = 1 x 65 or 5 x 13. Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13.

Step-by-step explanation:

Match each set of points with the slope of the line formed by the ordered pairs.
(0,7) and (2,4)
slope = -2
(1,-3) and (-1,-3)
slope = -3/2
(-1,3) and (-1.-3)
OOOOO
slope = 1/2
(0,0) and (2,1)
zero slope
(0,-1) and (2.-5)
no slope

Answers

Answer:

heres your answer (this is my first time answering)

Step-by-step explanation:

(0,7) and (2,4)=-3/2

(1,-3) and (-1,-3)=zero

(-1,3) and (-1.-3)=No slope

(0,0) and (2,1)=1/2

(0,-1) and (2.-5)=-2

What is formula for slope?

Slope of a line = (y₂-y₁)/(x₂-x₁)

The slope formula is (y₂-y₁)/(x₂-x₁)

For (0,7) and (2,4)

Slope=4-7/2=-3/2

For (1,-3) and (-1,-3)

Slope=-3+3/-2=zero

For (-1,3) and (-1.-3)

Slope=-3-3/-1+1=No slope

For (0,0) and (2,1)

Slope=1/2

For (0,-1) and (2.-5)

Slope=-5+1/2=-2

Hence we matched with respective slope to equations.

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Maddy received $60 for her birthday and decided to go shopping. She bought 2 shirts priced at $12.25 each, a necklace for $8.50, and a pair of shoes for $22.75. If all the prices included tax, and she gave the cashier all of her birthday money, how much change did she get back?

Answers

Answer:

$3.75

Step-by-step explanation:

Cost of one shirt = $12.25

cost of two shirt = 2*Cost of one shirt= 2*$12.25 = $25

cost of necklace = $8.50

cost of pair of shoes = $22.75

Total cost for the shopping = cost of two shirt+cost of necklace+ cost of pair of shoes

Total cost for the shopping = $25 + $8.50+ $22.75 = $56.25

Given that Maddy had done total shopping worth $56.25 but she gave cashier all her birthday money which is equal to $60.

Then , cashier will return all the money from $60 exceeding $56.25

change returned to money = money given to cashier - total cost for shopping

change returned to Maddy = $60 - $56.25 = $3.75

Thus, Maddy got Back $3.75

Gabriel is shipping a package of golf balls to his father for his birthday present. Each golf ball weighs 1.6 oz and the package he is shipping them in weighs 15 oz . The function f(x)=1.6x+15 represents this problem situation . In this function , what does the x represent

Answers

Answer:

x represents the number of golf balls in the package

Step-by-step explanation:

Given that the function is f(x)=1.6x+15,

we can see that the function corresponds to the equation of a straight line

that y=mx+c

now comparing this function with the equation of a straight line

f(x)=1.6x+15

y=mx+c

we can see that

x represents the number of golf balls in the package

15 is constant c which is the weight of the package used in the shipping

the measure of an angle is 44 more than the measure of its supplement. Find the measure of the angle.

Answers

i think it would be nice if it was ok if you would never stop and get the mone how this helps

Brainliest Given for the following;
→ No Copy
→ Explanation
a sample representative of the entire population is an
[A] Biased sample
[B] unbiased sample
[C] convenience sample
[D] free sample

Answers

Answer:

[C] convenience sample

Step-by-step explanation:

[C] Convenience sample because where the sample is taken from a group of people easy to contact or to reach. Thus, a sample representative of the entire population is an Convenience

[RevyBreeze]

Answer:

convenience sample

Step-by-step explanation:

[A] Biased sample

[B] unbiased sample

[C] convenience sample