What is the equation for 5n+7=21

Answers

Answer 1
21 - 7 = 14 

5n = 14

14 / 5 = 2.8

N = 2.8 

Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')
Answer 2
Hey there!

To start, you must first isolate the 5n term so that you can solve for the variable of n.

To do this, subtract 7 from both sides:
5n+7=21
     -7   -7
5n=14

Now, divide both sides by 5 to isolate the n term:
5n/5=14/5

You should get a result of n=14/5

Therefore, your final answer should be n=14/5.

To check if the answer is correct, simply plug 14/5 for the variable n in the original equation. If you get a correct mathematical statement when you simplify, the value is correct:
n=14/5
5(14/5)+7=21
14+7=21
21=21

Therefore, n=14/5 is correct.

Hope this helps and have a marvelous day! :)

Related Questions

Jason and Donny painted a room and received $300. To complete the painting job Jason spent 4 hours and 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $300 in proportion to the time each spent painting, how much did Donny receive?

Answers

Donny spent 2.25 hours painting, while Jason spent 4.4167 hours. The total time spent was 6.6667 hours, and Donny's percentage of this time was approximately 33.75%. Therefore, Donny received $101.25 of the $300 payment.

To determine how much Donny received from the $300 for the painting job, we first need to calculate the total amount of time Jason and Donny spent painting, then divide the total earnings based on the proportion of time spent. Jason spent 4 hours and 25 minutes, which is equivalent to 4.4167 hours (4 hours and 25 minutes / 60 minutes). Donny spent 2 hours and 15 minutes, which is equivalent to 2.25 hours (2 hours and 15 minutes / 60 minutes).

The total time spent on the painting job is the sum of Jason's time and Donny's time, which is 4.4167 + 2.25 = 6.6667 hours. The proportion of time Donny spent is 2.25 hours / 6.6667 total hours, which equals approximately 0.3375 (or 33.75%).

Therefore, Donny's share of the $300 is 0.3375 * $300, which equals $101.25. As a result, Donny received $101.25 for his part of the painting job.

a golf pro shop sells two types of shirts, the first for 100$ each and the other for 60$ each. last month the shop sold 50 of these shirts for a total of 4600$ how many 100$ shirts did they sell?

Answers

The answer would be 40. This can be found by using the formula "60s + 100t = 4,000" or replacing 40 into the formula above, which would mean there were 10 $60 shirts totaling $4,600 and 50 shirts.

how can you use place -value blocks and a hundred chart to show the number that is ten more than 43? what is the number

Answers

The number that is ten more than 43 is 53

Represent the number with x.

A number x that is 10 more than 43 is then calculated using the following equation

x - 43 = 10

Add 43 to both sides of the equation

x - 43 + 43 = 10 + 43

Evaluate the sums

x = 53

Hence, the number that is ten more than 43 is 53

See attachment for the place value blocks

Read more about place values at:

https://brainly.com/question/12386995

Final answer:

To find the number ten more than 43, use place-value blocks by adding a tens block to the existing four tens and three ones blocks to get 53. On a hundred chart, locate the number 43 and move one row down to arrive at 53, which is ten more than 43.

Explanation:

The question asks how to use place-value blocks and a hundred chart to show the number that is ten more than 43. To illustrate this using place-value blocks, you would start with 4 tens blocks and 3 ones blocks to represent the number 43. Then, you would add one more tens block to represent the addition of ten. After adding this block, you would have a total of 5 tens blocks and 3 ones blocks, which represents the number 53.

On a hundred chart, first find the number 43. Then, since each row on a hundred chart represents ten numbers, you would move one row down to find the number that is ten more than 43. This would take you to the number 53, which is directly below 43 on the chart.

Therefore, the number that is ten more than 43 is 53.

Brandon is twice as old as his brother Ryan. Ryan is one-eighth the age of their father. If their father is 52 years old, how old are Ryan and Brandon? (Please show work)


Ryan ________

Brandon ________

Answers

Ryan is 1/8 of 52 Ryan is 6.5 years old or
52 ÷ 8 = 6.5 6 years and 6 month old.

