Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 42. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answers

Answer 1

Answer:

a: K = 2s

K + s = 42

b: 2s + s = 42

K = 28

s = 14

Step-by-step explanation:

1. Come up with equations based on the information given.

K = Kim

s = sister

Kim is twice of her sister -> K = 2s

When you add Kim's age to her sister's age, you get 42 -> K + s = 42

2. Substitue for K to find out the value of s

K = 2s

2s + s = 42

3. Solve for s

s = 42/3

s= 14

4. Solve for K

K = 2s

K = 2*14

K = 28


Related Questions

5.6+ 2.2x> 65.6- 1.8x show you work

Answers

Answer:

No

Step-by-step explanation:

cuz i dont feel like it thx for pts

The solution to the inequality 5.6 + 2.2x > 65.6 - 1.8x is x > 15.

What is the solution to the inequality?

Given the inequality in the question:

5.6 + 2.2x > 65.6 - 1.8x

To solve the inequality 5.6 + 2.2x > 65.6 - 1.8, first, collect and combine the like terms on both sides of the inequality:

5.6 + 2.2x > 65.6 - 1.8x

Add 1.8x to both sides:

5.6 + 2.2x + 1.8x > 65.6 - 1.8x + 1.8x

5.6 + 2.2x + 1.8x > 65.6

5.6 + 4x > 65.6

Subtract 5.6 from both sides of the inequality:

5.6 - 5.6 + 4x > 65.6 - 5.6

4x > 60

Divide both sides by 4 to isolate the variable x:

x > 60/4

x > 15

Therefore, x is greater than 15.

Learn more about inequality here: https://brainly.com/question/20383699

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Select True or False for each statement about equilateral triangles.

A. An equilateral triangle has 3 equal angle measures.
A True B False
B. An equilateral triangle has 3 equal side measures.
A True B False
C. An equilateral triangle has 3 lines of symmetry.
A True B False

Answers

Answer:

A. true

B True

C True

hope this helps

how do you find the circumference of a circle if the diameter is 4

Answers

Answer: if your looking for an answer it’s c= 12.57

Step-by-step explanation:

What is 941 divided by 24

Answers

39.20 or 39.21 if you round
Your answer will be 43 remainder 11

Find the distance between
4 + 3i
and
6 – 2i

Answers

Answer:

The distance is 5i

Step-by-step explanation:

Subtract the six and the four then find the distance between the numbers paired with the variables.

find the measure of the missing angle
a=

Answers

I agree with the person above because that is a 90 degree angle so we have 50 degrees what we have to do next is to subtract 50 from 90 which will give you your answer 40

Kyle Charges $75 plus $65 per hour for tractor work. How many hours does he work to earn at least $335?

Answers

Answer:

Hi there!

Your answer is

Kyle must work at LEAST 4 hours to earn 335$

Step-by-step explanation:

kyles charge:

75+65H>=335

-75

65H>=260

/65

H>=4

Plug back in!

75+65(4) >= 335?

335>=335 YES!

Hope this helps

What is the value of the slope of a line that passes through points (2,5) and (4,2)

Answers

Answer:

-3/2

Step-by-step explanation:

Using the slope formula leaves you with this

Answer:

-3/2

Step-by-step explanation:

We can find the slope of the line using

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

   = ( 2-5)/(4-2)

  = -3/2

Negative numbers are _______________ less than positive numbers.

Always
Sometimes
Never

Answers

Answer:

sometimes

Step-by-step explanation:

Answer:

always

Step-by-step explanation:

Can you please tell me the answer

Answers

Answer:D 45

Step-by-step explanation:I haven't done this in a long time but from my knowledge it is 45 because the triangle has to add up to 180 and you do 45+45 which will get you 90 leaving you with 2x and x would 45 as well and you would do 2 x 45= 90 and that is how you solve 2x.

But the answer to the question is 45 or D

two thirds x one fourth .

Answers

Answer:

One sixth (1/6)

Step-by-step explanation:

In solving an equation, if you eliminate the variable and obtain a true statement such as 6 = 6, the equation is a/an
equation.

Answers

Answer:

butt

Step-by-step explanation:

hahahaha hahahaha

Help me please ..........

Answers

Answer:

The answer is that angle T is 41 degrees.

Step-by-step explanation:

Line USP is a 180 angle. Knowing this, you can subtract 104 from 180.

You get 76. Then, you add 76 to 63.

