Nine years ago, Katie was twice as old as Elena was then.

Elena realizes, "In four years, I'll be as old as Katie is now!"

Elena writes these equations to help her make sense of the situation:

[tex]k-9=2(e-9)\\e+4=k[/tex]


If Elena is currently years old and Katie is years old, how old is Katie now?

Answers

Answer 1

Answer:

Given that Elena is currently e years  old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.

So, k - 9 = 2(e - 9)

⇒ k - 2e + 9 = 0 .............. (1)

And, in four years, Elena will be as old as Katie is now.

So, k = e + 4

⇒ k - e - 4 = 0 ............... (2)

Therefore, the equations (1) and (2) matches the conditions. (Answer)


Related Questions

Rectangles
H
J
K
L
and
H

J

K

L

are shown on the coordinate plane.



Which statement describes a sequence of transformations that can be used to verify that rectangle
H
J
K
L
is similar to rectangle
H

J

K

L

?


Dilate rectangle
H
J
K
L
by a scale factor of
2
about the origin, then translate it
12
units down.

Dilate rectangle H J K L by a scale factor of 2 about the origin, then translate it 12 units down.

Dilate rectangle
H
J
K
L
by a scale factor of
2
about the origin, then reflect it across the
x
-axis.

Dilate rectangle H J K L by a scale factor of 2 about the origin, then reflect it across the x -axis.

Dilate rectangle
H
J
K
L
by a scale factor of
1
2
about the origin, then translate it
12
units down.

Dilate rectangle H J K L by a scale factor of 1 2 about the origin, then translate it 12 units down.

Dilate rectangle
H
J
K
L
by a scale factor of
1
2
about the origin, then reflect it across the
x
-axis.

Answers

Answer: rectangles are congruent if both of them have the opposite sides are equal

Step-by-step explanation: rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.

Answer: rectangles are congruent if both of them have the opposite sides are equal

Step-by-step explanation: rectangles are congruent if both of them have the opposite sides are equal. Two squares are congruent if both of them have the same edges.

Please answer this question!

Answers

Answer:

41

Step-by-step explanation:

if they are supplementary they equal 180, so all you have to do is subtract 180-139=41

An architect draws a blueprint of the newly modeled kitchen. The scale used is 1 inch = 4 feet. If the length of the kitchen is 6 inches, and the width of the kitchen is 3 inches, what are the actual dimensions of the kitchen?

A. 4 feet by 6 feet
B. 6 feet by 3 feet
C. 20 feet by 18 feet
D. 24 feet by 12 feet

Answers

Answer:
D.24ft by 12ft
Step-by-step explanation:

A standard number cube, numbered 1 through 6 on each side, is rolled 3 times. What is the probability of rolling a 2 on all three rolls? Express your answer as a fraction.

Answers

Answer:

2/6 percent chance

Step-by-step explanation:

Because rolling the dice 3 times will give you the fraction 2/6.


Order these numbers from least to greatest. 6.86, 6.8, 6.806, 4.1751​

Answers

Answer:

4.1751    6.8     6.806     6.86

Step-by-step explanation:

Here is your answer…

Answer the question in the screenshot

Answers

Answer:

a. 25

b. 2

c. 2.21

Step-by-step explanation:

Answer:

Figure 1. 25 Hours

Figure 2. 2 Hours

Figure 3. 2.21 Hours

Step-by-step explanation:

draw a model of 1/ 2 divided 1 /4 brainliest on the line

Answers

Draw 1/2 shape and just put the divide sign and the draw 1/4.
I’m not sure if this is quite what u meant or needed but here ya go!

ONLY answer if you know what the answer is. If you are not sure DONT FREAKING ANSWER.

Answers

Answer:

The NON integer is=  1/4

Step-by-step explanation:

An integer can be both postive and negative, but they cannot be fractions becasue they are not a whole number, though whole numbers are positive integers do not apply to the POSTIVE only rule that whole numbers do!

If this was helpful please give brainiest

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

That's right, if that's what you're asking... Or I'm wrong, but good luck!

Step-by-step explanation:

60-69 is incorrect. It should be filled up the the 4th line

please help me quickly

Answers

Answer:

it is 175

Step-by-step explanation:

add up all the students

Answer:

175 students

Step-by-step explanation:

In a scale drawing, the length of a rectangular room is 6 inches, and the width is 3 inches. the actual length of the room is 18 feet.
A What is the scale of the drawing.
B In a new scale drawing of the same room, the length of the room measures 4 inches. What is the scale of the new drawing? Explain

Answers

Answer:

A. 1 : 36

B. 1 : 54

Step-by-step explanation:

1 feet = 12 inches

A.

rasio = scaled length : actual length

        = 6 inches : 18 feet

        = 6 inches : (12 × 18) inches

        = 6 : 216 ⇒ omit the units when both units are the same

        = 1 : 36

B.

rasio = scaled length : actual length

        = 4 inches : 18 feet

        = 4 inches : (12 × 18) inches

        = 4 : 216 ⇒ omit the units when both units are the same

        = 1 : 54

What is the perimeter of the figure below?

