Linda is 3 1/years younger than Rose. Joahn is 8 1/3years older than Linda. To the nearest year, what is the difference in Rose's age and Joahn's age?

Answers

Answer 1

Answer: 5 years

Step-by-step explanation:

Given

Linda is [tex]3\ \frac{1}{3}\ yr[/tex] younger than Rose

Johan is [tex]8\ \frac{1}{3}\ yr[/tex] older than Linda

Suppose the age of Rose is [tex]x[/tex]

So, Linda's age

[tex]x-\dfrac{3\times3+1}{3}=x-\dfrac{10}{3}[/tex]

Johan's age

[tex]x-\dfrac{10}{3}+\dfrac{8\times3+1}{3}=x+\dfrac{-10+25}{3}\\\\x+\dfrac{15}{3}=x+5[/tex]

Difference between the Rose's and Johan's age is

[tex]\Rightarrow x+5-x=5\ yr[/tex]


Related Questions

please help me i'm going to give you brainless

Answers

Answer: 280 children

Explanation: Each grade has 70 kids. You have 4 total grades (3rd, 4th, 5th, and 6th grade). You have to add the number of kids you have in every grade. In this case, 70 children in 3rd grade, 70 children in 4th grade, 70 children in 5th grade, and 70 children in 6th grade. The problem would look like this:

70 + 70 + 70 + 70

Then your answer is 280 when you add them all together!

The diameter of the circle shown below is
11.5 inches.
11.5 inches
What is the radius of the circle?
A. 5.75
B. 11.5
C. 23
D. 34.5

Answers

Answer:

A. 5.75

Step-by-step explanation:

11.5/2 = 5.75

Which of the following is a degenerate circle?
O A. x++y2 = -1
O B. x+y=2
O c. x² + y2 = 1
O D. (x – 4)+ (x - 2)2 = 0

Answers

C. X2+y2=1 and there is your answer thins could be wrong and I am sorry if it is have a great day!

PLEASE HELPP I AM FAILING AND I NEED THIS ASAP!!! TYSM

Use the function f(x) = 2 sin x-1 to identify the following.

A. amplitude =
B. period =
C. midline=​

Answers

Answer:

See below for answers

Step-by-step explanation:

Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?

Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].

Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].

Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.

A line with a slope of -2 is written in the form y=mx+b.
what is the value of b If the line passes through the point (5,-7)?​

Answers

Answer:

b = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - 2 , then

y = - 2x + b ← is the partial equation

To find b substitute (5, - 7 ) into the partial equation

- 7 = - 10 + b ⇒ b = - 7 + 10 = 3

hey everyone im back!!!!!!! But im in Texas now! :D

Answers

Answer:

Hiii when I went to Florida Miami I landed in Texas

There are 312 fish at the aquarium in 3 different fish tanks. Each tank has the same number of fish. How many fish are in each tank? Write an equation to find the unknown. Then find the unknown.​

Answers

Answer:

[tex]312 \div 3 = x \\ x = \frac{312}{3} \\ x = \frac{104}{1} \\ x = 104 fish \: in \: each \: tank[/tex]

Greater to least 9.5,93/8, 9.25,93/4

Answers

Answer:

23.25 or 93/4, 11.63 or 93/8, 9.5, 9.25

Rounded: 23, 12, 10, 9

Step-by-step explanation:

First, divide the fractions (93/4 & 93/8) to convert them to decimals, then just round or go from the digits 23 > 11 >9.5> 9

Hope this helps

~R3V0

Can someone help me? What is the solution for x-2 > 15 ?
Thank you!

Answers

Answer: X=17

Step-by-step explanation:

Answer:

Any number above 17

18 works.

Step-by-step explanation:

18-2 = 16

16 > 15

> means the number on the left is greater.

Hope this helps.

Write all the factors for 64?

Answers

Answer:

1, 2, 4, 8, 16, 32, 64

Step-by-step explanation:

1, 2, 4, 8, 16, 32, 64

Rewrite 3log(4) in the form log(c)

Answers

Step-by-step explanation:

this is the answer of this question

Answer:

log(64)

Step-by-step explanation:

3 log (4) = log (4^3) = log (64)

Hope this helps!

Tim has read 40% of a book. He has 42 more pages to finish. How many pages are there in the book?

Answers

Answer:

66 pages

Step-by-step explanation:

I think that is the answer hope it helps you.

Given that h varies inversely with respect to g, and that h= -24 when g= 3, write an
equation that describes the relationship between h and g. Then find h when g=-1,

Answers

Answer:

h = 72

Step-by-step explanation:

Given that h varies inversely with g then the equation relating them is

h = [tex]\frac{k}{g}[/tex] ← k is the constant of variation

To find k use the condition h = - 24 when g = 3 , then

- 24 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

- 72 = k

h = - [tex]\frac{72}{g}[/tex] ← equation of variation

When g = - 1 , then

h = - [tex]\frac{72}{-1}[/tex] = 72

Four laps around the track is equal to one mile. It takes Taylor 8 minutes to run 3 laps.
How many minutes would it take Taylor to run 6 miles?
A. 16 minutes
B. 36 minutes
C. 48 minutes
D. 64 minutes

Answers

Answer:

D

Step-by-step explanation:

8x60=480

480÷3=160

160x4=640

640 is 10 Minutes 40 Seconds

6 Miles is 24 Laps

640x6=3840

3840÷60=64

The Answer Will be 64 Minutes.

Need help ASAP with 10

Answers

Answer: 1371.57 calories

Step-by-step explanation:

Plug 150 in for m.

Cube it to cancel out the cube root on the right side:

[tex]150^{3}[/tex] = 3375000

Find its 4th root to cancel out the exponent of 4 on the right side:

[tex]\sqrt[4]{3375000}[/tex] = 42.861

Now multiply by 32 to find r:

42.861 * 32 = 1371.57 calories

Can someone please help me :) ❗❗❗❗❗​

Answers

Answer:

the third option

Step-by-step explanation:

when X is negative f(x) is positive. and when f(x) is negative x is positive

Write the number 0.00058 in scientific notation.

will mark brainliest.

Answers

Answer:

5.8 x 10 -4

Step-by-step explanation:

move decimal to 5.8 then find out how many times the decimal is moved from the final 5.8 to initial .00058

HELP ME PLEASEEEEEE I NEED HELP

Answers

I FOUND THE ANSWER AND IT RIGHT LOL GOOD LUCK  HOPE YOU DO NOT PASS

what is 9÷10 what is the answer​

Answers

Answer:

the answer is 1.20 because i don't know this

Step-by-step explanation:

The answer should be 0.9

Look at the net of square pyramid below l. What is the surface area?

Answers

Answer:

SA = 72 cm²

Step-by-step explanation:

SA = (side x side of square base ) + (0.5BH x 4)

SA = (4 x 4 ) + (0.5 x 4 x 4 x 7) = 16 + 56 = 72 cm²

You can afford a $800 per month mortgage payment. You've found a 30 year loan at 7% interest.
a) How big of a loan can you afford?
$
b) How much total money will you pay the loan company?
c) How much of that money is interest?

Answers

a) You can afford a loan of approximately $96,927.88.

b) You will pay a total of $288,000 to the loan company.

c) Approximately $191,072.12 of that money is interest.

To determine how big of a loan you can afford, we can use the formula for the monthly mortgage payment:

M = P * (r(1+r)^n) / ((1+r)^n - 1)

Where M is the monthly mortgage payment, P is the loan principal, r is the monthly interest rate (annual interest rate divided by 12), and n is the total number of payments (number of years multiplied by 12).

a) First, we need to calculate the monthly interest rate and the total number of payments:

Monthly interest rate = 7% / 12 = 0.07 / 12 = 0.00583

Total number of payments = 30 years * 12 months/year = 360

Now we can plug in the values into the formula:

800 = P * (0.00583 * (1+0.00583)^360) / ((1+0.00583)^360 - 1)

To solve for P, we can rearrange the equation:

P = 800 * ((1+0.00583)^360 - 1) / (0.00583 * (1+0.00583)^360)

Using a calculator, we find that P is approximately $96,927.88.

b) To calculate the total money paid to the loan company, we multiply the monthly payment by the total number of payments:

Total money paid = $800 * 360 = $288,000

c) To determine how much of that money is interest, we subtract the loan principal from the total money paid:

Interest = Total money paid - Loan principal

Interest = $288,000 - $96,927.88

Interest = $191,072.12

For more such questions on interest visit:

https://brainly.com/question/25720319

#SPJ8

Determine the height of the cone. Round to the nearest tenth.
22 cm
24.6 cm
22
cm
HELP ME PLEASE

Answers

Your answer should be 22.0

I used the Pythagorean theorem to find the missing side of the triangle

Make sure to use 24.6 and 11 for your numbers (Not 22 because it is the diameter, and you need the radius)

please could you tell why one is more sweeter and the steps?

Answers

The answer is grandmas because she has more sugar.

Find the length of the third side. If necessary round the nearest tenth

Answers

Answer: 16.5

formula:

c^2 = a^2 + b^2

(a and b are the lines that form a right angle and c is the line that doesn’t)

a = 16

c = 23

Answer:

16.5

Step-by-step explanation:

a² + b² = c²

x² + 16² = 23²

x² + 256 = 529

x² = 273

x = √(273)

x = 16.52271164...

x ≈ 16.5

The perimeter of a square is given as 8x+20 expression

Answers

Answer:

wow that hard even i dont know how to do that

Step-by-step explanation:

sorry

You want to create a scale model for a building that will be 120feet tall and 40 feet wide. If you make the model 6 feet tall, how wide should it be?

Answers

Given:

Length of the building  = 120 feet

Width of the building = 40 feet

Length of the model = 6 feet

To find:

Width of the model.

Solution:

The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.

Let x be the width of the building.

[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]

[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]

[tex]20=\dfrac{40}{x}[/tex]

[tex]x=\dfrac{40}{20}[/tex]

[tex]x=2[/tex]

Therefore, the width of the model is 2 feet.

Help please.........

Answers

Im on sure but probably 0.75
Answer is 0.75 I think lol

“Find the slope and y-intercept of the linear graph” please help I’ll mark brainliest!!

Answers

Y intercept: 2
Slope: 2/-3
(Im sorry if im wrong)

Here is a different function modeling the height of a
potato, in feet, seconds after being fired from a different
device:
-161? + 80t +64
How could you determine the time at which the potato
hits the ground? You do not need to determine the
answer. Just explain HOW you would go about
doing so.
Submit

Answers

Answer:

An object is thrown straight up from the top of a building h feet tall with an initial velocity of v feet per second. The height of the object as a function of time can be modeled by the function h(t) = –16t2 + vt + h, where h(t) is the height of the object (in feet) t seconds after it is thrown.

Step-by-step explanation:

A ball is thrown straight up from the top of a 128 foot tall building with an initial speed of 32 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 32t + 128. How long will it take for the ball to hit the ground?

Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - C(x). Which expression represents P(x), if R(x) = 2x^4 – 3x^3 + 2x – 1 and C(x) = x^4 – x^2 + 2x + 3?

Answers

Answer:

x^4-3x^3+x^2-4

Step-by-step explanation:

Given the following functions

R(x) = 2x^4 – 3x^3 + 2x – 1 and

C(x) = x^4 – x^2 + 2x + 3

We are to find the profit function P(x)

P(x) = R(x) - C(x)

P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)

P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3

Collect the like terms

P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3

P(x) = x^4-3x^3+x^2+0-4

P(x) = x^4-3x^3+x^2-4

Hence the required profit function P(x) is x^4-3x^3+x^2-4

Answer:

x^4-3x^3+x^2-4

Step-by-step explanation:

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