Answer:
x = 2.
Step-by-step explanation:
y = k/x
11 = k/1
so k = 11
y = 11/x
When y = 5.5:
5.5 = 11/ x
x = 11/5.5
= 2.
The values of x and y vary inversely, if the value of y is 5.5 then the value of x will be equal to 2.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the information provided in the question,
y = k/x
11 = k/1
k = 11
y = 11/x
If y = 5.5,
5.5 = 11/ x
x = 11/5.5
x = 2.
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Three line segments have measures of 17 units, 11 units and 12 units. Will the segments make a triangle?
Answer:
Yes
Step-by-step explanation:
Yes, they will form a triangle. This is so because when testing for, we use the simple and logical analysis of
Adding up the two shorter sides > the third longest side.
In the example of the question we have here. The two short sides are 11 and 12 respectively. Adding them up together, we have
11 + 12 = 23
And the third longest side to be 17. Now, is 23 greater than 17 or not?
Of course it is, so yes, the sides will form a triangle.
Tom exercises 4/5 hour on Monday and 5/6 hour on Tuesday
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Answer: Most likely he will exercise 6/7 hours on Wednesday!
Explanation:
I hope this helped!
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please answer xoxo will mark brainliest
Answer:22:2x10x10x10x10x10x10x10x10x10x10... 23:3.4x10 divided by 2.... 24:1.5x10 divided by 9...... 25:5.9x10x10x10x10x10x10x10x10x10x10.... 26: 4.8 x 10 divided by 3..... 27: 6.25x10x10x10x10x10.
Step-by-step explanation:I divide because on some of them it's a negative power so instead of multiplying I'll divide. Hope this helps
Hence calculate the value of
[tex] \frac{ {2}^{2010} + {2}^{2012} + 10}{ {2}^{2009} + {1}^{}{} }^{} [/tex]
Answer:
10
Step-by-step explanation:
Let [tex]x=2^{2009}[/tex]:
[tex]\frac{2x+2^3x+10}{x+1}=\frac{10x+10}{x+1}=\frac{10(x+1)}{x+1}=10[/tex]
What is the slope of the line shown?
Answer:
m=-4/3
Step-by-step explanation:
One side of a triangle is 7 and another side is 10. Which of the values below could
be the third side of the triangle?
x is the third side of the triangle, we have:
7 + 10 > x > 10 - 7
<=> 3 < x < 17
so the answer is C. III and IV only
Answer:
C
Step-by-step explanation:
given 2 sides of a triangle, then the third side, x , is in the range
difference of 2 sides < x < sum of 2 sides , that is
10 - 7 < x < 10 + 7
3 < x < 17
The only values in the list between 3 and 17 are 4 and 16.
That is III and IV only → C
Could someone explain how to do this please,I don’t get it
9514 1404 393
Answer:
B. 51
Step-by-step explanation:
In statistics, "range" generally means the difference between the maximum and the minimum. To find the range of these numbers, locate the maximum (54) and the minimum (3) and find their difference:
54 -3 = 51
The range of the numbers is 51.
_____
Additional comment
The range is used for a variety of purposes. In some cases, it can be used to estimate the variance. In other cases, it can be used to choose bin boundaries for a histogram or other chart of values.
This use of the term "range" should not be confused with the idea of the "range" of a function. That is the list (or description) of all function values.
The price of a technology stock was $9.84 yesterday. Today, the price fell to $9.73. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
1.1 percent
Step-by-step explanation:
[(9.73 - 9.84) / 9.84 ] * 100 = -1.1 percent change = 1.1 percent decrease
Use what you know about the angle sum theorem for triangles and your algebra skills to solve for x and find the measure of all three angles:
Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
Can three line segments with the given lengths form a right triangle?
Drag each set of lengths into the correct box.
12, 35, 37
16, 30, 34
18, 24, 42
20, 21, 29
Yes
No
Answer:
Yes
12, 35, 37
16, 30, 34
20, 21, 29
No
18, 24, 42
Step-by-step explanation:
Required
Determine which length form a right triangle
To do this, we make use of Pythagoras theorem where the square of the largest length = the sum of the squares of the other lengths
So:
(1) 12, 35, 37 --- Yes
[tex]37^2 = 35^2 + 12^2[/tex]
[tex]1369 = 1225 + 144[/tex]
[tex]1369 = 1369[/tex]
(2) 16, 30, 34 --- Yes
[tex]34^2 = 16^2 + 30^2[/tex]
[tex]1156 = 256 + 900[/tex]
[tex]1156 = 1156[/tex]
(3) 18, 24, 42 --- No
[tex]42^2 =18^2 + 24^2[/tex]
[tex]1764 =324 + 576[/tex]
[tex]1764 =900[/tex]
[tex]1764 \ne 900[/tex]
(4) 20, 21, 29 -- Yes
[tex]29^2 = 20^2 + 21^2[/tex]
[tex]841= 400 + 441[/tex]
[tex]841= 841[/tex]
Based on the Pythagorean Triple, "12, 35, 37", "16, 30, 34" and "20, 21, 29" will form a right triangle(YES), while "18, 24, 42" will not (NO).
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.
Thus, find out which set of lengths will form a right triangle:
12, 35, 37 will form a right triangle, because:
37² = 35² + 12²
1,369 = 1,369
Also, the rest set of lengths will form a right triangle except, "18, 24, 42".
Thus, based on the Pythagorean Triple, "12, 35, 37", "16, 30, 34" and "20, 21, 29" will form a right triangle(YES), while "18, 24, 42" will not (NO).
