The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q. Find the volume of sphere P as a fraction of sphere R. Write your answer in the form a/b

Answers

Answer 1

Answer:

1/2.25

Step-by-step explanation:

let volume of P be x

Q will be 1.5x

R will be 150/100* 1.5x which is 2.25x

P/R = x/ 2.25x

= 1/2.25

Answer 2

Here we need to write the volume of sphere P as a fraction of the volume of sphere R.

We will get:

[tex]V_P = V_R/2.25[/tex]

The given information is:

The volume of sphere Q is 50% more than the volume of sphere P.The volume of sphere R is 50% more than the volume of sphere Q.

From the first statement, we can write:

[tex]V_Q = (1.5)*V_P[/tex]

Where the 1.5 comes because the volume of sphere Q is 150% of the volume of sphere P.

From the second statement we can write:

[tex]V_R = (1.5)*V_Q[/tex]

We can rewrite this last one as:

[tex]V_Q = V_R/(1.5)[/tex]

Now we can replace this on the first equation to get:

[tex]V_R/(1.5) = (1.5)*V_P\\\\V_P =V_R/(1.5)^2 = V_R/2.25[/tex]

This is the equation we wanted, the volume of sphere P as a fraction of the volume of the sphere R.

If you want to learn more, you can read:

https://brainly.com/question/9011354


Related Questions

Graph the inequality.

Answers

Answer:option D is m best guess

Step-by-step explanation:

correct me if im rong

Answer:

its C

Step-by-step explanation:

need hep now will make brainliest

Answers

hi!
1. -25
2. 22
3. 0
4. -34.5

hope this helps!

Answer:

1) negative

2) positive

3) the quotient is 0 which is neither +ve or -ve

4) negative

Step-by-step explanation:

To find the sign of the quotient, you first check the sign of the two numbers..

If the sign of ONE of the numbers is negative and one is positive, then the sign of the quotient will be negative too.

If the sign of BOTH the numbers is negative, it'll also be negative and visa versa

Hope it helps

Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces

Answers

Answer:1 ounce

Step-by-step explanation:

Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500. If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is x + y = .

Answers

Answer:

225

Step-by-step explanation:

(9000/45) + (500/20) =200 + 25 = 225

x=25, y=200

Answer:

Step-by-step explanation:

It is given that x is the number of participants in the 5K race and y is the number of participants in the 10K race.

20x+45y=9500

Eve makes $20 for each 5K participant and $45 for each 10K participant. She wants to raise $9,500. The linear equation below represents the given scenario.

20x+45y=9500

20(200+45y=9500

4400+45y=9500

45y=9500

y ==113.3 (curvy equal sign)

If Eve raises exactly $9,500 and there are 220 5K participants, the number of 10K participants is found as shown below.

It is not possible to have 113.3 participants in the 10K race. So, no, it is not possible for Eve to raise exactly $9,500 if there are 220 participants in the 5K race.

Solve for x. 5 x − 29 > − 34 OR 2 x + 31 < 29

Answers

Answer:

x > -1

x < -1

Step-by-step explanation:

5x - 29 > - 34

5x > - 34 + 29

5x > -5

x > -1

2x + 31 < 29

2x < 29 - 31

2x <  -2

x < -1

1. Martha pays 20 dollars for materials to make earrings. She makes 10 earrings and sells 7 for
5 dollars and 3 for 2 dollars. Write a numerical expression to represent this situation and then
find Martha's profit?

Answers

Answer:

Numerical expression to represent this situation : 41 = 20 + P

Martha's profit is $21

Step-by-step explanation:

Total cost price for earrings for Martha = total money invested in material  to make earrings = $20

No. of ear rings made = 10

No. of earrings sold for $5= 7

Total Price for these 7 earrings= $5*7 = $35

No. of earrings sold for $2= 3

Total Price for these 3 earrings= $2*3 = $6

Total price for all of the ten earrings = $35+$6 = $41

We know that

selling price = cost price + profit

Total price for all of the ten earrings = Total cost price for 10 earrings + total profit made on those 10 earrings

let total profit be P

41 = 20 + P

Thus,

P = 41-20 = 21

numerical expression to represent this situation : 41 = 20 + P

Thus, Martha's profit is $21

*Brainliest* What is the domain of the function shown in thr table?

Answers

Answer:

Domain is { 3,5,7,9}

Step-by-step explanation:

The domain is the input values

Domain is { 3,5,7,9}

Answer:

Domain - {3, 5, 7, 9} (B)

Step-by-step explanation:

Domain - imput values, X values

Kevin's bank offered him a 4.5% interest rate for his mortgage. If he purchases 3 points, what will be his new rate?

Answers

Answer:

The new rate would be  3.75%

Step-by-step explanation:

Purchasing a point simply implies negotiating for a lower rate of interest, which involves paying 1% of the loan in lieu of 1% interest reduction.

