Right now Seth's age is 4/5 the age of his brother Eric. Twenty-one years ago, Eric was twice as old as Seth. What are their ages now?

Answers

Answer 1

Answer:

          Present Time                                                                

Let X= Eric's age                                                            (4/5)X= Seth's age

Question:  What are their ages now?________________________________________________________________________

                                             Past (21 years ago)

X-21 =Eric's age                                                                (4/5)X-21=Seth's age

2*[4/5(X-21]=Eric's age

Therefore, X-21= 2*[4/5(X)-21]=Eric's age           Substitution

_______________________________________________________________________

X-21= 8/5 X  - 42         Solve for "X" by adding 42 to both sides.

X-21+42=(8/5) X

X+21 = (8/5)X              Subtract "X" from both sides.

21=(3/5)X                    Multiply both sides of equation by reciprocal of (3/5), which is 5/3

21*(5/3)= X                  Finish the problem to find value of "X," which is Eric's age.  

                                   Then find  4/5 (X)= Seth's age  

Answer 2

Seth age = 4/5 × Eric's age

seth age = x

eric age = y

x = 4y/5 .....eqa 1

2(x-21) = y-21 ......eqa 2

2(4y/5 - 21) = y-21

8y/5 - 42 = y -21

8y/5 - y = 21

1.6 y - y = 21

0.6 y = 21

y = 35 years Eric's age

x = 28 years Seth's age


Related Questions

TY QUESTION ON PIC⚠️❗️

Answers

Answer:

144

Step-by-step explanation:

Multiply length x width x height

9 * 8 * 2 = 144

144 is the answer u multiply nine by eight then seventy two by two

Ten less than the product of 5 and a number
(worth 60 points)

Answers

Answer:

5n - 10

Step-by-step explanation:

Put this in numerals and signs:

Ten less than the product of 5 and a number

10      -                     5n

We already have 10 and 5.

Less than means to subtract

Since we do not know what the "number" truly is, we can use a variable. I will choose the letter, n.

Product means to multiply, times, so that would be 5 times n, but we do not need the symbol, ×, because as long as it is next to the number, it means multiplication.

Since 10 is less than 5n, 5n is greater than 10, which means 10 would be behind the minus sign.

Therefore, the expression is 5n - 10

Answer:

5a - 10

Explanation:

The word "less" defines subtraction. This means that the minuend is 5a. and ten is the subtrahend.

=> 5a - 10

Hence, the expression is 5a - 10.

An airplane flew 6,772 miles one day. The next day it flew
1,252 miles. Which distance is a reasonable estimate of
how many more miles the airplane flew on the first day
than on the second day?

Answers

Answer:

5520 miles

Step-by-step explanation:

6,772 miles - 1,252 miles = 5520 miles

what should be added to 3pq plus 5 p square q square + P cube to get P Cube + 2 p square q square ​

Answers

Answer:

-3pq -3p²q²

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

solve for x ~
[tex]3 \: (14 - 5x) =16 - 12x[/tex]

thankyou ~​

Answers

[tex] \sf \: 3(14 - 5x) = 16 - 12x[/tex]

[tex] \sf \: 42 - 15x = 16 - 12x[/tex]

[tex] \sf \: - 15x + 12x = 16 - 42[/tex]

[tex] \sf \: - 3x = - 26[/tex]

[tex]\sf x = \frac{ \cancel -26}{ \cancel- 3} [/tex]

[tex] \large \boxed{\sf \underline{ \color{green}x = \frac{26}{ 3} }}[/tex]

Hope Helps~

the number 54 is a multiple of 9 TRUE OR FALSE

Answers

if you were to multiply 9 by 6 you would get 54, so yes its true.

Answer:

Yes because a multiple is a number that can be divided by another number without a remainder.

Step-by-step explanation:

54 divided by 9 equals 6

QUESTION ON PIC THX!

Answers

Answer: So you basically subtract 67 by 20% of it so that is

67-20%

Which is 53.6.

So the answer is $53.60

Answer:

The answer is $53.6

Step-by-step explanation:

Here,

67 × 20 ÷ 100 = 13.4

Now,

$67 – $13.4 = $53.6

Thus, The current price of the item is $53.6

-TheUnknownScientist 72

Teresa is 46 inches tall. She is twice as tall as Lloyd. In the equation below, h represents Lloyd's height in inches.
46 = 2h
How tall is Lloyd?
23 inches
44 inches
48 inches
92 inches​

Answers

Answer:

23 inches

Step-by-step explanation:

she is 23 inches tall. 23 divided by 2 = 46

Graph a linear equation passes through (-2, 0) and (0, -6).

Use two points to create the graph.

What is the equation of the line?

Answers

Answer:

y= -3x-6 should be the answer :)

What is the exponential form of the equation log5(x-4)=3

Answers

Answer:

5^3 = x - 4

Step-by-step explanation:

Use the log definition (see attached).

