Which equation represents the statement: Three times the sum of a number and 5 is –30?
3n + 5 = -30
3(n+5) = -30
n + 15 = -30
(n + 5) ÷ 3 = -30

Answers

Answer 1

Answer:

3(n+5)=-30

Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

So we get 3( n + 5 ) is -30

3(n+5)=-30 is the answer.

Answer 2

Answer:

[tex]3(n+5)=-30[/tex]

Step-by-step explanation:

1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.

2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].

3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].


Related Questions

Solve

-x + 4 = x + 6

Answers

Answer:

-1

Step-by-step explanation:

1. subtract 4 from both sides

-x = x+2

2. subtract x from both sides

-2x = 2

3. divide both sides by 2

simplify

x= -1

Hope this helps :)

1. A line that passes through the
points (4,1) and (8,3)

Answers

Answer:

If they want the slope, it is 4/2

Step-by-step explanation:

hey I need someone to help me

Answers

Answer:

A and F

Step-by-step explanation:

You plug in each one and see which ever one gets 20.

PLEASE ASAP HELPPPP PICK THEM ALL!!

Answers

Answer:

B

Step-by-step explanation:

a line with slope -2 passes through the point (-2,3). What is the equation of the line?

Answers

y=-2x+4 i believe is the answer

What is 6 3/4 percent of 800

Answers

Answer:

answer is 746.

have a nice day and do good in math

Find c
[tex]a+a=10\\a+b=35\\b-z=5\\z+a+b+c= 10[/tex]

Answers

C=-50 a=5 b=30 z=25

25+5+30+(-50)=10

Answer= -50

a= 5

b= 30

z= 25

c= -50

what is 10 divided by 8 equal?​

Answers

Answer:

it is equal to 1.25

Step-by-step explanation:

hope it's helpful

Answer:

Decimal:

1.25

Mix Number:

1 1/4

Improper Fraction:

5/4

Step-by-step explanation:

10/8 is 1.25

In fraction it is  1 1/4 or 5/4

Hope this helps!

Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?

Answers

well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.

[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]

Matthew Bailey, as manager of Designs by Bailey, is upgrading his CAD software. The high-performance (HP) software rents for $3,000 per month per workstation. The standard-performance (SP) software rents for $2,000 per month per workstation. The productivity figures that he has available suggest that the HP software is faster for his kind of design. Therefore, with the HP software he will need five engineers and with the SP software he will need six. This translates into a variable cost of $200 per drawing for the HP system and $240 per drawing for the SP system. At his projected volume of 80 drawings per month, which system should he rent?

Answers

Using linear functions, it is found that the high-performance system should be rented.

A linear function has the following format:

[tex]y = ax + b[/tex]

In which:

a is the slope, which is the variable cost.b is the y-intercept, which is the fixed cost.

With the high-performance software:

Fixed cost of $3,000 per month, hence [tex]b = 3000[/tex].Cost of $200 per drawing, hence [tex]a = 200[/tex]

Then, the model is:

[tex]C_{hp}(d) = 3000 + 200d[/tex]

With the standard-performance software:

Fixed cost of $2,000 per month, hence [tex]b = 2000[/tex].Cost of $240 per drawing, hence [tex]a = 240[/tex]

Then, the model is:

[tex]C_{sp}(d) = 2000 + 240d[/tex]

The costs for 80 drawings, that is, [tex]d = 80[/tex] for both cases are given by:

[tex]C_{hp}(80) = 3000 + 200(80) = 19000[/tex]

[tex]C_{sp}(80) = 2000 + 240(80) = 21200[/tex]

Due to the lower cost, the high-performance system should be rented.

A similar problem is given at https://brainly.com/question/20849340

i'll mark brainliest, thanks in advance!​

Answers

Answer:

SSS

Step-by-step explanation:

are 2 isosceles right triangles congruent, have both sides and angles equal, so the answers are all valid, the simplest is SSS, 2 sides are the same and marked on the drawing, the third is the same accordingly

Which value of x is a solution of the inequality?
​3x−3≥9

Answers

Answer:

It's probably X since X doesn't have a written number for it it equals 1.

