|a|-3/4=-5/8 Solve and show your work?

Answers

Answer 1

Answer:

{-1/8, 1/8}

Step-by-step explanation:

Solve |a|-3/4=-5/8 for |a|:  Add 3/4 to both sides of this equation, obtaining:

|a| - 6/8 + 6/8 = -5/8 + 6/8, or |a| = 1/8.  This absolute value function has two components:

a = 1/8 and a = -1/8.


Answer 2

Sure, I'd be happy to walk you through the solution.

1. The first step is to rewrite the absolute value term in the equation to make it a little easier to work with. We can write |a| as 4|a|/4 to help solve the equation in fractional terms. This makes our equation 4|a| - 3/4 = -5/8.

2. Now, multiply every term by 4 to get rid of the fractions. This result in 4*4|a| - 4*3/4 = 4*-5/8, which simplifies to 4|a| - 3 = -5/2.

3. In order to solve for |a|, we'll need to isolate it on one side of the equation. To do this, add 3 to both sides, which gives 4|a| = -5/2 + 3.

4. Simplify the right side of the equation to get 4|a| = 1/2.

5. From here, divide each side by 4 in order to solve for |a|. This gives us |a| = (1/2) / 4.

6. Simplify |a| to get |a| = 1/8.

7. Now that we found |a| = 1/8, we know that a can be positive or negative because it's the absolute value of a number. Therefore, the solutions to the original equation |a| - 3/4 = -5/8 are a = 1/8 and a = -1/8.


Related Questions

a person travels 8 miles due north, 3 miles due west, 7 miles due north and 11 miles due east. how far so the person from the starting point?

Answers

Answer:

The correct answer would be 7. Explaination below

Step-by-step explanation:

8 + 7 = 15

15 + 3 = 18

18 - 11 = 7


Final answer:

The person is 17 miles from the starting point.

Explanation:

To find the distance from the starting point, we can use the Pythagorean theorem. The person traveled 8 miles north and 7 miles north, which gives us a total north component of 8 + 7 = 15 miles. The person also traveled 3 miles west and 11 miles east, which gives us a total east component of 11 - 3 = 8 miles. Using the Pythagorean theorem, the distance from the starting point is √(15^2 + 8^2) = √(225 + 64) = √289 = 17 miles.

Learn more about Distance calculation here:

https://brainly.com/question/34212393

#SPJ2

Sam's track coach stands at the center of a circular track timing Sam's run. Which graph shows Sam's relative distance from the coach compared to time?

Answers

It shows the distance between him and the coach getting the “motion” of his running time. It’s like the circle with the line in the middle...

what is 735 divided 5

Answers

[tex]\frac{735}{5} = 147[/tex]

The answer to 735 divided by 5 is 147

sea level is defined as an altitude of 0 ft. A scuba diver dives into the water and, in 3 min, her altitude drops from 0 ft to −126 ft.

What was the diver’s average change in altitude, per minute, for that time period?


A. −348 ft

B. −42 ft

C. 42 ft

D. 348 ft

Answers

B) -42 ft

why?

-126/3 = -42

Hope this helped!

Riding with the wind at her back, a cyclist takes an hour less time to cover 80 miles than without any wind. Riding with the wind increases the cyclist's speed by 2 miles per hour. What is her speed when riding with the wind?

Answers

Answer:

41 MPH

Step-by-step explanation:

Let's assume the original speed with or without, is around 82 miles, within 2 hours.

So in this case, it'd be half the miles, half the hours!

how do you solve this -6 ÷[-3/4]=?

Answers

The rule to use: when dividing fractions, invert and multiply.

-6 ÷ -(3/4) equals -6 * -(4/3) which equals 24 / 3 which equals

8


-6 * -4/3

-2 * -4= 8
the answer to the question

Please help As soon as possible!

