Rachel is 10 years older than her sister, Renee. In six years from now, the sum of their ages will be 40. How old is each girl?
(Systems of Equations Word Problem)

Answers

Answer 1

Answer: I say the answer is 20 years old, 30 years old

Step-by-step explanation: If rachel is 10 years old than her sister in six years from now, the sum of their ages will be 40. So rachel is 10 years older than her sister so the younger sister has to be 20 years old and and rachel is 30 years old.


Related Questions

Every month a salary of ₹25,500.50 is deposited in Kavya’s account. How much money will she earn in a year?

Answers

Answer: 306,006

Explanation : If you multiple 25,500.50 by 12 (amount of months in a year) you will get the yearly outcome which is £306,006

Answer:

It's 306006

Step-by-step explanation:

It is 306006 because their is 12 months in a year and if you get 25500.5 dollars every month you multiply 25500.5 by 12.

I hope this was helpful!

If one angle of a parallelogram is of measure 70

, find the measures of all the angles of the parallelogram.

Answers

Answer:

70, 110, 70, 110

Step-by-step explanation:

If one angle is 70 degrees, the opposite angle is also 70 degrees.  The 4 angles add to 360, 360 - 140 = 220. The 220 degrees are split 2 ways for the 2 angles, so they are each 110 degrees.

Calculate the average travel time for each distance, and then use the results to calculate. A 6-column table with 3 rows in the second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4. 9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0. 25 meters t subscript 1 (seconds) have entries in the third column 2. 24, 2. 21, 2. 23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0. 5 meters t subscript 2 (seconds) have entries in the fifth column 3. 16, 3. 08, 03. 15 and in the sixth column average. The average time that it takes for the car to travel the first 0. 25m is s. The average time to travel just between 0. 25 m and 0. 50 m is s. Given the time taken to travel the second 0. 25 m section, the velocity would be m/s.

Answers

The average travel time is simply the mean travel time between the given points

The average time that it takes for the car to travel the first 0.25m is 2.23s. The average time to travel just between 0.25m and 0.50m is 0.9s. Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.

(a) The average time to travel the first 0.25m

The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.

So, the average time to travel is:

[tex]Time = \frac{2.24s + 2.21s + 2.23s}{3}[/tex]

[tex]Time = \frac{6.68s}{3}[/tex]

[tex]Time = 2.23s[/tex]

(b) The average time to travel just between 0.25m and 0.50m

The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.

So, the average time to travel this distance is:

[tex]Time = \frac{3.16s + 3.08s + 3.15s}{3}[/tex]

[tex]Time = \frac{9.39s}{3}[/tex]

[tex]Time = 3.13s[/tex]

The average time to travel between both distance is the difference between the average time of each distance.

So, we have:

[tex]Average = 3.13s - 2.23s[/tex]

[tex]Average = 0.9s[/tex]

(c) The velocity in the second 0.25m section

The distance and time are:

[tex]Distance = 0.25m[/tex]

[tex]Time = 0.9s[/tex]

So, the velocity is:

[tex]Velocity = \frac{Distance}{Time}[/tex]

This gives

[tex]Velocity = \frac{0.25m}{0.9s}[/tex]

[tex]Velocity = 0.28m/s[/tex]

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5x+1=3x+y=-15, what is x?

Answers

Answer:

x= -16/5

Step-by-step explanation:

5x+1=-15

solve

5x+1=-15

          -1

5x=16

      16/5

x= -16/5

Joseph is going to paint the panels of a fence. He is going to use the same repeating pattern for the entire fence. The rule is "orange, yellow, pink, green, purple." If there are 98 panels in the fence, how many will be painted green?

Answers

Answer:

19 panels are painted green

Step-by-step explanation:

95/5=19 and because there are 3 colors before green again we don't have to worry about the other 3 panels

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

A high school track​ team's long jump record is 24 ft 2 1/4 in This​ year, Hal​'s best long jump is 23 ft 9 1/2 in If long jumps are measured to the nearest quarter​ inch, how much farther must hal jump to break the​ record?

Answers

24 ft 2 1/4 inches - 23 ft 9 1/2 inches = 4 3/4 inches.

4 3/4 inches would tie it, so now add 1/4 more inches:

4 3/4 + 1/4 = 5 inches.

He needs to jump 5 inches more.

