7(x-10)-2(x+5)=4x-7+6x-3

Answers

Answer 1
x= (-14)
the work is on the paper. but the first step is to distribute the 7 and (-2) then combine like terms.
7(x-10)-2(x+5)=4x-7+6x-3
Answer 2

Final answer:

The algebraic equation 7(x-10)-2(x+5)=4x-7+6x-3 simplifies through distribution, combining like terms, and isolating x, resulting in the solution x = -14.

Explanation:

The student's question involves solving the algebraic equation 7(x-10)-2(x+5)=4x-7+6x-3. To solve this equation, we will simplify and solve for x, demonstrating the process step-by-step.

Step 1: Distribute and Simplify

First, distribute the numbers outside the parentheses:
7(x-10) becomes 7x - 70 and
-2(x+5) becomes -2x - 10.

The equation now looks like 7x - 70 - 2x - 10 = 4x - 7 + 6x - 3.

Step 2: Combine Like Terms

On the left side of the equation, combine 7x and -2x to get 5x. Also, combine -70 and -10 to get -80.
On the right side, combine 4x and 6x to get 10x, and -7 with -3 to get -10.

Step 3: Further Simplification and Solving for x

Now, the equation is 5x - 80 = 10x - 10. Subtract 5x from both sides to get -80 = 5x - 10. Adding 80 to both sides gives us 0 = 5x + 70. Subtract 70 to get 5x = -70. Finally, divide by 5 to find that x = -14.

In conclusion, through the steps of distribution, combining like terms, and isolating x, we find the solution to the original algebra problem to be x = -14.


Related Questions

Simplify the radical 80

Answers

You have to find perfect squares when factoring 80.

Irwin purchased a $195,000 home with a 30-year mortgage at
5.55%. If makes a $1500 monthly mortgage payment, how
many months early will he pay off his mortgage?
A. 224 months
B. 127 months
C. 136 months
D. 160 months

Answers

C. 160 months because $195,000/$1500+30 =160

the product of 3 and m

Answers

Answer:3mStep-by-step explanation:3 x m = 3m

Mrs.Gunn makes one costume in 3hours and 20 minutes. How long will it take her to make 6 costumes for a school play?

Answers

Answer:

20 hours

Step-by-step explanation:

We can change the 3 hours and 20 minutes to "minutes" instead of hours:

1 hour is 60 minutes. So 3 hours is 60 * 3 = 180 minutes.

Add the 20 : 180 + 20 = 200 minutes for one costume.

Multiply by 6 for 6 costumes: 200 * 6 = 1200.

So 1200 minutes or 1200/60 = 20 hours to make 6 costumes

What is the answer for the question

Answers

Answer:

200.52 m²

Step-by-step explanation:

A = 12² + π·6²/2

= 144 + 36π/2

= 144 + 18×3.14

= 144 + 56.52

= 200.52 m²

One morning, a diner chef had 176 breakfast orders. The circle graph shows the types of orders. About how many orders were for eggs? A circle graph titled Breakfast Orders. The graph has four sectors. The sector labeled Waffles has a value of 28%. The sector labeled Eggs has a value of 43%.The sector labeled Pancakes has a value of 10%. The sector labeled Cereals has a value of 19%. a) 133 b)119 c) 76 d)43

Answers

Answer:

76

Step-by-step explanation:

Given that in one morning, a diner chef had 176 breakfast orders.

Now, a circular graph shows the types of orders and it shows that 43% of the total labeled as the Eggs order.

We have to find the number of orders were there for eggs.

Now, it will be 43% of total breakfast orders i.e. 176.

Hence, it was [tex]176 \times \frac{43}{100} = 75.68[/tex] ≈ 76 (Answer)

Final answer:

To find the quantity of egg orders, we multiply the total number of orders (176) by the percentage of orders for eggs (43%). The result, 75.68, is rounded to the nearest whole number to get 76 orders.

Explanation:

The question is about calculating a certain percentage of the total number of breakfast orders. Given that the total number of orders is 176 and the percentage of orders that were for eggs is 43%, we can calculate the number of egg orders by multiplying 176 by 43% (or 0.43 as a decimal).

To calculate this, take the total number of breakfast orders and multiply it by the percentage of orders that were for eggs. In this case, that would be 176 (the total orders) multiplied by 0.43 (the percentage of orders made up of eggs).

Here's how to calculate it: 176 * 0.43 = 75.68 Because we can't really have a fraction of an order, we'll round to the nearest whole number, which gives us 76 orders.

