if 3x - 14 equals 2x + 10 what is 3x - 14

Answers

Answer 1

3x - 14 = 2x + 10

Subtract 2x from both sides and add 14 to both sides to get variables on one side and constants on the other.

3x - 2x = 10 + 14

Simplify

x = 24.

Now plug back in.

3(24) - 14
72 - 14
= 58

Answer 2

Final answer:

In the equation 3x - 14 = 2x + 10, the solution for x is 24. Substituting x = 24 into the expression 3x - 14 gives a result of 58. Therefore, the value of 3x - 14 under these conditions is 58.

Explanation:

The student's question introduces an equation where two expressions are set equal to each other: 3x - 14 and 2x + 10. To find the value of 3x - 14, we first need to solve this equation for x.

To do so, we subtract 2x from both sides to get x - 14 = 10. We then add 14 to both sides to get x = 24. Thus, the value for 'x' that makes the two expressions equal is 24. Substituting 'x' into 3x - 14 gives us 3*24 - 14, which calculates to be 58.

Therefore, the value of 3x - 14 when 3x - 14 equals 2x + 10 is 58.

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Related Questions

Please help to solve.

Answers

#8 is no solution because 0 does not equal 4
#10 the answer is no because (3, -1) does not work for both equations

system of equations

y=2x-3
x+y=18

Answers

2x-3=-1x+18
+1x +1x
3x-3=18
+3 +3
3x=21
divide both sides by 3
x=7

Mr. Hanson has 3 lemons and 1 lime in a bag. He selects one piece of fruit without looking. What is the probability that Mr. Hanson will select a lemon?

A. 1/4
B. 1/3
C. 2/3
D. 3/4

Answers

The probability that Mr. Hanson will pick a lemon is d. 3/4.

3 + 1 = 4. The 3 lemons make up 3/4 of the fruit, so he has a 3/4 chance, or 75% chance of picking a lemon.

Hope I could help! Let me know if there is anything else you need!

p.s. Brainliest? I am trying to get to higher ranks and it would really help :)

Lemons = 3
Lime = 1
Total = 4

Probability :
[tex] \dfrac{3}{4} = \dfrac{lemons}{total} [/tex]

Answer is D. 3/4

Hope this helps. - M

Darren is finding the equation in the form y=mx+b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation?

Answers

gradient = (8-18)/(-3-2)
= -10/-5
= 2

y = mx + b , at point ( -3,8 )
8 = 2(-3) + b
8 = - 6 + b
b = 14

we cannot simply take one of the y coordinate as value of b because b is the interception of straight line,not a point

Hello!

B - Y-intercept

First, let's write out the equation by finding the slope

[tex]y = mx + b [/tex]

[tex] \frac{8-18}{-3-2} = \frac{-10}{-5} = 2[/tex]

Our slope is 2. Let's plug this in

[tex]y = 2x + b[/tex]

Now let's find the y-intercept. Plug one of the x and y values into the equation. I'll use the ones for (2, 18) since they're positive.

[tex]18 = 2(2) + b 18 = 4 + b 18 - 4 = 4 - 4 + b 14 = b [/tex]

He should use the number 14 as the y-intercept. Here's what his equation will look like.

[tex]y = 2x + 14[/tex]

Hope I helped! :3

Josh has scores of 16,19 and 23 on three quizzes what score must he get on the next quiz to have an average of at least 20?

Answers

Hi,
Let the score be x
average=sum of observations/no. of observations
20=16+19+23+x/4
20=58+x/4
20*4=58+x
80=58+x
80-58=x
x=80-58
x=22
To get at least 20, he should at least score 22 in his next quiz.
Hope this helps you.

20*4=80
The sum of the numbers should be 80.
16+19=35+23=58
80-58=22

The answer is 22.

