Eleana and her grandfather both had birthdays last week.
• The sum of their ages is 100 years.
• Her grandfather's age is 4 times Eleana's age.
How old is Eleana and her grandfather?

Answers

Answer 1

Answer:

Eleana is 20 years old and her grandfather is 80 years old.

Step-by-step explanation:

So first off, we want to make variables to represent Eleana and her grandfather.

Let x represent Eleana's age.

Since her grandfather is four times older than Eleana,

The expression should be 4x+x=100

Step One

Add the x's together and you get 5x=100.

Step Two

Divide both numbers by 5 to solve for x.

x=20


Related Questions

A jar contains three red marbles and five green marbles. A marble is drawn at random and not replaced. A second marble is then drawn from the jar. Find the probability that the first marble is red and the second marble is green.

Answers

Answer:  

P(red then green) = 5/8 * 3/7 = 15/56

Step-by-step explanation: Since this is a logical "and" case, we have to multiply the separate events' probabilities...thus  P(red then green) = 5/8 * 3/7 = 15/56

Answer:

3/28

Step-by-step explanation:

3 red+ 5 green = 8 marbles in the jar

1st marble:

P(red) = number of red/ total = 3/8

We keep the marble

2 red+ 5 green = 7 marbles in the jar

P(green) = number of green/ total = 2/7

P (red,keep,green) = P(red)* P(green) = 3/8*2/7 = 6/56 = 3/28

A field has 7,363 1/8 square feet. The width of the field is 62 1/4 feet. Estimate the length of this field.​

Answers

It’s 118.28 because you would divide 7,363.125 by 62.25 and you get that. You’re trying to find length x width so 118.28 x 62.25 is 7,363.125.

James’s four-year-old brother is trying to arrange black and yellow Legos in rows. He has 56 yellow Legos and 120 black Legos. He wants to arrange them in rows so that there are either only yellow or only black Legos in each row, and so that each row has the same number of Legos. What is the least number of rows he can make?

Answers

Answer:

22

Step-by-step explanation:

Final answer:

The four-year-old brother can arrange the Legos in rows of 8.

Explanation:

To find the least number of rows the four-year-old brother can make with the black and yellow Legos, we need to determine the greatest common divisor (GCD) of 56 and 120. The GCD will represent the number of Legos in each row.

To find the GCD, we can use the Euclidean algorithm. Divide the larger number (120) by the smaller number (56). The remainder is 8. Then, divide the smaller number (56) by the remainder (8). The new remainder is 0.

Therefore, the GCD of 56 and 120 is 8. This means that the four-year-old brother can arrange the Legos in rows of 8, with 7 rows of black Legos and 1 row of yellow Legos, or vice versa.


The area of a parallelogram is 74, with the base measuring triple the height. If the unknown variable represents the height of the parallelogram, what does each variable in the model represent?
A parallelogram with height h and base b.
h =
b =

Answers

Answer:

The answer is A. 88.8 cm2

Work:

74 x 2 = 148

14.8 = 29.6

Add them = 177.6

Step-by-step explanation:

Answer:

h=x

b=3x

Step-by-step explanation:

Just got it right on Edge.

DUE TODAY NEED HELP ASAP! WILL MARK BRAINLIEST TO THE FIRST PERSON WHO ANSWERS

Answers

Answer:

1 I would use the news and newspaper maybe

2. I would not use social media like T.T and Inst

That is all I could help with sorry And i could not put real names it would not let me sorry

Step-by-step explanation:

Which shows the most likely side lengths for a parallelogram? A. 9, 4, 9, 4. B. 9, 9, 9, 4 C. 4, 4, 4, 9 or D. 4, 9, 9, 6

Answers

Option A(9,4,9,4) shows the most likely side lengths for a parallelogram because opposite sides of parallelogram are always equal.

Hope it will help u...

Explain why a rectangle is a convex quadrilateral

Answers

Answer:

this is because of two diagonals which lie in the interior of the rectangle.

What is the equation for ⊙A?

Answers

Answer:

Circumference = 3.14 diameter     C = 3.14(6)     Answer: 18.84  

Step-by-step explanation:

The equation for circle at A is (x+4)²+(y+2)²=9 whose radius is 3 units.

The equation of the circle is (x-h)²+(y-k)²=r²

Where h and k are the coordinates of centre of circle and r is radius of the circle.

