Answers
[tex]\bf TW-TX=XW\implies \cfrac{8a}{5}+\cfrac{1}{10}-\left(a +\cfrac{4}{5} \right)=XW \\\\\\ \cfrac{8a}{5}+\cfrac{1}{10}-a-\cfrac{4}{5}=XW\implies \cfrac{3a}{5}-\cfrac{7}{10}=XW\\\\ -------------------------------\\\\[/tex]
[tex]\bf TX:XW\qquad 2:1\qquad \cfrac{TX}{XW}=\cfrac{2}{1}\implies \cfrac{a+\frac{4}{5}}{\frac{3a}{5}-\frac{7}{10}}=\cfrac{2}{1} \\\\\\ \cfrac{\frac{5a+4}{5}}{\frac{6a-7}{10}}=\cfrac{2}{1}\implies \cfrac{5a+4}{5}\cdot \cfrac{10}{6a-7}=\cfrac{2}{1}\implies \cfrac{10a+8}{6a-7}=\cfrac{2}{1} \\\\\\ 10a+8=12a-14\implies 22=2a\implies \cfrac{22}{2}=a\implies 11=a[/tex]
Related Questions
△ABC is mapped to △A′B′C′ using each of the given rules.
Which rules would result in △ABC being congruent to or not congruent to △A′B′C′ ?
Drag and drop each rule into the boxes to classify it as Congruent or Not Congruent.
Congruent Non Congruent
Choices to go to either congruent or non congruent
(x,y)----(x+5,y) (x,y)---(5x,5y) (x,y)-----(0.5x, 0.5y) (x,y)-----(x,-y) (x,y)------(-x,-y)
Answers
Answer:
(x,y)→(x+5,y) will be congruent; (x,y)→(5x,5y) will not be congruent; (x,y)→(0.5x, 0.5y) will not be congruent; (x,y)→(x,-y) will be congruent; (x,y)→(-x,-y) will be congruent.
Step-by-step explanation:
The types of translations that result in congruent images are translations or slides; reflections; and rotations.
Translations will add to the x- and y-coordinates; this is why the first transformation is congruent.
Reflections will negate one or more of the coordinates; this is why the fourth and fifth transformations are congruent.
The remaining two are dilations; these are stretches or shrinks that occur when the coordinates are multiplied by a number other than 1. These change the size of the figure, which is why they are not congruent.
Answer: Just took the test these are the correct anwsers
Step-by-step explanation:
Can someone help me with 7?
Answers
Solving the equation for y puts it in slope-intercept form.
[tex]3x-5y=5\qquad\text{given equation}\\3x-5=5y\qquad\text{add 5y-5}\\y=\dfrac{3}{5}x-1\qquad\text{divide by 5}[/tex]
This tells you one point can be plotted on the y-axis at y=-1. Another point can be plotted 3 units up and 5 units to the right of that one, at (5, 2). The graph is the line through those points.
Since you're asked to plot at least 3 points, your third point could be 5 units left and 3 units down from the first one, at (-5, -4).
prime numbers divided by 4 remainder 1 proven true
Answers
What type of endorsement is illustrated by the following example: Tom Ash 7609-25-26-3 A) Restrictive endorsement B) Full endorsement C) Blank endorsement D) Signature endorsement
Answers
The answer is letter c which is blank endorsement. It is a sign by the maker of an instrument, for instance a check, which allows any holder of the instrument to declare a claim for payment. Since no payee is stated, such an endorsement fundamentally turns the instrument into a bearer security.
The example given 'Tom Ash 7609-25-26-3' indicates a blank endorsement, which is when the original holder of a negotiable instrument signs their name without naming a new payee or providing other instructions, making the instrument payable to the bearer.
Explanation:The type of endorsement illustrated by 'Tom Ash 7609-25-26-3' is a blank endorsement. In a blank endorsement, the holder of a negotiable instrument, such as a check, simply signs their name on the back of the instrument without specifying the new payee or any other instructions. This means that the instrument becomes payable to the bearer and can be transferred merely by delivery. The other types of endorsements include restrictive, full, and signature endorsements, but since there are no additional instructions or named endorsee next to the signature, it does not qualify as any of those.
What is p% of 200p3?
Answers
Hope this helps
The solution of p% of 200p³ is,
⇒ p% of 200p³ = 2p⁴
We have to given that,
An expression to solve,
⇒ p% of 200p³
Now, We can simplify by applying percentage as,
⇒ p% of 200p³
⇒ p/100 × 200p³
⇒ p × p³ × 200/100
⇒ p⁴ × 2
⇒ 2p⁴
Therefore, The solution of p% of 200p³ is,
⇒ p% of 200p³ = 2p⁴
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How do I do proofs? What’s the next step
Answers
∠AOB+∠AOX=180
∠ZOX+∠AOX=180
Subtracting the first equation from the second, we get ∠ZOX-∠AOB=0. Adding ∠AOB to both sides, ∠AOB=∠ZOX=6x+5=80. Subtracting 5 from both sides, we get 6x=75 and x=12.5 by dividing both sides by 6
If 1 inch = 2.5 centimeters, how many centimeters are there in 40 inches
Answers
Final answer:
To convert 40 inches to centimeters, multiply the number of inches (40) by the conversion factor (2.54 cm/inch), which equals 101.6 centimeters.
