Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?

Answers

Answer 1

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years


Related Questions

The product of a number, x, and 18 is 113.4. Which equation and value of x represent this relationship?

Answers

Answer:

42

Step-by-step explanation:

Is x = 6 a solution to the equation 5(x – 3) = x + 13?

Answers

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

Find the distance between 3,4 and 3,9

Answers

Answer:

The answer is 5.

Step-by-step explanation:

The distance formula is ↷

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

All we got to to do right now is plug in!

[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]

Therefore, the distance between 3,4 and 3,9 is 5.


What is the volume of the cuboid?​

Answers

Answer:

180cm

Step-by-step explanation:

4cm*5cm*9cm=

Answer:

180

Step-by-step explanation:

Length=9cm

Height=5cm

Width=4cm

So,

9cm×5cm×4cm

=9cm×20cm

=180cm³

someone help ASAP!!!! Please it would mean so much if you helped me!

Answers

The answer is Y=x+2 hope that’s right

Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3

Answers

Answer:

-3

Step-by-step explanation:

[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]

Answer:

-3

Step-by-step explanation:

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Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive

Answers

Answer:

23 orange pins did Shelby receive.

Step-by-step explanation:

25% = 0.25

92 × 0.25 = 23

CAN SOMEONE PLZ HELP

Answers

It would be C. 7*7*7*7*7

Hope this helps

Have a great day/night

Answer:

C. 7*7*7*7*7

Step-by-step explanation:

7^5 is multiplying 7 5 times

Im StUcK HeLp Me
-1 (4x + 2y)

Answers

Answer:

-4x - 2y

Step-by-step explanation:

Hope it works

Answer:

Step-by-step explanation:

−1(4x+2y)

=(−1)(4x+2y)

=(−1)(4x)+(−1)(2y)

=−4x−2y            

Hope this helps u out

x2=120
solve for the exact variable answer

Answers

Answer:

60 ?

Step-by-step explanation:

60×2 = 120. .

when you have a x right behind a number that means multiply

I WILL GIVE YOU BRAINLY PLSS



What is the solution of x + 6 11
C. x –1


PLSS SHOW YOUR WORK PLSS

Answers

Answer:

9.34

Step-by-step explanation:

add 6 then mulitiply 11-1 xC=9.34

You have a goal to save $250. You have saved $160? What percent of your goal have you reached?

Answers

The answer is 64 percent

what is 3a + 2b - 6c

Answers

Answer:

Step-by-step explanation:

a = 3

b = 2

c = 12

3a+2b-6c

3(3)+2(2)-6(12)

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What is the value of x?
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m
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n

Answers

Answer:

x = 70

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then

45 + 2x - 5 = 180, that is

2x + 40 = 180 ( subtract 40 from both sides )

2x = 140 ( divide both sides by 2 )

x = 70

7(n+4)= 21 what’s does n equal

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

7(n+4)= 21  equation/Question

step 2

7(n+4)= 21  simplify

7n+28=21

step 3

7n+28=21  subtract

7n=-7

step 4

[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide

answer

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to the nearest 50 square feet what is the area of the actual store?​

Answers

the answer is C have a good day

How many different 5-digit whole
numbers can be made using the
digits: 2,3,4,5, and 6 when each
digit can be used once only?

Answers

Answer:

120

Step-by-step explanation:

so

?????

this 5 interrogative marks are our 5 digit number

for the first place you have 5 choices(2, 3, 4, 5, 6)

for the second:4

for the third:3

for the fourth:2

and for the fifth:1

you multiply this choices

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Which typist is faster,
Glenda, typing 195 words in 3 minutes, or
Jorge, typing 236 words in 4 minutes?
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please help <3

Answers

Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

Greatest common factor of 4 and 19?​

Answers

Answer:

The greatest common factor of 4 and 19 is 1

Step-by-step explanation:

Answer:

Greatest common factor of 4 and 19 is 1

the equation of the line which has a gradient of 3 and passes through the point (-1,3)

Answers

Answer:

Call the line (d): y = ax + b

(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3

(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0

Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3

So the equation for the line is y = 3x + 3

Step-by-step explanation:

please help its algebra 1

Answers

Answer: She can take 25 students.

Step-by-step explanation:

If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25

Answer:

I think 25 students

Step-by-step explanation:

Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)

Help with number 2 please

Answers

I’m not sure what the answer is, i’ve been staring at it for quite a while. But i need p0ints, so thank you.

Answer:

3 in a half miles

Step-by-step explanation:

Identify the GCF that was factored out of the polynomial -7t2 -42t -49

Answers

Answer:

-7

Step-by-step explanation:

You could take out a factor of -7.

-7t²/-7 = t²

-42t/-7 = 6t

-49/-7 = 7

So the GCF is -7.

Find the value of x in the isosceles triangle 40inches x 25 inches

Answers

Answer:

l

Step-by-step explanation:

HELP Help Please

The volume V of a balloon varies directly with the cube of its radius R. If the volume is 113 cubic inches when the radius is 3 inches, find the formula for the volume.

Answers

Answer:

l × b is the correct answer for this question

2) divide 54kg in the ratio 1:5=​

Answers

Answer:

9:45

Step-by-step explanation:

1:5= 6 parts

54/6=9

9*1=9

9*5=45

9:45

Answer:

9kg and 45kg

Step-by-step explanation:

In fraction from 1:5 is equivalent to  1/(1+5) = 1/6 and 5/(1+5) = 5/6.

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= 9 and 45.

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Answers

Answer:

y=4/5x

Step-by-step explanation:

Y= 4/5x hope I helped :)

The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb

Answers

Answer:

The difference of weight is [tex]2[/tex] pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of [tex]9[/tex] grapefruits

To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex]  grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

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

[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]

Now, we know that,

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many  grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of  [tex]\frac{3}{2} lb[/tex] and how many points there are about class of   [tex]\frac{5}{4} lb[/tex].

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]

Where

[tex]Z[/tex]: Weight difference

[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex]  grapefruit

[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit

Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex]  and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex]  pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]

Now,

[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]              

[tex]=\frac{9}{2} -\frac{5}{2}[/tex]                    

[tex]=\frac{4}{2}[/tex]            

[tex]=2[/tex]

Hence, for this case, the difference of weight is [tex]2[/tex] pounds.

The multiplication property of equality could be used to solve which of the following equations?
OX+2)x-3) = 0
m+7=-12
OD-2) = 18
03+y=7

Answers

Answer:

I pretty sure its C. OD-2) = 18

Step-by-step explanation:

6th grade math help me plzzzz

Answers

Answer:

-0.9

Step-by-step explanation:

First we have to distribute. -1 times t is -1t and -1 times 8 is -8. Now, our equation will look like this: -1t - 8 = -7.1  

Next, we have to carry our -8 to the other side of the euqation. So, we have to plus 8 on both sides. -7.1 plus 8 is 0.9. Now, our equation will look like this,

-1t = 0.9.

Lastly, we have to divide -1 from both sides. 0.9 divided by -1 is -0.9. So therefore, t = -0.9.

-09 welcome have an good day
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