From the given figure (h, k) is (-4, -2) and r is 3 units

Plug in these values in the equation of circle.

(x-(-4))²+(y-(-2))²=3²

(x+4)²+(y+2)²=9

Hence, the equation for circle at centre A is (x+4)²+(y+2)²=9 whose radius is 3 units.

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What is the probability of a die landing on an even number on the first toss, and then an odd number on the second toss?
Dice- 6 sides

Please help

Answers

Answer:

i dotn know sorry

Step-by-step explanation:

and this is why brainly is bad

Answer:

1/4 chance

Step-by-step explanation:

Number of even numbers on a die-3

Number of odd numbers on a die-3

a die has 6 sides,

therefore

1/2 of the numbers on a die are even and 1/2 are odd

so a 3/6 chance (1/2 chance (simplify)) of landing on an even number on the first roll

And  a 3/6 chance (1/2 chance (simplify)) of landing on an odd number on the second roll

Multiply the two together and a 9/36 chance of this event or simplified to a 1/4 chance of this event

Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?​

Answers

Answer:

No, They are not equivalent

Step-by-step explanation:

The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.

The variable in this question is x.

To prove this, we equate both expressions:

[tex]10x + 6 = 5x + 11[/tex]

[tex]10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1[/tex]

This shows that they have the same value ONLY when x is 1.

This is why Andre says that they are equivalent, but they are not.

Final answer:

No, I do not agree with Andre because the two equations 10x + 6 and 5x + 11 are indeed equivalent.

Explanation:

No, I do not agree with Andre. Two equations are considered equivalent if they have the same solution for all values of x.

Let's check if 10x + 6 and 5x + 11 are equivalent by substituting x = 1 into both equations:

For 10x + 6: 10(1) + 6 = 10 + 6 = 16

For 5x + 11: 5(1) + 11 = 5 + 11 = 16

We can see that both equations indeed equal 16 when x is 1, so Andre is correct in this case. 10x + 6 and 5x + 11 are equivalent equations.

hello:) I need help with this. Thanks!

Answers

Answer:

Please see the attached pictures for full solution

Solve the following linear system by graphing
4x+5y=10
3x-3y=21




Answers

Answer:

y = 2

x = 5

Step-by-step explanation:

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×4 |

12x + 15y = 30

12x - 12y = 84

____________--

27y = -54

y = -54/27

y = 2

4x + 5y = 10 | ×3 |

3x - 3y = 21 | ×5 |

12x + 15y = 30

15x - 15y = 105

____________+

27x = 135

x = 135/27

x = 5

Which ratio can be used to solve for y in the triangle below?

sin75/25= sin40/y
sin40/25= sin75/y
sin25/75= siny/40
sin25/40= siny/75​

Answers

Answer:second one should be correct I took this last year

Step-by-step explanation:

area of rectangle:

Area is 21 square units. The Width of rectangle is 5 less than 4 times the length. Find the Dimension.

Write the formula and answer MUST SHOW ALL WORK!

Answers

Answer:

its 7 for width and 3 and length

Step-by-step explanation:

L * W = 21

W= 4L-5

find the factors for 21 which is 21 and 1 or 7 and 3. Plug in which one is valified. 7 and 3 are correct.

Find the common difference: 1, 201, 401, 601, ... A

Answers

They are all 200 bigger than each other y = x + 200
Final answer:

The common difference of the arithmetic sequence 1, 201, 401, 601, ... is 200, which is the difference between successive pairs of terms.

Explanation:

In Mathematics, the common difference in an arithmetic sequence is the amount by which successive terms increase. In the given series: 1, 201, 401, 601, ..., the common difference can be found by subtracting a term from the term after it. For instance, if we subtract 1 (the first term) from 201 (the second term), we get 200. If we do the same for 201 and 401 (the second and third terms), we also get 200. This means that the common difference for this arithmetic sequence is 200.

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Describe the translation that maps ABCD onto A’B’C’D’

A. Left 6, up 5
B. Left 6 down 5
C. Right 6, up 5
D. Right 6, down 5

Pls don’t do this just for the points.

Answers

Answer:

D

Step-by-step explanation:

The translation that maps ABCD onto A’B’C’D’ is Right 6, down 5.

What is the translation of coordinates?

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

In fact, during translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

The translation that maps ABCD onto A’B’C’D’ is;

Shift ABCD to the right side by 6 units then shifted down by 5 units to get A'B'C'D'.

ABCD moved ( 6 units ) times to the ( right), and ( 5 units ) times to the ( bottom) to convert into A'B'C'D'.

Hence,  the translation that maps ABCD onto A’B’C’D’ is Right 6, down 5.

Learn more about transformation here;

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Match each equation to the situation it represents. Situation Equation An adult and 5 55 children rent skates. It costs $ 4 $4dollar sign, 4 per adult for skates and a total of $ 16 $16dollar sign, 16. It costs Mikael $ 4 $4dollar sign, 4 to make a bike bag, and he sells each for $ 5 $5dollar sign, 5. He has made a profit of $ 16 $16dollar sign, 16 so far. It was 16 ° C 16°C16, degree, start text, C, end text. It began falling 4 ° C 4°C4, degree, start text, C, end text per hour until it reached 5 ° C 5°C5, degree, start text, C, end text. 16 − 4 x = 5 16−4x=516, minus, 4, x, equals, 5 ( 5 − 4 ) x = 16 (5−4)x=16left parenthesis, 5, minus, 4, right parenthesis, x, equals, 16 4 + 5 x = 16 4+5x=164, plus, 5, x, equals, 16

Answers

Answer:

1. C.

2. B.

3. A.

Step-by-step explanation:

First situation given:

An adult and 5 children rent skates. It costs $ 4 per adult for skates and a total of $ 16.

Correct equation: C

4 + 5 x = 16

Second situation given:

It costs Mikael $ 4 to make a bike bag, and he sells each for $ 5. He has made a profit of $ 16, so far.

Correct equation: B

( 5 − 4 ) x = 16

Third situation given:

It was 16°C. It began falling 4°C per hour until it reached 5°C.

Correct equation: A

16 − 4 x = 5

Equations are matched to situations based on the context provided: the adult and children renting skates is described by 4 + 5x = 16, Mikael's profit from selling bike bags fits the equation (5 - 4)x = 16, and the temperature dropping over time corresponds to 16 - 4x = 5.

To match each equation to its corresponding situation, let us consider each situation and then associate the relevant equation.

Adult and children renting skates: An adult rents skates at $4, and the total cost including 5 children is $16. The equation representing the total cost is the adult's cost plus 5 times the children's cost equals $16, which is: 4 + 5x = 16.

Mikael making a profit from bike bags: Mikael spends $4 to make a bike bag, sells it for $5, and has made a profit of $16. To determine how many bags he sold (x), we can use the equation that accounts for profit, which is the selling price minus the cost of making the bag, multiplied by the number of bags, equals the profit: (5 - 4)x = 16.

Temperature drop: The temperature started at 16°C and dropped at a rate of 4°C per hour until it reached 5°C. To find the number of hours (x) it took for the temperature to drop, we can use the equation that links the initial temperature, minus the drop per hour times the number of hours, equals the final temperature: 16 - 4x = 5.

Now, we can clearly match the equations to their situations:

The situation where an adult and children rent skates corresponds to the equation 4 + 5x = 16.

Mikael making a profit from selling bike bags is represented by the equation (5 - 4)x = 16.

The decrease in temperature over time until it reached 5°C is described by the equation 16 - 4x = 5.

lung cancer kills about 3,000 people per day. if 90% of the deaths from luung cancer are attributted to smoking, what is the rate of people who die from smoking each day?

Answers

Answer:

2700!

Step-by-step explanation:

hope that helped <3

Find the x value 2x=6

Answers

Answer:

x = 3

Step-by-step explanation:

2x = 6

x = 3 (Because we divide on both sides by 2 so that the x is by itself, 6/2 = 3)

2x=6
2x divide by 2 is x, 6 divided by 2 is 3
So you are left with x=3

Answer correctly, will mark brainliest answer !!!

Answers

Answer:

x-6

Step-by-step explanation:

The formula for the area of a rectangle is (l)(w)

x-5(w)=x²-11x+30

To solve, you need to put the quadratic equation into standard form

x-5(w)=(x-5)(x-6)

Divide both sides of the equation by x-5 to isolate the width(basically strike out x-5 on both sides)

the width is x-6

I pretty sure that's the right answer since (x-5)(x-6)=x²-11x+30, but I'm in geometry right now, and I had to go back and re-learn.

You raise $420 during a fundraising event. The amount of money that you raise is 120% of your goal. How much more did you raise than your goal?