Explanation:
To calculate how many centimeters are in 40 inches, we use the conversion factor that 1 inch is exactly equal to 2.54 centimeters. Knowing this, we can simply multiply the number of inches by the conversion factor to get the measurement in centimeters.
Determine the number of inches to be converted (in this case, 40 inches).
Multiply the number of inches by the conversion factor (2.54 cm for every 1 inch).
Calculation: 40 inches × 2.54 cm/inch = 101.6 centimeters.
Therefore, there are 101.6 centimeters in 40 inches.
A die is rolled 13 times. what is the probability of at least two 2's appearing? (round your answer to four decimal places.)
Answers
[tex]\text{Pr(at least two 2's) = 1 - Pr(1 2) - Pr(no 2's)}[/tex]
[tex]\text{Pr(1 2's)} = \binom{13}{1}\left( \frac{1}{6}^{1} \cdot \frac{5}{6}^{12}\right)[/tex]
[tex]\text{Pr(no 2's)} = \left(\frac{5}{6}\right)^{13}[/tex]
[tex]\therefore \text{Pr(at least two 2's)} = 0.663530036... \text{ (by calculator work)}[/tex]
How does the graph of g(x)=⌈x⌉+7 differ from the graph of f(x)=⌈x⌉?
The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted right 7 units.
The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted up 7 units.
The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted left 7 units.
The graph of g(x)=⌈x⌉+7 is the graph of f(x)=⌈x⌉ shifted down 7 units.
Answers
Hope I helped :)
Answer:
Step-by-step explanation:
Stretch pulling the graph up/down
Which are perfect squares? Check all that apply. 49 17 g 143 225
(need answer NOW plssss)
(90 points)
Answers
9,
and
225
are all perfect squares.
I hope this helps you!
Brainliest if satisfied :D
Would mean a lot
We have that the 49 and 225 are the Perfect squares
Perfect squares
Question Parameters:
49 17 143 225Generally, Perfect Square are gotten by multiplying two equal numbers
Therefore
49 and 225 are square rooted to attain 7 and 15
Hence, The are the Perfect squares
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Please help I really need it.
use the profit function to calculate Wacky widget company's break even point rounded to the nearest widget. 0=90w-(57w+5000)
Answers
Round 977.259856871 to 3 decimal places
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look at the number to the right of 9, it is 8, and 8 > 5. IF the number is 5 or greater, round up.
so your answer is 977.260
hope this helps
The third decimal place is 9.
The number after that is above 5, so round up.
Your answer should be 977.260
You are asked to distribute 10 balls into three groups: 2 balls, 3 balls, and 5 balls. (a) if the 10 balls are indistinguishable, how many different arrangements can you have
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how do you condense logX times log2
Answers
JIMMMMMM
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y ≥ −3x + 3
y is less than 3 over 2 times x minus 6
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−6, 3) included in the solution area for the system? Justify your answer mathematically. (4 points)
Answers
<= means less than or equal to
---------------------------------------------
Part A
The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.
The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)
--------------
The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.
The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)
--------------
If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions.
---------------------------------------------
Part B
Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not
For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.
Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3
We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas.
Answer:
The point (-6,3) is not included in the solution area for the system.
Step-by-step explanation:
The given inequities are
[tex]y\geq -3x+3[/tex] .... (1)
[tex]y<\frac{3}{2}x-3[/tex] .... (2)
Part A: The related equations are
[tex]y=-3x+3[/tex]
[tex]y=\frac{3}{2}x-3[/tex]
Put x=0 in the above equation to find the y-intercept and put y=0, to find the x-intercept.
[tex]y=-3(0)+3=3[/tex]
The y-intercept of first equation is 3.
[tex]0=-3x+3\Rightarrow x=1[/tex]
The y-intercept of first equation is 1.
[tex]y=\frac{3}{2}(0)-3=-3[/tex]
The y-intercept of second equation is -3.
[tex]0=\frac{3}{2}x-3\Rightarrow 2[/tex]
The y-intercept of first equation is 2.
The related line of inequality (1) is a solid line because the sign of inequality is ≥ and the related line of inequality (2) is a dotted line because the sign of inequality is <.
Shaded portion of first inequality is above the related line and the shaded portion of second inequality is below the related line.
The solution area is shown in the below graph.
Part B: The point (−6, 3) is not included in the solution area for the system.
Check the given inequalities by the point (-6,3).
[tex]3\geq -3(6)+3[/tex]
[tex]3\geq -18+3[/tex]
[tex]3\geq -15[/tex]
This statement is false.
Therefore the point (-6,3) is not included in the solution area for the system.
HELP!!!!!!!! PLZ!!!!!!!!WILL GIVE BRAINLIEST!!!!!!!! :)
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Lia’s parents allow her to work a maximum of 15 hours per week overall. Lia’s goal is to earn at least $120 per week.
