16 – (3 – 4y) = 2(y + 2)

Answers

Answer 1

Answer:

[tex]y = -4\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]16-(3-4y) = 2(y+2)[/tex]

Distribute.

[tex]16 - 3 + 4y = 2y + 4[/tex]

Combine like terms.

[tex]13 + 4y = 2y + 4[/tex]

Subtract [tex]2y[/tex] from both sides.

[tex]13 + 2y = 4[/tex]

Subtract 13 from both sides.

[tex]2y = -9[/tex]

Divide both sides by 2.

[tex]y = -4\frac{1}{2}[/tex]

I hope this helps!


Related Questions

a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length of the radius of the circle

Answers

Answer:

square root of 65 or 8.06

Step-by-step explanation:

(x-2)^2+(y-7)^2+65

hope this helps

The length of radius is 7.81 unit.

What is Distance Formula?

The distance between two points P(a, b)a nd Q(c, d) is

D = √(c- a)² + (d- b)²

Given:

Center at (-2,7) if a point on the circle has coordinates (3,-1).

Using Distance Formula

D = √( 3-(-2))² + (1-7)²

D = √ (3 +2)² + (-6)²

D = √5² + 36

D = √25+36

D = √61

D= 7.81 unit

Hence, the length of radius is 7.81 unit.

Learn more about distance formula here:

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PLEASE HELP I WILL GIVE BRAINLIEST!!!

1 - A graph of an equation in two variables or a function is a representation of an infinite number of solutions to the equation or function.
2 - A system of equations may not have an exact solution that meets the conditions of a real-world solution.

it would be so amazing if you could help, im legit so confused :(

Answers

Answer:

1-   1+2+3+4+5 = 15

Step-by-step explanation:

(Please i need help) The expression p - 0.15p can be used to calculate the final cost of an item that has a price of p and is
discounted 15%.
What is the final cost of an item that has an original price of $23?
Enter your answer as the correct value with two decimal places, like this: 42.53

Answers

Answer:

Final cost of the item is $19.55

Step-by-step explanation:

Expression representing the final cost of an item with original price = $p and discount = 15% will be,

Final cost = (p - 0.15p)

If the original price p = $23

By substituting p = 23 in the expression given,

Final cost after discount = 23 - (0.15)23

                                         = 23 - 3.45

                                         = $19.55

Therefore, final cost of the item is $19.55

WILL GIVE BRAINLIEST
HELP ASAP
PLEASE

Answers

Answer:

143

Step-by-step explanation:

Answer: I think for number A 3+5x2=X

I’m not sure about B tho

Step-by-step explanation:

You add 3+5 then you multiply it by 2 cause it twice as large

The options are <,>,=

Answers

Answer:

<

Step-by-step explanation:

1. George's gross pay was $565. If he has to pay 1.45% to Medicare tax, how much will the Medicare tax deduction be?
o
$8.19
$5.45
$819.25
$0.81

Answers

Answer: $8.19

Step-by-step explanation: Times 565 by 1.45% and that's what you get.

Answer:

The answer is $8.19

Step-by-step explanation:

The perimeter of a rectangle is 120 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? a. h = 9cm, b = 18 cm c. h = 15 cm, b = 45 cm b. h = 19 cm, b = 57 cm d. h = 10 cm, b = 15 cm

Answers

Answer:

[tex]Height = 15[/tex]

[tex]Base = 45[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Perimeter = 120cm[/tex]

[tex]Base = 3 * Height[/tex]

Required

Determine the dimensions

The perimeter of a rectangle is:

[tex]Perimeter = 2 * (Base + Height)[/tex]

Substitute 120 for Perimeter

[tex]120 = 2 * (Base + Height)[/tex]

Divide both sides by 2

[tex]60 = Base + Height[/tex]

Substitute 3 * Height for Base

[tex]60 = 3 * Height + Height[/tex]

[tex]60 = 3Height + Height[/tex]

[tex]60 = 4Height[/tex]

Divide both sides by 4

[tex]15 = Height[/tex]

[tex]Height = 15[/tex]

Substitute 15 for Height in [tex]Base = 3 * Height[/tex]

[tex]Base = 3 * 15[/tex]

[tex]Base = 45[/tex]

People tend to evaluate the quality of their lives relative to others around them. In a demonstration of this phenomenon, Frieswijk, Buunk, Steverink, and Slaets (2004) conducted inteviews with frail elderly people. In the interview, each person was compared with fictitious others who were worse off. After the interviews, the elderly people reported more satisfaction with their own lives. Following are hypothetical data similar to those obtained in the research study. The scores are measures on a life-satisfaction scale for a sample of n = 9 elderly people who completed the interview. Assume that the population average score on this scale is μ = 20. Are the data sufficient to conclude that the people in this sample are significantly more satisfied than others in the general population? Use a one-tailed test with α = .05. The life-satisfaction scores for the sample are 18, 23, 24, 44, 19, 27, 23, 26, 25.

