Answer/Step-by-step explanation:
Given that P varies directly with r, the equation for this direct variation would be:
[tex] P = rk [/tex],
Where,
P = power
r = radius
k = constant of variation.
If P = 550, when r = 11, constant of this direct variation is calculated as follows:
Plug in the values of P and r into the variation equation to find k.
[tex] 550 = 11k [/tex]
Divide both sides by 11
[tex] \frac{550}{11} = {11k}{11} [/tex]
[tex] 50 = k [/tex]
Constant of variation = 50
To find the radius (r) of the gear whose power (P) = 715, substitute P = 715 and k = 50 in the variation equation.
[tex] P = rk [/tex]
[tex] 715 = r*50 [/tex]
[tex] \frac{715}{50} = \frac{50r}{50} [/tex]
[tex] \frac{715}{50} = \frac{50r}{50} [/tex]
[tex] 14.3 = r [/tex]
r = 14.3
Maria cut 3/4 yard of ribbon into pieces that are 1/8 yard long. How many pieces of ribbon did Maria cut? don't be a b.*.t.c.h. and not solve it
===============================================
Explanation:
3/4 = 6/8 after multiplying top and bottom of the fraction by 2
She has 6/8 of a yard of ribbon.
If she cuts the ribbon into pieces of 1/8 of a yard each, then she has 6 pieces overall
We can see this if we solve the equation (1/8)x = 6/8. Multiply both sides by 8 to get x = 6.
The number of pieces of ribbon that Maria cut is 6 pieces.
Given,
Maria cut 3/4 yards of ribbon into pieces that are 1/8 yard long.
We need to find how many pieces of ribbon Maria cut.
How do we divide two fractions?We multiply one fraction with the reciprocal of the other fraction.
Example:
a/b ÷ c/d
= a/b x d/c
= ad/bc
We have,
The total length of the ribbon = 3/4 yards
The length of each piece cut from the ribbon = 1/8 yards.
The number of pieces that can be cut:
= 3/4 ÷ 1/8
= 3/4 x 8/1
= 3x8 / 4x1
= 24 / 4
= 6
Thus the number of pieces of ribbon that Maria cut is 6 pieces.
Learn more about how to divide fractions here:
https://brainly.com/question/1627825
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help pls asap fjfnfnffjfk
hElP mE plS anD ty I hAd tO rEpoSt thiS :')
Answer:
1: below its initial height.
2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?
3: I would want Mrbeast to be the President because he would help everyone.
HELP!!! Last month, there were 4 sunny days for every rainy day. If there were 30 days in the month, how many days were rainy? Explain your reasoning. If you get stuck, consider using a tape diagram.
Answer:
6
Step-by-step explanation:
Based on the ratio of sunny days to rainy days last month, there would have been 6 rainy days.
For every 4 sunny days, there is 1 rainy day. This means that every 5 days, one of those days will be rainy and 4 will be sunny.
We can therefore represent that as:
= 1/5 of any number of days will be rainy
If there are 30 days therefore, 1/5 of those 30 days will be rainy:
= 1/5 x 30
= 6 days
In conclusion, 6 days will be rainy out of 30 days.
Find out more at https://brainly.com/question/4656740.
In ΔRST, the measure of ∠T=90°, the measure of ∠S=75°, and ST = 97 feet. Find the length of TR to the nearest tenth of a foot.
9514 1404 393
Answer:
TR = 362.0 ft
Step-by-step explanation:
The tangent relation is useful for this.
Tan = Opposite/Adjacent
tan(75°) = TR/ST = TR/(97 ft)
TR = (97 ft)(tan(75°))
TR ≈ 362.0 ft
1 ≤ x + 7 < 7
explain how u got the answer plz
Answer:
-6 ≤ x < 0
Step-by-step explanation:
Subtract the 7 on both sides to get x isolated.
Answer:
-6 ≤ x < 0
Step-by-step explanation:
This is the answer because:
1) First, we have to isolate the x
2) In order to isolate the x, you have to subtract 7 from 1 and 7
1 - 7 = -6
7 - 7 = 0
Therefore, the inequality is -6 ≤ x < 0
Hope this helps! :D
can you help me with this problem.
Answer:
9.5
Step-by-step explanation:
if you divide them
28.5÷3=9.5
38÷4=9.5
47.5÷5=9.5
57÷6=9.5
the constant proportionality is 9.5. They are equal.
