expand and simplify 5(2-1)+2(3x-6)

Answers

Answer 1

Answer:

6x-7

Step-by-step explanation:

Answer 2

Answer:

[tex]6x - 7[/tex]

Step-by-step explanation:

1) Simplify 2-1 to 1.

[tex]5 \times 1 + 2(3x - 6)[/tex]

2) Simplify 5 × 1 to 5.

[tex]5 + 2(3x - 6)[/tex]

3) Expand by distributing terms

[tex]5 + 6x - 12[/tex]

4) Collect like terms.

[tex]6x + (5 - 12)[/tex]

5) Simplify.

[tex]6x - 7[/tex]

So, therefor, the answer is 6x - 7.


Related Questions

Write an equation for expense (blue line)


I would really appreciate if someone helped me I'm not understanding this.

Answers

Answer:  y = 0.0005x+1

This is the same as saying y = (1/2000)x + 1

===============================================================

Explanation:

The blue line goes through (0,1) and (2000,2)

The slope is

m = (y2-y1)/(x2-x1)

m = (2-1)/(2000-0)

m = 1/2000

This says that each time we move up 1, we move to the right 2000 units.

Think of it as slope = rise/run = 1/2000

The slope 1/2000 means that each time you make 2000 soccer balls, it will cost you $1000. Keep in mind that y is in thousands (eg: y = 1 means 1000). This further implies that the marginal cost is ($1000)/2000 = $0.50 = 50 cents. The marginal cost is the cost to make one extra unit.

The fraction 1/2000 converts to the decimal form 0.0005 after using a calculator. So m = 0.0005 is the decimal form of the slope.

The y intercept of the blue line is b = 1 as this is the location where the blue line crosses the vertical y axis. The y intercept represents the fixed costs needed to set up production, for example: buying the machinery needed is a fixed cost.

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

Since m = 0.0005 and b = 1, we go from y = mx+b to y = 0.0005x+1

We could say y = (1/2000)x + 1, though I think it's probably easier to use a decimal in this case.

-40x = 16x2 + 38
Need the steps to solve this please

Answers

Answer:

-1.25  ± 0.90i  correct to the nearest hundredth

Step-by-step explanation:

-40x = 16x2 + 38

16x^2 + 40x + 38 = 0    Simplify by dividing by 2:

8x^2 + 20x + 19 = 0

Using the quadratic formula:

x = [ -b  ±√(b^2 - 4ac) ] / 2a

Plug in the coefficients of our equation:

x = [ -20 ±√(20^2 - 4*8*19) ] / 2*8

=  -5/4  ± √(-208)/16

= -5/4 ± 14.4222i/16

= -1.25  ± 0.90i  correct to the nearest hundredth.

Find the size of angle X.

Answers

Answer:

Because the sum of the interior angles of a triangle is 180,

X=180-(65+35)

X=180-100=80

Construct a probability distribution for the data.
7. The probabilities that a patient will have blood drawn 0,1,2, or 3 times in a visit are 6/15, 5/15, 3/15, and 1/15, respectively.

Answers

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1

what is the volume of a sphere with a diameter of 6.3 rounded to the nearest tenth

Answers

The answer is 4.................

Answer:

Volume of sphere = 130.9cm³

Step-by-step explanation:

Formula :

[tex] \frac{4}{3} \times \pi \: \times r^{3} [/tex]

We need the radius. 6.3 ÷2=3.15

[tex] \frac{4}{3} \times \pi \times 3.15 ^{3} [/tex]

=130.924303cm³

rounded to the nearest tenth

=130.9cm³

70 pointsss for the correct answer

When the function f(x) is divided by 4x−5, the quotient is 3x^2 −x+3 and the remainder is −2. Find the function f(x) and write the result in standard form.

Answers

Answer:

f(x) = 12x³ - 19x² + 17x - 17

Step-by-step explanation:

We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.

