Simplify the expression:

4(x + 3) + 3(5 – x)

Answers

Answer 1

Let's simplify step-by-step.

4(x+3)+3(5−x)

Distribute:

=(4)(x)+(4)(3)+(3)(5)+(3)(−x)

=4x+12+15+−3x

Combine Like Terms:

=4x+12+15+−3x

=(4x+−3x)+(12+15)

=x+27

Answer: x+27


Related Questions

in the sequence 80, 64, 48, 32, ..., what number should come next?
a) 96
b) 14
c) 31
d) 16

Answers

(b) sixteen is the answer

Answer:

16 should come next

Step-by-step explanation:

First, determine the rule

N, decreases by 16. We know this because 80-64 is 16, 64-48 is 16, 48-32 is 16, and so forth.

Therefore, subtract 16 from 32 to receive 16

find the value of given expression

[tex] \sqrt{440 + 1} [/tex]

Answers

Answer:

21

Step-by-step explanation:

[tex] \sqrt{440 + 1} \\ = \sqrt{441 } \\ = 21[/tex]

Consider the pair of triangles given below. If MPN ~ XYZ then the length of side PN is?

Answers

Answer:

the answer should be 9, im not sure tho I vaguely remember this

Please help and make sure you get it right.

Answers

Answer:

Both 1 and 2

Step-by-step explanation:

Can someone explain what the GFC is to me pls. Step by step explanation.

Answers

Answer:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Step-by-step explanation:

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.

Answer:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Step-by-step explanation:

Example: 6,8,20

6-1,2,3,6

8-1,2,4,8

20-1,2,4,5,20

GCF is 2

Find the area of the circle. 9mm.​

Answers

Step-by-step explanation:

The answer is 254.57142857

I NEED HELP ASAP BEFORE MARCH 26
Find the Value of x

Answers

Answer:

100 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees, so,

45+35=80

180-80=100

hope this helps!!!

100
hope this helps :)

DUE SOON PLEASE HELP

Answers

Answer:

Im pretty sure its 114 m^2 sorry if im wrong

Answer:

The total surface area of the figure would be 114m.

solve each system by substitution y=2x-1. 3x+8y=11

Answers

Since 8+3 already equals 11, x=1 and y=1

Answer:

x=1, y=1

Step-by-step explanation:

Sub y=2x-1 into 3x+8y=11

3x+8(2x-1)=11

3x+16x-8=11

19x=11+8

19x=19

x=1

Sub x=1 into y=2x-1

y=2(1)-1

y=2-1

y=1

Helppppppp...?????????????????????

Answers

Answer:

144(3/4)^1-n

Step-by-step explanation:

This is a geometric sequence, so if you divide 192 by 144 you will find that the common ratio r is 4/3. This would make the equation an=144(4/3)^n-1. However, that's not one of the options. If you plug in some numbers, you can see that 3/4 (the reciprocal of 4/3) can work as well if it's 3/4^1-n. 4/3^-1=3/4 and n-1(-1)=1-n

HELP MARK BRANLIEST AND ALSO POINTS

Answers

Answer:

25 rides

Step-by-step explanation:

has $28.50

15.75 + 0.50r [tex]\leq[/tex] 28.50

Subtract 15.75

0.50r [tex]\leq[/tex] 12.75

r [tex]\leq[/tex] 25.5

you can't have half rides, so 25 rides

A middle school has 500 students. A survey was given to 50 randomly selected students, and 25 said they would buy fresh fruit in the cafeteria if it were offered. How many students all together could be expected to buy fresh fruit from the cafeteria if it were offered?

Answers

Answer:

250

Step-by-step explanation:

If they asked 50 people, and 25 said yes, that means you could excpect about 50% to buy fresh fruit, or 250 out of 500.  500/2=250

Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.

Answers

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]



For which value of x must the square root

97x

be further simplified

Answers

Question:

For which value of x must the expression √97x be further simplified?

A. 5    B. 10     C. 15     D. 20

Answer:

[tex]D.[/tex]  [tex]x = 20[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{97x[/tex]

Required

For what value of x can it be simplified

From the list of options, only (D) is correct

D. 20

Substitute 20 for x in [tex]\sqrt{97x[/tex]

[tex]\sqrt{97 x} = \sqrt{97 * 20}[/tex]

Express 20 as 4 * 5

[tex]\sqrt{97 x} = \sqrt{97 * 4 * 5}[/tex]

Reorder

[tex]\sqrt{97 x} = \sqrt{4 *97 * 5}[/tex]

Split

[tex]\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}[/tex]

[tex]\sqrt{97 x} = 2*\sqrt{97 * 5}[/tex]

[tex]\sqrt{97 x} = 2*\sqrt{485}[/tex]

[tex]\sqrt{97 x} = 2\sqrt{485}[/tex]

With other values of x, the given expression can not be simplified.

Hence:

[tex]x = 20[/tex]

There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .

Answers

Answer:

34 because 50 percent of 68 is 34

Answer:

There are 34 red marbles in the bin

Step-by-step explanation:

50% is basically 1/2. So half of 68 is 34.

There is a 0.0125% chance that a baby might be born with a certain heart defect. If there are 312,000 babies born a day, about how many might have that defect? Round your answer to the nearest whole number.

Answers

Answer:

3,900 Babies

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

312000 x0.0125 / 100 = 39

I hope this helps a little bit.

Simplify.If x=2, then what is 3x^2 - 2x + 1?

Answers

Step-by-step explanation:

3x^2-2x+1

3(2)^2-2(2)+1

3(4)-4+1

12-4+1

8+1=9 Answer

Step-by-step explanation:

3(2)^2 - 2x + 1

=3x4 - 2x + 1

=12 - 2x + 1

= 13 - 2x

Answer: 13 - 2x

Write 0.31% as a decimal.

Answers

Answer:

0.31% = 0.0031 in decimal form.

Step-by-step explanation:

Percent means 'per 100'. So, 0.31% means 0.31 per 100 or simply 0.31/100. If you divide 0.31 by 100, you'll get 0.0031 (a decimal number).

The cell phone company charges $42 plus .02 per text (t). Which algebraic expression represents the total charge per
month?
A. 42.02t
B. 42 + .02t C. 44t. D. 42 + t
PLEASE HELP

Answers

Answer:

the answer is b) 42 + .02t

Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?

Answers

I’d say John is a pretty skinny boy who doesn’t have too much height on him. he doesn’t appear to have much muscle on him or excess weight.

May i get someone to help with these questions

6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81

8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54

Answers

Answer:

8) 0.46

Step-by-step explanation:

54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54

100% - 54% = 46%

46%/100 = 0.46

You're #6 is unclear, what is V?

Diego works at a vegetable farm and earns $6.00/hour plus $1.25 for every full wagonload of picked vegetables. Write an expression to represent how much Diego eams if he works y hours and fills x wagonloads. Instruction : In the expression, let the term containing y come before the term containing x. Write the answer (without spaces) in the box given below

part B
if diego works six hours and fills 20 wagonloads, how much does he earn? write you answer in the box


PLEASE ANSWER INLY IF YOU K OW THE ANSWER ​

Answers

Answer:

6y + 1.25x

$61

Step-by-step explanation:

Diego works at a vegetable farm and earns $6.00/hour plus $1.25 for every full wagonload of picked vegetables. Write an expression to represent how much Diego earns if he works y hours and fills x wagonloads. Instruction : In the expression, let the term containing y come before the term containing x.

If Diego works six hours and fills 20 wagonloads, how much does he earn?

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

Let's Start!

So, we know Diego earns $6.00/hour.

We can write that as 6y, where y is the number of hours worked.

We also know that he earns $1.25 for every wagonload of picked vegetable.

We can write that as 1.25x, where x is the number of wagonloads filled.

So, to make our algebraic expression, we will separate the terms by a plus sign.

6y + 1.25x

PART TWO:

"If Diego works 6 hours"

6(6) + 1.25x =

"And Diego fills 20 wagonloads"

6(6) + 1.25(20) =

Simplify.

36 + 25=  61

So, Diego will earn $61

Hope I helped, have a nice day!

              -Aadi x

if a = 7 and b = 2, find the value of (a - b) ²​

Answers

Answer:

substitute it into the value that they give then expand the formula which is

a^2-2ab+b^2

Step-by-step explanation:

Evaluate d-17 when d=30​

Answers

d-17

d=30

Replace d

30-17=13

Answer:

d-17

= 30-17

= 13

Step-by-step explanation:

Since d = 30, so d-17= 13

Please help out !

Select all of the quadratic expressions in vertex form.
A (x - 2)2 +1
B x2 - 4
C + (x+1)
D (+3)
E (3 – 4)² + 6

Answers

It would be a that’s because the vertex would b (2, 1)


Please help I don’t know

Answers

Answer:

b

Step-by-step explanation:

What number is 38% of 88

Answers

Answer:

33.44

Step-by-step explanation:

Use this calculator to find percentages. Just type in any box and the result will be calculated automatically.

Calculator 1: Calculate the percentage of a number.

For example: 38% of 88 = 33.44

Calculator 2: Calculate a percentage based on 2 numbers.

For example: 33.44/88 = 38%

Answer:

33.44

Explanation:

38% x 88= 33.44

What is the volume of this figure?
1 yd.
2 yd.
3 yd.
1 yd.
4 yd.
2 yd.
cubic yards

Answers

Answer:

where is the figure. please provide a figure.

urgent !! someone help

Answers

i think it is b and c

QUICK

Find the area of the shaded region. Use 3.14 for pi.

Answers

Answer:

The shaded region is [tex]353.25m^2[/tex].

Step-by-step explanation:

The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply [tex]A=\pi r^2[/tex].

15m is the radius of the large circle, and also the diameter of the smaller circles.

The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.

As such:

[tex]A=\pi(15)^{2}-2(\pi(\frac{15}{2} )^{2})\\\\A=(3.14)(15)^{2}-2(3.14)(\frac{15}{2} )^{2}\\A=706.5-353.25\\A=353.25[/tex]

Answer:

353.25 m²

Step-by-step explanation:

Shaded region is the difference in the area of the bigger circle and two smaller circles.

Radius of bigger circle = 15 mRadius of smaller circles = 15/2 = 7.5 m

The shaded area:

A = π(15²) - 2π(7.5²) = π(225 - 112.5) = 3.14(112.5) = 353.25 m²
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