Step-by-step explanation:

A car salesman earns a 3% commission on sales. If he sells a car for AED 75,990, how much the commission amount will he earn if he sells 4 cars?

Answers

Answer:

AED 9118.80

Step-by-step explanation:

to find out how much he earns for 1 car, multiply 75990 by 0.03 (3%). so the salesman earns 2279.70 per car sold. next, multiply this number by 4 to get the amount he earned for 4 cars: 9118.80

How much did i paint if i painted 3/4 of 3/4 of a wall

Answers

Answer:

(4) 1/4x = 3/4 (4)

1x=3

Step-by-step explanation:

3/4 x

÷ = ÷

1/4 1

(4) 1/4x = 3/4 (4)

1x=3

Second Graph problem! Can anybody please help me out with this? (Almost done for today) (Algebra graph problem)​

Answers

Answer:

  x = -2

Step-by-step explanation:

The expression f(x) = 1 corresponds to the point on the graph that is 1 unit above the x-axis. You can locate that horizontal line and see where it intersects the graph. That point of intersection  is 2 grid squares to the left of the y-axis, where x = -2.

  f(-2) = 1

  x = -2

debbie used 40% of her flour for
cookies she started with 24 cups how many cups did debbie use?

Answers

Answer:

24 x 40% = 9.6

Step-by-step explanation:

the answer is Lil Debbie™ 9.6 cup used.

Guys I really need some help with this one!

If anybody could help me out here I would be incredibly grateful! (Simple algebra problem involving functions)

Answers

Answer:

f( 1 ) = 3

Step-by-step explanation:

Given the linear function, f(x) = -4x + 7, we could easily find f( 1 ) by substituting the value of the input, x = 1, into the function.

f(x) = -4x + 7

f( 1 ) = -4( 1 ) + 7

f( 1 ) = -4 + 7

f( 1 ) = 3

Therefore, the output value is f( 1 ) = 3.

A tin of paint costs £4.87. Helen buys 19 tins of paint. Work out an estimate for the total cost.

Answers

Answer:

100 Estimate

Step-by-step explanation:

Closest To 4.87 Is 5

Then 19 Is close to 20

So, then 5*20=100.

What fraction of the rectangle is shaded? PLS PLS PLS help ASAP! Ty

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the total area of the rectangle:

21 x 12 = 252

Half of the rectangle is unshaded so:

252 ÷ 2 = 126

For clarification, side A is the top, side B is the left hand side and side C is the bottom.

Now, find the area of the unshaded side of the other triangle. As the length of side C is 21 and the shape is a rectangle, side A is also 21. We need to calculate the amount is unshaded on this side so:

21 - 14 = 7

(7 x 12) ÷ 2 = unshaded

84 ÷ 2 = 42

So now we know the total of the shape that is shaded, we can now subtract this from the total area of the shape:

252 - 126- 42 =   84

Which in fraction form is:

[tex]\frac{84}{252}[/tex]

This can be simplified down by dividing both the numerator and the denominator by 3:

[tex]\frac{84 \div 3}{252 \div 3}[/tex]

=[tex]\frac{1}{3}[/tex]

Hope this helps!

a. Does it take more cups or gallons to measure the amount of water in a large
a
pot? Explain.

Answers

Answer:

More cups

Step-by-step explanation:

Cups are a smaller measuring unit than gallons are. Therefore it would take more cups than gallons to fill a pot.

Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A. y=275-6x
B. y=275+6x
C. y=6x-275
D. y=275x-6

Answers

Answer:

d because your taking away 6 from the 275

Step-by-step explanation:

If (x + 4) is a factor of f(x), which of the following must be true?

Group of answer choices

f(-4) = 0

Neither x = -4 nor x = 4 are roots of f(x).

Both x = -4 and x = 4 are roots of f(x).

f(4) = 0

Answers

f(-4) = 0

Here, we replace x with -4. In doing so, we see that (-4+4) is indeed 0, making this the correct answer.

