11. Given: 17 - 3(w + 5) = 6(w + 5) - 2w;
Prove: w = -4
Statements
Reasons
11.17-3(3+5)=6(W+5)-2W
2.17-30-15= 60 +30 -2W
3.-3W +2 = 4W+30
4. -7W +2=30
5. -W=28
1. W= -4
Answers
Answer:
Step-by-step explanation:
Statements Reasons
1). 17 - 3(w + 5) = 6(w + 5) - 2w 1). Given
2). 17 - 3w - 15 = 6w + 30 - 2w 2). Distributive property
3). -3w + 2 = 4w + 30 3). Addition property of equality
4). -7w + 2 = 30 4). Subtraction property of equality
5). -7w = 28 5). Subtraction property of equality
6). w = -4 6). Division property of equality
Related Questions
What is the product of 3/4 and6/ 7?
O -7/8
O -9/14
O 9/14
O 7/8
Answers
Answer:
Third choice. 9/14
Step-by-step explanation:
3/4 x 6/7 = 18/28 = 9/14
Complete each statement from the information given and state the reasons and the triangle criterion you used. If the triangles cannot be shown to be congruent, leave the box for the second triangle blank and chose for reason “Cannot be determined.”
Chapter Reference
b
∆FSH ≅ △_____
By rule ______
Answers
Answer:
∆FSH ≅ △_____
By rule Cannot Be Determined
Step-by-step explanation:
Both do not have an answer.
Joana's printer can print 96 black and white pages in 4 minutes. If the ratio of pages printed to minutes is constant, how many minutes will it take the printer to print 240 pages
Answers
Answer:
10 minutes
Step-by-step explanation:
Angle pair equations!! 10 points :)
Answers
Answer:
78°
Step-by-step explanation:
(I'm assuming that segment AB is a straight line {180 degrees})
1. since angles DCA and DCB equals 180°, we can set up the equation 4x+2+3x+3=180.
2. if you solve that, you'll get x=25.
3. plug 25 (x) into 3x+3 -> 3(25)+3
4. 3(25)+3=78
5. answer: 78°
I am selling 900 yearbooks, making a total of $2820. The large yearbook pages cost $4 and the small cost $2.50. Find how many of each I sold. HELPPP PLS
Answers
Answer:
number of large year book sold = 380
number of small year book sold =520
Step-by-step explanation:
Let the no. of large year book pages be x
given that
cost of 1 large year book = $4
cost of x large year book = x*cost of 1 large year book = $4x
Let the no. of small year book pages be y
given that
cost of 1 small year book = $2.5
cost of y small year book = y*cost of 1 large year book = $2.5y
also,
total year books sold were 900
no. of small year book + no. of small year book = 900
x + y = 900
y = 900 - x ------------------>1
also total money made by selling large and small year book = $2820
cost of x small year book + cost of x large year book = 2820
4x + 2.5y = 2820
using y = 900 - x in above equation
4x + 2.5(900-x) = 2820
4x + 2250 - 2.5x = 2820
1.5x = 2820-2250 = 570
x = 570/1.5 = 380
Thus,
number of large year book sold = 380
number of small year book sold = 900-380 = 520
who can answer this gets all my points, and I'm not giving you five.
Got it!?
answer!
please....plz
Answers
Answer:
Spaces are as below:
1. 122. 36 (as 12*3= 36)3. 12 (as 12/1= 12)4. 12 (as 36/3= 12)5. Equal (or same whatever is close)6. Is7. y = 12xI NEED HELP ASAP!! will be willing to mark you brainliest!
Answers
Answer:
8/75
Step-by-step explanation:
Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)
Answers
Answer:
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
Step-by-step explanation:
Two points (1, -1) and (0, 6) are lying on the given line.
