Kiran says that a solution to the equation `x-7=3` must also be a solution to the equation `3x-21=9`.

Write a convincing explanation as to why this is true. Explain how these are equivalent equations.

Answers

Answer 1

Answer: This is true because everything in the first equation was multiplied equally to get to the second equation. Every part was multiplied by three. The first equation is x-7=3 and the second can be seen as 3(x-7=3). The three will not affect x seeing that the entire equation had the same thing done to it.


Related Questions

Is each expression equivalent to 6 * 53? Justify your reasoning.
a. 6 * 50 + 6* 3
b. 10 * 53 -4 53
c. 6 50 + 3
d. 6 * (50 + 3)

Answers

Answer:

a, b, d. Yes c. No

Step-by-step explanation:

a. 6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

Yes

b. 10 * 53 -4*53  = (10 - 4)*53 = 6*53

Yes

c. 6 * 50 + 3  = 303

No

d. 6 * (50 + 3) = 6*53

Yes

Answer:

A, B, D = Yes

C = No

6 * 50 + 6* 3  = 6* ( 50 + 3) = 6* 53

10 * 53 -4*53  = (10 - 4)*53 = 6*53

6 * 50 + 3  = 303

6 * (50 + 3) = 6*53

Find the 53rd term of the following arithmetic sequence.

3, 12, 21, 30, ...

Answers

Answer:

471

Step-by-step explanation:

using the equation 9n-6 and replacing the n with 53 you would get 471.

Four more than twenty-six time a number is equivalent to 12 times the same number less 15.
What is the number?

Answers

Answer:

n = -19/14

Step-by-step explanation:

Please transcribe this into a symbolic equation:

26n + 4 = 12n - 15

Then 14n = -19, or n = -19/14.

Rick’s scores in his last 15 rounds of golf are 72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, and 72. If he scores an 80 on each of the next three rounds, which measure of center would increase more, the mean or median?

Answers

Answer:

The median increased more

Step-by-step explanation:

Given that:

Scores on last 15 :

72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72

Obtaining the range, mean, median and mode from the data above :

Rearranged data:

68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 81, 83, 84

Range = 84 - 64 = 16

Mode = 72 - frequency of 3)

Mean = ΣX / n where n = sample size

Mean = 1140 / 15 = 76

Median = 0.5(n+1)th term = 0.5(16)th term =

8th term = 75

A score of 80 on each of next 3 rounds :

72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72, 80, 80, 80

Rearranged data:

68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 80, 80, 80, 81, 83, 84

Range = 84 - 68 = 16

Mean = ΣX / n where n = sample size

Mean = 1380 / 18 = 76.67

Median =0.5(n+1)th term = 0.5(19)th term =

9.5 = (9th term +. 10th term) / 2 = (77 +78) / 2 = 77.5

I REALLY NEED HELp!!!!!!!!

Answers

                                Retail Price      Quantity     Total Price

Twister Pen                   .35          *        2        =     $0.70

Mini Fish Eraser            .50          *        1         =     $0.50

Happy Cap Eraser        .05          *        5        =     $0.25

Erasing Grip                  .35          *        3        =     $1.05

                                                                               ---------

Subtotal                         .7 + .5 + .25 + 1.05    =     $2.50

Sales Tax Amount (unknown because we aren't given a tax value)

Total (also unknown for the same reason)

                                             Retail Price      Quantity     Total Price

Twister Eraser                            .35          *        3        =      $1.05

Astral Wonders Pencils             .20          *        4        =      $0.80

Criss Cross Critters                    .15           *       2        =      $0.30

Traction Mechanical                      

Pencil                                         .35           *       2        =      $0.70

Muchin Mike Sharpener           .50           *       2        =      $1.00

                                                                                            ----------

Subtotal                                 1.05 + .8 + .3 + 0.7 + 1    =     $3.85

Sales Tax Amount (unknown because we aren't given a tax value)

Total (also unknown for the same reason)

Best of Luck!

-8(6x - 7y) - (24x - 3y)

Answers

Answer:

-72x + 10y

Step-by-step explanation:

First apply the Distributive Property of Multiplication:

-8(6x - 7y) becomes -48x + 7y and -(24x - 3y) becomes -24x + 3y.

Combining like terms, we get -72x + 10y

Answer:

-21x+53y

Step-by-step explanation:

learned it

What is the y intercept of y =4x

Answers

Answer:

origin of the graph (0)

Step-by-step explanation:

because it does not have a b value it is zero if there is no plus or minus a number at the end it is always 0 when dealing with the y=mx+b equation

find the missing angles​

Answers

Answer:

112 and 68 (same as matching above ones)

Step-by-step explanation:

270 students in an elementary school. There are 5 boys for every 4 girls. How many boys are there in school

Answers

Answer:

150

Step-by-step explanation:

Diana got 0.85 of the questions correct on her assessment. What fraction
represents the amount of questions she got incorrect?

Answers

Answer:

85100

Step-by-step explanation:

the decimal 0.85 can be converted to the fraction 85100 , by defintion of a decmial.

In the least-squares regression line, the desired sum of the errors (residuals) should be:_____.
a) maximized.
b) 1.
c) positive.
d) negative.
e) zero.

Answers

The answer is C post it I’ve

In the least-squares regression line, the desired sum of the errors (residuals) should be: zero

What is Number system?

A number system is defined as a system of writing to express numbers.

The key word here is "desired". We wish to make the errors as small as possible. The smallest any individual error can get is 0. Adding the entire collection of zeros will sum in a total of zero.

