How do i solve this equation: 4/5a + 3 = 1/3a - 8

Answers

Answer 1
You have to [tex]subtract [/tex] by [tex] \frac{1}{3}a [/tex] on [tex]EACH[/tex] of  the [tex]sides [/tex] you're [tex]working [/tex] with!

[tex] \frac{4}{5}a + 3 - \frac{1}{3}a - 8 - \frac{1}{3}a [/tex]

Which [tex]gives [/tex] us: [tex] \frac{7}{15}a + 3 = -8 [/tex]

[tex]Now, [/tex] that we got these [tex]steps[/tex] out of the way, let's [tex]subtract [/tex] [tex]3[/tex] from the sides you're working with! 

[tex] \frac{7}{15}a + 3 - 3 \\ = -8 -3 [/tex]

 [tex] \frac{7}{15}(a) = -11[/tex]

We have gotten these  [tex]steps [/tex] out of the way now lets [tex]multiply [/tex] by [tex] \frac{15}{7} [/tex] on your [tex]sides[/tex] because, it is the [tex]reciprocal [/tex] of [tex] \frac{7}{15} [/tex]

So,  [tex] \frac{15}{7}( \frac{7}{15}a ) = \frac{15}{7} (-11)[/tex]

Cancel out: [tex] \frac{15}{7}( \frac{7}{15} )[/tex] because, it equals to:[tex]1[/tex]

[tex] \frac{15}{7}(-11) = \frac{-165}{7} [/tex]

Therefore, your [tex]answer [/tex] is:  [tex] \frac{-165}{7} [/tex] [tex]aka[/tex] [tex] 23\frac{4}{7} [/tex] 

Good luck on your assignment and enjoy your day

~[tex]MeIsKaitlyn:)[/tex]



Related Questions

how to factorise x squared minus 16

Answers

Not sure if this is right but you could have:

x^2 - 4^2

If you simplify further:

it is also a difference of 2 squares giving you: (x + 4)(x - 4)

Therefore x = -4 or 4
The answer is "(x-4) • (x+4)"

Frankie purchases a 3 1/2 pound bag of chicken.he uses 1 1/3 of chicken for fajitas how many pounds of chicken are left?

Answers

3 1/2=7/2 1 1/3=4/3. 7/2=2×3=6=7×3=21.3×2=6=4×2=8

21-8=13=13/6 or 2 1/6
3.5-1.33
=2.16 
[13/6]

Just subtract what he used from what he had to calculate what he has.

Frank kicks a soccer ball off the ground and in the air, with an initial velocity of 30 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches? 14.1 feet 13.7 feet 13.2 feet 15.2 feet

Answers

The answer is A or 14.1!

9. Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00. She then uses her calculator to determine her new balance. Which of the following is the correct series of keys she should press? A. [ON/C] [68] [+] [75] [=] [5] [=] [62.50] [=] B. [68] [+] [75] [–] [62.50] [–] [5] [=] C. [ON/C] [68] [–] [5] [–] [62.50] [+] [75] [=] D. [68] [+] [75] [–] [5] [–] [62.50] [=]

Answers

it is C

 she turns the calculator on, then enters her starting balance them subtracts both checks she wrote then added the deposit.

The diameter of the moon is 2155 miles. Find volume of the moon. Round answers to the nearest whole number and leave pi in the answer

Answers

The volume of a sphere with respect to its diameter is:

V=(4π/3)(d^3/8)

V=(πd^3)/6, since d=2155mi

V≈1667978979π  mi^3

Answer:  [tex]1667978979\pi[/tex] cubic miles

Step-by-step explanation:

We know that the shape of moon is sphere.

The volume of sphere is given by :-

[tex]\text{V}=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of sphere.

