Solve for x:
5x - (x + 4) + 1 = 3 - 2(x + 6)

Answers

Answer 1

Answer:

x = -1

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x - (x + 4) + 1 = 3 - 2(x + 6)

Step 2: Solve for x

Distribute:                          5x - x - 4 + 1 = 3 - 2x - 12Combine like terms:          4x - 3 = -2x - 9Add 2x on both sides:      6x - 3 = -9Add 3 to both sides:         6x = -6Divide both sides by 6:     x = -1

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)Parenthesis (Add):        5(-1) - 3 + 1 = 3 - 2(5)Multiply:                        -5 - 3 + 1 = 3 - 10Subtract:                       -8 + 1 = -7Add:                              -7 = -7

Related Questions

What are the domain and range of x= -2?

Answers

Answer:

The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.

Step-by-step explanation:

Is table values represents a function of f(x) =3x -4 what statement explains why she is correct or incorrect?

Answers

She is correct
Slope:3
Y-intercept:0,4

What is the difference between an image under a dilation with a scale factor 0 1

Answers

is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement.

slope= 1/4, y intercept=2

Answers

Answer:y = mx + b formaty = 1/4x + 2Hope this helps!!

Kyra walks 2 miles in 30 minutes, how long will it take her to walk 120 minutes.

Answers

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

A line has a slope of 2 and passes through the point (0,0) what is its equation in slope intercept form

Answers

Answer:

y=mx+b is slope-intercept form

where m is the slop, and b is the y intercept

if m is the slop then we can plug that into the equation

y=2x+b

next plug in the y intercept which is 0. the y intercept is the y ok the given point. in the point the y is zero making your intercept 0.

y=2x+0

eliminate the 0

y=2x is your equation

Step-by-step explanation:

Please please PLEASE hurry! 95 points!
Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400
Let y represent the total fee (in dollars) of a trip where they climbed xxx vertical meters.
Complete the equation for the relationship between the total fee and vertical distance.

Answers

Answer:

Step-by-step explanation:

The formula is F(d) = 100+0.10d.

We must find the cost per meter to write the function. We know that the cost to climb a 3000 meter mountain was 400:

400=100+3000(x)

Subtract 100 from each side:

400-100 = 100+3000x-100

300 = 3000x

Divide both sides by 3000:

300/3000 = 3000x/3000

0.10 = x

This is the cost per meter.  Using this, we have the formula

F(d) = 100+0.10(d)

Answer:

T(x) = 0.1x + 100

Step-by-step explanation:

Total fee is $400Initial one off fee is $100Fee for each meter = x

Considering all the given and the vertical distance of 3000 m we get below equation

400 = 100 + 3000x

Solving, we find the fee for each meter:

400 -100 = 3000x300 = 3000xx = 300/3000x = 0.1 dollar per meter

So the equation for total fee including climbing x meters is:

T(x) = 0.1x + 100

Problem 3: Serena is the manager of the coffee shop. The amount of money she earns is represented by the equation m=21h, where h is the number of hours Serena works, and m is the amount of money she earns. How much more money does Serena make an hour than Gabe? Explain your thinking.

Answers

Answer:

Serena earns $7.50 per hour more than Gabe

Step-by-step explanation:

Given

Serena:

[tex]m = 21h[/tex]

Gabe

Earnings: $13.50 per hour  ----- Missing Part of equation

Required

How much more does Serena earn per hour

For Serena

[tex]m = 21h[/tex] implies that She earns $21 per hour

So, to determine how much more She earns, we simply calculate the difference.

[tex]Difference = \$21 - \$13.50[/tex] (per hour)

[tex]Difference = \$7.50[/tex] (per hour)

The difference implies that Serena earns $7.50 per hour more than Gabe

If DE=2x-1, what is the value of x

1. 7
2. 7.5
3. 8
4. 8.5

Answers

Taking into account the 90° rotation: A is D, B is E, and C is F. So, the corresponding side on Triangle ABC to the side DE(2x - 1) is AB (16).

16 = 2x - 1

Add 1 on both sides

17 = 2x

Divide by 2 on both sides

8.5 = x

I believe this is your answer

The value of the variable 'x' will be 8.5. Then the correct option is D.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In the diagram below, ΔABC with sides of 13, 15, and 16, is mapped onto ΔDEF after a clockwise rotation of 90°.

The side AB is equal to DE. Then we have

DE = AB

2x - 1 = 16

2x = 16 + 1

2x = 17

x = 17/2

x = 8.5

The value of the variable 'x' will be 8.5. Then the correct option is D.

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HELP 1 QUESTION.... Write a plan for proving that <1 is congruent to <2

Answers

Answer:

corresponding angles

Alternate angle

cointerior angle

Mira has breakfast at a restaurant. She leaves a 20\%20%20, percent tip of \$1.80$1.80dollar

Answers

Answer:

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

Let say Mira's breakfast Price = B $

Tip she left = 20 %

20 % Tip amount =  (20/100) B =  0.2B $

Tip Amount She left = $ 1.8

Equating Tip Amount

0.2B = 1.8

=> B = 9

Price of Mira Breakfast = 9 $ before tip

Step-by-step explanation:

A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)

Answers

The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

Step-by-step explanation:

Given information:

[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]

[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]

[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]

[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]

Now,

If ,we take a right circular cone with radius r and height h , its volume

[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]

Now, the radius of cone when the volume of water tank is given

[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]

The ratio of height to radius of the cone :

[tex]\text {h/r} =3[/tex]

[tex]\text r = \text h/3[/tex]

Now calculate :

[tex]dV/dt= dV/dh \times dh/dt[/tex]

Which gives:

[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]

As ,

[tex]27=\frac{1}{27 \times h}[/tex]

[tex]\text h^3=27^2\\\text h= 9\\[/tex]

Now,

[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]

Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

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At a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box. $

Answers

Answer:

$357.5

Step-by-step explanation:

Answer:

347.50

Step-by-step explanation:

you have to put the 0 at the end i didnt and got it wrong.

