Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.

Answers

Answer 1
Hello There!

I feel as though you missed out a part of your question but i have already done this so i know the question.
Mandy's age can be represented as m
Sandy's age can be represented as s.
[tex] \frac{m}{s} [/tex] = [tex] \frac{2}{5} [/tex]
s = [tex] \frac{5m}{2} [/tex]
After 8 years:
[tex] \frac{m+8}{s+8} [/tex] = [tex] \frac{1}{2} [/tex]
Equation:
2m + 16 = s + 8
2m + 8 = s
2m + 8 = [tex] \frac{5m}{2} [/tex]
Therefore, m = 16
s = [tex] \frac{5m}{2} [/tex]
s = [tex] \frac{5(16)}{2} [/tex]
s = 40
Mandy is 16 now
Sandy is 40 now
40 - 16 = 24
Therefore, Caitlin is correct.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
Answer 2
Mandy and sandy's present ages are 16 years and 40 years respectively.
and the difference in their ages is 24 years.
So, Caitlin is right.

Related Questions

jill is applying for a car loan. which individual will run her credit report to determine if she's eligible for a car loan?
a. creditor
b. government representative
c. employer
d. landlord

Answers

a creditor will run her report,

 creditor = credit report.

Answer:

a) Creditor

Step-by-step explanation:

a) Right. Creditor

She's applying for a Car loan, the Creditor, i.e. the one who is going to lend her the money to buy a new car. In this case, if Jill is applying to a bank . The creditor will be the Bank she's applying for.

Let's look a the definition of Creditor:

A creditor is a person or company that provides credit to another person or company functions as a creditor.

creditor. (n.d.) Lightbulb Press Dictionary of Financial Terms. (2008). Retrieved September 18, 2019

b) Wrong. There is no direct cause-effect relation since a Government Representative might describe virtually any public civil servant. And also her application has nothing to do with Public Funding.

c) Wrong. Her employer is not the person appointed to determine if she's able to receive the loan. As her boss He/She whether Jill is eligible for a car loan.

d) Wrong. Similarly, her landlord is not the person appointed to determine if she's able to receive the loan.

ANYONE KNOW ACCOUNTING???

Answers

Single rule=>no more entries
Excess expenses=> net loss
Excess revenue=> net income
Owner's equity=>internal liabilities
Double rule=>ready to add
Accounting equation=>matching concept

Hope it helps!

is -22 an irrational number???

Answers

-22 is not an irrational number     





no its a rational number

The sum of a number and its reciprocal is 13/6. find the number

Answers

suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2

Ken went to the store with his mother he spent 2.37 on groceries in addition his mother said he can spend 0.35 on candy what was his change from a five dollar bill

Answers

$2.28
2.37+0.35 = 2.72
5.00-2.72 = 2.28

five cakes cost £4.00 how much do 7 cost

Answers

Greetings!

We can solve this by creating an algebraic equation.
[tex]5/4=7/x[/tex]
Cross Multiply.
[tex]5*x=4*7[/tex]
[tex]5x=28[/tex]
Divide both sides by 5.
[tex](5x)/5=(28)/5[/tex]
The Answer Is:
[tex]x=5.6[/tex]

Seven cakes would cost $5.60.

Hope this helps.
-Benjamin

Footrace takes place among 4 runners, how many ways to finish the race

Answers

4 * 3 *2 *1 = 24 different ways

What was true about settlement of the louisiana territory?

Answers

The settlers wanted to adopt the same system of slavery in from France. France is one the colonizers who have introduced slavery into their colonies in order to mass produce products like tobacco, wheat and more. France was forced to sell Louisiana on the eve of the revolt of Saint Domingue, one of their colonies in the Caribbean Islands.

Answer:

Settlers in the territory wanted the same approach to slavery as in the states they came from

Step-by-step explanation:

Write the equation in slope-intercept form of the line that has a slope of -3 and contains the point (4, -5).

Answers

y-(-5) = -3(x-4)
y+5= -3x +12
y= -3x +7

help me please!!!!!!!

Answers

i'll give you answer for 48 once you give me the complete version of it

Find two consecutive positive even integers whose product is 168

Answers

Hello There!