The sum is 139. Then, to find the answer, you subtract 139 from 180. You know to use 180 because EVERY TRIANGLE'S ANGLES always add up to 180.

180 minus 139 is 41. This is your answer: Angle T is 41 degrees in measure.

The answer for angle T is 41 degrees


Sally, Sue and Joe were measured in gym class. Sally was 65 3/4 inches. Sue was 65 7/8 inches. Joe was 65 1/2 inches. Who was the tallest?

Answers

Answer:

Sue was the tallest.

Step-by-step explanation:

Sally = 65 3/4 --> 65 6/8

Sue = 65 7/8

Joe = 65 1/2 --> 65 4/8

- 4u + 7 = - 10u + 37
Solve for u

Answers

Answer:

5

Step-by-step explanation:

Question 10 multiple choice

Answers

Answer: Choice B

(x-1)(x^3+x^2+5x+6)

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

Explanation:

The 1 in the upper left box means that x = 1 is a root of the original polynomial.

So this means x-1 is a factor of the original polynomial.

This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.

-----------------

The 0 in the last position of the bottom row shows we got a remainder of 0.

Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.

The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6

-------------------

So we know that (x-1) and (x^3+x^2+5x+6) are factors

Meaning that,

x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)

You can confirm this by expanding out the right hand side (distribution rule).

One circle labeled right 28 overlaps another circle labeled female 7. The overlap is labeled 24. A 4-column table with 3 rows. The first column has no label with entries female, male, total. The second column is labeled right with entries 24, c, 52. The third column is labeled right with entries a, 6, d. The fourth column is labeled total with entries b, 34, d. A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram. Determine the value for each variable in the two-way table. a = b = c = d = e =

Answers

Answer:

a=7

b=31

c=28

d=13

e=65

Step-by-step explanation:

this is the right answer.

Answer:

a=7

b=31

c=28

d=13

e=65

Step-by-step explanation:

What is the value of F in this equation

F^2=9/49

Answers

Answer:

[tex] \sqrt{f {}^{2} } = \sqrt{ \frac{9}{49} } [/tex]

[tex]f = \frac{ \sqrt{9} }{ \sqrt{49} } [/tex]

[tex]f = \frac{3}{7} [/tex] or -3/7

Answer:

[tex]f=-\frac{3}{7},\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]f^2=\frac{9}{49}[/tex]

Square root both sides of the equation:

[tex]\sqrt{f^2} =\sqrt{\frac{9}{49} }[/tex]

The square root of [tex]f^2[/tex] is [tex]f[/tex], so let's rewrite the equation:

[tex]f=\sqrt{\frac{9}{49} }[/tex]

Now, we can make this easier on ourselves by noticing that both the numerator and denominator of the fraction are square numbers, so rewrite the equation:

[tex]f=\frac{\sqrt{9} }{\sqrt{49}}[/tex]

Find the square root of 9 (-3 & 3), and the square root of 49 (-7 & 7). Due to the possibility of the positive or negative solution, there will be two:

[tex]f=-\frac{3}{7} ,\frac{3}{7}[/tex]

Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. Then complete a reasonable domain for this situation.

function notation in slope-intercept form: f(x) = ________
reasonable domain: ≤ x ≤

Answers

Answer:  The function that models the distance they drive is

f(x) = 50x + 20 where x is the time in hours

reasonable domain:  0 ≤ x ≤ 3

Step-by-step explanation:

examples:

95 = 50(1.5) + 20 After driving another hour and a half, they will have driven a total of 95 miles.

120 = 50(2) + 20  This means that after 2 more hours they will reach their destination.

There is a little ambiguity in the question. The function could be written as if they are starting out.  f(x) = 50t  

20 = 50(.4)  At 50 mph it took .4 hours to go 20 miles.

120 = 5(2.4)  The whole trip took 2.4 hours.

Which list correctly orders A, B, and C from least to greatest when A= -8, B = 1-8), and C = 111?
A, B, C
C,AB
B, A, C
CBA

Answers

Answer:

A, B, C

Hope this helps

can you guy help me with

Answers

Answer:

no

Step-by-step explanation:

Stacy and Neil painted 280 square feet of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gallons of paint?

Answers

Answer:

280 square feet can be painted with .8 gallons and (280 / .8) or 350 square feet can be painted with 1 gallon and with 3 gallons you could paint 1,050 square feet.