We're given a denominator of 4x - 5

a quotient of 3x² - x + 3

and a remainder of -2

so the original numerator is:

(4x - 5)(3x² - x + 3) - 2

= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2

= 12x³ - 19x² + 17x - 17

Let's test that by dividing it by 4x -5 with long division:

[tex]\ \ \ \ \ \ \ \ \ \ 3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\ \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R[/tex]

That matches, so we know our answer's right, and:

f(x) = 12x³ - 19x² + 17x - 17

on Encircle the letter of the correct answer.
1. What is the abbreviation of pint?
2. What is the abbreviation of quart?
b.pt
c. pn
b.pt
C. ut
3. What is the equivalent of 2 teaspoons into ml?
b. 20ml
b. 15ml
c. 10ml
c. 9
4. What is the equivalent of 1 Tablespoon into teaspoon?
a. 3
b. 6
5. How many gallon in 4 quart?
b. 4
b. 3
6. How many gallon in 1 pint?
a. 1/2
b. 1/3
c. 1/4
7. How many ounces in 1 pound?
c. 2
b. 16
b. 10
8. How many dozen in 72 pieces?
c. 5
a: 1
c. 6
b. 3
9. How many fluid oz. in 1 cup?
b. 13
b. 10
10. What is the abbreviation of Pound?
c. 8
alb
b. ml
c. kg​

Answers

Abbreviation of pint: pt
Abbreviation of quart: qt
What is equivalent of 2 teaspoons into ml: 9ml
What is equivalent of 1 Tablespoon: 3
How many gallon in 4 quart: 1 us liquid gallon.
How many gallon in 1 pint: 0.125 us liquid gallon.
How many ounces in 1 pound: 16
How many dozen in 72 pieces: 6 dozen
How many fluid oz. in 1 cup: 8 us fluid ounces.
What is abbreviation of Pound: alb.
Hope this helps! =D

Write an equation that has an a-value of -2, a b-value of 1, and a c-value of 3.

Answers

Answer:

23

ewr

Step-by-step explanation:

PLEASE HELP what does r equal to?

Answers

Answer:

R=15 1/6

Step-by-step explanation:

You can add 5 and 1/6 to each side so -5 1/6+5 1/6= 0 so it cancels out therefore on the other side of the equal side you add 5 1/6+10 to get 15 1/6.

Answer:

r=25

Step-by-step explanation:

i did the test lol

Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.

Answers

Answer:

2 [tex]\frac{1}{20}[/tex]

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 [tex]\frac{1}{4}[/tex] = 7x4 + 1 = 29

Thus, improper fraction would be [tex]\frac{29}{4}[/tex]

do same thing  for other one

thus , [tex]\frac{26}{5}[/tex]

now,

[tex]\frac{29}{4}[/tex] - [tex]\frac{26}{5}[/tex]

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

[tex]\frac{145}{20} -\frac{104}{20}[/tex] = [tex]\frac{41}{20}[/tex]

convert back to mixed number

2 [tex]\frac{1}{20}[/tex]

Answer:

Step-by-step explanation:

a) Step1 : write in improper form

Step 2 : Find least common denominator

Step 3: Find equivalent fractions and then subtract

[tex]7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\[/tex]

            [tex]= \frac{29*5}{4*5}-\frac{26*4}{5*4}\\\\=\frac{145}{20}-\frac{104}{20}\\\\=\frac{145-104}{20}\\\\=\frac{41}{20}\\\\=2\frac{1}{20}[/tex]

b) Keep Change Flip method

[tex]4\frac{1}{4}[/tex] ÷ [tex]2\frac{1}{5} = \frac{17}{4}[/tex] ÷ [tex]\frac{11}{5}[/tex]

            [tex]=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}[/tex]

Help I will be marking brainliest!!!

A. 18√3
B. 56√3
C. 36√3
D. 56

Show work, if possible. Thanks❤️

Answers

Answer:  A.  18*sqrt(3)

=============================================

Explanation:

We'll need the tangent rule

tan(angle) = opposite/adjacent

tan(R) = TH/HR

tan(30) = TH/54

sqrt(3)/3 = TH/54 ... use the unit circle

54*sqrt(3)/3 = TH .... multiply both sides by 54

(54/3)*sqrt(3) = TH

18*sqrt(3) = TH

TH = 18*sqrt(3) which points to choice A as the final answer

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

An alternative method:

Triangle THR is a 30-60-90 triangle.

Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.

The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.

Now use the pythagorean theorem

a^2 + b^2 = c^2

(TH)^2 + (HR)^2 = (TR)^2

(x)^2 + (54)^2 = (2x)^2

x^2 + 2916 = 4x^2

2916 = 4x^2 - x^2

3x^2 = 2916

x^2 = 2916/3

x^2 = 972

x = sqrt(972)

x = sqrt(324*3)

x = sqrt(324)*sqrt(3)

x = 18*sqrt(3) which is the length of TH.