Answer:
For every one inch of water the snow increases by 9.5
Step-by-step explanation:
38 - 28.5 = 9.5
57 - 47.5 = 9.5
The answer is a plane
Answer:
bruh
Step-by-step explanation:
Write an equation in slope-intercept form!!!
Answer:
A. y = 7/3x + 2
Step-by-step explanation:
14x = 6y - 12
14x + 12 = 6y
y = 7/3x + 2
HOPEFULLY THIS IS NOT BLURRY PLZ HELP ME
Answer:
a. 4 b.15 c. 26. d.30
Step-by-step explanation:
i had this problem and i have the paper and i got it right so if they are wrong then i have no clue
Answer:a. 4 b.15 c. 26. d.30
Step-by-step explanation:
Hope it helps
Given that m∠ABC ≠ 0, which of the following could potentially describe the supplement of ∠ABC? Select all that apply. Assume no negative angle measures.
acute
right
obtuse
reflex
straight
Please solve this question.
Let numerator of fraction be x and denominator be y.
∴ Fraction = x/y
★ Part - A :
[tex]:\implies\tt\:\dfrac{x\times 4}{y-2}=2[/tex]
[tex]:\implies\tt\:4x=2(y-2)[/tex]
[tex]:\implies\tt\:4x=2y-4[/tex]
[tex]:\implies\tt\:2y=4x+4[/tex]
[tex]:\implies\bf\:y=2x+2\:\:\dots (1)[/tex]
★ Part - B :
[tex]:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}[/tex]
[tex]:\implies\tt\:7(x+15)=9(2y-2)[/tex]
[tex]:\implies\tt\:7x+105=18y-18[/tex]
From equation (1)...
[tex]:\implies\tt\:7x+105=18(2x+2)-18[/tex]
[tex]:\implies\tt\:7x+105=36x+38-18[/tex]
[tex]:\implies\tt\:29x=105-18[/tex]
[tex]:\implies\tt\:x=\dfrac{87}{29}[/tex]
[tex]:\implies\boxed{\bf{x=3}}[/tex]
[tex]:\implies\tt\:y=2x+2[/tex]
[tex]:\implies\tt\:y=2(3)+2[/tex]
[tex]:\implies\boxed{\bf{y=8}}[/tex]
∴ Fraction = x/y = 3/8
Hope It Helps!Answer: 3/8
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
Equation 1: (4x)/(y - 2) = 2
4x = 2(y - 2) Cross Multiplied
4x = 2y - 4 Distributed
4x - 2y = -4 Subtracted 2y from both sides
Equation 2: (x + 15)/(2y - 2) = 9/7
9(2y - 2) = 7(x+15) Cross Multiplied
18y - 18 = 7x + 105 Distributed
-7x + 18y - 18 = 105 Subtracted 7x from both sides
-7x + 18y = 123 Added 18 to both sides
Solve the system of equations using Elimination Method:
EQ1: 4x - 2y = -4 → 9(4x - 2y = -4) → 36x - 18y = -36
EQ2: -7x + 18y = 123 → 1(-7x + 18y = 123) → -7x + 18y = 123
29x = 87
÷29 ÷29
x = 3
Substitute x = 3 into either equation to solve for y:
EQ1: 4x - 2y = -4
4(3) - 2y = -4
12 - 2y = -4
-2y = -16
y = 8
The numerator (x) = 3
The denominator (y) = 8
The fraction is: 3/8
Greg and Marti are racing remote control cars. The race starts at t=0 and the cars distance is measured from the start line. Both cars have a constant rate of change. Information about each of the cars during the race is shown below.
Answer:
Marti is the winnerStep-by-step explanation:
Continuation of question:The race was over after 10 seconds. The winner of the race is defined by the person who is farthest from the start line. Whose car should be crowned the winner? Use mathematics to justify your answer.Table is attached SolutionGreg
Speed = 13 ft/sStart point = 30.7 ft from start line after 2 secondsDistance from start line after 10 seconds:
30.7 + 13*(10 - 2) = 30.7 + 13*8 = 30.7 + 104 = 134.7 ftMarti
Speed = 16.5 ft/sStart point = 2 ft from start lineDistance from start line after 10 seconds:
2 + 10*16.5 = 2 + 165 = 167 ftComparing distances from the start line, 134.7 ft vs 167 ft, Marti is farthest from the start line and he is the winner.
