To solve the equation y – 4 = 9 for y, what operation must be applied to both sides in order to isolate the variable y?

Answers

Answer 1

Answer:

[tex]y-4=9[/tex]

The opposite of subtraction is addition, so you would have to add 4 to both sides:

[tex]y-4+4=9+4[/tex]

[tex]y=13[/tex]

Answer 2

The value of the y for the equation,y – 4 = 9  will be y=13 and e have to apply the subtraction operation must be applied to both sides in order to isolate the variable y.

What are arithmetic operations?

The subject of arithmetic operations includes the study of numbers and their operations, which are important to all other branches of mathematics. These systems' fundamental operations are addition, subtraction, multiplication, and division.

It is given that the equation is,y – 4 = 9.

We have to solve the equation y – 4 = 9 and find the operation that must be applied to both sides in order to isolate the variable y.

The following steps are to be taken to isolate the variable y.

y – 4 = 9

y-4+4=9+4

y=13

Thus, the value of the y in the equation, y - 4 = 9, will be 13, and in order to isolate the variable y, the subtraction operation must be done on both sides.

Learn more about the arithmetic operations here,

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Related Questions

At a pizza party the guests ate 7 and 1/4 pizzas. Which decimal is equivalent to the amount of pizzas they ate? show your work​

Answers

Answer:

7.25

Step-by-step explanation:

7 1/4=4*7+1=28/4=7.25

Name the parallel segment

Answers

MN would be the answer to your question because they are parallel

A basketball player completed ​44.2% of his field goals in the most recent season. He made 287 field goals. How many did he​ attempt?

Answers

44.2%= 287

Let the total attempt = x

(287/x) ×100 = 44.2

287/x = 44.2/100

287/x = 0.442

x = 287/0.442

x= 649

Hope this will help...

Kristen auto wash earns revenues of 9 dollars per customer. In all how many customers does Kristen auto wash need to serve in order to have a total of 36. In revenue

Answers

Answer:

Kristen auto wash earns revenues of 9 dollars per customer

In order to earn 36 they will need 4 customers

36÷9= 4

A baseball player leads off the game and hits a long home run. The ball contacts the bat about 5 ft. above the ground with a velocity of 16.0 ft./s. At what time will the ball hit the ground?

Answers

Answer:

16 ft

Step-by-step explanation:

whats the product of 0.02 x0.3?PLEASE ANSWER WITH STEPS PLEASEEEE,ITS URGENT

Answers

Answer:

0.006

Step-by-step explanation:

This is the answer because:

Short Way:

1) We know 3 x 2 is 6

2) When we multiply with zeros, how many ever zeros there are in the factors together, should be in the answer. In this case, in the answer we should have 3 zeros, one before the decimal point and two after the decimal point, because in 0.02 there are two zeros while in 0.3 there is only one zero.

3) Finally, the answer would be 0.006

Long Way:

1) You can do long multiplication to solve for the answer.

2) 0.02

   × 0.3

Is 0.006 because 3 x 2 is 6, and then 3 x 0 is 0 and then 3 x 0 is 0.

006

+0000

0.006

Remember to put a decimal point.

Hope this helps!

Order the following from GREATEST to LEAST (descending order).


-32,-10, 161, -31,|- 301, 25

Answers

Answer: 161, 25,-10,-31,-32,-301

Step-by-step explanation:

Solve 1/3x = -4/5. What is the answer?

Answers

Answer:

x = -12/5

decimal: x = -2.4

mixed number: x = -2 2/5

Step-by-step explanation:

simplify both sides of the equation then isolate the variable



7. Cho Sasaki demonstrates microwave ovens at the National Home Show. She is

paid $7 each for the first 7 demonstrations and $11 for each demonstration over 7.

What is her commission for a day in which she makes 12 demonstrations

Answers

Answer:

The commission made is $104

Step-by-step explanation:

Here, given the payment analysis, we want to know the total pay for a day in which 12 demonstrations were made.

From the question, we can deduce the following;

For the first 7 demonstrations , $7 is paid

Now for the remaining 5 out of the total 12, the amount paid per demonstration is $11

So the total commission earned will be;

$7(7) + $11(5)

= $49 + $55 = $104

If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATION to determine what the club should charge to maximize its income from dues.

