The constant of variation given that r varies directly with p and inversely with the product of s and t is one-half
From the question given above,r ∝ p ∝ 1/st
r ∝ p / st
r = Kp / st
Cross multiply
r × st = Kp
Divide both side by p
K = rst / p => constant of variation
How to determine the constant of variation p = 12t = 2 s = one-sixth = 1/6r = 18Constant of variation (K) =?K = rst / p
K = (18 × 1/6 × 2) / 12
K = 6 / 12
K = 1 / 2 = one-half
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Need this quick! : Transformations, Congruence, and Similarity
Answer:
xz=cb = 45/60 = .75
zy=ab = 30/40 = .75
xy=ac = 37.5/50 = .75
Step-by-step explanation:
all lines when put into ratio format show .75 scale factor big to little triangle side lengths.
What is the solution of 4+ 5x+66 = x+ 10? O x = -10 Ox=3 O x=-10 or x = 3 O no solution
Hey there!
4 + 5x + 66 = x + 10
70 + 5x = x + 10
5x + 70 = x + 10
SUBTRACT x to BOTH SIDES
5x + 70 - x = x + 10 - x
5x + 70 - 1x = 1x + 10 - 1x
SIMPLIFY IT!
4x + 70 = 10
SUBTRACT 70 to BOTH SIDES
4x + 70 - 70 = 10 - 70
SIMPLIFY IT!
4x = -60
DIVIDE 4 to BOTH SIDES
4x/4 = -60/4
SIMPLIFY IT!
x = -60/4
x = -15
Therefore, your answer is: x = -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
x = -15Step-by-step explanation:
Given :
4 + 5x + 66 = x + 10#1 : Combine like terms on each side.
4 + 5x + 66 = x + 105x + 70 = x + 10#2 : Subtract x from each side.
5x + 70 - x = x + 10 - x4x + 70 = 10#3) Subtract 70 from each side.
4x + 70 - 70 = 10 - 704x = -60#4) Divide 4 from each side.
4x/4 = -60/4x = -15Solution : x = -15
Please help!!
Find the measure of the arc or angle indicated.
A. 60°
B. 90°
C. 30°
Answer: A
Step-by-step explanation:
!!20 points and Brainliest!!!! Make sure to explain!!!
Which of the following would best be solved using completing the square?
A) 2x^3 - 12x^2 + 5x - 30 = 0
B)5x^2 + 7x = 12
C) x^2 = 81
D) x^2 + 4x - 21 = 0
Answer:
D) x^2 + 4x - 21 = 0
Step-by-step explanation:
1st q pls help i dont under stand how the answer is 12000
Answer:
See below
Step-by-step explanation:
1/3 (300000) = 100 000 80% of this = 80 000
2/5 (300000) = 120000 125% of this = 150 000 total so far = 230 000
Overall 10% profit would yield 300000(1.1) = 330 000
the remaining land needs to sell for
330 000 - 230000 = 100 000
Select all of the statements that are true
Answer:
a and c
Step-by-step explanation:
answer this pls
pls answer
Answer:
1/12
Step-by-step explanation:
Given
5/14 x 7/30Solving
This can easily be solved by using cross-multiplicationIf we are given a fraction a/b, it can be rewritten as a x 1/b⇒ 5 x 1/14 x 7 x 1/30Now combine (7 and 1/14) and (5 and 1/30)⇒ 7 x 1/14 x 5 x 1/30⇒ 7/14 x 5/30⇒ 1/2 x 1/6⇒ 1/12Answer:
[tex]\dfrac{1}{12}[/tex]
Step-by-step explanation:
Rewrite the denominators as products of factors, then cancel the common factors.
[tex]\begin{aligned}\dfrac{5}{14} \times \dfrac{7}{30} & =\dfrac{5}{2 \cdot 7} \times \dfrac{7}{6 \cdot5}\\\\ & = \dfrac{5 \cdot 7}{2 \cdot 7 \cdot 6 \cdot 5}\\\\ & = \dfrac{1}{2 \cdot 6}\\\\ & = \dfrac{1}{12}{\end{aligned}[/tex]
anthony scored 8 goals in the second round. this made his total score 39. how many points did he score in the first round
Answer:
He had 31 points in the first round.