A point implies a reduction in interest rate by 0.25% while 3 points would reduce the interest rate by 0.75%(0.25%*3)

New interest rate=4.5%-0.75%=3.75%

Answer: mine was: 4.125%

Step-by-step explanation:

A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year

Answers

Answer:

Sale-person's total salary for the year is  $ 82,050

Step-by-step explanation:

Base salary of salesperson = $37,000

commission percentage of salesperson = 17% of sales

sales made in a year = $265,000

commission for salesperson in $ = 17% of sales

commission for salesperson in $ = 17 / 100 *  $265,000 = $45,050

Thus, total commission for the given year salesperson is   $45,050

Total salary for year = Base salary + total commission for the given year

Total salary for year = $37,000  +  $45,050 = $ 82,050 (Answer)

The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?

Answers

The complete question is as follows.

The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?

(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]

(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]

(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]

(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]

(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h

Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];

Step-by-step explanation: To determine [tex]b_1[/tex]:

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = ([tex]b_1 + b_2[/tex])h

[tex]\frac{2a}{h} = b_1 + b_2[/tex]

[tex]\frac{2a}{h} - b_2 = b_1[/tex]

To determine h:

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = [tex](b_1 + b_2)h[/tex]

[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h

To determine [tex]b_2[/tex]

a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]

2a = [tex](b_1 + b_2)h[/tex]

[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]

[tex]\frac{2a}{h} - b_1 = b_2[/tex]

Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.

What is the following product? square root of 10 times square root of 10

Answers

Answer: 10

Step-by-step explanation:

√10 x √10

When a square root of an expression is multiplied by itself, the result is that expression...

10

What value of x is in the solution set of 3(x – 4) > 5x + 2?

Answers

Answer:

-10

Step-by-step explanation:

expand: 3x-12>5x+2

subtract 3x and subtract 2 to both sides

-14>2x

which is just

2x<-14

so x<-7.

the only value is -10. :D

Answer:

-10

Step-by-step explanation:

3(x – 4) > 5x + 2

Distribute

3x -12 > 5x+2

Subtract 3x from each side

3x-12-3x > 5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12 -2 > 2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

X must be less than -7

-10 is less than -7

Consider the reduction of the rectangle. A larger rectangle has a length of 18 inches and width of 8 inches. A smaller rectangle has a length of x inches and width of 3 inches. Write a proportion and then solve to find the missing measure of the reduced rectangle. What two ratios can be used in the proportion? What is the value of the missing measure?

Answers

Answer:

18/8 = x/3

x = 6.75 inches (length)

Step-by-step explanation:

Hi, to answer this question we have to write 2 ratios using the information given:

A larger rectangle has a length of 18 inches and width of 8 inches.

Inches /width = 18/8

So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :

x/3

Solving for x:

18/8 = x/3

18/8 (3) =x

6.75 in= x

Feel free to ask for more if needed or if you did not understand something.

can you help meee get this ?

Answers

Answer: y=4/5x-2 or y=4/5x+(-2)

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b.

To find the slope, we can use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and plugging in the points given.

[tex]m=\frac{6-2}{10-5} =\frac{4}{5}[/tex]

We know our slope is 4/5. We can plug this into our slope-intercept form and then plug in a point to find b, y-intercept.

[tex]y=\frac{4}{5} x+b[/tex]

[tex]2=\frac{4}{5}(5)+b[/tex]

[tex]2=4+b[/tex]

[tex]b=-2[/tex]

We know the y-intercept is -2.

THe final equation is y=4/5x-2 or y=4/5x+(-2).

3. if kx² + 2x + k = -kx have equal roots, find the values of k.

Answers

Answer:

k = - [tex]\frac{2}{3}[/tex] , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

kx² + 2x + k = - kx ( add kx to both sides )

kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - [tex]\frac{2}{3}[/tex]

k - 2 = 0 ⇒ k = 2

People pay to visit a state home: Age 16+: £18.60 Under 16: £12.80 155 people pay and 49 of these people are under 16. How much money is collected?

Answers

Answer:

£2598.80

Step-by-step explanation:

155 people pay

49 are under 16

The number of 16+ people is: 155 - 49 = 106

Total money collected:

106 * £18.60 + 49 * £12.80 = £1971.60 + £627.20 = £2598.80

PLZ HELP! WILL MAKE A BRAINLIST
Which types of dilation are the given scale factors?

Answers

Answer:

see explanation

Step-by-step explanation:

For a given scale factor k

If k > 1 then expansion

If k < - 1 then expansion in the opposite direction

If 0 < k < 1 or - 1 < k < 0 then contraction

k = - 2 ← expansion in opposite direction

k = 1.5 ← expansion

k = [tex]\frac{1}{4}[/tex] ← contraction

k = - [tex]\frac{6}{7}[/tex] ← contraction

Looking at twentieth century mathematicians 1900 to 1999, what is the surname of the Iranian-born mathematician who won the highest honour in mathematics, the Fields Medal?