Given : The diameter of moon = 2155 miles

Then the radius of moon=[tex]\dfrac{2155}{2}[/tex]

Then , the volume of moon is given by :-

[tex]\text{V}=\dfrac{4}{3}\pi (\dfrac{2155}{2})^3=1667978979.2\pi\approx1667978979\pi \text{ cubic miles}[/tex]

Jeremy finds a set of plans to build a model airplane. Most, but not all, of the lengths given in the plans are direct measurements. According to the plans, each horizontal stabilizer of the tail wing is made from a right triangle. The length of the leg of the triangle that touches the plane is AB = 8 inches, and cosA=817. To find the number of inches each horizontal stabilizer extends from the plane, find BC.

Answers

The answer is 15.

If given the cos A = 8/17
8 is the side containing angle A, 17 is the hypotenuse.  Using either Pythagoras or knowing Right Triangle triples you get 15

hope this helps

Restaurant sales totaled 38,676 for the week. Your customer count was 7,325. What did the average customer spend for the week

Answers

divide total by number of customers

38,676/7,325 = 5.28

 average was $5.28

write general rule for adding
a. two integers with the same sign.
b. two integers with different signs.
c. two integers that vary in sign.

Answers

a. Add regularly and give the sum the sign of both numbers
b. Subtract, and give the difference the sign of the number with the greatest absolute value.

Final answer:

When adding integers, if the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the smaller number from the larger number, using the sign of the larger number.

Explanation:

To offer some general rules for adding integers, consider the following scenarios:

When we add two integers with the same sign, we add the absolute values of the numbers and keep the common sign. For example, (-4) + (-3) equates to -7, as they are both negative. If we are combining two integers with different signs, we subtract the smaller number from the larger number and use the sign of the larger number. For instance, 7 + (-2) equals 5, because 7 is larger and positive. When adding two integers that vary in sign, it suggests that one number could be positive and the other negative or vice-versa. Thus, we follow the second rule mentioned above. For example, -6 + 3 gives -3 because 6 is bigger and negative.

Learn more about Adding Integers here:

https://brainly.com/question/27908445

#SPJ12

Which number line represents all of the values of x for the equation x2 = 16? A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4 and is labeled as p. A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 8 and is labeled as p. A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4, another dot is shown on negative 4, and are labeled as p and q, respectively. A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 8, another dot is shown on negative 8, and are labeled as p and q, respectively.

Answers

Quite simple when you take out the useless stuff you added in. Its 16

Answer: Its the 3rd choice.

Select each quadrilateral that has exactly four right angles.
trapezoid
isosceles
trapezoid
parallelogram
rhombus
rectangle

Answers

The answer is rectangle, you know this because everything else is either too large an angle or too small

Answer:

Square, and Rectangle

Step-by-step explanation:

the others don't have a 90 degree angle

John paid $50 for renting a cycle for 5 hours. Which graph shows the relationship between the cost of renting a cycle for different hours?

Answers

The graph should show that for every hour the price goes up by 50$

Answer:

for ever 1 hour the price goes up by ten

Step-by-step explanation:

you can buy 3 apples at quick market for $1.17, you can buy 5 of the same apples at Stop and Save for $2.40.

a.Which store is the better buy?

b. How much will you save per apple if you purchase it from the cheaper store?

Answers

The answer to this question is 3 apples

HELP I'M BEING TIMED FOR THIS TEST!!!

Which applies the power of a product rule to simplify (5t)^3?

A. (5t)^3 =5t^3
B. (5t)^3 = 3(5t) = 15t
C. (5t)^3 = 5^3 t^3 = 125t^3
D. (5t)^3 = 5^3t = 125t

Answers

The correct answer is C
You must apply the power to both 5 and t

Sergei says that 10%
of a number will always be less than 20%
of any other number.

Complete one inequality to support Sergei's claim and one to show that he is incorrect.

Answers

10% of 100 < 20% of 200.

10% of 1000 > 20% of 100.

What are the numbers that make the claims correct?

Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. Percentages are a measure of frequency. The sign used to represent percentages is %.

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ2

How many numbers between 1 and 100 are multiples of both 2 and 7

Answers

7. The formula is : [tex] 98-14=84 [/tex] and then [tex]\frac{84}{14} [/tex] and then [tex]6+1=7[/tex].

The reason behind it is 14 is the least common multiple of 7 and 2 and 98 is the largest 2 digit multiple of 14. Subtract 98 and 14 and then divide by 14 to get 6 and then add 1. You will get 7 which is our answer!