The next two choices are incorrect since only -4 is a root of f(x), as explained above (a root occurs when the function equals zero when plugging in that “root”).

The last answer is incorrect since plugging in 4 will get f(4)=8.

In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 16.9 kilogram. What was the puppy’s weight increase?.

Answers

16.9 minus 13 equals to 3.9 increase

Answer:

3.9

Step-by-step explanation:

16.9 take away 13 and you get 3.9 kilograms

Please take a look at the picture

Answers

Answer:

D

Step-by-step explanation:

-6-(-5)=-6+5

         =-1

Answer:

D) The number that is 5 to the right of -6 on the number line

Hope this helps :)

if f(x) = 7(x-1) + 8 , what is rhe value of f(11) ?​

Answers

Answer:

f(11)=78

Step-by-step explanation:

f(11)=7(11-1)+8

f(11)=77-7+8

f(11)=78

Answer:

F(11) = 78

Step-by-step explanation:

f(11) means that you would just have to replace “x” on the equation with 11 and then solve;

=> f(11) = 7(11 - 1) + 8

=> f(11) = 7(10) + 8

=> f(11) = 70 + 8

=> f(11) = 78

therefore the answe is 78

Hope this helps!

Answer the following questions,
0
(a) What number is 95% of 80
0
(b) 85% of what is 51?

Answers

Answer:

95% of 80 is 76 and 85% of 60 is 51.

Step-by-step explanation:

Answer:

a. 76,  b. 60.

Step-by-step explanation:

a)  80 * 0.95 = 76.

b)   0.85 x = 51

x = 51/0.85 = 60.

Judy is looking to buy a textbook. The book normally costs $75.82, but it is on sale for 35% below
the regular cost. How much will the book cost before taxes if Judy is to buy it while it is on sale?
Round to the nearest cent.

Answers

Answer:

$49.28 is the sale cost.

Step-by-step explanation:

0.35 x 75.82 = 26.537

75.82 - 26.537

= 49.283 and round

The selling cost of the book will be equal to $49.28.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Judy is looking to buy a textbook. The book normally costs $75.82, but it is on sale for 35% below the regular cost.

The selling cost of the book will be calculated as,

Selling Cost = 0.35 x 75.82 = 26.537

Selling Cost  = 75.82 - 26.537

Selling Cost  = 49.283

To know more about an expression follow

https://brainly.com/question/2222681

#SPJ2

can someone please help me with my last question?

answer choices are -165, -120, 165, 120

Answers

Answer:

120

Step-by-step explanation:

If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).

A table is on sale for 32% off. The sale price is $459.
What is the regular price?

Answers

the regular price is "x", which of course is the 100%, but we also know that $459 is 32% off that, hmmmmm well 100% - 32% = 68%, so $459 is really 68% of "x", because $459 is whatever "x" is minus 32%.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 459&68 \end{array}\implies \cfrac{x}{459}=\cfrac{100}{68}\implies \cfrac{x}{459}=\cfrac{25}{17} \\\\\\ 17x = 11475\implies x = \cfrac{11475}{17}\implies x = 675[/tex]

$675 is the regular price. $459 is 68% of the original price. (100-32=68). To find the original price you would do 459 divided by 0.68 and would get 675. To check that you would do 675 times 0.68 and would get 459. I hope this helps

The chief engineer is in charge of deciding the mountainous road-network that will be kept open (cleared of debris and maintained regularly) during the winter months. Each road connects different small towns in the mountains, and all towns are connected to each other either directly or indirectly. Each road is associated with a value indicating the level of danger in maintaining that road during winter months. There are many subsets of roads such that the roads in such subsets keep the towns connected directly or indirectly. Each subset is assigned a cost of maintenance, which is directly proportional to the highest danger level of the road present in that subset. The engineer wants to select the smallest subset that keeps the towns connected directly or indirectly and that also has the lowest cost of maintenance. Develop an algorithm to find such a subset. Justify the correctness of your algorithm and derive its runtime.

Answers

Answer:

I dont know the answer to it

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