5(6a +1) = 7(4x + 3) w/steps

Answers

Answer 1

Answer:

[tex]\frac{15a- 8}{14} = x[/tex]

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

[tex]5(6a + 1) = 7(4x + 3)\\[/tex]

[tex]\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3[/tex]

Step 2 - Subtract 3 from both sides to isolate the 4x:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x[/tex]

Step 3 - Expand equation:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x[/tex]

Step 4 - Translate -3 into a fraction and add it:

[tex]\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\[/tex]

[tex]\frac{30a - 16}{7} = 4x[/tex]

Step 5 - Divide both sides of the equation by 4:

[tex]\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}[/tex]

Multiply the two fractions together to simplify:

[tex]\frac{30a - 16}{4 * 7} = \frac{4x}{4}[/tex]

[tex]\frac{30a - 16}{28} = x[/tex]

Step 6 - Simplify by dividing the fraction by 2:

[tex]\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x[/tex]

[tex]\frac{15a- 8}{14} = x[/tex]

Hope this helps!


Related Questions

Help me with math!!!!

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Answer:

2nd option is correct

........................................

Find three consecutive whole numbers such that the sum of the squares of the numbers is equal to 434

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Answer:

[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]

Step-by-step explanation:

Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know

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it is a function
since there is one value of Y for every value in ask this relation is a function

which quadrilaterals always have diagonals that bisect opposite angles

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The answer to you question is it’s a rhombus. I hope this has helped you.

BRAINLIEST
I’ve posted this over 5 times please help me

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Answer:

I don't know just guess sorry

For a 100 ponits : 13+(-19)=

ANSWER:

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Answer:

-6

Step-by-step explanation:

2 iPhones cost $1,680, how much would 10 iPhones cost?

Answers

Answer:

$8,400

Step-by-step explanation:

one way to solve it would be that since you know 2 x 5 = 10 you can do $1,680 x 5 and that = $8,400

Tickets for a concert cost $8 online plus a $3
processing fee. Tickets for the same show at the
door cost $9 each. How many tickets can you buy so
that the online price and the door price are the
same?

Answers

Answer:

3 tickets

Step-by-step explanation:

8x+3 = 9x

x = 3

For which values of x does each expression make sense? √(-2x)^2

Answers

We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0

We know that the argument of a square root can only be a real number equal to or larger than zero.

In this case, we have the expression:

[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]

One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.

The first thing we need to do is to make the argument equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x ≤ 0

If you want to learn more about rational expressions, you can read:

https://brainly.com/question/18545256

Answer: No, the answer is All Real Numbers

Step-by-step explanation: e

In the average household, the tv is on for 6. 75 hours a day. How many hours will have passed after 77. 7 years?.

Answers

the answer is 524.47500

can u sub 2 my channel its Raging Sushi and can u like the only video there is

m = – 3; (2, 2) help pls

Answers

Answer:

try  maltpling 3 *2*2

Step-by-step explanation:

Find the values of x and y.

Answers

Answer:

Y = 69

X = 42

Hope this helps!


What is the approximate solution to this?

Answers

6x=In(6)
x= 1
- x In (6)
6

What is the perimeter of the L-shaped figure?
Please answer without using a link.

Answers

Answer:

3a+4+4+6+2a

5a+14

Step-by-step explanation:

hope i got it right

Step-by-step explanation:

we know,

perimeter = sum of all sides

so a/q perimeter of the given figure is

→ 3a + 4 + 4 + 6 + a + 4 + 2 + 2a

→ 6a + 20

therefore, perimeter of the given figure is 6a + 20.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

True or false.The perimeter is the boundary of a shape or an object.

Answers

True.
In geometry, the perimeter can be defined as the path or boundary that surrounds a shape.

Preston's vegetable patch is 7 yards wide and 17 yards long. Preston wants to build a fence around the vegetable patch. The fencing material costs $2.00 per yard. How much would it cost in total to build the fence

Answers

Answer: 238$

Step-by-step explanation: 7 x 17 = 119 mutiply this x 2.00 = 238

Solve for x I need help on this question

Answers

Answer:

[tex]x\approx7.8[/tex]

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(23^\circ)=\frac{x}{20}[/tex]

[tex]20sin(23^\circ)=x[/tex]

[tex]x=20sin(23^\circ)[/tex]

[tex]x\approx7.8[/tex]

Therefore, the length of the opposite side is about 7.8 units

Alecia runs the air conditioner im her home when it id hot outside. She uses the equation C = 0.01m to determine the cost , C , in dollars , to run the air conditioner for m minutes . According to the question what is the cost per minute of running alecia’s air conditioner?

Answers

The cost per minute is an illustration of proportionality constant.

The cost per minute is of running Alecia's air conditioner is $0.01

The cost function is given as:

[tex]\mathbf{C(m) = 0.01m}[/tex]

Where C represents the cost, and m represents the number of minutes

A proportional relationship is represented as:

[tex]\mathbf{y =kx}[/tex]

Where k represents the constant of proportion.

So, by comparison:

[tex]\mathbf{k = 0.01}[/tex]

In this case, the proportionality constant is the same as the cost per minute.

Hence, the cost per minute is $0.01

Read more about proportionality constant at:

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I need help this question is do today pls help me

Answers

Answer:

4.7 x [tex]10^{7}[/tex] miles

Step-by-step explanation:

You know Mars is further away from the sun

so the distance between earth and mars will be

1.4x[tex]10^{8}[/tex]-9.3x[tex]10^{7}[/tex]

14x[tex]10^{7}[/tex]-9.3x[tex]10^{7}[/tex]

4.7 x [tex]10^{7}[/tex] miles

Help please

What is 20000 x 0

Answers

Answer:

its 0

Step-by-step explanation:

How do I solve this?​

Answers

Answer:

x= -2

Step-by-step explanation:

y=x+4

y=2

2=x+4

-4+2=x

-2=x

x=-2

Answer:

x= -2

Step-by-step explanation:

A line that includes the point (-1,5) has a slope of 4. What is its equation in slope-intercept
form?

Answers

Answer:

y=4x+9

Step-by-step explanation:

The slope intercept form is [tex]y=mx+b[/tex]

So m=4 and we plug it into the equation [tex]y=4x+b[/tex]

Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]

So the equation becomes [tex]5=4+b[/tex]

We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b

Then we rewrite the whole equation as [tex]y=4x+9[/tex]

HELPP HURRYYYY !!
have to be turned in soon

Answers

Answer:

Last option: Angles 5 and 9

Step-by-step explanation:

Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.

Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.

Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.

Angles 5 and 9 are corresponding angles.

There are 14 apples in a basket. 9 of these apples are green. The rest of them are red.
What is the ratio of red apples to green apples?

Answers

Answer:

9:5 is the ratio of green to red

9:5 is the ratio of green to red

Miss Reyes earns $3500 per month from which income tax is deducted at 30%. Calculate her net pay.

Answers

Answer: 3395 dollars

Step-by-step explanation:

First, the question said that Miss Reyes earns 3500 dollars. But the tax is 30%. Than, the tax is 3500 times to 30%. If you calculate it, it will be 105 dollars. Now, we can subtract the 105 from 3500. It equals to 3395 dollars.

4952 rounded to the nearest ten​

Answers

Answer:

4950

Step-by-step explanation:

4952 has:

'4' in the thousands place

'9' in the hundreds place

'5' in the tens place

'2' in the ones place

Rounding to the nearest tens means to look at the value in the ones place and if it is 5 or greater the value in the tens place increases by one, otherwise it remains the same

PLEASE ANSWER THIS RIGHT ASAP

Answers

Answer:

x=9

Step-by-step explanation:

23=7/9(6x-36)+9

Distribute 7/9.

23=14/3x-28+9

Add.

23=14/3x-19

Add 19 to both sides of the equation.

42=14/3x

Divide 14/3 from both sides of the equation.

X=9

Hope this helps :)

23= 7/9(6x-36)+9
<=>23= 14/3x-83/3+9
<=>43= 14/3x
<=> x= 9
Ok done. Thank to me :>

Solve the equation 6 - 6x = 5x - 9x -2

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]

Answer:
x=4
Explanation:
6+2=5x-9x+6x
8=2x

This recipe makes 8 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?

Recipe: Makes 8
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 mL milk
1 egg
2 tablespoons (tbsps) oil

Answers

Answer:

If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)

135 x 3 = 405

1 x 3 = 3

2 x 3 = 6

130 x 3 = 390

1 x 3 = 3

2 x 3 = 6

So Sanjay would need the following to make 24 pancakes:

405g flour

3tsp baking powder

6tbsps sugar

390mL milk

3 eggs

6tbsps oil

Answer:

405 g flour

3 tsb baking soda

6 tbsps sugar

390 mL milk

3 eggs

6 tablespoons oil

A salesman sells a car for 960,000.If he receives a commission of 15%,how much will be his commission?​

Answers

Answer:

144 000

Step-by-step explanation:

960 000 × 0.15

= 144 000

Answer:

144,000

Step-by-step explanation:

[tex] \frac{15}{100} \times 960000 \\ 15 \times 9600 \\ 144000[/tex]

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