Final answer:

There are 7 numbers between 1 and 100 that are multiples of both 2 and 7.

Explanation:

To find the numbers between 1 and 100 that are multiples of both 2 and 7, we need to find the common multiples of these two numbers. The multiples of 2 are 2, 4, 6, 8, 10, and so on. The multiples of 7 are 7, 14, 21, 28, and so on.

We can see that the common multiples of 2 and 7 are 14, 28, 42, 56, 70, 84, and 98. There are a total of 7 numbers between 1 and 100 that are multiples of both 2 and 7.

Learn more about Multiples of 2 and 7 here:

https://brainly.com/question/34357814

#SPj3

Why is the polynomial, 4x^2y + 5xy classified as a 3rd degree binomial?

Answers

The polynomial has two terms. The exponent of the first term is two. The exponent of the second term would be 1 because 5xy^1 is equal to 5xy.

What is 74 divided by 3

Answers

The answer is 24.66 but if it says round it'll be 24.7

The value is 24 1/3

How to determine the value

First, we need to know that division is an arithmetic operation that is the result of a divisor and a dividend

We have other arithmetic operations, such as;

AdditionSubtractionMultiplicationDivisionBracketparentheses

From the information given, we have that;

74 divided by 3

This is represented as;

74/3

Divide the values

24 1/3

Learn about division at: https://brainly.com/question/25289437

#SPJ6

After a devastating winter, when thousands of fish died, an environmental scientist has replenished the trout stock in a fishing pond. He started with 5,000 baby trout and has finished a count to find that, in 4 years, the population is estimated to be 8,500. Assuming an exponential growth pattern, what is the annual growth rate (rounded to the nearest tenth of a percent) of the new trout population?

Answers

Final answer:

The annual growth rate of the new trout population is approximately 12.0%.

Explanation:

To find the annual growth rate of the trout population, we can use the exponential growth formula:

P = P0ert

where P is the final population, P0 is the initial population, r is the annual growth rate, and t is the number of years.

In this case, we have P = 8,500, P0 = 5,000, and t = 4. Plugging these values into the formula, we can solve for r:

8,500 = 5,000e4r

Divide both sides by 5,000:

1.7 = e4r

Take the natural logarithm of both sides:

ln(1.7) = 4r

Divide both sides by 4:

r ≈ ln(1.7)/4 ≈ 0.120

Final answer:

The annual growth rate of the trout population is calculated using the formula for exponential growth. By substituting the given values into the formula, the growth rate is determined to be approximately 13.41% per year. After rounding, the annual growth rate is 13.4%.

Explanation:

To calculate the annual growth rate of the trout population, we can use the formula for exponential growth, which is P = P0e(rt), where:

P is the final population size,

P0 is the initial population size,

r is the annual growth rate,

t is the time in years.

We know that P0 = 5,000 (initial population), P = 8,500 (final population), and t = 4 years. To find r, we rearrange the formula to solve for r:

r = (ln(P/P0)) / t

Plugging in the values gives us:

r = (ln(8500/5000)) / 4 = ln(1.7) / 4 ≈ 0.1341 or 13.41% per year

Rounding to the nearest tenth of a percent, the annual growth rate is 13.4%.

The equation shows the relationship between x and y: y = 6x + 1 What is the slope of the equation?

Answers

The slope of the equation is 6. Hope this helps you!

Which graph shows a plot of the complex number i − 2?

Answers

Given:

Complex number: i − 2?

 

i - 2 is \(-2 + i\) in standard form. So, the point is 2 left and 1 up from the origin and the graph that shows a plot of the complex number i – 2 is the second graph. Please see attached image for the graph.

 

To add, expressing a number in the form a + bi, whereas the real numbers are b an a, while i is the imaginary unit (which satisfies the equation i2 = −1) is called a complex number. a is called the real part of the complex number, and b is called the imaginary part In the given expression.

