5(x - 20) = 1/2 (4x + 4)


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5(x - 20) = 1/2 (4x + 4)Show Your Work Help

Answers

Answer 1

Answer: 334

Step-by-step explanation: Find the steps in the file

5(x - 20) = 1/2 (4x + 4)Show Your Work Help
Answer 2

Answer:

34

Step-by-step explanation:

1. Expand 5(x - 20):

Use the distributive property to distribute 5 to x and -20

5x - 100

2. Expand [tex]\frac{1}{2} (4x + 4)[/tex]:

Use the distributive property to distribute [tex]\frac{1}{2}[/tex] to 4x and 4

2x + 2

3. Add 100 to both sides:

5x - 100 = 2x + 2

5x - 100+100 = 2x + 2+100

5x = 2x + 102

4. Subtract 2x from both sides:

3x = 102

5. Divide both sides by 3:

x = 34

hope this helps!


Related Questions

Which is the graph of f(x) = (x+3)(x-2)

Answers

Answer:

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) + 1.5. Which statement about the graphs is true?

The vertex of the graph of g is 1.5 units to the left of

the vertex of the graph of f.

B

The y-intercept of the graph of g is 1.5 units above the

y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across

the y-axis.

The graph of g is a reflection of the graph of f across

the x-axis.

Step-by-step explanation:

The area of a rectangular region is 7.26 × 10* square feet. The length of the rectangular region is 1.21 × 10° feet. How much
does it cost to surround the region with a border that costs $0.80 per foot?

Answers

Answer:

$283.2

Step-by-step explanation:

Area of the order = Length * Width

7.02×10^3 = 1.17×10^2 * Width

7020 = 117W

W = 7020/117

W = 60feet

The perimeter of the border = 2(L+W

P = 2(117+60)

P = 2 * 177

P = 354 feet

If a border cost $0.80 per foot, 354 feet long border will cost 0.80 * 354 = $283.2

according to the line plot what is the total weight gained by the dogs that gained 1/8 of a pound or 3/4 of a pound

Answers

Answer:

i think the answer is 3

Step-by-step explanation:

The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given sin 0 = 2/5 find cos 0

Answers

cos (theta) = √21/5

Step-by-step explanation:

sin (theta) = 2/5

(sin (theta))^2 = 4/25

4/25 + (cos (theta))^2 = 1

(cos (theta))^2 = 1 - 4/25 = 21/25

cos (theta) = √21/5

What number is 0.1 less than 15.2? help im doing a k12 test !!
!!

Answers

Answer:

15.1?

Step-by-step explanation:

Subtract .1

Answer:

15.1

Step-by-step explanation:

15.2-.1=15.1

Which of the following is not true?
O √16 +4√4+5
О 3п > 9
O √27+3 >
O 5-√24 1

Answers

Answer:

Hello there! I believe b or d

Find three positive numbers the sum of which is 27, such that the sum of their squares is as small as possible.

Answers

The three positive numbers whose sum is 27 will be 14, 1, and 12.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

Suppose the three positive numbers are x, y and z.

If the summation of numbers is 27.

⇒ x + y + z = 27 --- (1)

⇒ z = 27 - x - y

Suppose the square sum of the number be S.

∴ S = x² + y² + z²

⇒ S = x²+ y² + (27 - x - y)² --- (2)

We will optimize the function, partially differentiating it with respect to x and y, and setting dS/dx = 0 to get the minimum value of S.

2x + 2(27- x - y)(-1) = 0

2x - 54 + 2x + 2y = 0

4x + 2y - 54 = 0

y = 27 - 2x --- (3)

Differentiate partially with respect to y as

2y + 2(27 - x - y)(-1) = 0

2y - 54 + 2x + 2y = 0

4y + 2x - 54 = 0

x = 54 - 2y --- (4)

Substitute the value of y = 27 - 2x in the equation (4),

x = 12 - 2(27 - 2x)

x = 12 - 54 + 4x

4x - x = 54 - 12

3x = 42

⇒ x = 14

By substituting x = 14 in equation (3)

y =2(14) - 27

y = 28 - 27

⇒ y = 1

Substitute the values of x and y in equation (1),

14 + (1) + z = 27

z = -14+27-1

z= 12

Thus, the three positive numbers whose sum is 27 will be 14, 1, and 12.

