How do you simplify 21+(n-5)

Answers

Answer 1

Answer:

n+16

Step-by-step explanation:

21+(n-5)=21+n-5=n+21-5=n+16

Answer 2
Answer: 16+n

Let’s first rewrite the equation

21+(n-5)

The first thing we need to do is distribute. The + acts as a +1. Let’s multiply n • 1 and -5•1.

21+(n-5)

21+n-5

Now we need to combine like terms. Like terms are numbers that share the same variable, or lack of. In this equation, these numbers are 21 and -5.

21+n-5

16+n

This is your answer! Hope this helps comment below for more questions :)

Related Questions

what is the slope of the line that passes through the pair of point? (5, 7), (2, 1)

Answers

The slope of the line that passes through the pair of point (5, 7), (2, 1) is 2

Solution:

Given that line that passes through the pair of point (5, 7), (2, 1)

To find: slope of the line

The slope of line is given as:

For a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] slope is given as:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Here in this problem,

[tex]\left(x_{1}, y_{1}\right)=(5,7) \text { and }\left(x_{2}, y_{2}\right)=(2,1)[/tex]

Substituting the values in above formula,

[tex]m=\frac{1-7}{2-5}=\frac{-6}{-3}=2[/tex]

Thus the slope of given line is 2

8.27-52.48
7.38-6.18

Answers

Answer:

Answer to #1: -44.21

Answer to #2: 1.2

:)

8.27 - 52.48 = -44.21

7.38 - 6.18 = 1.2

Name two points on the graph that show that this relation is not a function

Answers

Use vertical line test. If two x-coordinates have the same y-coordinate, then those points show that the relation is not a function

Two supplementary angles have measures in the ratio 5:4 what is the measure of the smaller angle

Answers

Answer:

The smaller one measures 80 degrees.

Step-by-step explanation:

We are given:

[tex]a+b=180[/tex]

[tex]\frac{a}{b}=\frac{5}{4}[/tex]

So we have a system to solve.

I'm going to solve the bottom equation for [tex]a[/tex] by multiplying [tex]b[/tex] on both sides:

[tex]a=\frac{5}{4}b[/tex].

Let's plug this into the first equation: [tex]a+b=180[/tex]:

[tex]\frac{5}{4}b+b=180[/tex]

[tex]\frac{5}{4}b+\frac{4}{4}b=180[/tex]

[tex]\frac{9}{4}b=180[/tex]

Multiply both sides by 4/9:

[tex]b=\frac{4}{9} \cdot 180[/tex]

[tex]b=\4 \cdot \frac{180}{9}[/tex]

[tex]b=4 \cdot 20[/tex]

[texb=80[/tex].

This means [tex]a=\frac{5}{4} \cdot 80=5 \cdot \frac{80}{4}=5 \cdot 20=100[/tex].

We do have [tex]100+80=180 \text{ and } \frac{100}{80}=\frac{5}{4}[/tex].

So the smallest of the two angles is the one that measures 80 degrees.

The one that is the larger of the two is the one that measures 100 degrees.

Final answer:

The measure of the smaller angle, which is part of a pair of supplementary angles in a 5:4 ratio, is 80 degrees.

Explanation:

Supplementary angles are two angles that add up to 180 degrees. When two angles are in the ratio of 5:4, we can find the measure of the smaller angle by first adding the parts of the ratio together, which gives us 5+4=9 parts. Since the total is 180 degrees, each part is equal to 180 ÷ 9 = 20 degrees. Therefore, the smaller angle, which is 4 parts of the ratio, is 4 x 20 degrees = 80 degrees.

f(x)=-2x+15 from x=0 to x=3
Find the average rates of change

Answers

Answer:

see below

Step-by-step explanation:

Let
f(x)=
4
x
.
Let
g(x)=
4
x
+2
.
Which statement describes the graph of
g(x)
with respect to the graph of
f(x)
?



g(x)
is translated 2 units left from
f(x)
.

g(x)
is translated 2 units down from
f(x)
.

g(x)
is translated 2 units up from
f(x)
.

g(x)
is translated 2 units right from
f(x)
.

Answers

The right answer is: g(x)  is translated 2 units up from  f(x)

Step-by-step explanation:

Given functions are:

[tex]f(x) = 4x\\g(x) = 4x+2[/tex]

In order to shift the functions upward or downward, an integer is added or subtracted from the original function's output.

We can see by comparing both functions that 2 can be added to f(x) to make function g.

As 2 is added to the function, not the input, it is a vertical shifting.

As the integer is positive, the shift is upward.