Answers

Answer:

The value is      [tex]y  =  \$ 225[/tex]

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  [tex]k  =  \$ 200[/tex]

   The  number of members it will have at this amount is  [tex]n  =  50[/tex]

   The amount amount increase that will lead to the loss of a single member is   [tex]z =  \$ 5[/tex]

        Generally the total amount the club would obtain from  its members is mathematically represented as

      [tex]I  =  Amount \  due\ paid *  Number \  of members[/tex]

Now let x denote the number of member lost

Hence

      [tex]I  =  (k + zx) (n-x )[/tex]

=>    [tex]I  =  (200 + 5x) (50-x )[/tex]

=>  [tex]I  = 10000+50x-5x^2[/tex]

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           [tex]\frac{dI}{dx}  =  50-10x[/tex]

=>         [tex] x   =  5[/tex]

So from  [tex]I  =  (200 + 5x) (50-x )[/tex] we have

          [tex]I  =  (200 + 5 (5)) (50-5 )[/tex]

           [tex]I  = \$ 10125 [/tex]

So the amount the club should charge is    

         [tex]y  =  \frac{10125}{50 - 5}[/tex]

         [tex]y  =  \$ 225[/tex]

         

an archer misses 60% of his shots how many shots must he make before he gets 100 hits?​

Answers

Answer:

250

Step-by-step explanation:

60% is 3/5. Meaning, for every 5 shots taken, the archer only makes 3.

So, they would need to make 250 shots before they get 100.

Hope this helps!

Plz name brainliest if possible!

What Is the correct answer??

Answers

The right side stayed the same so ignore the right side

Left Hand Side:

1/4n - 5 - 4n + 3

= (1/4n - 4n) + (-5 + 3)

= (-15/4n) + (-2)

= -15/4n - 2

Ans: D

The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of
people in the pool.
ON
5 6 7 8 8 8
6 9
7
7
0 2 4
1 3
2 1
3 6
4 1 2
5
6 4 8
4
median =
years

Answers

Answer:

5 years

Step-by-step explanation:

To get the median of the ages given

2, 4, 5, 6, 7, 8, 8, 8, 0, 3, 5, 9, 1, 4, 7, 6, 1, 2, 4, 4, 8

First we will need to rearrange the median ages in ascending order (from lowest to highest)

0, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 9

Next is to locate the middle value of the arranged data

(0, 1, 1, 2, 2, 3, 4, 4, 4, 4), 5, (5, 6, 6, 7, 7, 8, 8, 8, 8, 9)

The total values in both parenthesis are the same(10 in numbers) leaving 5 as the middle number.

Hence the median age of the people in the pool is 5years

help help help help help help help

Answers

Answer:

Integer and Irrational Number

Step-by-step explanation:

Whole Numbers don't include fractions, Real numbers don't have sqrt in the btm and rational numbers don't inclue sqrt

Answer:rational number

Step-by-step explanation:

I did ot

What is the solution of the system of equations? y = –2x + 8 y = x – 4

Answers

Answer:

(4,0)

Step-by-step explanation:

So we have the system of equations:

[tex]y=-2x+8\\y=x-4[/tex]

To solve, we can use substitution.

Substitute the second equation into the first. So:

[tex]x-4=-2x+8[/tex]

Add 2x to both sides. The right cancels:

[tex]3x-4=8[/tex]

Add 4 to both sides:

[tex]3x=12[/tex]

Divide both sides by 3:

[tex]x=4[/tex]

Now, let's substitute this back into the second equation to find y:

[tex]y=x-4[/tex]

Substitute 4 for x:

[tex]y=4-4[/tex]

Subtract:

[tex]y=0[/tex]

So, our solution is (4,0).

And we're done!

Examine the table and determine the rate of change,
What is the rate of change?
O 4
x
y
X-3
1
1
-4
O 3
2
-1
3
2.
5

Answers

Answer:

the anwser is 3

Step-by-step explanation:

Sue is ready to move into a new apartment. Rent is $689 per month. To move in, Sue will need to pay
equal to two months rent. In addition, she will need to pay $78 to hook up the electricity, $134 to set
$118 to set up cable and Internet service. Round each cost to the nearest hundred and estimate abon
Sue to move into her apartment.
Estimate: $

Answers

Answer:1700

Step-by-step explanation:

Answer:

1700

Step-by-step explanation:

Solve the equation.
1/2K-(k+1/5)=1/10(k+2)

Answers

Answer:

k=−23

Step-by-step explanation:

I hope this help if you need step by step just comment

can someone help with all of these, please

Answers

Answer:

See below

Step-by-step explanation:

1. Option D

d. -6 < x ≤ 6

2.  Option C

y = 3

3.  Option B

Travis only. Tim's graph only covers positive range

4. No options provided

Domain x = (-oo, +oo)Range y = [-4, 3]

Which graph represents the line y=−3x+4?

Answers

The graph of equation y=−3x+4 has been drawn below.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given a linear function y=−3x+4

In order to plot a graph, we need to assume one x value, and corresponding to that need to calculate the y value.

Lets say x = 0 than

y = -3(0) + 4

y = 4 ⇒ (0.4) will be the first coordinate of the line.

Now let's say y = 0 than

0 = -3x + 4

x = 1.33 ⇒ (1.33, 0) will be the second coordinate of the line.

So,

Draw a straight line by passing both points gives us an f the equation y=−3x+4.

For more information about the graph of a function

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The graph of the equation y = -3x + 4 is shown in the figure attached with the answer.

We have the following equation of a straight line y = - 3x + 4.

We have to plot the equation of this straight line.

What is the general equation of a straight line ?

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question -

The equation of line = - 3x + 4

Now, comparing this line with the general equation of line -  y = mx + c, we get -

m = -3

c = 4

Hence, the graph of the equation is shown in the figure attached with the answer.

To solve more questions on graphs, visit the link below -

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9b+5=23 solve equation

Answers

Steps to solve:

9b + 5 = 23

~Subtract 5 to both sides

9b = 18

~Divide 9 to both sides

b = 9

Best of Luck!

The difference of the squares of two positive consecutive even integers is 44 find the integers use the fact that if X represents an even integer then X +2 represents the next consecutive even integers

Answers

Answer:

The 2 integers are 10 and 12

Step-by-step explanation:

Translate it into english

"The difference (some subtraction) of the squares of two positive consecutive integers ([tex]x^2[/tex] and [tex](x+2)^2[/tex]) is (=) 44 (44)"

this means the following:

[tex](x+2)^2-x^2=44[/tex]

solve for x to find the smaller integer

first, expand

[tex](x^2+4x+4)-x^2=44[/tex]

[tex]x^2+4x+4-x^2=44[/tex]

[tex]4x+4=44[/tex]

[tex]4x=40[/tex]

[tex]x=10\rightarrow x+2=10+2=12[/tex]

The 2 integers are 10 and 12

Peyton received a $5,000 bonus at work, and plans to invest it today. Her investment account will earn a 5% interest rate, compounded monthly. What will her account value be in 20 years? Peyton will have $___ in the account after 20 years.

Answers

Answer:

$ 13,563.20

Step-by-step explanation:

Formula for total amount accrued or gathered after interest is compounded monthly = A = P(1 + r/n)^nt

A = Amount after t years

P = Initial amount Invested = $5,000

r = Interest rate = 5% = 0.05

n = compounding frequency = Every month = 12

t = time in years = 20

A = $5000(1 + 0.05/12)^20 × 12

A = $ 13,563.20

Therefore, Peyton will have $13,563.20 in the account after 20 years.

Answer:

FV = PV (1 + )nt

PV = $5,000

r = 0.05

n = 12

t = 20

FV = 5,000 (1 + )12 · 20

= 13,563

Step-by-step explanation:

1.
A car dealer advertises a 8% markup over cost. Find the selling price of a car that costs the dealer $38,000.

Answers

Multiply the cost of the car by 1 + percent of markup:

38,000 x 1.08 = 41,040

The price is $41,040

Answer:

41040

Step-by-step explanation:

First find the markup

38000* 8%

38000*.08

3040

Add the markup to the original price

38000+3040

41040

Which of the following ordered pairs belongs to the graph of f(x)
- 3x + 9?
O (1, – 10)
O (-1, 12)
O (2, – 3)
O (-2, 13)

Answers

Answer:

The second choice, [tex](-1,\, 12)[/tex].

Step-by-step explanation:

Note, that the expression [tex]y = f(x)[/tex] is an equation. A point [tex](x,\, y)[/tex] is on the graph of [tex]y = f(x)\![/tex] if and only if the value of [tex]x[/tex] and [tex]y[/tex] satisfy this equation; that is: in other words, the [tex]y\![/tex]-coordinate of that point (the second number in the tuple) should be equal to [tex]f(x)[/tex], which is equal to [tex](-3\, x +9)[/tex] (evaluated where [tex]x\![/tex] is equal to the first number in the tuple.

For each tuple in the choices, calculate the value of [tex]f(x)[/tex] where [tex]x[/tex] is equal to the first number of each tuple. Compare the result to the second number in that tuple. That choice corresponds to a valid point on [tex]y = f(x)[/tex] only if these two numbers match.