40 mm
34 mm
88 mm
96 mm

Answers

Answer:

34 mm

Step-by-step explanation:

8+8+6+12=34 mm

Add all of them, the answer is 34 mm :)

Please answer the question! (´・ω・`)

Answers

supplementary angles are when two angles sum up to 180 degrees.

∠x and ∠y are supplementary angles

===============

∠x + ∠y = 180°∠x + 116° = 180°∠x = 180° -  116°∠x = 64°

Answer:

64°

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°.

∠x + ∠y = 180° <== substitute 116° for ∠y

∠x + 116° = 180° <== subtract 116 from both sides

     - 116    - 116

∠x = 64° <== measure of ∠x

Therefore, the measure of ∠x is 64°

Hope this helps!

What is the volume of this right prism?

720 in³

780 in³

1440 in³

1560 in³

Answers

Answer:

720in.^3

Step-by-step explanation:

Find the area of the base (60in^2) and multiply it by the length of the prism (12) to get 720in.^3

Answer: 720 in³

Step-by-step explanation:  that one person was right

HELP MEE look at the picture attached

Answers

The answer is C because 15 divided by 3 equals 5
The answer is C because 15/3=5 and 30/6=5 also. Meaning your rate of change is 5. Making your final equation y=5x

Please help me quick this is a 20 point grade!!!

What is 1 + 1?

A) Pi.

B) 3.14

C) 2

D) 9/8

Answers

Answer:

2 is the answer

Step-by-step explanation:

there is mo step by step explanation

Answer: c) 2

Step-by-step explanation: i dont know if you are being serious or not haha but have a good day<3 -marina mae

pls help
Sherwin has twice as many stamps as his friends Allan and Gene combined. Allen has 55 stamps in his collection. Sherwin has 200 stamps in his collection.How many stamps does Gene have in his collection?

The equation 2 (x + 55) = 200 models this situation. which choice shows the sequence of operations needed to solve this problem, using both arithmetic and alegbra?

Answers

Answer:

1: Gene has 45

2: C

Step-by-step explanation:

C gets you to 45.

I don't have to explain #1 because #2 explains the equation.

Angles Sand T are vertical angles. If angle S has a measure of (x−2)∘, and angle T has a measure of 40∘, what is the value of x?

Answers

Answer:

if one of the angles measures 70 then the opposite angle will also measure 70 while the neighboring angles will measure 180 - 70

Step-by-step explanation:

hope this help if not please let me now

By definition of vertically opposite angle, the value of x is,

⇒ x = 42

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Angles S and T are vertical angles.

And, The angle S has a measure of (x - 2)°, and angle T has a measure of 40°.

Now, We know that;

Vertically opposite angles are equal to each other.

Hence, We get;

⇒ ∠ S = ∠ T

⇒ (x - 2)° = 40°

⇒ x - 2 = 40

⇒ x = 40 + 2

⇒ x = 42

Thus, By definition of vertically opposite angle, the value of x is,

⇒ x = 42

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ3

4:00 am to 8:00 is how many hours

Answers

Answer:

10 hours

Step-by-step explanation:

assuming its 8pm if its 8 am 4 hours

4am to 8 am or pm…


4:00 am - 8:00 pm = 16 hours
4:00 am - 8:00 am = 4 hours

Which answer choice is a solution to the inequality "-13<4x+7"

A. 17
B.-5
C.-24
D. -21

Answers

Step-by-step explanation:

-13-7<-4x

-20<-4x

-4. -4

x=5

answer= B = -5

Answer:

B. -5

Step-by-step explanation:

-13 < 4x + 7

- 7          - 7

-20 < 4x

/4      /4

-5 < x

Also written as x > -5

Hope this helps!

Brainliest! Please help! :O

Answers

Answer:

Subtraction

Step-by-step explanation:

429 = N + 30

-30          -30

399 = N

I hope this helps!

Answer:

Subtract

Step-by-step explanation:

[tex]429=N+30[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]N+30=429[/tex]

[tex]\mathrm{Subtract\:}30\mathrm{\:from\:both\:sides}[/tex]

[tex]N+30-30=429-30[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]N=399[/tex]

~lenvy~

Jorge bought 8 pounds of ground beef for $3.29 a pound. About how much did he pay altogether?

Answers

Answer:$24

Step-by-step explanation:

Answer:

$26.32

Step-by-step explanation:

If one pound costs 3.29, you have to multiply by the number of pounds (8)

8·3.29=26.32 or 3.29+3.29+3.29+3.29+3.29+3.29+3.29+3.29=26.32

What is the volume of this figure?

216 in³

240 in³

288 in³

312 in³
( I already know the answer its, A.) 216 in3

Answers

Answer:216

Step-by-step explanation:

Answer:

216 in³ for K12

Adele decorates pet food bowls and donates them to the animal shelter. Last month, she painted 5 bowls green for every 2 bowls she painted blue. If Adele painted 9 more bowls green than blue last month, how many bowls did she paint green?

