In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.

Harry is _ years old, and Jim is _ years old.

Please Help!

Answers

Answer 1

Answer:

Harry is 2 years old and Jim is 6 years old.

Step-by-step explanation:

set up the equations. let harry be h and jim be j.

h+4=j

j+2=2(h+2)

plug in the j from the first equation.

you should get h=2 (harry is two years old)

if h+4=j, 2+4=j. so j=6 (jim is six years old)

Answer 2

Answer:

Harry is 2 years old and Jim is 6 years old.

Step-by-step explanation:

Let x years be Harry's age now and y years be Jim's age now.

1. In 4 years, Harry’s age will be x+4 years. If in 4 years, Harry’s age will be the same as Jim’s age is now, then

[tex]x+4=y.[/tex]

2. In 2 years, Jim's age will be y+2 years and Harry's age will be x+2 years. If in 2 years, Jim will be twice as old as Harry will be, then

[tex]y+2=2(x+2).[/tex]

Solve the system of two equations:

[tex]\begin{array}{l}x+4=y\\y+2=2(x+2).\end{array}[/tex]

Substitute y=x+4 into the second equation:

[tex]x+4+2=2(x+2),\\ \\x+6=2x+4,\\ \\6-4=2x-x,\\ \\x=2[/tex]

and [tex]y=2+4=6.[/tex]


Related Questions

Pls help complete the proof

Answers

Answer:

Consider the given figure.

Given: [tex]\angle A=\angle D[/tex]

To prove: [tex]\Delta ACB \sim \Delta DCE[/tex]

Proof:

   Statements                                                               Reasons

1. [tex]\angle BCA = \angle DCE[/tex]                      Vertically opposite angles

2. [tex]\angle A = \angle D[/tex]                                   given

Hence, the given triangles are similar by AA similarity criteria as "AA criterion for triangle similarity states that if two triangles have two pairs of congruent angles, then the triangles are similar".

A storeowner orders 25 calculators that cost ​$48 each. The storeowner can sell each calculator for ​$60. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a ​$2 charge for each returned calculator​ (although the initial cost is​ refunded). What is the​ storeowner's profit?

Answers

25*48=1,200

So we start at -1,200

22*60=1,320

So currently we are at a profit of $120.

120-6=114


Total profit: $114

Final answer:

As per the given values, the storeowner's profit is $114.

Explanation:

Total number of calculators = 25

Cost of calculators = ​$48

The amount at which they can be sold = $60.

To calculate the storeowner's profit, we need to consider the total cost and total revenue.

First, calculate the total cost of the calculators:
25 calculators x $48 each
= $1200.Next, calculate the total revenue from the sale of the calculators:
22 calculators x $60 each
= $1320.Deduct the cost of the returned calculators:
3 calculators x $2 charge each
= $6.Finally, calculate the profit:
Total revenue - Total cost - Cost of returned calculators
= $1320 - $1200 - $6
= $114.

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there are 11 regular players and 5 substitute players on a soccer team how many players are on 15 soccer teams ??

Answers

Answer:

225 players (including the substitutes)

Step-by-step explanation:

11 regular player and 4 substitutes makes 15 team members per team.

15 players on each team times 15 teams gives you 225 players in total.


Final answer:

The total number of players on 15 soccer teams can be calculated by multiplying the total number of players (including regular and substitute) on one team (16 players) by the number of teams (15), which equals 240 players.

Explanation:

The subject of this question is Mathematics, and it's referencing a concept of multiplication in a real-world context. To determine the total number of players on 15 soccer teams, you consider that each team is composed of 11 regular players and 5 substitutes. So, the total number of players on one team is 16 (11 regular players + 5 substitutes).

To find out the number of players on 15 teams, you multiply the number of players on one team by 15. That is, 16 players * 15 teams = 240 players. So, there are 240 players on 15 soccer teams.

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The figure shows five points. A point has been translated right and up

Answers

A point has been translated right and up from point D could be the image of B.

It indicates that a point was translated right and up.

As a result, any point existing on the rightmost side cannot be the translated point.

As a result, points E and D are ruled out.

There is no point that is higher than point A.

As a result, no "up" translation is available for point A.

Only points C and B are capable of "right and up" movement.

As a result, the first option "Point D could be the image of B" is correct.

Which value is the same as 2 tenths?