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the tax rate is 8.5% what is the tax on $95 round to the nearest hundredth
Answer:
this should be right 103.075
Step-by-step explanation:
Perform the operation.
(-8x² + 10x + 4) – (-4x + 10)
Answer:
-8x^2 + 14x -6
Step-by-step explanation:
Answer:
- 8x² + 14x - 6
Step-by-step explanation:
Given
(- 8x² + 10x + 4) - (- 4x + 10)
Distribute the parenthesis, noting to distribute the second one by - 1
= - 8x² + 10x + 4 + 4x - 10 ← collect like terms
= - 8x² + 14x - 6
help me Please help me please help me please help me please
Answer:
second box is 5 and third bo is 40 and forth box is 0.25 I think! Sorry if it’s wrong!
Step-by-step explanation:
you divide them all by four.
Answer: the first blank would be 5 the second blank would be 40 and the last blank would be 4. The constant of proportionality is 4
Dante buys 6 1/6 pounds of turkey and ham at the store. The weight of the turkey is 3 1/2 pounds. Which equation and solution shoes how much ham Dante bought?
A. 6 1/6 + 3 1/2=h h = 9 2/3
B. 3 1/2 +h = 6 1/6 h = 2 2/3
C. h − 3 1/2 = 6 1/6 h = 9 2/3
D. 3 1/2h = 6 1/6 h = 1 16/21
Answer:
prob a
Step-by-step explanation:
To lease his car, Greg had to pay a $1000 down payment, plus $250 per month. Write an equation that represents the total amount paid. DO NOT PUT ANY SPACES IN YOUR ANSWER.
Answer:
250x+1000
Step-by-step explanation:
The linear equation that represents the total amount paid is 1000 + 250x.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given,
Amount of down payment = $1000
Per month payment = $250
For x number of months = $250x
Total paid = 1000 + 250x
Hence "The linear equation that represents the total amount paid is 1000 + 250x".
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Where does the graph of y = 4x + 24 intersect the x-axis?
Answer:
(-6, 0)
Step-by-step explanation:
y = 4x + 24
Plug y = 0
0 = 4x + 24
4x = - 24
x = - 24/4
x = - 6
So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)
Answer:
at point x= -6
Step-by-step explanation:
4x+24=0
4x=-24
x=-24/4
x=-6
Out of 1,200 students that attend Norman Rockwell Middle School, how many would most likely sign up for after school tutoring, if 48 out of 80 students randomly surveyed said they would like to have extra help after school?
Answer:
720
Step-by-step explanation:
Out of 80 students the no. of students who sign up=48
So, out of 1200 students 48×1200÷80=720 students sign up.
PLEASEEEE HELPPPPPP!!!!
Answer:
Step-by-step explanation:
LOL even I dont know
Parallelogram ABCD has
coordinates A(1,5), B(6,3),
C(3,1), and D(2,1). What are the
coordinates of E, the intersection
of diagonals AC and BD?
Answer:
Step-by-step explanation:
Solve for x.each figure is a parallelogram.show steps
Answer:
opposite sides of a parallelogram are equal
2x+15=x+15
2x-x=15-15
x=0
Answer:
x = 0
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, that is
ST = RU , substitute values
2x + 15 = x + 15 ( subtract x from both sides )
x + 15 = 15 ( subtract 15 from both sides )
x = 0
Are these shapes congruent??
Answer:
No
Step-by-step explanation:
Please help.
Simplicity
Answer: -10x+38
Step-by-step explanation:
Take your given equation
-2(3x-5)+4(7-x)
Distribute the -2 and 4 into the parenthesis'
-6x+10+28-4x
Combine like terms
-10x+38
The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?
plz answer in comments i have ads
Answer:
All you would do is times 12 by .15 or 15% you get 1.8 then all you do is 12 minus 1.8 you get $10.20 that is the price of a discounted pizza
I hope this helps
last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d
Answer:
E. 1d+0.015d
G. 1.015d
Step-by-step explanation:
A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.
2X+3X+50=180
X=WHAT
PLEASE HELP ASAP
Answer:
X=26
Step-by-step explanation:
Answer:
X=26
Step-by-step explanation:
hope this helps
angle A and angle B are supplementary angles. If m angle A=(7x+14)^ and m angle B=(5x-26)^ , then find the measure of angle B .
Answer:
35x^2 - 112x - 364
it's probably wrong since I've only expanded the brackets
Answer:
B = 54
Step-by-step explanation:
Question 17
5 pts
The population of fish in an aquarium can be modeled after exponential growth. If there
were originally 3 fish and after 6 weeks there were 31 fish, how many fish would there
be after 14 weeks?
321 fish
698 fish
452 fish
815 fish
Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
Jehle and Liam a bowl serving 0.5÷200 Jehle says the question will be Less than 0.5 Liam says the quotient would be more than 0.5 which student is correct
Answer:
Jehle is correct.
Step-by-step explanation:
Given - Jehle and Liam a both solving 0.5÷200.
Jehle says the quotient will be Less than 0.5.
Liam says the quotient would be more than 0.5
To find - Which student is correct ?
Proof -
Given expression is 0.5 ÷ 200
It is equivalent to
[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5
∴ we get
The expression is Less than 0.5
So, Jehle is correct.
40% of students play an instrument if 8 represents the amount of students who play an instrument how many students are in this class
Answer:
500 students
Step-by-step explanation:
which equation best matches the graph shown below ?