Rule to find the coordinates of a point by the rotation of 90° clockwise is,
(x, y) → (y, -x)
Therefore, image points of (1, -1) and (0, 6) will be,
(1, -1) → (-1, -1)
(0, 6) → (6, 0)
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-1, -1) and (6, 0) will be,
m = [tex]\frac{0+1}{6+1}[/tex] = [tex]\frac{1}{7}[/tex]
Equation of the line passing through (6, 0) and slope = [tex]\frac{1}{7}[/tex]
y - y' = m(x - x')
y - 0 = [tex]\frac{1}{7}(x - 6)[/tex]
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
Use Triangle ABC to find the trigonometric ratio.
tan B =
Answers
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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]
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The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,
Tan(B) = AC / BC
Tan(B) = 8/15
Hence, the value of Tan(B) will be equal to 8/15.
Learn more about Tangent (Tanθ):
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where do i put the lines ? also is it a function
Answers
okay if I'm doing this right then
-3 goes to 1
-2 goes to 0
1 goes to 2
3 goes to -4
-3 goes to 5
I think you put the x to the y ones
find the sum of the product of 5 and 0.35 and the product of 0.75 and 8
Answers
Answer:
sum of the product 5+0.35=5.35
sum if product 0.75+8=8.75
Answer:
Step-by-step explanation:
product of 5 and 0.35 = 1.75
product of 0.75 and 8 = 6
their sum = 1.75 + 6 = 7.75
Hope this helps
plz mark as brainliest!!!!!!!!
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST)
ou are traveling to Japan and need Japanese Yen (JPY). How much JPY could you get for $100 USD if the exchange rate is USD/JPY 0.9333 ?
¥99.07
¥93.33
¥100.93
Answers
Answer:
93.33
Step-by-step explanation:
You just multiply the $100 by the change rate to get the new currency
Answer:
107.15 :)
Step-by-step explanation:
You are traveling to Japan and need Japanese Yen (JPY)
We need to convert $100 USD to JPY
If conversion rate is $1USD = 0.9333JPY
The value of $1 USD is 0.9333 JPY
Let in $100 USD get x JPY
100/.9333
=107.15
S = 4LW + 2WH; S = 84, L= 6, W= 3.
H=
Please I need help
Answers
Answer:
I got you
Step-by-step explanation:
96 = 4(5)(4) + 2(4)H
96 = 80 + 8H
96 - 80 = 8H
16 = 8H
16/8 = H
2 = H
42dx - 7dx = 70f solve for x
Answers
Patrick is plotting points to show a relation that is not a function. Which point could be the next point that Patrick plots on the graph?
Answers
Can someone please help me with this
Answers
Answer:
8 and 7, I think...
Step-by-step explanation:
keep it up
Supplementary means that the 2 angles add up to 180 degrees. This means that angles 7 + 8 are supplementary
Round 8.1785 to the nearest hundredth
Answers
Answer:
I believe its 8.18 hope I helped. =)
Answer:
8.1785 to the nearest hundredth is 8.18.
Step-by-step explanation:
1. I left 8. and change the .1785 because 17 is the hundredths place. Next I took the .1785 and rounded it to .18 because the 85 is above 50.
2. I put the two numbers together (8. & .18) and I got 8.18.
I hope this helps:)
Three scenarios are given in parts a through c below. For each scenario, determine the sampling method used by the managers. a) The managers select a single branch at random and survey every employee of that branch. A. The managers used a systematic sample. B. The managers used a multistage sample. C. The managers used a cluster sample. D. The managers used a stratified sample. E. The managers used a simple random sample. b) The managers use the company e-mail directory to contact every 3030th employee on the list. Choose the correct sampling method below. A. The managers used a cluster sample. B. The managers used a multistage sample. C. The managers used a stratified sample. D. The managers used a systematic sample. E. The managers used a simple random sample. c) The managers split the company into divisions, with each division containing employees that have similar jobs. Within each division, they select a SRS of employees to contact. Choose the correct sampling
Answers
Answer:
1. C. The managers used a cluster sample
2. B)The managers used a systematic sample.
3. The managers used a stratified sample.
Step-by-step explanation:
1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.