So,

The right answer is: g(x)  is translated 2 units up from  f(x)

Keywords: Functions, shifting

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Multiply(2.3x10^-5)(3.1x10^12)

Answers

Answer: 71300000

Step-by-step explanation:

Answer:

7.13 x 10^7.

Step-by-step explanation:

2.3x10^-5)(3.1x10^12

= 2.3x3.1 x 10^-5 x 10^12

= 7.13 x 10^(-5+12)

= 7.13 x 10^7.

solve the following system of equations graphically. After graphing, be sure to label each line with equation and state your final solution as a coordinate pair
y=1/3x+1
x+y=5

Answers

Answer:

The solution is the ordered pair (3,2)

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=\frac{1}{3}x+1[/tex] -----> equation A

[tex]x+y=5[/tex] ----> equation B

Solve by graphing

Remember that

The solution of the system of equations is the intersection point both lines

using a graphing tool

The intersection point is (3,2)

see the attached figure

therefore

The solution is the ordered pair (3,2)

A system of equation can be solved in several ways, which includes the use of graphs

The solution to the system of linear equations is (3,2)

The system of equations is given as:

[tex]y=\frac 13x+1[/tex]

[tex]x+y=5[/tex]

See attachment for the graphs of  [tex]y=\frac 13x+1[/tex]  and [tex]x+y=5[/tex].

From the attachment, the point of intersection of the lines of both equations is (3,2)

Hence, the solution to the system of linear equations is (3,2)

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5x + 2 = 7 y = x + 1 what is the solution set of the given system?

Answers

Answer:

x = 1 , y = 2

Step-by-step explanation:

Solve the following system:

{5 x + 2 = 7 | (equation 1)

y = x + 1 | (equation 2)

Express the system in standard form:

{5 x+0 y = 5 | (equation 1)

-x + y = 1 | (equation 2)

Add 1/5 × (equation 1) to equation 2:

{5 x+0 y = 5 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 1 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 1 , y = 2

how do you solve this equation 5/2c = 8 1/3

Answers

Answer:

all work is shown and pictured

The solution of the expression is,

⇒ c = 10/3

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The expression is,

⇒ 5/2c = 8 1/3

Now,

We can simplify the expression is,

⇒ 5/2c = 8 1/3

⇒ 5/2c = 25/3

⇒ c = 25/3 × 2/5

⇒ c = 10/3

Thus, The solution of the expression is,

⇒ c = 10/3

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Please help with 14 and 15

Answers

Answer: 14. The three consecutive numbers are 12, 14 and 16.

15. An example of equation whose solution is 5 is given below

2X — 20 = X — 15

Step-by-step explanation: please see attachment for explanation.

x = - y - 2
0.5x + y = 1

Answers

Answer:

Step-by-step explanation:

substitute x = - y - 2 in 0.5x + y = 1

0.5(- y - 2) + y = 1

-0.5y-1+y=1

0.5y=2

y=4

x=- y - 2

x=-4-2

x=-6

Answer:

x=4; x=-6

Step-by-step explanation:

There are 24 times as many non-vegetarian students as vegetarian students. If there are 1200 non-vegetarian students, how many students are vegetarian?

Answers

Hi ytete East was tytyyyy

Answer:veg students: 50

Step-by-step explanation:

solve by substitution
-4x+y=6
-5x-y=21

Answers

Answer:

x=-3, y=-6. (-3, -6).

Step-by-step explanation:

-4x+y=6

-5x-y=21

--------------

-9x=27

x=27/-9

x=-3

-5(-3)-y=21

15-y=21

y=15-21

y=-6

Find the ordered pair solution of y = (2/5)x + 2 corresponding to -5

Answers

The ordered pair solution of y = (2/5)x + 2 corresponding to -5 is (x, y) = (-5, 0)

Solution:

Given that we have to find the ordered pair solution of [tex]y = \frac{2}{5}x + 2[/tex] corresponding to -5

Let us find the ordered pair corresponding x = -5

Ordered pairs are often used to represent two variables

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate

Substitute x = - 5 into the function and evaluate for y

[tex]y = \frac{2}{5}x + 2\\\\y = \frac{2}{5}(-5) + 2\\\\y = 2(-1) + 2\\\\y = -2 + 2\\\\y = 0[/tex]

Therefore the ordered pair is x = -5 and y = 0 which is (x, y) = (-5, 0)

plz help ill rate you

Answers

Answer:

The only correct statement is the first one

because the product of a number greater than 1 and another positive number always makes the second number greater than its original value

:)

Half of Roberts piece of wire is equal to 2/3 of Maria’s wire. The total length of their wires is 10 feet. How much longer is Roberts wire than Maria’s.

