Three friends, Hannah, Jeremy and Delmon, were watching the Tigers game on TV. The Tigers were losing, so they started talking about how old each of them was. Jeremy, who was the oldest, noticed that they were all between the ages of 11 and 30. Hannah noticed that the sum of their ages was 70. Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!" Hannah then realized that the difference between her age and each of the guys was more than 5 years. How old was each person?

Answers

Answer 1

Answer:

The age of  Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively

Step-by-step explanation:

Let H , J and D be the age of  Hannah, Jeremy and Delmon respectively.

We are given that Hannah noticed that the sum of their ages was 70.

H+J+D=70---1

Now we are given that Delmon, the youngest, burst out, "The difference between me and the oldest is more than 10 years!"

J-D>10

Now we are given that Hannah then realized that the difference between her age and each of the guys was more than 5 years.

So, D-H>5

J-H>5

D-H=5---2

J-H=5

So, D=J

Substitute in 1

2D+H=70 --3

Substitute the value of H from --3 in 2

D-70+2D=5

D=25

So, J = 25

Substitute values in 1

H+25+25=70

H=20

Hence the age of  Hannah, Jeremy and Delmon are 20 years , 25 years and 25 years respectively


Related Questions

PLEASE HELP QUICK!!!!!

Answers

Answer:

C.

That is the closest answer since 8 times 10 6 times gets you 8 million.

Step-by-step explanation:

Answer:

C. 8×10⁶

Step-by-step explanation:

8,406,000 to nearest million is 8,000,000

8,406,000 = 8.406 × 10⁶

8,000,000 = 8 × 10⁶

There are 6 boys for every 7 girls on a playground. How many boys and girls could be playing on the playground? ​

Answers

it can be 6:7 12:14 and so on

a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=

Answers

Step-by-step explanation:

hope this helps you!! :))

The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

What is angle ?

Angle is the space between two lines or surfaces that meet, and is  measured in degrees.

So,

According to the question;

[tex]\angle x =65^0[/tex]

([tex]\angle x[/tex]  is vertically opposite of the given angle  [tex]65^0[/tex])

[tex]\angle y = 71^0[/tex]

(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)

We know that,

Sum of all angles of triangle is equals to [tex]180^0[/tex].

i.e.

[tex]x+y+z=180^0[/tex]

we have,

[tex]65+71+z=180[/tex]

[tex]z=180-136[/tex]

[tex]z=44^0[/tex]

So, the value of [tex]z[/tex] is [tex]44^0[/tex].

Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

To know more about angle click here

https://brainly.com/question/7116550

#SPJ2

There are two other ways to write this fraction.

−15/29
List them in the space below.

Answers

Answer:

-30/58 & -45/87

Step-by-step explanation:

The first answer is just multiplying the original by 2.

The second one is being multiplied by 3.

The multiplicated moves DO NOT CHANGE THE VALUE OF THE ORIGINAL FRACTION, meaning that they are equivalent. :))

estimate 29.14 divided by 3.2071

Answers

Answer:

9.05 is my estimate

Step-by-step explanation:

The actual answer should be 9.08 etc....cause its a repeating decimal.

Write the equation of the line in slope-intercept from (y=Mx+b) given:

Answers

Y=4/3x-2 is the answer

X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..

Answers

Answer:

I think is c

Step-by-step explanation:

Write an equation for the line that contains the points (-6,5) and (-12,-13).

Answers

Answer:

Step-by-step explanation:

you make y2-y1 over x2-x1 with the points so -13-5 over -12- -6 and that equals -18 over -6 simplified to 3

HURRY PLEASE I’ll mark you as brainliest

What is the line's y-intercept?

Answers

Answer:

1

Step-by-step explanation:

Solve for n
(40-2n)divided by 4=8?

Answers

Answer:

n = 4

Step-by-step explanation:

(40 - 2n) ÷ 4 = 8

10 - 0.5n = 8

-0.5n = 8 - 10

-0.5n = -2

n = 4

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

the correct answer is n=4

When a figure is increased to make a larger image, are the two figures congruent?

Answers

Answer:

No because Congruent means the same, but since it's a different size than the original then they aren't the same.

Step-by-step explanation:

30 - 19r + 15 - 9r =
25 points!

Answers

Answer:

45-28r

Step-by-step explanation:

30+15-19r-9r

45-19r-9r

45-28r

I hope this is right! Hope this helps!

Answer:

[tex]45-28r[/tex]

Step-by-step explanation:

Combine like terms

[tex]30-19r+15-9r = 30+15-19r-9r=45-28r[/tex]

Dolly earns $6.40 per hour. She worked 28.25 hours last week. How much did Dolly earn last week?

Answers

Answer:

180.8

Step-by-step explanation:

multiply 6.40 with the hour 28.25

Hope this helps!

Multiply $6.40 by the number of hours and you will get $180.80

Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1.69 a square foot, what is the total costs to tile the kitchen?

Answers

Answer:

Total Cost of tile =  $273.28

Step-by-step explanation:

From the given information:

Let the width be = x

Then, the length of the rectangular kitchen is L = 3x - 9

The perimeter is = 6x

Suppose the cost of the tile = $1.69 a square foot.

Then the total costs to tile the kitchen is calculated as follows:

The Perimeter of the rectangle =  2(L + b)

The Perimeter of the rectangle =  2(3x - 9 + x)

The Perimeter of the rectangle =  2(4x-9)

6x = 8x - 18

- 2x = - 18

x = 18/2

x = 9

Thus, the width = x = 9 ft

the length = 3x - 9 = 3(9) - 9

the length = 27 - 9

the length = 18 ft

Area = L × W

Area = (18 × 9)ft  

Area =   162 sq. ft.

Cost of a Tile = $1.69 per sq. ft.

Thus;

Total Cost of tile = $1.69 × 162

Total Cost of tile =  $273.28

Answer:

$273.78

Step-by-step explanation:

the other guy is wrong my dude

An active horse can eat up to 9 pounds of food for every 300 pounds of body weight each day. At this rate, how much does an active horse weight if he eats 36 pounds of food every day pls helpp pls ​

Answers

Answer:

I believe its 1,200 pounds.

Step-by-step explanation:

9 × 4 = 36 so youd multiply 300 by 4 as well. I'm not sure but I think this is correct.

For each value of y, determine whether it is a solution to 7= y ÷ 3.​

Answers

the answer is yes, 21

Step-by-step explanation:

you would multiply 7 and 3 to get y

a swimmer swam the 50 meter freestyle in a time of 21 seconds what was his speed to the nearest tenth of a meter per second PLEASE HELP

Answers

Answer:

2.4

Step-by-step explanation:

50/21=2.380.....

          2.38

          2.4

Answer:

50/21 or 2 8/21 meters per second

Step-by-step explanation:

Well speed is the distance divided by the time, so, 50 is the distance and 21 is the time, so, you divide 50 by 21 to get the answer

determine whether the given expressions are perfect square trinomials. Write "P" if it is a perfect square trinomial and "N" if not. Write your answer on your answer sheet.

1.) a^2 - 22a + 121
2.) b^2 - 8b + 16
3.) 4d^2 + 20d - 25
4.) 100 + 50e + e^2
5.) 36r^2 - 60rt + 25t^2

thank you in Advance


Answers

1) P
2) P
3)N
4)N
5) P
Hope this helps

4.1 times 3.14 times two

Answers

Answer:

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.

Step-by-step explanation:

can  you help me?

Answer:

25.748

Step-by-step explanation:

If you multiply 4.1 by 3.14, your answer comes out to 12.874. Multiply that by 2 and you get your answer of 25.748. Hope this helps.

If you are buying at item at a store for a price of $41, and there is a 5.3% tax added on top, what would be the total amount due at the register, to the nearest cent?

Answers

Answer:

$53.92

Step-by-step explanation:

x/100=5.3/41

Cross Multiply

41x=530

41x/41=530/41

x=12.92

41+12.92=53.92

Answer: $43.17

Step-by-step explanation:

%53 = 0.053

Percent formula:

a ( 1 + r )

41 (1 + 0.053)

41 (1.053)

43.173

round

Factor the following trinomial completely. Look first for the greatest common factor.
6r^2+14r−12

Answers

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

Factor [tex]6r^2+14r-12[/tex]

[tex]6r2+14r-12[/tex]

[tex]=2(3r-2)(r+3)[/tex]

Answer:

[tex]2(3r-2)(r+3)[/tex]

Step-by-step explanation:

[tex]6r^2+14r-12[/tex]

Start by factoring out the greatest common factor, [tex]2[/tex]:

[tex]2(3r^2+7r-6)[/tex]

Factor out the trinomial in the parentheses using the "Reverse FOIL" method (Write 2 parentheses and factor out the trinomial into them):

[tex]2(3r-2)(r+3)[/tex]

_

To check:

(Multiply First, Outside, Inner, Last):

[tex]2(3r^2+9r-2r-6)[/tex]

Combine like terms:

[tex]2(3r^2+7r-6)[/tex]

Distribute the [tex]2[/tex]:

[tex]6r^2+14r-12[/tex]

Solve the equation. Identify any extraneous solutions.
h = sqrt 3h

-3 is a solution of the original equation. 0 is an extraneous solution.

0 and 3 are solutions of the original equation.

3 is a solution of the original equation. 0 is an extraneous solution.

0 is a solution of the original equation. 3 is an extraneous solution.

Answers

Answer:

It's the second option:

0 and 3 are both solutions.

Step-by-step explanation:

h = √(3h)        Square both sides:

h^2 = 3h

h^2 - 3h = 0

h(h - 3) = 0

h = 0, 3.

If we plug h = 0 into the original equation:

0 = √(3*0) = 0 so this is a root.

x = 3:

3 = √(3*3) = 3 so this is also a root.

Answer:0 and 3 are solutions of the original equation.

Step-by-step explanation:

Evaluate.
please help

me solve this

Answers

Answer:

[tex]1[/tex] [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} [/tex]

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.

Answers

Answer:

Anand can afford is 6hours

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Given the point (1, 2) and a slope of 4, write the equation in point slope form.

Answers

Answer:

y - 2 = 4(x - 1)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where m is the slope:

Plug in the slope and the given point:

y - y1 = m(x - x1)

y - 2 = 4(x - 1)

So, the equation in point slope form is y - 2 = 4(x - 1)

#2: Tell whether the function below is linear or exponential.
y = 4 • 2^x


Answers

O Linear
O Exponential

Answers

Answer:

Exponential

Step-by-step explanation:

For this question you need to understand what is a linear function and what is an exponential function.

Linear function is a function where any variable x,y,z has the power of maximum 1 for example

x+y=1

7x+2y=10

1000x+9999y=40000

The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1

Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].

So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.

what is the simplest form of 8y-4x=-56 ?​

Answers

About the only thing you can do with it is divide both sides by 4.

Then you have

2y - x = -14

Need help with this please help

Answers

Answer: 3/4

Step-by-step explanation:

Slope=rise/run

In this case we rise up 3

And we run 4 to the right

Which makes the slope 3/4

Hi ! The answer would be 3/4.

To get this answer, the red line represents the RISE, and the blue line represents the RUN.

Your slope will always have RISE/RUN.

Now, you count how many squares there are in your rise, in this case, 3.

Then, you do the same for your run, which would be 4.

Rise/Run becomes 3/4.

What would determine it to be a negative? Well, if you see charts like these: You'll see that the red is going up, it is a positive slope, while the blue, which is going down, is a negative slope.

For example, if sales at your store increased, your slope would go up (positive), while if the opposite it'd go down (negative).

In this case, it is a positive slope.

(−45)(158)(73)(−1)
QUICK

Answers

Answer:

If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.

Step-by-step explanation:

multiplying will get you 519,030 because-45x158= -7,110 and 73x-1=-73 and when you multiply -7,110 and -73 you get positive 519,030 because a negative times a negative equals a positive

Can someone help me it would be appreciated

Answers

Answer:

X^6 is the GCF

Step-by-step explanation:

Because what x^6 is will be more than x^4

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