What’s the unit rate of the ratio 64:16
Answer:4
Step-by-step explanation:
This is a fraction equal to
64 miles ÷ 16 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 16
Which of the following is equal to 16x^-144
Answer:x-9
Step-by-step explanation:
Simplifying
Solving for variable
Move all terms containing x to the left all other terms to the right
Devide each side by 16
X=9
answers to unit 1 geometry basics homework 4 angle addition postulate
Answer:
EF = 58
Step-by-step explanation:
Find the diagram of the question attached.
According to the addition postulate;
DE+EF = DF
Given
DE = 47
EF = 3x+10
DF = 9x-39
Substitute into the addition postulate formula and get x
47+3x+10= 9x-39
Collect like terms
3x-9x = -39-10-47
-6x = -96
x = -96/-6
x = 16
Next is to evaluate EF:
EF = 3x+10
EF = 3(16)+10
EF = 48+10
EF = 58
Hence the measure of EF is 58
- 18 = 10 + x
Solve in steps pls
Answer:
x = -28Step-by-step explanation:
Equation
-18 = 10 + x → Change the x and 10, changing their sign to the opposite:
-x = 10 + 18 → Sum:
-x = 28 → Change the position of the minus sign:
x = -28
Hope this helps!
Good studies! ☺
Answer: -18 = 10 + x | x = - 28
Step-by-step explanation: do the inverse operation by subtracting. -28 - -10 = -18. x = -18
Which of the following expresses 16 + 36 by using the GCF of the two numbers?
4(4 + 9)
4(4 + 32)
8(2 + 28)
8(8 + 28)
Plz Help Me
Answer:
4(4+9)
Step-by-step explanation:
If you distribute(multiply) the 4 within the parentheses it'll equal 16+36.
The steps to convert 23/4 to decimal are shown below.
In what step is the first error?
A. Step One
B. Step Two
C. Step Three
D. Step Four
Solve for x.
-2(x + 1/3) +9x = 4
Enter your answer as a fraction in simplest form in the box.
X =
Pls help
Answer:
x= 2/3
Step-by-step explanation:
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question: What is the slope of the line?
Answer:
4/5
Step-by-step explanation:
If you look at the point (-2,0) you can see that it sits directly on the line above 2. If you also at the point (3,4) you can see that its also sitting directly in the middle, where the line runs through it. Using this information we can use Rise/Run.
Rise/Run = Y/X
from (-2, 0) you rise 4 and you run 5 to the right to land on (3,4).
This is one of many ways you can calculate The slope from a graph!
Hope this helps! :)
A waterwheel has a radius of 5 feet. The center of the wheel is 2 feet above the waterline. You notice a white mark at the top of the wheel. How many radians would the wheel have to rotate for the white mark to be 3 feet below the waterline?
Answer:c
Step-by-step explanation:
True or false?
You can use the reciprocal of the dividend or the divisor.
Either one is ok, as long as you flip a
fraction upside down.
NEED ASAP
Answer:
False It has to be the divisor/ the second fraction.
Step-by-step explanation:
Which describes the triangles? Use the ruler and protector to solve
If f(x)= x^2 and g(x)= x-5 what is f(g(x)) ?
Answer:
(x-5)^2
Step-by-step explanation:
Calculate the MEAN of the following sales data
0,0, 100, 150, 250, 400, 500
Answer:
216.66667
Step-by-step explanation:
(0+0+150+250+400+500) / 6 = 216.66667
what is the correct expression for the absolute value 8
A certain species of fish costs $3.99 each. You can spend at most $45. How many of this type of fish can you buy for your aquarium?
Answer:
Since we can't buy 0.68 of a fish and our number must be less than 13.68, we can buy 13 fish.
Step-by-step explanation:
3.29f ≤ 45
3.29f/3.29 ≤ 45/3.29
f ≤ 13.68
Find the area of the given figure.
Answer:
not enough information
helpppp! please i NEED this quick
Answer:
Associative property of addition
Step-by-step explanation:
This is because the associative property of addition states that changing the grouping of addens does not change the sum. In other words, if you rearrange the sums of a expression, the result should remain the same.
Answer:
associatice property of addition
Step-by-step explanation: