Albert, bill, claire, and David are all siblings. Bill was born 2 years after Albert. Claire's favourite colour is orange and she is currently half the age of Albert. David enjoys golf and swimming and he is 3 times older than Bill.

The total of their age is 113 using algebraic methods find out their exact age
what is their exact age

Answers

Answer 1

Answer:

Albert = 22

Bill = 22 - 2 = 20

Claire = 22/2 = 11

David = 3(20) = 60

Step-by-step explanation:

Let Albert's age = x

Bill = x - 2

Claire = x/2

David = 3(x - 2)

Total sum of their ages = 113

x + x - 2 + 0.5x + 3(x - 2) = 113

x + x - 2 + 0.5x + 3x - 6 = 113

x + x + 3x + 0.5x -2 - 6 = 113

5.5x - 8 = 113

5.5x = 113 + 8

5.5x = 121

x = 121 / 5.5

x = 22

Albert = 22

Bill = 22 - 2 = 20

Claire = 22/2 = 11

David = 3(20) = 60


Related Questions

11.
Ummm...how do you do this? ​

Answers

Provide a problem and I'll give you an answer...

Factor 12a - 15b + 6

Answers

Answer:

Hi! The correct answer is 3(4a-5b+2)!

Step-by-step explanation:

~Factor 3 out of 12a-15b+6~

Answer:

3(4a- 5b + 2)

Step-by-step explanation:

Hope this helped!!! :)

What is 36.6 – 24 x 2² ÷ 3

Answers

Answer:

36.6 - 24 × 4 ÷ 3 =

= 36.6 -96 ÷3 =

= 36.6 - 32 =

= 4.6

PLEASE HELP AND SHOW WORK​

Answers

Answer:

14) x = 6 and y = 8

15) x = -1 and y = 1

16) x = 7 and y = 10

Step-by-step explanation:

14) From the given parallelogram, we can say that;

PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.

Thus;

If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;

PT = TR

2x = y + 4

y = 2x - 4 - - - eq 1

Also;

QT = QS

x + 2 = y - - - eq 2

Put x + 2 for y in eq 1 to get:

x + 2 = 2x - 4

2x - x = 4 + 2

x = 6

Put 6 for x in eq 2 to get;

6 + 2 = y

y = 8

15) similarly from above;

x + 2 = y - - - eq 1

2x = y + 3

y = 2x + 3 - - - eq 2

Put 2x + 3 for y in eq 1;

x + 2 = 2x + 3

2x - x = 2 - 3

x = -1

Put -1 for x in eq 1 to gwt;

-1 + 2 = y

y = 1

16) similarly again;

y = x + 3 - - - (eq 1)

2y = 3x - 1 - - - (eq 2)

Put x + 3 for y in eq 2;

2(x + 3) = 3x - 1

2x + 6 = 3x - 1

3x - 2x = 6 + 1

x = 7

Put 7 for x in eq 1;

y = 7 + 3

y = 10

Thus, x = 7 and y = 10

Josh works 40 hours a week and earns $10 an hour. Calculate Josh’s total earnings and place your answer in the paycheck.

Answers

Answer:

He earns $400 weekly and $57.14

Step-by-step explanation:

40*10 = $400

So if Josh works 40 hours a week, and gets 10 dollars per hour... 40 x 10= 400

Josh earns a total of $400 dollars a week!

180° rotation
Pre rotation points

Answers

Answer:

whats the question???????????

Helpppppp meee please

Answers

Answer:

7.25 and 7.20

Step-by-step explanation:

I calculated and got it correct

Answer:

a) $14.45 b) 1.45x+1.2y

Step-by-step explanation:

5*1.45+6*1.2=14.45

Which decimal is less than 0.47?
0.5, 0.64, 0.38, 0.9

Answers

Answer:

0.38

Step-by-step explanation:

I hope this helps you with your test :)

Answer:

0.38

Step-by-step explanation:

.38 is before .47

What number is 115% of 106? (Show your work)

Answers

1. We assume, that the number 106 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 106, so we can write it down as 100%=106.
4. We know, that x% equals 115 of the output value, so we can write it down as x%=115.
5. Now we have two simple equations:
1) 100%=106
2) x%=115
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=106/115
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115 is what percent of 106

100%/x%=106/115
(100/x)*x=(106/115)*x - we multiply both sides of the equation by x
100=0.92173913043478*x - we divide both sides of the equation by (0.92173913043478) to get x
100/0.92173913043478=x
108.49056603774=x
x=108.49056603774

now we have:
115 is 108.49056603774% of 106

Answer:

121.9

Step-by-step explanation:

1% of 106 =  1.06

1.06 x 15 = 15.9

106 + 15.9 = 121.9

What is the equation in slope-intercept form of the line that passes through the
point (2,-2) and is perpendicular to the line represented by y = x +2?

Answers

Answer:

[tex]y=-x[/tex]

Step-by-step explanation:

The slope-intercept form of a line can be written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] are the coordinates of any point that this line passes through.

Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to [tex]y=x+2[/tex] will have a slope of [tex]-\frac{1}{1}=-1[/tex].

Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:

[tex]-2=-1(2)+b, \\b=0[/tex]

Thus, the equation of this line is [tex]\fbox{$y=-x$}[/tex].

a new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year what will the value of the car be, to the nearest cent, after 15 years?

Answers

The answer is 4034.1

Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?