Learn more about the number here:

brainly.com/question/17429689

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[tex]sec {}^{2} a \: . \: cosec {}^{2} a = {tan}^{2}a + {cot}^{2} a + 2 \\ [/tex]
Please help!!!!!!!!!!!!​

Answers

Answer:

Trigonometric identities

[tex]\sec^2(\alpha)=1+\tan^2(\alpha)[/tex]

[tex]\csc^2(\alpha)=1+\cot^2(\alpha)[/tex]

[tex]\cot^2(\alpha)=\dfrac{1}{\tan^2(\alpha)}[/tex]

Solution

[tex]\begin{aligned}\sec^2(\alpha) \cdot \csc^2(\alpha) & = (1+\tan^2(\alpha))(1+\cot^2(\alpha))\\\\ & =1+\cot^2(\alpha)+\tan^2(\alpha)+tan^2(\alpha)\cot^2(\alpha)\\\\ & = 1+\cot^2(\alpha)+\tan^2(\alpha)+\tan^2(\alpha) \cdot \dfrac{1}{\tan^2(\alpha)}\\\\ & = 1+\cot^2(\alpha)+\tan^2(\alpha)+ \dfrac{\tan^2(\alpha)}{\tan^2(\alpha)}\\\\& = 1+\cot^2(\alpha)+\tan^2(\alpha)+1\\\\& = \tan^2(\alpha)+\cot^2(\alpha)+2\end{aligned}[/tex]

Answer:

See below ~

Step-by-step explanation:

Trigonometric Identies (needed)

sec²a = 1 + tan²a cosec²a = 1 + cot²acot²a = 1/tan²a

Solving

Expanding the LHS

sec²a * cosec²a(1 + tan²a) * (1 + cot²a)1 + tan²a + cot²a + (tan²a * cot²a)1 + tan²a + cot²a + 1tan²a + cot²a + 2⇒ RHS

∴ Hence, we have proved the left hand side of the equation is equal to the right hand side.

A certain college graduate borrows $5900 to buy a car. The lender charges interest at an annual rate of 10%. Assuming that interest is compounded continuously and th the borrower makes payments continuously at a constant annual rate k dollars per year, determine the payment rate k that is required to pay off the loan in 6 years (Round your answer to two decimal places.) k=$ per yr Determine how much interest is paid during the 6-year period. (Round your answer to two decimal places.)

Answers

this is the answer to your question

ATTEMPT 3 OF TRYING TO GET THIS ANSWERED PLEASE HELP

In this diagram, x || y || z and m<9 = 93°.
What is the measure of each angle?

Drag and drop the correct measurements by the arrows to
match each angle.
m<2 ——>
m<4——->
m<7——->

87° 89° 91° 93 °

Answers

Answer:

m<2 = 87

m<4 = 87

m<7 = 93

Step-by-step explanation:

Please help I don’t understand this

Answers

Answer:

side: 17 inchesaltitude: 6 inches

Step-by-step explanation:

The formula for the area of a triangle gives a relationship between area, height, and base length. The problem statement gives the area, and it gives another relation between height and base length. Using these two relations, you can solve for the dimensions of the triangle.

__

setup

The side to which the altitude is measured is called the "base" in the area formula. The altitude is called the "height." The relation between them given by the area formula is ...

  A = 1/2bh

  51 = 1/2bh . . . . . . using the given value for area

The other relation given by the problem statement is that the base is 1 less than 3 times the height:

  b = 3h -1 . . . . . . . base is 1 less than 3 times altitude

__

solution

Using this second equation to substitute for 'b' in the first equation, we have ...

  51 = 1/2(3h -1)h

  102 = 3h² -h . . . . multiply by 2, eliminate parentheses

  3h² -h -102 = 0 . . . . . put in standard form

  3h² -18h +17h -102 = 0 . . . . . prepare to factor

  3h(h -6) +17(h -6) = 0 . . . . . factor pairs of terms

  (3h +17)(h -6) = 0 . . . . . . . . finish factoring

Solutions are the values of h that make these factors zero:

  3h +17 = 0   ⇒   h = -17/3

  h -6 = 0   ⇒   h = 6

We know that dimensions in a geometry problem must be positive, so the solution here is h = 6. Then b = 3h -1 = 3(6) -1 = 17. The dimensions are all in inches.

The length of the side is 17 inches; the altitude to that side is 6 inches.