Answers

Answer:

we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Step-by-step explanation:

Population mean    μ₀  = 20

Sample data   18  23  24 44  19 27 23 26 25

Then:

Sample mean      μ   =  25,44

Sample standard deviation     s = 7,14

Sample size     n  =  9

Hypoyhesis test:

Null hypothesis                                H₀              μ   =   μ₀

Alternative hypothesis                   Hₐ               μ   >   μ₀

Significance level    α  = 0,05    CI = 95 %

We must develop a  t-student one-tail test  ( to the right ) as follows

t(c)  =  ??

degree of freedom    df = n - 1         df =  8      and    α = 0,05

Then from t-student table    t(c)  =  1, 8595

To calculate   t(s)  =  (  μ  -  μ₀  ) / s/√n

t(s)  =  ( 25,44  -  20 ) * √9 / 7,14

t(s)  = 5,44*3 / 7,14

t(s)  = 2,29

Comparing   t(c) and  t(s)

t(s)  >  t(c)

Then t(s) is in the rejection region   we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

What is the slope of the line shown below

Answers

Answer:

it's C

Step-by-step explanation:

please mark me as brainliest thank you

A nursery owner buys 5 panes of glass to fix some damage to her greenhouse. The 5 panes cost ​$13.25. ​Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of​ glass?

Answers

Answer:

5,30

Step-by-step explanation:

1325:5=2,65

265.2=530

Answer:

It is 530

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Convert y = 8x2 + 128x + 48 to vertex form by completing the square. Choose the
correct equation,

Answers

Answer:

y=8(x+8)^2-464

Step-by-step explanation:

hope this helps

Y=8. D did d d d did. D d d d d d d. D d d

Nate needs at least 15 pounds of chocolate to make his chocolate fountain work. He already has 8 pounds of chocolate. What is the smallest amount that he can get to make the chocolate fountain work? Write an inequality and solve. Let c represent the amount of chocolate Nate needs to get.

Answers

Answer:

[tex]8+c\le15[/tex]

 

can someone help me out?

Answers

First you have to solve for x. X=32.
5*32-12=148
148=(3y-8).
y=52

Answer:

y is equal to nine and two thirds, or 9.666...

Step-by-step explanation:

To solve this, we first need to know the value of x.  We can see though that x + (x - 12) is equal to 180 degrees, so:

x + 5x - 12 = 180

6x = 192

x = 32

Now that we have x, we can use the same rule to solve for y:

3y - 8 = x

3y - 8 = 32

3y = 40

y = 40 / 3

So y = 40/3, or 9 and 2/3

Bonus:

I almost wonder if the question was printed incorrectly, as the answer would have been a nice tidy integer if the other corner was 3y + 8 instead of 3y - 8.

If that were the case we'd have:

3y + 8 = 32

3y = 24

y = 8

A nice clean answer

To be clear, this last bit is NOT the correct answer, just an observation. If the book tells you that eight is the answer, then the question is misprinted.

33 is what percent of 200


Help ASAP

Answers

Answer:

16.5

Percentage Calculator: 33 is what percent of 200? = 16.5.

In the equation 30x = 21, x = 9

A. True
B. False

Answers

Step-by-step explanation:

30x=21

x=21/30

x=7/3

x=0.7

so, its false

hope it may help you

Find the volume of the following figure

Answers

Answer:

there is no picture?

Step-by-step explanation:

There is no picture?

complete the equation of the line whose slope is -2 and y-intercept is (0,-8)

y= ????​

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

Slope-intercept form is y = mx + b. Slope is m, and y-intercept is b. To do this, we substitute -2 for m and -8 for b. When we do this, we get y = -2x + -8. We can simplify this to y = -2x - 8.

