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!
In the equation 30x = 21, x = 9
A. True
B. False
Step-by-step explanation:
30x=21
x=21/30
x=7/3
x=0.7
so, its false
hope it may help you
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
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]
33 is what percent of 200
Help ASAP
Answer:
16.5
Percentage Calculator: 33 is what percent of 200? = 16.5.
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
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
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.
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
Convert y = 8x2 + 128x + 48 to vertex form by completing the square. Choose the
correct equation,
Answer:
y=8(x+8)^2-464
Step-by-step explanation:
hope this helps
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
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.
Answer:
[tex]8+c\le15[/tex]
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
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:
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?
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:
https://brainly.com/question/10413253
#SPJ2
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
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:
https://brainly.com/question/28956738
#SPJ2
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
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
is inversely proportional to
x
.
When
y
=
4
,
x
=
16
Work out
y
when
x
=
8
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
WILL GIVE BRAINLIEST
HELP ASAP
PLEASE
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
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)
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
4.02>4.1 TRUE OR FALSE
Answer: true
Step-by-step explanation: cuz
Answer:
False
Step-by-step explanation:
What is the slope of a line parallel to the line 2x + 3y = 5?
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)
can someone help me out?
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.
Find the volume of the following figure
Answer:
there is no picture?
Step-by-step explanation:
What is the slope of the line shown below
Answer:
it's C
Step-by-step explanation:
please mark me as brainliest thank you
complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y= ????
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.
9cm: to 12cm ratiosss can u guys helpp meeee
Answer:
I think 3 upon 4/ 3 by 4 is right answer
The options are <,>,=
Answer:
<
Step-by-step explanation:
Why do you think most people who have lived
on our planet would have been suspicious of negative
numbers?
Answer:
I do not know
Step-by-step explanation:
I guess because negative represents going down :/
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.
Answer:
0.30a + 0.50 (4+a) = 3.60
Step-by-step explanation:
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 :(
Answer:
1- 1+2+3+4+5 = 15
Step-by-step explanation:
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?
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!
y = 2x - 5
y = 5x -5
Determine if is parallel or perpendicular?
Answer:
The lines intersect, but they're not parallel or perpendicular.
help quick please ! 10 points
Answer:
A, (Hope that was correct)
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
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