Alex is 6 years older than Frank. The sum of their ages is 50. Find Alex's age and
Frank's age.
HELP

Answers

Answer 1

Answer: Alex 28

Frank 22

Step-by-step explanation: Age difference is 6. Addition is 50


Related Questions

find the difference of squares

x^2 -225

81- 4y^2

9k^4 - 25

Answers

Answer:

1.(x+15)(x−15)

2.(9+2y)(9−2y)

3.(3k^2+5)(3k^2−5)

Step-by-step explanation:

hope this helps

Thirty adults were asked how many pets they have had over their lifetime. the results are shown in the histogram below. a bar graph entitled lifetime pets has number of pets on the x-axis and number of adults on the y-axis. 14 adults had 1-5 pets; 9 had 6 to 10; 5 had 11 to 15; 2 had 16 to 20. which of the following is most likely true? the mean and median are both in the interval 1–5. the mean and median are both in the interval 6–10. the mean is in the interval 6–10, and the median is in the interval 1–5. the mean is in the interval 1–5, and the median is in the interval 6–10.

Answers

Using the concepts of the mean and of the median, it is found that the correct option is given by:

both in the interval 6–10.

What are the mean and the median of the data-set?

The mean is the sum of all observations divided by the number of observations.The median is the measure that separates the bottom half of the variable from the upper half, that is, the 50th percentile.

To calculate the mean from the histogram, we take the midpoint of each interval and calculate the weighed mean, hence:

[tex]M = \frac{14(3) + 9(8) + 5(13) + 2(18)}{30} = 7.17[/tex]

The median is in the interval in which the 30/2 = 15th measure is, which is also in the interval 6-10, as the interval 1-5 had 14 adults, and after interval 6-10, there are 23 adults.

Hence, the correct option is given by:

both in the interval 6–10.

More can be learned about the mean and the median of a data-set at https://brainly.com/question/24732674

Answer:

The mean and median are both in the interval 6–10.

Step-by-step explanation:

answers for
2(3x-5)=52

Answers

Answer:

x = 31/3 or 10 1/3.

Step-by-step explanation:

2(3x-5)=52

2*3x + 2*-5 = 52

6x - 10 = 52

6x - 10 + 10 = 52 + 10

6x = 62

x = 62/6 = 31/3

Hello everyone I really need help with this I need answers i’ve been trying to find the answers for almost 1 hour now I’m really bad at math so I need answers. Thank you to whoever answers this

Answers

A. V=240
10x6x4=240
B. V= 1194.59
n(pie) 6.5x9
C. V= 6171.67
D. V= 1603.52
E. V=6859

Giving brainly if you answer this question

Answers

Answer:

D. 2(√34 + √106)

Step-by-step explanation:

1) Find the hypotenuse of a larger triangle infused in the kite since perimeter means the boundary of a shape. To do so, we need to apply the Pythagoras Theorem.

c² = a² + b²

c² = 5² + 9²

c² = 25 + 81

c² = 106

c = √106

2) Find the hypotenuse of the a smaller triangle infused in the kite.

c² = a² + b²

c² = 3² + 5²

c² = 9 + 25

c² = 34

c = √34

3) Apply the the formula for the perimeter of a kite; 2(a + b), where a is the smaller triangle and b is the larger triangle or vice versa.

= 2(√34 + √106)

What is the radius of a circle whose equation is (x + 5)² + (y - 3)² = 4²?
O 2 units
O 4 units
O 8 units
O 16 units

Answers

Answer:

PLEASE MARK AS BRAINLIST

we know thatthe equation of the circle is of the formwhere(h,k) is the center of the circler is the radius of the circlein this problem we havesothe center is the point the radius is thereforethe answer isThe radius of the circle is equal to  4units

The required radius of a circle whose equation is (x + 5)² + (y - 3)² = 4² is 4. Option B is correct.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

The equation of the circle is given by:

(x + 5)² + (y - 3)² = 4²

Comparing this equation with the standard form of the equation of a circle:

(x - a)² + (y - b)² = r²

We can see that the center of the circle is at the point (-5, 3), and the radius of the circle is 4 units (which is the same as the constant on the right-hand side of the equation).

Therefore, the radius of the circle is 4 units.

So the answer is (B) 4 units.

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Find the interest on $4000 at 3% for 4 months

Answers

Answer:

the formula for finding interest is I=p×r×t÷100

so the answer will be l=4000×3×4÷100which is equal to480.Therefore the interest is $480

PLS HELP marking brainliest
20-27 show ur work

Answers

Answer:

-7?

Step-by-step explanation:

I mean, is the question 20 - 27 =? Or it's something else? Lol.

20 - 27 = -7, it's very straightforward cannot write it in more detailed way. When we substract a number from another and the first one is smaller the result is a negative number. Imagine someone sells up to 3 apples, you ask him to give you 5. He gives you all 3 of his so he has 0 but you force him to go and get another 2 for you. He lost another 2, so he has less than 0 now. He has -2 apples: 3 - 5 = -2.

Now, I don't know if this is the question or these are set of exercises you must solve and your picture just didn't upload. Let me know if you need help with anything else.

Write the following statements in algebraic form.
A. A number decreased by 3 and then doubled.
B. A number is tripled and then increased by 8.
C. Area of rectangle is the product of its length and breadth.
D. Product of two numbers divided by 3.
E. x is halved and increased by 11

Answers

A) A number decreased by 3 and then doubled.

= 2 ( n-3 )

B. A number is tripled and then increased by 8.

= 3 ( x+8 )

C. Area of rectangle is the product of its length and breadth.

x= l×b

D. Product of two numbers divided by 3.

= x/3

E. x is halved and increased by 11

= x/2 + 11

a= 2 ( n-3 )

b= 3 ( x+8 )

c= x= l×b

d= x/3

e= x/2 + 11

A city has 28 radio stations, including 12 college radio stations. What is the probability that a randomly chosen radio station in this city is a college radio station? Write your answer as a fraction or whole number.

Answers

Step-by-step explanation:

Given

Number of Radio Stations=28

Number of College Radio Stations=12

[tex]required \: probabilty = \frac{number \: of \: college \: radio \: stations}{total \: number \: of \: radio \: stations} [/tex]

Probability=12/28=3/7

Are the angle measurements in this triangle correct?
130⁰
30°
30°
OA) Yes, the angle measurements shown are correct.
OB) No, the base angles should be 35 degrees.
C) No, the top angle should be 140 degrees.
OD) No, the top angle should be 120 degrees.
I will mark BRAINLY

Answers

OD

In a triangle there is 180 degrees

Answer:

D

Step-by-step explanation:

The Angle Sum Property of a Triangle states that the internal angles of a triangle add up to 180°Here, the sum is : 130 + 30 + 30 = 190°Therefore, the angle measurements are not correctThe total angle measure of triangle should decrease by 10°By making the top angle 120°, the sum becomes 180°Hence, D is the correct option

solve using the square root method

Answers

Answer:

I think it will be helpful

Two adjacent angles (A and B) are in the ratio of
4:5. The sum of the angles is equal to 54°. Find
the angle measures.

Answers

Answer:

A=24° B=30°

Step-by-step explanation:

add the ratios

4+5=9

A:4/9×54°

A=24°

A+B=54(make B subject)

B=54-A

B=54-24

B=30°

The total cost of 5 kg orange and 3 kg apple is Rs.1100. If the rate of orange decreases by 20% and the rate of apple increases by 5%, the total cost of 3 kg orange and 3 kg apple will be Rs. 870. By what percent the cost of 1 kg apple is less or more than 1 kg orange? Find it.

Answers

The percentage that the cost of 1 kg apple is more than 1 kg of orange is 100%.

What are the linear equations that represent the question?

5o + 3a = 1100 equation 1

2.4o + 3.15a = 870 equation 2

Where:

o = cost of 1kg of orange a = cost of 1kg of apple

What is the cost of 1kg of orange?

Multiply equation 1 by 1.05

5.25o + 3.05a = 1155 equation 3

Subtract equation 3 from equation 2

285 = 2.85a

a = $100

What is the cost of one kg of apple?

Substitute for o in equation 1

5(100) + 3a = 1100

500 + 3a = 1100

3a = 1100 - 500

3a = 600

a = $200

By what percent the cost of 1 kg apple is less or more than 1 kg orange?

($200 / 100) - 1 = 100%

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

1cup is equivalent to ?

Answers

Answer:

8 ounces

If you need more I can add

16 tablespoons
(I searched it up)

Please help me with this!

Answers

Answer:

Step-by-step explan

Work out the size of angle y

Answers

Answer:

y = 108°

Step-by-step explanation:

3x - 12 and 2x + 16 are corresponding angles and are congruent , then

3x - 12 = 2x + 16 ( subtract 2x from both sides )

x - 12 = 16 ( add 12 to both sides )

x = 28

then

3x - 12 = 3(28) - 12 = 84 - 12 = 72°

y and 3x - 12 are adjacent angles and sum to 180° , that is

y + 72° = 180° ( subtract 72° from both sides )

y = 108°

Step-by-step explanation:

There you go I hope this helps

in right triangle ,XYZ, the length of the hypotenuse YZ=85 and tanZ=3/4. what are the lengths in inches of the legs XY and XZ

Answers

Answer:

UWU

Step-by-step explanation:

THIS IS A GOOD ASNWER YOZ NEED IT RN SO GOOD LUCK

the lengths in inches of the legs XY and XZ are, 5.53 & 7.36 .

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

in right triangle ,XYZ, the length of the hypotenuse YZ=85 and tanZ=3/4.

so, we get,

let, the sides= 3x & 4x

now, by Pythagorean theorem,

9x^2 + 16x^2 = 85

x=1.84

hence,  the lengths in inches of the legs XY and XZ are, 5.53 & 7.36 .

To learn more on Pythagorean theorem click:

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Which of the following is the surface area of the right cylinder below? A. 244π units B. 204π units C.869π units D.352π units

Answers

Question asks, "Find the surface area of a cylinder."

Answer is: D. 352 pi ✅

Why is that the case? Let's see.

When finding surface area, multiply two times pi times the radius times the height.

[tex]A = 2\pi rh+2\pi r^2[/tex]

Now, you need to split these four values into an actual equation.

2 followed by pi radius-height plus two pi radius, is actually the formula for surface added to the formula of area, so;

[tex]2\pi rh+2\pi r^2 = 2 * \pi * 8(radius) * 14 + 2(height~plus~the~two) * \pi * 8^2[/tex]

Solve.

the result is 1105 according to order of operations.

Divide 1105 by pi to get the answer. Pi is 3.14... so for every 3.14..., you count that as one.

[tex]1105 / 3.14 = 351.91...[/tex] which rounds to 352

Therefore, your answer is 352π units²

There are white, yellow and green counters in a bag in the ratio
5
:
8
:
8

What fraction of the counters are green?

Answers

Answer:

8/21

Step-by-step explanation:

the ratio is 5:8:8 so the total is 21 and since green is 8,the fraction is 8 over the total which is 8/21

ms.amni and mr.blake each ordered supplies for their classroom. the cost of the supplies are pencil cases equals $3 box of crayons equals $4 pack of folders equals $2 .Ms.Amani ordered 7 pencil cases and 9 pack of folders and Mr Blake ordered 9 boxes of crayons What is the difference In the cost off the supplies Ms.Amani and the cost of surprises mr Blake ordered. Show work

Answers

Answer:

3

Step-by-step explanation:

do 3×7+9×2=39 (Ms. Amani)

Next do 9×4=36 (Mr.Blake)

39-36=3

Hope this helps!

Show work please I’ve been really struggling lately and i am SWAMPED with work

Answers

Answer:

See below

Step-by-step explanation:

m = k/m     sub in the values given

-4 = k / 17

k = -68

so    m = -68/n     NOTE: this can also be written as  n = -68/m

Answer:

Step-by-step explanation:

Nikki,  they wrote the problem in a format that is general

y = k/ x      for the given variables  m and n  then

m = k / n   where k is some constant ( konstant)

plug in the given numbers for m and n

-4 =k / 17

solve for k

-4 * 17 = k

-68 = k

now we have a better formula

m = -68 / n  ( this is your answer a )

now plug in -136 for m

-136 = -68 / n  

solve for n

n = -68 / -136

n = 1/2   ( this is your answer b)

Hope that helps,  can you see how I did that?

Find the value of x please answer ASAP!!!!

Answers

Answer:

24

Step-by-step explanation:

All you gotta do is 30(12)=15(x). So 360=15x, then divide from there to only get x

How many ways can Caroline choose 6 courses of any type?

Answers

Answer:

6 times she can choose courses

a^1 =5, a^n = a^n-1 (7) explicit formula

Answers

Answer:

[tex]a_{n}=5\times \left( 7\right)^{n-1}[/tex]

Step-by-step explanation:

[tex]a_{n}=a_{n-1}\times7[/tex]

Then the common ratio = 7

Then the explicit formula is :

[tex]a_{n}=a_{1}\times \left( 7\right)^{n-1}[/tex]

    [tex]=5\times \left( 7\right)^{n-1}[/tex]

In (circle)A, m∠BAD = 110. Find mDE.

Answers

Answer: 70

Step-by-step explanation: BAD is 110 degrees and BDE is 180 so do 180 minus 110 and gets you 70 which is DE

Answer:  70 degrees

Reason:

Central angle BAD is 110 degrees.

This makes angle DAE to be 180-110 = 70 degrees since the two angles are supplementary. They combine to a 180 degree straight angle.

From there, minor arc DE is also 70 degrees. This is because the central angle subtending the arc will be the same measure.

(20 POINTS AND BRAINLIEST) The rectangles below have the same perimeter
What is the area of the orange rectangle?

Answers

Answer:

Well it is 16

Step-by-step explanation:

the rectangle has 2 of the same sides for each side, so 3x2+5x2, a square has all sides equal to each other, so 4x4

So Now we do the easy part|
The rectangle that is grey:
3x2 = 6
5x2 = 10
6+10 =16



The orange square:
4x4 = 16
4+4=8
4+4=8
8+8=16

Therefore both are 16, meaning 16 must be the perimeter for both!

Which equation can be used to find the measure of angle LJK?

O sin(x) = 10/15
O sin(x) = 15/10
O cos(x) = 10/15
O cos(x)= 15/10

Answers

Answer:

cos(x)=10/15

Step-by-step explanation:

As cosine is Base/Hypotenues

cos(x)=JL/JK

= 10/15

MARK ME AS BRAINLIST

The equation used to find the measure of angle LJK is option C. cos(x) = 10/15.

What are Trigonometric Functions?

Trigonometric functions are the functions which are represented as the ratio of the sides of a right angled triangle.

The three main trigonometric functions are sine, cosine and tangent function.

Sine function of an angle is the ratio of the opposite side to the hypotenuse of the triangle.

Cosine function of an angle is the ratio of the adjacent side to the hypotenuse of the triangle.

Here,

Hypotenuse of the triangle = KJ = 15 inches

LJ = 10 inches is the adjacent side with respect to the angle x.

We can use cosine function here.

cos (x) = LJ / KJ = 10/15

Hence the equation used is cos(x) = 10/15.

Learn more about Trigonometric Functions here :

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Jeremiah is creating a playlist that has only one song from each of his favorite genres. The following table shows his favorite genres and the number of songs on his MP3 player for each genre.
Genre Number of songs
Rock 444
Pop 222
Country 777
Classical 888
How many different playlists could Jeremiah create?

Answers

Answer:

68009554368

Step-by-step explanation:

mulitply all the numbers by each other

Rewrite the equation below so that it does not have fractions 3-2/3x=3/4​

Answers

Answer: 3- 0.67x = 0.75

Step-by-step explanation: Convert fractions to decimals

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