Determine whether y varies directly with x. If so, find the constant of variation k write the equation
Answer:
It varies directly
k = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Table:
x y
7 11
8 13
9 15
10 17
Problem:, determine if y varies directly as x
Solution:
The equation to determine if they vary directly is;
y ∝ x
y = kx
From the table, y varies directly as x. As y increases, x also increases.
To find k, use any convenient value of y and x ;
y = 15 and x = 9;
15 = k x 9
k = [tex]\frac{15}{9}[/tex] = [tex]\frac{5}{3}[/tex]
C. Assume you are putting 10 gallons of gas a week in your car for 4 weeks at $2.25 a
gallon. How much are you spending on gas every month? |I
Answer:
22.50
Step-by-step explanation:
What is the equation 8x-7=4x+21
Answer:
x=7
Step-by-step explanation:
8x−7=4x+21
Step 1: Subtract 4x from both sides.
8x−7−4x=4x+21−4x
4x−7=21
Step 2: Add 7 to both sides.
4x−7+7=21+7
4x=28
Step 3: Divide both sides by 4.
4x
4
=
28
4
2x+b=w,for x i need to know what this answer is
Answer:
Let's take this step by step:
2x+b=w
2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)
2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)
2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)
x=w-b/2
Step-by-step explanation:
25 points help me please
Answer:
we need to know what the question is.
Step-by-step explanation:
Write an expression that is equivalent to 5^-3
Answer:
1/125
Step-by-step explanation:
=1/5*5*5
=1/5^3
=1/125
Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:
5^-3 = 1/(5^3)
Which triangle has 0 reflectional symmetries?
A triangle has all different side lengths and angle measures.
A triangle has all equal side lengths and angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.
A triangle has 2 equal side lengths and 2 equal angle measures.
Answer:
A
Step-by-step explanation:
A triangle has all different side lengths and angle measures have? 0 reflectional symmetries . Option A is correct.
Which triangle has 0 reflectional symmetries to determine.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
For a triangle that has 0 reflectional symmetries implies the triangle must be of irregular shape. Every measure must not be identical. If any measure in the triangle is not the same means every side and angle has a different measure. So it is impossible to find any axis of symmetry within the triangle
Thus, a triangle has all different side lengths and angle measures have? 0 reflectional symmetries. Option A is correct.
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operaciones complejas raiz de -100
Answer:
Step-by-step explanation:
10 i
es esto
since i tried looking it up and it gave me a dum answer heres the real answer since i got it wrong lol
The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to determine the area, a, of a trapezoid with height, h, and base lengths, b1 and b2. Which are equivalent equations? Check all that apply.
StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction a Over 2 h EndFraction minus b 2 equals b 1. – b2 = b1
StartFraction 2 a minus b 2 Over h EndFraction equals b. = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
StartFraction a Over 2 left-parenthesis b 1 plus b 1 right-parenthesis EndFraction equals h.= h
Answer:
the answer to your question is A and D i just got it right
Step-by-step explanation:
i hope this helps your welcome
StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1
StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h
Answer:
A and D
Step-by-step explanation:
correct on edge
U read 105 pages of a novel over 7 days.What is the mean number of pages you read each day.PLs answer this to get brainiest:)
Answer:
The mean is 15 pages a day.
Step-by-step explanation:
105/7=15
0.333 repeating times 15. Please help me out and answer this question.
Answer:
4.995
Step-by-step explanation:
While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
Length of the rope holding Kayla to the boat = 240 meters
Horizontal distance of Kayla from the boat = x = 181 meters
Let the distance of Kayla above the boat = y meters
Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,
x² + y² = (240)²
(181)² + y² = (240)²
y = [tex]\sqrt{57600-32761}[/tex]
= [tex]\sqrt{24839}[/tex]
= 157.6 meters
Therefore, vertical distance between Kayla and boat is 157.6 meters.
Option (4) will be the answer.
If a population consists of 540,000 people and a census is taken, how many
people are sampled?
A 5400
B. 540
C. 540,000
D. 54,000
The number of people who are sampled in the census is the whole population which is, 540,000.
Given that,
Size of the population = 540,000
We have to take a census regarding something which is not mentioned for this population.
In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.
So there can't be a sample which contains less number of individuals or units for taking the information.
So the whole population of 540,000 people are included in the sample.
Hence the correct option is C, which is 540,000.
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Please help! I'm in a hurry
Answer:
the answer is 62
Step-by-step explanation:
you take 180 and subtract 118
Answer:
The answer should be 62, but i'm not positive so correct me if i'm wrong!
Explanation:
What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)
Please help me solve this problem!! (Algebra 1)
m≥5m-4
Answer:
Step-by-step explanation:
M is less than or equal to 1
A local charity collected 163 cans of food
every day for 14 days. How many cans did they collect
in the first 10 days? How many did they collect in the
remaining 4 days? How many cans did they collect in
all? Solve this problem any way you choose!
Answer:
This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?
Step-by-step explanation:
what is the unit rate for $1.99 per pound
Answer:
1.99 per pound means the cost of 1 pound is 1.99!!
Step-by-step explanation:
Unit rate means the rate of 1 item
How do u solve this question?
Answer plz x thanks x
to solve this you would use pythagorean theorm which is a^2+b^2=c^2.
The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.
13t+6=12t +21
What value of/ makes the equation true?
Answer:
t=15
Step-by-step explanation:
Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)
Answer:
the answer should be 7a^3-4a^2-2a-87
Which of these tables represents a linear function?
Answer:
B.
3 6
4 5
5 4
6 3
Step-by-step explanation:
As the x increases the y decreases
And there has to be a constant rate of change
The equation would be y = -x + 9
what is the value of the power a if 5^a=1/125
See attachment for math work and answer.
HELP ME, PLEASE.
find x:
[tex](x-1)\sqrt{x^{2}-2x+4 }+(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]
Answer:
x=2
Step-by-step explanation:
Step-by-step explanation:
x=2to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]
to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]
[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex][tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]
theirs 2 questions please help?
Answer:
"past" is one
Step-by-step explanation:
Answer:
past is one okkkk kkkkjjjjj
A windmill has eight equally spaces blades that rotate in the clockwise direction How many degrees must blade P rotate to reach location blade U?
a
225 degrees
b
45 degrees
c
120 degrees
d
180 degrees
Answer:
Option (A)
Step-by-step explanation:
Windmill is in the shape of a circle and each blade of the windmill is equally spaced.
There are 8 spaces in the windmill shown.
Therefore, angle between each blade = [tex]\frac{360}{n}[/tex]
Where n = number of blades
Angles between each blade = [tex]\frac{360}{8}[/tex]
= 45°
To reach the position of blade U by blade P will cover 5 angles between the blades.
Therefore, angle of rotation covered by P to reach U = 5×45° = 225°
Option (A) will be the correct option.
3√5•3√2 =
A. √10
B. 9√10
Which one?
Work Shown:
[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]
The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
Please help Find sin and csc.
What is 5.336 rounded to the nearest tenth of an ounce?
Answer:
5 because its a 3 so you cant round up so you round down.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped
If there are 40,075 km around the whole world, how many km will you drive if you went around the whole world 5 times?
Answer:
200,375
Step-by-step explanation:
just multiply 40,075 by 5