If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?

Answers

-7/3

Step-by-step explanation: is the answer for odyssey ware

Do you know the answer

Answers

Answer:

y=2x+2

Step-by-step explanation:

The * stands for multiplication.

0*2+2=2

3*2+2=8

6*2+2=14

All of these statements are true, so this should be the correct answer.

is 1.30 bigger than 1.3?

Answers

It is the same value

Which question can be answered using the expression 1/3÷ 3/4 ​

Answers

Answer:

Jillian had a cake and Ruby ate 2/3 of it. Jillian's friends then came over and consumed 3/4 of the kuchen, which Ruby already ate out of. How much of the cake is left?

Step-by-step explanation:

Just think about it with simpler numbers. What if the expression was (4 ÷ 2)? Then the word problem could be made quite easily. Following the previous example, simply replace the numbers (4 and 2) with the fractions given (1/3 and 3/4) and make a few tweaks for it to make more sense.

Good luck!

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

Word problems involving equations

Algebraic equations are ways we can solve real life apllications.

Given the division problem

1/3÷ 3/4 ​

This can be written usng this statement:

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

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A pet store has two types of betta fish ref betta fish and blue betta fish a customer notices that 7 out of 12 betta fish in the store are red what is the ratio of blue betta fish to red betta fish?

Answers

Answer:

5:7

Step-by-step explanation:

A pet store has two types of betta fish which is red and blue

She noticed that 7 out of the 12 beta fishes are red

This means that there are 7 red beta fishes and 5 blue betta fishes

Therefore the ratio of blue betta fish to red betta fish is

= 5:7

Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Miles 34 ?
Hours 14 ?
miles per hour

Answers

2.615 miles per hour I think

Luis' speed in miles per hour is 136.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

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CIVICS In the 2004 presidential election, Ohio had 20 electoral votes.
This is 14 votes less than Texas had. How many electoral votes did Texas
have in 2004?

Answers

Answer:

34

Step-by-step explanation:

Ohio had 20

14 votes less than Texas (20 + 14)

34 electoral votes Texas had in 2004.

~~~Hope this helps~~~

3. x + y = 15
X - y = 3
solving systems of equations

Answers

Answer: x=10 y=5 = 15xy

Step-by-step explanation:

solve the equation 4x²+4x+1=0​

Answers

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation:

If the value of x is 6 what is the value of y PIC included
PlEASE help hurry

Answers

Answer:

the value of y = 5

Step-by-step explanation:

what is the difference between mutiplying and adding polynomials

Answers

Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

Which one is right *Will make BRAINLEST*

Answers

Answer:

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Step-by-step explanation:

Associative property is applied on three numbers which states that when two numbers are being added or multiplied the order of addition and multiplication doesn't matter i.e. the answer is same.

If a,b and c are three numbers then associative property for multiplication can be given as:

a.(b.c) = (a.b).c

The given expression is:

[tex]14(\frac{1}{7}.\frac{2}{5})[/tex]

Applying the associative property for multiplication we get

[tex](14.\frac{1}{7})\frac{2}{5}[/tex]

Hence,

The correct answer is:

Option A: [tex](14.\frac{1}{7})\frac{2}{5}[/tex]

(-1,1) and (0,4) are on the line what is the linear equation in standard form

Answers

Answer:

y-3x=4

Step-by-step explanation:

1-4/-1-0=3

1 = 3(-1)+b

1=-3+b

b=4

The equation of linear equation in standard form consisting points (-1, 1) and (0, 4) is,

⇒ y = 3x + 4

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-1, 1) and (0, 4)

Now,

Since, The equation of line passes through the points (-1, 1) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 1) / (0 - (-1))

m = 3 / 1

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 1 = 3 (x - (-1))

⇒ y - 1 = 3 (x + 1)

⇒ y - 1 = 3x + 3

⇒ y = 3x + 3 + 1

⇒ y = 3x + 4

Therefore, The equation of linear equation in standard form is,

⇒ y = 3x + 4

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A container of water holds 128 fluid ounces. Toya drinks 8 fluid ounces of water every hour. How many fluid ounces are in the container after 8 hours

Answers

Answer: 64 fluid ounces

Step-by-step explanation:

Amount of water in the container = 128 fluid ounces

Amount drank by Toya every hour = 8 fluid ounces

For 8 hours, Toya would have drank:

= 8 × 8 fluid ounces

= 64 fluid ounces

To calculate the amount of fluid ounces

thataree in the container after 8 hours, we then subtract 64 fluid ounces from 128 fluid ounces. This will be:

= 128 fluid ounces - 64 fluid ounces

= 64 fluid ounces

3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.

Answers

All natural numbers are whole numbers

PLEASE HElP BEfORe MY BRAIN StarTs LagGiNg

Answers

Answer:

A.

Step-by-step explanation:

your equation has no exponents, it is linear.

Answer:

A

Step-by-step explanation:

SOMEONE HELP. I WILL GIVE BRAINLIEST (I will report foolish answers)

Answers

Answer:

second A

Step-by-step explanation:

They are alternate interior angles

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