Answers

Answer: roberts wire  = 5.71

              Marias wire.  = 4.29

Step-by-step explanation:

Robert wire : y

Marias wire: x

y/2=2/3x

3y=4x

y=4/3x

x+y=10

x+4/3x=10

3x+4x=30

7x=30

x=30/7

X=4.29 feet

Y=4.29*4/3=5.71

Final answer:

To find out how much longer Robert's wire is than Maria's, we need to determine their respective lengths. Let's assume that Maria's wire is x feet long. Then we can set up an equation to solve for the length of Maria's wire and the length of Robert's wire.

Explanation:

To find out how much longer Robert's wire is than Maria's, we need to determine their respective lengths. It is given that half of Robert's wire is equal to 2/3 of Maria's wire, and the total length of their wires is 10 feet.

Let's assume that Maria's wire is x feet long. According to the given information, half of Robert's wire would be x/2 feet long. And since half of Robert's wire is equal to 2/3 of Maria's wire, we can set up the following equation: x/2 = (2/3) * x

We can solve this equation to find the length of Maria's wire. Once we have that, we can find the length of Robert's wire by doubling it (since it is given that half of Robert's wire is equal to x/2).

After finding the lengths of their wires, we can subtract Maria's wire length from Robert's wire length to determine how much longer Robert's wire is than Maria's.

find the slopes of the lines graphed below

Answers

Answer:

There is no picture

Step-by-step explanation:

Which best explains the relationship between lines a and b?

Planes T and X are parallel. Plane T contains line a. Plane X

contains line b.

They are skew and will never intersect.

They are parallel and will never intersect.

They are perpendicular and will intersect.

They will intersect at two points.

Answers

Answer: They are skew and will never instersect.

Step-by-step explanation: First of all, they will never instersect because they are in the parallel planes. They are also skew because in the 3 dimensional geometry, they are also not parallel because they can be different directions.

Answer:

They are skew and will never intersect.

Step-by-step explanation:

WE know that lines are in different planes which are parallel, this means that those planes have the same angle of direction.

If planes are parallel, then all lines inside them are skew, that is,  line a and line b will never intersect and they aren't necessarily has to be parallel.

For example, imagine you are in a apartment, parallel planes are the roof and the floor, they are parallel, that is, the will never intersect each other. So, if you have a ruler attached to the roof and another ruler on the floor, you will see that those rulers are not necessarily parallels, and they won't intersect each other because, they have the same angle of direction.

Therefore, the right answer is "They are skew and will never intersect"

Find the percent of increase from 12 to 18

Answers

Answer: 50%

Step-by-step explanation:

12x1.5=18

Answer:

50% increase

Step-by-step explanation:

Percentage change = increase/original × 100

[tex]change = \frac{(18 - 12)}{12} \times 100[/tex]

[tex]change = \frac{6}{12} \times 100[/tex]

[tex]change = 0.5 \times 100[/tex]

[tex]change = 50\%[/tex]

Solve and share these questions

Answers

1. p ≤ 5
2. v < 9
3. g ≠ 8
4. d ≥ 6
5. t > 2

The Chinstrap Penguin about 68.58 centimeters tall whilethe Emperor penguin is 1.143 meters tall. How many centimeters taller is theEmperor penguin than the chinstrap pengin

Answers

Answer:

I DONT KNOW

Step-by-step explanation:

I DO NOT KNOW

I just need help on the restrictions part

Answers

Answer:

B

Step-by-step explanation:

x² - 10x -24 = (x + 2) (x - 12)  ....(1)

x² - 3x - 108 = (x + 9) ( x - 12) ....(2)

(1) / (2)     formula (2) can't be 0 ∴ x ≠ -9 and x ≠ 12

(1) / (2) = (x + 2) / (x + 9)

answer is (B)

20% tip on a bill of 13.98

Answers

Answer:

$2.80 (rounded from 2.796)

Step-by-step explanation:

13.98*0.2

Answer:

$2.80

Step-by-step explanation:

Multiply $13.98 by 0.2 (0.2 = 20%):

[tex]13.98*0.2=2.796[/tex]

Since you can't tip less than a cent, round to the nearest cent (hundredth of a dollar):

[tex]2.80[/tex]

20% tip on a bill of $13.98 is $2.80.

Antonia has $2,000 earning 3% simple interest in her bank account. Use the formula I = prt where I is the interest earned, p is the principal amount, r is the interest rate, and t is the amount of time the money is in the account to calculate the amount of interest that Antonia will earn after 4 years. Round to the nearest penny if necessary.