What scale factor(s) will produce an image that is larger than the original? I. 0.86 II. 116% III. 9 over 5

Answers

Any factor that is bigger than 1 will produce larger image.

So, 116% and 9/5 both work
Final answer:

Scale factors greater than 1 will produce an image larger than the original.

Explanation:

The scale factor that will produce an image larger than the original is any scale factor greater than 1.

I. 0.86: This scale factor is less than 1, so it will make the image smaller.II. 116%: This scale factor is greater than 1, so it will make the image larger.III. 9 over 5: This scale factor is greater than 1, so it will make the image larger.

Learn more about Scale factors here:

https://brainly.com/question/35553153

#SPJ2

name the property the equation illustrate -5+(8+10)=(-5+8)+10

Answers

associative property
Hey there!

Okay so what you need to know is the the property that this equation illustrates... simple!

The property that is illustrated here is known as the Associative Property of Addition.

I hope that helped!

Please vote me for Brainliest if there is a second answer! ^__^

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?

Answers

Since f(x) has a domain and range of all real numbers, it's inverse also has a domain and range of all real numbers.  Furthermore since every value pair of (x,y) for f(x) is unique, its inverse will also have the inverse unique value pairs (y,x).

Answer:

f(x) is a one to one function

Step-by-step explanation:

For which value or values are the expressions 15k + 9 and 3(2k + 3) + 9k equivalent? A) no values B) 3 C) 3,5 and 8 or D) all values

Answers

15k + 9 = 3(2k + 3) + 9k
15k + 9 = 6k + 9 + 9k
15k + 9 = 15k + 9
0 = 0
D) all Values

Final answer:

The expressions 15k + 9 and 3(2k + 3) + 9k are equivalent for all values of k because after simplifying the second expression, it matches the first expression exactly.

Explanation:

To determine for which value or values the expressions 15k + 9 and 3(2k + 3) + 9k are equivalent, we must first simplify the second expression.

Simplify 3(2k + 3) + 9k:
= 6k + 9 + 9k
= 15k + 9.

Now we compare the simplified forms of both expressions. It is clear that they are identical in form, meaning that they are equivalent for all values of k. No additional values are needed; the expressions are universally equivalent as they simplify to the same equation.

How many solutions are there for the system of equations shown on the graph?


No solution
One solution
Two solutions
Infinitely many solutions

Help best answer gets brainliest
!!!!!

Answers

ur lines are parallel...this means they never intersect...this means there is no solutions

Anna took Allie out for lunch their lunches cost $13.28 and $14.25 including tax and tip and a paid with $40 how much change did Anna receive

Answers

13.28 + 14.25 = 27.53
40.00 - 27.53 = 12.47
13.28+14.25= 27.53
40-27.53= 12.47
Anna received $12.47 back


Find the values of x and y that make k || j and
m || n.

Answers

Same side interior angles CONVERSE also called consecutive interior angle CONVERSE.
IF  (x - 30) + (x + 50) = 180 then, line line n || m.

x -  30 + x + 50 = 180
2x + 20 = 180
subtract 20 from both sides
2x = 160
divide both sides by 2
x = 80

IF (x - 30) + y = 180, then k || j.
(80 - 30) + y = 180
50 + y = 180
subtract 50 from both sides
y = 130


The values of x and y are 80 and 70 respectively which make k parallel to j and m parallel to n.

Geometrically, parallel means two or more lines, line segments, or rays that never intersect or cross each other, it doesn't matter how far they are extended. Parallel lines always maintain the same distance between them and remain equidistant at every point.

The sum of two adjacent angles is [tex]180^o[/tex],

therefore,

[tex](x-30)^o+(x+50)^o= 180^o[/tex]

2x +20 = 180

2x = 180 - 20

2x = 160

[tex]\frac{2x}{2} = \frac{160}{2}[/tex]

x = 80.