A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.

Robin read 63 books last year. She read 9 more books than
Trisha. The equation b + 9 = 63 gives the number of books b
that Trisha read last year. Which is the solution of the
equation?

Answers

Answer: 54

Step-by-step explanation:

63-9 you can't take 9 away from 3 so you must borrow, the 6 becomes a 5 and the 3 becomes 13. 13-9 is 4, bring the 5 down and you have 54.

PLEASE HELP ME!!!! I WILL MARK!!!!!!! COME ON.

Answers

Answer:   f(x) = x + 13

This is the same as y = x+13

=============================================================

Explanation:

Let's find the slope

I'll use the first two rows as the (x1,y1) and (x2,y2) points

m = (y2-y1)/(x2-x1)

m = (19-18)/(6-5)

m = 1/1

m = 1

The slope is 1.

Now apply the point slope formula and solve for y

y - y1 = m(x - x1)

y - 18 = 1(x - 5)

y - 18 = x - 5

y = x-5 + 18

y = x + 13

f(x) = x + 13  is the final answer

As a check, note how something like x = 5 leads to...

f(x) = x+13

f(5) = 5+13 ... replace x with 5

f(5) = 18

We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.

The equation y = x+13 has slope 1 and y intercept 13.

Help out a young degenerate

Answers

B. 106 cuz that’s what the internet said
The correct answer is B hope this helped

PLEASE HELP ILL GIVE BRAINLYIST
In the first year of an annual 5k run there were 120 participants. In the 2nd and 3rd year of the 5k run, there were 180 and 270 participants respectively. Write the function to best represent the scenario.

Answers

i dunno I need the points tho yuhhhhh

PLZZ HELP find the area of the triangle QRS?

Answers

Answer:

180 is the answer

Step-by-step explanation:

Step-by-step explanation:

To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)

Then multiply 12 times 15 to find out the area

15 x 12= 180

what do you mean CDEF

and can I get brainliest?

Iyanna and her family took a three-day trip. They drove 178 miles on the first day, 188 miles on the second day, and 163 miles on the third day. If the entire trip took 8 hours, what was the average driving speed?

Answers

Answer:

62 mph

Step-by-step explanation:

yea... pls help me pls!

Answers

Answer:

960

Step-by-step explanation:

12x10x16=1920

1920/2=960

The answer should be 960cm^3

Find the Area ( PLEASE LEAVE EXPLANATION)

Answers

Answer:

28 ft²

Step-by-step explanation:

Hello There!

To solve for the area of an irregular shape we want to split the irregular shape into regular shapes

For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)

now we can easily solve for the area of each individual shape

area of square -

the area of a square can simply be found by raising the side length to the power of 2

so

[tex]a =2^2\\2^2=4\\a=4ft^2[/tex]

so we can conclude that the area of the square is 4ft^2

Now we want to find the area of the rectangle

the area of a rectangle is simply equal to the width times the length

so

[tex]a=6*4\\6*4=24\\\\a=24ft^2[/tex]

so we can conclude that the area of the rectangle is 24ft^2

Finally we add the two areas together

24 + 4 = 28

thus meaning the area of the irregular figure is 28 ft²

Help me solve this problem please

Answers

Ill try though

Step-by-step explanation:

my dude search it up?


Calculate an
8% tax on an
$80 tablet.

Answers

$6.40 is 8% of 80 mark brainliest please

Answer:

$6.40

Step-by-step explanation:

All you have to do is find 8% of 80 dollars. That means you do 8/100x80/1 which is equal to 32/5. Simplify this improper fraction to get $6.40. This means that 8% of 80 is $6.40.

Which are vertical angles?

AngleAFE and AngleBFD
AngleBFC and AngleDFE
AngleAFE and AngleCFD
AngleBFC and AngleEFA

Answers

Answer:

Its A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

IM doing the test

Someone help me it’s timed !!

Answers

Answer:

Alternative exterior angles --> <1 and <7

Corresponding angles --> <2 and <6

Alternative Interior angles --> <3 and <5

Hope this helps and stay safe, happy, and healthy, thank you :) !!

The difference of a number and 4/ 3 is 11/3. what is the number

Answers

Answer:

5

Step-by-step explanation:

15/3 - 4/3 = 11/3

15/3 = 5

The difference of a number 5 and 4/ 3 is 11/3.

