Expand the following expression - 2(3x-7)

Answers

Answer 1

Answer:

-6x+14

Step-by-step explanation:

Simplemente debes

multiplicar


Related Questions

Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.

Answers

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

how do i find a slope

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Answer:

To the find slope in slope-intercept form (y=mx+b) you just find the m of the equation for example: y=4x+8 the 4 is the slope since it is replacing the m

To find the slope in two points (x1,y1) (x2,y2) follow this formula

y2-y1/x2-x1

For example: Find the slope of (4,9) and (9,19)

19-9/9-4 Which is 10/5 simplify: 2

The slope is 2

Step-by-step explanation:

The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how
many people there are in total.

Answers

Answer:  72 people total

45 boys, 27 girls

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

Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

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

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

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

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

The people there are in total of 72 students

Let the ratio of boys to girls be 5x: 3x

The ratio of boys to girls in a group is 5:3.

What is the formula?

no. of boys = 18 + no. of girls

=> 5x = 18 + 3x

=> 5x - 3x = 18

=> 2x = 18

=> x = 18/2

x= 9

No. of boys = 5x

No. of boys= 5 × 9

No. of boys= 45

No. of girls = 3x

No. of girls= 3 × 9

No. of girls= 27

Total = 45 + 27

Total= 72

Hence, there are 72 students there.

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Write three hundred eighty-seven thousandths as a decimal number.

Answers

Answer:

0.387

Step-by-step explanation:

Answer:

The answer would be 0.387

Of those who like to fish, what percent are ages 13-18?

Answers

Answer:

B.) 42.9

Step-by-step explanation:

The percent that we are trying to find out is 12/28

I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)

Anyways 12 divided by 28 = 42.857etc.

If we simplify this then that gives us our answer of B.) 42.9

B. 42.9%
trust me it’s right

Solve:
3х + y =
5x-7
when , y = 5
Show
your work

Answers

Answer: x=6

Step-by-step explanation:

Hope this helps

express in exponential form 200×75​

Answers

Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

60 POINTS!!!!

Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?

Explanation would be appreciated!

Answers

Let r represents our age, m mother's age, f father's age. If mother is 25 years older than us, I+ 25 = m

If father is 3 years older than mother,

m +3 = f

The product of all three ages is 32130:

I-m.f = 32130

Substitute m with r+ 25:

m+3 =f r+ 25 + 3 = f r+ 28 = f

Substitute now f and m:

I- m.f = 32130 x(x+ 25)(x + 28) = 32130 (a2 + 25x)(x + 28) = 32130 3 + 28r2 + 25r + 700r = 32130 3 + 53r2 + 700r = 32130

Subtract 32130 from each side 3 + 53? + 700r – 32130 = 0

On the graph we can see that the only real solution is 17. > x = 17 m = 25 + 17 m = 42 f = m + 3 f = 42 + 3 f =|45

Our age is 17, Mother's age is 42 and father's age is 45.

Father’s age is 45

( sorry I know it’s too long but hope it helps )

My father is 42 years old as obtained from the cubic polynomial's real root.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

let my age be x years.

So, My mother is (x + 25) and my father is (x + 28) years.

{x(x + 25)(x + 28) = 32130.

(x² + 25x)(x + 28) = 32130.

x³ + 53x² + 700x = 32130.

x³ + 53x² + 700x - 32130 = 0.

Now solving this has only one real solution x = 17.

So, My father is (17 + 25) = 42 years old.

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Which net represents this solid figure?

Answers

Answer:

The 3rd one

Step-by-step explanation:

Answer:

The second net.

Step-by-step explanation:

James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?

Answers

Answer:

22 bags

Step-by-step explanation:

Multiply 5 1/2 by 4 and you'll get 22

Answer:

22 bags

Step-by-step explanation:

5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4

The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?

Answers

Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.

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Tony made a scale drawing of his living room. The scale drawing has a length of 5 inches and a width of 3 inches. If the living room has an actual length of 12 feet, which equation could be used to determine w, the width of the living room?

