grandfath
3. My sister is 12 years older than lam Our combined age is half the age of our
grandfather. Our grandfather is 68 years old. How old am​

Answers

Answer 1

Answer:

11

Step-by-step explanation:

First, write an equation to represent the situation.

34 = 2a + 12

This equation works because your combined age is half of 68, so 34. If your age is a, then yours sister's age is a + 12. if you add your age to your sister's, you get 2a + 12.

Now just solve for a.

34 = 2a + 12

First, subtract 12 from both sides.

22 = 2a

Then divide both sides by 2.

11 = a

So you are 11 years old. If you need to check your work, your age (11) plus your sister's age (11 + 12, which is 23) is 34, which is half of your grandfather's age.


Related Questions

what is 4,000,000 + 800,00 + 10,000 + 2,000 + 400 + 80 + 9 in standard form?

please help asap​

Answers

Answer:

4,812,489

Step-by-step explanation:

Answer:

408,12,489

Step-by-step explanation:

hope it helped you

PLEASE HELP!!!!!
Whitney is buying a house next year. She applies for a $200,000 loan to be paid in 30 years. Her credit score is 575. Using the table, how much bigger will her monthly payment be than if her score were 850?

$99.00

$680.00

$160.00

$365.00

Answers

Answer:

Because here score is 575 she must pay 2365 per mo according to the table

If her score were 850 she would pay 1685 per month

So the difference in the two rates is:

2365 - 1685 = 680  a month more because of the low credit score

If f (x) = 8(5x-2) find f -1 (x).

Answers

Step-by-step explanation:

f(x)=8(5x-2)

interchanging the role of x&y

x=8(5y-2)

x=40y-16x+16=401yy=(x+16)/40

f-1(x)=(x+16)/10

stay safe healthy and happy.

The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be  [tex]f^{-1}(x)[/tex] =(x + 16)/40.

What is the inverse of a function?

A function's inverse can be thought of as a reverse of the function.

For instance, if y = f(x), then x = f will be the inverse (y).

It implies that we must swap x and y in the inverse function.

As per the given,

f(x)=8(5x-2)

Interchange the variable y and x as,

⇒ x = 8(5y - 2)

⇒ x+16=401y

⇒ y = (x+16)/40

Put y =  [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)[/tex] =(x + 16)/40

Hence "The value of [tex]f^{-1}(x)[/tex] for the given function f(x) = 8(5x - 2) will be  [tex]f^{-1}(x)[/tex] =(x + 16)/40".

For more information about the inverse of a function,

brainly.com/question/2541698

#SPJ2

I ordered some books online for myself and friends. ​Each book costs \$ 13$13 and the store charges a flat rate for shipping of \$ 20$20. ​ ​Write an expression for the cost of buying nn books.

Answers

Answer: 13n + 20

Step-by-step explanation:

The cost of each book is $13. That means that if you end up buying "n" books, cost would be:

= Cost of each book * number of books

= 13 * n

= 13n

You would also get charged a flat rate for shipping of $20 which would be added to the above cost to bring a total of:

= 13n + 20

I’m giving brainliest to correct answer

Answers

Answer: 4 3 2 1 anything less than 5

Step-by-step explanation:

Answer:

X has to be bigger than 2 and smaller than 12

Step-by-step explanation:

For a triangle to be possible no side can be bigger than the sum of the other two.

Since 5 + 7 = 12, x has to be smaller than 12.

Since x + 5 => 7, x has to be bigger than 2.

Both conditions written:

2>X>12

the second box has options in it that say “in the center”, “on the left”, and "on the right”

Answers

Answer:

skew right;

most of the data is on the left (the start)

Step-by-step explanation:

Observing the data distribution in the leaf plot given, we would see that most of the data are occuring at the start. This can be referred to as a positively skewed data. The tail of the distribution (the thin side) is to the right.

Therefore, the shape can be described as SKEW RIGHT.