5^3 = x - 4

Which statements are true about a perfect cube monomial and its roots? Check all that apply.

1. A perfect cube monomial must have exponents on the variables.
2. A perfect cube monomial must have three identical roots, such that the product of the roots equal the perfect square monomial.
3. The coefficient of the monomial must be divisible by 3.
4. Any monomial can be a perfect cube root.
5. The least common multiple of all the exponents on variables of a perfect cube monomial must be 3.
6. It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.

pls help

Answers

Answer:

The answers are 1(A), 4(D), and F (6)

Step-by-step explanation:

1. A perfect cube monomial must have exponents on the variables.

TRUE

2. A perfect cube monomial must have three identical roots, such that the product of the roots equal the perfect square monomial.

FALSE

3. The coefficient of the monomial must be divisible by 3.

FALSE

4. Any monomial can be a perfect cube root.

TRUE

5. The least common multiple of all the exponents on variables of a perfect cube monomial must be 3.

FALSE

6. It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.

TRUE

Hope this helps!

Answer:

A, D, F

Step-by-step explanation:

A, D, F

I took the test

A recipe requires 1 2/3 cup of sugar. If Ms. Vasquez is going to make half of the recipe, then how much sugar does she need?

Answers

Answer:

she needs 15/6 or 2 3/6 ir 2 1/2 cups of sugar

Step-by-step explanation:

1 2/3=5/3 5/3+5/6 10/6+5/6

Answer:5/6 cup of sugar?

Step-by-step explanation:

Usually sugar isn’t measured in sixths but mathematically it would be 1 2/3 divided by 2 which would be 5/6 and that can’t really be converted into standard baking measurements?

Find the sum of 6 1/2 + 3 2/3​

Answers

Answer: 10 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

6 + 3 = 9

3/6 + 4/6 = 7/6

9 + 7/6 = 9 7/6 or 10 1/6

BRAINLIEST QUESTION ON PIC TY⚠️

Answers

Answer:

sin(y)=24/25

cos(y)=7/25

tan(y)=24/7

Step-by-step explanation:

We know sinФ=Opposite/Hypotenuse, cosФ=Adjacent/Hypotenuse, and tanФ=Opposite/Adjacent. We can remember this with SOH-CAH-TOA.

We know our angle is y. The Adjacent to y is 7. The opposite to y is 24. The hypotenuse is 25.

Now, we can plug the given information into the formulas in order to get the solutions.

sin(y)=24/25

cos(y)=7/25

tan(y)=24/7

How do I solve for x and y?

Answers

Check the picture below.

Consider the right rectangular prism.

What is the volume of the right rectangular prism, in cubic inches?

Answers

Answer:

430 and 1/2 cubic inches

Step-by-step explanation:

20.5 x 9 x 2.33 equals 429.885, which rounds up to 430 and 1/2 cubic inches

Im not quite sure how to solve this one

Answers

Answer:

see attachedaverage cost decreases as volume increases

Step-by-step explanation:

1.

The problem statement tells you the fixed cost is $1800. It is "fixed" because it does not depend on the number of cups sold.

The variable cost per cup sold is said to be $0.59, so the total variable cost for a week will be the product of that value and the number of cups sold.

Fixed and variable costs are added to get the Total Cost. Total cost is divided by the number of cups sold to get the Average Cost. A spreadsheet performs this math nicely. (See attached.)

__

2.

If you consider the equation for average cost based on the above description, you see is its ...

  ac = tc/q = (fc +vc)/q = (1800 + 0.59q)/q

  ac = 1800/q +0.59

where ac=average cost; tc=total cost; fc=fixed cost; vc=variable cost; q=quantity sold

You can see that the average cost will go down as quantity increases, because it spreads the fixed cost over a larger number of cups.

Solve the inequality. Graph the solution
-9 < m - 6

Answers

Answer: m>−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−9<m−6

Step 1: Flip the equation.

m−6>−9

Step 2: Add 6 to both sides.

m−6+6>−9+6

m>−3

Last month a nurse worked fourteen 10 hour shifts and two 12 hour shifts. At $21.00 per hour, what was the nurse's monthly income before deductions?​

Answers

Answer:

i think it’s $3,792 because 11 • 10 = 110 and 12 • 4 = 48 so 110 + 48 = 158 and 158 • 24 = 3,792

Step-by-step explanation:

A taxi ride from the airport to the hotel is $15.50. If the taxi charges a flat fee of $3.50 and $0.75 per mile, then how many miles is the hotel from the airport?
Please answer this, and thank you.

Answers

Answer:

3.50+0.75x = 15.50

0.75x = 12 divide both sides by 0.75 to get your answer

Please help! 1/3x+3/4+2/3x-1/4-2/3.

Answers

3x - 1/2

-

3

you have to do 1/3 x 3/4 added by 2/3 x + -1/4 + -2/3

there is a lot of steps but the answer is there find the common denominator multiply and yea

Solve for x.