Which shows a correct order to solve this story problem? Lucy bought some muffins for her sports team. She bought 1 box of 12 blueberry muffins for $6.60 and 1 box of 6 cranberry muffins for $3.36. How much did Lucy pay for 1 cranberry and 1 blueberry muffin? A. Step 1: Calculate the price of 1 blueberry muffin. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Multiply the 2 numbers together. B. Step 1: Add $6.60 to the price of a box of cranberry muffins. Step 2: Calculate the price of 1 blueberry muffin. Step 3: Multiply the 2 numbers together. C. Step 1: Calculate the price of 1 blueberry muffin. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Add the 2 numbers together. D. Step 1: Add $3.36 to the price of a box of blueberry muffins. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Multiply the 2 numbers together.

Answers

The only correct one is C

If 21% of the customers in a restaurant order fish, what is the probability that the next 3 costumers in a row will order fish?

Answers

Probability of ordering a fish=21%=0.21, given that this is an independent event
then the probability of the next 3 customers in a row will order fish will be given by:
P(fish)=0.21×0.21×0.21=0.009261

Answer: 0.009261

Match the system of the equation to the correct description of its solutions

10x + 4y = 6
10x - 3y = 7

1. Single Solution
2. No Solution
3. Infinite Solution

Answers

Single solution.

They have different slopes and must therefore have 1 solution.

a rancher wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have ?

Answers

lets l to be lenght, w width, p perimeter and a area:

a=lw

6400 ft²=lw

2(l+w)=p

2(l+w)=400 ft

l+w= 200 ft

l=200ft-w

substitute it instead of l to lw=6400ft²

(200-w)w=6400

200w-w²=6400

w²-200w+6400=0

(w-160)(w-40)=0

w = 160ft

w = 40ft

l=200-w

l=200-160 = 40ft

l= 200-40 =160ft

Final answer:

The rancher should build a square with dimensions of 80 feet by 80 feet to obtain an area of 6400 square feet with 400 feet of fencing.

Explanation:

In this Mathematics task, the rancher is looking to build a rectangular area with a fixed amount of fencing. The information provided is:

Length of Fencing = 400 feet Area = 6400 square feet

Let l represent the length and w represent the width of the rectangle. Now, we know that a rectangle's perimeter is given by the formula, 2(l + w), and its area by l*w. Given the Area = 6400 and Length of Fencing = 400, we can set up the following two equations:

lw = 6400 (Area) 2(l + w) = 400 (Perimeter)

Solving these two equations simultaneously, we get l = 80 feet and w = 80 feet. So, the rectangle is actually a square, with equal length and width of 80 feet.

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From midnight to 6:00 am, the temperature rose 8*C. At 6:00 am, the temperature was -20*C. What was the tempeature at midnight?

Answers

-12*C From 12pm to 6am the temp was unknown but at 6 it was -20*C just subtract that by -8*C

Hey can someone help me with #17

Answers

D. 54° as you know an external angle has to equal up to 360

when you start plugging in 360 by 36 gives you 10
360 by 40 gives you 9
360 by 45 gives you 8
360 by 54 gives you 6.666 repeating you know that it isn't possible
you cannot have a repeating number of sides as an angle measure
that's how you get that answer

ANYONE???

The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts from smallest to largest.

The amounts were 2, 2, 2, 2, 3, 3, 3, 4, 4, and 5 cm. The mean of these measurements is 3 cm.

What is the mean absolute deviation? 0.0 cm 0.8 cm 1.0 cm 2.5 cm

Answers

The correct answer would be 0.8 cm
I hope this helps !

the function ........

Answers

I am sure, It is false.

A wooden peg game in the shape of a triangular prism is 2 inches tall. The triangle has a base of 12 inches and a height of 9 inches. Find the volume of the game.

Answers

The volume of the game will be given by:
Volume=(base area)×height
base area=1/2×base×height
=1/2×12×9
=54 in²
Therefore the volume will be:
Volume=54×2=108 in³

The volume of the wooden peg game in the shape of a triangular prism is calculated by finding the area of the triangular base and multiplying by the prism's height. The area of the triangle is 54 square inches, and the volume of the game is 108 cubic inches.

To find the volume of the wooden peg game, we will use the formula for the volume of a prism, which is the area of the base times the height of the prism. The base of the prism is a triangle, so first, we need to find the area of the triangular base. The area of a triangle is calculated by multiplying the base by the height and then dividing by 2.

