if Vera is 3 times as old as Zoe and 2 times as old as Paul. And the sum of their ages is 33. what is Zoe's age?​

Answers

Answer 1

Answer:

Zoe is 6 years old.

Step-by-step explanation:

Vera - V

Zoe - Z

Paul - P

V = 3Z

Z = [tex]\frac{1}{3}V[/tex]

V = 2P

P = [tex]\frac{1}{2}V[/tex]

V + Z + P = 33

[tex]V + \frac{1}{3}V + \frac{1}{2}V = 33[/tex]

[tex]\frac{6}{6} V + \frac{2}{6}V + \frac{3}{6}V = 33[/tex]

[tex]\frac{11}{6}V = 33[/tex]

[tex]V = 33 * \frac{6}{11}[/tex]

[tex]V = 3 * \frac{6}{1}[/tex]

[tex]V = 18[/tex]

V = 3Z

18 = 3Z

Z = 6


Related Questions

The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.

Answers

For a square:

A = s2, where s = side (the length and the width are the same)
625 = s2
±25 = s

length of rectangle = 1.4 · length of square
length of rectangle = 1.4(25)
length of rectangle = 35

Find one value of x for F(x)=-4

Answers

F(x) = -4 means y = -4. That means whatever the x is, the answer is going to be -4.

What is the property of this math problem please help

Answers

Answer:

distributive property

Step-by-step explanation:

Because distributive property formula is a(b+c) = ab + ac

meaning that w(6+5) = 6w + 5w

1) The number 79 has been rounded to the nearest unit. Find its lower and upper bounds,

Answers

Answer:

Lower bound: 78.5

Upper bound: 79.5

Step-by-step explanation:

Since it is rounded to the nearest unit, we will subtract 1/2 to get the lower bound, and add 1/2 to get the higher bound.

If it were rounded for example to the nearest first decimal place, the number we will use is going to be 0.1 / 2

solve this question

Answers

Answer:

what... how

Step-by-step explanation:

4(4 + 7x) + x 2 -6x +5

Answers

Factoring this equation would get you (x+21)(x+1)

Prove: The square of an even number is even

Answers

Squares of even numbers are even, and are divisible by 4, since (2n)2 = 4n2. Squares of odd numbers are odd, and are congruent to 1 modulo 8, since (2n + 1)2 = 4n(n + 1) + 1, and n(n + 1) is always even.

A grocery store sells bananas for $0.59 per pound. On Wednesdays, the store offers a 10% discount to senior citizens. Create a function f(x) which models the amount, in dollars, a senior citizen would pay for x pounds of bananas on a Wednesday.

Answers

Answer:

f(x)= 0.90(0.59x)

Step-by-step explanation:

The 10% discount will make it so the senior citizens will pay 90% of the price. 90%=0.90

Also we need to know that 0.59x means how much money per pound the bananas cost.

So when you put it together, you should get f(x)=0.90(0.59x)

18x+5=-1+8x+46 find value of x

Answers

Answer:

3

Step-by-step explanation:

18x + 15 -8x = 8x + 45 -8x

10x + 15 = 45

10x + 15 - 15 = 45 - 15

10x = 30

10x/10 = 30/10

× = 3

What is the slope-intercept equation
for the following line?
y = [?]x+O

Answers

the answer is y=1x+1

Answer:

the answer is Y=1x+1

hey yall it's holiday season and I want to wish you all a good Christmas and Thanksgiving anyways what is your favorite nintendo game?​

Answers

Answer:

Merry xmas bro

Step-by-step explanation:

fav nintendo game is the first mario

A local store sells bags of game pieces with various colors. Four out of every 19 pieces are red. The store sold a bag with 76 game pieces. What number of the game pieces are red? Write your answer as a whole number.

Answers

Answer:

16 game pieces that are  red

Step-by-step explanation:

If point A is located at (-7 , 5) on a coordinate plane, and point B is located at (4 , 5), what is the distance between the two points?​

Answers

Answer:

[tex]11[/tex]

Step-by-step explanation:

[tex]\sf{Use\: the\: distance\: formula\: to\: determine\: the\: distance\: between\: two\: points.[/tex]

[tex]\sf{Distance=\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]\mathrm{Plug\:the\:points}[/tex]

[tex]\sqrt{\left(4-\left(-7\right)\right)^2+\left(5-5\right)^2}[/tex]

[tex](4+7)^2=11^2\\(5-5)^2=0[/tex]

[tex]\sqrt{11^2+0}[/tex]

[tex]11^2+0=11^2\\\sqrt{11^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule:\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\:\mathrm{is\ greater\ than \:or\ equal\: to \:0}[/tex]

[tex]=11[/tex]

Which of the following is the perimeter of a triangle with side lengths of 8 in, 9 in, and 11 in?