Answers

9514 1404 393

Answer:

  $70

Step-by-step explanation:

The excess amount is 20% of the goal. The given amount is 120% of the goal, so the proportion of the given amount that is excess is ...

  (20% of goal)/(120% of goal) = 1/6

Then the excess is (1/6)($420) = $70.

You raised $70 more than the $350 goal.

Final answer:

The original fundraising goal was $350, and since $420 was raised, which is 120% of the goal, $70 more was raised than the goal.

Explanation:

To find out how much more was raised than the goal during the fundraising event, start by understanding the percentage given. The $420 raised is 120% of the goal, which means the goal amount represents 100%. To calculate the original goal, you should divide the amount raised by the percentage raised (expressed as a decimal), so you divide 420 by 1.2 (since 120% as a decimal is 1.2).

Now, calculate the goal amount:
420 / 1.2 = $350

Therefore, the original goal was $350. Since the amount raised was $420, we subtract the goal from the amount raised to determine how much more was raised:
420 - 350 = $70.

Thus, the amount raised exceeded the goal by $70.

1/2(2n+4)+6=-9+4(2n+1)

Answers

Answer:

13/7 =n

Step-by-step explanation:

1/2(2n+4)+6=-9+4(2n+1)

Distribute

n +2 +6 = -9 + 8n +4

Combine like terms

n +8 = 8n -5

Subtract n from each side

n+8-n = 8n-n-5

8 = 7n-5

Add 5 to each side

8+5 = 7n-5+5

13 =7n

Divide each side by 7

13/7 = 7n/7

13/7 =n

Answer:  n = 13/7 = 1.857

( I hope this is right )

Step-by-step explanation:

A cylinder has a volume of 140 pi cubic meters and a height of 14 meters. What is the area of the base?
10 pi square meters
12 pi square meters
126 pi square meters
1,960 pi square meters

Answers

Answer:

10

Step-by-step explanation:

divide 140 by 14 and you get 10

Using the slope formula for the points (1, 5) and (2, -2), what would the denominator be? 2 - 1 2 - 5 -2 - 5 -2 - 1\

will mark brainliest

Answers

Answer:

2-1

Step-by-step explanation:

Given two points we can find the slope using

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

    = (-2 -5)/(2-1)

     = -7/1

   = -7

The denominator is 2-1

Answer:

2 - 1

Step-by-step explanation:

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

= (-2 - 5)/(2 - 1)

= -7

Dimensions of a building are 345 feet by 295 feet. If 1 inch represents 42 feet, what are the dimensions of the building on the drawing? Answer in terms of decimals. Round to hundredths place.

Answers

Answer: 8.21 in by 7.02 in

Step-by-step explanation: You would divide 345 by 42 AND 295 by 42, you would get 8.21 from 345 by dividing with 42 and you would get 7.02 by dividing by 7.02 and before you make your final answer MAKE SURE ITS IN INCHES!!!

What is the approximate volume of the tube? Round to the
nearest whole cubic centimeter
A cylindrical cardboard tube with a diameter of 8
centimeters and a height of 20 centimeters is used to
package a gift
20 cm
1,005 cm
1,340 cm?
03.351 cm
4,021 cm
8 cm

Answers

Answer:

Cylinder Volume   =   π • r² • height

radius = 4 cm

Volume   =   π • 4^2 * 20

Volume   =   PI * 320

Volume   =   1,005.3096491487 which rounds to

1,005 cubic centimeters

Actually ALL those answers should say CUBIC CENTIMETERS.

Step-by-step explanation:

Write an equation of the circle with center (8.-3) and radius 6

Answers

Answer:

  (x -8)^2 +(y +3)^2 = 36

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r2

Putting your numbers into this form gives ...

  (x -8)^2 +(y +3)^2 = 36

What is the area of triangle ABC?
0 2.5 square units
3 square units
3.5 square units
04 square units

Hurry

Answers

Answer:

A = 3 units^2

Step-by-step explanation:

The area of a triangle is

A  = 1/2 bh where b is the length of the base and h is the height

b = the distance from B to C = 4 units = 2  ( watch the scale)

h = the distance from A to C along the x axis =6 units = 3  (watch the scale)

A = 1/2 (2)(3)

A = 3 units^2

If a = -3 find the value of 2a

Answers

Answer:

2a= -6

Step-by-step explanation:

a= - 3

2a= 2(-3)= -6

Answer:

-6

Step-by-step explanation:

-3×2=-6

The probability of rolling a 6 on a biased die is 1/5

Work out the probability of rolling exactly one 6

Answers

Answer:

if the probability of a 6 is 1/5, the probability of “not six” is 4/5. The probability of a 6 on the first roll and not on the second is 1/5 x 4/5 = 4/25. The six could come on the second roll so that probability must be doubled. The overall probability of exactly one six is 8/25 or 0.32.

