Answer:
n = -4
Step-by-step explanation:
[tex]2-\frac{1}{2} n=3n+16[/tex]
We want to solve for n, so let's get n on one side of the equation.
Add [tex]\frac{1}{2} n[/tex] to both sides.
2 = 3.5n + 16
Subtract 16 from both sides.
-14 = 3.5n
Divide both sides by 3.5
-4 = n
Check your answer by plugging n back into the original equation.
[tex]2-\frac{1}{2} n=3n+16[/tex]
[tex]2-\frac{1}{2} (-4)=3(-4)+16[/tex]
Multiply.
2 + 2 = -12 + 16
Add.
4 = 4
Your answer is correct.
Hope this helps!
Complete the function table below function
f(x) = 6x -3
the perimeter of a rectangle is 24 cm. if the length is y cm, what is the width?
10x = 2x -8 what is this answer
Answer:
x=-1
Step-by-step explanation:
Answer:
10x = 2x -8
-2x -2x
8x = -8
divide by 8
x = -1
Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
A - Eric rode 222 more miles per week than Kim rode.
B - Kim rode 333 more miles per week than Eric rode.
C - Kim rode 111111 more miles per week than Eric rode.
D - Eric rode 171717 more miles per week than Kim rode.
Answer:
Eric rode 2 more miles per week than Kim rode.
Step-by-step explanation:
Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:
135/9
= 15
Find how many miles per week Eric rode:
102/6
= 17
So, Kim rode 15 miles per week and Eric rode 17 miles per week.
The answer is Eric rode 2 more miles per week than Kim rode.
Answer:
A.
Step-by-step explanation:
Read the part of a letter. Dear Nana, I am so glad you came to our house for dinner on Sunday, and I appreciate your kind birthday wishes. I love the journal you gave me, and I will treasure it. Every night, I have been recording my thoughts. What describes the type and purpose of this letter? It is a friendly letter written to express thanks. It is a business letter written to offer information. It is a persuasive letter written to suggest a change. It is a friendly letter written to make future plans.
Answer:
Step-by-step explanation:
A
What is the value of xin the diagram?
A. 9
B. 8
C. 7
D. 6
Answer:
7
Step-by-step explanation:
The ratio of the similar triangles is
14 49
---- = ------
2 x
Using cross products
14x = 2*49
14x = 98
Divide by 14
14x/14 = 98/7
x =7
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
x × [tex]\sqrt{3}[/tex] = 8 ( divide both sides by [tex]\sqrt{3}[/tex] )
x = [tex]\frac{8}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising the denominator )
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
5. A 50-inch piece of wire is bent into the shape of a rectangle. Find the dimensions of the rectangle
of maximum area that can be formed from the wire,
Answer:
length = 12.5 in, width = 12.5 in, Area = 156.25 in²
Step-by-step explanation:
To get the maximum area, the wire can be shaped into a square. We can say that the length and width of the rectangle must be equal to each other, and call this value "x".
Therefore, we can write an equation for the perimeter:
2x + 2x = 50 4x = 50 x = 12.5The area of the rectangle is calculated using the formula:
A = lwOr in our case, the area of the rectangle is the area of a square:
A = x²Substitute x = 12.5 into this equation.
A = (12.5)² A = 156.25The maximum area that can be formed from the wire is 156.25 in², and the dimensions of the rectangle are 12.5 x 12.5 in.
What is the perimeter of the rectangle? L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwWmJyVDFqTFkzLXZ2RUFuT1lPWVJPbWl0N0JKUVhrVnZZbnVOQ19tOGgtNmwwQm12SkdMcDVnOU1aLWVoNUV6UURRcC1GZHFqTE42NWVMdGNsazl6Y0FPc0RaS1RDV0E5XzRCeW5RT3Z4MjRMLXdscy4wcUhHUHlaNlREN0dYWVAt?W=400&h=400 a 20 units b 18 units c 24 units d 22 units
Answer:
just do 400 times 400 witch is 1600
Step-by-step explanation:
Please help me, I need help
Answer:
x:5⁰
y:52⁰
Step-by-step explanation:
triangle:180⁰
the triangleis isoceles triangle so y:52⁰
so B is 72⁰
(14x+6)⁰=(14(5)+6)⁰=72⁰
HELP PLEASE QUICKLY!!! NO LINKS PLSS!!
1. The garden of the hotel has a certain shape as seen in the figure below. Teresa wants to plant roses in that garden The diagram shows the shape and dimensions of Teresa’s rose garden.
a. Find the area of the garden.
b. Teresa wants to buy mulch for her garden. One bag of mulch covers 12 square feet. How many bags will she need?
Mitch ate dinner at a restaurant. The bill came to $82. If he left an 18% tip, how much was the tip?
Answer:
14.76
Step-by-step explanation:
82 x .18 = 14 76 tip
Luigi is an urban planner. As an independent contractor, he charges $140 fee plus $25 per hour for each contract with the city. Write an equation that represents this scenario where y represents the total amount he charges for a project and x represents the number of hours worked on a project.
A. x = 25y + 140
B. x = 140y + 25
C. y = 140x + 25
D. y = 25x + 140
HELP ON THIS PLEASE GUYS :(
you have a brain, do it yourself
Find the 9th term of the geometric sequence show below
-9x^4,27x^5,-81x^6
Answer:
Scale factor is -3
so,
243x^7
-729x^8
2187^9
Combine like terms 3x+8b+7x+11+6b=
Answer:
10x+14b+11
Step-by-step explanation:
3x+8b+7x+11+6b
3x+7x+8b+6b+11 = Regroup them
10x+14b+11 = Combine like terms
The requried, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
To combine like terms 3x+8b+7x+11+6b, we can add the coefficients of x, add the coefficients of b, and add the constant terms. So we have:
3x + 8b + 7x + 11 + 6b = (3x + 7x) + (8b + 6b) + 11
Combining the like terms:
= 10x + 14b + 11
Therefore, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.
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A container of water is heated to 100°C. At this temperature, what will happen to the water
Answer: The water will start to boil.
Step-by-step explanation: Water boils at 100 C.
Answer:
I will boil I hope this answer was good!
please help me if you can thank you.
Answer:
X. 120 Y. 30 Z. 36.5
Step-by-step explanation:
X. 360-107-133= 120
Y. Length of AB is equal to 120, so angles y and C are equal to 60. 60/2= 30
Z. 133+ 30= 163. 180-163= 17. Angle A and Z equal to 53.5. 53.5-17= 36.5
Prove
that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).
Answer:
Proved
Step-by-step explanation:
Given
[tex]B =(-2,-1)[/tex]
[tex]U = (0,3)[/tex]
[tex]G = (3,2)[/tex]
[tex]S = (4,-3)[/tex]
Required
Prove BUGS is a trapezoid
Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.
Taking BU and GS as a pair
First, we calculate the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For BU
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3 - -1}{0- -2}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
For GS
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3-2}{4-3}[/tex]
[tex]m = \frac{-5}{1}[/tex]
[tex]m = -5[/tex]
The slope of BU and GS are not the same; hence, they are not parallel.
Taking BS and GU as a pair
Calculate the slope
For BS
[tex]B =(-2,-1)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]S = (4,-3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{-3 - -1}{4- -2}[/tex]
[tex]m = \frac{-2}{6}[/tex]
[tex]m = -\frac{1}{3}[/tex]
For GU
[tex]G = (3,2)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]U = (0,3)[/tex] --- [tex](x_2,y_2)[/tex]
So, we have:
[tex]m = \frac{3-2}{0-3}[/tex]
[tex]m = \frac{1}{-3}[/tex]
[tex]m = -\frac{1}{3}[/tex]
The slope of BS and GU are the same; hence, they are parallel.
BUGS is a trapezoid because BS and GU have the same slope
The record high temperature is 124 F the record low temperature for the same state is -8. What is the range integer? (Write and solve equation)
Answer:
132
Step-by-step explanation:
The range is the highest tempreature minus the lowest so
124--8
=124+8
=132
A circle with an area of 8pi square centimeters is dilated so that its image has an area
of 32pi square centimeters. What is the scale factor of the dilation?
A.2
B. 4
C. 8
D. 16
Answer:
scale factor = length of image
corresponding length of object
= 32
8
= 4
The scale factor of the dilation of the given object is 4.
What is scale factor of dilation?The scale factor of dilation of an object is determined by taking the ratio of image length to corresponding object length.
The scale factor of the dilation of the object is calculated as follows;
[tex]S.D = \frac{32\pi \ cm^2}{8\pi \ cm^2} \\\\S.D = 4[/tex]
Thus, the scale factor of the dilation of the given object is 4.
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A circular flower bed is 24 m in diameter and has a circular sidewalk around it 3 m wide. Find the area of the sidewalk in square meters
Answer:
120.105m^2
Step-by-step explanation:
Given data
Diameter of circular bed= 24+3m = 27m
radius= 27/2= 13.5 m
Diameter of side walk = 12
radius= 24= 12 m
Hence the area of the sidewalk is
Area= area of circular bed- area of side walk
Area=πR^2-πr^2
Area=π(R^2-r^2)
Area=π(13.5^2-12^2)
Area= 3.14(182.25-144)
Area= 3.14(38.25)
Area=120.105m^2
Hence the area of the side walk is 120.105m^2
Ava and Taha are staring up at a UFO. Ava is directly east of the UFO and Taha is directly west. Ava is 205 feet from the UFO and Taha is 195 feet from the UFO. Ava and Taha are 166 feet from each other. Find Ava's angle of elevation to the UFO in degrees.
