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

-8/9 - (2 1/3)
show all your work

Answers

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

Answers

Answer:

This Inequality has no solution making it false.

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

5,069=322

False

Hope this helps :)

Answer:

Step-by-step explanation:

May ALG 1A Unit 5 Modified Discussion

Answers

A pattern that increases or decreases at a constant rate is a linear function

Question 1 represents a linear functionQuestion 2 and 3 represent a nonlinear function

Question 1

From the table, we see that:

As x increases by 25, The value of y decreases by 1

The rate of increment/decrement is constant for both variables.

Hence, question 1 represents a linear function

Question 2

From the table, we see that:

As x increases by 2, The value of y increases at different rates

The rate of increment is not constant for variable y.

Hence, question 2 represents a nonlinear function

Question 2

From the table, we see that:

As the steps (i.e. x) increases by 1, The number of blocks (i.e. the value of y) increases at different rates

The rate of increment is not constant for variable y.

The complete table is:

[tex]\mathbf{Step\to Blocks}[/tex]

[tex]\mathbf{1 \to 2}[/tex]

[tex]\mathbf{2 \to 6}[/tex]

[tex]\mathbf{3 \to 12}[/tex]

[tex]\mathbf{4 \to 20}[/tex]

Hence, question 3 represents a nonlinear function

Read more about patterns and rates at:

https://brainly.com/question/22386004

14. Find m (9x + 2)
(15x -52)

Answers

Step-by-step explanation:

triangle BCD ~ triangle EFD so

angle BCD= angle EFD

9x+2=15x-52

6x=54

x=9

angle CBF =9x+2=83°

In the triangle ΔCBD, the angle measure of ∠CBF is 83°.

What are similar triangles?

When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.

Given:

The angle measures,

∠CBD = (9x + 2)°

∠EFD = (15x -52)°

From the diagram,

ΔCBD is similar to ΔEFD.

So, the corresponding angles are equal.

∠CBD = ∠EFD

(9x + 2)° = (15x -52)°

15x - 9x = 52 + 2

6x = 54

x = 9°

And ∠CBF = ∠CBD

So, ∠CBF = (9x + 2)°

Substituting the value of x,

∠CBF = (9(9) + 2)°

∠CBF = 83°

Therefore, the angle measure of ∠CBF is 83°.

To learn more about the similar triangles;

https://brainly.com/question/14926756

#SPJ2

Help me I really don’t understand this and I can’t fail please just please help I will mark brainliest

Answers

Answer:this question is confusing but it's probably the last one, must be the one passing through

x=1

y=-1

4.99 for 13lb find the unit rate

Answers

Answer:

$0.38 per lb.

Step-by-step explanation:

unit rate formula; cost / quantity

4.99 / 13 = 0.3838461538461

round to the nearest hundredth

someone please help me asap

Answers

Answer:

I only can see that one of them are B i don't know for the rest

Step-by-step explanation:

Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 ​ % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 ​ % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?

Answers

Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Continuous compounding:

[tex]A(t) = Pe^{rt}[/tex]

The parameters are:

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

For both of them:

Investment of $970, hence [tex]P = 970[/tex]

Invested for 8 years, hence [tex]t = 8[/tex]

Elizabeth:

Compounded daily, hence [tex]n = 365[/tex].

Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]

[tex]A(8) = 1648[/tex]

Matthew:

Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].

Then:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A(8) = 970e^{0.0675(8)}[/tex]

[tex]A(8) = 1665[/tex]

The difference is:

1665 - 1648 = 17

Hence, Matthew would have $17 more than Elizabeth in his account.

A similar problem is given at https://brainly.com/question/24507395

.15 x (-0.6)
help me please

Answers

I think it would just be −0.09 , becuase your just multiplying right? that should be the answer

The answer is −0.09

It should be simple multiplication.

I hope this helps!

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

answer is in the above picture

The Cougars, a football team, must gain 10 yards in the next four plays to keep possession of
the ball. The Cougars gain 5 yards, lose 12 yards, gain 14 yards, and finally lose 8 yards. Do
the Cougars keep possession of the ball?

Answers

Answer:

No

Step-by-step explanation:

Gain 5= 5 to go

Lose 12= 7 to go

Gain 14= 7 to go

Lose 8=15 to go

Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)

Answers

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Step 1: Slope

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

Step 2: Y - Intercept

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Step 3: Equation

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Can someone pls help me
Solve for x
Please show your work

Answers

Answer:

Hence, the value of x is 9°

Step-by-step explanation:

7x + 14 = 9x - 4. [(Corres. s]

⇛ 7x - 9x = -4 - 14

⇛-2x = -18

⇛x = -18÷-2

⇛x = 18/2

∴ x = 9

NOW,

7X + 14 = 7(9) + 14 = 63 + 14 = 77°.9X-4 = 9(9) - 4 = 81 - 4 = 78°.