First choice: [tex]x = 1[/tex], [tex]f(x) = f(1) = -3 + 9 = 6[/tex]. That's not the same as the second number, [tex]-10[/tex]. Therefore, this point isn't on the graph of [tex]y = f(x)[/tex].Second choice: [tex]x = -1[/tex], [tex]f(x) = f(-1) = (-3)\times (-1) + 9 = 3 + 9 = 12[/tex]. That matches the second number in the tuple. Therefore, this point is on the graph of [tex]y = f(x)[/tex].Third choice: [tex]x = 2[/tex], [tex]f(x) = f(2) = (-3)\times 2 + 9 = 3[/tex]. That's not the same as the second number, [tex](-3)[/tex]. Therefore, this point isn't on the graph of [tex]y = f(x)[/tex].Fourth choice: [tex]x = -2[/tex], [tex]f(x) = f(-2) = (-3)\times (-2) + 9 = 15[/tex]. That's not the same as the second number, [tex]13[/tex]. Therefore, this point isn't on the graph of [tex]y = f(x)[/tex].

Three messenger services deliver to a small town in Oregon. Service A has 60% of all the scheduled deliveries, service B has 30%, and service C has the remaining 10%. Their on-time rates are 80%, 60%, and 40% respectively. a. What proportion of the packages in the town are delivered on time

Answers

Answer:

Proportion of total delivered on time is 70% or 7/10

Step-by-step explanation:

Here, we want to know the proportion of all the packages delivered on time.

Moving away from the percentage, let’s say the total produced package amongst the 3 is 100

So;

Service A has 60% which is 60

Service B has 30% which is 30

Service C has 10% which is 10

Now from here, we move as follows;

on time rate for service A is 80%

This means 80/100 of the 60 is delivered on time

That will be 80/100 * 60 = 48

For service B, 60% is delivered on time; Thus we have ;

60/100 * 30 = 1800/100 = 18

For service C , 40% of 10

40/100 * 10 = 4

So the total on time delivery will be;

18 + 4+ 48 = 70

So the proportion delivered on time will be 70/100 = 7/10 or 70%

f(a) = 2a - 1
g(a) = 4a 1
Find f(a) + g(a)
6a + 2
O 6a-2
Oa+2
O 2a-2

Answers

Answer:

6a-2

Step-by-step explanation:

Fist wright the equation

2a+4a-1-1

add like terms

2a+4a=6a

-1+-1=-2

Combine

6a-2

Hope this helps! Plz award Brainliest : )

Please answer or i move down!!!!

Answers

Answer:

Since all views look like a circle, the solid would be a ball, which is also called a sphere.

The answer is Sphere

The geometrical name of the solid given is Sphere.

how do I write 4.18 as a mixed number​

Answers

Answer:

4 18/100

Step-by-step explanation

A king and his army will attempt to capture a fortress. The left and right flanks break off from the main group to attack the west and east guard towers. Suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. If both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. If, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. If both flanks fail, then the king's chance of capturing the fort drops to 20%. What is the chance the king will capture the fort

Answers

Answer:

Step-by-step explanation:

Let the probability of winning from left side be L and from right side by R .

Let the probability of winning by king be K .

Given information can be summarised as follows :

P(L) = .6

P(R) = .75

P K/(L∩R)=.98

P K/(L∩R')= .8

P K/(L'∩R) = .5

P K/(L∩R)' = .2

Probability of win by King can be summarised as follows .

P(k) = P(L∩R) x P K/(L∩R) + P(L∩R') x P K/(L∩R') + P(L'∩R) x P K/(L'∩R) + P(L∪R)' x P K/(L∪R)'

P(L∩R) = .6 X .75 = .45

P(L∪R) = P(L) +P(R) -  P(L∩R)

= .6 +.75 - .45 = .90

P(L∪R)' = 1 - P(L∪R) = .10

P(L∩R') = P(L)  - P(L∩R) = .6 - .45 = .15

P(L'∩R) = P(R) - P(L∩R) = .75 - .45 = .30

P(k) = P(L∩R) x P K/(L∩R) + P(L∩R') x P K/(L∩R') + P(L'∩R) x P K/(L'∩R) + P(L∪R)' x P K/(L∪R)'

= .45  x .98 + .15 x .8 + .30 x .5 + .1 x .2

= .441 + .12 + .15 + .02

= .73 approx .  

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