3a+ 6 = 15, 3a = 9, a+ 2= 5, 1/3a =1
are any of these equation equivalent to one another if so, which ones? Explain tou reason

Answers

Answer 1

Given parameters:

  Find if any of the equations are the equivalent;

           3a+ 6 = 15

            3a = 9

            a+ 2= 5

              [tex]\frac{1}{3a}[/tex] =1

To find which of the equations are equivalent to one another, let us solve them first. The ones with the same solution are definitely equivalent.

     (i)  3a+ 6 = 15

                3a  = 15 - 6

                 3a  = 9

                    a = 3

       (II)   3a = 9

                a = 3

    (III)     a+ 2= 5

                a = 5-2

                a = 3

   (IV)      [tex]\frac{1}{3a}[/tex] =1

             1 = 3a

             a  = [tex]\frac{1}{3}[/tex]

We clearly see that the first three equations are equivalent.


Related Questions

Solve for a:
35= -7a+14

Answers

-7a + 14 = 35
-7a + 14 - 14 = 35 - 14
-7a = 21
—- —-
-7 -7
a = -3

hope this helps!! :)

The price of gas rose from $2.40 per gallon in January to
$3.00 per gallon in April. What was the percent increase
based on the original price?
A. 20%
B. 25%
C. 60%
D. 80%

Answers

Answer:

Step-by-step explanation:

The answer is 25%

25% of 2.40= 0.6 3.00-0.6= 2.4 just ad a 0 so 2.40

Answer is 25%

To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets to bytes of information is given by b = 1,500p where p represents the number of packets and b represents the number of bytes of information. Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets and the number of bits. (X = form)

Answers

Answer: [tex]x= 187.5p[/tex]

Step-by-step explanation:

Given : An equation relating packets to bytes of information : [tex]b = 1,500p[/tex] where p represents the number of packets and b represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

[tex]8x=1500p[/tex]

Divide both sides by 8 , we get

[tex]x= 187.5p[/tex]

Hence, the equation represent the relationship between the number of packets and the number of bits : [tex]x= 187.5p[/tex]

Answer:

x=12000p

Step-by-step explanation:

It is Right

I Fink

Which of these values could be the slope of the line? Select 2 options.
-2
-8/5
0
7/4
3

Answers

Answer:

7/4 and 3

Step-by-step explanation:

correct on edge 2020

Answer: 7/4 & 3

Step-by-step explanation:

Ok help me?? Uhhhhhhhhhhhh

Answers

Answer:with?

Step-by-step explanation:

What are the 4 major types of special Angle Pairs formed by Parallel Lines and Transversals? 20 points Vertical Angles, Angle Bisectors, Linear Pairs, Perpendicular Bisectors Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior Straight, Acute, Obtuse, Right Adjacent Angles, Supplementary Angles, Complementary Angles, Opposite Angles

Answers

Answer:

Alternate Interior, Corresponding, Consecutive Interior, Alternate Exterior

Step-by-step explanation:

When a transversal cuts across two parallel lines, there are 4 major types of special angles that are formed as shown in the attachment below. They are:

1. Alternate interior angle pairs are angles that are positioned inside the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

In the figure attached below, the alternate exterior angle pairs are labelled:

<3 and <6;

<4 and 5

2. Corresponding angles: these are angle pairs that are lie in the same position of the transversal, one interior, and the other exterior to a parallel lines respectively.

In the figure attached below: the following are corresponding angles pairs:

<1 and <5;

<2 and 6;

<3 and <7;

<4 and <8

3. Consecutive Interior angle pairs: these are angles that lie in the same side of the transversal and also found opposite each other within the parallel lines.

They are labelled:

<3 and <5;

<4 and <6

4. Alternate exterior angle pairs are angles that are positioned outside of the two parallel lines but lie on opposite sides of the transversal that cuts across the two parallel lines.

They are labelled:

<1 and <8;

<2 and <7;

If $7,300 is invested in an account that offers 7% interest compounded semi-annually, how much money is in the account after 3 years?