Brandon is 6.5 × 2
Brandon is 13 years old

Answer:

Brandon is 13 and Ryan is 6 and 1/2

Step-by-step explanation

Hiker's rate is 6 mph, which is 3 11 of the bicycle's rate. How fast do they move towards each other? How fast do they get closer if the bicyclist catching up with the hiker?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9304180

Answer:

there is like 5 other answered of this same problem

Step-by-step explanation:

find × if m<1=2×+10 and m<2=3×-6

Answers

∠1 = ∠2
2x +10 = 3x -6
16 = x . . . . . . . . . . . add 6-2x

Selection B is appropriate.

Granny has some stickers.if she gives 6 stickers to each of her grandchildren,she will have 5 stickers left.if she gives 7 stickers to each of her grandchildren,she will need 2 more stickers.how many grandchildren does granny have?

Answers

sorry, but if you're in college, why do need to ask this question. this is like a 5th grade question.

In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perimeter of ∆ABC; 2) The area of ∆ABC; 3) The height to the hypotenuse.

Answers

BC: 16
AC: 12
AB: 20

perimeter :
[tex]12 + 16 + 20 = 48[/tex]
area:
[tex](12 \times 16) \div 2 = 192 \div 2 = 96[/tex]
hope this helps

If the area of a triangle is 5 5/6 feet and the base is 5 feet. What is the height?

Answers

[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh\quad \begin{cases} b=base\\ h=height\\ -----\\ A=5\frac{5}{6}\\ b=5 \end{cases}\implies 5\frac{5}{6}=\cfrac{1}{2}(5)h\implies \cfrac{5\cdot 6+5}{6}=\cfrac{5h}{2} \\\\\\ \cfrac{35}{6}=\cfrac{5h}{2}\implies 70=30h\implies \cfrac{70}{30}=h\implies \cfrac{7}{3}=h\implies 2\frac{1}{3}=h[/tex]

Which of the following describes the polynomial function?

Answers

Answer: the function has an odd degree.

Explanation:

1) The leading coefficient is the coefficient of the leading term. The leading term is the the term with the highest degree.

The leading term is dominant when x grows. So, for x → infinity the value of a polynomial trends toward infinity if the leading coefficient is positive and toward negative infinity if the leading coefficient is negative.

The graph shows that the function goes to infinity as x grows, so the leading coefficient is positive, which discards the first choice (that the function has a negative leading coefficient).

2) It is right that the polynomial has an odd degree.

The degree of a polynomial is the highest degree of its individual terms.

Odd-degree polynomials have ends that head off in opposite directions, while the ends of even-degree polynomilas come in and leave out the same quadrant.

It is easy to remember is you think that even-degree polynomials behave, on their ends, like quadratics, and all odd-degree polynomials behave, on their ends, like cubics.
3) The other statements are easy to discard: there are two turns on the graph and the function has 3 x-intercepts.

Answer:

The function has an odd degree

Step-by-step explanation:

Edge 2020

In the following function defined by an equation in the form y=ax^2+bx+c, identify the values of a, b, and c. y=-2x^2

a) A=-2, b=0, c=0
b) a=-2, b=-2, c=-2
c) a=0, b=-2, c=0
d) a=0,b=0, c=-2

Answers

[tex]\sf y=ax^2+bx+c[/tex]

[tex]\sf y=-2x^2[/tex]

'a' here is -2, 'b' is 0, and 'c' is also 0, anything multiplied by 0 is 0, adding 0 to anything keeps it the same. So the answer is A.
Final answer:

In the quadratic function y = -2x^2, the values of the coefficients a, b, and c are -2, 0, and 0, respectively.

Explanation:

In the quadratic equation y = ax^2 + bx + c, the coefficients a, b, and c represent specific values that dictate the curve's shape and position. Given the equation y = -2x^2, we can compare it to the standard form to determine its coefficients. It is evident that a is -2, b is 0 since there is no x-term, and c is also 0 because there is no constant term. Therefore, the correct answer is a=-2, b=0, c=0, which corresponds to option a.