Read more:

Similar Question

find the measure of angle 1, given that AB || CD...

https://brainly.com/question/3983123?referrer

emma makes 21 laps during a 5 minute song how many laps per minute did emma make how do I show my work?

Answers

Answer:

4.2 laps per minute

Step-by-step explanation:

21laps/5min = 4.2laps/1min

Line A is represented by the following equation: x + y = 2
What is most likely the equation for line B so the set of equations has no solution?

Answers

Answer:

[tex]ax+ay=k; a\ne0, k\ne2a[/tex]; line D in the options.

Step-by-step explanation:

The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!

The condition [tex]a\ne 0[/tex] makes sure you are still getting lines (else you would get rid of both x and y); the condition [tex]k\ne 2a[/tex] makes sure you're not picking line A again, just written in a different form.

Now that we have the options:

A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.

Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.

Line D is correct.

The degree of polynomial is ?

Answers

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.

A line includes the points (6,9) and (14, 17). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = x + 3

Step-by-step explanation:

Given: (6,9)  (14, 17)

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{17-9}{14-6}=\frac{8}{8}=1[/tex]

slope, m = 1

Equation of line ⇒ y=mx+b

y = 9 , x = 6 , m = 1, b = ?

9 = 1*6 + b

9 = 6 + b

b = 9 - 6 = 3

Therefore, the equation of line will be:

y = 1x + 3

y = x + 3

the choices for the first one is either x values or y-values ​

Answers

Answer:

x values

division

Step-by-step explanation:

Vertical lines are all "rise" and no "run"

therefor the difference in x values is always 0

division by 0 is undefined

Answer: y- values

Step-by-step explanation:

Ten times the sum of a number and 12 is 84.

Answers

Answer:

12×10 = 120

NOT 84

THE ANSWER IS 120

what is 6.30 divided by 18

Answers

The answer is 0.35, you could easily search it up on a calc and i just wanted to answer for points

Answer:

6.3/18 = 0.35

Step-by-step explanation:

0.35 is your answer

Please help me with this question
I can't figure it out and please answer all of it

Answers

Step-by-step explanation:

1. False

2. True

3. True

4. False

Answer:

a. false

b. true

c. true

d. false

Step-by-step explanation:

hope this is right

(if not tell me in the comments and i will try to help you best i can)

Twelve square tiles, each measuring 5 inches
on a side, are laid side by side. What is the total
width of the tiles?

Answers

Answer:

pretty sure 60, 5 x 12

Step-by-step explanation:

just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each

the rate of change is _____ inches of growth per week​

Answers

Answer:

4.5 inches per week

Step-by-step explanation:

Easy conversions

after working out for 45 minutes, Juanita heartbeat at 75 beats in 30 seconds what equation represent the relatship of b and m

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

find 3 1/6 + (-4 1/3).

Answers

Answer:

-1 1/6

Step-by-step explanation:

[tex]3\frac{1}{6} + (-4\frac{1}{3} )[/tex]

Convert the mixed numbers into improper fractions

[tex]\frac{19}{6} + (-\frac{13}{3} )[/tex]

Apply the rule: a + (-b) = a - b

[tex]\frac{19}{6} + (-\frac{13}{3} ) = \frac{19}{6} - \frac{13}{3}[/tex]

The Least Common Multiplier of 6 and 3 is 6

Adjust the fractions on the LCM

[tex]\frac{19}{6} - \frac{26}{3}[/tex]

Apply the Fraction Rule: [tex]\frac{a}{c} -\frac{b}{c} = \frac{a - b}{c}[/tex]

[tex]\frac{19 - 26}{6}[/tex]

Subtract the numbers

[tex]\frac{-7}{6}[/tex]

Apply the Fraction Rule: [tex]\frac{-a}{b} = - \frac{a}{b}[/tex]

[tex]-\frac{7}{6}[/tex]

Convert improper fraction into a mixed number

[tex]-1\frac{1}{6}[/tex]

Hope this Helps :)

Lee earns $17.00 per hour at her job. How much money will Lee earn if she works for 4 hours?

Answers

Lee would earn 68 dollars if she worked 4 hours
He would earn $68 if he worked fo 4 hours

write a linear function

Answers

Answer:

The equation of a linear function is expressed as: y = mx + b where m is the slope of the line or how steep it is, b represents the y-intercept or where the graph crosses the y-axis and x and y represent points on the graph.

Step-by-step explanation:

What dp they mean 2 to the fourth equal 16.

Answers

Answer:

See Below

Step-by-step explanation:

I think you mean 2 the the fourth power, showing 2, with an exponent of 4.

To calculate this, you multiply your base, 2, by itself as many times as the exponent states. Like, 2x2x2x2 because you are multiplying it 4 times by 2.

2x2=4, then 4x2=8, then 8x2= 16.

Hope this helps!

what is 29,032 to the nearest thousands​

Answers

Answer:

29,000

Step-by-step explanation:

Answer:

30,000 i believe

Step-by-step explanation:

if that isnt the right answer then its just 29,000

four more than the price ,p

Answers

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