One of the fastest recorded speeds of an alligator on land is 8.8 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]

A 2.444 km/h
B 6.336 km/h
C 31.68 km/h
D 0.244 km/h

Answers

Answer: Option C 31.68 km/h

Solution:

Speed=s=8.8 m/s

s=? kilometers per hour=? km/h

s=(8.8 m/ 1 s)*(1 km / 1,000 m)*(3,600 s / 1 h)

s=(8.8*1*3,600)/(1*1,000*1) km/h

s= 31,680/1,000 km/h

s=31.68 km/h

Answer:

C.=31.68 km/h

Step-by-step explanation:

Hello

I think  I can help you with this

Let

[tex]v=8.8 \frac{m}{s} \\v=x \frac{Km}{h}[/tex]

1 hour = 60 minutes = 3,600 seconds

Step 1

convert m ⇒  kilometers

using a rule of three

1 kilometer= 1,000 meters

x? kilometers=8.8 m

[tex]\frac{1 kilometer}{1000 m} =\frac{x\ kilometer}{8.8 m}[/tex]

isolating x

[tex]\\\frac{1 kilometer\ 8.8\ m}{1000 m} =x\ kilometer\\x=0.0088 Km[/tex]

Now the speed is

[tex]v=0.0088 \frac{Km}{s}[/tex]

Step 2

Convert sec ⇒ hours

1 hour =3600 sec

x hour=1 seg

[tex]\frac{1 hour}{3600\ sec} =\frac{x\ hour}{1 sec}\\\frac{1 hour\ 1\ sec}{3600\ sec} =x\ hour\\x=\frac{1}{3600} hours[/tex]

Step 3

find the speed in km/h

[tex](1)v=0.0088 \frac{km}{1s}\\(2)1s=\frac{1}{3600} hous\\[/tex]

replacing (2) in (1)

[tex]v=0.0088 \frac{km}{\frac{1}{3600} hour}\\v=0.0088*\frac{3600\ km }{hour} \\v=31.68 \frac{km}{h}[/tex]

V=31.68 km/h

Have a great day

What property is x+(3x+20)=180

Answers

The answer is the distributive property

The perimeter of a triangle is 40 inches +2nd side exceeds twice the first side by 1 inch the third side is 2 inches less than the second side find the length of each side of the triangle

Answers

S2=2*S1+1

S3=3*S1-1

P=S1+S2+S3

42=S1+2*S1+1+3*S1-1

42=6*S1


S1=42/6

S1=7 ANS. FOR S1.

S2=2*7+1=14+1=15 ANS FOR S2.

S3=3*7-1=21-1=20 ANS. FOR S3.

PROOF:

42=7+15+20

42=42

Answer:

Step-by-step explanation:

The perimeter is the addition of all sides

x+y+z=40

where x=1st side, y=2nd side, z= 3rd side

2nd side exceeds twice the first side by 1 inch= y=2x+1

the third side is 2 inches less than the second side z=y-2=2x+1-2=2x-1

plugging in the perimeter equation

x+(2x+1)+(2x-1)=40

5x=40

x=8 inches (1st side)

y=2*8+1=17 inches (2nd side)

z=2*8-1=15 inches (3rd side)

Kirsten will do yard work with Ryan during July. Kirsten mows the lawn every third day and Ryan waters the lawn every fourth day. They both trim the hedges every Saturday. Both begin their work on Monday July 1. After the first day,will Kirsten and Ryan work on the same day again? Explain. Will Kirsten and Ryan have to do two jobs on one day? Explain how you know.

Answers

Answer:

Let Kirsten and Ryan start their work on 1 st of July.

Kirsten working days are 1,4,7,10,13,16,19,22,25,28,31,...

Ryan working days are 1,5,9,13,17,21,25,........

Now suppose 1 st of July is Monday,so coming Saturday will be on 6,13,19,25,31,....

Yes, Kirsten and Ryan will work on same day again i.e on 13, 25 in the month of July.

Yes ,they have to do the two jobs on one day also i.e on day which Saturday falls i.e on 13, and 25 of july.





Which is the solution set of the compound inequality 3.5x-10>-3and 8x-9<39

Answers

So to solve for an inequality, you must isolate the variable, in this case x, to one side.