What is subtraction of fractions?

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, the difference of a number and 4/ 3 is 11/3.

Let the unknown number be x.

Here, x-4/3 =11/3

x= 11/3+4/3 (Transpose 4/3 to RHS of the equation)

To add like fractions, add the numerators and keep the denominator same. That is

x= 15/3

x=5

Therefore, the unknown number is 5.

To learn more about the subtraction of fractions visit:

https://brainly.com/question/5220474.

#SPJ2

please help!!

55% of students say chocolate is their favorite ice cream flavor. If 88 students said chocolate is their favorite ice cream flavor, how many total students were surveyed?

Answers

Answer:

160

Step-by-step explanation:

total = 100%

we know,

55 % of total = 88

or, 55/100 * total = 88

so total = 160

• Saphia is organising a conference.
People at the conference will sit at circular tables.
Each table has a diameter of 140 cm.
Each person needs 60 cm around the circumference of the table.
There are 12 of these tables in the conference room.
A total of 90 people will be at the conference.
Are there enough tables in the conference room?

Answers

Answer:

No

Step-by-step explanation:

A construction worker is placing rivets in a new bridge. He uses 42 rivets to build the first 32 feet of the bridge. If the bridge is to be 2200 feet in length, predict the number of rivets that will be needed for the entire bridge.​

Answers

Answer:

42 rivets=32ft of the bridge

1 ft of the bridge =42/32 rivets

2200 ft of the bridge =42/32×2200=2887.5

2887 and half

rivets that will be needed for the entire bridge.

heeelelppppppp it is area of a circle help me plz i will make you the brillientest

Answers

18.84 I think you have to do the math from the radius to the edge of the circle

how many cups of each were sold

Answers

Answer:

how many cups of what were sold

Step-by-step explanation:

??????????????

WHAT IS THE ANSWER PLEASE HURRRRYYYYY

Answers

Answer:

1238

Step-by-step explanation:

hindi ko alam ask mo nalang sa mama mo hahaha baka sakaling alam niya yung sahot na tinatanong mo hahaha

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A day at the spa costs $125. You leave a 20% tip. How much tip did you leave? A rectangular prism has a length of 5 centimeters, a height of 6 centimeters, and a width of 9 centimeters. What is its volume, in cubic centimeters?Please help :( Pls help me with the graph , the choices are below How are fossil fuels formed from geologic processes? . In what two Kansas cowtowns did Wyatt Earp serve as a lawman a basketball player made 62 out of 100 attempted free throws. what percent of free throws was made? what is 6 divided by 1,932 4. Find the following function values. (3)/ (3) ( (2)) f(f'(-4)) g(x+2) HELP!!!!! See attached! Solve the inequality A car traveling at 72 kilometers per hour. Find the cars speed in one meter per second? The physical process that leads to a reduction in the amount of arable land and crop output is __________. pls help will give brainliest TRUE OR FALSE 2. Somnambulism is a psychologically induced altered state of consciousness.3. Unconscious information processing occurs simultaneously on many paralleltracks.4. Your subconscious mind is just the "tip of the iceberg" according to psychologistslike Sigmund Freud. HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS Will give brainiest to whoever answers correctly and I will make this question worth a lot of points what are the two main types of chemical bonds? PLEASE HELP, CORRECT ANSWER GET BRANiliest Juan and Carol were studying invertebrates in biology. They knew that segmented or earth worms preferred a dark, moist habitat. During this lab, they would be investigating the responses of organisms called planaria or Dugesia tigrina. These were simple flatworms that still had a one-way digestive system and a very simple nervous system. Juan and Carol placed the planaria in a petri dish containing cool, distilled water that was partially covered with black paper. They shined a light on the dish. Next, they removed the paper and placed a small amount of chicken liver at one end of the dish. They added a few large salt crystals to the water. Finally, they added drops of hot water to the cool water in the petri dish. Their results can be seen in the data table. According to their experiment, all BUT one conclusion is valid. A) Planaria are a fresh-water organism only. B) Planaria are consumers and may be carnivores. C) Planaria have specialized cells to detect light intensity. D) Planaria have specialized cells that detect temperature change. answer and you get all my points plzzz Select all expressions that are equivalent to 3x 9A. -3(x+3)B. 3(x+3)C. 3(-x - 3)D. -3(x-3)E. 3(x-3)