Answers

Answer:

$240

Step-by-step explanation:

i = prt

i = $2,000 x 0.03 x 4

i = $240

The amount of interest Antonia will earn in 4 years is $240.

10 POINTS!!

Draw a tree diagram to show the sample space for each event.

dessert choices: a cake or a shake, each available in vanilla or strawberry flavors

Answers

Answer:

The first answer is the correct choice.

Step-by-step explanation:

For this, there are two initial options. A cake or a shake. This means that there are two different trees that need to exist. One for Cakes and one for shakes.

Each of these trees needs to have the options of having vanilla and strawberry.

The first answer is the only one that follows this criteria

Answer:

1st one is correct.

Step-by-step explanation:

During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. The first
caller has a chance to win $100. Which equation represents the amount the 10th caller receives if this caller is the first to
answer the question correctly?
a10=100+(10-1)50
a10=50+(10-1)100
a11=100+(11-1)50
a11=50+(11-1)100

Answers

Answer:

The expression is  [tex]a_{10}[/tex] = 100+(10 - 1)50 .

Step-by-step explanation:

Given as :

The amount of money added as prize money =  $50

The amount that first caller will win =  [tex]a_{1}[/tex] = $100

Let The amount that 10th caller win = $A

∴ common difference for the callers amount = $50

Now, According to question

The given statement is in arithmetic expression

So, For A.P , The nth term is written as

nth term = first term  + (n - 1) × common difference

I.e [tex]a_{10}[/tex] = [tex]a_{1}[/tex] +  (n - 1) × common difference

Here n = 10

Or, A = $100 +  (10 - 1) × 50

So, The expression =  [tex]a_{10}[/tex] = 100+(10 - 1)50

Hence, The expression is  [tex]a_{10}[/tex] = 100+(10 - 1)50 . Answer

Answer:

The answer is A.

Step-by-step explanation:

a10=100+(10-1)50

Got it correct in the quiz.

Solve the equation.
-3x +.1 + 10x = x + 4
N
olu
R
X =
18

Answers

Answer:

Hence after solving the given equation we get x = 13/20.

Step-by-step explanation:

Given:

-3 x + 0.1 + 10 x = x + 4

-3 x + 10 x - x = 4 - 0.1

6 x = 3.9

x = [tex]\frac{3.9}{6}[/tex]

x = [tex]\frac{1.3}{2}[/tex]

x = [tex]\frac{13}{20}[/tex]

Tickets for a children's musical cost 3.50 for adults and 2.00 for children. If 250 tickets were sold for a total of 650.00 how many tickets of each kind were sold

Answers

Number of adult tickets sold is 100 and number of children tickets sold is 150

Solution:

Let "c" be the number of childrens ticket sold

Let "a" be the number of adult tickets sold

Cost of 1 children's musical ticket = $ 2.00

Cost of 1 adult musical ticket = $ 3.50

Given that 250 tickets were sold

number of childrens ticket sold + number of adult tickets sold = 250

c + a = 250 ---- eqn 1

250 tickets were sold for a total of 650

So we can frame a equation as:

number of childrens ticket sold x Cost of 1 children's musical ticket + number of adult tickets sold x Cost of 1 adult musical ticket = 650

[tex]c \times 2.00 + a \times 3.50 = 650[/tex]

2c + 3.50a = 650 ---- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "c"

From eqn 1,

c = 250 - a ----- eqn 3

Substitute eqn 3 in eqn 2

2(250 - a) + 3.50a = 650

500 - 2a + 3.50a = 650

1.5a = 150

a = 100

From eqn 1,

c = 250 - 100

c = 150

Thus number of adult tickets sold is 100 and number of children tickets sold is 150

Triangle A and Triangle B have the same base. The height of Triangle B ice the height of Triangle A. How many times greater is the area of is tw Triangle B? Big Ideas Math G

Answers

Final answer:

The area of Triangle B is two times greater than the area of Triangle A, due to the height of Triangle B being twice that of Triangle A with the base remaining constant.

Explanation:

The question pertains to the comparison of the areas of two triangles that share the same base. The height of Triangle B is twice the height of Triangle A. To find the area of a triangle, we use the formula 1/2 × base × height. Given that both triangles have the same base, if we call the height of Triangle A 'h', then the height of Triangle B is '2h'.

So, the area of Triangle A is (1/2 × base × h), and the area of Triangle B is (1/2 × base × 2h). Simplifying the expression for the area of Triangle B, we find it is equal to 2 × (1/2 × base × h), which means it's exactly twice the area of Triangle A. Thus, the area of Triangle B is two times greater than the area of Triangle A.