If Frances can paint 15 of a wall in 20 minutes, how long will it take her to paint a room with 4 walls

Answers

Answer:

400 minutes

Step-by-step explanation:

20 *5 = 100

she needs 100 minutes to paint 1 wall

so for 4

100*4 =400 minutes

In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each event occurring. Drawing an odd number then drawing a 6? dependent events. PLEASE HELP ME

Answers

The figure depicting the board game is attached below.

Answer:

Step-by-step explanation:

Kindly note that selections done without replacement.

Count of numbers on the board game = 8

Count of odd numbers = (1, 9, 1) = 3

Count of digit 6 = 3

Probability = required outcome / Total possible outcomes

P(picking an odd number) = 3 / 8

Without replacement

Numbers left on board game = 8 - 1 = 7

P(picking a 6) = 3 / 7

Hence,

P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56

Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If the disc is equally likely to land anywhere on the board, what is the probability that she will succeed? Explain

Answers

Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

That would be the rectangle of the measure 50 cm by 40 cm

We have the area as the product of this two

That would be 50 * 40 = 2,000 cm^2

Now, the value calculated is the area of the entire possible landing area

Secondly, we need to get the area that counts as a success

that would be the area of the triangle that has a base of 50 cm and a height of 40 cm

The area of this is the product of the two divided by 2

we have this as ;

50 * 40 * 1/2 = 1,000 cm^2

So, her probability of success is simply the area of the triangle divided by the area of the rectangle

= 1000/2000 = 1/2

50 POINTS ASAPP
Which equation represents the line that is perpendicular to and passes through (-6,-9)?
A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4

Answers

Answer: B

x = -6

HOPE THIS HELP

21 11
5r1
Write the number
five million four thousand three hundred in standard form.

Answers

Answer:

5,004,300

Step-by-step explanation:

5004300
5.0043 x 10^6

Arjun earned $36 515 in 2019.
This was an increase of 9% on his earnings in 2018.
Work out his earnings in 2018.​

Answers

Answer:

33500

Step-by-step explanation:

Let x= his wage in 2018

we know that

1.09*x= 36515

Solve for x (by dividing both sides by 1.09)

get 33500

What would x=? Alternate Exterior & Interior Angles, 8th grade math! Help would be appreciated <3

Answers

Answer:

x = 4

Step-by-step explanation:

From the picture attached,

Two parallel lines with a transversal line intersecting these parallel lines at two distinct points.

Angles measuring 36° and (8x + 4)° are Alternate interior angles.

Therefore, measure of these angles will be equal.

(8x + 4)° = 36°

(8x + 4) - 4 = 36 - 4

8x = 32

x = 4

Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?
A.9.1 ft
B. 59.0 ft
C. 62.3 ft
D.65.7 ft

Answers

Answer:

Either c or d

Step-by-step explanation:

If the following data were transformed, and points with the coordinates
(x, log())) were plotted, what points would be plotted? Round log() to three
decimal places.
х
у
4.
81
5 243
6 729
O A. (81, 1.908), (243, 2.386), (729, 2.863)
O B. (4,1.908), (5,2.386)(6,2.863)
O c. (1.908, 4), (2.386,5), (2.863, 6)
O D. (1.908, 81), (2.386, 243), (2.863, 729)

Answers

Answer: B

Step-by-step explanation:

For the function g(x) = -4x + 6, what input value results in an output value of 6?
х
-6
-2
0
2
4
6
у
30
22
14
6
-2
-10
-18

A-18
B -6
C 0
D 30

Answers

Answer:

C. 0

I don't where all the values of x and y must be kept but ignoring those the ans is 0

60% of 30 can someone help

Answers

the answer to ur question is 18

The original price of a shirt is $20. The sales price is $16.30. What percent is the sales price of the original price for the shirt?