Starting with 3.5x - 10 > -3, firstly add both sides by 10:

3.5x > 7

Next, divide both sides by 3.5 and your first half is:

x > 2

Next with 8x - 9 < 39, firstly add both sides by 9:

8x < 48

Next, divide both sides by 8 and your second half is:

x < 6

Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.

PLEASE SOMRONR HELP ME WITH THIS ONE I REALLY WANNS LEARN SO BAD BUT I'm confused

Answers

Answer:

$960

Step-by-step explanation:

If you're talking about #3. What you do is divide 1/5 so get .2 which is 20% then you multiply .2*1200 which is 240. That is what gets take off with the discount so subtract that from 1200 and get $960.

Share 35$ in the ratio 4:1

Answers

35/5= 7

so,

4*7 = 28                          1*7= 7


The answer is  28:7

Final answer:

To share $35 in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.

Explanation:

To share $35 in the ratio 4:1, we first need to find the total number of parts in the ratio by adding the two numbers together: 4 + 1 = 5. Next, we divide the total amount of money ($35) by the total number of parts (5) to find the value of each part: $35 / 5 = $7. Now, we can multiply the value of each part by the corresponding ratio values to find the amount of money each person will receive:

Person 1 (4 parts): 4 * $7 = $28Person 2 (1 part): 1 * $7 = $7

Therefore, in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.

what is the missing length of the rectangle

Answers

Hi! it is 4. because the area is length times width. so you do 4 times 2 which is 8!

u = 4

Since its looking for the area you would do length times width. What times 2 would equal to 8? 4.

4 * 2 = 8 which concludes its area



the cost of a phone is reduced by 20%. the new cost is $70.40 . what was the original price?
1. $88.00
2.$84.00
3.$58.40
4.$56.00

Answers

2, $84
$70.40×.2=$14.08
$70.40+$14.08=$84.48, so it would be $84
$84.00 is your answer

a hyperbolic cooling tower is 100 meters wide at the base. the most narrow section of the tower is 100 m above the ground and 40 m wide. how wide is the cooling tower at its highest point, which is 160 m above the ground?

Answers

Answer:

The cooling tower is 68 meters wide at its highest point, which is 160 m above the ground.

Please, see the attached files.

Thanks.

Final answer:

Using linear interpolation, we calculated the width of the hyperbolic cooling tower 160 meters above the ground to be 4 meters.

Explanation:

The problem presented is related to linear interpolation, which is a method used to find a value between two points on a line. In this problem, we have a hyperbolic cooling tower, which is smaller at its most narrow section than at its base. At the base it is 100 meters wide while 100 meters above the ground it is 40 meters wide. Assuming linear change in the width with respect to height, we can compute the width at the highest point of the tower, which is 160 meters from the ground. The decrease in width per meter as the tower height increases is (100 - 40) / 100 = 0.6 meters/meter.

To determine the width of the tower 160 meters above the ground, we calculate 100 (width at base) - (0.6 * 160) = 100 - 96 = 4 meters. Thus, the tower would be 4 meters wide at the height of 160 meters above ground.

Learn more about Linear Interpolation here:

https://brainly.com/question/30766137

#SPJ11

10 Points Please Help


Solve for x. -x + 4 = 32

A) x = -36

B) x = -28

C) x = 28

D) x = 36

Answers

x=-28 because the minus sign in front of the x will turn the -28 into positive 28 and 28+4 is 32

Your answer would be B.) x = -28

What is the result of converting 35 ounces into pounds? Remember that 1 pound = 16 ounces.

A) 2.19 pounds

B) 2.30 pounds

C) 560 pounds

D) 0.46 pounds

Answers

The answer should be A

For this question, you can solve by using the Cross Multiplication method.

(Pounds = lb, Ounces = oz)

35oz/Xlb = 16oz/1lb

Solve for x. First cross multiply 35oz by 1lb to get 35oz/lb. Then divide by 16oz to cancel out oz and end up with 2.1875lb. Which rounds up to 2.19lb.

