the sum of the three sisters' ages is 51. If ava is 6 years older than
Camila, and Camila is twice as old as Luna, what are the ages of the
three sisters?

Create an equation with only one variable.

Answers

Answer 1

9514 1404 393

Answer:

Luna is 9Camila is 18Ava is 24

Step-by-step explanation:

We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...

Luna's age: LCamila's age: 2LAva's age: 2L +6

The total of their ages is then ...

  L +2L +(2L+6) = 51 . . . . an equation with one variable

  5L = 45

  L = 9

Luna is 9, Camila is 18, and Ava is 24.


Related Questions

Find the measure of 46.
t
56°/1249
46
te
s6 = [?]

Answers

Answer:

56°

Step-by-step explanation:

1st reason= alternate angles.

2nd reason= 124 and angle 6 is co-interior angles which means that little are shoudk adds up to 180.

180-124=56

Elena went to a sporting goods store that
was having a sale. She bought a tennis
racket and 3 cans of tennis balls. How much
will she pay for everything, including tax?

Answers

Are there any other numbers to this question? I will be glad to help.

I NEED HELP ASAP
FIND THE MEASURE OF MISSING ANGLE

Answers

Answer:

50

Step-by-step explanation:

a right triangle is = to 180 so you need all angles to add to 180 so you take 180 minus it by 90 and 40 you are left with 50 degrees

What is the y-intercept of this line? Acellus, 10 points for answer.

Answers

Answer:

y-intercept is ( 0 , 5 )

Step-by-step explanation:

Y intercept is (0,5)

Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4

Answers

Answer:

a,b,e

Step-by-step explanation:

Answer:

B, D, E

OR

The median for the boys is 22

The interquartile range for the boys is 16

The difference between the medians as a multiple of the IQR is 1/4

Step-by-step explanation:

I just did it and got it right

Find f'(x) for the given function.

f(x) = 5/3-x

Answers

Answer:

The derivative is:

[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]

Step-by-step explanation:

We are given the following function:

[tex]f(x) = \frac{5}{3-x}[/tex]

Derivative of a quotient:

Suppose we have a quotient:

[tex]f(x) = \frac{g(x)}{h(x)}[/tex]

The derivative is:

[tex]f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}[/tex]

In this question:

Numerator [tex]g(x) = 5, g^{\prime}(x) = 0[/tex]

Denominator [tex]h(x) = 3 - x, h^{\prime}(x) = -1[/tex]

So

[tex]f^{\prime}(x) = \frac{0(3-x) - 5}{(3 - x)^2} = -\frac{5}{x^2-6x+9}[/tex]

The derivative is:

[tex]f^{\prime}(x) = -\frac{5}{x^2-6x+9}[/tex]

Yoko is mailing packages. Each small package costs her $2.20 to send. Each large package costs her $3.40. How much will
it cost her to send 3 small packages and 1 large package?

Answers

Answer:

$10

Step-by-step explanation:

3($2.20)+3.40

6.60+3.40=10

말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explain the reasoning for your answer. (4 pts.)​

Answers

Answer:

38

Step-by-step explanation:

We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.

find m<1 in the rhombus below

Answers

Answer:

[tex] m \angle \: 1 = 120 \degree[/tex]

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

[tex]m \angle \: 1 = 120 \degree[/tex]

What is the value of m in the diagram?
A. 11.2
B. 20.02
C. 15.8
D. 11

Answers

Answer:

20.02

Step-by-step explanation:

Answer:

20.02

Step-by-step explanation:

You invested $101 and received $106.05 after one year.what was the interest rate?

Answers

The person below me is true

1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?​

Answers

7 Ink Cartridges

11x7=77
7 is the answe cuz 11 22 33 44 55 66 77 count those and u get 7

find the volume of a plastic cube vuilding block with a side length of 12 centimeters​

Answers

Step-by-step explanation:

Length of the plastic cube (L) = 12 cm

Volume of the cube

= L³

= ( 12)³

= 1728 cm³

Hope it will help :)❤

If m= 3 in the equation 2m=4-n, find the value of n.​

Answers

Answer:

-2

Step-by-step explanation:

n=-2
explanation: since m=3 replace m with 3 to multiply it with 2. 2(3)=6 so the equation now is 6=4-n. Subtract 4 on both sides and get 2=-n which would be n=-2.

6. (09.04 LC)
For the equation y = 6x2 – 9x + 22, choose the correct application of the quadratic formula. (5 points)
X
-6+1(6)- 4(-9)(22)
2(-9)
X
6 + (6)- 4-9)(22)
21-9)
--9 +1(-99) - 4(6)(22)
X
2(6)
X
9+(-9) - 4(6)(22)
2(6)

Answers

Given:

The quadratic equation is

[tex]y=6x^2-9x+22[/tex]

To find:

The correct application of the quadratic formula.

Solution:

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have,

[tex]y=6x^2-9x+22[/tex]

Putting [tex]y=0[/tex], we get

[tex]6x^2-9x+22=0[/tex]

Here, [tex]a=6,b=-9,c=22[/tex]. Using the quadratic formula, we get

[tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex]

The correct application of the quadratic formula is [tex]x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(6)(22)}}{2(6)}[/tex].

Note: The options are not in proper format.

find the ratio of 20 : 50

Answers

Answer:

20:50

20/50=40%

NEED HELP MY GRADE DEPENDS ON THIS QUESTION!!!

Write a congruence statement that describes the figures below.

Answers

Answer:

✓ triangle GSP = triangle RKF

Step-by-step explanation:

have a great day!