2. In systematic sampling we select elements from an ordered sampling frame.
3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process
if f(x)= x^2 -2 and g(x)=x-3, what is (f o g)(X)?
x^2 +7
x^2 -6x +7
x^2 -3x +7
x^2 -5
Answers
Answer:
Step-by-step explanation:
g(x)= x - 3
f(x - 3)= (x - 3)^2 - 2
x^2 - 6x + 9 - 2 = x^2 - 6x + 7
b is the answer
Help!! An object is moving at a speed of 3 yards per month. Express this speed in
centimeters per day. Round your answer to the nearest tenth.
Answers
uhh I need help, yes ik I’m dumb
Answers
Answer:
[tex]1\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3}[/tex] is the same as 4/3 so you'd be multiplying 4/3 x 4/3 so you multiply straight across to get 16/9 when you simplify you are left with 1 7/9
Hope that helps and have a great day!
A car travels 35 miles in 3 hours. At this rate, how many miles will the car travel in ½ hour? (Convert answer to a fraction)
Answers
Answer:
5 5/6 miles
Step-by-step explanation:
There are a few ways to do this, but one way is to find out how many miles per hour the car can travel. For this we do 35/3(distance/time) which is 11 2/3 mph. Now, to find half an hour we can divided 11 2/3 divided by 2, which is
5 5/6 miles.
One minus the product of four and a number I.
Answers
c. Bradley's dad used a light bulb that consumed 5000 joules in 50 seconds. What is the
unit rate at which this light bulb used energy?
Answers
Answer:
100 joules/ second
Step-by-step explanation:
5,000/50 seconds = 100 joules/ second
If a light bulb that consumed 5000 joules in 50 seconds, then the unit rate at which this light bulb used energy is, 100 joules/seconds or 100 watts.
What is the rate?Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.
So formula for the rate is,
m = change in one quantity/change in another quantity = Δy/Δx
Given that,
A light bulb that consumed 5000 joules in 50 seconds,
The unit rate at which this light bulb used energy = ?
To find the unit rate,
we can divide the energy consumed (in joules) by the time it took to consume that energy (in seconds):
Unit rate = 5000/50 joules/seconds
= 100 Watts
Note: 1 Watt = 1 Joule/second,
so the unit rate can also be expressed as joules per second.
Hence, the unit rate at which the light bulb used energy is 100 Watts.
To know more about Rate check:
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which equation matches the graph
A.y=2x+3
B.y=-2x+3
C.y=-4x+2
D.y=4x+2
Answers
Madison wants to bake 5 cakes for the church
festival. She needs 1 3/4 cups of flour and 2
1/2 cups of sugar for each cake. How much
sugar will she need for the 5 cakes?
Answers
Answer:She will need 12 and 1/2 cups of sugar
Step-by-step explanation:
Just set up a table and multiply 2 1/2 by 5 and you get 12 1/2
Any number divisible by 3 is divisible by 6.
A.) True
B.) False, counterexample of 12
C.) False, counterexample of 15
Answers
Answer:
C.) False, counterexample of 15
1) 15 is divisible by 3 but not by 6
we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3
BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6
2) 12= 3*4 & 6*2
SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'
Answer:
c. False, counterexample of 15
Step-by-step explanation:
This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3
HELPPPPPP!!! I NEED HELP PLEASEEEE
Answers
Answer:
A
Step-by-step explanation:
im a 100% sure it is A
tttttttt
Answer:
yes it is a
Step-by-step explanation:
hahahah i dont know how to explain this i just guessed lol
I really need help with this !!
Diragio Lawn Care cuts 42 lawns every week. Each lawn uses 316 of a tank of gas when it is cut (on average).
Part A:
If the lawnmower had no gas at the start of the week, how many times would it have to be completely filled during the week? Show your work.
Part B:
The cost for a full tank of gas in the lawnmower is $20. How much does it cost (in lawnmower fuel only) to mow one average lawn? Show
Answers
Answer:
dez nuts ha gotem
Step-by-step explanation:
boi u thought
summary of scientific notation
Answers
Answer:
Scientific Notation is making a huge number smaller, using exponents. A number like 800000 can be shortened with Scientific Notation. Example:
8 × [tex]10^{5}[/tex]
Step-by-step explanation: