The sum of the ages of Peter and Paul is 24. Five years ago their respective ages were in the ratio 3:4. How old will they be in three years time?​

Answer: IT will cost $63

Step-by-step explanation:

hope it helps.

Answer:

the answer is 15. brainliest if correct..

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Answer:

26 is the answer. am I right?

Answer:

4x-y=3

Step-by-step explanation:

IT'S standard form

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Work Shown:

Subtract the time values

131.25 - 119.5 = 11.75

This rounds to 12 when rounding to the nearest whole number.

This means she ran about 12 minutes faster. Since she ran 12 miles, this tells us she ran about 12/12 = 1 minute faster per mile.

The more accurate amount is 11.75/12 = 0.97916666666667 and we can see this is fairly close to 1. If we round to the nearest whole number, then we would get 1.

Answer: A

Step-by-step explanation: In all logic its only a 40 soemthing difference and its a bigger number so my guess is 6.1

The percentage decrease in the number of students will be 6.6%. The correct option is B.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that last year, Springfield Middle School had 620 students. This year, it has 582 students.

The percentage decrease will be calculated as:-

Percentage decrease = ( 620 - 582 ) / 582

Percentage decrease = ( 38 / 582) = 0.0652

Percentage decrease = 0.0652 x 100 = 6.52% ≅ 6.6%

Therefore, the percentage decrease in the number of students will be 6.6%. The correct option is B.

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Answer: 4/3

Step-by-step explanation:

you're finding the tangent of X which is at the top so you do opposite over adjacent

Answer:

Step-by-step explanation:

Parabola is the graph of a quadratic function:

Given points:

Substituting the points:

1.

2.

3.

Considering c = -4 in the other equations:

and

Comparing the above two equations:

Then finding a:

So we have equation:

and

Answer:

sin ∠FDE is 12/13

Step-by-step explanation:

The trigonometric ratios will be used to find the value of sin∠FDE

In the given triangle, according to angle FDE

Base = DE = 5

Hypotenuse = DF = 13

Perpendicular = EF = ?

sin ∠FDE = [tex]\frac{perpendicular}{Hypotenuse} = \frac{EF}{DF}[/tex]

We have to find the length of DF first

Pythagoras theorem will be used as the given triangle is a right angled triangle

[tex](Hypotenuse)^2 = (Base)^2+(perpendicular)^2\\(DF)^2 = (DE)^2+(EF)^2\\(13)^2 = (5)^2 + EF^2\\169 = 25+EF^2\\EF^2 = 169-25\\EF^2 = 144\\\sqrt{EF^2} = \sqrt{144}\\EF = 12[/tex]

So,

sin ∠FDE = EF/DF

sin ∠FDE = 12/13

Hence,

sin ∠FDE is 12/13

Answer:

1st one is "square root of 2x"

2nd one is "2 square root of x"

3rd one is "is not"

Step-by-step explanation:

1st one: you have 2x for g(x) then you plug that into the x for f(x) giving you square root of 2x

2nd one: you have  square root of x for f(x) then you plug that into the x for g(x) giving you 2 square root of x

3rd one: the inverse of the square root of x is x^2

The function [tex]\rm f(g(x)) = \sqrt{2x}[/tex] and the function [tex]\rm g(f(x)) =2\sqrt{x}[/tex] and the function f(x) is not the inverse of g(x) and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the f(g(x)) and g(f(x)):

Step 1 - First write the given functions.

[tex]\rm f(x) = \sqrt{x}[/tex]

[tex]\rm g(x) = 2x[/tex]

Step 2 - Now, the function f(g(x)) is given by replacing x with g(x) in the function f(x).

[tex]\rm f(g(x)) = \sqrt{g(x)}[/tex]

Step 3 - Substitute the value of g(x) in the above expression.

[tex]\rm f(g(x)) = \sqrt{2x}[/tex]

Step 4 - Now, the function g(f(x)) is given by replacing x with f(x) in the function g(x).

[tex]\rm g(f(x)) =2f(x)[/tex]

Step 5 - Substitute the value of f(x) in the above expression.

[tex]\rm g(f(x)) =2\sqrt{x}[/tex]

Step 6 - The inverse of f(x) can be determined by replacing x by f(x) and f(x) by x.

[tex]\rm \sqrt{f(x)} = x[/tex]

[tex]\rm x^2 = f(x)[/tex]

Step 7 - Now, the inverse of g(x) is given by:

[tex]\rm 2g(x) = x[/tex]

[tex]\rm g(x) = \dfrac{x}{2}[/tex]

The function [tex]\rm f(g(x)) = \sqrt{2x}[/tex] and the function [tex]\rm g(f(x)) =2\sqrt{x}[/tex] and the function f(x) is not the inverse of g(x).

For more information, refer to the link given below:

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Answer:

c

Step-by-step explanation:

reason:

5^2+12^2=13^2

Answer:

c

Step-by-step explanation:

1. square the two smaller numbers and add them (5^2 + 12^2 = 169)

2. Take the square root of answer ( 13 )

Answer:

richard is 22 and teo is 9

Step-by-step explanation:

Answer:

Well the answer would be 9.

Step-by-step explanation:

All you have to do is put 6 in the place of X. So the new equation would be 5x2+6-7, and all you do is solve that. So multiply 5 and 2 to get 10, than add 10 to 6 and get 16, 16 minus 7 to get your answer of 9.

Hope this is right, pls tell me and sorry its so late lol

Answer:

12:25

Step-by-step explanation:

Answer:

12:25 p.m

Step-by-step explanation:

1:30 - 1 hour = 12:30

12:30 - 5 minutes = 12:25

I hope this helped, please mark Brainliest, thank you!! :)

Answer:

20 percent decrease

Step-by-step explanation:

it lost 4 inches of water (20-16) and 4 is a fifth of 20. a fifth is 20 percent so it is a 20 percent decrease

Answer:

-4/25

Step-by-step explanation:

Answer:

jbbhhhhhhhhhhhhhhhhh,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Step-by-step explanation:

Answer:

22 hours (B)

Step-by-step explanation:

John's velocity = 55mph

Sally's velocity = 65mph

John's time taken = x

Sally's time taken = x - 4

since they must cover the same distance.

and, distance = vel × time

Sally's vel × time = John's vel × time

55x = 65(x-4)

55x = 65x - 220

-10x = -220

x = 22 hours.

Therefore, Sally catches up after 22 hours

The question is missing parts. Here is the complete question.

The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ.

What is the minimum value of the sum of the lengths of AP, BP and CP?

Answer: The sum is 4.73.

Step-by-step explanation: Height of a triangle is a perpendicualr line linking a vertex and its opposite side.

Because triangle ABC is isosceles, point Q divides the base in 2 equal parts:

BQ = CQ = 1

Suppose QP = x

To calculate minimum value of the sum:

AP = AQ - QP

AP = 3 - x

Since triangles BQP and CQP are congruent and right triangles, use Pythagorean Theorem to figure out the value of BP and CP:

BP = CP = [tex]\sqrt{BQ^{2}+PQ^{2}}[/tex]

BP = [tex]\sqrt{1+x^{2}}[/tex]

Then, sum of AP, BP and CP is

[tex]f(x)=3-x+2\sqrt{1+x^{2}}[/tex]

The minimum value is calculated using first derivative:

[tex]f'=-1+\frac{2x}{\sqrt{x^{2}+1} }[/tex]

The value of x is limited: it can assume value of 0, when P=A and x=3, when P=Q. So, interval is [0,3].

x has value:

[tex]-1+\frac{2x}{\sqrt{x^{2}+1} }=0[/tex]

[tex]2x=\sqrt{x^{2}+1}[/tex]

[tex]4x^{2}-x^{2}-1=0[/tex]

[tex]3x^{2}=1[/tex]

x = ± [tex]\frac{1}{\sqrt{3} }[/tex]

x can't assume negative value because is not in the interval:

x = [tex]\frac{1}{\sqrt{3} }[/tex]

To find the minimum value of the sum, substitute x in the function above:

f([tex]\frac{1}{\sqrt{3} }[/tex])=[tex]3-\frac{1}{\sqrt{3} } +2\sqrt{1+(\frac{1}{\sqrt{3} })^{2} }[/tex]

[tex]f(\frac{1}{\sqrt{3}} )=3-\frac{1}{\sqrt{3}}+2(\sqrt{\frac{4}{3} } )[/tex]

[tex]f(\frac{1}{\sqrt{3}} )=3-\frac{1}{\sqrt{3}} +\frac{4}{\sqrt{3}}[/tex]

[tex]f(\frac{1}{\sqrt{3}} )=3+\frac{3}{\sqrt{3} }[/tex]

[tex]f(\frac{1}{\sqrt{3}} )=4.73[/tex]

The minimum value of the sum of AP, BP and CP is 4.73.

The minimum value of the sum of the lengths of AP, BP and CP is [tex]3 + \frac{\sqrt{3}}{3}[/tex] units.

According to this statement we must determine the sum of the line segment lengths so that a minimum is found. By Pythagorean theorem and given data we have the following expression:

[tex]y = AP + BP + CP[/tex]

[tex]y = 3-x +2\sqrt{x^{2}+1}[/tex] (1)

Now we proceed to find the critical values by performing first and second derivative tests.

