Mia, Jan, and Eva are sisters. Their combined ages are 44. Mia is 4 years older than Jan. Eva is 5 years younger than Jan. Which system of equations could be used to find Mia’s age?

Let x = Mia’s age, y=Jan’s age, and z=Eva’s age

Answers

Answer 1
Because of the question we know that Mia (x) is 4 years older (+ 4) than Jan (y) and Eva (z) is 5 years younger (- 5) than Jan:

x = y + 4
z = y - 5

Substitute:

x + y + z = 44
y + 4 + y + y - 5 = 44

Collect like terms:

3y + 4 - 5 = 44

Isolate 3y:

3y = 45

y = 15

Since we now know y (Jan’s age), we can find out Mia and Eva’s ages:

Mia: y + 14
= 15 + 4
Mia is 19 years old

Eva: y - 5
= 15 - 5
Eva is 10 years old

Proof:

x + y + z = 44
19 + 15 + 10 = 44

Related Questions

A. Last night, 8.2 x 105 fans
attended a concert, and each
fan recorded an average of
600 seconds of the concert on
their phones. What is the total
number of seconds recorded
from all of the fans at the
concert?

Answers

Step-by-step explanation:

8.2 x 105 = 861

861 x 600 = 516,600

Answer: 516,600

This isyes is the algebra one or two please mark me brainlist

Find the equation of the circle with radius 3 and center (6,-2)

Answers

Answer:

(x - 6)² + (y + 2)² = 9

General Formulas and Concepts:

Pre-Calculus

Equation of a Circle: (x - h)² + (y - k)² = r²

(h, k) is the centerr is the radius

Step-by-step explanation:

Step 1: Define

Center (6, -2)

Radius r = 3

Step 2: Write equation

Substitute:                    (x - 6)² + (y + 2)² = 3²Evaluate:                       (x - 6)² + (y + 2)² = 9

plz help ill mark you brainliest

Answers

Answer:

cos 30= 0.1542

tan 48= 1.2001

sin 79= -0.4441

plz mark brainliest

Bill drove 406 miles in 7 hours. What was the average speed per hour? WILL GET BRAINLIEST!!!!!

Answers

Answer:

58 miles per hour

Step-by-step explanation:

Divide 406 by 7

If a windmill with radius 26 feet makes 12 full revolutions every 1 minute, what is its linear speed?

Answers

The linear speed of the windmill is 1,960.35 feet per minute.

Given data:

To calculate the linear speed of the windmill, determine the distance traveled by a point on the circumference of the windmill in 1 minute.

The circumference of a circle can be calculated using the formula:

Circumference = 2 * π * radius

Given that the radius of the windmill is 26 feet, the circumference is:

Circumference = 2 * π * 26

Now, the windmill makes 12 full revolutions every 1 minute. Since one revolution is equivalent to one circumference, the total distance traveled in 1 minute is:

Distance = 12 * Circumference

Substituting the value of the circumference:

Distance = 12 * (2 * π * 26)

Simplifying this expression:

Distance = 24 * π * 26

Therefore, the linear speed of the windmill is equal to the distance traveled divided by the time taken, which is 1 minute:

Linear speed = Distance / Time

Linear speed = 24 * π * 26 / 1

Calculating this value, the linear speed of the windmill:

Linear speed ≈ 1,960.35 feet per minute

Hence, the linear speed is 1,960.35 feet per minute.

To learn more about speed, refer:

https://brainly.com/question/19930939

#SPJ12

(+8) + (-2)

I need to understand this

Answers

Answer:

6

Step-by-step explanation:

(+8) + (-2): Okay so for this question you can just cancel the + in the middle and just do 8-2 which gives you 6, however this doesnt work for all questions so be careful

help me asap lol
geometry class

Answers

Answer:

x is 35° more degrees than z

PLEASE HELP. ITS ALGEBRA

Answers

Answer: the y intercept is 330. the rate of change is -55. the domain is infinity since it is linear i'm pretty sure

Step-by-step explanation:

I ALSO NEED HELP ON ALGEBRA (you got the answer)

Please Help
Starr drives 495 miles in 9 hours. How many miles does Starr drive in 15 hours? 825 miles 975 miles 1,040 miles 1,375 miles

Answers

Answer:

825 miles

Step-by-step explanation:

Divide starting number by nine to get 55. Then multiply 55 by 15 to get 825 miles

Answer:

A 825

Step-by-step explanation:

How many millimetres are there in 3
cm​

Answers

Answer:

30 millimeters

Step-by-step explanation:

Every centimeter is 10 millimeters so 30 millimeters=3cm.

Hope this helps ;D

The answer is 30 millimeters

8th GRADE MATH #7 On its first visit to the vet, Emma’s Kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit, the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten’s weight since its first visit? *

Answers

Answer:

32%

Step-by-step explanation:

How many decimeters are in 3.5 dekameters

Answers

Answer:

350 decimeters

Step-by-step explanation:

I did it on my calculator

X - 15 = 18

What is the value of x?

Answers

Answer:

x=33

Step-by-step explanation

2 step equation

add 15 to 18 because there's a minus in front of the 15

15+18=33

Answer:

X = 33

Step-by-step explanation:

bc 33 subtracted by 15 is 18

Pls help it’s algebra 1

Answers

Answer:

Y+1=-1/2(x-4) the very bottom choice trust me its in point slope form and since the 1 is negative it turns into a positive for the equation and adds to the Y

Step-by-step explanation:

Should be easy points!
The sum of 2 times a number and twice its reciprocal is 20/3. Find the numbers.


Please show work because I am so lost.

Answers

Answer:

Let x represent the number from the sentence.

Step-by-step explanation:

2(x) + 2(1/x) = 20/3

2x + 2/x = 20/3

multiply both sides of the equation by 3x

6x + 6 = 20x

6x - 20x + 6 = 0

6x - 18x - 2x + 6 = 0

6x(x-3 -2(x-3) = 0

(6x-2 = 0 or x-3 = 0

6x = 2 or x = 3

x = 2/6

x = 1/3

Since x represented the number

Therefore x = 1/3 or 3

Point A is located in which quadrant? On a coordinate plane, point A is at (negative 3, 5). Quadrant I Quadrant II Quadrant III Quadrant IV

Answers

Point a is located in Quadrant 1

Answer:

quadrant 2

Step-by-step explanation:

The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of:_______

Answers

Answer:

Descriptive statistics

Step-by-step explanation:

The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of Descriptive statistics

Descriptive statistics is referred to as the process of using a descriptive statistic. A descriptive statistic contains the quantitative summary from a sample data or information.The chances of winning the Maryland lottery are one chance in twenty-two million is an example.

Four times a number added to six equal 26

Answers

Answer:

x=5

Explanation:

4x + 6 =26

4x = 20

x = 5

Answer:

x = 5

Step-by-step explanation:

Equation: 4x + 6 = 26

Subtract 6 from both sides: 4x = 20

Divide each side by 4: x = 5

I hope this helped, please mark Brainliest, thank you !!

Halla las dimensiones de un rectángulo de 48 cm2 de área sabiendo que es 2 cm
más ancho que alto

Answers

Answer:Alto 16cm Ancho 32cm

A+2A=48

3A=48

/3

A=16

Step-by-step explanation:

If rectangle ABCD was reflected over the Y axis reflected over the X axis and rotated 180° where would point A
lie

Answers

Answer:

The answer is (-4,1)

Step-by-step explanation:

Answer:

(-4,1)

Step-by-step explanation:

Diego is 165 cm tall andre is 1.7m tall how many centimeters tall is andre

Answers

Answer:

he is 170cm tall

Step-by-step explanation:

Answer:

Andre is 170 cm tall.

Step-by-step explanation:

There are 100 centimeters in a meter. To find the answer, we would multiply 1.7 by 100 to convert it to centimeters.

1.7 × 100 = 170

or

1.7 × 10² = 170

What is -2+(-4) I need help with it because id not understnad how to add integers

Answers

Answer:

-6

Step-by-step explanation:

2+4=6

turn the numbers into negatives

-2+-4=-6

what are 1 step equations

Answers

Answer:

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Step-by-step explanation:

:D

Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify from the first step to the second step. 8D=56. D=7

Answers

Answer:

D. Division Property of Equality

Step-by-step explanation:

Given that [tex] 8D = 56 [/tex], to find the value of D, the property of equality that needs to be applied here would be the one that would make both sides equal by performing the same operation on both sides of the equation.

Thus:

Applying the the Division Property of Equality, we would divide both sides by 8.

[tex] \frac{8D}{8} = \frac{56}{8} [/tex]

[tex] D = 7 [/tex]

This will leave you with D standing alone. Of which value is 7.

How many 2/3 size pieces in 4 whole

Answers

Answer:

64 cm2

Step-by-step explanation:

Answer:

6 pieces

Step-by-step explanation:

Number of pieces = 4 ÷ (2/3)

                              [tex]= 4 *\frac{3}{2}\\\\= 2 * 3\\ = 6[/tex]

Rewrite the expression x^(-7/8) in radical form.

Answers

Answer:

1 / 8√ x^(7)

Tell me if you need the step by step process.

Encuentra la forma de la ecuacion de la recta que pasa por el punto P(-1,5) y que es perpendicular a la recta 2x + 3y - 8= 0

Answers

Responder:

2y-3x = 12

Explicación paso a paso:

La forma estándar de ecuación de una línea se expresa como;

y = mx + c

m es la pendiente

c es la intersección

Primero necesitamos la pendiente de la ecuación conocida;

Dada la ecuación 2x ​​+ 3y - 8 = 0

Vuelva a escribir en forma estándar;

2x + 3y = 8

3y = -2x + 8

y = -2x / 3 + 8/3

Por lo tanto, la pendiente de la línea dada es -2/3

Dado que la línea desconocida es perpendicular a la línea dada, el producto de sus pendientes será -1;

mM = -1

M = -1 (-2/3)

M = 3/2

La pendiente de la línea desconocida es 3/2

Obtener la intersección:

Sustituya m = 3/2 y el punto (-1, 5) en la expresión y = mx + cy obtenga c como se muestra;

5 = 3/2 (-1) + c

5 = -3/2 + c

c = 5 + 3/2

c = (10 + 3) / 2

c = 13/2

Obtenga la ecuación requerida;

Dado que y = mx + c

y = 3x / 2 + 13/2

multiplicar por 2;

2y = 3x + 12

2y-3x = 12

De ahí que la forma de la ecuación de la recta que pasa por el punto P (-1,5) y que es perpendicular a la recta 2x + 3y - 8 = 0 es 2y-3x = 12

Answer:

The answer is A, C, E

Step-by-step explanation:

I took the test

PLSSS ANSWER I DONT HAVE LOTS OF TIMEEE!!?!?!?!?!?!??!??!??! Three families took a vacation to Phoenix. The Abbott Family spent $840 on four nights at their hotel and three airline tickets. The Baker Family spent $1,130 on nine nights at their hotel and two airline tickets. The Carson Family spent $2,080 on six nights at their hotel and five airline tickets. Two of the families paid the same price per night at their hotel and per airline ticket.

Which two families would have had to pay the same price per night at their hotel and per airline ticket to have the largest possible nightly hotel cost?
A.
the Abbott and Baker Families

B.
the Abbott and Carson Families

C.
the Carson and Baker Families

D.
all three families would have to pay the same price

Answers

Answer:

c

Step-by-step explanation:

both of the familys have higher cost and have to stay longer

Want to help me thanks if not ok to
will give brainliest

Answers

Answer:

The answer is 18.2

Step-by-step explanation:

17+24+19+17+14=91

91/5=18.2

HEYYYYYYYYYYY I NEED HELPPPPPP WILL GIVE BRAINLIST

Answers

Answer:

1/3

Step-by-step explanation:

There are six triangles

2/6 of them are green

We can simplify this to 1/3

Answer:

1/6

Step-by-step explanation:

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