Again, as the sum of two adjacent angles is [tex]180^o[/tex],

[tex](x-30)^o+y^o= 180^o[/tex]

x + y = 180 + 30

Substitute value of x,

80 + y = 150

y = 150 - 80

y = 70.

Thus, x = 80 and y = 70 are the values for which k is parallel to j and m is parallel to n.

Learn more about parallel here:

https://brainly.com/question/16853486

#SPJ4

In a set of integers between 18 and 95, inclusive, how many are divisible by 6 but not 12?

Answers

18≤12n≤95  divide all term by 12

1.5≤n≤7.9

n=[2,7]

So multiples of 12 are 7-2+1=6

18≤6n≤95 divide all terms by 6

3≤n≤15.8

3≤n≤15

So multiples of 6 are 15-3+1=13

So there are 13-6=7 multiples of 6 that are not multiples of 12 in the set of integers [18,95]
18≤12n≤95  divide all term by 12

1.5≤n≤7.9

n=[2,7]

So multiples of 12 are 7-2+1=6

18≤6n≤95 divide all terms by 6

3≤n≤15.8

3≤n≤15

So multiples of 6 are 15-3+1=13

So there are 13-6=7 multiples of 6 that are not multiples of 12 in the set of integers [18,95]

NEED HELP FAST!
6.
(08.02 MC)
Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5 (1 point)

Answers

4x + 2 = x + 5
4x - x = 5 - 2
3x = 3
x = 1

y = 4x + 2
y = 4(1) + 2
y = 4 + 2
y = 6

solution is (1,6).....1st graph <==

You are a member of a darts team and they have won $1750 prize money in a competition. $70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members

Answers

$1750 - $70 = $1680
$1680 / 14 = $120

answer 

each team member receives $120

Other Questions
A number is no more than five. How would you graph this inequality? A. Draw an open circle on 5 and shade to the left.B. Draw a closed circle on 5 and shade to the left.C. Draw an open circle on 5 and shade to the right. D. Draw a closed circle on 5 and shade to the right. If the Greek root tithenai means to put or place, what does synthesis mean? A. to place under B.to put aside C.to pull apart D. to place together What protein is often used in comparing biochemistry between species? Why is this protein used? A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected? This is the next one. The formula can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity of an object that has fallen 23 feet. Round your answer to the nearest hundredth. Give example of different ways in which observation are used in scientific inquiry Which group of receivers would be most likely to engage in peripheral processing? Which is Not a feature associated with valley glaciers Julien's mother has cancer of the stomach, and there are several possible methods that she can try to manage the disease. What is the best way for Julien and his father to advocate for his mother's health during this time? Attend doctor appointments with the mother to help listen to treatment options, ask questions, and discuss any alternatives they can consider. Research treatment options and alternative medicines on the internet and discuss them with the mother when she gets home from the doctor. Talk to the local pharmacist about medication options and any ways to save money on the medications the mother will need. Meet with the trainer at the local gym to discuss exercises that the mother will be able to do while undergoing the treatments for her cancer. 2 __________ segmentation is done according to an objective measurable, physical, or other classification attribute of potential consumers. Suppose you are an astronaut and you have been stationed on a distant planet. you would like to find the acceleration due to the gravitational force on this planet so you devise an experiment. you throw a rock up in the air with an initial velocity of 11 m/s and use a stopwatch to record the time it takes to hit the ground. if it takes 7.0 s for the rock to return to the same location from which it was released, what is the acceleration due to gravity on the planet? The first thing alcohol impairs is your _________. Escribe una descripcin de un viaje que hiciste y lela a un(a) compaero(a). Usa por y para. Habla de: Why is it important to stir the solution in the flask as you add titrant from the buret? Where is the best place for a food handler to clean a garbage container? In the competition for resources, what were early Native American groups more likely to fight over? what polynomial could you add to 3x^4 - 9x^3 + 5x^2 - x + 7 to get a sum of 3+4x^4 + 3x-x^3 + 3x^2 what is a word to which letters or syllables are added to form new words Simplify square root of (1-cos)(1+cos)/cos^2 Steam Workshop Downloader