Mathematics High School

7x-(6x-1)=2. What is the answer?

Answers

Answer 1

Answer:

x=1

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7x−(6x−1)=2

7x+−1(6x−1)=2(Distribute the Negative Sign)

7x+−1(6x)+(−1)(−1)=2

7x+−6x+1=2

(7x+−6x)+(1)=2(Combine Like Terms)

x+1=2

Step 2: Subtract 1 from both sides.

x+1−1=2−1

x=1

Related Questions

Lucy is going to walk in a fundraising event to raise money for her school band. Her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25. If Lucy wants to make at least $85.00 from her mother’s donation, how far will she have to walk? Show your work.

Answers

Answer:

8 miles

Step-by-step explanation:

let x= miles she walks

7.50x+25=85

subtract 25 from both

7.50x=60

divide both by 7.50

x=8

Simplify: -3(y+2)^2-5+6y

Answers

Answer:3y^2+18y+7

:) happy to help

PLEASE HELP meeeeeeee

Answers

Answer: Distance between x intercepts is 1 unit.

======================================================

Explanation:

Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x

f(x) = -2x+2

0 = -2x+2

2x = 2

x = 2/2

x = 1

Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.

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Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).

First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.

m = (y2-y1)/(x2-x1)

m = (3-6)/(1-0)

m = -3/1

m = -3 is the slope

The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.

So with m = -3 and b = 6, we see that g(x) = -3x+6.

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Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top

g(x) = -3x+6

0 = -3x+6

3x = 6

x = 6/3

x = 2 is the x intercept of g(x)

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In summary, we found...

x = 1 is the y intercept of f(x)x = 2 is the y intercept of g(x)

Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.

A water tank is 2/3 full. 40 litres of water are taken from the tank. The tank is now 1/2 full. How many litres does the tank hold when full?

Answers

⅔ - ½ = 4/6 - 3/6 (make denomenator the same)

= 1/6

Thus, 1/6 = 40 litres

A full tank is 6/6 which equals to 1 whole

So,

1 unit (from 1/6) = 40 litres

6 units (from 6/6) = 40 × 6

= 240 litres

Therefore, the tank holds 240 litres when it is full.

( i hope my solution helps :3 )

The number of liters does the tank hold when full is 240 liters.

Number of liters

Formulate

x=40÷⅔ - ½

Let find the common denominator

x=40÷4-3/6

Calculate the sum or the difference

x=40÷1/6

Divide the fraction

x=40×6

x=240 liters

Inconclusion the number of liters does the tank hold when full is 240 liters.

Learn more about number of liters here:https://brainly.com/question/24928841

The ratio of yellow to blue skittles in a bag 5:9 if there are 12 more blue skittles in the bag than yellow skittles how many yellow skittles are in the bag

Answers

Answer: 15

Step-by-step explanation: 5/9=15/27. 27-15=12

The number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

What is Ratio?

A ratio is an ordered pair of numbers x and y which can be written as x / y where y does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

For given information,

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag= 12+Y

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/(5+9)= 9/14

The total number of skittles = Yellow + Blue

in this Y as yellow; Y+12 as blue.

Y + Y + 12 = 2·Y + 12

The fraction of the total skittles that are blue = 9/14

we have 9/14 × (2·Y + 12) = Y + 12

-> 9 × (2·Y + 12) = 14 × (Y + 12)

-> 18·Y + 108 = 14·Y + 168

-> 18·Y - 14·Y = 168 - 108 = 60

-> 4·Y = 60

-> Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.

Thus, the number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

Learn more about Ratio, here:

https://brainly.com/question/13419413

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The length of a rectangle is 2 yards less than 3 times the width.The perimeter is 68 yards. Find the width

Answers

Answer:

length = (3*width) -2

length + 2 = 3*width

width = (length +2) / 3

2*length + 2*width = 68

OR: 2*length = 68 -2*width

If length = (3*width) -2 then

2*length = 6 * width -4

therefore,

6 width -4 = 68 -2 width

8 width = 72

width = 9

Since 2 length + 2 width = 68

then 2 length = 68 -2 width

2 length = 68 -18

length = 25

Step-by-step explanation:

C(x) = mx + 500
A company's total cost c(x), in dollars, to produce x shirts is given by the function above, where m is a
constant and x > 0. The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to
produce 1000 shirts? (Disregard the $ sign when entering your answer.)

Answers

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

Total cost to produce 1000 shirts will be $3500.

Linear equation: A linear equation with two variables 'x' and 'y' are given by,

y = mx + b

Here, m = constant

Given in the question,

Equation representing company's total cost C(x) and number of shirts 'x' as,

C(x) = mx + 500

Here, m = constant

And x > 0

If C(x) = $800, x = 100,

800 = m(100) + 500

m = 3

Equation for the total cost to produce the 'x' shirts will be,

C(x) = 3x + 500

If x = 1000,

C(x) = 3(1000) + 500

x = $3500

Therefore, total cost to produce 1000 shirts will be $3500.

Learn more about the linear equation here,

https://brainly.com/question/24391884?referrer=searchResults

Please help, Solve Systems of Linear Equations

Answers

Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation using elimination:

Solve the following system: