What is substitution property of equality?

Answers

Answer 1
A rule used in algebra. If known that y = x, then you can substitute x in for y in any equation and visa verse. 


Related Questions

what does the expression 15 - 3[2+6 (-3] simplify to?

Answers

Use pemdas to solve. Answer is 63
You start by doing order of operations. First parenthesis, in this case [2+6(-3)]. Which leaves you with [8(-3)]. Multiply and you have -27. Now for 15-3 which is 12. You're left with 12-27 which is simplified.

What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches?
A. 13 inches

B. 17 inches

C. 21 inches

D.25 inches

Answers

Answer:

B.17 INCHES

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

just helping the other guy get brainliest.

The ordered pair below is a solution to which equation? (2, 12) A. y = 6x B. y=1/2x C. y = 2x D. y=1/6x

Answers

Substitute the x for 2 and the y for 12 in each equation. The first choice works out. (12)=6(2), 12=12. This means the answer is true. A is your answer.

What is the side length of a cube with a volume of 4913 m3? m

Answers

We Know, volume of cube, m³ = 4913
m = ∛4913
m = 17

So, your final answer is 17

Hope this helps!

Help!!!!!: Ben opened a credit card at a department store with an APR of 27.99% compounded monthly. What is the APY on this credit card?
2.33%
31.88%
39.27%
55.98%

Answers

The answer is B. 31.88%

Answer:

31.88%

Step-by-step explanation:

The monthly added compound interest will be:

3.89 %

The new APY interest on the credit card = 3.89 + 27.99

                                                                    = 31.88 %

Please!!!!!!!!! I need this answers ASAP Pleas !!!!!!!!

Question 1
If y varies directly with x and y = 4 when x = 12, then what is the value of y when x = 60?

Question 2
If y varies directly with x and y = 3 when x = 12, then what is the value of y when x = 40?

Question 3
Suppose p varies directly with d, and p = 7 when d = 3. What is the value of d when p = 28?

Question 4
What is the direct variation equation for the table of ordered pairs?

x y
80 56
90 63
100 70

Question 5
What is the direct variation equation for the table of ordered pairs?

x y
60 48
70 56
80 64

Answers

1) 20
2) 10
3) 12
4) y = 0.7x
5) y = 0.8x

Answer:

1) 20

2) 20

3) 12

4) 0.7

5)0.8

Step-by-step explanation:

when it asks questions like question 1 and 2 and 3 just take what the number is multiplied by

Does it matter if you add azero when you divide a dcimal.

Answers

no, it won't change the outcome.

Answer:

no it does not matter

Step-by-step explanation:

This table represents an exponential function.

What is the ratio of outputs for any two inputs that are 2 apart?

Divide the larger output by the smaller output.

Enter your answer in the box as a decimal to the nearest hundredth.

This is how the table looks

Number of Years from Now Value of a Scooter ($)
0|45
1|48.24
2|51.71
3|55.44
4|59.43

Answers

Answer:

it is 1.15 the dude on top is right it is 1.15 i took the test and it 1.15

Step-by-step explanation:

The output of the defined number operation indicates the operations involved in the function.

The ratio of outputs for any two inputs that are 2 apart is approximately 1.149.

Reasons:

The table is presented as follows;

[tex]\begin{array}{|cc|c|}Number \ of \ years \ from \ Now&&Value \ of \ a \ Scooter\\0&&45\\1&&48.24\\2&&51.71\\3&&55.44\\4&&59.43\end{array}\right][/tex]

The ratio of the outputs for two inputs that are 2 apart, with the larger output divided by the smaller output are;

[tex]Between \ 0 \ and \ 2; \dfrac{51.71}{45} = 1.149 \overline 1[/tex]

[tex]Between \ 1 \ and \ 3; \dfrac{55.44}{48.24} \approx1.1493[/tex]

[tex]Between \ 2 \ and \ 4; \dfrac{59.43}{51.71} \approx 1.149294140[/tex]

Therefore;

The ratio of outputs for any two inputs that are 2 apart is approximately 1.149.

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Which is larger 5 miles or 26,300 ft?

Answers

5 miles.
1 mile = 5,280 ft.

5,280 × 5 = 26,400 ft.

So 5 miles is bigger.

being timed help



What is the common ratio for the geometric sequence?



43,4,12,36,...

Answers

i'm assuming 43 is actually 4/3
see what number the previous term must be multiplied by to get the next term
4 *something = 12, 12*something=36
common ratio is 3

Which polynomial expression represents the area of the outermost square tile, shown below?

A square shaped tile with length x plus three is shown

x2 + 6x + 6

x2 + 9x + 6

x2 + 6x + 9

x2 − 6x + 9

Answers

Answer:

The correct answer is C,  "x2 + 6x + 9."

Step-by-step explanation:

I just got it correct on the test.

Final answer:

To find the area of a square tile with sides of length x + 3, we square the binomial, resulting in the polynomial expression x² + 6x + 9, which represents the area of the square tile.

Explanation:

The question asks which polynomial expression represents the area of a square tile with sides of length x + 3. To find the area of a square, you multiply the length of one side by itself. In this case, the length of each side of the square is (x + 3), so the area of the square is (x + 3)(x + 3), or (x + 3)².

To expand this expression, we use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². Applying this formula to our expression, we get:

a = x

b = 3

(x + 3)² = x² + 2(3)x + 3²

(x + 3)² = x² + 6x + 9

Therefore, the correct polynomial expression that represents the area of the square tile is x² + 6x + 9.

A baseball that usually cost $65 is on sale for $55.25. what is the percent off?

Answers

15% is the answer for your problem

graph of y=3 tan x ...?

Answers

The graph of y = tan x

will look like a stretched tan (x) by a factor of 3

It's not horizontal line

hope this helps

Determine the volume of the right circular cone generated by rotating the line y = 1/3x about the y-axis between y = 0 and y = 3.
A) V = 81pi cu.units
B) V = 84pi cu.units
C) V = 82pi cu.units
D) V = 85pi cu.units
E) V = 83pi cu.units

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

Rotating around the y-axis; solve for x. y = x/3
x = 3y

Find x^2
x^2 = 9y^2

Integrating it using the limits of 0 and 3, remember to add the pi and integrate 9y^2.

The answer is 81pi cubic units which is A. 

In this exercise we want to calculate the volume of a circular cone in this way we have that the rotation will be given by:

Letter A

First let's write the rotation in favor of the X, this will be equal to:

[tex]y = x/3\\x = 3y[/tex]

So substituting this value in the function we find that:

[tex]x^2 =(3y)^2= 9y^2\\\int\limits^3_0 {9y^2} \, dx =81 \pi[/tex]

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5 lollipops and 12 toffees have a mass of 61 grams and 10 lollipops and 13 toffees have a mass of 89 grams . Calculate the mass of one lollipop and one toffee

Answers

a - mass of the lollipop
b - mass of yhe toffee

5a + 12b = 61
10a + 13b = 89

10a = 89 - 13b
a = 8.9 - 1.3b

5*(8.9 - 1.3b) + 12b = 61
44.5 - 6.5b + 12b = 61
5.5b = 16.5
b = 3

a = 8.9 - 1.3*3 = 5

a = 5
b = 3

Lollipop has a mass 5g and toffee 3g

A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated. find p(b/not
a.

Answers

I believe this is incomplete what are the choices

Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?

Answers

What are the options?

Answer:

B

Step-by-step explanation:

The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours.

Estimate the value of T′(8). Give units in your answer.
What is the meaning of T′(8)?


t 0 2 4 6 8 10 12 14
T 73 73 70 68 73 80 86 89

Answers

We need to estimate the value of T'(8) and then we need to give the meaning of this value. Since we have a table and not an expression of a function our goal is to find the Average Rate of Change between two points.


For a nonlinear graph whose slope changes at each point, the average rate of change between any two points [tex](x_{1},f(x_{1}) \ and \ (x_{2},f(x_{2})[/tex] is the slope of the line through the two points. So:


[tex]ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} =\frac{Change \ in \ y}{Change \ in \ x}=m_{sec}[/tex]


1. Estimated value of T′(8).


T'(8) means the derivative of the function T(t) when t = 8 hours. So, we can estimate this value using the average rate of change:

[tex]ARC=\frac{T(8)-T(6)}{8-6} =\frac{73-68}{8-6}=\frac{5}{2} \ degrees \ per \ hours[/tex]


2. The meaning of T′(8)

This means the average temperature after midnight in Phoenix on March 15, from t = 6 to t = 8 hours, that is, for each hour the temperature rises 5/2 degrees on the Fahrenheit scale. The points have been plotted in the Figure bellow.

The rate of change of the temperature is 3 degrees Celsius per hour. This response means that temperature has an instantaneous increase rate of 3 degrees Celsius per hour at [tex]t = 8\,h[/tex].

We can estimate the rate of change of the temperature, in degrees Celsius per hour, by calculating the average of two consecutive secant lines, whose expression is presented below:

[tex]T'(t) \approx \frac{1}{2}\cdot \left[\frac{T(t+\Delta t)-T(t)}{\Delta t} + \frac{T(t)-T(t-\Delta t)}{\Delta t} \right][/tex] (1)

If we know that [tex]\Delta t = 2[/tex], [tex]T(6) = 68[/tex], [tex]T(8) = 73[/tex] and [tex]T(10) = 80[/tex], then the estimated value of the rate of change of the temperature is:

[tex]T'(8) = \frac{1}{2}\cdot \left[\frac{80-73}{2}+\frac{73-68}{2} \right][/tex]

[tex]T'(8) \approx 3\,\frac{^{\circ}C}{h}[/tex]

The rate of change of the temperature is 3 degrees Celsius per hour. This response means that temperature has an instantaneous increase rate of 3 degrees Celsius per hour at [tex]t = 8\,h[/tex].

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14 inches of snow fell in 4 hours how much snow fell each hour

Answers

14 inches fell in 4 hours
14 inches / 4 hours

14/4 = 3.5

3.5 inches of snow fell every hour.

If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year? simple interest = P × r × t Select one of the options below as your answer: A. $10.50 B. $30.25 C. $105

Answers

the interest rate earned in one year is $10.5

Answer:

The option A. $10.50 is correct

Step-by-step explanation:

Principal = $350

Rate = 3%

⇒ Rate = 0.03

Time = 1 year

Now, Simple Interest is given by the formula : Principal × Rate × Time

Therefore, Simple Interest = 350 × 0.03 × 1

Simple Interest = $10.50

Hence, The option A. $10.50 is correct

A video rental company offers a plan that includes a membership fee of $6 and charges $2 for every DVD borrowed. They also offer a second plan, that costs $48 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. What is that total cost of either plan? How many DVDs is that?

Answers

The number of DVD's you need to rent for the plans to cost the same is ($48-$6)/$2 = 21 DVDs

which is a factored form of 216p^3 + 125q^3?

Answers

Simple....

you have: [tex] 216p^{3} + 125p^{3} [/tex]

Simplify it by factoring out [tex] p^{3} [/tex]-->>

[tex] p^{3} (341)[/tex]

Or, just add it-->>

[tex] 341p^{3} [/tex]

Thus, your answer.

The factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]

To find the factored form of the expression [tex]\(216p^3 + 125q^3\)[/tex], we can use the sum of cubes formula:

[tex]\[ a^3 + b^3 = (a + b)(a^2 - ab + b^2) \][/tex]

Where a = 6p and b = 5q.

Substituting these values into the formula, we get:

[tex]\[ 216p^3 + 125q^3 = (6p)^3 + (5q)^3 \][/tex]

[tex]\[ = (6p + 5q)((6p)^2 - (6p)(5q) + (5q)^2) \][/tex]

[tex]\[ = (6p + 5q)(36p^2 - 30pq + 25q^2) \][/tex]

Therefore, the factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]

Complete question:

What is the factored form of 216p³+125q³?