Answers

Answer:

the one with the perimeter of 28 in

Step-by-step explanation:

To calculate the perimeter of a triangle, add the length of its sides.

8 + 9 + 11 = 28in

Yoko, Austin, and Dante served a total of 105 orders Monday at the school cafeteria, Yoko served 9 fewer orders than Austin. Dante served 4 times as many
orders as Yoko. How many orders did they each serve?

Answers

Answer:

Austin: [tex]25[/tex]

Dante: [tex]64[/tex]

Yoko: [tex]16[/tex]

Step-by-step explanation:

Total: [tex]105[/tex]

Austin: [tex]y+9[/tex]

Dante: [tex]4y[/tex]

Yoko: [tex]y[/tex]

Equation:

[tex]y+9+4y+y=105\\6y+9=105\\6y=96\\y=16[/tex]

Invisible Steps:

Combine like terms: [tex]y+y+4y=6y[/tex]

Subtract 9 from each side: [tex]6y+9-9=6y[/tex]

                                            [tex]105-9=96[/tex]

Divide by 6 on each side: [tex]6y[/tex] ÷ [tex]6=y[/tex]

                                           [tex]96[/tex] ÷ [tex]6 = 16[/tex]

i really need help with this quition

Answers

Answer:

I really need help with this question.*

Answer:

There is no question

Step-by-step explanation:

Hope you have a great day!!

increase R700 in the ratio 3:2

Answers

Answer:

3 over5 multiplied by 320 equals 192

Alguien me puede ayudar en esta tarea por favor la necesito para mañana

Answers

La expresion que podemos utilizar para encontrar el valor de los lados del cuadrado :

R = [tex]\sqrt{x^{2}+16x+64}[/tex]

HELP PLSSSS OMG Round answer to nearest tenth too I KEPT GETTING I WRONG

Answers

Answer: where is the picture?

(d). Find the area of the region enclosed by the graphs of f(x)= x³ and g(x)=x²+2x. [Verify your answer by MATHEMATICA and attach the printout of the commands and output (e). Find the area of the region enclosed by the graphs of y = 3/X and y=4-X. [Verify your answer by MATHEMATICA and attach the printout of the commands and output

Answers

Answer:

d .  37/12 unit^2.

Step-by-step explanation:

d) First find the points of intersection of the the 2 graphs, by solving them simultaneously:

x^3 = x^2 + 2x

x^3 - x^2 - 2x) = 0

x(x^2 - x - 2) = 0

x(x - 2)(x + 1) = 0

So they intersect at x = -1, x = 0 and x = 2.

Take the area from x = 0 to x = 2)

           2                        2

Area =  ∫ x^2 + 2x dx -   ∫  x^3 dx

            0                       0

   2

=  [ x^3/3 + x^2 ) - x^4/4]

   0

=   ((8/3 + 4) - 0) - (16/4 - 0) -

=   8/3 unit^2

Now calculate the area  from x = -1 to x = 0.

   0

=    (x^3/3 + x^2 ) - x^4/4 )

   -1

=   (( 0 +1/3 - 1) ) - (0 - 1/4)

=  5/12 unit^2

So the total area of the region =  8/3 + 5/12 = 37/12 unit^2.

help plz I have an f in the class

Answers

rise over run: the answer is 2

if someone helps me with dis ill give u brainliest​

Answers

Answer:

4 different answers

Step-by-step explanation:

1.

[(24/3) + (5*2^2)] = 28

2.

[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3

3.

[(24/3 + 5)*2^2] = 52

4.

[(3 + 5*2^2)/24] = 23/24

Answer:

Step-by-step explanation:

1 - 2 + 10 o lw. First find a common denominator. 3 * 5 ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25. Find a common.

Find the slope of the line that passes through:
(6,7) and (4,2)

Answers

Answer:

5/2

Step-by-step explanation:

Slope = Change in y/Change in x

Slope = 2 - 7/4 - 6

Slope = -5/-2

Slope = 5/2

-Chetan K

Evaluate the expression 8+-9​

Answers

Answer:

8+-9=-1

Step-by-step explanation:

evaluated

Answer:

8+(-9)=8-9=-1

Step-by-step explanation:

to get -9 you multiply -×+ which is -

URGENT PLEASE


Heron's Formula:




In geometry, Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle by requiring no arbitrary choice of side as base or vertex as origin, contrary to other formulas for the area of a triangle, such as half the base times the height. Use Heron's formula to find the area, in square centimeters, of ΔABC.