Answers

Answer:

81.5

Step-by-step explanation:

make a proportion

20/100 = 16.3/x

24 times 57 times 34 plus 50

Answers

Answer:

46,562 :) Brainliest pleaseeee

~Answer~

46,562

24*57*34=46,512

46,512+50=46,562

How do you do rise over run

Answers

Answer:

Rise over Run is another term for the slope

Step-by-step explanation:

to find the slope, (y2 - y1)/(x2 - x1)

Answer:

If you look at a graph, you see 2 lines forming a "plus" shape. The horizontal line is called the x-axis, and the verticle line is called the y-axis. Rise over run is how much the y changes when the x changes. So if the graph increases its y value by 2 each time the x increases by 1, then rise over run is 2.

help me with my math plz

Answers

Answer:

the answer is "D: More students prefer model A1 calculators than model C3 calculators"

Step-by-step explanation:

There are 10 ice cream sandwiches, 5 drumsticks, and 6 vanilla ice cream cups in the freezer. You randomly select one and give it to your sister, then randomly select one for yourself. What is the probability of NOT selecting a drumstick and a vanilla ice cream cup? *

Answers

Answer:

The probability of not selecting a drumstick and a vanilla ice cream cup is 92.86%.

Step-by-step explanation:

Since there are 10 ice cream sandwiches, 5 drumsticks, and 6 vanilla ice cream cups in the freezer, and I randomly select one and give it to my sister, and then randomly select one for me, to determine what is the probability of not Selecting a drumstick and a vanilla ice cream cup, the following calculation should be performed:

5/21 x 6/20 = X

0.2380 x 0.3 = X

0.0714 = X

1- 0.0714 = X

0.9286 = X

0.9286 x 100 = 92.86

Therefore, the probability of not selecting a drumstick and a vanilla ice cream cup is 92.86%.

At a school, 1 out of every 3 girls who tried out for basketball made the
team. Which ratio represents the number of girls who made the team to
the number of girls who did not make the team?

Answers

Answer:

1:2

Step-by-step explanation:

because only one gets into the team

and the remaining two don't make the team

need help with this asap

Answers

Answer: the first one is exponential and the second one is function

Lucy Lou went shopping a Hollister with her friends. Together they spent a mean price of $40 on 8

sweaters. The first 7 sweaters cost $50, $55, $30, $35, $39, $40 and $42. How much, in dollars,

does the 8th sweater cost?

1

3

+

х

+

ON

4

6

<

V

7

8

9

dio



0

orodan 85 03

Answers

The coat is it worth four dollars

Answer:

$29

Step-by-step explanation:

Together they spent a mean price of $40 on 8 sweaters. The first 7 sweaters cost $50, $55, $30, $35, $39, $40 and $42. How much, in dollars, does the 8th sweater cost?

If the mean price is $40, 8 x 40 = the total price, = 320

Add up what we knew they spent:

50 + 55 + 30 + 35 + 39 + 40 + 42 = 291

The difference between those 2 numbers is the price of the 8th sweater

320 - 291 = 29

What is equivalent to square root of 2 over 2? Select all that apply

Answers

Answer:

The answer is 2.

Step-by-step explanation:

2. 5x + 7x + 3x = 60
What’s the value of x?

Answers

Answer:

Step-by-step explanation:

Simplifying

7x = -3x + -60

Reorder the terms:

7x = -60 + -3x

Solving

7x = -60 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

7x + 3x = -60 + -3x + 3x

Combine like terms: 7x + 3x = 10x

10x = -60 + -3x + 3x

Combine like terms: -3x + 3x = 0

10x = -60 + 0

10x = -60

Divide each side by '10'.

x = -6

Simplifying

x = -6

Answer:

4

Step-by-step explanation:

5 times 4 (20) + 7 times 4 (28) + 3 times 4 (12) = 60

Why would the polynomial, "[tex]x^2+5x-24[/tex]" factor out to (x-3)(x+8)?

Answers

Step-by-step explanation:

5x can also be written as " -3x + 8x " so:

[tex]x^2+5x-24 = x^2-3x+8x-24[/tex]

Using the distributive property:

[tex]x(x-3)+8(x-3)[/tex]

Then again, using the distributive property (but in reverse):

[tex](x-3)(x+8)[/tex]

The two numbers that the middle term should be split into in order to factor can be found by listing out pairs of factors for the product of the last term and the coefficient of the first term, and using the two factors whose sum is the middle term.

For eg (because that was a bit text heavy):

The product of the last term and the first coefficient (1 * (-24)) is -24

the factors of -24 include (and their sum)

-1, 24 (23)

1, -24 (-23)

-2, 12 (10)

2, -12 (-10)

-3, 8 (5)

3, -8 (-5)

-4, 6 (2)

4, -6 (-2)

The middle coefficient is 5 and the sum of the factors -3 and 8 are 5, so split 5x into -3x + 8x to be able to factor how I showed before.

Evaluate cos 17x/6

ill give brainlist

Answers

The value of cos(17π/6) = cos(5π/6) = -√3/2.

Hence, cos(17π/6) evaluates to -√3/2.

To evaluate cos(17π/6), we can use the unit circle and the properties of cosine.

First, let's determine the reference angle.

The reference angle is the acute angle formed between the terminal side of the given angle and the x-axis.

The angle 17π/6 is greater than 2π, which means it completes more than one full revolution around the unit circle.

To find the reference angle, we can subtract 2π (or 12π/6) from 17π/6:

17π/6 - 12π/6 = 5π/6

Now, we can evaluate the cosine of the reference angle (5π/6).

In the unit circle, the reference angle 5π/6 corresponds to the point (cos(5π/6), sin(5π/6)).

The cosine value is represented by the x-coordinate of this point.

For the reference angle 5π/6, the x-coordinate is -√3/2.

Therefore, cos(17π/6) = cos(5π/6) = -√3/2.

Hence, cos(17π/6) evaluates to -√3/2.

For similar question on trigonometric functions.

https://brainly.com/question/6904750

#SPJ11

Question: How do you evaluate

cos

(17π/6)

This is so hard help

Answers

Answer:

42

Step-by-step explanation:

Answer:

Ik it

Step-by-step explanation:

Other Questions
help!!!! is it true or false? The Cranberry ConnectionWhat is this book? Anna mumbled to herself as she helped her mom look through old boxes. They had belonged to her grandparents who died when Anna was a baby.I think I found Grandmas diary, she told her mother.Her mother quickly came closer and said, What a find! I cant wait to read it. I miss her. Then seeing Annas frown, Mom added, But you found Grandmas diary, so you can read it first.Nodding happily, Anna read the date on the first entry, August 13, 1953. How old was Grandma in 1953? she asked.Her mom thought for a minute. She must have been about nine, the same age as you are right now.Anna had seen photos of her grandparents, but they looked so old that it was hard to imagine that her grandma was ever nine.Anna read the first entry:The county fair is only two weeks away and today Im going to practice making Mothers cranberry bread. Last time, the dough was so thick that I couldnt even knead it! I get mad at myself when my baking turns out wrong, but Mother keeps telling me to have more patience. Ill use less flour today and hope for the best.A young girl kneels next to her trunk and a few boxes to write in her diary. Then Anna realized that her mother made cranberry bread, too, and the recipe for that bread must have been passed down through the generations. Anna suddenly wanted to learn how to make it, and quickly asked, Mom, could you help me make cranberry bread today?She could tell by the long pause that her mom was a little surprised by her request. I guess we could make some, she replied, but youll have to do the kneading because my shoulder is sore from all this work.Ill do it all, Anna told her. Just make sure Im doing it exactly the way you do it.Her mom pointed out, Anna, you dont have a lot of . . .Patience! Anna interrupted. Im just like Grandma! But I want to learn how to make that bread just like you do itand like your mother did it, and her mother did it, and . . .Laughing, her mom held up her hand. I get it, but Im wondering why youre suddenly so interested in that bread. Maybe Id better read the diary before we start!Anna smiled and handed the dusty diary to her mom. I dont want to break the cranberry connection, she said. I have to be ready to teach my own kids how to make that bread!Match each word from the passage with the definition for a homophone for it. Drag the definitions into the boxes.people who see a doctorto fly without flapping wingsto require somethingkneadpatiencesore Sin=Help help help pls I need help with this one too!!! What was the most awful part of what you read in the jungles? Upton sinclair Janelle sells necklaces and bracelets online. She sells each necklace for $16 and each bracelet for $12. What expression represents the total amount of money Janelle made last month from selling a necklaces and braceletsPls help The overall change desired by Atatrk is similar to the change enacted in? THERE IS TWO QUESTIONS IN ONE JUST LOOK CLOSELY UwUwUwUwU Please help! This is urgent what is the answer Instructions to the teacher:You can give partial credit for partial solutions. The total is 36 points, so divide the student's score by 36 andmultiply by 100 to get a percent score. For example, if the student scores 30, divide 30 = 36 to get 0.8333. Thepercent score is 83%.Question Max. points Student score12 points2 1 point34 pointsQuestion Max. points Student score8 1 point9 3 points103 points11 4 points123 points133 pointsTOTAL 36 points3644 points52 points62 points4 points7 A: 5. 2B: 8. 4C: 4. 7D: 7. 8 A salesperson at a furniture store earns a 3% commission on all sales. How much commission does the salesperson earn on a $1400 sale? A) $21 B) $42 C) $420 D) $1,420 How to write an essay on Mon village Consider the following code.public void printNumbers(int x, int y) { if (x < 5) { System.out.println("x: " + x); } if (y > 5) { System.out.println("y: " + y); } int a = (int)(Math.random() * 10); int b = (int)(Math.random() * 10); if (x != y) printNumbers(a, b);}Which of the following conditions will cause recursion to stop with certainty? A. x < 5 B. x < 5 or y > 5 C. x != y D. x == yConsider the following code.public static int recur3(int n) { if (n == 0) return 0; if (n == 1) return 1; if (n == 2) return 2; return recur3(n - 1) + recur3(n - 2) + recur3(n - 3);}What value would be returned if this method were called and passed a value of 5? A. 3 B. 9 C. 11 D. 16Which of the following methods correctly calculates the value of a number x raised to the power of n using recursion? A. public static int pow(int x, int n) { if (x == 0) return 1; return x * pow(x, n);} B. public static int pow(int x, int n) { if (x == 0) return 1; return x * pow(x, n - 1);} C. public static int pow(int x, int n) { if (n == 0) return 1; return x * pow(x, n);} D. public static int pow(int x, int n) { if (n == 0) return 1; return x * pow(x, n - 1);}Which of the following methods correctly calculates and returns the sum of all the digits in an integer using recursion? A. public int addDigits(int a) { if (a == 0) return 0; return a % 10 + addDigits(a / 10);} B. public int addDigits(int a) { if (a == 0) return 0; return a / 10 + addDigits(a % 10);} C. public int addDigits(int a) { return a % 10 + addDigits(a / 10);} D. public int addDigits(int a) { return a / 10 + addDigits(a % 10);}The intent of the following method is to find and return the index of the first x character in a string. If this character is not found, -1 is returned.public int findX(String s) { return findX(s, 0);}Which of the following methods would make the best recursive helper method for this task? A. private int findX(String s) { if (index >= s.length()) return -1; else if (s.charAt(index) == 'x') return index; else return findX(s);} B. private int findX(String s, int index) { if (index >= s.length()) return -1; else return s.charAt(index);} C. private int findX(String s, int index) { if (index >= s.length()) return -1; else if (s.charAt(index) == 'x') return index; else return findX(s, index);} D. private int findX(String s, int index) { if (index >= s.length()) return -1; else if (s.charAt(index) == 'x') return index; else return findX(s, index + 1);} Please please help me please please help namamayani Pangungusap please help both 12 and 13 Solve for X.Enter the solutions from least to greatest.Round to two decimal places.(x + 7)^2 11 = 0lesser x =greater x = La magnetica es un iman artificial? Read the excerpt from President Reagans 1981 Inaugural Address."It is time to reawaken this industrial giant, to get government back within its means, and to lighten our punitive tax burden."Which important idea of the conservative movement is evident in the excerpt?lower income taxessmaller armed forcesstronger national governmentincreased government regulation