Answers

Answer:

The answer to your question is $8973.56

Step-by-step explanation:

eh what is 2(h + 1) =5h - 7​

Answers

Answer:

h=3

Step-by-step explanation:

The 150 Grade 7 students participated in school's Math Olympics. 64 students registered in Math Trail , 78 students registered in Amazing Race and 28 students registered in both Math Trail and Amazing Race. How many students registered in Math Trail only and in Amazing Race only? Are there students who did not registered in both events, how many?​

Answers

Answer:

Number of students registered in Math trail only and in Amazing Race only is 86.

Number of students who did not registered in both events = 36

Step-by-step explanation:

There are 150 students totally.

64 students registered in Math trail.

78 registered in Amazing race.

28 registered in both Math trail and Amazing Race.

We can make Venn diagram for this and answer the question.

I've attached the Venn diagram.

Using the diagram,

Number of students registered in Math trial only and in Amazing race only is 36+50= 86.

Number of students who did not registered in both events = (150-(36+28+50))=36

Solve for s:
14=-2s-8

Answers

Answer: 11

Step-by-step explanation:

2 times 11 is 22. 22-8=14

Answer:

14= -2s - 8

22= -2s

-11=s

Step-by-step explanation:

Add 8 to both sides, on one sided the number will be undo but on the other it won't

Then divide both sides by -, wich leaves the unknown variable alone

Finally you have your answer!

How many 3/6 are there in 1 whole


Don’t give me glibberish answers or I will report u

Answers

Answer:2

Step-by-step explanation:because

x=1x6/3

X=2

Its not gibberish so gimme brainliest

Answer:

It would be 2.

Step-by-step explanation:

3/6 is half of a whole. Which means, there is a half missing. So multiply 3/6 by 2, to make it a whole.

find the gradient of the line segment between the points (0,3) and (1,8)

Answers

The gradient of the line segment between the points (0,3) and (1,8) is : 5

What is gradient?

Gradient is the ratio of the increase or decrease in the y-coordinates to the increase ore decrease in the x-coordinates of points that form a line segment.

Analysis:

x1 = 0, x2 = 1, y1 = 3, y2 = 8,

Gradient(M) = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                        = [tex]\frac{8 - 3}{1 - 0}[/tex] = 5/1 = 5

In conclusion, the gradient of the given points (0,3) and (1,8) is : 5

Learn more about gradients : brainly.com/question/21727173

#SPJ1

Answer:

Step-by-step explanation:

difference in x = 1

difference in y= 5

5 divided by 1 = 5

gradient= 5

On a coordinate plane, Broadway is 4 units to the right and 4 units up. Empire State Building is 1.50 units to the right and 1 unit up. Brooklyn Bridge is 5 units to the left and 4.5 units down. Statue of Liberty is 4 units to the left and 3.5 units up. Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0)

Answers

Answer:

upove is correct

Step-by-step explanation:

hehe

44% of ten is what number

Answers

the answer should be 4.4

Answer:

4.4

Step-by-step explanation:

You have to turn 44% into a decimal which will be 0.44

Then multiply 0.44 by 10

0.44*10

4.4

PLEASE HELP AND EXPLAIN!! I will mark brainliest <3

Answers

Answer: AB is 40

Step-by-step explanation: CD=CE+ED ED is 5 and it is also the midpoint meaning it is 1/2 of the value of the line. Therefore CD is 10, BC=BD+CD CD as we know is 10 and D is the mid point meaning it is also 1/2 of the value of BC. 10+10=20, AB=AC+BC, BC is 20 so AC must also be 20;therefore AB is 40

whats the answer to this?

Answers

Answer:

5

Step-by-step explanation:

Add the two coordinates and divide by 2.

-2 + 12 = 10

10/2 = 5

Answer: 5

These are statements about factors and prime and composite numbers. Which statements are true? Check all that apply. The numbers 4, 9, 25, and 49 are composite numbers. The number 1 is a prime number. The first prime number is 2. A composite number can be written as the product of prime numbers.

Answers

Answer:

The numbers 4, 9, 25, and 49 are composite numbers.

