Angela's aunt is two more than three times her age. The total of their ages is 54. How old is Angela and how old is her aunt?

Answers

Answer 1

Answer:

Angela is 13 years old and Angela's aunt is 41 years old.

Step-by-step explanation:

With the information provided you know that Angela's aunt is two more than three times her age, which could be expressed as:

x=3y+2, where:

x is Angela's aunt age

y is Angela's age

Also, you know that the total of their ages is 54, which is:

x+y=54

Now, you can replace x=3y+2 in x+y=54 and solve for y:

3y+2+y=54

4y=54-2

4y=52

y=52/4

y=13

Finally, you can replace the value of y in x=3y+2 to find x:

x=3(13)+2

x=39+2

x=41

According to this, the answer is that Angela is 13 years old and Angela's aunt is 41 years old.


Related Questions

x/2 + 7 = 12 what color​

Answers

Answer:

Red

Step-by-step explanation:

it is 10

please help me on this

Answers

Answer:

de que grado eres para ayudar

Carl works at a garment factory and sews buttons on shirts. For each shirt he completes that passes inspection, he earns $2. How much does he earn for 54 good shirts? $108 $98 $96 $104

Answers

$108.

54 shirts x $2 = $108

The lengths of two sides of a triangle are given.
Find the range of possible lengths for the third side. 17 cm and 12 cm

Answers

Answer:

Range = 5 - 29

Step-by-step explanation:

a + b > c

a+c > b

c+b > a  

so

17+ 12 > c  ,,,,,,,,,,,,,,,,,,,,,,,,,,,, so it should be lesser than 17+12 which is 29

17 +c > 12    ,,,,,,,,,,,,,,,,,,,,,,,,, and it should be greater than 17- 12 = 5  

c+12 > 17 ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, same here,  it should be greater than 17- 12 = 5  

So the range is ,

17 + 12

to

17-12

whcih is -   (5 to 29)

I hope I am right!!!

Emily bought a pack of 5 folders for $15.30. What was the unit price?

Answers

Answer:

The unit price is $3.06

Step-by-step explanation:

Unit price is how much I unit of something costs. Therefore in order to find the unit price you just divide the total price by the number of units (in our case 5 folders). And so we get...

$15.30 / 5 = $3.06

The unit price is $3.06

Simplify:
4n + 6 - (5n+3)

Answers

Answer:

-n+3

Step-by-step explanation:

Subtract the 5n and 3

Evaluate the function
f (x) = 1/2 x + 3
for f(4).
a.
5
b.
9
c.
11
d.
14

Answers

Answer:

a

Step-by-step explanation:

To evaluate f(4), substitute x = 4 into f(x), that is

f(4) = [tex]\frac{1}{2}[/tex] × 4 + 3 = 2 + 3 = 5

Answer is 5 so A would be correct
f(x)= 1/2 (4)+3=5

The Sumerians used rubber stamps to show ownership of objects.
True Or false

Answers

Answer:

I think False not sure

Step-by-step explanation:

the answer is false

A can of soup has a diameter of 2.5 inches and a height of 4 inches. What is the area of the label for the can? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Diameter d = 2.5 inches

Height h = 4 inches

Lateral area = πdh =π(2.5)(4) = 10π ≈ 31.4 square inches

1. (07.03 MC)
Solve -+
2 2.
5 7
- (4 points)
35
0 24
7

Answers

6.5 iiiiiiiiiiiiiiiiiiiiiiiiiiiiii

what's the slope (-4,15). (20,3)

Answers

Answer:

M=-1/2

Step-by-step explanation:

Answer: -1/2
Have a nice day!

Solve to get points!
10−8(−7y−4)

Answers

Answer:

5 6 + 4 2

Step-by-step explanation:

1 0 − 8 ( − 7 - 4 )

1 0 + 5 6 + 3 2

1 0 + 5 6 + 3 2

4 2 + 5 6

4 2 + 5 6

5 6 +42

Write the first 6 terms of the arithmetic sequence whose first term is 8 and has a common difference of 2

Answers

Answer: The first 6 terms are = 8, 10, 12,14,16,18

Step-by-step explanation:

The NTH term of an Arithmetic Sequence is given as

an = a1 + (n - 1 ) d

where a1 = First term  given as 8 and

d=  common difference given as 2

Therefore  We have that

the first term

an = a1 + (n - 1 ) d = 8+(1-1) 2

a1= 8

second term=

an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2

= 8+ 2(1) = 10

3rd term

an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2

= 8+ 2(2)= 8 + 4=12

4th term

an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2

= 8+ 2(3)= 8+6=14

5th term

an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2

= 8+ 2(4)=8+ 8=16

6th term

an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2

= 8+ 2(5)=8 +10 =18

Pls help me no explain need ❤️❤️❤️

Answers

Answer:

[tex]\displaystyle m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-5, 0)

Point (-9, -8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{-8-0}{-9+5}[/tex][Fraction] Subtract/Add:                                                                                 [tex]\displaystyle m=\frac{-8}{-4}[/tex][Fraction] Divide:                                                                                            [tex]\displaystyle m=2[/tex]

Help me plsss!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

The football team had a fundraiser . They received $1588.50 from the sale of 110 shirts and hats . shirts sold for 14.95 each. hats sold for 12.95 each . how many hats did they sell

Answers

Answer:

28 hats

Step-by-step explanation:

We can solve this using a system of equations:

14.95s + 12.95h = 1588.50

s + h = 110

Let's isolate the shirt variable in the second equation:

s + h = 110

s = -h + 110

Now that we have isolated s we can plug it back into the first equation:

14.95(-h + 110) + 12.95h = 1588.50

Solve for h

-14.95h + 1644.5 + 12.95h = 1588.50

-2h + 1644.5 = 1588.50

-2h = -56

h = 28

The football team sold a total of 28 hats.