Answers

One fifth
1/5

.........
Final answer:

2 tenths is equal to 0.2 in decimal format. This is derived from its fraction format, 2/10, and its place value in the base-ten number system, which is a 'tenths' place.

Explanation:

In mathematics, the value that is equivalent to 2 tenths is 0.2. This is because when we say 'tenths', we are referring to a fractional or decimal value that has a denominator of ten in the context of fractions or one place after the decimal point.

Therefore, 2 tenths is essentially 2 divided by 10 which equals 0.2 in decimal format. We can further illustrate this using a base-ten number system. In this system, each place to the right of the decimal point represents a 'tenths' place value. Therefore, in the number 0.2, the digit '2' is in the 'tenths' place.

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Dan wants to make 12 pancakes but what quantity of each ingredient should he use for 240g plain flour,2 eggs and 600ml milk?

Answers

Final answer:

To make 12 pancakes, Dan should use 20g of plain flour, 2 eggs, and 50ml of milk.

Explanation:

To determine the quantity of each ingredient needed to make 12 pancakes, we can use the ratio of ingredients given in the recipe:

240g plain flour : 2 eggs : 600ml milk

To find the quantity of plain flour needed for 12 pancakes, we can set up a proportion:

240g / x = 12 / 1

Cross multiplying, we get:

x = (240g * 1) / 12

x = 20g

Therefore, Dan should use 20g of plain flour for 12 pancakes. Similarly, he should use 2 eggs and 50ml of milk for 12 pancakes.

Which is the graph 3x + 5y=-15

Answers

It's a linear function. We need only two points to the plotting of the graph.

[tex]3x+5y=-15\qquad\text{subtract 3x from both sides}\\\\5y=-3x-15\qquad\text{divide both sides by 5}\\\\y=-\dfrac{3}{5}x-3\\\\for\ x=0\to y=-\dfrac{3}{5}(0)-3=0-3=-3\to(0,\ -3)\\\\for\ x=-5\to y=-\dfrac{3}{5}(-5)-3=-3+3=0\to(-5,\ 0)[/tex]

Drag and drop the answers into the boxes to correctly convert between decimals, fractions, and percents. Decimal Fraction Percent 0.045 9/20 9/200 9/2000 0.45% 4.5% 45%

Answers

Answer:

see below    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

9/20  = .45  = 45%

9/200 = .045  =  4.5%

9/2000 = .0045 = .45%

Final answer:

To convert between decimals, fractions, and percents, you can follow these steps:

Explanation:

To correctly convert between decimals, fractions, and percents:

To convert a decimal to a fraction, count the number of decimal places and put the decimal part of the number over the appropriate power of 10. In this case, 0.045 has three decimal places, so the fraction is 45/1000.To convert a fraction to a percent, multiply the fraction by 100. In this case, 9/20 multiplied by 100 is 45%.To convert a decimal to a percent, move the decimal point two places to the right and add a percent symbol. In this case, 0.045 becomes 4.5%.

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Select the expressions that are equivalent to 2(9r)

2(-3r+12r)

r+11

r+18

18r

HELP ASAP PLEASE!!!

Answers

Answer:

18r

Step-by-step explanation:

Multiply 9 by 2

Julia is allowed to watch no more than 5 hours of telivison a week. So far this week, she has watched 1.5 hours. write and solve an inequality to show how many hours of teli she can watch this week. ( can u show your work along with it? )

Answers

Answer:

she can watch 3.5 hours this week.

Step-by-step explanation:

Julia is allowed to watch no more than 5 hours of television a week.

Let x be the number of hours she can watch per week

number of hours not more than 5 hours

so x<=5

She already watched 1.5 hours. so inequality becomes

x+ 1.5 <= 5

Now we solve for x

subtract 1.5 on both sides

x + 1.5 < = 5 - 1.5

x < = 3.5

So, she can watch 3.5 hours this week.

please help I'm good with geometry put I'm stuck on these questions

Answers

I don't see any questions. I will gladly help you when you upload the questions.

Do they qualify for bankruptcy?

Answers

Answer:

no


Step-by-step explanation:

they do not :)

Which statement about skew Lines and parallel lines is true

Answers

skewlines have opposite reciprocal slopes ,and parallel lines have opposite reciprocal slopes

Answer:

The answer is C. Skew lines do not intersect, and parallel lines do not intersect.