Step-by-step explanation:
Answer:
39-8= 31
Step-by-step explanation:
let the first round be x
second round =8
first round + the second round = 39
therefore, x+8=39
collect like terms
x= 39-8= 31.
so the answer is 31
Does anyone know #13????
select the correct answer what is the average rate of change of f(x), Who represented by the graph over the interval [0,2]?
A.2
B.1
C.0.5
D.-0.5
Please help me!
thanks
also please answer this it makes no snese
Answer:
? = 106°
Step-by-step explanation:
the 2 angles marked with double arcs are equal
the sum of the interior angles of a quadrilateral = 360° , then
63° + 85° + 2? = 360° , that is
148° + 2? = 360° ( subtract 148° from both sides )
2? = 212° ( divide both sides by 2 )
? = 106°
Alicia is mixing paint. She has a bucket that contains 5 1/2 pints of paint. She adds 1/4-pint containers of paint to the bucket until she has at most 8 3/4 pints of paint in the bucket.
Answer:
13 times?
Step-by-step explanation:
From 5 1/2 to 8 1/2 she needs to add 3 * 4 = 12 times since 1 paint = 4 pint
then she just needs to add 1 more to become 8 3/4
12 + 1 = 13
The order is 0 -> 1/4 -> 1/2 -> 3/4 -> 1
Megan randomly throws a dart at the square. Assuming the dart lands within the square, what is the probability that the dart lands within the dartboard? round your answer to the nearest tenth of a percent. %
The probability that the dart lands within the dartboard given the area of the dartboard and the square is 78.6%.
What is the probability?
Probability is the odds that an event would happen. The odds the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the dart lands within the dartboard = area of the dartboard / area of the square
25π / 100
(25 x 3.14) / 100 = 78.6%
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Answer:78.5 is the answer
Step-by-step explanation:
factor using the greatest common factor (GCF)
4x² + 14
Answer:
2(2x^2 + 7)
Step-by-step explanation:
The GCF is 2.
2(2x^2 + 7)
Simplify
2/3 - 5/6•8
A) -4
B) -6
C) -22/3
D) -4/3
Answer:
B) -6
Step-by-step explanation:
5/6 x 8 = 5/6 x 8/1 = 40/6 / 2 = 20/3 = 2/3 - 20/3 = -18/3 / 3 = -6
The approximate salary, in thousands, earned each year for the first five years is $400, $420, $441, $463, and $486. explain how you can evaluate the fifth partial sum. what does the fifth partial sum represent?
The fifth partial sum represents the sum of the first 5 terms in the sequence is equal to 2210.
The fifth partial sum represents the sum of the first 5 terms in the sequence.
What is the partial sum of sequence?The partial sum of a sequence gives the sum of the first n terms in the sequence.
Thus, the fifth partial sum represents the sum of the first 5 terms in the sequence.
The given geometric sequence :
$400, $420, $441, $463, and $486.
The fifth partial sum of the above sequence will be :
$400+ $420+ $441+$463+$486=$2210
Therefore, the fifth partial sum represents the sum of the first 5 terms in the sequence equal to 2210.
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Answer:
Add the five terms.
Use the formula for the fifth partial sum.
The fifth partial sum represents the total amount of money the athlete earns over the first five years.
Step-by-step explanation:
i am stuck i need help on this one
Answer:
B is the answer you were right
so sorry if I am wrong but I am really sure that is the answer
Jim took 2 hours to take a test. He figured it took him 4
minutes to answer a multiple choice question, 8 minutes to
do a problem of just calculations, and 12 minutes to
complete a word problem. There were 15 questions and
he answered the same number of calculation problems as
word problems. How many multiple choice questions did
he answer?
Answer: it would be 5
Step-by-step explanation: i hope this helps
Triangle ABC is given. If cos(A) = , what is sin(B)? A. B. C. D.
Answer:
cosB = cos (π/2-A)
= sinA
=8/9
Step-by-step explanation:
Renee is buying Halloween candy. She wants to buy candy bars and lollipops and spend no more than $28. Each candy bar costs $0.45 and each lollipop costs $0.25. Which inequality represents the possible combinations of x, the number of candy bars, and y, the number of lollipops Renee can buy?
