Answers
Answer:
[tex]\large\boxed{\tt x = 444.}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]
[tex]\textsf{Note that our goal is to leave x alone on the left side of the equation. In order}[/tex]
[tex]\textsf{to do so we will need to use the \underline{Properties of Equality}.}[/tex]
[tex]\large\underline{\textsf{What are the Properties of Equality?}}[/tex]
[tex]\textsf{Properties of Equality are 9 Properties that allows us to manipulate equations}[/tex]
[tex]\textsf{to, commonly find unknown variables or to determine if equations are true.}[/tex]
[tex]\textsf{For our problem, we will be using 2 out of 9 of these properties as we need to}[/tex]
[tex]\textsf{isolate x, and make sure x is 1x.}[/tex]
[tex]\large\underline{\textsf{Solving for x;}}[/tex]
[tex]\tt \frac{1}{2} x-41=181[/tex]
[tex]\textsf{Let's first use the Addition Property of Equality where the equation will be equal}[/tex]
[tex]\textsf{if we add the same number to both sides of the equation. Let's start by adding}[/tex]
[tex]\textsf{41 to both sides of the equation.}[/tex]
[tex]\tt \frac{1}{2} x-41+41=181+41[/tex]
[tex]\tt \frac{1}{2} x = 222[/tex]
[tex]\textsf{Next, let's use the Multiplication Property of Equality where the equation is}[/tex]
[tex]\textsf{equal if we multiply the same number to both sides of the equation. Let's}[/tex]
[tex]\textsf{multiply 2 to both sides of the equation to cancel out} \ \tt \frac{1}{2} .[/tex]
[tex]\tt 2 \times \frac{1}{2} x = 222 \times 2[/tex]
[tex]\large\boxed{\tt x = 444.}[/tex]
Related Questions
what is 3456 x 3 hundreds
Answers
Answer:
3456 × 300 is equal to 1036800.
Answer:
1036800 right or did i miss read the question?
Step-by-step explanation:
Rebecca needs a box with a rectangular base of 36 cm2 and a volume of 180 cm3. What would be the height of this box? O A. 45 cm B. 30 cm C. 20 cm D. 15 cm E. 5 cm
Answers
Answer:
Volume of box V = 180 cm^3
Base area of box A = 36 cm^2
Height = h
Volume = base area × height
height = volume/base area
h = V/A
Substituting the values;
h = (180cm^3)/(36cm^2)
Height h = 5 cm
Step-by-step explanation:
The area of the rectangle shown below is 36 square units. Set up and solve an equation to find the value of x
Answers
Answer:
x = 3 is the answer :)
hope this helps
Umm ... NO FILES/LINKS !!!
Answers
x=?
Please help y’all
Answers
Answer:
35
Step-by-step explanation:
i believe it is 35 degree at is directly opposite to a 35 degree angle
answer: since it’s a vertical line the number is the same as the one on the other side.
FREE BRAINLEST.
The ______ number in an ordered pair is the y-coordinate and corresponds to a number of the ______.
Answers
Answer:
The second number in an ordered pair is the y-coordinate and corresponds to a number on the y-axis.
Step-by-step explanation:
hope this helps you! :)
The second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.
What is Coordinate System?a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
An ordered pair contains the coordinates of one point in the coordinate system.
A point is named by its ordered pair of the form of (x, y).
In an order pair the first number represents the x coordinate and the second number represents the y coordinate.
To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Hence, the second number in an ordered pair is the y-coordinate and corresponds to a number of the y axis.
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Find the area of the figure.
2 cm
3 cm
6 cm
12 cm
Answers
Answer:
66 cm^2
Step-by-step explanation:
12*6=72 cm^2 and to find the missing pience of the rectangle you multiply 3*2= 6 cm^2.
72 - 6 = 66
jess travels 5 miles to school and pam travels 10 km. Who travels further? plz help i got 2 minutes ti answer
Answers
Answer:
pam
Step-by-step explanation:
10k is over 6 miles
F(x)=-x^2+8x-2 what is the range of the function?
Answers
Answer:
Range: ( − ∞ , 14 ]
Step-by-step explanation:
Find the 12th term of the geometric sequence 8, 16, 32, ...8,16,32,...
Answers
Answer:
this is the ans
Step-by-step explanation:
hope it helps!!!
Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...
Answers
Given:
The explicit function is:
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]
To find:
[tex]f(1)=?,r=?[/tex] and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
[tex]f(n)=ar^{n-1}[/tex] ...(i)
Where, a is the first term and r is the common ratio.
