Emma is 10 years younger than Joseph. Joseph's age 6 years from
now will exceed twice Emma's age 2 years ago by 3 years.
How old is Em ma and Joseph now?

Answers

Answer 1

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now


Related Questions

Kevin was playing a trivia game. For each correct answer he scored 1 1 / 2 points. For each incorrect answer he scored - 1 / 2 point. What was his final score if he got 8 correct and 3 incorrect?

Answers

Answer:

42.5

Step-by-step explanation:

Point for correct score  = [tex]\frac{11}{2}[/tex]  = 5.5

Point for incorrect score = [tex]\frac{1}{2}[/tex] = 0.5

Unknown:

Final score = ?

Solution:

Number of correct score  = 8

   Points gained  = 8 x 5.5 = 44

Number of incorrect score  = 3

  Points lost  = 3 x 0.5  = 1.5

His final score  = 44 - 1.5  = 42.5

What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?

Answers

Answer:

-2,-3

Step-by-step explanation:

20. Bob had 7/8 pack of construction paper. If he used 1/5 of the paper to 5 points
make a paper plane, how many WHOLE paper planes could he make? *

Answers

Answer:

3

Step-by-step explanation:

he has 7/8 paper divided by 1/5 paper it takes to make the paper plane, it equals 3.5. Three whole ones

Write 310,763,029 expanded form

Answers

Answer:

300,000,000

10,000,000

700,000

60,000

3,000

20

9

Step-by-step explanation:

HELP URGENT !!!!!!!!!!!

Answers

The answer is B. -14*1=-14 and -14+1=-13.
I believe the answer is B. Please correct me if I’m wrong! Good luck!

A construction worker estimates that a kitchen will take 1 Person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?

A) 4

B) 5

C) 6

D) 7

Answers

Answer:

the answer it 5 also my proff is on Google

HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box

Answers

Well, to find the slope of a line, mx + b = y is the formula, and m is slope.

-71 - 2y = 56
We add the 71 on both sides.
-2y = 126
Divide by -2 on both sides.
y = -63

There is no distinguishable slope in this because y equals an integer, not an expression that includes x or m, so the slope is zero.

Hope this helps! (:

The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?

Answers

Subtract the new value from original value to find the difference:

35 - 28 = 7

Divide the difference by the original amount and multiply by 100:

7/35 = 0.2 x 100 = 20%

The decrease was 20%

Answer:

20%

Step-by-step explanation:

First, subtract the new value from the original value to find the difference between the two.

35 - 28 = 7

Next, divide the difference by the original amount.

7 / 35 = 0.2

Then, multiply by 100.

.2 x 100 = 20%

We now know that the decrease was 20%

find m ABC (2x) (5x+5)

Answers

Answer:

=130

Step-by-step explanation:

(2x) (5x+5) = 180

7x + 5 = 180

7x = 175

x = 25

5(25) + 5 = 125 + 5 = 130

Hope this helps (:

So Can anyone help me with this

Answers

It’s 6 because it move up 6 units and 1 unit to the right. Slope is rise over run so it’ll be 6/1 which equal 6
6

count the number of units from the bottom point to the top (6) and the number of units to the right to get to the point (1)

slope is rise/run so it would be 6/1 which simplifies to 6

What is the slope of the line graphed below?

Answers

The slope is -3/2.....

What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?

Answers

Answer:

96

Step-by-step explanation:

Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)

= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96

What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 20.

Answers

Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.

(a) Find the quantity that will maximize profit.

(b) Find the selling price at this optimal quantity.

(c) What is the maximum profit?

Answers

Answer:

a) x = 798   is the quantity that maximizes the profit

b)po(x) = 401 $/unit

c)P(max ) = 636105 $

Step-by-step explanation:

The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:

R(x) = p(x) * x

R(x) = ( 800 - 0,5*x ) * x

R(x) = 800*x - 0,5*x²

The equation for the profit is:

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

P(x) = 800*x - 0,5*x² - ( 300 + 2*x)

P(x) = 798*x - 0,5*x² - 300

a) P(x) = 798*x - 0,5*x² - 300

Taking derivatives on both sides of the equation:

P´(x) = 798 - x

If P´(x) = 0     then    798 - x = 0

x = 798   is the quantity that maximizes the profit

b) Selling price for the optimal quantity is:

p(x) = 800 - 0,5*x

p(x) = 800 - 0,5* 798

po (x) = 800 - 399

po(x) = 401 $/unit

c) Pmax = ?

P(x) = 798*x - 0,5*x² - 300    by subtitution of  x = 798

P(max) = 636804 - 399 - 300

P(max ) = 636105 $

a) The quantity that will maximize profit is [tex]100 \ units[/tex].

b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.

c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].

Demand Function:

A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.

The given demand function,

[tex]P=800-\frac{1}{2}x[/tex]

So, the revenue function is,

[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]

[tex]\Rightarrow[/tex]Average cost is

[tex]\bar{C}=300+2x[/tex]

So, the total cost function is,

[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]

a) Profit function:

[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]

For maximum,

[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]

b) Selling Price:

[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]

c) Maximum Profit:

[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]

Learn more about of Demand Function: https://brainly.com/question/25938253

y = x²+1 at x=1 what’s the solution?