1.)Write a system of inequalities to represent this situation. Let r be the number of hours worked at the restaurant, and let y be the number of hours of yard work.
2.)Graph the inequalities.
3.)What is the maximum number of hours Lia can work at the restaurant and still meet her earnings goal? Explain.
4.)What is the maximum amount of money Lia can earn in 1 week? Explain.
Answers
r>=5
8r+12y>=120
(3) assuming she will work 15 hours, y = 15-r
so
8r + 12(15-r) >= 120
8r+180-12r>=120
-4r+180>=120
-4r >= -60
r <= 15
looks like she could work all 15 hours and still make 120 dollars
(4) r= 5 required hours in the restaurant then
8r + 12(15-r)= 160
True or false a positive slope goes up as you move from left to right along the x-axis.
Answers
A train leaves little rock, arkansas, and travels north at 70 kilometers per hour. another train leaves at the same time and travels south at 55 kilometers per hour. how long will it take before they are 375 kilometers apart?
Answers
To find (t) or time, you will want to start by combining like terms, so that the equation is: 125(t) = 375
Dividing the equation by 125 so that (t) will be separated from all other factors
125(t) = 375
------------------ ==> (t) = 3 hours
125
Write an equation to represent: four-fifths of z added to six equals eight
A) 4/5 z + 6 = 8
B) 4/5 + 6z = 8
C) 4/5 (6)(z) = 8
D) 4/5 (6) + z = 8
Answers
4/5z + 6 = 8...its A
Answer:
Option A - [tex]\frac{4}{5}z+6=8[/tex]
Step-by-step explanation:
To find : Write an equation to represent : four-fifths of z added to six equals eight ?
Solution :
The expression is 'four-fifths of z added to six equals eight',
Write in number term by term,
four-fifths of z is [tex]\frac{4}{5}z[/tex]
four-fifths of z added to six is [tex]\frac{4}{5}z+6[/tex]
four-fifths of z added to six equals eight is [tex]\frac{4}{5}z+6=8[/tex]
Therefore, The representation is [tex]\frac{4}{5}z+6=8[/tex]
So, Option A is correct.
Nellie and her younger sister Debbie share expenses on a holiday. Nellie spends $122 more than Debbie. Their total expenses amount to $840.
Answers
On the average, actively managed mutual funds have an expense ratio of about __________ .
a. 5 percent
b. 3 percent
c. 2.5 percent
d. 1.5 percent
Answers
And here's a quizlet link to help you
https://quizlet.com/81564997/finn-3003-ch-17-flash-cards/
What is the value of x when f(x) 25?
Answers
I hope this right if not let me know hope I helped and didn't srew u up good luck
The question wants to find the value of x when f(x) equals 25. The exact value cannot be determined without the clearly defined function f(x). The value of x can vary depending on the definition of the function.
Explanation:
This is a function notation question where you want to find the value of x when f(x) equals 25. The information provided is not sufficient to determine the exact value of x since the function f(x) is not clearly defined. Depending on the function definition, the value of x when f(x) = 25 can vary. For example, if the function is f(x) = 0.25e(-0.25x), then the value of x would be calculated differently than if the function was f(x)=5x or f(x)=x^2. I'd recommend checking your question again and confirming the function's correct formula or equation for an accurate solution.
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Determine the growth defined by the equation y=3(3.4)x
Answers
Answer:
Exponential growth.
What is the difference of squares of twenty and thirteen
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Have an Awesome Day :)
8 bits is enough to represent 256 different numbers. how many total bits do you need to represent 512
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8 bits is enough to represent 256 different number than total 9 bits are represent 512 different numbers as;
2⁸ = 256
and,
2⁹ = 512
8 and 9 are number of bits.
In a cross-country race with a 35 participants, the mean finish time was 21 minutes . Which statement must be true ?
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A bank charges $5.00 per month plus $.30 per check for a standard checking account. Find the number of checks Justine wrote if she paid $8.30 in fees last month.
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8 tens 5 hundredths = thousandths
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What is the equation of the quadratic function with roots -3 and 1 and a vertex a (-1, -8)?
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y-[-8] = a(x-[-1]), or y+8 = a(x+1)^2. The coefficient a is undetermined here. How do we find it?
At any root, y=0, as a "root" is a point at which the graph crosses the x-axis.
Thus, if we choose to work with the given root 1, the associated point is (1,0). Substitute these coordinates into the above equation y+8 = a(x+1)^2.
We get 0+8 = a(1+1)^2, or 8 = a(2)^2, or 8 = 4a, or a = 2.
Substituting this value for a into the above equation,
y+8 = 2(x+1)^2.
You should check this result by determining whether the other root (-3,0) satisfies this equation. If yes, then you'll know for certain that this equation correctly describes the parabola in question.
A group of 156 tourists had enough food for a stay of 125 days in a mountain. however just before they left, n tourists left the group, this meant that the group had enough food to lengthen their stay for another 70 days. how many left the group?
please show your steps.
Answers
There is enough food for 156*125=19500 person-days.
If the food can last (125+70)=195 days, there are
19500 person-days / (195 days)
= 100 persons