The integers you are looking for are 12 and 14.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

To rent a certain meeting room, a college charges a reservation fee of
$
31

and an additional fee of
$
6.60

per hour. The history club wants to spend at most
$
77.20

on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use
t

for the number of hours the meeting room is rented, and solve your inequality for
t

.
thank you for your help =)

Answers

31 + 6.60h <=77.20

6.60h <= 46.20

46.20/6.60 = 7

 they can rent up to 7 hours

Sam packed 42kg of rice into one big bag and 6 small ones which are of the same size. the big bag contained 3/7 of the rice. how many kilograms of rice did each small bag contained?

Answers

if the big bag contained 3/7 of the rice, then the smaller bags contained 4/7.
so the smaller bags contained : 4/7(42) = 168/7 = 24 kg.....and their are 6 small bags...so each bag contained : 24/6 = 4 kg per bag <==

Sonia has three bracelets. she wears them all at the same time but in a diffrient order each day how many diffrent bracelet combinations dose sonia have to chose from?

Answers

There are 3 bracelets.
The first bracelet can occupy a position in 3 ways.
The second bracelet can occupy the remaining 2 positions in 2 ways.
The third bracelet can occupy the remaining position in 1 way.
The total number combinations is
3*2*1 = 6

Answer: 6

In an equilateral triangle, what is the relationship between the length of a side and the perimeter?

Answers

1:3
If each side is x, the the perimeter is 3x.  x/3x = 1/3

Answer:

1:3

If each side is x, the the perimeter is 3x.  x/3x = 1/3

Step-by-step explanation:

The measures of two complementary angles are in the ratio of 5:7. what is the measure of the smaller angle?

Answers

Final answer:

To find the measure of the smaller angle with a ratio of 5:7 in two complementary angles, set up an equation based on the sum of 90 degrees, leading to a solution where the smaller angle measures 37.5 degrees.

Explanation:

The question asks to find the measure of the smaller angle when two complementary angles have a ratio of 5:7. To solve this problem, we recall that complementary angles sum up to 90 degrees. Since the angles are in a ratio of 5:7, we can denote the measures of the smaller and larger angles as 5x and 7x, respectively.

By combining these ratios, we have 5x + 7x = 90 degrees, which simplifies to 12x = 90 degrees. Solving for x gives us x = 90 / 12 = 7.5. Therefore, the measure of the smaller angle is 5x = 5 × 7.5 = 37.5 degrees.

A man bought a horse and carriage for $500 paying three times as much for the carriage as for the horse how much did each cost

Answers

Hello! So, in order to solve this question, we should do 500/4. 500/4 = 125. Multiply 125 by 3 and you get 375. The horse costs $125 and the carriage costs $375.
the horse was $125  and carriage  was $375

the georges traveled 498.2 miles on 15.8 miles of gas how many miles per gallon did they get to the nearest tenth of a mile?

Answers

31.5 is the gas milage
31.5 
hope this helps!!

write 25.784 in expanded form

Answers

No expanded form is when all the numbers are broke up
I will be writing the 3 different types of expanded form's

Expanded Notation Form: 

20+5 + 0.7 + 0.08

Expanded Factors Form:
 2 × 10 + 5 × 1 + 7 × 0.1 + 8 × 0.01 + 4 × 0.001

Expanded Exponential Form:

2 × 101 + 5 × 100 + 7 × 10-1 + 8 × 10-2 + 4 × 10-3

Word Form:

twenty-five and seven hundred eighty-four thousandths

MATH HELP PLEASE !!!!!!!!!

Answers

3.14 *2r = 157

divide both sides by 3.14

2r = 157/3.14 =50

2r=50

divide both sides by 2

r = 50/2 =25

r = 25

What is the correct evaluation of 3x2 + 4x - 2y2 + 4y + 5, when x is equal to -1 and y is equal to 5?

Answers

Final answer:

The expression 3x^2 + 4x - 2y^2 + 4y + 5 evaluates to -26 when x = -1 and y = 5.

Explanation:

The evaluation of the expression 3x2 + 4x - 2y2 + 4y + 5 when x is equal to -1 and y is equal to 5 is calculated by substituting these values into the equation.

