Answer:
4x+12
Step-by-step explanation:
4(x+3)=4x+12.
You use the distributive property by multiplying both numbers in the parentheses by 4
Answer:
4x +12
Step-by-step explanation:
Distributive property: a*(b + c) = (a *b)+(a *c)
Here, a = 4 ; b = x and c = 3
4*(x + 3) = 4*x + 4*3
= 4x + 12
What is the value of the following expression?
23 + 5 • (10 - 9) - 12
Answer:
16
Step-by-step explanation:
Use the method of PEMDAS (Parenthesis, Exponent, multiplication, division, addition and then subtraction.)
When using this order you would do 10-9 first
23 + 5 * (10-9) - 12
23+ 5 * 1 - 12
then 5 times 1
23 + 5 * 1 - 12
23 + 5 - 12
then 23 + 5 and subract 12 from the solution
23 + 5 - 12
28 - 12 =
16
An outlet has a current of 10 amperes and a resistance of 14 ohms. Find the voltage difference.
The voltage difference for an outlet will be 140 volts.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
For an outlet,
Current (I) = 10 ampere
Resistance (R) = 14 ohms
Now,
Since, We know that;
The current is the ratio of the potential difference and resistance.
That is,
⇒ I = V / R
⇒ V = I R
Thus, Substitute all the values, we get;
⇒ V = I R
⇒ V = 10 x 14
⇒ V = 140 Volts
Therefore, The voltage difference for an outlet will be 140 volts.
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What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth.
The length of the hypothenuse or the value of x is equal to 19.53
This is a right angle triangle and since we have a missing side, we should list our data first and find an option to solve this.
Data;
hypothenuse = xadjacent = 11.2opposite = 16Pythagoras's TheoremTo solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.
The formula for this is
x^2 = y^2 + z^2
Let's substitute the values and solve for the missing side.
[tex]x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53[/tex]
The length of the hypothenuse or the value of x is equal to 19.53.
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A game at the fair involves ping-pong balls numbered 1 to 18. you can win a prize if you correctly choose the 5 numbers that are randomly drawn. what are your chances of winning?
Answer:
5/18
Step-by-step explanation:
Here,
total numbering balls n(S) = 18
total number of winning balls n(B) = 5
Therefore,
Probability or winning chances P(B)=
n(B)/n(S)
= 5/18
John has 1010 items in his backpack, including 66 books. What is the probability that a randomly selected item from his backpack is a book?
Answer:
~6.534653% of randomly selected a book from his bag (I don't know how many decimals you need)
Step-by-step explanation:
Basically you just do (66 (books) /1010 (total items)) * 100 to find your answer because out of the total 1010 items in that bag there is only 66 that are books so its (66/1010)*100 to find your answer, the *100 is added to find the percentage.
The measures of the angles of triangle PQR can be represented in terms of x
The measure of angle P is (2x)
The measure of angle Q is
(x+17)
The measure of angle R is (x-21)
Create an equation that can be used to find the measure of each angle.
Answer:2x+(x+17)+(x-21)=180
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
The equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
How to create an equation to determine the angles?The given parameters are:
P = 2x
Q = x + 17
R = x - 21
The sum of angles in a triangle is 180.
So, we have:
P + Q + R = 180
Substitute known values
2x + x + 17 + x - 21 = 180
Hence, the equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
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Select the reason that best supports Statement 6 in the given proof.
Answer: D. Subtraction property of equality
Step-by-step explanation:
They are subtracting 6 from both sides of the equality.
Please answer the one you would like. I’m very bad at math :(
Answer:
The answer for question one is 162 cm
Where is the blue dot on the number line?
Answer:
-2.1
Step-by-step explanation:
its a 0.1 step.
hope you understand
What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply. ∠Z ≅ ∠G and XZ ≅ FG ∠Z ≅ ∠G and ∠Y ≅ ∠E XZ ≅ FG and ZY ≅ GE XY ≅ EF and ZY ≅ FG ∠Z ≅ ∠G and XY ≅ FE
Answer:
∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
The additional information to prove that ΔXYZ ≅ ΔFEG using ASA or AAS
is ∠Z ≅ ∠G and XY ≅ FE
Option E is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔXYZ ≅ ΔFEG
We see that,
∠X and ∠F are equal
To prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
We need one more congruent angle and one corresponding side.