Answers

Answer: Maryam Mirzakhani

Step-by-step explanation:

PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!

Answers

Answer:

B

Step-by-step explanation:

Recall that [tex](g \circ f)(x)=g(f(x))[/tex]. In other words, we need to find [tex]f(x)[/tex] first and then put that value into [tex]g(x)[/tex].

We need to find [tex](g \circ f)(4) =g(f(4))[/tex]

[tex]f(x)=4x-2\\[/tex]

[tex]f(4)=4(4)-2=14[/tex]

[tex](g \circ f)(4) =g(f(4))=g(14)[/tex]

[tex]g(x)=-6x^2-8x-8[/tex]

[tex]g(14)=-6(14)^2-8(14)-8[/tex]

[tex]g(14) = (g \circ f) (4) =-1296[/tex]

PLease help asap I will give 5 stars please help

Answers

[tex]answer \\ < a = 114 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Use the table to identify the values of pand q that should be used to factor x2
- 3x - 10 as (x + p)(x + 9).​

Answers

Answer:

A

p = -5 and q = 2 or p = 2 and q = -5

Step-by-step explanation:

Technically, you don't need the table to help you out here. If you solely just factor out x²-3x-10, you would get (x-5)(x+2). So one variable would always have to be -5 and the other variable would always have to be 2.

Which expresion has a value o 15 when n = 7

Answers

Answer:

19 - 28/n

n= 7

19 - 28/7

19-4

= 15

Step-by-step explanation:

At the beach, 11% of people have white towels and 53% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer here
SUBMIT
ASAP help plz

Answers

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

Answer:

36%

[tex]percentage \: of \: people \: who\: have \: white \\ towels = 11 \\ percentage \: of \: people \: who \: have \: blue \: \\ towels = 53 \\ percentage \: of \: people \: who \: have \: \\ white \: and \: blue \: towel \\ = 11 + 53 \\ = 64 \\ percentage \: of \: people \: who \: have \ \: red \\ towels = 100 - 64 \\ \: \: \: \: \: \: \: \: \: \: \: = 36[/tex]

hope this helps ..

Good luck on your assignment

the line ab has midpoint (-2, 4) a has coordinates (3, -2) find the coordinates of b

Answers

Answer:

b = (- 7, 10 )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

let the coordinates of b = (x, y ) then use the formula and equate to the coordinates of the midpoint, that is

[tex]\frac{1}{2}[/tex] (x + 3) = - 2 ( multiply both sides by 2 )

x + 3 = - 4 ( subtract 3 from both sides )

x = - 7

[tex]\frac{1}{2}[/tex] (y - 2) = 4 ( multiply both sides by 2 )

y - 2 = 8 ( add 2 to both sides )

y = 10

Thus the coordinates of b are (- 7, 10 )

What is the measure of arc ADC if the measure of arc BC is 52 degrees

Answers

Answer:

bc 52dndnxnnxxjxmsowkdkdodjdjdidj

Given the coordinates for the function below which of the following are coordinates for its inverse

Answers

2-3+23=-34 so that is the right one

Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1. Which explains the error that Lila made? Lila made in error in Step 1 by reversing the ordered pairs. Lila made an error in Step 2 by not using the slope formula. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair. Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.

Answers

Answer:

The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Hope this helps!

Stay safe at home :)

(those of you doing edge hang in there!)

The y intercept of the problem is equal to 25+14.1/30*x.

What is total cost?

The total cost is the sum of the fixed cost and the variable cost to make a product.

How to find y-intercept?

x is showing no. of bruchers

y is showing total cost.

Total cost for 35  bruchers=41.45

Total cost for 65 bruchers=55.55

The points are (35,41.45), (65,55.55)

The y intercept can be calculated as :

y-41.45=(55.55-41.45/65-35)*(x-35)

30y-14.1x=750

y=25+14.1/30*30

Hence the value of y intercept is 25+14.1/30*30.

Learn more about intercept at https://brainly.com/question/26233

#SPJ2

What single decimal multiplier would you use to increase by 4% followed by a 3% increase

Answers

Answer:

1.0712

Step-by-step explanation:

if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712

hope this will help you, have a nice day!

If f(x) = 1 - x and g(x) = 1-X, which is the rule of function (f-g)(x)?

Answers

Answer:

0

Step-by-step explanation:

f(x) = 1 - x

g(x) = 1-X

f(x) - g(x) = 1-x - (1-x)

              Distribute

               =1-x-1 +x

           Combine like terms

             0

Find the height of a triangle that had area of 30sqaure deer units and a base measuring 12units

Answers

Answer:

h = 5 units

Step-by-step explanation:

Step 1: Plug in known variables into formula

A = 1/2bh

30 = 1/2(12)h

Step 2: Multiply both sides by 2 (To get rid of fraction)

60 = 12h

Step 3: Divide both sides by 12

h = 5

Answer: 5 units

Step-by-step explanation:

30 devided by 12 then multiply that by 2

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