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

Answers

Answer:

Step-by-step explanation:

making all terms have a common denominator of 12

(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out

3(2x-3)+2(2x-5)=6

6x-9+4x-10=6

10x-19=6

10x=25

x=2.5

Find the area of the trapezoid.

Recall : (b + b) h

Answers

Answer:

36 Sq cm

Step-by-step explanation:

Area of the trapezoid

[tex] = \frac{1}{2} \{8 + (4 + 8 + 4) \} 3\\ \\ = \frac{1}{2} \{8 + 16 \} 3\\ \\ = \frac{1}{2} \times 24 \times 3\\ \\ = 12 \times 3 \\ \\ = 36 \: {cm}^{2} [/tex]


Salma has ridden 18 miles of a bike course. The course is 20 miles long. What percentage of the course has Salma ridden so far?

Answers

Bbvvvvvvvvvvvgyh. JdJennie


A theatre has 46 rows.
There are 42 seats in each row.
During a show at the theatre, there are 50 empty seats.
Work out how many people are watching the show.

Answers

Answer:

1882

Step-by-step explanation:

46x42=1932 1932-50=1882

Suppose f is a linear function such that f(4)= 8 and f(9)= 1. Find the equation for f.

Answers

solving for f(x) linear function i need help finding the equation to get those answers

Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?

Answers

I think the 80 represents how far away they initially start from you

And the 5 is their speed

d=|80-5t|
60=|80-5t| |square both sides
60² = (80-5t)(80-5t)
3600 = 6400-400t-400t +25²
25t²-800t +6400 =3600
25t² -800t + 2800=0
5t² -160t +560=0
(ax²+bx+c=0)
(a=+5 b=-160 c=+560)
Sub into -b formula
x=(-b±√(b²-4ac))/(2a)
t= (-(-160)±√((-160)²-4(5)(560))/(2(5)) .


Should get t=4 seconds and t=28 seconds
sub both values back in to make sure

d=|80-5(4)|
d=|80-20|
d=60ft

d=|80-5(28)|
d=|80-140||
d=60ft

Can you plz help right answer plz

Answers

Answer:

4.8 inches

Step-by-step explanation:

hey douglas you want to divide 240 by 50 and you’d get 4.8 inches

What is the equation of this circle in standard form?



A.
(x + 5.5)2 + (y + 4)2 = 12.25
B.
(x − 5.5)2 + (y − 4)2 = 3.5
C.
(x + 5.5)2 + (y + 4)2 = 3.5
D.
(x − 5.5)2 + (y − 4)2 = 12.25

Answers

Answer:

D.

(x − 5.5)2 + (y − 4)2 = 12.25

Evaluate and simplify the expression when r=2 and s=3

Answers

Answer:13

Step-by-step explanation:plug in the the numbers

Answer:20

Step-by-step explanation:

I’m smart

Need help :C


A bakery in Hong Kong regularly orders carton of cranberries from Australia. The net weight (in ounces) of

cranberries of a random sample of 20 cartons were as follow:

160 170 170 190 210 240 240 240 270 280

290 290 300 420 500 520 530 610 630 650



(c) The bakery orders the cranberries from Australia with currency exchange rate of AUD 1 to HKD 5.8.

For each ounce of Australia cranberries costs AUD 2 and the fixed shipping fee of each carton is HKD

80. Find the mean, standard deviation, range, and third quartile of the payment (in HKD) of ordering a

carton of cranberries from Australia to Hong Kong.

Answers

Answer:

i) Mean = 1933.1817

ii) Range = 5684

iii) Third quartile = 6054

Step-by-step explanation:

Given data :

currency exchange rate : 1 AUD = 5.8 HKD

cost of each ounce = 2 AUD

Fixed shipping cost for each carton = 80 HKD

number of cartons = 20

next determine the total cost of the 20 cartons in HKD

= ∑(weight in ounce * cost of each ounce *exchange rate) +fixed shipping cost

= ∑ ( 160*2*5.8 + 80 )  + -------------- + (650 *2*5.8 + 80 ) ----------------- ( 1 )

= 81756 HKD

i) find the mean value ( X )

= Total cost / number of cartons

= 81756 / 20 = 4087.8

ii) Find the standard deviation

= [tex]\sqrt{\frac{(1936-4087.8)^2+-----+(7620-4087.8)^2}{20-1} }[/tex]      note: std =  √∑(xi-X )^2 / (n-1)

= 1933.1817

iii) Find the range

Range = highest cost - lowest cost   ( values gotten from equation 1 )

           = 7650 - 1936

           = 5684

iv) Determine the third quartile

third quartile = 6054

attached below is the detailed solution

Consider the relationship 7r+2t=7. a. Write the relationship as a function r=f(t).

Answers

Answer: r = 2/7 -t

Step-by-step explanation: solve r from equation

7r = 2-7t l:7. r = 2/7 - t

The relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

What is the equation?

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Consider the relationship;

7r+2t=7

Substitute r = f(t) in the equation

[tex]\rm 7r+2t=7\\\\7f(t)+2t=7\\\\ 7f(t)=7-2t\\\\f(t)=\dfrac{7-2t}{7}\\\\[/tex]

Hence, the relationship as a function r=f(t) is [tex]\rm f(t)=\dfrac{7-2t}{7}\\\\[/tex].

Learn more about equation here;

https://brainly.com/question/9699841

#SPJ2

Solve for x

I don’t have much time pls help. Round to the nearest hundredth

Answers

tan37=x:31
x=31*tan37
x=23.36

(-1) + 1 = 0 is which inverse​

Answers

Answer:

Heya mate....

Step-by-step explanation:

This is ur answer....

--> ADDITIVE INVERSE!

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.

Hope it helps you,

mark me brainliest pls.....

Follow me! :)

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