The mean is always one of the data values

Answers

Hi there!

This is false.

The mean is the average of a set, and it doesn't have to be a number in the set.

Hope this helps!

You work two jobs. You earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. Your combined earnings this month are $178.50. Let x represent the number of hours worked stocking shelves and let y represent the number of hours worked in sales. Graph the equation that models this situation

Answers

First we define the variables as they are written in the problem statement.
 x = represent the number of hours worked stocking shelves
 y = represent the number of hours worked in sales
 We write the equation:
 11.90y + 10.50x = 178.50 
 Observe that the equation represents a line of negative slope. 
 Answer: 
 See graphic in attached image.

Answer:

The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]

Step-by-step explanation:

Let 'x' represent the number of hours worked stocking shelves

Let 'y' represent the number of hours worked in sales.

You earn $11.90 per hour as a salesperson i.e. 11.90y.

You earn $10.50 per hour stocking shelves i.e. 10.50x.

Your combined earnings this month are $178.50.

i.e. [tex]10.50x+11.90y= 178.50[/tex]

The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]

To plot the graph we find x and y intercept,

For x-intercept put y=0,

[tex]10.50x+11.90(0)= 178.50[/tex]

[tex]x=\frac{178.50}{10.50}[/tex]

[tex]x=17[/tex]

Point is (17,0).

For y-intercept put x=0,

[tex]10.50(0)+11.90y= 178.50[/tex]

[tex]y=\frac{178.50}{11.90}[/tex]

[tex]y=15[/tex]

Point is (0,15).

Refer the graph attached below.

You are due a $750 paycheck at the end of the week (Friday), but want to get your hands on the cash on Monday. A payday lender offers to make this deal with you for a fee of 2% of the paycheck. What is the rate you are paying for this service? Assume a 365-day year.

Answers

Let R = rate, B = base and P = percentage

Use R = P/B

R = 0.02/750

Can you finish?

Assuming this is a simple discount note with a face value of $750, the interest that will be deducted is 2%*$750 = $15. Then the proceeds are $750 -15 = $735, and the effective annual rate is
.. 15/(735*(4/365)) ≈ 186.2%

what is the answer to 4d + 6 = 42

Answers

Hi there!


To solve 4d + 6 = 42, let's subtract 6 on both sides to isolate the variable.

4d + 6 = 42
       -6     -6
-----------------
       4d = 36

divide both sides by 4

        4d = 36
          d = 9

So your answer is d = 9.
Hope this helped!! :9
 4d + 6 = 42

Subtract 6 from each side
4d + 6 - 6 = 42 - 6
4d = 36

Divide each side by 4
4d ÷ 4 = 36 ÷ 4
d = 9

Maria wrote the equation log(x/2)+log(20/x^2)=log8. What is the solution to Maria's equation?
a. x=3/10
b. x=4/5
c. x=5/4
d. x10/3

Answers

The solution is x=5/4.

We use the properties of logs to rewrite the equation:
[tex]\log[(\frac{x}{2})(\frac{20}{x^2})]=\log8 \\ \\\log(\frac{20x}{2x^2})=\log8 \\ \\\log(\frac{10}{x})=\log8[/tex]

Get all of the logs on the same side of the equation y subtracting log 8:
[tex]\log(\frac{10}{x})-\log8=\log8 - \log8 \\ \\\log(\frac{10}{x})-\log8=0[/tex]

Use the properties of logs to rewrite:
[tex]\log(\frac{10}{x}\div8)=0 \\ \\\log(\frac{10}{x}\div\frac{8}{1})=0 \\ \\\log(\frac{10}{x}\times\frac{1}{8})=0 \\ \\\log(\frac{10}{8x})=0[/tex]

Exponentiate:
[tex]10^0=\frac{10}{8x} \\ \\1=\frac{10}{8x}[/tex]

Multiply both sides by 8x:
1*8x = (10/8x)*8x
8x=10

Divide both sides by 8:
8x/8 = 10/8
x = 10/8 = 5/4

Answer:

C. x=5/4

Step-by-step explanation:

Correct answer on edge 2022

Which polynomial represents the difference below? 7x8 + 8x6 - 2x + 9 - (4x8 + 3x7 + 3)

Answers

Use associativity and distributivity properties:
[tex]7x^8 + 8x^6 - 2x + 9 - (4x^8 + 3x^7 + 3)=(7-4)x^8-3x^7+8x^6-2x\\+(9-3)\\=3x^8-3x^7+8x^6-2x+6[/tex]
We are done. 