Question 6 options:


A)


16.541


B)


15.612


C)


14.704


D)


24.708

Answers

[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=7.2\\ b=6.7\\ c=4.5\\ s=\frac{7.2+6.7+4.5}{2}\\[0.5em] \qquad 9.2 \end{cases} \\\\\\ A\sqrt{9.2(9.2-7.2)(9.2-6.7)(9.2-4.5)}\implies A=\sqrt{9.2(2)(2.5)(4.7)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 14.704~\hfill[/tex]

Answer:

The answer is C. 14.704

Step-by-step explanation: I just took the test

685,327 round to the nearest thousand

Answers

Answer:

685,000

Step-by-step explanation:

Answer:

685327.000

 

Step-by-step explanation:

noah ran 2 1/2 miles in 3/5 hour

Answers

Answer:

4.1(6), 25/6, or 4 1/6 mph

Step-by-step explanation:

2.5/0.6=25/6

the sum of the first n terms of an arithmetic sequence is 242. If the first term is 12 and the last term is 42, find the value of n

badly need this rn ​

Answers

Answer:

Step-by-step explanation:

Sum of first n terms = 243

[tex]a_{1} = 12 \\\\l = 42\\\\S_{n} = \dfrac{n}{2}(a_{1}+l)\\\\\dfrac{n}{2}(12+42) = 243\\\\\\\dfrac{n}{2}*54=243\\\\\\n*27=243\\\\n=\dfrac{243}{27}\\\\n=9[/tex]

trevin puts 8 gallons of

Answers

Answer:

24.75 is answer

Step-by-step explanation:

Answer:

That was a good start, but we need the rest of the question.

Step-by-step explanation:

Solve for q.
7q–5q=16
q=

Answers

Answer:

q = 8

Step-by-step explanation:

7q - 5q = 16

Then you can subtract the 7q by 5q which will get you 2q.

So now it is 2q = 16, you can simply divide both sides by 2 to get 8

hope it helped!

Hello, I hope you are having a nice day.

7q-5q=16

Combine Like terms:

2q=16

Divide both sides by 2 in order to isolate q:

q=8.

So this is the answer. Hope it helps you. :)

Ask me if you have any queries.

~An emotional teenager who helps other people on Brainly

[tex]MagicalNature[/tex]

Good luck.

Other Questions
I'm thinking of a number that is 24 hundred less than half of 860 tens. what is my number? Anna can jump 35 times in one minute. This is70% as many as Alexander can jump in oneminute. How many times can Alexander jump ina minute? hii I need help with this I really don't get it and I'm like, bad at Functions and stuff like that, I hope this doesn't trouble you :( the question is in the image! A decrease in the efficiency of the left side of the heart (ie blockage in left coronary artery) will cause edema form where?O a. Lower extremitiesO b. Headc. LungsOd, Heart itself I need help pleaseeeeeeee Help, this looks simple yet I am confused. Sarah, who is 15 years old, is performing a step challenge to strengthen her cardio-respiratory endurance. She commences by timing her resting heart rate for 6 seconds, then adds a 0 to the end of the number of heartbeats she counts . Sarah then after times her exercise heart rate for 6 seconds, then adds a 0 to the end of the number of heartbeats she counts, after she completes her 3-minute step challenge. She then rests for 1 minutes and after that minute she times her recovery heart rate for six seconds, then adds a 0 to the end of the number of heartbeats she counts. What are Sarah's heart rates throughout her resting, exercise, and recovery heart rate?-----------------------------------------------------------------------------------------------------------------------------Example: His resting heart rate is 7 beats throughout 6 seconds, add a 0 to the 7, which makes her resting heart rate 70.-----------------------------------------------------------------------------------------------------------------------------Questions:Resting Heart Rate: __Exercise Heart Rate:__Recovery Heart Rate:__please help Is the partial pressure of o2 higher in water or the air? Are bath bombs pure substances or mixtures The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable. How does changes in the market for new cars impact the market for second-hand cars? (9 marks)Help me answer this objectivity in the interpretation of data is referred to as According to the U.S. Census, the multigenerational household has increased more than a third between 1990 and 2000, and represents __________ percent of all households in America.Question 44 options:0.441424 a helicopter cruises at a constant velocity when the total thrust of the engines is 5,000 N. How much air resistance acts on the jet ?? Are all mutations harmful? Explain. Describe any two administrative reforms of sher Shah in brief. There are 6 circles and 9 triangles. What is the simplest ratio of circles to totalshapes? Can someone explain the distributive property to me in simple terms? Thanks In Chapter 6, Louie overhears someone refer to a B-24 plane as "the Flying Brick," "the Constipated Lumberer," and perhaps most foreboding,"the Flying Coffin." How do the descriptions of the B-24 in this section foreshadow events later in the text? I-Ready find the measure of angle RST