Step-by-step explanation:

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Which sentence uses a verb in the interrogative mood?A)Did you score a touchdown at the football game?B)At last week's football game, you scored two touchdowns!C)I wondered if you scored a touchdown at the football game.D)If you were to score a touchdown at the football game, your team could win. Rearrange the equation so r is the independent variable.10q-5r=30 Suppose you double the radius length of a circle. What happens to the circumference and to the number of radii that will fit around the circle? GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture) Which of the following statements is true of a theory? It is used to organize and explain specific facts. It is invariably the same as a hypothesis. It can only be expressed as a mathematical formula. It cannot be modified to account for new data. A machine with a book value of $80,000 has an estimated five-year life. A proposal is offered to sell the old machine for $50,500 and replace it with a new machine at a cost of $75,000. The new machine has a five-year life with no residual value. The new machine would reduce annual direct labor costs from $11,200 to $7,400.Prepare a differential analysis whether to continue with the old machine or place the old machine. The Environmental Protection Agency and health officials nationwide are concerned about the levels of radon gas in homes. The half-life of the radon-222 isotope is 3.8 days. If a sample of gas taken from a basement contains 2.1 g of radon-222, how much radon will remain in the sample after 4.94 days? Answer in units of g. Assume that long earlobes in humans are an autosomal dominant trait that exhibits 30% penetrance. A person who is heterozygous for long earlobes mates with a person who is homozygous for normal earlobes. What is the probability that their first child will have long earlobes (State probability as a decimal and round to the nearest hundredth i.e. 0.01 with no extra spaces)? HELP!! Which of these colonies would be most likely to be tolerant of different religious beliefs? A)New Hemisphere B)New Jersey C)Rhode Island D)Massachusetts Which sentence is punctuated correctly?A)Your homework, I'm sorry to tell you is plagiarized and will receive a zero.B)Your homework I'm sorry to tell you, is plagiarized and will receive a zero.C)Your homework I'm sorry to tell you is plagiarized and will receive a zero.D)Your homework, I'm sorry to tell you, is plagiarized and will receive a zero. The volume and mass of the brain has increased about threefold from early human ancestors such as Australopithecus afarensis, to modern humans, Homo sapiens. There have been several speciation events along the human lineage between these two endpoints. The model of punctuated equilibrium would be applicable to this trait if: A girl turns over a plastic cup so that the open end is facing down, and thencompletely submerges it in a pool of water. In doing so, she traps air in thecup so that both the air and the cup have a volume of 237 cmApproximately how much force must she use to keep the cup from poppingup out of the water, assuming that the weight of the cup and air can beneglected? (Recall that the density of water is 0.001 kg/cm and g = 9.81m/s2.)O A. 7.5NB. 2.3 NO C. 11.6 NO D. 4.6 N The diameter, D, of a sphere is 8.4 mm. Calculate the sphere's volume, V.Use the value 3.14 for a, and round your answer to the nearest tenth 29. A gas has a volume of 1.75 L at -23C and 150.0 kPa.At what temperature would the gas occupy 1.30 L at210.0 kPa? A chest of drawers was originally priced at $100, but Sam waited to buy it until the chest of drawers was on sale for 80% off. If he paid 10% sales tax on the sale price, how much did he pay in total? (-3p^3+ 5p^2- 2p) +(-p^3- 8p^2 15p) = On the planet Arrakis, a male ornithoid sings at a frequency of 1180 Hz. When flying toward her mate at a speed of 30 m/s, a female ornithoid hears the sound at a frequency of 1250 Hz. What is the speed of sound in the atmosphere of Arrakis? What was the name of the newspaper that William Lloyd Garrison published in order to spread his anti-slavery ideas? Look at the following numbers:3, 1, 0, 3Which pair of numbers has a sum of 0? (5 points)Group of answer choices0, 13, 31, 31, 0 help fast will mark as brainlist Which formula should be used to find the circumference of a circle?C = pi dC = 2 pi dC = pi rC = StartFraction pi over d EndFraction