4x + 3 = 35

Answers

Answer:

x = 8

Step-by-step explanation:

4x + 3 = 35

subtract 3 from both sides

4x + 3 - 3 = 35 - 4

4x = 32

divide both sides by 4

4x / 4 = x

32/4 = 8

we're left with x = 8

Answer:

x = 8

Step-by-step explanation:

To solve for x you need to isolate it

First, subtract 3 from both sides, so you end up with:

4x = 32

Then, divide both sides by 4 to isolate the x

x = 8

A group of teenagers are asked about their favourite hobbies. The results are shown in the following table: Sports Playing video games Watching films Total
Male 9 2 3 14
Female 7 3 8 18
Total 16 5 11 32
Q6a. In fractions, what is the probability that a teenager selected at random is female and their favourite hobby is watching films? You can simplify this fraction if you wish.

Answers

Using the probability concept, it is found that there is a [tex]\frac{1}{4}[/tex] probability that a teenager selected at random is female and their favorite hobby is watching films.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

There is a total of 32 teenagers.Of those, 8 are female with a favorite hobby of watching films.

Hence:

[tex]p = \frac{8}{32} = \frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] probability that a teenager selected at random is female and their favorite hobby is watching films.

You can learn more about the probability concept at https://brainly.com/question/15536019

Mel must buy 30 packs of dried fruit which store offers the lower price?

Answers

Karmels fruit stand is: $25 for 30 packs
Fresh foods market is: $24 for 30 packs

Fresh foods market offers the lower price

Hope this helps

fresh foods

Step-by-step explanation:

find a multiple such as 15  and caculate

3 x 5 = 15 |5 x 3= 15     for fresh foods its 4 per 5 so 15 - 3

and karmels is 3 for 2.50  thus 15 is 2.50 x 5 or 12.50

This is for calculus worth 30 points

I need help on question c please help me on it anyone

Answers

The exact slope is impossible to know for sure, because the function is not written out explicitly. (If we did, we could just do dV/dt evaluated at t = 10.)


However, you can estimate the slope at P by finding the average rate of change between t=5 and t=15, or by taking the average of the slopes of the adjacent secants. There are several ways to approximate the answer, but I don’t think you can find its exact value.

The event planner wants to put a podium at one of the foci. Which describes where the podium could be located relative to the center?
288 feet south
288 feet west
692 feet east
692 feet north​

Answers

From the coordinate plane, the podium that could be located relative to the center will be B. 288 feet west.

Coordinate plane

From the complete information, there is a park in Washington and the event planner plots the park on a coordinate plane.

The table contains points along the perimeter of the park. Since the event planner wants to put a podium at one of the foci, the point where the podium could be located relative to the center will be 288 feet west.

Learn more about coordinate plane on:

https://brainly.com/question/13854649

Show work Solve for x.


5 =2x − 3

Answers

Answer: 4

i hope this helps

the first step was

5=2x-3

5=2x-3

then the picture shows the rest

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]5 = 2x - 3[/tex]

Add 3 both sides:

[tex]\rightarrow 5 + 3 = 2x - 3 + 3[/tex]

[tex]\rightarrow 8 = 2x[/tex]

Divide 2 both sides:

[tex]\rightarrow \dfrac{8}{2} = \dfrac{2x}{2}[/tex]

[tex]\rightarrow\boxed{4 = x}[/tex]

A store is selling jeans at 30% off the original price. You want to purchase a pair of jeans that was original $28. What is the sale price of the jeans?

Answers

Answer:

8.4$

Step-by-step explanation:

In other words, a 30% discount for a item with original price of $28 is equal to $8.4.

A baker needs `2/3` cup of sugar, but he can only find a `1/2` cup measure, so he decides to estimate. Which of the following would result in the correct amount of sugar?

Answers

2/3=(4/3) / 2 so he needs 4/3 scoops. that is 1 and 1/3 scoops

The solution is,  1 and 1/3 scoops would result in the correct amount of sugar.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

A baker needs `2/3` cup of sugar, but he can only find a `1/2` cup measure, so he decides to estimate.

so, we have,

2/3=(4/3) / 2

so he needs 4/3 scoops.

that is 1 and 1/3 scoops

The solution is,  1 and 1/3 scoops would result in the correct amount of sugar.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

In ABC A=42°C=56° and a = 12. Find c. Round to nearest tenth.

Show Work plzzz!!!

Answers

Answer:

[tex]c=6.8[/tex]

Step-by-step explanation:

Law of Sines

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Solve for side c

[tex]\frac{sin(42^\circ)}{12}=\frac{sin(56^\circ)}{c}\\\\ csin(42^\circ)=12sin(56^\circ)\\\\c=\frac{12sin(56^\circ)}{sin(42^\circ)}\\ \\c\approx6.8[/tex]

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