Solve for X : 8x + 3 = 2x

Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= [tex]\frac{-4}{-7}[/tex]

[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.

x= [tex]\frac{4}{7}[/tex]

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= [tex]\frac{8}{2}[/tex]

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= [tex]\frac{55}{11}[/tex]

Divide 55 by 11 to get 5.

y=5

Answer:

3.142857  (3.14)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

slope m=y2-y1/X2-x1

=6-2/9-5

=4/4= 1

Answer:

x = 8

Step-by-step explanation:

10 x 8 = 80 and the bottom would equal 80 as well so you would get 1 ^^

Answer:

x =25/2

10/8 = x/10

- Cross multiply

8x=100

- Divide both sides by 8

x=100/8

- Simplify

x=25/2

Hope This Helps!

Answer:

The corect answer is 16.

Step-by-step explanation:

$ 72.50 per 5 hours = $14.50 per hour ....

because 72.50 ÷ 5 = 14.50

THEN

$232.00 ÷ $14.50 (in other words→23200 ÷ 1450) = 16

Thats it, I also needed help but after hours of consideration I got it.

Answer:

(-1, -7)

Step-by-step explanation:

Solve by graphing.

Graph the two equations together.

The lines intercept at (-1, -7).

Hope this helps.

Answer:

Solution: (-1, -7)

Step-by-step explanation:

6x - 1 = 3x - 4

Subtract 3x from both sides;

3x - 1 = -4

Add 1 to both sides;

3x = -3

Divide both sides by 3;

x = -1

Substitute x into the equation;

y = 3(-1) - 4

y = -3 - 4

y = -7

Answer:

subtraction property of equality.

Step-by-step explanation:

the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)

Answer:

2x^3+3-4

Step-by-step explanation:

Answer:

2x^3 - 1

Step-by-step explanation:

Plato/Edmentum

Answer:

Step-by-step explanation:

4%

Answer: 132 hamburgers and 30 sodas

Step-by-step explanation:

x= Number of hamburgers

y= Number of sodas

1 x + 1 y = 102

1 x -1 y = 30

Eliminate y

Add the two equations

2 x = 132

/ 2

x = 66

plug value of x in (1)

1 x + 1 y = 102

132 + y = 102

y = 102 -132

y = 30

y = 30

x= 132 Number of hamburgers

y= 30 Number of sodas

Answer:

Hotdogs=36

Sodas=66

Step-by-step explanation:

X-Hotdogs

Y-Sodas

Y-30=X

Y+X=102

New equation: 102-X-30=X

Add X to both sides

102-30=2x

x=36

y=66

Answer:

y=3x+2

Step-by-step explanation:

Answer:

The given statement is true.

Step-by-step explanation:

Given function is:

[tex]P(x) = x^4 - 2x^3 - x+2[/tex]

And the given point is:

(1,0)

In an ordered pair, the first element is the input and second is the output. If we plug in the input to the function and get the respective output then the point lies on the graph of function.

For (1,0) we will put x = 1 in function and check whether we get 0 as output

[tex]P(x) = (1)^4 - 2(1)^3 - 1+2\\= 1-2(1)-1+2\\= 1-2-1+2\\=0[/tex]

Hence,

The given statement is true.

Answer:

A. True

Step-by-step explanation:

Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.

Step-by-step explanation:

From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.

Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:

= -$1280 - $560

= - $1840

The new balance is -$1840

Answer:

She is not correct. The correct answer should be -$1840

Step-by-step explanation:

Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.

Answer:

The equivalent expressions are:

[tex]4\left(4a+5\right)=16a+20[/tex]

                [tex]=2\left(8a+10\right)[/tex]

                [tex]=12a+20+4a[/tex]  

Yes, 16a+20 could be further reduced by taking 2 as a common factor.

i.e. 16a+20 = 2(8a+10)

Step-by-step explanation:

Given the expression

solving the expression to determine the equivalent expression

[tex]4\left(4a+5\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]

                [tex]=16a+20[/tex]

Taking 2 as the common factor

                [tex]=2\left(8a+10\right)[/tex]

Also

[tex]12a+20+4a = 16a+20[/tex]  

Therefore, the equivalent expressions are:

[tex]4\left(4a+5\right)=16a+20[/tex]

                [tex]=2\left(8a+10\right)[/tex]

                [tex]=12a+20+4a[/tex]  

Yes, 16a+20 could be further reduced by taking 2 as a common factor.

i.e. 16a+20 = 2(8a+10)

Answer:

Last week, she earned a total of $702 last week in commission.