Therefore, the answer is c) 76.

Learn more about Percentage Calculation here:

https://brainly.com/question/329987

#SPJ3

When solving the equation 2y2 – 16y = 6 by completing the square, what is your first step?
Question 6 options:



Divide –16 by 2 and square the result.



Divide each side of the equation by 2.



Take the square root of 6.



Subtract 6 from each side of the equation.

Answers

Answer:

Divide each side of the equation by 2.

Step-by-step explanation:

(I took the test so i know its right) Basically, when doing the this by completing the square we need y^2 by itself, so we divide 2y^2-16y=6 by two first.

Answer:

Divide each side of the equation by 2.

Step-by-step explanation:

2y² – 16y = 6

Divide both sides by 2

y² - 8y = 3

Paulina gets on an elevator. At the first stop, 4 people get off and 3 get on. At the second stop, 5 people get off and one gets on. At the the third stop, Paulina gets off. If 4 people are still on the elevator when Paulina gets off, how many people were on the elevator when she got on?​

Answers

Answer:

look down + pls give me brainiest

Step-by-step explanation:

Let x = number of people when she got on.

x -4+3 -5+1 -1 = 4

x -6 = 4

Solve for x to get x=10.

So there were 10 people when Paulina got on (including herself).

Solve for x if DEFG is a parallelogram

Answers

opposite sides of a parallelogram are congruent, so you know that 2x + 2 = 3x - 3. start by adding 3 to both sides to get 2x + 5 = 3x. then subtract 2x from both sides to get 5 = x.


1a.) Write an expression that represents the area of a circle with a radius of 7 units? (1 point)
b. Using your expression, solve for the area of a circle with a radius of 7 units. (1 point) PLEASE HELP PLEASE WILL MARK BRAINLIEST AND GIVE POINTS

Answers

Final answer:

To find the area of a circle with a radius of 7 units, use the formula A = πr². Substitute 7 for r to get A = π(7²), which calculates to approximately 153.93804 square units. We round it to 150 square units, to match the significant figures of the radius.

Explanation:

The expression representing the area of a circle with a radius of 7 units is A = πr², where 'A' is the area and 'r' is the radius of the circle. To solve for the area with a radius of 7 units:

Substitute the radius (7 units) into the expression: A = π(7²).

Square the radius: 7² = 49.

Multiply by π (approximately 3.14159): A = π(49) or A ≈ 3.14159 × 49.

Calculate the area, which gives approximately 153.93804 square units.

Since the radius is given in two significant figures, you should express the area in two significant figures: A ≈ 150 square units.

2019 Chapter Sprint Round, #20
Jones is chasing a car 800 meters ahead of him. He is on a horse moving at 50 km/h. If Jones catches up to the car in 4 minutes, how fast was the car moving?

Answers

Answer:

[tex]Speed\ of\ car=38\ km/h[/tex]

Step-by-step explanation:

Distance Covered by Horse:

[tex]Speed\ of\ horse=50\ km\h=50\times \frac{1000}{60}\ meter/ minute\\\\Speed\ of\ horse=\frac{2500}{3}\ meter/minute\\\\Distance\ covered\ in\ 4\ minutes=speed\times time=\frac{2500}{3}\times 4\\\\Distance\ covered\ in\ 4\ minutes=\frac{10000}{3}\ meters\\\\[/tex]

Distance covered by Car:

[tex]Let\ speed\ of\ car=x\ meter/minute\\\\time=4\ minutes\\\\Distance\ covered=speed\times time=4\times x=4x[/tex]

[tex]Distance\ covered\ by\ horse=Distance\ covered\ by\ car+800\\\\\frac{10000}{3}=4x+800\\\\4x=\frac{10000}{3}-800\\\\4x=\frac{7600}{3}\\\\x=\frac{7600}{3\times 4}\ meter/minute\\\\x=\frac{7600}{3\times 4}\times \frac{60}{1000}\ km/h\\\\x=38\ km/h[/tex]

Final answer:

Jones' horse travels at 833.33 meters per minute, and in 4 minutes it covers 3333.32 meters. The car travels 2533.32 meters in the same time, giving it a speed of 633.33 meters per minute or 38 km/h.

Explanation:

To find out how fast the car was moving, we can begin by converting Jones' speed into meters per minute because the distance is given in meters and time in minutes. Jones moves at 50 km/h which is approximately 833.33 meters per minute (since 50,000 meters in 60 minutes).