The number 1 is a prime number.

Step-by-step explanation:

A prime number can be defined as a number that is divisible by 1 and itself only. Examples are: 1, 3, 5, 7, 11 e.t.c

A composite number can be defined as a positive number that can be formed by multiplying two smaller positive numbers together. These two positive integers may or may not be prime number.

It is a positive integer that has at least one divisor other than 1 and itself.

Examples are: 4, 6, 8, 9, 12, 25, 49, e.t.c

Therefore, the true statements in the questions above =

The numbers 4, 9, 25, and 49 are composite numbers.

The number 1 is a prime number.

Answer: A,C,D!!! These are correct!!!

The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?

Amount in Juanita’s Savings Account
Number of Months Working at Part-Time Job
0
2
4
6
8
Amount in Savings Account (in dollars)
$36
$60
$84
$108
$132

a.$12 per month
b.$18 per month
c.$24 per month
d.$36 per month

Answers

Answer:

The answer is C., $24 per month.

Answer:

A $12

Step-by-step explanation:

she has saved $36 before she gets a part time job, after 2 months, her savings have increased from 36 to 60. 2 months = 60 - 36, 2 months = 24. now we divide 24 by 2, and the answer is 12. option A is correct.

Please help!! ASAP!! Math Help!k

Answers

[tex]f(x) = 4x^3 + Ax^2 + 2x - 5[/tex]

[tex]f(2) = 5[/tex]

[tex]5 = 4 \cdot 2^3 + A \cdot 2^2 + 2 \cdot 2 - 5\\5 = 4 \cdot 8 + 4A + 4 - 5\\5 = 32 + 4A + 4 - 5\\5 - 32 - 4 + 5 = 4A\\-26 = 4A\\A = \frac{-26}{4} = -\frac{13}{2} = -6.5[/tex]


Suppose a group of dancers performed the Round Dance at an Indigenous Peoples' Day
celebration. If the circumference of the circle was 44 feet, what was the diameter of the circle?

Answers

Answer:

4.27 meters

Step-by-step explanation:

Find the percentages: 33 1/3 % of 75

Answers

The answer is 25 because you divide 33.33 by 100 the times it by 75

The value of percent for 33 1/3% of 75 is 25.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The expression is,

⇒ 33 1/3% of 75

Solve for value as;

⇒ 100/3% × 75

⇒ 100/(3×100)  × 75

⇒ 75/3

⇒ 25

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

2^n-5×5^n-4=5

Please help me
I will mark as brainist
please do the sum in a paper and post...​

Answers

[tex]\huge{\fbox{\sf{n=5 }}}[/tex]

Step 1:

[tex]⇒ {2}^{n - 5} \times {5}^{n - 4} = 5[/tex]

Step 2:

[tex] ⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0} [/tex]

On comparing values we get:

Taking:

[tex] {2}^{n - 5} = {2}^{0} [/tex]

n-5=0

n=5

or

Taking:

[tex] {5}^{n - 4} = {5}^{1} [/tex]

n-4=1

n=5

Onya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. Part B: Katie selected a pair of shoes for the regular price of $120. After the 20% off discount is applied, what will be the discounted cost of the shoes (before tax)? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.

Answers

Answer:

a. [tex]Savings = \$16[/tex]

b. [tex]Price = \$96[/tex]

Step-by-step explanation:

Solving (a):

[tex]Price = \$80[/tex]

[tex]Coupon = 20\%[/tex]

Required

Determine her savings.

[tex]Savings = Coupon * Price[/tex]

[tex]Savings = 20\% * \$80[/tex]

[tex]Savings = \$16[/tex]

Solving (a):

[tex]Price = \$120[/tex]

[tex]Coupon = 20\%[/tex]

Required

Determine the price before tax

First, we need to determine her savings

[tex]Savings = Coupon * Price[/tex]

[tex]Savings = 20\% * \$120[/tex]

[tex]Savings = \$24[/tex]

The price before tax is calculated as follows:

[tex]Price = \$120 - \$24[/tex]

[tex]Price = \$96[/tex]

Triangle PQR has vertices P(0, 0), Q(3, 4), and R(3, 0). If triangle PQR is rotated 180° about the origin, what is the length of side P'Q'?