35oz * 1lb ÷ 16oz = 2.19lb

The Answer is A.) 2.19 pounds

Hoped This Helped!



What is the measure of angle 1

Answers

It would be 56 degrees since it's a vertical angle and to get the obtuse angles you just subtract 180 from 56 and there's your answer. Hope this helped! (':

i think the answer if 56 degrees

Simplify:
-6i square root of -44

Answers

Here is the solution...

[tex]6i\sqrt{-44}[/tex]

Step 1:

We need rewrite the square root -44 as [tex]i\sqrt{44}[/tex].

The reason is [tex]\sqrt{-1} = i[/tex]

Step 2:

Now the expression became [tex]-6i.i\sqrt{44}[/tex]

[tex]-6i^{2}\sqrt{4*11}[/tex]

Step 3:

[tex]i^{2} = -1 and\sqrt{4*11} = 2\sqrt{11} \\[/tex]

Now substitute the above values in the step 2, we get

[tex]-6(-1)2\sqrt{11}[/tex]

Step 4:

We have to simplify it.

12[tex]\sqrt{11}[/tex]


Therefore, the answer is 1[tex]12\sqrt{11}[/tex]

HELP!!!!!!!!!!!!!!!!

Answers

Divide both from top to bottom:

5/16 = 0.3125

10/11 = 0.9090..

-19/10000 = -0.0019

hope that helps :)


[tex]<b>HEY THERE!!![/tex]

DECIMALS:-

a. 5/ 16 = 0.3125

b. 10/11 = 0.9090

c. -19/ 10000 = -0. 0019

HOPE IT HELPS YOU.

What is 12.2x+50.6y+3(1.4x-2.6y) simplified?

Answers

16.4x + 42.8y


Hope this helps & good luck. :)

The answer would be 16.4x + 42.8y

60x5= i need this answer

Answers

answer:  [tex]300[/tex]

work:

[tex]60[/tex]

[tex]5[/tex]

_________

[tex]300[/tex]


hope this helps! ❤ from peachimin

Answer:300

Step-by-step explanation:5 times 0 is 0 6 times 5 is 30 then you get 300

A squirrel ran 9 miles in 1 hour. Which expression can be used to determine it's miles per hour? plz help due Tuesday. need a fast correct but short answer! plz.

Answers

9miles/hour    no expressions to chooses from

9 miles/hour. This shows that a squirrel's pace is 9 miles per hour. There is no expression to determine it. It is already in miles per hour form as stated in the question.

How do you write 14/20 as a percentage

Answers

Multiply 14/20 by 5 to make the denominator 100.  14/20 x 5 = 70/100. So, 14/20 as a percentage is 70%.

Ok so 14÷20= .7
.7 move the decimal twice two the right so it's would be 70% and that is how u write it as a percentage

A gym hold a 60 minute time exercise class on Saturday a several 45 minute classes during. The week last week all of the classes lasted a total of 285 minutes. Write an equation you can use to find the number of the weekday classes

Answers

285=45x+60 because 285 stands alone and its you total. 45x is the its there with the variable x because the it says several

The base of a pyramid has n sides. Write and expression for the number of faces of the pyramid

Answers

Remark

The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.

Givens

Number of edges (or sides on the base)= e

Number of faces = f

Formula

F = e + 1 Don't forget that the base is also a face.

The water level at Lake Penny changed −1 1/10 in. this year. Next year, it is predicted to change another −1 2/5 in. What is the total change that will likely occur in 2 years?

Answers

Answer:

Total change that will likely occur in 2 years = -2.5 in.

Explanation:

 The water level at Lake Penny changed [tex]-1 \frac{1}{10}[/tex] in first year and [tex]-1 \frac{2}{5}[/tex] in in the second year. We need to find total change in the two years.

 We know that [tex]a\frac{b}{c}[/tex] can be written as [tex]\frac{ac+b}{c}[/tex]

So [tex]-1 \frac{1}{10}=-(\frac{1*10+1)}{10} )=\frac{-11}{10}[/tex]

    [tex]-1 \frac{2}{5}=-(\frac{1*5+2}{5})= \frac{-7}{5}[/tex]

 So total change in two years =  [tex]\frac{-11}{10}+\frac{-7}{5} =\frac{-11-2*7}{10} =\frac{-25}{10} =-2.5inch[/tex]

 Total change that will likely occur in 2 years = -2.5 in.

Answer:

its 2 1/2

Step-by-step explanation:

Three consecutive odd numbers have a sum of -75 what are the numbers

Answers

-75 divided by 3 equals -25

When you add 2 to -25 and subtract 2 from -25 they cancel out to be -25

so the answer is -23, -25, -27

a group of fitness club member lose a combined of 28 kilograms in 1 week .there are approximately 2.2 pounds in 11 kilogram . assuming the weight loss happened at a constant rate about how many pounds did the group lose each day

Answers

The answer: 0.8 pounds each day


Other Questions
Read this sentence carefully.The autocratic leader handed out orders left and right What kind of context clue would you use to understand the meaning of autocratic?A. clues from another sentenceB. a clue provided by contrast with a single wordC. a clue offered by an exampleD. clues from your experience or general information if 2 objects have the same momentum which statement is true A.mass and velocity are the same for both B.they both have the same mass C.the product of mass x velocity is the same for both D.they both have the same velocity Descending into Earths interior, temperature, as well as pressure on rock, _____.1 remains fairly constant 2 increases 3 varies seasonally 4 decreases if axb=0, then a=0 or b=03x=0 ____________ first introduced sheep to the territories of New Mexico, Arizona, and Texas in the mid-1500s.a.Cabotb.Columbusc.Coronadod.Cortes When matter from plants and animals decay, microorganisms responsible for the decomposition process respire. Is that photosynthesis or cellular respiration? Look at the image, read, and select the correct sentence that matches the image. The air conditioner at your house stopped working, and the technician has not been able to repair it for two days. Everyone has been drinking plenty of water. What can your mom ask you? Person in front of a fan Tienes suerte? Tienes fro? Tienes hambre? Tienes calor? Microorganisms that contaminate food are collectively referred to as1) biological agents2) physical objects3) chemical contaminants4) viruses Complete the sentence with the correct form of the adjective. Teresa es __________. options: 1) perezoso 2) perezosos 3) perezosa 4) perezosas What is the most important concern when trying to prevent frostbite?A. Drinking enough fluids B.wearing cotton next to your skin C. Dressing to protect handsD.wearing sunscreen What was one purpose for the creation of the Workingmen's Party? to protect factory owners from labor unions to limit the work day to twelve hours to protect the rights of skilled workers to get workers to strike for higher wages If expansionary taxation policies encourage growth, are they always appropriate to implement? No, government services could create inflation, which decreases the purchasing power of consumers. Yes, the private sector can easily and affordably replace all services and facilities cut by the government. No, the government is capable of providing many but not all services individuals and businesses need. Yes, the government will still ensure that individuals and businesses continue to receive all necessary services. how do write 3 to 4 2 other ways? to improve the acoustics in an auditorium, a sound reflector with a mass of 170kg is suspended by a chain from the ceiling. what is the tension in the chain? assume that the mass of the chain itself is 8.0kg. Please help answer ASAP How does masculine and feminine qualities coexist in the igbo belief system Political parties influence public policy by creating A. task forces.B. platforms.C. panels of experts.D. interest groups. The equation of a line is x + 3y = 14.What is the y-intercept of the line?1414/314314 Hello! This is not homework related btwIn the show PLL (Im on S5) when they find out Ali is alive why dont they revisit the case when Ian confessed to her murder? Reply or dont Which statement best explains the authors perspective about living in Hormuz? The author is confused by the hot climate and how the people handle it. The author is impressed by the hot climate and the people's response to it. The author wants to learn more about the worship of Mahomet in Hormuz. The author is surprised by the religious practice of the people of Hormuz.