Select the algebra tiles that correctly model the problem.
three less than a number

Answers

Answer:

This is my answer, Credit to the person on top

Answer: its a

Step-by-step explanation:

I NEED HELP ON THIS MATH PROBLEM ASAP

Answers

Answer:

y= -5x +5

Step-by-step explanation:

What is the slope-intercept equation of the line containing the points (–5, 22) and (4, 49) ?

Answers

Answer:

[tex]y=3x+37[/tex]

Step-by-step explanation:

Determine slope:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]49=3(4)+b[/tex]

[tex]49=12+b[/tex]

[tex]37=b[/tex]

Final equation:

[tex]y=3x+37[/tex]

If the purchase price for a house is $218,500, what is the monthly payment if you put 3. 5% down for a 30 year loan with a fixed rate of 6. 5%? a. $1,332. 73 b. $1,378. 19 c. $1,247. 54 d. $646. 40.

Answers

Answer: A $1,332.73

Step-by-step explanation:

The monthly payment if you put 3. 5% down is a. $1,332. 73.

Down payment=218,500 - (218.500×3.5%)

Down payment=218.500-7,647.5

Down payment=210,852.50

Time = 12×30=360 months

rate=6.5/1,200 = 0.005416667

Using the loan payment formula

Monthly payment = (Rate + [Rate / (((1 + rate)^months) -1)] × Principal

Let plug in the formula

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] × principal

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] ×principal

Monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] ×210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = (0.005416667 + 0.0009040135) × 210,852.50

Monthly payment = 0.0063206805× 210,852.50

Monthly payment = 1,332.73

Inconclusion the monthly payment if you put 3. 5% down is a. $1,332. 73.

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What do the following two equations represent?
y = -x + 5
.
5x + 5y = 20
=
Choose 1 answer:
The same line
Distinct parallel lines
Perpendicular lines
Intersecting, but not perpendicular lines

Answers

Answer:

i think B is answer

Step-by-step explanation:

good luck

I think it’s the same line

Triangle A has a 50 degree angle and a 25 degree angle. Triangle B has a 50 degree angle and a 105 degree angle. Are the two triangles similar?

Answers

They are both triangles
Triangle A: isosceles
Triangle B: Isosceles
Overall yes the two are similar.

Which of the following could NOT
be represented by |-121?
A. A balloon rises 12 feet in the air.
B. The stock market gains $12 in a
day.
C. A town lies 12 feet below sea
level.
D. Adam received a gift for

Answers

Answer:

C

Step-by-step explanation:

|-12|= 12

this means that it represents a positive number. Each answer represents a positive number other than the town that lies -12 feet below sea level. (sorry if I'm wrong)

What property does this question use 3(x+6)-2=28

Answers

Answer: Properties of Multiplication. You can use the properties of multiplication to evaluate expressions. Commutative Property. Changing the order of factors does not change their product. Example: a x b = b x a. 4 x 20 = 20 x 4. Associative Property. Changing the grouping of factors does not change their product.

Properties of Multiplication

how many cases does he hear per hour?

Answers

Answer:

13

Step-by-step explanation:

5 x 2 2/3

= 5 x 8/3 = 40/3 =13 1/3

So it's basically 13  1/3, but its 13.

Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.

Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis






Answers

The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

What is reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.

So, the △A'B'C' is:

△ABC:

A (4,1)B (−2,3)C (−1,1)

Now, Translation: (x,y)→(x+2,y+1) (

(x: axis is the line of reflection)

△A'B'C'

A' (6, -2)B' (-4, -4)C' (-3, -2)

Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).

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Question 7 high school geometry.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]

therefore,

[tex] \sf12x - 8 + 104 = 180[/tex]

[tex] \sf12x + 96 = 180[/tex]

[tex] \sf12x = 180 - 96[/tex]

[tex] \sf12x = 84[/tex]

[tex] \sf x = 84 \div 12[/tex]

[tex] \sf x = 7[/tex]

Hence, the value of x is ~ 7

The radius of the front wheel of Brian's bike is 45cm.
Brian goes for a cycle and travels 78.15km.
How many full revolutions did Brian's front wheel complete?

Answers

Answer:

Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.

Step-by-step explanation:

tell me if im wrong.........

Please write a equation for this table

Answers

Answer:

  y = 5x +2

Step-by-step explanation:

The point (0, 2) tells us the y-intercept is 2.

If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...