Jones catches up to the car in 4 minutes, which means he covers the 800-meter gap plus however far the car travels in that same time. In 4 minutes, Jones travels 4 minutes * 833.33 meters/minute = 3333.32 meters. Therefore, the car must have traveled 3333.32 meters - 800 meters = 2533.32 meters in 4 minutes.

We can then calculate the car's speed by dividing the distance it traveled by the time it took: 2533.32 meters / 4 minutes, which gives us 633.33 meters per minute. To convert this back into kilometers per hour, we multiply by 60 minutes and divide by 1000 meters to get the speed of the car in km/h. This results in 38 km/h as the car's speed.

Simplify 24-4.57+(-4.62

Answers

Final answer:

To simplify the expression 24 - 4.57 + (-4.62), add the negative numbers together and then subtract the sum from the positive number, resulting in a simplified answer of 14.81.

Explanation:

The question involves simplifying an expression, which is a basic arithmetic operation in mathematics. We are given the expression 24 - 4.57 + (-4.62). To simplify, we need to combine like terms and perform the addition and subtraction.

First, let's combine the positive and negative numbers separately:

Positive number: 24

Negative numbers: -4.57 and -4.62

We add the negative numbers together: -4.57 + (-4.62) = -9.19

Now, we subtract this sum from the positive number:

24 - 9.19 = 14.81

Therefore, the simplified result of the expression 24 - 4.57 + (-4.62) is 14.81.

Any suggestions or answers

Answers

Answer:

a. Triangular prism

b. (Perimeter of base×height) +2(base area)

c. Total surface area

[tex] = 11(3 + 4 + 5) + 2( \frac{1}{2} )(3)(4) \\ = 11(12) + 3(4) \\ = 132 + 12 \\ = 144 \:{cm}^{2} [/tex]

The reason why we multiply the perimeter of the base by the height is because we are trying to find the area of each of the rectangular sides of the prism. (length×breadth)

Which nation has a command economy?
O Cuba
O Norway
South Korea
o the United States

Answers

Answer:

Cuba

Step-by-step explanation:

The answer to your question is Cuba .

3/8s of the students in Ms Mull’s class ride the bus. If there are 24 students in the class how many students ride the bus?

Answers

Answer:

9 students ride the bus.

Step-by-step explanation:

First you take the amount of students which is 24 and divide the denominator which is 8. then you would get 3, meaning 1/8 = 3 students. Now you would multiply the 3 students making one 8 by three ( because there are 3/8 students taking the bus, and you would get 9 students.

Final answer:

To find how many students ride the bus in Ms Mull's class, multiply the fraction of bus riders (3/8) by the total number of students (24), resulting in 9 students who ride the bus.

Explanation:

The question asks to determine how many students in Ms Mull’s class ride the bus, given that 3/8 of the students use the bus and there are 24 students in total. To find the number of students who ride the bus, multiply the total number of students by the fraction that represents the bus riders.

Identify the total number of students: 24.

Calculate 3/8 of 24:
(3/8) × 24.

Multiply: 3 × 3 = 9 (since 24/8 = 3).

Conclude that 9 students in Ms Mull’s class ride the bus.

Given the figure below find the values of x and z.

Answers

Where’s the figure?
We need the figure to understand

Celinda and Elsa deliver a 24-minute presentation. They each present for the same amount of time. For how mar
does each student present?
6 minutes
8 minutes
12 minutes
14 minutes

Answers

Answer: 12 minutes

Step-by-step explanation: Since there are 2 people and 24 minutes total, you have to divide the total time by the amount of people. The equation will be 24=2x, so divide 24 by 2 and you get 12

what is the solution to y=6x+25 y=12x-9

Answers

Answer:

x=17/3, y=59. (17/3, 59).

Step-by-step explanation:

y=6x+25

y=12x-9

--------------

6x+25=12x-9

12x-6x-9=25

6x-9=25

6x=25+9

6x=34

x=34/6=17/3

y=12(17/3)-9=4*17-9=68-9=59

Find the reciprocal of -1 1/12

Answers

1 12/1 is the answer

Answer:

-12/13

Step-by-step explanation:

Trina and Jessie went on vacation to Hawaii. Trina went scuba diving and reached an elevation of -85.6 meters. Jessie went hand gliding and reached an altitude of 87.9 meters. Write and solve an equation to find the distance between Trina and Jessie.