Answers

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

which expression has a value of 4​

Answers

Answer:

7x=28

Step-by-step explanation:

1+3
2x2
4x1
8-4
10-6
16➗4

-5 2/3 - 1/6 please help

Answers

Answer:

-5 5/6

Step-by-step explanation:

I just used my calculator.

ANSWER:
-5 5/6
EXPLANATION:
i used my calculator hehe

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer:

micro organism

Step-by-step explanation:

Lines a and b are perpendicular. The slope of the line is given. What is the slope of line b?
3/4

Answers

Answer:

-4/3

Step-by-step explanation:

If the slope of line a is 3/4, then the slope of line b will be -4/3.

find the missing number 87(M)
= 28.71

Answers

The missing number for M is 0.33

Please help me!! If f (x) = sinx/e^x, then f’ (x) =

Answers

Answer:

option B is the answer

Step-by-step explanation:

If you need explanation plz ask in the comments

Other Questions
- A quadratic model for a certain stock on Wall Street is P=-3d2 + 50d, where drepresents the days of trading and P is the price per share.a. What is the maximum price per share of the stock?Help please Im stuck is it A B C D Pls tell me White-tailed deer are native to both North and South America. They can be found in many areas of the United States. They can adapt to a wide range of habitats and eat a large variety of plants, including leaves, fruit, bark from sapling trees, flowers, corn, and even poison ivy. All states track the population of deer by various methods. In Ohio the population between 2000 and 2010 can be seen in figure 1. The main predators for deer in Ohio are human hunters and coyotes. 1. Based on the graph what might have happened to the number of deer predators between 2000 and 2004? a) the number of predators decreased.b) the number of predators quadrupled.c) the number of predators increased.d) the number of predators equalized. 2. What is happening to the deer population between 2005 and 2010?a) it stays about the same.b) it plummetsc) it increases exponentially and then stabilizes. d) it decreases and then stabilizes.3. During the same period, 2005-2010, what might have also happened to the number of deer hunting licenses. a) the graph goes up and then down so there are more people hunting deer.b) the graph is different so there is no change.c) less people wanted to hunt deer so they didn't have to buy a hunting license. d) the graph goes down so there are more wolves and ticks. i have learned that sentence What is the speed of a snail moving at a rate of 3 inches per minute in [m/s]? Recall that 1 [m] = 39 [in]. Round to the nearest ten thousandth (4 places after the decimal). Abe knew from his anatomy class that there are three different kinds of muscle tissue in the body. He knew lifting weights would help build the skeletal muscle and that running was good for cardiac muscle health. He was surprised to find out that his blood vessels had smooth muscle, so his exercise regimen was actually benefitting all the muscle types of his body. Correctly sort each of the characteristics into the appropriate category. (-2k^3-7k^2+5k) + (6k^2+3k) 3 =2+n/4show your work please i answered it foe you guys Use the drop-down menus to order the steps for creating an effective study schedule.Be realistic about how much time everything requires. 3Identify and write down all activities and commitments. 1Set aside a block of uninterrupted time each day to study. 2its (3,1,2) what is the slope of a line perpendicular to the line whose equation is x+y=-1 How far does light travel in 13 s? how many atoms are there in 6.8 mole of boron science , thank you for helping !! In general,why do organisms engage in reproduction? Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format. PLS PLS PLS HELPWILL MARK BRAINLIESTIn "St.Lucy's Home for Girls Raised By Wolves", has claudette fully adapted to human society by the end of the story? The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 times the width of the rectangle. If w represents the width of the rectangle, the equation that represents the perimeter is 2 (3 w) + 2 w = 64. Which shows the first step that should be taken to verify that the width of the rectangle is 8? A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon? List the title of the highest enlisted grade of another JROTC parent military service. For branliest. I will give a brainliest Why are nonbeleivers spiders