FDT

[tex]-1 +\frac{2\cdot x}{\sqrt{x^{2}+1}} = 0[/tex]

[tex]2\cdot x = \sqrt{x^{2}+1}[/tex]

[tex]4\cdot x^{2}-x^{2}-1=0[/tex]

[tex]3\cdot x^{2} = 1[/tex]

[tex]x^{2} = \frac{1}{3}[/tex]

[tex]x = \frac{\sqrt{3}}{3}[/tex]

SDT

[tex]y'' = \frac{2\cdot \sqrt{x^{2}+1}-2\cdot x \cdot \left(\frac{2\cdot x}{\sqrt{x^{2}+1}} \right)}{x^{2}+1}[/tex]

[tex]y'' = \frac{2\cdot x^{2}+2-4\cdot x^{2}}{(x^{2}+1)^{3/2}}[/tex]

[tex]y'' = 2\cdot \frac{1-x^{2}}{(x^{2}+1)^{3/2}}[/tex]

[tex]y'' \approx 0.866[/tex]

A minimum exists when [tex]y'' > 0[/tex], then we conclude that [tex]x = \frac{\sqrt{3}}{3}[/tex] lead to a relative minimum. And by (1) we have the minimum sum:

[tex]y = 3-\frac{\sqrt{3}}{3}+2\sqrt{\frac{4}{3} }[/tex]

[tex]y = 3 - \frac{\sqrt{3}}{3} +\frac{4\sqrt{3}}{3}[/tex]

[tex]y = 3+\frac{\sqrt{3}}{3}[/tex]

The minimum value of the sum of the lengths of AP, BP and CP is [tex]3 + \frac{\sqrt{3}}{3}[/tex] units.

Nota - The statement reports typographical issues, the correct form is presented below:

The isosceles triangle below has height AQ of length 3 and base BC of length 2. A point P may be placed anywhere along the line segment AQ. What is the minimum value of the sum of the lengths of AP, BP and CP.

We kindly invite to check this question on maxima and minima: https://brainly.com/question/12870574

Answer:

you place the 1 under the integer and follow the steps keep change it flip it . SO basically you keep the integer and the 1 and you change the sign to division and you place the numerator where the denominator is and the  denominator goes where the numerator is.

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Pythagorean triplet

12,16,20

So, the value of x is 12

x + 256 = 400

x = 400 - 256

x = 144

The square of 12 is 144

Answer

10

Step-by-step explanation:

it takes 3/4 of a cup to make a mini loaves of bread and 3/4 is about one cup so 10

The number of mini-loaves that he could make with 10 cups of flour will be 25 cups.

From the complete information, it was stated that 1 cup of flour can be used to make 2.5 loaves.

Therefore, based on the information given, in order to calculate the number of mini-loaves that he could make with 10 cups of flour, we've to multiply the values. This will be:

= 2.5 × 10 = 25

In conclusion, the correct option is 25 cups.

Read related link on:

https://brainly.com/question/15546607

Answer:

1000 dollars

Step-by-step explanation:

Given

P:  ---2 -----,4 ----,6

C: 1200, 1400, 1600

Required

Calculate the fixed cost

First, we need to determine the equation that determines the relationship between P and C

We start by selecting any two corresponding values of P and C

We have that:

[tex](P_1,C_1) = (2,1200)[/tex]

[tex](P_2,C_2) = (6,1600)[/tex]

Calculate the slope, using:

[tex]m = \frac{C_2 - C_1}{P_2 - P_1}[/tex]

[tex]m = \frac{1600 - 1200}{6 - 2}[/tex]

[tex]m = \frac{400}{4}[/tex]

[tex]m = 100[/tex]

The equation is then calculated using:

[tex]C - C_2 = m(P - P_2)[/tex]

Where

[tex]m = 100[/tex] and

[tex](P_2,C_2) = (6,1600)[/tex]

[tex]C - 1600 = 100(P - 6)[/tex]

[tex]C - 1600 = 100P - 600[/tex]

Collect Like Terms

[tex]C = 100P - 600 +1600[/tex]

[tex]C = 100P + 1000[/tex]

From the equation above,

100P represents the amount paid for P phones produced

1000 represents the fixed cost paid

C represents the total amount paid

Answer:

working with circles (using pi for circumference, area, etc)

Answer:

4(x+3y)

Step-by-step explanation:

factor 4 out of 4x and 12 y

Answer:

4800

Step-by-step explanation:

In 10 seconds his wings will flap 800 times!

So in 60 seconds his wings will go 6 times more frequently.

10 /800 = 60/x

10 x = 800 * 60

10 x = 48000

x = 48000/10

x = 4800

Yes she will be left with 0 grapes

Step-by-step explanation:

14-8=6 6-6=0