First, we calculate the area of the triangle base:

Area of triangle base = (Base of triangle x Height of triangle) / 2Area of triangle base = (12 inches x 9 inches) / 2Area of triangle base = 108 inches² / 2Area of triangle base = 54 inches²

Next, we multiply the area of the base by the height of the prism to find the volume:

Volume of prism = Area of base x Height of prismVolume of prism = 54 inches² x 2 inchesVolume of prism = 108 inches³

Therefore, the volume of the wooden peg game is 108 cubic inches.

19.6x24 i am confusion

Answers

Since Area=LxW, you would multiply the length,24m,by the width,19.6.
which gives you 470.4m.
The area is 470.4

To find the perimeter, you have to add the lengths of all four sides.
which is 87.2, i believe

8(t+2)-3(t-4)=6(t-7)+8 i dont understand this is 5.111111 correct?

Answers

8(t + 2) - 3(t - 4) = 6(t - 7) + 8

To solve this equation, first apply the Distributive Property. The Distributive Property is defined as a(b + c) = ab + ac. We'll need to apply it three times for this equation.

8(t + 2) => 8t + 16
-3(t - 4) => -3t + 12
6(t - 7) => 6t - 42

This gives us

8(t + 2) - 3(t - 4) = 6(t - 7) + 8
8t + 16 - 3t + 12 = 6t - 42 + 8

Next, combine like terms (constants with constants and variable terms with variable terms).

8t + 16 - 3t + 12 = 6t - 42 + 8
5t + 28 = 6t - 34

Now we need to get all constants on one side and all variable terms on the other side. Begin doing so by first subtracting 28 from both sides.

5t + 28 = 6t - 34
5t = 6t - 62

Subtract 6t from both sides.

5t = 6t - 62
-t = -62

Divide both sides by -1.

t = 62

Answer:
t = 62

whats 5 plus 4 ..........

Answers

5 + 4 = 9

Imagine you have 5 apples and then you add 4 more on,

5 + 1 + 1 + 1 + 1 = 9

Hope this helps.

5 plus 4 is equivalent to 9. This can be represented abstractly

||||| + |||| = |||||||||

suppose linda had 2/3 of a yard of fabric and told Sandra that she used 3/4 of a yard. Sandra says this is not possible. Do you agree? Explain the answer

Answers

I do not agree because 3/4 is greater than 2/3 so you can not do 3/4-2/3

HEEEEEEEEEEEEELLLLLLLLLLPPPPPPPPPP

Fraction 4 over 5n = Fraction 2 over 3. n = ___?

A. Fraction 2 over 15
B. Fraction 5 over 6
C. 1Fraction 1 over 5
D. 1Fraction 7 over 15

Answers

The answer is B, 5/6, because when you multiply 4 by 5 it is 20, and when you multiply 5 by 6, you get 30, so 20/30. And, 20/30=2/3. I hope I answered your question!

The correct option is (b) 5/6.

What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given ,

[tex]\frac{4}{5} n = \frac{2}{3} \\[/tex]

now do simply cross multiplication both sides,

4n × 3 = 2 × 5

4n = 10/3

n = 10/3 ×4

n = 10/12 ⇒ 5/6

Therefore, value of n is 5/6.

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If you flip a coin and roll a 5-sided die, what is the probability that you will flip a tails and roll a 2?

Answers

[tex] |\Omega|=2\cdot5=10\\
|A|=1\\\\
P(A)=\dfrac{1}{10}=10\% [/tex]

what is 1.44 ÷ 0.3?????

Answers

When you divide these two numbers together,, the answer is going to be 4.8. This also equals to[tex] \frac{24}{5} [/tex] or [tex] 4 \frac{4}{5} [/tex]. Let me know if you don't happen to know how to do division with decimals,, and I would be more than happy to teach you.
Let me know if you have any further questions.
:)

Final answer:

The problem 1.44 ÷ 0.3 equals to 4.8 when you using standard procedure for division, first moving the decimal point one position to the right for both numbers to get 14.4 ÷ 3.0, and then performing the division.