Consider the difference of polynomials [tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3).[/tex]

The first thing you have to do is take that "minus" sign through the parentheses containing the second polynomial (just change sign + to - and sign - to +):

[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=7x^8+8x^6-2x+9-4x^8-3x^7-3.[/tex]

Then combine terms with the same degree:

[tex]7x^8+8x^6-2x+9-4x^8-3x^7-3=(7x^8-4x^8)-3x^7+8x^6-2x+(9-3).[/tex]

Note that

[tex]7x^8-4x^8=(7-4)x^8=3x^8,\\ \\9-3=6.[/tex]

Thus,

[tex](7x^8 + 8x^6 - 2x + 9) - (4x^8 + 3x^7 + 3)=3x^8-3x^7+8x^6-2x+6.[/tex]

Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.

Answers

Final answer:

To sketch the region, find the intersection points and use them to form a triangle. The centroid is found by taking the average of the x and y values of the vertices.

Explanation:

To sketch the region bounded by the curves y=3x^3, x+y=4, and y=0, we first need to find the x-coordinates of the points where the curves intersect. Setting the equations equal to each other, we get 3x^3 + x = 4. Solving for x, we find x = 1. The region bounded by the curves is a triangle with the vertices (0,0), (1,0), and (1,3).

To find the coordinates of the centroid, we first find the x-coordinate by taking the average of the x-values of the vertices: (0 + 1 + 1)/3 = 2/3. Next, we find the y-coordinate by taking the average of the y-values of the vertices: (0 + 0 + 3)/3 = 1. So, the coordinates of the centroid are (2/3, 1).

Learn more about Region Bounded by Curves here:

https://brainly.com/question/35566091

#SPJ12

Jane goes to the fruit market every week. On Monday she buys 10 pears and 11 oranges for $10.05 By Friday she is out of fruit and goes back to the market to purchase 1 pear and one orange for $0.94 How much did Jane spend on 1 orange?

Answers

The answer may be 0.65, because 0.95(10)=9.40 and 10.05-9.40=0.65. I got the answer myself from yahoo 

Write the first four terms in the multiplication pattern given by the formula:

10 · 5n

Answers

we have that
an=10 * 5n---------------> an=50*n

then

for n=1
a1=50*1=50

for n=2
a2=50*2=100

for n=3
a3=50*3=150

for n=4
a4=50*4=200


the answer is
the first four terms are [50,100,150,200]



Warehouse area is 100 ft long, 200 ft wide and 16 feet high. The total weight the warehouse floor can hold is 4000 tons. What is the safe floor load in pounds per square foot?

Answers

The answer is 300 lbs per square feet

Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum number of refills that you can get?

Answers

$3.80 - $1.89 = $1.91

$1.91 ÷ $0.25 = 7 R 0.16

The max number of refills he can get is 7

given abcd ac = 22 and ae= 2x-5 find the value of x

Answers

the complete question in the attached figure

we know that
if AC=22
then AE=AC/2----------> 22/2----------> AE=11
so 
2x-5=11----------> 2x=16---------> x=16/2--------> x=8

the answer is x=8

The answer to this question is x=8... APEX

Lurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50 + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurnda pay if she orders 8 boxes of cards

Answers

Answer:

  $55

Step-by-step explanation:

Put 8 where n is in the equation and do the arithmetic.

  cost = $6.50·n + 3

  = $6.50·8 + 3 = $52 + 3

  cost = $55

s the data set “types of fruit at the grocery store” qualitative or quantitative? If it is quantitative, is it discrete or continuous?