 

Step-by-step explanation:

please help ! asapppppppp

Answers

Answer:

4/243, 4/729

Step-by-step explanation:

 The pattern shows that it is multiplied by 1/3

Tony and Ralph both work for a construction company. Tony gets paid $30 plus 8 per hour (h). How much will the company have to pay if they both work 5 hours that day

Answers

Answer:

ur quedo is kind of confusing

A map scale reads: 2 inches = 25 miles. Which distance does 6 inches represent? 200 miles 75 miles 150 miles 100 miles Bene​

Answers

Answer:

75 miles

Step-by-step explanation:

2x3=6

so you multiply 25x3 which will give you 75

What are the x and y intercepts for 3x-6y=-48

Answers

Answer:

x- intercept = - 16, y- intercept = 8

Step-by-step explanation:

Given

3x - 6y = - 48

To find the x- intercept, let y = 0 in the equation and solve for x

3x - 6(0) = - 48 , that is

3x - 0 = - 48 ( divide both sides by 3 )

x = - 16 ← x- intercept or (- 16, 0 )

To find the y- intercept, let x = 0 in the equation and solve for y

3(0) - 6y = - 48 , that is

0 - 6y = - 48 ( divide both sides by - 6 )

y = 8 ← y- intercept or (0, 8 )

BROO PLZZ TRY TO ANSWER FAST

Answers

Answer:

1/9(x+4)

Step-by-step explanation:

Same as the first one

1/9(x+4)


hope this helps

I need Urgent Help!! Can you please show me how you solve this step by step? 4-7x>-5(4+x)

Answers

Answer:

The answer of this inequality is: x < 12

Step-by-step explanation:

1) First, place out what is given:

[tex]4 - 7x>-5(4+x)[/tex]

2) Distribute -5 to (4 + x)

[tex]4 - 7x > -20-5x[/tex]

3) We want to get x by itself, so we need to move each term to their own side(s):

4 - 7x > - 20 - 5x

+20 + 7x > +20 +7x

---------------------------

24 > 2x

5) Divide both sides by 2

[tex]\frac{24}{2} > \frac{2x}{2}[/tex]

6) Now that you have x alone, your answer is:

[tex]x < 12[/tex]

(I changed the position of x which is why the sign turned around)

Write an equation for the parabola that passes through (-2, 7) , (1, 10) , and (2, 27) .

Answers

Answer:y=4x^2+5x+1

Step-by-step explanation:

Just did the quiz on big ideas math

The equation of the parabola which passes through the points  (-2, 7) , (1, 10) , and (2, 27) is  y = (25/6)x² -(17/6)b + (1/3)c.

What is a parabola?

A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

We know equation of a parabola is y = ax² + bx + c.

Given are three points  (-2, 7) , (1, 10) , and (2, 27).

If these points lie on the parabola it must verify that [tex]y_o = ax^2_o + bx_o + c.[/tex]

Therefore,

7 = a(-2)² + b(-2) + c = 0

7 = 4a - 2b + c ...(i)

10 = a(1)² + b(1) + c = 0

10 = a + b + c ...(ii)

27 = a(2)² + b(2) + c

27 = 4a + 2b + c...(iii)

Now adding eqn(i) and eqn(ii) we get 8a + 2c = 34...(iv)

Now multiplying eq(ii) by 2 and adding it to eq(i) we get 6a + 3c = 27...(v).

Now multiplying eqn(iv) by 3 and (v) by 2 and subtracting them we get a = 25/6.

Putting the value of an in eqn(iv) we get c = 1/3.

Similarly substituting the value of a and c in eqn(ii) we get b = -17/6.

∴ The equation of the parabola is y = (25/6)x² -(17/6)b + (1/3)c.

learn more about parabola here :

https://brainly.com/question/4074088

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Find an equivalent system of equations for the following system:

x + 2y = 2
−4x + 4y = −8

a) x + 2y = 2
−4x − 2y = 10

b) x + 2y = 2
5x + 4y = 8

c) x + 2y = 2
5x − 2y = 10

d) x + 2y = 2
5x − 2y = −8

Answers

Answer:

Option C

Step-by-step explanation:

we have

x+2y=2 ------> equation A

-4x+4y=-8 ------> equation B

Multiply equation B by -1 both sides

-1(-4x+4y)=-8*(-1)

4x-4y=8 -----> equation C

Adds equation A and equation C

x+2y=2

4x-4y=8

--------------

5x-2y=10 ----> equation D

An equivalent system of equations is equation A and equation D

so

x+2y=2 ------> equation A

5x-2y=10 ----> equation D

Answer:

C

Step-by-step explanation:

i took the test

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