∠Z ≅ ∠G and XY ≅ FE can be used to prove this.
Now,
∠X = ∠F (angle) (given)
∠Z ≅ ∠G (angle)
XY ≅ FE (side)
ΔXYZ ≅ ΔFEG
Thus,
The additional information is:
∠Z ≅ ∠G and XY ≅ FE
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Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for $17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22
the diagram shows the cross-section of a wall of a cinema.
Answer:
280 m²£133Step-by-step explanation:
The area of the wall is the sum of the areas of the different sections of the wall. The cost to paint it will be the product of the cost of a tin of paint and the number of tins required.
__
Here, the shape of the wall can be divided into two trapezoids and a rectangle. Each shape has a corresponding area formula. Left-to-right, their areas are ...
Left Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(10 m +11 m)(4 m) = 42 m²
Middle Rectangle
A = LW
A = (13 m)(11 m) = 143 m²
Right Trapezoid
A = 1/2(b1 +b2)h
A = 1/2(11 m +8 m)(10 m) = 95 m²
Wall Area
The total area to be painted is the sum of the above areas:
total area = 42 m² +143 m² +95 m² = 280 m²
The area that needs to be painted is 280 m².
__
A tin of paint covers 15 m², so the number of tins needed is ...
(15 m²)t = 280 m²
t = 280/15 = 18 2/3 . . . . . . divide by the coefficient of t
We can only buy whole tins, so we need to buy 19 tins. Their cost will be ...
(£7 /tin)(19 tins) = £133
It will cost £133 to paint the wall.
2(3/5x+3). How would I get that answer
Answer: [tex]\frac{6}{5}[/tex]x + 6
Step-by-step explanation:
We will use the order of operations, also known as PEMDAS. See attached. Please note that we cannot do what is in the parentheses first because we have a variable, so we will distribute the 2 into it. Since this is an expression, I do not believe we can fully solve for x, but can only simplify.
Given:
2(3/5x+3)
Distribute:
2 * (3/5x) + (2 * 3)
6/5x + 6
Answer:
[tex]\frac{6}{5}[/tex]x + 6
9cm
7 cm
9cm
8cm
Olivia goes to Egypt and saw a model of
irged it using a scale factor of 1.2. What
ne new triangle pyramid?
6 cm
6 cm
Answer:
6 * 1.2 = 7.2
7 * 1.2 = 8.4
8 * 1.2 = 9.6
now find the Area and Perimeter of the enlarged triangle:
A = 1/2bh
A = 1/2 * 9.6 * 8.4
A = 40.32
P = a + b + c
P = 7.2 + 7.2 + 9.6
P = 24
So, the Area is 40.32 and the Perimeter is 24.
The 400-meter race times recorded in the boys track meet was normally distributed with a standard deviation of 3 seconds If David finished the race in 51.2 seconds with a -score of -2.6 , what was the mean time ?
Answer:
7AM was 8PM for a few days but 3the 3only 3and 3and 3and 3was is a little too much to me because I am not a fan of the cold and cold 4th
bro i need help with this 8th grade math work
Answer:
look it up
Step-by-step explanation:
The solution of system of equations is (3.5, 3.5).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
1) 1/2 (12x+8) -1/3 (24)=1/4 (16x+40)
6x+4-8=4x+10
6x-4=4x+10
6x-4x=10+4
2x=14
x=7
Therefore, the value of x is 7.