We have,
[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=1000[/tex]
[tex]f(1)=1000[/tex]
And,
[tex]r=\dfrac{1}{4}[/tex]
For [tex]n=1[/tex],
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]
[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]
[tex]f(1)=1000(1)[/tex]
[tex]f(1)=1000[/tex]
For [tex]n=2[/tex],
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]
[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]
[tex]f(2)=1000\times \dfrac{1}{4}[/tex]
[tex]f(2)=250[/tex]
Similarly, substituting [tex]n=3,4,5[/tex], we get
[tex]f(3)=62.5[/tex]
[tex]f(4)=15.625[/tex]
[tex]f(5)=3.90625[/tex]
Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].
Given:
The explicit function is:
To find:
and first 5 terms.
Solution:
The explicit formula a geometric sequence is:
...(i)
Where, a is the first term and r is the common ratio.
We have,
...(ii)
On comparing (i) and (ii), we get
And,
For ,
For ,
Similarly, substituting , we get
Therefore, and the first five terms are .
Jayda is buying notebooks for school the cost of each notebook is $1.75 write an equation that shows the cost of Jada's notebook C in terms of the other notebooks N that she buys
Answers
Answer:
1.75*C=N
Step-by-step explanation:
N=Notebooks
C=Cost
N= 4
I NEED HELP ASAPP!!
Jefferson is working on a planting a garden and set up a coordinate system with units of feet to mark where he wants to plant vegetables. He plants carrots at (–4, 4) and at beans at (4, –2). How far apart are the carrots and beans?
Answers
Answer:
They are 6 feet apart.
Step-by-step explanation:
d = (√(x2-x1)^2 + (y2-y1)^2)
d = (√(-4-4)^2 + (4-(-2))^2)
d = (√0 + 36)
d = √36
d = 6
A brick wall will be shaped like a rectangular prism. The wall needs to be 3ft tall and the builders have enough bricks for the wall to have a volume of 330 cubic feet. What tool can be used to find possible dimensions for the base of the wall?
Answers
Answer:
For a rectangular prism that has a base area B, and a height H, the volume is:
V = B*H
This is the only "tool" that we need to use in this situation.
We know that the wall needs to be 3ft tall, then H = 3ft
And we also know that we have enough bricks for a wall of a volume:
V = 330 ft^3
If we replace these two in the volume equation, we get:
330ft^3 = B*3ft
Now we can solve this for B, and thus find the volume of the base of the wall.
To do it, we just need to divide both sides by 3ft
(330 ft^3)/3ft = B*3ft/3ft
110 ft^2 = B
This means that the area of the base is 110ft^2
As the base is a rectangle of width W and length L, we must have:
110ft^2 = B = L*W
Then the possible measures of the base are given by the linear relation:
L = 110ft^2/W
Where we also need to add some trivial restrictions, like:
L > 0 ft
W > 0ft
This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.
I need help ASAP!!
The height of a right pyramid with a square base is 4 feet. The length of a side of the
base of the pyramid is 6 feet. What is the slant height, s, of the pyramid?
Answers
Answer:
i think its 6
Step-by-step explanation:
i dont know for sure
Find the value of x. 5x+33+17x+37
Answers
*X can not be found, only simplified or factored)
5x+33+17x+37
Add the x units
22x+33+37
Add the 33 and 37
22x + 70
Subtract 77 to the other side
Simplify: 22x = -70
Factor: 2(11x+35)
A health-food store owner buys new products for his store by borrowing against a credit line of $4,500 from one of his wholesale suppliers. He is usually given 9 months to pay the money back. The store owner borrows the full amount and is told by the supplier that his monthly payments will be $600 a. How much did the distributor pay back altogether? How much in interest did the distributor pay for the loan?
Answers
Answer:
Loan Amount= $4500
Monthly Payment= $600
9 months= $600*9= $5400
Interest = $5400-$4500= $900
A company’s board of directors took a random sample of 10% of the company’s employees and surveyed them about their happiness at work. What would most likely happen if they decided to randomly sample 15% of the company’s employees instead?
A. The sample mean would more closely model the population mean.
B. The sample mean would not be affected.
C. There is not enough information to determine how the sample mean would be affected.
D. The sample mean would less closely model the population mean.
Answers
Answer:
The sample mean would more closely model the population mean.