Answers

Answer:173.5

Step-by-step explanation:87.9+85.6 =173.5

you have to use absolute value to turn them both positive

Hope this helps

I WILL GIVE BRAINLIEST

Answers

-3(k+2) all u do is calculate the sum and factor out -3 from the expression
-3k - (-8)+2= -3k +10

What is 78 1/3 as a fraction

Answers

Answer:235/3

Step-by-step explanation:

Two hundred and thirty five over three as an imperfections fraction

Answer:

235/3

Step-by-step explanation:

78 * 3 from denominator which equals 234 + 1 from the numerator.

simplify 2/3(3x+6)-3

Answers

Answer:

Baked Potato

Step-by-step-explanation:

      Go ahead to the nearest grocery or supermarket, and buy a plain potato, go back home and take the plastic off of it, put it in the microwave on it's side for around 6 or 7 minutes, depending how burnt you like it, 6 is normal, 7 is a little bit burnt. Take it out with an oven mitt, as it will be very hot, and flip it over on the other side and put it in the microwave on the side for that many minutes as you did before. After the timer, take it out with something on your hands to protect them, then slit the middle with a knife, and add some butter and mash it around, and enjoy!

The following formula is used to calculate the monthly payment on a personal loan. P = P V times StartFraction i over 1 minus (1 + i) superscript negative n EndFraction In this formula, n represents the _____ . a. number of periods over which interest is calculated on the loan b. number of applicants for the loan c. number of years it will take to pay the loan back d. number of dollars the loan is for

Answers

Answer:

a. number of periods over which interest is calculated on the loan

Step-by-step explanation:

The equation is:

          [tex]P = PV\times \frac{i}{1-(1 + i)^{-n}}[/tex]

Where,

PV is the present value or the amount of the loan.

i is the interest rate per period and is calculated dividing the yearly percent rate by 100 and by the number of periods in a year.

n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.

For example, to calculate the montly payment of a $30,000 loan to be paid in 10 years, at 8% compounded monthly, you use>

PV = 30,000

i = (8 /100) / (12) = 0.08/12 ≈ 0.006667

n = 10 years × 12 months/year = 120 months = 120 periods.

Hence, n represents number of periods over which interest is calculated on the loan.

Answer:

to sum it up its A

Step-by-step explanation:

It cost $6 to join an online DVD club and $2.50 to rent a DVD. Write an equation for the relationship that gives the total cost y in dollars for renting x DVD. Then complete the table.

DVD rented 3, 4, 5.

Answers

Answer:

store A

Step-by-step explanation:

number 24 please help

Answers

Answer:

is 24 a b c and d?

Step-by-step explanation:

Which expression has a positive quotient? Negative three-fourths divided by Negative two-thirds Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth Negative 6 divided by Five-thirds

Answers

Answer:

The correct answer is 1 and 1/2  

Trust Me

Answer:

The correct option is A

Step-by-step explanation:

quiz

What numbers describes the values of the square root of 215

Answers

Answer:

The value in decemal form would be 14.66287829 or 14.66287

Step-by-step explanation:

√ 215

Suppose point P(4, -9) is translated according to the rule (x,y)→(x+3,y-2). What are the coordinates of P'? Explain.

Answers

The coordinates of P' is [tex](7,-11)[/tex]

Explanation:

The coordinates of Point P is [tex](4,-9)[/tex]

It is given that the point P is translated according to the rule,

[tex]$(x, y) \implies(x+3, y-2)$[/tex]

Now, substituting, the values for x and y, we get,

[tex](4,-9)\implies(4+3,-9-2)[/tex]

Adding the values, we get,

[tex](7,-11)[/tex]

Thus, the coordinates of P' is [tex](7,-11)[/tex]

If 5(3-2y)+4y=8 what is y

Answers

Answer:

7/6 (= 1 1/6)

Step-by-step explanation:

5(3-2y)+4y=8   (by PEDMAS, expand distribute parenthesis first)

3(5) -2y(5) + 4y = 8

15 - 10y + 4y = 8

15 - 6y = 8   (subtract 15 from both sides)

-6y = 8 - 15

-6y = -7  (divide both sides by -6)

y = -7 / -6 = 7/6 = 1 1/6

Answer:

y = 10.5

Step-by-step explanation:

5 x (3 - 2y) + 4y = 8

5 x (3 + -2y) + 4y = 8

15 + -10y + 4y = 8

15 + -6y = 8

(15/6) (-6y/+6)

 2.5        Y

-Y + 2.5 = 8

10.5 - 2.5 = 8

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