Answers

discrete and quantitative is also correct so that makes it discrete

Answer:

Quantitative and discrete

Step-by-step explanation:

Given that the data set consists of types of fruit at the grocery stores.  We can see that the types of fruits at the grocery stores is countable.  i.e. we can have a one to one correspondence with type of fruits and natural numbers.  Hence the variable is discrete.

It will in numerical numbers so it is quantitative.

Put together we can say that  “types of fruit at the grocery store”

is a

i) quantitative variable

ii) discrete

Hector spent 3/4 of his money the day after he cashed his paycheck of $50. Let m represent the amount of money Hector spent.

Which equation matches the word problem?


How much money did Hector spend?

Answers

Answer:

3/4(50)=m and $37.50

Step-by-step explanation:

i just did it and got it right

The equation for this word problem is m = (3/4) * 50 and Hector spent $37.5 from his money.

Data;

Paycheck = $50Fraction spent = 3/4 of 50

What is an Equation?

This is a mathematical statement used to express word problem in order for us to solve it algebraically.

In this question, he spent 3/4 of his money.

His paycheck is $50 and the amount he spent is m

The equation to represent this will be

[tex]m = \frac{3}{4}* 50[/tex]

Let's simplify this and solve for m

[tex]m = \frac{3}{4} * 50\\m = \frac{3}{4}* 50\\ m = 75/2 \\m = 37.5\\[/tex]

Hector spent $37.5 from his money.

Learn more on word problems here;

https://brainly.com/question/21405634

Horatio weighs three times as much as Kimberly, and together they weigh a total of 95 kilograms. If h represents Horatio's weight, and k represents Kimberly's weight, which system of equations could you use to determine how much each weighs?

Answers

Final answer:

To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.

Explanation:

To determine how much Horatio and Kimberly weigh, we can set up a system of equations based on the given information. Let h represent Horatio's weight and k represent Kimberly's weight.

We are told that Horatio weighs three times as much as Kimberly:

h = 3k

We are also told that together they weigh a total of 95 kilograms:

h + k = 95

These two equations form a system of equations. We can solve the system by substituting the value of h from the first equation into the second equation:

3k + k = 95

Combining like terms, we get:

4k = 95

Dividing both sides by 4, we find:

k = 23.75

Substituting this value back into the first equation, we find:

h = 3(23.75) = 71.25

Therefore, Kimberly weighs 23.75 kilograms and Horatio weighs 71.25 kilograms.

Final answer:

The equations h = 3k and h + k = 95 can be used to determine the individual weights of Horatio and Kimberly. Solve for one variable and substitute to find the other.

Explanation:

The system of equations to determine how much Horatio and Kimberly weigh, given that Horatio weighs three times as much as Kimberly and together they weigh a total of 95 kilograms, can be represented by:

h = 3k (Horatio weighs three times as much as Kimberly)

h + k = 95 (Together, Horatio and Kimberly weigh 95 kilograms)

To solve for their individual weights, substitute the expression 3k for h in the second equation and solve for k. Once k is found, multiply it by 3 to find h. This process is part of addition in kilograms and uses equations to find the total sum of weights.

What is 500,000,115 written in standard form

Answers

isn't it already in standard form?

Determine which of these illustrates two quantities that combine to make 0. A) Latanya lost ten pounds and then gained six pounds. B) A business's profit if its income is more than its expenses. Eliminate C) It is twenty degrees below zero and then the temperature rises ten degrees. D) Marty gets ten dollars for his allowance and then spends ten dollars at the movies.

Answers

D; mart gets ten dollars for his allowance and then spends ten dollars at the movies

Which question is statistical?




How old is my grandmother?

What is the average age of my friends?

What are the ages of my friends' grandparents?

Where did you celebrate your last birthday?

Answers

The last three, I believe, are statistical.

Answer:

The answer is actually What are the ages of my friends grandparents. Trust me i took the test on k12.

Step-by-step explanation

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