First, substitute x = -1 into 3x2 + 4x, which gives 3(-1)2 + 4(-1) = 3 * 1 - 4 = 3 - 4 = -1.Next, substitute y = 5 into -2y2 + 4y, which gives -2(5)2 + 4*5 = -2 * 25 + 20 = -50 + 20 = -30.Add up the results from step 1 and step 2, and include the constant 5 from the original expression to find the final result: -1 - 30 + 5 = -26.

Therefore, the correct evaluation of the expression when x = -1 and y = 5 is -26.

Solve each data for x: (a) a rectangle has (2x + 1) and (x +2) as length and width. Its area is 77 (b.) a triangle has (2x+2) and (x+3) as base and height. Its area is 35

Answers

area of a rectangle: A= Length*width
(2x+1)(x+2)=77
2x^2+4x+x+2=77
2x^2+5x+2=77
2x^2+5x-75=0
(x-5)(2x+15)=0
x=5 or x=-7.5
Length cannot be negative, so x=5 only
the length is 11, the width is 7
Next, let's look at the triangle.
Area of a triangle: A=1/2 of base*height
(1/2)(2x+2)(x+3)=35
2x^2+8x+6=70
2x^2+8x-64=0
x^2+4x-32=0
(x-4)(x+8)=0
x=4
the base is 10, the height is 7

What is the value of n? -6.5(n - 5) = 18.2

Answers

-6.5(n-5) = 18.2

-6.5n + 32.5 = 18.2

-6.5n = -14.3

n = -14.3 / -6.5 = 2.2

n = 2.2

Classify the triangle formed by the given side lengths:
3, 4, 6
a. right triangle
b. acute triangle
c. obtuse triangle
d. not a triangle

Answers

acute because 3+4+6 gives me 13 which is less than 90 so acute would be your answer

PLEASE HELP!
The prize for winning a contest can be chosen from category A or category B. Prizes from category A have a mean of $1000 and a standard deviation of $50. Prizes from category B have a mean of $1000 and a standard deviation of $300. Describe an advantage of each prize category.

Answers

       x         115
--------- = ------
 216.75   100
216.15*115=249263.25
249263.25/100=249.2625
x= 249.26  B

solve 14x^2 + 42x + 70 = 0

Answers

Answer:

  x = -3/2 ± i(√11)/2

Step-by-step explanation:

The quadratic formula can be used directly, but I find it convenient to divide by 14 first:

  x^2 +3x +5 = 0

The solution to ...

  ax^2 +bx +c = 0

is given by the formula ...

  x = (-b ±√(b^2 -4ac))/(2a)

Here, we have a=1, b=3, c=5, so the formula gives the solutions ...

  x = (-3 ±√(3^2 -4·1·5))/(2·1) = -3/2 ± i(√11)/2 . . . . . solutions are complex

sylvie finds the solution to the system of equations by graphing.

y=2/3x+1 and y=-2/3x-1

which graph shows the solution to sylvie’s system of equations?

a) graph 1
b) graph 2
c) graph 3
d) graph 4

Answers

c) graph 3
Point 3,3 satisfies y=2/3x+1 

Answer:

solution is (-1.5,0)

Graph 3

Step-by-step explanation:

[tex]y=\frac{2}{3}x+1[/tex]and [tex]y=-\frac{2}{3}x-1[/tex]

In the first equation [tex]y=\frac{2}{3}x+1[/tex]

slope = 2/3 and y intercept is 1

Lets start with graphing y intercept +1  

then we slope , move 2 units up and 3 units to the right. stop at (3,3)

Now we graph the second equation

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

slope = -2/3 and y intercept is -1

Lets start with graphing y intercept -1  

then we slope , move 2 units down and 3 units to the right. stop at (3,-3)

both graph intersects at a point (-1.5,0)

A tennis supply store pays a wholesaler 90 for a tennis racquet and sells it for 144 what is the markup rate

Answers

uh i dont know if its multiplication or subtraction

What is the shape of a parallel cross section of a sphere?

Answers

The answer is a circle. Hope this helped :)
a sphere is round so when you take a cross section it would be a circle

A family paid 28,800 as a down payment for a home if this represents 16% of the price of the home find the price of the home

Answers

divide the down payment by the percentage

28,800 / 0.16 = 180,000

 the price of the home is $180,000

To get the price of their home you have to divide the down payment by the percentage to get your answer. 

28,800 ÷ 0.16 = 180,000

 So the price of their home is $180,000.

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