3) y=3x-7 -------(i) and -y=x-7 -------(ii)
Substitute equation (i) in equation (ii), we get
-(3x-7)=x-7
-3x+7=x-7
x+3x=7+7
4x=14
x=14/4
x=3.5
Substitute x=3.5 in equation (i), we get
y=3×3.5-7
y=10.5-7
y=3.5
So, the solution is (3.5, 3.5)
4) Production of chairs from Anthony
(2, 10) and (5, 25)
Here, m=(25-10)/(5-2)
= 15/3
= 5
Substitute m=5 and (x, y)=(2, 10) in y=mx+c, we get
10=5(2)+c
c=0
Substitute m=5 and c=0 in y=mx+c, we get y=5x
Production of chairs from Billy
(1, 2) and (4, 8)
Here, m=(8-2)/(4-1)
= 6/3
= 2
Substitute m=2 and (x, y)=(1, 2) in y=mx+c, we get
2=2(1)+c
c=0
Substitute m=2 and c=0 in y=mx+c, we get y=2x
When y=18
Production of chairs from Billy 18=5x
x=3.6
When y=18
Production of chairs from Anthony
18=2x
x=9
Therefore, the solution of system of equations is (3.5, 3.5).
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9. A cooler contains 4.5 gallons of water and is filling up
at a rate of 0.1 gallons per second. A second cooler
contains 7 gallons of water and is draining at a rate of
0.25 gallons per second. Which could be used to
determine the number of seconds it would take for each
cooler to contain the same amount of water?
The equation that can be used to determine when each cooler would contain the same amount of water is 2.5 = 0.75t.
When the coolers would have the same amount of water?Equation that can be used to determine the amount of water in the first cooler at time t : 4.5 + 0.1t
Equation that can be used to determine the amount of water in the second cooler at time t : 7 + 0.25t
Where t represents seconds
When they have the same amount of water, the two above equations would be equal
4.5 + 0.1t = 7 + 0.25t
Combine similar terms
7 - 4.5 = 0.1t - 0.25t
2.5 = 0.75t
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I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
-------------------------------------------------------------------------------------------------------
Given Question
For the expression [tex]2x-5[/tex], evaluate it for [tex]x = (0, 1, 2, 3, 4, 5)[/tex].
From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:
-------------------------------------------------------------------------------------------------------
Evaluating the expression for the given values of x:
[tex]x=0 \implies 2(0)-5=-5[/tex]
[tex]x=1 \implies 2(1)-5=-3[/tex]
[tex]x=2 \implies 2(2)-5=-1[/tex]
[tex]x=3 \implies 2(3)-5=1[/tex]
[tex]x=4 \implies 2(4)-5=3[/tex]
[tex]x=5 \implies 2(5)-5=5[/tex]
Evaluated set of values: -5, -3, -1, 1, 3, 5
To find the Mean Absolute Deviation (MAD):
Calculate the mean (by summing the data values and dividing by the number of values)Subtract the mean from each value in the data set and take the absolute value of each result.Sum the absolute values from step 2.Divide by the number of values.[tex]\sf Mean=\dfrac{(-5)+(-3)+(-1)+1+3+5}{6}=0[/tex]
Absolute values:
[tex]\sf|-5-0|=5[/tex]
[tex]\sf|-3-0|=3[/tex]
[tex]\sf|-1-0|=1[/tex]
[tex]\sf|1-0|=1[/tex]
[tex]\sf|3-0|=3[/tex]
[tex]\sf|5-0|=5[/tex]
Sum of absolute values = 18
[tex]\sf \implies MAD=\dfrac{18}{6}=3[/tex]
What does 48906478×78955680 equal to
Answer:
3861444226895040
Step-by-step explanation:
You do not want to know.
The population of a town is expected to grow by 6% each year.
In 2017 the population was 27,000.
What will the be population in 2018?
Answer:
28620
Step-by-step explanation:
→ Find the multiplier
( 100 + 6 ) ÷ 100 = 1.06
→ Multiply by the original amount
27000 × 1.06 = 28620
What is Limit of 4 Superscript x Baseline cosine (pi x) as x approaches negative 2?