Answers

Answer:5w=36

Step-by-step explanation:

Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm​

Answers

The area of the triangle ABC is 34.2 square centimeters

How to determine the triangle area?

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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3n + 8 = 53
I don’t understand how to find the n

Answers

Answer:

n=15

Step-by-step explanation:

subtract 8 from both sides to get 3n=45

divide both sides by 3 to solve for n to get n=15

Answer:

n = 15

Step-by-step explanation:

3n + 8 = 53

the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting

3n = 45

next step, we are going to isolate the n by dividing by 3 on both sides of the equation

3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer

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64 ) البد قسوا على انتاج بحیک دمكم كل وين ما
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از اعلم ان الكلامير الظلموا من هددي تامالت
على الساعة min
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رد لة نداره ؟
3
1ho 5 min å hull the​

Answers

yep yep yep yep yep yep

Answer:

you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way

Step-by-step explanation:

thank for the info

Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 1, find tan ∠A.

Answers

The value of tan∠A form the right angled triangle ABC is 1.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:

tan∠A = (tan∠B)⁻¹ = 1

The value of tan∠A form the right angled triangle ABC is 1.

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Frederick's brother is going on a hike. He has his backpack filled with supplies. His backpack weighs 400 ounces. How many pounds is Frederick's backpack? Note: 1 pound = 16 ounces​

Answers

Answer:

25

Step-by-step explanation:

Do 400 divided by 16 to convert to pounds

400/16=25

Hope this helped :)

Answer:

25 pounds

Step-by-step explanation:

1 Pound=16 ounces

? Pounds=400 ounces

400 divided by 16=25

25 pounds=400 ounces

can someone help meeee

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Tell me ASAP plz!! Btw Patsy’s Pasta house uses 3/4 of a cup of sauce for every 12 ounces of pasta...good luck

Answers

Answer:

4/6

Step-by-step explanation:

51^7 -51^6 by 25
__*25

Answers

Answer:

Step-by-step:

51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)

50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.

pls hurry will give brainliest

Answers

Answer:

Step-by-step explanation:

6(k + 2) + 1 = 13 (distribute 6 around the k+2)

6k + 12 + 1 = 13 (add 12 and 1)

6k + 13 = 13 (subtract 13 from both sides)

6k = 0 (divide by 6)

k = 0

Answer:

6( k + 2 ) + 1 = 13

6k + 12 + 1 = 13

6k + 13 = 13

6k = 0

k = 0/6

so it will 0

m∠R=140 and m∠S=100. Find the m∠T. The diagram is not on the scale.

Answers

Answer:

m<T = 20°

Step-by-step explanation:

m<R = 140°

m<S = 100°

The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:

m<S = m<U = 100°

Sum of all interior angles of a quadrilateral = 360°

Therefore:

m<T = 360° - (m<S + m<U + m<R)

m<T = 360° - (100° + 100° + 140°) (substitution)

m<T = 20°

PLEASE HELP PLESAE!!!!!!
Evaluate the expression when b=6 and y =-7

-b+9y

Answers

Answer:

-69

Step-by-step explanation:

Midsegment- Find x (x+10)(x+2)

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]

Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
4%
?
The sales tax is $
The total cost is $​

Answers

Answer:

Tax = $2.00, cost of item = $52.00

Step-by-step explanation:

Multiply 50(.04) = $2.00, then add $50 + $2 = $52

Answer:

Sales tax 2.00, Total cost=52.00

Step-by-step explanation:

50 x .04=2 sales tax

50+2=52 total price

Please help!!! Thank you so much!!

Answers

Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

Please help 3/4
Solve the binomial
(2ab-3c)(2ab+3c)

Answers

Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

find a number whose 6 1/4% is 12​

Answers

Answer: The number is 192

Step-by-step explanation:

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.

Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answers

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

 

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

got it right on ed

f (x) = 13[tex]\sqrt[3]{x}[/tex] power function yes or no
if yes where is k and p

Answers

Answer:

f =

x = 13 = x

k = x

p = x

Step-by-step explanation:

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