Answers

y = x^2 + 1
if x = 1 then
y = 1^2 + 1 ( 1^2 = 1 )
y = 1 + 1
y = 2

Please help (click picture)

Answers

Answer:check photo

Step-by-step explanation:

line m passes through point (-2,-1) and is perpindicular

Answers

Perpendicular slope is the opposite reciprocal

The value of a share of stock in an electronics company increased by 2/3 % during one week. If the value of a share of stock was $141 at the beginning of the week, estimate the increase in value of a share of stock at the end of the week.

Answers

Answer:

An increase of $0.94

Step-by-step explanation:

what's the value of X?​

Answers

Answer: X is 107.5

Step-by-step explanation:

Answer:

107.5

Step-by-step explanation:

Multiply 10.75 by 10 to get the value of x.

Hope this helps!

can y’all please answer this

Answers

Answer: 35 , 14

Step-by-step explanation:

[3(-2)^2-4 ]+[8 (3)-3]                     [8(3)-3] -[ 3(-1)^2-4]

35                                                      14

Stephen is in first grade, and his class is creating pasta necklaces! There are two types of pasta to use on the necklaces: long macaroni pieces, and small rotelle pieces which look like wheels with spokes. The directions are to have no more than 35 pieces of pasta on a necklace, and each string is long enough to hold 20 macaroni noodles or 55 pieces of rotelle. Select all of the true statements below.

Answers

Answer:

A: Stephen's necklace Can hold 12 macaroni noodles and 23 pieces of rotelle . C: Stephen's necklace Can have 35 pieces of rotelle E: Stephen's necklace Can have 5 macaroni noodles and 10 pieces of rotelle

Step-by-step explanation:

Option A is true because when you add 12 macaroni noodles to 23 pieces of rotelle, you get 35 pieces of Pasta which is the maximum allowed per necklace.

Option B is untrue because 15 macaroni noodles and 21 rotelle  pieces add up to 36 pasta pieces which is higher than the maximum of 35 allowed.

Option C is true because 35 pieces of Rotelle is not higher than the maximum allowed.

Option D is untrue because even though they still add up to the maximum allowed, a string can take no more than 20 macaroni noodles and this option shows 21 macaroni noodles which is over the limit.

Option E is true as this combination of macaroni noodles and rotelle below the maximum.

30x + 40y =


what is the answer please help me

Answers

Answer:

10(3x + 4y)

Step-by-step explanation:

Dustin surveyed 50 students at his school about their music preferences. The results are in the table.


Music Preference Survey
Type of Music

Hip-Hop- 18
Country- 13
Rock- 11
Other- 8


There are a total of 722 students at Dustin’s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?

A. 180 students
B. 240 students
C. 260 students
D. 405 students

Answers

Answer:

240

Step-by-step explanation:

260 students prefer hip-hop music.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

According to Dustin Survey Hip hop music liked by 18 out of 50

In percentage we can write

x% of 50= 18

50x /100 = 18

x/2 = 18

x= 36%

So, Out of 722 students number of students who prefer hip-hop music

= 36% of 722

= 36/100 x 722

= 260

Hence, 260 students prefer hip-hop music.

Learn more about percentage here:

https://brainly.com/question/29306119

#SPJ6

Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation

Answers

Answer:1.7 x 10 ^ -5

Step-by-step explanation:

Answer:1.7 x 10-5

hope this helps

A student receives a gift card and decides to purchase medium coffees on it at the same coffee shop daily until her
funds are depleted. After purchasing two coffees, her balance is $23.28 (2, 23.28). After buying five coffees, her
balance is $13.20 (5. 13.20). How many total coffees can she buy on the gift card? What was the original balance on
the gift card? Use the graph and table below to help construct a linear function representing this scenario. Type your
solutions in the text box.

Answers

Answer:

4x4=shaggy

Step-by-step explanation:

488 points for defeating 61 enemies

Answers

Divide 488 by 61 to find the unit rate.

488/61 = 8

You get 8 points for defeating each enemy.

Hope this helps

Solve the following step by step

Answers

Answer:

12

by-step explanation:

Multiply both sides by 3. 9x + 21 = 2x + 13
Take away 2x from both sides to get 7x + 21 = 13
Take away 21 from both sides to get 7x = 8
Now divide both sides by 7.
X must be 1 1/7

The cruising speed of a 747 airplane is 9,944 in per second what is the speed to the nearest foot per second

Answers

Answer:

Divide 9944 by 12 feet per second

828.666 or 828.7

Step-by-step explanation:

9514 1404 393

Answer:

  829 ft/s

Step-by-step explanation:

Multiply by a conversion factor that cancels the units you don't want and gives you the units you do want.

  [tex]\dfrac{9944\text{ in}}{\text{s}}\times\dfrac{1\text{ ft}}{12\text{ in}}=\dfrac{828.\overline{6}\text{ ft}}{\text{s}}\approx\boxed{829\text{ ft/s}}[/tex]

2x=(-x)+6 answer and I’ll give brainiest

Answers

2x=(-x)+6
3x=6
X=2

You would add the x to the 2x because negative :)

Answer:

x = 2

Step-by-step explanation:

[tex]2x=-x+6[/tex]

[tex]2x+x=6[/tex]

[tex]3x=6[/tex]

[tex]\frac{3x}{3} =\frac{6}{3}[/tex]

[tex]x=2[/tex]

The grandpapa car traffic function is shown check although following statements are true of the function

Answers

bsjsnshdndjdjdjnsjdndjdndjdndusnsjssjss
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