Answers

10x= 5
x= 1/2
For every 2 newspapers he gets $1.
320/10 times 5
32 times 5
Answer:
$250

If the original quantity is 14 and the new quantity is 22, which of these is the best estimate for the percent of change?
A 25% increase
B 100% increase
C 75% increase
D 50% increase

Answers

d 22-14=8 14-7=7 7 of 14=50% so i think that’s the best estimate

Will give brainliest

Answers

Answer:

I hope someone can help you :)

Step-by-step explanation:

BTW I can't see the image its white for  me :( Sorry

I need help asap pls

Answers

Answer:

[tex]\displaystyle 36° = m∠NQS[/tex]

Step-by-step explanation:

Apply the Midsegment Theorem:

[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]

I am joyous to assist you at any time.

Please help with the right answer 40 points

Answers

Answer:

if i remember is B

Step-by-step explanation:

can someone explain the meaning of surface area and give me an example of it is

Answers

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies. ... Their work led to the development of geometric measure theory, which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.

The surface area of a solid object is a measure of the total area that the surface of the object occupies. ... Their work led to the development of geometric measure theory, which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.

The total area of the surface of a three-dimensional object. Example: the surface area of a cube is the area of all 6 faces added together. See: Area.

please answer this question i will give brainliest!

Answers

It is either a or b I have a strong feeling it is b!!

Answer:

b is the right answer bc all the others r wrong

HELP!!!!!!! Solve the equation |x-1|+3=2

Answers

|x-1| + 3=2
The absolute value of x-1 is x+1

Our new equation: x+1+3=2

X+4=2
Then you have to isolate the variable
X+(-4+4)=(2-4)


Answer: X=-2

13. Which equation has real, rational, and unequal roots?
A) x2 + 10x + 25 = 0 B) 22 – 5x + 4 = 0
C) x2 – 3x +1=0 D) 22 – 2x + 5 = 0
Help

Answers

Answer:

is it 1 question or about four questions

Pls
Help!!!!!
Directions: Find all missing angles.

Answers

Answer:

m<1 = 87°

m<2 = 45°

m<3 = 45°

m<4 = 52°

Step-by-step explanation:

Angle C is a right angle. Therefore, it is 90°. Because line segment BC bisects angle C, the two angles would be 45° since 90 ÷ 2 = 45.

So, angles 2 and 3 equal 45°.

Now that we have two angle measures, we can find the measure of the third angle.

45 + 48 = 93°

180 - 93 = 87°

Angle 1 equals 87°.

45 + 83 = 128°

180 - 128 = 52°

Angle 4 equals 52°.

Hope that helps.

Need a little help with this.

Answers

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

50+2x=20+5x what does the variable x represent in the equation below

Answers

Answer:

x=10

Step-by-step explanation:

[tex]50+2x=20+5x\\\\\mathrm{Subtract\:}50\mathrm{\:from\:both\:sides}\\\\50+2x-50=20+5x-50\\\\Simplify\\\\2x=5x-30\\\\\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}\\\\2x-5x=5x-30-5x\\\\Simplify\\\\-3x=-30\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\\\frac{-3x}{-3}=\frac{-30}{-3}\\\\Simplify\\\\x=10[/tex]

Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?

Answers

Answer:

he downloaded 9 songs and 1 game

Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00

so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.

collect like terms 12m2,- a m, -4m2 ​

Answers

Answer:

Step-by-step explanation:

( 3m + 2) (4m-3)

100 points! Will mark brainliest! Only answer if u know it!

Answers

Answer:

y = - 2x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (- 3, - 4) into the partial equation

- 4 = 6 + c ⇒ c = - 4 - 6 = - 10

y = - 2x - 10 ← equation of perpendicular line

Step-by-step explanation:

Hey there!

The 1st equation is;

y= 1/2 x-8.............(i)

Comparing the equation y= mx+c. We get;

Slope (m1) = 1/2

The equation of point which moves through point (-3,-4).

(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}

(y+4) = m2 (x+3)..………(ii)

Now, we need to find m2.

So, the condition of perpendicular lines: m1*m2= -1.

[tex] \frac{1}{2} \times m2 = - 1[/tex]

[tex]m2 = - 2[/tex]

Therefore, m2 = -2.

So, let's keep value of m2 in eqaution (ii).

y+4 = -2(X+3)

y+4 = -2x-6

y = -2x -10.

Therefore, the eqaution is y= -2x-10.

Hope it helps......

If 24 marbles have a mass of 60g what would be the mass of 60 marbles

Answers

Answer:

300 g

Step-by-step explanation:

First divide the mass of those 12 marbles (60 g) by the number of marbles which have 60 g mass (12 marbles). You'll get  the answer as 5 g , which means 5 g is the mass of 1 marble. Now multiply the answer by 60 (specification of marbles). You'll have the answer as 300 g.

i.e.

60 / 12 = 5

5 x 60 = 300

Jane babysits for $8 per hour. She earned $240 last week. This equation represents the number of hours, h, Jane babysat last week.

Answers

Answer: the equation would be 8h=240

h=30

Step-by-step explanation:

can someone help me and tell me how I got it wrong?

Answers

Answer:

You put i at the end.

Step-by-step explanation:

The correct answer is u^5 remove the i.

Right answer would be u^5 my friend

please answer this question I would highly appreciate it if it was answered or looked on, please

Answers

Answer:

The correct answer would be C

Step-by-step explanation:

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