In an examination, 460 students were tested. 23% were graded as good and the rest were graded as pass. No one failed the examination. Find the number of students who just passed.​

Answers

354.2
Explanation: 100-23=77 460 X .77 = 354.2 or you can do it like this: 460 X .23 = 105.8 460-105.8 = 354.2

Find the length of side and the perimeter of a regular nine sided polygon with radius 5 units

Answers

Step-by-step explanation:

Nine sided polygon has an angle of 360/9=40 degrees at one vertex.

So the angles opposite the radius=(180–40)/2==140/2=70degrees.

solving for Base(side): 1/2s=5.cos70= 3.42 units Ans

P=9(5+3.42)=75.78 units Ans.

I search it. ‍♀️

What is the area of this figure?

Composite figure composed of a square with dimensions 3 ft by 3 ft, triangle with a base of 11 ft and a height of 3 ft and rectangle with dimensions 11 ft by 3 ft.

Answers

The area of the composite figure = area of square + area of triangle + area of rectangle = 58.5 ft²

What is the Area of the Composite Figure?

Area of the composite figure = area of square + area of triangle + area of rectangle = s² + 1/2(bh) + lw

Given the following:

s = 3 ftb = 11 fth = 3 ftl = 11 ftw = 3 ft

Area of the composite figure = (3²) + 1/2(11)(3) + (11)(3)

Area of the composite figure = 58.5 ft²

Learn more about the area of a composite figure on:

https://brainly.com/question/8408690

9(6x-8)+10x the instructions just say simplify

Answers

Answer:

64x -72

Step-by-step explanation:

9(6x-8)+10x = (multiply by 9)

54x -72 +10x

sum similar terms

64x -72

Answer:

64x-72

Step-by-step explanation:

Trust me lol.

3 Select the correct answer. How can you write the expression 7(b – 2) in words? A. two subtracted from the quotient of seven divided by b B. seven added to difference of b minus two C. the quotient of seven divided by b minus two D. two subtracted from seven times b E. the product of seven and the difference of b minus two

Answers

Answer:

E. the product of seven and the difference of b minus two

Step-by-step explanation:

7(b-2)

seven is being multiplied by the difference of b minus 2

So this can be written as the product of seven and the difference of b minus two.

Reasons its not the other answer choices

A. two subtracted from the quotient of seven divided by b would be (7/b) - 2

B. seven added to difference of b minus two would be 7 + (b-2)

C. the quotient of seven divided by b minus two would be 7/(b-2)

D. two subtracted from seven times b would be 7b - 2

Key Vocabulary:

Difference = Subtraction

Product = Multiplication

Quotient = Division

Answer ↓

The product of seven and the difference of b minus 2

Calculations / Details ↓

First of all the difference of 2 numbers indicates that we subtract these numbers .

For instance , here we subtract :

b - 2

so we have the difference of b minus 2

then the product means we multiply .

For instance , here we multiply 7 times the difference of b and 2 .

A number / variable before the parentheses indicates that we multiply that number times the parentheses .

So the  option is E.

hope helpful ~

(07.02 LC)
Which expression is equivalent to 4x(x + 5) + 5(x + 5)? (1 point)
O (4x + 5X5+5)
O (4x + 5Xx + 5)
09x(x + 5)
O 20x(x + 5)

Answers

Answer:

A

3(2x -5)-2(x-5)=3.(2x)-3.(5)-2.x-2.(-5)

=6x-15-2x+10

=4x-5

An apartment building has 1500 residents. Every year 10% of the residents move out and no one new moves in. How many residents will live there is 7 years?

Answers

Answer:

717.44535

Step-by-step explanation:

P is the population in the beginning

r = population decrease per year = 10%

n = years = 7

P*(1-r/100)^n

1500(1-(0.10)^7

pioneermathematicscomFORMULAEFORPOPULATIONGROWTHandDECREASEformulaf779146html

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

the answer is in the picture

-11c-35/4 = 4c- 2

-11c-35 ÷4 = 4c -2

Answers

Answer:

c=-1

Step-by-step explanation:

Multiply both sides by 4

[tex]\frac{-11c-35}{4}\cdot \:4=4c\cdot \:4-2\cdot \:4[/tex]

Simplify

[tex]-11c-35=16c-8[/tex]

Add 35 to both sides

[tex]-11c-16c=16c+27-16c[/tex]

Simplify

-27c=27

Divide both sides by 27

[tex]\frac{-27c}{-27}=\frac{27}{-27}[/tex]

Simplify

c= -1

mark brainliest please!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

  x = 26

Step-by-step explanation:

The length marked x is the hypotenuse of a right triangle with legs 10 and 24. The Pythagorean theorem can be used to find the value of x.