Answer:
49.59°
Step-by-step explanation:
Using trigonometry, we can obtain AVA's angle of elevation to UFO
Using the relation :
Tanθ = opposite / Adjacent
Tan θ = 195 / 166
θ = tan⁻¹(195÷166)
= 49.59°
ILL MARK YOU BRAINLEIST.
Finish each equation so that it has the correct solution or type of solutions:
3x + 4 = ______ no solutions
3x + 4 = ______ infinite solutions
3x + 4 = ______ solution is x = 4
3x + 4 = ______ solution is x = -3
3x + 4 = ______ solution is x = 1/2
Answer:
0
x
16
-5
5.5
Step-by-step explanation:
find the value of x for mAB=34 and mCD=25 (The figure is not drawn to scale.)
Multiple choice :
59
9
29.5
46.5
==============================================
Explanation:
Add up the arc measures and divide by 2 to get the angle formed by the two chords.
angle AOB = (arc AB + arc CD)/2
angle AOB = (34 + 25)/2
angle AOB = 59/2
angle AOB = 29.5 degrees
What is the equation of the function?
y= (3)
y= 2(3)
y=2)
y=3(3)
Answer:
it has to be the 4 one I did this question before
Please evaluate the expression below. Select the answer with BOTH correct answers (the product in standard form and the product in Scientific Notation). (8.08×106)×(7.5×10−2) A) 60,600;6.06×10^5 B) 60,600;60.6×10^4 C) 606,000;6.06×10^5 D) 606,000;60.6×10^4
Answer:
Standard form = 606000
Scientific notation = 6.06*10^5
Step-by-step explanation:
Given the expression
(8.08×106)×(7.5×10−2)
This can also be expressed as;
(8.08*7.5) * (10^6*10^-2)
= 60.6*10^4
= 606000
express in scientific form;
606000
= 60.6*10^4
= 6.06*10^1*10^4
= 6.06 * 10^5
What is the volume of the rectangular prism?
Height : 10 1/2 in.
Width : 2 3/4 in.
Length : 5 in.
Answer:
Step-by-step explanation:
volume=10 1/2 ×2 3/4 ×5
=21/2×11/4×5=1155/8=144 3/8 cubic inch
Please help me I’m stuck
Answer:
[tex]x = 3.7[/tex]
Step-by-step explanation:
We can find the side of the hypotenuse by applying pythagorean theorem.
[tex] {5}^{2} + {5}^{2} = {x}^{2} [/tex]
[tex]25 + 25 = {x}^{2} [/tex]
[tex]50 = {x}^{2} [/tex]
[tex]x = 5 \sqrt{2} [/tex]
Now we can apply pythagorean theorem on the other triangle
[tex](5 \sqrt{2} ) {}^{2} + {x}^{2} = {8}^{2} [/tex]
[tex]50 + {x}^{2} = 64[/tex]
[tex] {x}^{2} = 14[/tex]
[tex]x = \sqrt{14} [/tex]
[tex]x = 3.7[/tex]
Answer:
Step-by-step explanation:
use Pythagoras's theorem to find the hypontenuse of the isosceles triangle on the right side.
hyp = sqrt [ 5^2 + 5^2 ]
hyp = sqrt [ 50 ]
hyp = 7.0710678
now we know the adjacent side of the triangle on the left , since it's the same as the hypotenuse of the triangle on the right.
SOH CAH TOA ( to remember how the trig funct. fit on triangles)
CAH Cos(Ф) = adj / hyp
cos(Ф) = 7.0710678 / 8
Ф = arcCos( 7.0710678 / 8 )
Ф = 27.8855668°
TOA Tan(Ф) = x / 7.0710678
Tan( 27.8855668° ) = x / 7.0710678
7.0710678 * Tan( 27.8855668° ) = x
3.741657 = x
x = 3.7 ( to the nearest 10th )
What are the coordinates of vertex D to complete the square ABCD?
les -)
A)
(3,6)
B)
(4,7)
C)
(7,3)
D
(7,4)
Where the above is square, the coordinates are: (4, 7). This is obtained by simply tracing the A-D in equal distance with B and C.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
A coordinate system is a framework for specifying the relative positions of objects in a specific region, such as an area on the earth's surface or the whole earth's surface. A geographic coordinate system determines locations on the world by using a three-dimensional spherical surface.
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