In order to purchase a home, a family borrows $159,000 at 6.5% for 30 years. Use the table to find their monthly payment. Round the answer to the nearest cent.

a. $954.00                 c. $1,186.14
b. $1,006.47               d. $1,276.36

Answers

So, the given figure above shows us the monthly payments and interest in a $1000 of mortgage. So the interest rate monthly for 30 years is 6.33 dollars. So now, since it is stated that you are going to borrow $159,000, we will just have to multiply 6.33 by 159 and the result would be $1006.47. Therefore, the answer would be option B. Hope this answer helps.

Answer:

B

Step-by-step explanation:

If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 17x – 2
B. 3x – 6x + 2
C. 3x + 14x – 2
D. 3x + 6x + 2

Answers

3x + 10x + 4x – 2
= 17x - 2

answer is A. 17x – 2

Answer:c

Step-by-step explanation:

to express the polynomial d^2+d^3-d+3 in standard form, which term should be written first?
*the quartic term
*the constant term
*the cubic term
*the quadratic term ...?

Answers

When you want to write a polynomial, you should write the term with the highest degree first.
Here, it should go like this: d^3 + d^2 - d + 3
This means that the term which should be written first is the cubic term. 

Answer:

Option 3- the cubic term

Step-by-step explanation:

Given : Polynomial [tex]d^2+d^3-d+3[/tex]

To find : To express the polynomial  in standard form, which term should be written first?

Solution :

The given polynomial [tex]d^2+d^3-d+3[/tex]

The standard form of polynomial is arranged according to the higher degree to the lowest degree.

The degree is the power, first the higher degree then the lower and last the constant term.

In our given polynomial the highest degree is 3 so it is the first term of the polynomial.

The standard form is [tex]d^3+d^2-d+3[/tex]

Therefore, The required result is the cubic term is written first.

Is 69 a prime or composite number

Answers

composite number. 69=3×23

Answer:

composite

divisible by 3,1,69,23

Have a nice day!

Step-by-step explanation:

jack has no more than $24 to spend on DVD's for a party. Each DVD rents for $4. Find the maximum number of DVD's jack can rent for his party. answer must be written on a number line

Answers

Assuming he spends all the $24 on renting DVD's we can simply divide the money he has available with the price of each DVD in order to know how many he can buy.

$24/$4 = 6

Jack can rent a maximum of 6 DVD's

Answer:

Jack can rent a maximum of 6 DVD's

Step-by-step explanation:

Solve the equation below for y.
8x - 2y = 24
A. y= 4x - 12
B. y= 12 - 4x
C. y = 8x - 24
D.y = 4x - 8

Answers

A

Because 8x - 2y = 24 is equal to -2y = -8x + 24 is equal to y = 4x - 12.

The given equation, when solved for y gives y = 4x - 12.

Hence, option A is correct.

Given is an equation 8x - 2y = 24, we need to solve for y.

To solve the equation for y, you need to isolate y on one side of the equation.

Let's do that step by step:

Start with the original equation:

8x - 2y = 24

Get rid of the constant term on the left side by subtracting 8x from both sides:

-2y = -8x + 24

Now, we want to solve for y, so we need to get rid of the coefficient of y (-2).

To do that, divide both sides by -2:

y = (-8x + 24) / -2

Simplify the right side of the equation:

y = -8x / -2 + 24 / -2

Simplify further:

y = 4x - 12

So, the solution for y is:

A. y = 4x - 12

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Write the fraction as a percent. If necessary, round to the nearest tenth of a percent. 18/25

47.3%
48.6%
72%
73.4%

Answers

18/25 = 0.72
0.72 = 72% 

A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 640t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit.

Answers

It would only be 1 second.

h(1)=−16(1^2)+(640)(1)

After simplification, the answer would be h = 624.

If you substituted 2 for t, you would see that h would get smaller. Each time you increased t, h would get smaller.
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