An error of zero means we hit the mark exactly. The unfortunate reality is that error is going to happen, so we'll have some positive error values with any regression line (or curve). It's only when all points are on the same line is when we have zero error and perfect interpolation rather than regression.

Again, the question is asking about desired error and the ultimate goal is to make the error zero. The next best thing is to minimize it as small as possible

Hence in the least-squares regression line, the desired sum of the errors (residuals) should be: zero

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ5

Can someone please help with writing this out as equation?

The student council has decided to sell t-shirts with a school logo to promote school spirit. Amanda investigated 1 company that would charge $75 to make the printing screen for the shirts, and then $5.50 per shirt. Adam checked out a 2nd company that would charge a straight $7 per shirt. Which company's option would respresent a proprtional relationship? You should support your answer with an equation, a table of values, or a graph.

Answers

1+1=2 ;&;&:’snaj8:&;$/&/8182929857748382

Which equation is a point slope form equation for line AB?
y+1=−2(x−6)

y+6=−2(x−1)

y+2=−2(x−5)

y+5=−2(x−2)

Answers

Answer:

The equation of the line would be y + 6 = - 2(x - 1).

what is the equivalent ratio to 16 56​

Answers

Answer:

The number 2

Step-by-step explanation:

Answer: easy question.The ratios are 1. 32:1122) 2. 8:28 hope that helps u

Step-by-step explanation:

Solve for x.

-x/3= 2

A.x = -6
B.x = 6
C.x = -1

Answers

Answer:

I thinK b dont blame me if wrong

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The answer is negative 6.

6/ PLEASE HELP ME ASAP.

Answers

Answer:

40

Step-by-step explanation:

In the minute number 2, you can see the intersection point in 40 packs.

Best regards

3m + 3

m= -7


A: -18
B: 24
c: -12

Answers

Answer:

Step-by-step explanation:ambient temperatures. This tape withstands a temperature range of 32 to 356 ° F (0 to 180 °C). ... 3M™ PTFE Film Electrical Tape 62, 3/8 in x 36 yd, 24 Rolls/ Case. Part Number 62 ... 3M 60 PTFE Film Tape B. 1 of 1. 3M 60 PTFE ... 32.9 m. Overall Width (Imperial). 0.375 in. Overall Width (Metric). 9.53 mm. Product Color.

For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.

Answers

He isn't lucky nor unlucky

Step-by-step explanation:

If The owner Wins every round/time he has to be skilled if he's winning for several hours

3x + y = 15 What is the solution of this system of equations? (5x+2y=-4​

Answers

Answer:

x=34    y=-87     (34,-87)

Step-by-step explanation:

3x+y=15              rewrite to solve for y  ----->    y=15-3x

5x+2y=-4

Plug y=15-3x into 5x+2y=-4

So, 5x+2 (15-3x)=-4

Distribute: 5x+30-6x=-4

Combine like terms: 30-x=-4

Solve for x   -x=-34

Solve for x   x=34

Then, to solve for y, plug "x" into 3x+y=15

So, 3(34)+y=15

Distribute: 102+y=15

Solve for y  y=-87

Solve for EG. A) 18 B) 12 9 D) 6​

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

BRAINLIEST PLEASE

can anyone help me find the answers please !!

Answers

Slope: -3/2
Y-int: 4
Slope intercept form: y= -3/2x + 4
Slope= 3/-2 Y-Intercept= 4 Slope-Intercept form= y= 3/-2 +4

Help me fast pleasee

Answers

Answer:

y=3x

Step-by-step explanation:

hope it helped

Where is the blue dot? Fill in the blank

Answers

Answer:

-19

Step-by-step explanation:

It's every 3 numbers because -7 would be between -10 & -4

help me.............​

Answers

Answer:

is there a right angle?

Step-by-step explanation:

2u = u + 43

u = 43?

A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.

Answers

Answer:

The yield to maturity is 6.3974%

Step-by-step explanation:

The computation of the yield to maturity is as follows

Given that

NPER = 18 × 2 = 36

PMT = $1,035.25 × 6.50% ÷ 2 = $33.65

PV = $1,035.25

FV = $1,000

The formula is shown below:

=RATE(NPER;PMT;-PV;FV;TYPE)

The present value comes in negative

AFter applying the above formula, the yield to maturity is

= 3.1987% × 2

= 6.3974%

Hence, the yield to maturity is 6.3974%

draw a flowchart to calculate the average from 25 exam scores​

Answers

Answer:

?

Step-by-step explanation:

Write an expression that represents the product of q and 5 divided by 2. Plz Help Me

Answers

Answer:

(5q)/2

Step-by-step explanation:

Since we want the q x 5 to be done first, we must use parentheses.

(5q)/2 (5q is a shorthand way to wrote 5 times q)

What is the slope of the line that passes through the points E(5, 1) and F(2-7)?
12 Points)

Answers

Answer:

8/3

Step-by-step explanation:

the slope is 8/3 i am sure

check if 7 is a solution of the equation 4 ( Z - 3 ) = 16. step by step plz guys. ​

Answers

Answer:

YES

Step-by-step explanation:

4(Z-3)=16

4Z-12=16

  +12 +12

4Z=28

Z=7

Answer:7

Step-by-step explanation:

4(z-3)=16

4z-12=16

4z=28

4z/4=28/4

z =7

Determine whether the mapping diagram shown below represents a
function
27 points

Answers

Answer:

Not a Function

Step-by-step explanation:

Each y-value has 2 x-values. It is supposed to only have one. hope this helped you!! Give brainliest

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