  6, 30

  -2, -10

  0, 0

  10, 50

We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.

  y = 5x +2

0.517 converted into a percent

Answers

Answer:

51.7%

Step-by-step explanation:

Because percent is out of 100, you multiply 0.517 by 100 and get 51.7, which is your percent.

#1 need help asap plzzzzzzzzzzzz

Answers

Answer:

[tex]n+4<12[/tex]

Step-by-step explanation:

A number would be represented as [tex]n[/tex]

"plus 4" is addition so that would be [tex]n+4[/tex]

fewer and less have the same meaning so that would be a less than sign [tex]<[/tex]

so that's how you get [tex]n+4<12[/tex]

Wesley Snipes earns a monthly salary of $1,685, plus a 8.5% commission on all sales over $2,000 each month. This month, his sales were $6,250. What was his total
income for the month?
$2,224.50
$2,175.80
$2,112.90
$2,046.25
None of these choices are correct

Answers

Answer:

none of theses choices. wesley makes $2185 this month

Step-by-step explanation:

AHH HALP

0.333 as a fraction
0.666 as a fraction
0.343434 as a fraction
1.432432 as a fraction

PLZ I NEED IT IN THE NEXT FEW MINS

I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE BEST ANSWER AND THE CORRECT ANSWER

PLEASE GIVE ME AN EXPLANATION AND A CORRECT ANSWER! THANK YOU

(Also sorry for caps, I just really need those answers lol)

Answers

Step-by-step explanation:

for the ones with the 1.43, it'll be written as an improper fraction. Let me know if you have questions,I've started it for you now try the rest

0.333 is apoximently 1/3

0.666 is aproximently 2/3

i couldnt find out the others tho s0rry

\Hoped that helped:P

NAME THE PARTS OF THE CIRRCLR​

Answers

a) Point O

b) [tex]\overline{OB}[/tex]

c) [tex]\overline{AB}[/tex]

4) arc DE (m)

5) [tex]\overline{DE}[/tex]

6) Semicircle AEB

f(x)=x^2-25. Determine the value of x for the given function formula

Answers

Answer:

You can't really determine anything here, as we'd need to know also the value of F(x)! Check again if there misses anything in this question.

Look at the picture please help

Answers

Answer:

c

Step-by-step explanation:

First off, we know that (g ° f)(2) is just both functions done in a ordered fashion. In this case, f(x) is done first.

To figure out what f(2) is, all we have to do is find where x = 2 is on the graph. In this case it is on point (2, 3). The input is the x and the output is the y, so f(2) = 3.

Then, we can figure out what g(3) by locating x = 3 on line g. It shows the point (3, 0). This means that g(3) = 0.

4(2v+6)=[?]v+[ ]

what is the questionmark

Answers

Answer: 8v+24

Step-by-step explanation:

[tex]4(2v+6)=4(2v)+4(6)=8v+24[/tex]

need help with this question please
(1/5 x 5) to the 5th power =

Answers

Answer:

1

Step-by-step explanation:

According to the rule of PEMDAS, we must perform parentheses before exponents.

1/5 x 5 = 1

1 to the power of anything is still 1, so that is the answer.

At the school's holiday craft fair, Juan and his classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the 8 students at the table. Each student gets 4 licorice ropes to decorate the roof of his or her gingerbread house.
Which equation can you use to find the number of licorice ropes r that came in the bag?

Answers

To find the number of licorice ropes r that came in the bag, the equation would be r/ 8 = 4.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The teacher divides a bag of licorice ropes evenly among the 8 students at the table.

Each student gets 4 licorice ropes to decorate the roof of his or her gingerbread house.

Let the number of licorice ropes that came in the bag be r.

The total number of students = 8

one student gets the licorice ropes = 4

The equation formed

r/ 8 = 4

r = 32

Learn more about equations;

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The equation to find the number of licorice ropes came in the bag r, is r = 32

The equation to find the total number of licorice ropes, r, that came in the bag, based on the information provided. Each student gets 4 licorice ropes to decorate the roof of their gingerbread house, and there are 8 students.

The total number of licorice ropes can be found by multiplying the number of ropes each student gets (4) by the number of students (8):

Total licorice ropes = Number of ropes per student × Number of students

r = 4 × 8

Simplifying further:

r = 32

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Please help me ASAP!!
Thx

Answers

Answer:

8

Step-by-step explanation:

The fraction simplifies to 9 ^5

9^5 x 9^3 = 9^8

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