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs:

  x² = 10² +24²

  x² = 100 +576 = 676 . . . . simplify

  x = √676 . . . . . . . take the square root

  x = 26

Answer:

The hypotenuse is 26 units

Step-by-step explanation:

Step 1:  Determine the value of x

Pythagorean theorem:  [tex]a^2 + b^2 = c^2[/tex]

[tex](24)^2+(10)^2=c^2[/tex]

[tex]576 + 100 = c^2[/tex]

[tex]676 = c^2[/tex]

[tex]26 = c[/tex]

Answer: The hypotenuse is 26 units

I genuinely need this and am giving 50 pts.

find the area of the triangle pls.
and the bottom number is a 10

options:

30.0 yd2


15.0 yd2


6.5 yd2


13.0 yd2

Answers

FromHello, Volent strawberry is here to help!

Answer: 15.0 yd2

I hope this helps!

Bye have a nice day!

From: Miko

Answer:

1. Multiply the two legs of the triangle

  3 x 10 = 30

2. Divide that number by 2

  30 / 2 = 15

The area of the triangle is 15 yd2

x-x

х
y
Note: Figure is not drawn to scale.
If x = 9 units, y = 2 units, and h = 11 units, find the area of the trapezoid shown above using decomposition.
OA. 110 square units
ОВ. 143 square units
OC. 99 square units
D. 121 square units

Answers

Answer:

Step-by-step explanation:

Answer:

D. 121 square units

Step-by-step explanation:

pls, tell me if wrong have a good day/night<3

solve for volume. figure out the question

Answers

Answer:

819 is the answer

Step-by-step explanation:

formula for volume is LxWxH

since volume is length * width * height, the volume for this will be 9 * 7 * 13 = 819cm^3

Question below in picture

Answers

[tex]\bold{FULL ANSWER:}[/tex]

Did I do this right????

Answers

Answer:

x = -7, y = -3 yup you did it right!

Step-by-step explanation:

Solve the following system:

{-2 y + x = -1 | (equation 1)

8 y - 5 x = 11 | (equation 2)

Swap equation 1 with equation 2:

{-(5 x) + 8 y = 11 | (equation 1)

x - 2 y = -1 | (equation 2)

Add 1/5 × (equation 1) to equation 2:

{-(5 x) + 8 y = 11 | (equation 1)

0 x - (2 y)/5 = 6/5 | (equation 2)

Multiply equation 2 by 5/2:

{-(5 x) + 8 y = 11 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{-(5 x) + 8 y = 11 | (equation 1)

0 x + y = -3 | (equation 2)

Subtract 8 × (equation 2) from equation 1:

{-(5 x) + 0 y = 35 | (equation 1)

0 x + y = -3 | (equation 2)

Divide equation 1 by -5:

{x + 0 y = -7 | (equation 1)

0 x + y = -3 | (equation 2)

Collect results:

Answer: {x = -7, y = -3

(-2+3i)(1-2i) multiply

Answers

Answer:

The answer is

→ [tex]4 + 7i[/tex]

Step-by-step explanation:

[tex]((-2) + (3 * i)) * (1 - (2 * i)) = 4+7i[/tex]

Therefore, [tex]4+7i[/tex] is your answer.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/22/2022 at 12:39 PM

(To avoid plagarism, by users whom decide to copy.)

See screenshots below to prove my point that [tex]4+7i[/tex] is your answer...

A laundry basket contains 10 socks, of which 2 are red. What is the probability that a randomly selected sock will be red? Write your answer as a fraction or whole number.

Answers

Answer:

you get a pair of red socks. There are 10 socks in the drawer, and 2 are red. Therefore the probability that the first one will be red is 2/10 = 1/5.

Step-by-step explanation:

Use the properties of exponents to simplify the expression.
3 4·3 8?

Answers

Answer:

[tex]\displaystyle 3^{12}[/tex]

Step-by-step explanation:

   Using the properties of exponents, when multiplying two exponents of the same base together you can add the powers.

[tex]\displaystyle 3^{4} *3^{8} =3^{4+8} =3^{12}[/tex]

     The expression simplifies too:

             [tex]\displaystyle 3^{12}[/tex]

Answer:

6642

Step-by-step explanation:

3⁴ = 3 * 3 * 3 * 3 = 81

3⁸ = 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3 = 6,561

Add the totals:

6642

Can yall help me pls

Answers

Answer:

Number of gallons in the tank after one hour.

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