Answers

Answer:

e

Step-by-step explanation:

Adele paints 5 bowls green for every 2 blue bowls. She painted 9 bowls this month, which would be about 3? blue bowls.

sowwy if this answer is wrong

i think it is right though bc it cant be a fraction of a bowl

Answer:

15

Step-by-step explanation:

i virified it

Zoe considers the lunch choices as she looks at the menu. What is the probability that she will choose cheese pizza, apple, milk?

Meal: Cheese Pizza, Cheeseburger, Hotdog, Salad

Side: Banana, Apple, Yogurt

Beverage: Milk, Water, Juice

Answers

Answer:

1/36

Step-by-step explanation:

Meal: 4 choices

Side: 3 choices

Beverage: 3 choices

Total number of possible combinations: 4 × 3 × 3 = 36

The specific combination of cheese pizza, apple, and milk is 1 of the 36 possible choices.

p(cheese pizza, apple, milk) = 1/36

Answer:

e

Step-by-step explanation:

We first have to find out how many outcomes there are in total. That means finding out how many meals, sides, and beverages there are.

Meals: cheese pizza, cheeseburger, hotdog, and salad (4)

Sides: banana, apple, and yogurt (3)

Beverages: milk, water, and juice (3)

4 x 3 x 3 = 36

There are 36 possible outcomes.

We need to find the probability that Zoe will choose cheese pizza, an apple, and milk. Those are three outcomes.

The probability is 3/36.

The fraction 3/36 can be simplified to 1/12.

uh looking at the other answer that one is probs right

either way, hope this helps?

Elijah buys a baseball jersey that costs $56.00. His bank account balance is now -$6.50. Which math sentence below describes how much Elijah owes?
A) > $7.00
B) > $6.00
C) > -$6.00
D) > -$7.00

Answers

Answer:

He owes $6.50.

Step-by-step explanation:

You didn't give that answer in the multiple choice answers, but yet there are four options and only two of them are different.

25 points! Will give brainliest to the most informative but simple answer
Solve [tex]\frac{-72}{x} = 9[/tex] using the distributive property.

Answers

x = -8

Step by Step:

1) -72/x = 9 first, you multiply both sides by x and get -72= 9 * x

2) -72= 9 * x second, you divide both sides by 9 to isolate x by itself -72/9 = 9 * x/ 9 (the 9 cancels on the right side of the equation leaving x by itself)

Leaving you answer to be x = -8

Answer:

The answer is

→ [tex]x=-8[/tex]

Step-by-step explanation:

Given: [tex]\frac{-72}{x} = 9[/tex]

Solve:

[tex]\frac{-72}{x} = 9[/tex]

Step 1: Multiply all terms by the same value to eliminate fraction denominators.

[tex]\frac{-72}{x} = 9[/tex]

⇒ [tex]x * \frac{-72}{x} = x * 9[/tex]

Step 2: Cancel multiplied terms that are in the denominator.

[tex]x * \frac{-72}{x} = x * 9[/tex]

⇒ [tex]-72 = x * 9[/tex]

Step 3: Re-order terms so constants are on the left.

[tex]-72 = x * 9[/tex]

⇒ [tex]-72 = 9x[/tex]

Step 4: Divide both sides by the same factor.

[tex]-72 = 9x[/tex]

⇒ [tex]\frac{-72}{9} = \frac{9x}{9}[/tex]

Step 5: Simplify.

Divide the numbers.

[tex]\frac{-72}{9} = \frac{9x}{9}[/tex]

⇒ [tex]-8 = \frac{9x}{9}[/tex]

Cancel terms that are in both the numerator and denominator.

[tex]-8 = \frac{9x}{9}[/tex]

⇒ [tex]-8 = x[/tex]

Move the variable to the left.

[tex]-8x = x[/tex]

⇒ [tex]x = -8[/tex]

Hence, [tex]x = -8[/tex] is your answer.

- ✨7272033Alt✨

The set of data below, determine the 5 number summary in the box and then construct a box and whisker plot to represent the data set in the sketchpad. Then answer the questions below the input box below.



5, 3, 8, 6, 1, 3, 9, 7, 4

Answers

Answer: it’s 5,

Step-by-step explanation:

The set of data below, determine the 5 number summary in the box and then construct a box and whisker plot to represent the data set in the sketchpad. Then answer the questions below the input box below.5, 3, 8, 6, 1, 3, 9, 7, 4

the answer of the question is 5!

4. Find Each Angle Measure

Answers

Answer:

Step-by-step explanation:

Please help!!!! with 26. a, and b

Answers

Answer:

A is 1 in 100 and b is 1 in 25

Step-by-step explanation:

there are 10 digits (1, 2, 3, 4, 5 ,6 ,7 ,8 ,9, 0).

that gives you a 1 in 10 chance but there are 2 and to get both of them, you do 1 in 10 x 1 in 10 which is 1 in 100. if you know that they are both even, this limits it to a 1 in 5 twice, 1 in 5 x 1 in 5 is 1 in 25.

Letter A) 1/100 and Letter B) 1/25
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