4.02>4.1 TRUE OR FALSE

Answers

Answer: true

Step-by-step explanation: cuz

Answer:

False

Step-by-step explanation:


Why do you think most people who have lived
on our planet would have been suspicious of negative
numbers?

Answers

Answer:

I do not know

Step-by-step explanation:

I guess because negative represents going down :/

A 20-question math test is worth 100 points.Multiple choice questions worth 4 points each.Bubble grid questions are worth 8 points each.How many of each type of question is on the test?

Answers

Answer:

There are 5 8-point questions and 15 4-point questions

Step-by-step explanation:

20.4= max points 80 limit of points = 100

20.8= max points 160

100:4= max 25 questions limit of questions = 20

100:8= max 12,5 question

5.8=40

15.4=60

There are 5 bubble grid questions and 15 multiple choice questions.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let,

Multiple choice questions denoted by M

Bubble grid questions are denoted by B

A 20-question math test is worth 100 points.

M+B=20..(1)

Multiple choice questions worth 4 points each. Bubble grid questions are worth 8 points each.

4M+8B=100..(2)

From equation 1,

M=20-B

4(20-B)+8B=100

80-4B+8B=100

80+4B=100

Subtract 80 from both sides

4B=20

Divide both sides by 4

B=5

Now plug in B value in equation 1.

M+5=20

Subtract 5 from both sides

M=15

Hence, there are 5 bubble grid questions and 15 multiple choice questions.

To learn more on Equation:

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Factor this polynomial completely.
x^2-8x+16

A. (x-4) (x-4)
B. (x+4) (x+4)
C. (x-4) (x+4)
D. Does not factor

Answers

Answer:

(x-4) (x-4)

Step-by-step explanation:

foil [first, outside, inside, last]

x^2 -8x = 16

(x-4) (x-4) = x^2 -4x -4x +16 = x^2 -8x +16

Answer: (x-4) (x-4)

Step-by-step explanation:

I have done this before!

y = 2x - 5
y = 5x -5
Determine if is parallel or perpendicular?

Answers

Answer:

The lines intersect, but they're not parallel or perpendicular.

You spend ​$75 on a meal including tax and want to leave a tip that is​ 20% of the ​$75. What is the total​ cost, with the​ tip? The cost of your​ meal, with the​ tip, is ​$(answer)

Answers

Answer:

The total cost = $90

Step-by-step explanation:

As, $75 is the cost of the meal

And tip is 20%

So 20% of $75 = 15

So, the tip = $15

So, total = Cost of meal + tip

= $75 + $15 = $90

help quick please ! 10 points​

Answers

Answer:

A, (Hope that was correct)

Step-by-step explanation:


y
is inversely proportional to
x
.
When
y
=
4
,
x
=
16

Work out
y
when
x
=
8

Answers

Answer:

y inversely proportional to 1/x

y=4, x=16

4=k/16

k=64

find y when x=8

y=64/8

y=8

What is the slope of a line parallel to the line 2x + 3y = 5?

Answers

i think its 2/3 but im not sure .

Answer:

D

Step-by-step explanation:

Parallel lines have same slope

Write the equation in slope - intercept form

2x + 3y =5

       3y = -2x + 5

Divide the equation by 3

    [tex]y = \frac{-2}{3}x +\frac{5}{3}[/tex]

So, slope = (-2/3)

Seventh grade
AA.5 Area of circles YA8
The radius of a circle is 9 feet. What is the circle's area?
Use 3.14 for .
square feet
Submit

Answers

Answer:

A=pi x r^2

A= 3.14 x 9^2 feet

A= 3.14 x 81 feet^2

A= 254.34 ft^2

An 8-ounce cup of gourmet coffee costs $4.96.
If the unit price remains the same, how much
would a 12-ounce cup of gourmet coffee cost?


Plz help

Answers

So if the 8oz cup cost $4.96 and you want to add 4 more ounces just divide the $4.96 in half and add that so.




$4.96
$2.48+
answer === $7.44

9cm: to 12cm ratiosss can u guys helpp meeee

Answers

Answer:

I think 3 upon 4/ 3 by 4 is right answer

Billy purchased four more oranges than apples. Apples cost 30 cents each and oranges cost 50 cents each. Billy
spent a total of $3.60. Write an equation, to find how many apples, a, he purchased.

Answers

Answer:

0.30a + 0.50 (4+a) = 3.60

Step-by-step explanation:

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