Hope this helps!!

- Kay :)

The number of hats did they sell should be considered as the 28 hats when the received amount is given.

Calculation of the number of hats:

Since

The football team had a fundraiser .

They received $1588.50 from the sale of 110 shirts and hats .

shirts sold for 14.95 each. hats sold for 12.95 each .

So, the following equations are applied

14.95s + 12.95h = 1588.50

s + h = 110

We can write like

s = -h + 110

Now

14.95(-h + 110) + 12.95h = 1588.50

-14.95h + 1644.5 + 12.95h = 1588.50

-2h + 1644.5 = 1588.50

-2h = -56

h = 28

Hence, The football team sold a total of 28 hats.

learn more about number here: https://brainly.com/question/13855163

hello. please answer this question, I WILL mark brainliest :)

Answers

Answer:

1. D) 0.113

2 C) 11

Step-by-step explanation:

1. #males that chose super strength/total males

  [tex]\frac{25}{222}[/tex]= 0.113

2. the relative frequency can be converted to a percent which is 11.3%

   given that a percent is out of 100, the expected number would be 11

Simplify the expression by combining like terms

34 -11c-7+2c

Answers

27-9c

Please give Brainliest !!

The triangles are similar . What is the value of X

Answers

Answer:

16

Step-by-step explanation:

There are 2 different ways to solve this

1) The bigger triangle is 4 times bigger than the smaller one

5 x 4 = 20

3 x 4 = 12

From this method you can see they all connect so you take the smaller triangles value of 4 and multiply it by 4

4 x 4 = 16

2) Pythagorean theorem and reorganizing the formula so that the a value is found

[tex]a = \sqrt{c^{2} -b^{2} }[/tex]

If 25 pencils cost $3.00, what is the cost of 15 pencil?

Answers

Answer:

125

Step-by-step explanation:

25/3 = 8.333

15×8.333 = 124.99

Please help me out asap. I rlly need it

Answers

13.64
Pythagorus thereom

Answer:

13.64

Step-by-step explanation:

it's because it's basically the same size as 12.3 but a bit bigger. it cant be 18.2 because that would be too big and it cant be 6.4 cause its too small and so is 10.79.

Need help pls.
B is a boat on a bearing of 60degrees what is the nearing from A to B.

Answers

Answer:

Step-by-step explanation:

the bearing of A from B is 065º. ... A boat sails from a

Find the midpoint of the line segment with end coordinates of:
(
4
,

8
)
and
(

4
,
2
). Help

Answers

The coordinates appear kinda wonky on my screen but are these the correct coordinates? (4,-8) and (-4,2)

What you will need is the mid-point formula.

The midpoint formula is:

(x1 + x2)/2, (y1 + y2)/2

x1 = 4, x2 = -4, y1 = -8, y2 = 2

We just need to plug in the known values and solve

(4 + -4)/2, (-8+2)/2

0/2, -6/2

(0,-3)

The answer is (0,-3)

Hope this helps!

x + 5/6 = 2 2/3 CAN YOU GUYS PLS TELL ME WHAT IS X?????

Answers

Make that mixed fraction and improper fraction then find the GCF
The answer would be X= 11/6 or 1 5/6

2 2/3-5/6=11/6 or 1 5/6

Hope this helps

Have a great day/night

Drop it (the answer) like its hotttttttttttt

Answers

adopt me try hard, get off this platform

Answer:

A=7 1/3 < 7.663

Step-by-step explanation:

A=7 1/3 <7.663

Please help :)
If it's correct I might give your brainliest

Answers

$1.05 total in toppings

the algebraic expression 2x -4 when x=8 is evaluated as

Answers

Answer:

12

Step-by-step explanation:

2x-4

Subsitute x for 8 2(8)-4

Simply 16-4

12

Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?


construct the incenter

construct the orthocenter

estimate the best place

construct the circumcenter

Answers

Answer: D) construct the circumcenter

===========================================================

Explanation:

Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.

This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.

To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.

-------------

Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.

In BCD, H is the centroid. If DE=51 find HE.

Answers

Answer:

[tex]HE=17[/tex] units.

Step-by-step explanation:

In a triangle, centroid is the intersecting point of the medians.

Centroid divides each of the medians in ratio [tex]2:1[/tex]

So,

[tex]\frac{DH}{HE}=\frac{2}{1} \\\\\frac{DH}{HE}+1=\frac{2}{1}+1\\\\ \frac{DH+HE}{HE} =3\\\\\frac{DE}{HE}=3[/tex]

Put [tex]DE=51[/tex] units

[tex]\frac{51}{HE}=3\\\\HE=\frac{51}{3}[/tex]

[tex]HE=17[/tex] units.

Solve each equation by
20 - 2x - 11

Answers

Answer

9 - 2x

Step-by-step explanation:

since there is no equal symbol in this equation, you can only simplify it.

[tex]20-2x-11[/tex]

first combine like terms:

[tex](20-11)-2x[/tex]

then subtract 11 from 20, this will give you 20-2x-11 in its simplest form.

[tex]9 - 2x\\[/tex]

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