Step-by-step explanation:
Pls answer this I need this in 5 mins
Answers
Answer:
x=17
Step-by-step explanation:
3x+5+2x=90
5x=85
x=17
Answer:
x=17
Step-by-step explanation:
that is the answer .
helpppppppp pleaseeeeee
Answers
Answer:
7a + b - 16c
Step-by-step explanation:
So we have
7a-3b+c-8c+4b-9c
When it comes to problem like these, you need to combine like terms.
There's only one 'a' number, so that one remains the same.
Next, we have -3b and 4b. (-3b+4b)= b
Finally, there's (c-8c-9c).
(-8c-9c)= -17c
Take that and add the positive 'c' to it.
(-17c+c)= -16c
Put it all together now to get:
7a + b - 16c
I hope that helped and helped you understand at least a little
:)
What shape is figure b?
Figure a is a half sphere and figure b is a cylinder.
cylinder
sphere
half sphere
cone
Answers
The solution is, Figure a is a half sphere and figure b is a cylinder.
What is shape?In geometry, a shape can be defined as the form of an object or its outline, outer boundary or outer surface. Everything we see in the world around us has a shape.
here, we have,
from the given figure, we have,
the given shape has two parts,
the upper half is a half sphere.
Hemisphere includes the prefix hemi-, meaning "half". The northern and southern hemispheres are divided by the equator, the circle halfway between Earth's two poles. The eastern and western hemispheres aren't divided so exactly, since there are no poles in the Earth's east-west dimension.
and, the part b is a cylinder.
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Hence, The solution is, Figure a is a half sphere and figure b is a cylinder.
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i need help. this is due tomorrow. i need the equation and solve for x
Answers
Answer:
equation: 120=2(x+32)
x=28
Step-by-step explanation:
Simply the following expression: 2p x 3r x 5p
Answers
Answer:
10p squared ×3r
Step-by-step explanation:
2p ×3r×5p
group like terms
2p×5p×3r
10p squared × 3r
help, it is due at 5 pm and it is 4:53
Answers
Answer:
Omg where is it then
Step-by-step explanation:
upload image attachment
need help with this !!!
Answers
Answer:
(5,20)
Step-by-step explanation:
x = 5
y = 20
PLEASE HELP WITH THIS MATH EQUATION AND HELP ME HOW TO SOLVE ITTT
Answers
Answer: points (2,6) represent the point of intersection where two lines meet
Step-by-step explanation:
The lines meet at that point
Keion is calculating his expenses from his work trip to San Francisco. Below is the expense log he kept while traveling.
Expense Amount of Expense
Airfare $379.00 round trip minus $15.00 movie on plane
Hotel $154.00 per night × 3 nights
Dinner $65.00 plus $13.00 tip
Car Mileage $0.55 per mile × 63 miles
Keion will submit all of the expenses to his company for reimbursement except for the movie on the plane. How much will he be reimbursed for?
A
$784.65
B
$923.65
C
$925.65
D
$938.65
Answers
Answer:
D
Step-by-step explanation:
379.00 - 15.00 + 154.00 x 3 + 65.00 + 13.00 = 904
0.55 x 63 = 34.65
34.65 + 904 = 938.65
Answer:
Your answer is D
Step-by-step explanation:
because 379-15+154x3+65+13+0.55x63=938.65
What is the answer to this question?
Answers
Answer:
$608.33 or $608.32645 not rounded
Step-by-step explanation:
A=P(1+r/n)^nt P=500 r=0.04 n=1 t=5
A=500(1+0.04/1)^1x5
A=500(1.04)^5
A=500(1.2166529)
A=608.32645
David's earnings recently changed from $5500 to $6325. By what percent did the earnings change?
Answers
Answer: In percentage, the answer is 115%
Step-by-step explanation: if you want to find the rise, just simply divide 5500 from 6325, or 6325/5500. You will get 1.15 but converted to percentage, that is 115%
Which shapes make up this composite figure?
A cylinder and 2 half spheres.
a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder
Answers
Answer:
A cylinder and 2 half spheres
Step-by-step explanation:
Using my eyes, I see 1 cylinder and 2 half spheres at the ends of the cylinder.
The shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.
Option A) A cylinder and 2 half spheres is the correct answer.
What is a cylinder and a hemisphere?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
A hemisphere is gotten when a sphere is cut into two equal halves. It is half of a shere.
From the Image, one can see that a cylinder and two hemispheres combined to form the composite figure.
Hence, the shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.
Option A) A cylinder and 2 half spheres is the correct answer.
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