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.
Emily bought a pack of 5 folders for $15.30. What was the unit price?
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 Sumerians used rubber stamps to show ownership of objects.
True Or false
Answer:
I think False not sure
Step-by-step explanation:
x + 5/6 = 2 2/3 CAN YOU GUYS PLS TELL ME WHAT IS X?????
please help me on this
Answer:
de que grado eres para ayudar
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
===========================================================
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.
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
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
Please help :)
If it's correct I might give your brainliest
Find the midpoint of the line segment with end coordinates of:
(
4
,
−
8
)
and
(
−
4
,
2
). Help
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!
Simplify the expression by combining like terms
34 -11c-7+2c
the algebraic expression 2x -4 when x=8 is evaluated as
Answer:
12
Step-by-step explanation:
2x-4
Subsitute x for 8 2(8)-4
Simply 16-4
12
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
Please help me out asap. I rlly need it
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.
Evaluate the function
f (x) = 1/2 x + 3
for f(4).
a.
5
b.
9
c.
11
d.
14
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
Write the first 6 terms of the arithmetic sequence whose first term is 8 and has a common difference of 2
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
Help me plsss!!!!!!!!!
Answer:
B
Step-by-step explanation:
If 25 pencils cost $3.00, what is the cost of 15 pencil?
Answer:
125
Step-by-step explanation:
25/3 = 8.333
15×8.333 = 124.99
what's the slope (-4,15). (20,3)
Answer:
M=-1/2
Step-by-step explanation:
The triangles are similar . What is the value of X
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]
Solve to get points!
10−8(−7y−4)
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
Solve each equation by
20 - 2x - 11
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]
x/2 + 7 = 12 what color
Answer:
Red
Step-by-step explanation:
it is 10
hello. please answer this question, I WILL mark brainliest :)
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
Pls help me no explain need ❤️❤️❤️
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 RightAlgebra 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]Need help pls.
B is a boat on a bearing of 60degrees what is the nearing from A to B.
Answer:
Step-by-step explanation:
the bearing of A from B is 065º. ... A boat sails from a
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.
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
Simplify:
4n + 6 - (5n+3)
Answer:
-n+3
Step-by-step explanation:
Subtract the 5n and 3
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
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!!!
Drop it (the answer) like its hotttttttttttt
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
1. (07.03 MC)
Solve -+
2 2.
5 7
- (4 points)
35
0 24
7
In BCD, H is the centroid. If DE=51 find HE.
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.