The inequality that represents the possible combinations of candy bars and lollipops that he can buy is given by:
[tex]0.45x + 0.25y \leq 28[/tex]
What is the inequality that models this situation?The total price can be no more than $28, hence:
[tex]T \leq 28[/tex]
Each candy bar costs $0.45 and each lollipop costs $0.25. x is the number of candy bars and y of lollipops. Hence, the total price is given by:
T = 0.45x + 0.25y.
Hence, the inequality that models the situation is:
[tex]0.45x + 0.25y \leq 28[/tex]
More can be learned about inequalities at brainly.com/question/25235995
Several points appear on the number line, which shows numbers from 0 through 1. On the number line, point M represents 0.25. What fraction does point M also represent on the number line?
Select one:
1/3
1/25
1/5
1/4
Step-by-step explanation:
what happens, when we actually calculate the given fractions ?
after all, a fraction is always a division.
so,
1/3 = 0.3333333333...
1/25 = 0.04
1/5 = 0.2
1/4 = 0.25
aha !
1/4 is the correct answer.
Please help me with the answers and I’ll just graph them
Answer:
Step-by-step explanation:
Solve for the value of x:-
[tex]4x-5 = 3[/tex]
[tex]4x-5 = 3[/tex]
[tex]4x = 8[/tex]
[tex]x = 8÷4[/tex]
[tex]x = 2[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \large \textbf{Let's evaluate~} [/tex]
[tex] \textsf{4x - 5 = 3} [/tex][tex] \textsf{4x = 5 + 3} [/tex][tex] \textsf{4x = 8} [/tex][tex] \textsf{x = 8 ÷ 4} [/tex][tex] \textsf{x = 2} [/tex]Roy worked part time over the summer and charged $15 an hour to mow lawns. How much money would he have made if it took him three hours to mow the Robertson's lawn? (help me pls)
Answer:
$45
Step-by-step explanation:
Since he charches $15 per hour you just multiply 15 and 3 and you get $45.
Calculate the length labeled x
Image above! PLEASE HELP ME WITH THESE 2 QUESTIONS ILL GIVE YOU BRAINLIST ANSWER
Answer:
Top-
11.5 or the square root of 133
Bottom-
15.3 or the square root of 235
Answer:
c) [tex]x=\sqrt{133}[/tex]
d)[tex]x=\sqrt{235}[/tex]
Step-by-step explanation:
Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]
c) Solve for that side length and then solve for x
[tex]4^2+y^2=10^2\\y=\sqrt{133} \\(\sqrt{84} )^2+7^2=x^2\\x=\sqrt{133}[/tex]
d) Solve for that side length and then solve for x
[tex]5^2+y^2=10^2\\y=\sqrt{(16^2-5^2)} \\(\sqrt{231} )^2+7^2=x^2\\x=\sqrt{235}[/tex]
The shaded parts of the fraction bar below represent a fraction.
A fraction bar is divided into 3 parts. 1 part is shaded.
Which bar models an equivalent fraction?
The answer is the last bar model.
The orignal model is 1/3 and the last model has 4/12 shaded and divide that by 4 you get 1/3 have a good day.
A tessellation could be created using parallelograms like the one shown below.
True or False?
Answer:
A. : True hope this helps someone
Step-by-step explanation:
A tessellation could be created using parallelograms like the one shown below is true.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Tessellations can be created using a variety of shapes, including parallelograms.
A tessellation is a repeating pattern of shapes that completely covers a plane without any gaps or overlaps.
In a parallelogram tessellation, the parallelograms would fit together like puzzle pieces to fill the plane.
Thus,
A tessellation could be created using parallelograms like the one shown below is true.
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Which quantity could go in the blank to make the equation below true?
x + 2x +_____=5x
In Manchester, 3 of the 18 radio stations play country music.
What is the probability that a randomly selected station will play country music?
Write your answer as a fraction or whole number.
P(country) =
Answer:
There is a one in six chance that a randomly selected radio plays country music.
Step-by-step explanation:
There is a 3/18 chance but that can be simplified if you divide both sides by 3 to get 1/6