Step-by-step explanation:

To solve this, we first need to find 13% of $5,400.

5,400 x 0.13 = 702

Therefore, Nadia earned a total of $702 last week in commission.

Now, we need to calculate how much money she'll earn in a whole year. So, let's see how many weeks are in a year.

1 year = 52 weeks when rounded to the nearest whole number

702 x 52 = $36,504

Therefore, Nadia earned a total of $36,504 in commission in 2011.

Hope this helps! :D

Answer:

Choice A

Step-by-step explanation:

Answer:

That is definitely C

happy holidays to you too

Answer: 50+80=130

I wasn’t really sure of what you were really asking, apologies.

Answer:

130 is your answer!

Step-by-step explanation:

50 + 80 can be put as 5 + 8 = 13 and then add a 0. You will get 130!

Answer:

x is 2 and 6 is y

Step-by-step explanation:

The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.

To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]

Where:

a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).

f(x) is the height of the shell at the given x-value.

2πx is the circumference of the shell at the given x-value.

In this case, we need to express y = x³/4 in terms of x to find the function f(x).

Given: y = x³/4

To find the function in terms of x, solve for x:

[tex]x = (4y)^{(1/3)[/tex]

Now, the function f(x) becomes:

[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]

Now, let's calculate the volume using the cylindrical shell method:

[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]

[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]

To integrate, add 1 to the exponent and divide by the new exponent:

[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]

Now, evaluate the expression at the limits of integration:

[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]

[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]

[tex]\mathrm V = 6\pi/7[/tex]

So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.

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Answer:

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

Step-by-step explanation:

Answer:

[tex]\{0,1,2\}[/tex]

Step-by-step explanation:

Given:

[tex]\{(1, 3), (0, 4), (2, 1)\}[/tex]

Required

Determine the domain

A relation is represented as: [tex]\{(x_1, y_1), (x_2, y_2), (x_3, y_3).....(x_n,y_n)\}[/tex]

Where:

[tex]\{x_1,x_2,x_3.....x_n\}[/tex] are the domain of the relation

So, by comparison:

[tex]\{1,0,2\}[/tex] or [tex]\{0,1,2\}[/tex] represents the domain

Answer:

:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

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Complete question :

Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.

Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

How much will Sathish pay for gas?

Answer:

$64.8

Step-by-step explanation:

Given that :

Total length of trip = 2100 km

Length of journey with Satish alone in the car:

(150km) beginning + (150km) ending = 300km

Length of journey with Satish and 2 friends :

2100 km - 300 km = 1800 km

Gas consumption:

6 liters per 100km

Cost of gas = $1.2 / litre

Consumption when Satish is alone :

(6 litres /100 km) * 300km = 18 litres

Cost = $1.2 * 18 = $21.6

Consumption with his 2 friends :

(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres

Cost = $1.2 * 108 = $129.6

Since amount is shared equally :

Amount paid by sattish = $129.6 / 3 = $43.2

Hence, total amount paid by Sattish is :

$21.6 + $43.2

= $64.8

Answer:

64.80 or 64.8

Step-by-step explanation:

whatever works <333

Answer:

You'll pay $3013

Step-by-step explanation:

Amount to pay=$2620+Interest accrued

A=$2620+($2620×0.03×5)

A=$2620+$393

A=$3013

Answer:

5.3

Step-by-step explanation:

We know that the bottom of the ladder is 15 feet from the wall, and it touches the wall 80 feet above the ground.  Imagine it like two points on a graph.  One is at the origin (0,0).  That represents the bottom of the ladder.  The next one is at (80,15), which represents where the top is.  To find slope, we divide rise (y-values) over the run (x-values).  The y value increases by 80, while the x increases by 15.  80 divided by 15 equals about 5.3