Explanation:

To find the result of 1.44 ÷ 0.3, you can use the standard procedure for division. One way to make this easier is to modify the divisor to be a whole number. To do this, we can move the decimal point one position to the right. But we have to do the same thing with the dividend too. Therefore, the problem becomes 14.4 ÷ 3.0. And when you perform this division, the answer is 4.8. So, 1.44 divided by 0.3 is equal to 4.8.

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simplify the expression. Write your answer using only positive exponents:7^6 x 7 x 7^-4

Answers

The problem is asking you to simplify the exponents. When you multiply two or more powers with the same base, the exponents can be added and subtracted. In this case, the base is 7.

[tex]7^6*7*7^{-4}[/tex]

7 can also be written as [tex]7^1[/tex].

[tex]7^6*7^1*7^{-4} = 7 ^{(6+1-4)} = 7^3[/tex]

The answer would be 7³ if you kept the exponent, or 343 if you simplified further.

Final answer:

To simplify the expression 7^6 x 7 x 7^-4 using positive exponents, we can apply the rule of multiplying powers with the same base.

Explanation:

To simplify the expression 7^6 x 7 x 7^-4 using positive exponents, we can apply the rule of multiplying powers with the same base. First, let's simplify 7^6 x 7. This can be rewritten as 7^(6+1) or 7^7. Next, let's simplify 7^7 x 7^-4. Applying the rule of multiplying powers with the same base, we get 7^(7-4) or 7^3. Therefore, the simplified expression is 7^3.

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What is the formula for a circle that has a center at (-1,4) and goes through the point (-4,0)?

Answers

Its (x + 1)^2 + (y - 4)^2 = r^2 ( because the center is at (-1,4)
To find r^2 we substitute for the point (-4,0):-
r^2 = (-4+1)^2 + (0-4)^2 = 9 + 16 = 25

r^2 = 25 so the answer is:-

(x + 1)^2 + (y - 4)^2 = 25

what is the value of g divide by 4,if g=20?
a.4
b.5
c.6
d.7

Answers

The answer is b.5 because 5 x 4 is 20 and g is 20

What is the value of g divide by 4, if g = 20?

Answer:

Plug it in:

20/4

Simplify:

= 5

so the answer is B.

Hope this helps!

Can someone please help me on number 8. Explain how you got the answer please .

Answers

First you'll have to find the value of x.

The two labeled angles are alternate exterior which means they are congruent.

Set the equal to each other and solve for x.

3x = 4x - 24
3x - 4x = -24
-x = -24
x = -24/-1
x = 24

Now use 24 for x and find the value of angle RST.

RST = 3(24)
RST = 72

The answer is D.

Hope this helps :)

Which statement is true about two angles that are complementary?
A. The angles share a common ray.
B. The sum of the measures of the two angles is 90°.
C. The angles are opposite each other.
D. The sum of the measures of the two angles is 180°.
ITS B!!!

Answers

Complementary angles are two angles that total 90°, so yes, you are correct.

ANSWER: The answer is (B) the sum of the measures of the two angles is 90°.

Hope this helps! :)

Answer:

Step-by-step explanation:

the answer is b hope this helps

The standard form of a number represented by the Roman numeral MMCCXLVIII is:

Answers

The standard form is 2248

A ___ expense is a cost that may happen each month, but one who's total amount may change from month to month. A) fixed B) variable C) flexible D) discretionary

Answers

Answer:

B. Variable

Step-by-step explanation:

A Variable expense is a type of expense that may vary from month to month. This type of expense includes things like electricity, groceries, clothing, and gas. When it comes to the groceries, it is considered to be a variable expense only if the household need the items that are purchased.

Answer:

B) variable

A variable expense is a cost that may happen each month, but one who's total amount may change from month to month.

simplify4xy-2x+4x-8xy

Answers

-4xy+2x because u combine the like terms

the answer is -4xy-2x

The sum of three numbers is 78. the second number is two times greater than the first. the third number is 12 more than the first...... find each number

Answers

I just randomly guessed numbers, here is your answer:

16.5 + 33 + 28.5 = 78

16.5 x 2 = 33
16.5 + 12 = 28.5
Yeah

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