Compute the following 8c8

Answers

Answer:

1

Step-by-step explanation:

using the definition of n[tex]C_{r}[/tex]

= [tex]\frac{n!}{r!(n-r)!}[/tex]

where n! = n(n - 1)(n - 2)........ × 3 × 2 × 1

note that 0! = 1

8 [tex]C_{8}[/tex] = [tex]\frac{8!}{8!(0!)}[/tex]= 1 ← cancel 8!


write the equation of a line that is perpendicular to the given line and passes through the given point
y-2=-1/4(x+3);(-3,5)

Answers

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the line

[tex]y-2=-\dfrac{1}{4}(x+3)\to m=-\dfrac{1}{4}[/tex]

If m₁ and m₂ are the slopes of the perpendicular lines, then

[tex]m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]

Therefore the slope of ouer line is

[tex]m=-\dfrac{1}{-\frac{1}{4}}=4[/tex]

We have the point (-3, 5). Put the coordinates to the equation of a line in the point-slope form:

[tex]y-5=4(x-(-3))\\\\\boxed{y-5=4(x+3)}[/tex]

i am confused help plz

Answers

Answer:


Step-by-step explanation:

a 6(m+3)

b expression

equation

A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of pi π

Answers

Answer:

C = 35 pi

Step-by-step explanation:

The new diameter is 5 + 30 = 35

The circumference = pi * d

The circumference = 35*pi

Answer:

35π cm

Step-by-step explanation:

Hope this helps!

-8 + (+7)= add. need help

Answers

Question

-8 + (+7)=


Answer:

-1

Step-by-step explanation:

the expression -8 +(+7) is equal to 7 - 8 (commutative property)

7 - 8 = -1

Write the expression 6a-2(a-1) in simplest form

Answers

Final answer:

To simplify the expression 6a - 2(a - 1), distribute the -2 across the terms inside the parentheses, and then combine like terms to get the simplest form, which is 4a + 2.

Explanation:

To simplify the expression 6a - 2(a - 1), you need to distribute the -2 across the terms inside the parentheses and then combine like terms. Here's the process step by step:

Distribute the -2 to both a and -1 inside the parentheses: -2 x a gives us -2a, and -2 x -1 gives us +2.Write out the new expression without parentheses: 6a - 2a + 2.Combine like terms by subtracting -2a from 6a, which results in 4a.Add the constant term 2 to get the final simplified expression: 4a + 2.

The simplest form of the expression is 4a + 2.

True or False? The unemployment that follows when something changes the economy so much that there is a mismatch between workers and work is an example of structural unemployment.

Answers

Answer:

True


Step-by-step explanation: This is an example of structural unemployment because the economy changed forcing businesses to change and this of course made the workers that used to be compatible with this job  incompatible making it a structural unemployment.


Final answer:

Structural unemployment is the correct term for the unemployment that occurs when there is a mismatch between workers and work due to changes in the economy.

Explanation:

True, structural unemployment occurs when there is a mismatch between the skills and qualifications of the available workers and the requirements of the available jobs due to changes in the economy.

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Solve h + p = 4(k − 8) for k.

Answers

Answer:

[tex]\frac{h+p+32}{4}[/tex]

Step-by-step explanation:

distribute the parenthesis

h + p = 4k - 32 ( isolate 4k by adding 32 to both sides )

h + p + 32 = 4k ( divide both sides by 4 )

k = [tex]\frac{h+p+32}{4}[/tex]


expand the brackets, to get 4k-32

sp you have; h + p = 4k - 32

add 32 to both sides==     h + p + 32 = 4k

/4

k= (h + p+ 32)/4

Anyone know? Will mark brainliest if correct!

Answers

The answer is A. g(x).

Here's why:

f(x) = -x^4 - 2: This function is a downward-facing parabola (due to the negative coefficient of x^4) with a maximum y-value at its vertex. The vertex occurs at x = 0, and the maximum y-value is f(0) = -2.

g(x) = -3x^3 + 2: This function is a cubic function with a local maximum, but it does not have a global maximum. However, its maximum value is still greater than the maximum value of f(x).

Key points:

The maximum y-value of f(x) is limited to -2 because of the negative leading coefficient and the constant term of -2.

g(x) doesn't have a defined maximum y-value, but it can reach values greater than -2, making its maximum value larger than that of f(x).

Therefore, g(x) has the largest maximum y-value among the two functions.

Which graph represents the piecewise-defined function? y={−45x−3   if  x<03x−10   if  x≥2

Answers

Step-by-step explanation:

[tex]y=\left \Bigg\{ {\big{-45x-3 \qquad x < 0} \atop \big{3x - 10 \qquad x \geq2 }} \right.[/tex]

[tex]\begin {array}{c|c}{ x&y}}\\ -\infty&-\infty\\-2&-93\\-1&-48\\ 0 &-3^*\\1&nothing\\2&-4\\3&-1\\4&2\\ \infty&\infty\\\end{array}[/tex]

* open dot

You did not provide the graphs to choose from so use the table above to determine which graph fits those coordinates.

Make sure that:

(0, -3) has an open dotnothing is plotted between x = 0 and x = 2(2, -4) has a closed dot

Ashley has a square flower garden that has an area of 400 square yards. What is the length of one side?

Answers


[tex] \sqrt{400} = 20 \: yards[/tex]
The length is 20 square yeards

Which equation is a point slope form equation for line AB?

a) y−2=−2(x+6)
b) y−2=−2(x+2)
c) y−6=−2(x+2)
d) y−2=2(x+2)

Answers

Answer:

the answer is c

Step-by-step explanation:


Answer:

c) y−6=−2(x+2)

Step-by-step explanation:

The general point slope form equation is:

y - y1 = m*(x - x1)

where x and y are the variables, (x1, y1) is the coordinate of a point on the line and m is the slope of the line.

To calculate the slope of the line we need two points on the line (x1, y1) and (x2, y2) and the following equation:

m = (y2 - y1)/(x2- x1)

Coordinates of point A: (-2, 6)

Coordinates of point B: (2, -2)

Replacing into the equation:

m = (6 - (-2))/(-2 - 2)

m = 8/(-4)

m = -2

Replacing this value and coordinate of point A into the general point slope equation we get:

y - 6 = -2*(x - (-2))

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

recursive formula 2,5,11,23

Answers

Answer:

The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ... (sequence A055010 in the OEIS)


Step-by-step explanation:


A recipe calls for 40 ounces of meat.How many pounds of meat does the recipe require?

Answers

Answer: 40 ounces=2.5 pounds


Step-by-step explanation:

Since 1 pound=16 ounces. You have to see how many times 16 goes into 40, it goes in forty 2 times with 8 left over so that means we need  decimal, since 8 is half of 16 the answer is 2.5.


Final answer:

To convert 40 ounces of meat to pounds, divide by the unit equivalence of 16 ounces per pound, resulting in 2.5 pounds of meat needed for the recipe.

Explanation:

The student is asking how many pounds are equivalent to 40 ounces of meat. To find the answer, you will need to know the unit equivalence between ounces and pounds.

The unit equivalence is 1 pound = 16 ounces. Therefore, to convert ounces to pounds, you divide the number of ounces by the unit equivalence.

Converting 40 ounces to pounds:

Start with the given amount in ounces: 40 ounces.Use the unit equivalence: 1 pound = 16 ounces.Divide 40 ounces by 16 ounces per pound to find the number of pounds.

40 ounces ÷ 16 ounces/pound = 2.5 pounds

So, the recipe requires 2.5 pounds of meat.

How many outcomes are in the sample space

Answers

Answer:

The number of objects multiplied.

Step-by-step explanation:

Say you have a dice and a spinner. The dice has 6 sides and the spinner has 4 sides. 6x4=24. So you take the number of outcomes of each object and multiply it.

the answer is 4 hope this helped

prime factorization of 39

Answers

Answer:

3 * 13 is the prime factorization

Step-by-step explanation:

We need to break 39 down into primes

39 = 3 * 13

Both 3 and 13 are primes so we are done

Answer:

3*13

Step-by-step explanation:

the factors of 39 are 3 and 13

16.45 markdown 33% what’s the anwser

Answers

dude, use a calculator

Step-by-step explanation:


Greetings!

Answer:

= 11.02

Step-by-step explanation:

Firstly, we need to find the percentage of the amount left first. This can be done by subtracting the percentage from 100:

100 - 33 = 67

To find the percentage of something, you need to use the following equation:

Amount x [tex]\frac{percentage}{100}[/tex]

Simply plug the given values in:

16.45 x [tex]\frac{67}{100}[/tex] = 11.02

So the answer is 11.02!


Hope this helps!
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