If one triangle's height is double the other's, its area is four times greater, with same base.

let's break it down step by step.

1. Area of a Triangle Formula: The area of a triangle is calculated using the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]

2. Given Information:

  - Both Triangle A and Triangle B have the same base.

  - The height of Triangle B is twice the height of Triangle A.

3. Comparing the Areas:

  - Let's denote the base of both triangles as [tex]\( b \).[/tex]

  - Let the height of Triangle A be [tex]\( h_A \)[/tex] and the height of Triangle B be [tex]\( h_B \).[/tex]

 

4. Area of Triangle A [tex](A_A)[/tex]:

  - Using the area formula, the area of Triangle A is:

   [tex]\[ A_A = \frac{1}{2} \times b \times h_A \][/tex]

5. Area of Triangle B [tex](A_B)[/tex]:

  - Triangle B has double the height of Triangle A, so the height of Triangle B is [tex]\( 2h_A \).[/tex]

  - Using the area formula, the area of Triangle B is:

   [tex]\[ A_B = \frac{1}{2} \times b \times (2h_A) = b \times h_A \][/tex]

6. Comparing the Areas:

  - Since both triangles have the same base [tex](\( b \)),[/tex] and the height of Triangle B [tex](\( 2h_A \))[/tex] is twice the height of Triangle A [tex](\( h_A \)),[/tex] the area of Triangle B is [tex]\( b \times h_A \)[/tex] which is exactly the same as Triangle A.

7. Conclusion:

  - The area of Triangle B is not just greater, it's exactly the same as Triangle A.

So, if the base and one of the heights are doubled, the area of the triangle also doubles. This is because the area of a triangle is directly proportional to its height when the base is constant.

Other Questions
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Construct a scatterplot.3. The linear correlation coefficient r is4. The test statistic t is5. The P-value isBecause the P-value is ____ than the significance level 0.05, there ____ sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of =0.05.Do the results suggest that imported lemons cause carfatalities?A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.B. The results do not suggest any cause-effect relationship between the two variables.C. The results suggest that imported lemons cause car fatalities.D. The results suggest that an increase in imported lemons causes in an increase in car fatality rates. Los Amigo Inc., a clothing manufacturer, believes that employees must be paid above the average market rate. The company aims to provide good customer service and to increase its sales. 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This results in resentment among several of the company's employees. This practice of hiring relatives is called _____.Multiple Choice1. nepotism2. localism3. abstractionism4. voluntarism5. structuralism Which development occurred in Germany as a resultof the terms imposed by the Treaty of Versailles?(1) Soviet occupation(2) political instability(3) overseas expansion(4) economic prosperity The particular type of shareholder voting used has become less important with the influence of takeovers, leveraged buy-outs, and other challenges to management control.A. TrueB. False In Baer Food Co.s Year 3 single-step income statement, the section titled Revenues consisted of the following: Net sales revenue $187,000 Discontinued operations: Income from operations of component unit (including gain on disposal of $21,600) 18,000 Income tax (6,000) Interest revenue 10,200 Gain on sale of equipment 4,700 Total revenues $213,900 In the revenues section of the Year 3 income statement, Baer Food should have reported total revenues of Evaluate What conclusion does King reach through inductive reasoning? Does thisconclusion logically follow from the evidence he has presented? Why or why not? Transform active margins are associated with which type of boundary? Convergent Transform Divergent The solution to a system of linear equations is (-3,-3). Which system of linear equations has this point as its solution?x-5y = -12 and 3x+2y = -15OX-5y=-12 and 3x+2y = 15x-5y = 12 and 3x+2y = - 15X-5y = 12 and 3x + 2y = 15 What is the narrators purpose in asking the two questions in paragraph 1 Analysis 1. Alpha Particles a. What is the mass number of an alpha particle? b. What kind of charge does an alpha particle have? c. What is the identity of an alpha particle? (Hint: What atomic symbol is used?)d. Write the balanced equation for the alpha decay that is below the Show Equation. Label the parent, daughter, and alpha particle.Please help _____ the subjective feelings of being overwhelmed by events that seem uncontrollable. Which of the following is an example of an epigenetic change in eukaryotes? A) a loss of an AT base pair from a gene B) the addition of methyl groups to cytosines in the promoter region of a gene C) the substitution of an AT base pair by a GC base pair in a gene as a result of a mistake during DNA replicationD) a deletion that simultaneously removes two genes from the genome E) None of these examples represents epigenetic changes. Steam Workshop Downloader