–16
–8
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 8 EndFraction
Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
=============================================================
Work Shown:
[tex]\displaystyle L = \lim_{x \to -2}4^x\cos(\pi x)\\\\\\L = 4^{-2}\cos(\pi (-2))\\\\\\L = \frac{1}{4^2}\cos(-2\pi)\\\\\\L = \frac{1}{16}\cos(2\pi)\\\\\\L = \frac{1}{16}(1)\\\\\\L = \frac{1}{16}\\\\\\[/tex]
The limit of the function f(x)=[tex]4^{x}[/tex]cos(πx) is 1/16 which is start fraction 1 over 16 end fraction.
What is limit of function?The limit is the extent to which the value of function exists.
How to find limit of function?The function which is given is f(x)=[tex]4^{x}[/tex]cos(πx) and we have to find the limit of f(x).
L.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}cos([/tex]πx)
Put x=-2-h
[tex]\lim_{h \to \0} 4^{-2-h}cos([/tex]π(-2-h)
put h=0
=[tex]4^{-2} cos(2[/tex]π)
=[tex]4^{-2}*1[/tex] {cos(2π)=1}
=1/16
R.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}[/tex] cos(πx)
Put the value of x=-2+h
=[tex]\lim_{h \to \0}4^{-2+h}[/tex] cos{π(-2+h)}
Put the value of h=0
=[tex]4^{-2}*cos(2[/tex]π)
=1/16
L.H.L=R.H.L
Hence the limit of the function [tex]4^{x}cos([/tex]πx) is 1/16.
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Someone help me please
What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 80 degrees?
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]
The measures of the interior angles of a quadrilateral are 2x + 10, 3x, 3x + 5, and 5x + 20. What is the measure of the largest angle?
Answer:
Step-by-step explanation:
Finding the angles of quadrilateral:
Sum of all angles of quadrilateral = 360
2x + 10 + 3x + 3x + 5 + 5x +20 =360
2x + 3x + 3x + 5x + 10 + 5 + 20 = 360
Combine like terms
13x + 35 = 360
Subtrace 35 from both sides
13x = 360 - 35
13x = 325
Divide both sides by 13
x = 325/13
x = 25
5x +20 = 5*25 +20
= 125 +20
= 145°
Measeure of largest angle : 145°
Does anyone know if this is right?
In the diagram below, m//n. Select all of the angles that are congruent to 21
Not sure about Angle. 13
Write an algebraic expression in simplest form for the perimeter of a rectangle with side lengths (-3x + 1) and(2x - 5). Remember Perimeter = the sum of all sides. Rectangle has four sides.
Please I really need help
Answer:
Perimeter of a rectangle = 2W + 2L (where W is the width and L is the length)
Given:
width = (-3x + 1)length = (2x - 5)⇒ perimeter = 2(-3x + 1) + 2(2x - 5)
= -6x + 2 + 4x - 10
= -2x - 8
Find the area of a regular decagon (10 sides) with perimeter 100 units. Show all work
Answer:
What's the complex name
Pd(co2) (me3p)2
please help me I need help please
Answer:
p = 4
Step-by-step explanation:
Given equation:
[tex]x^2+(p-3)y^2-4x+6y-16=0[/tex]
Standard equation of a circle:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where [tex](a,b)[/tex] is the centre of the circle, and [tex]r[/tex] is the radius)
If you expand this equation, you will see that the coefficient of [tex]y^2[/tex] is always one.
Therefore, [tex]p-3=1[/tex]
[tex]\implies p=1+3=4[/tex]
Additional information
To rewrite the given equation in the standard form:
[tex]\implies x^2+y^2-4x+6y-16=0[/tex]
[tex]\implies x^2-4x+y^2+6y=16[/tex]
[tex]\implies (x-2)^2-4+(y+3)^2-9=16[/tex]
[tex]\implies (x-2)^2+(y+3)^2=16+4+9[/tex]
[tex]\implies (x-2)^2+(y+3)^2=29[/tex]
So this is a circle with centre (2, -3) and radius √29
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Set 1: 6
Set 2: 4.5
Step-by-step explanation:
To find the mean you would add them all up and divide by the total number of points, found by counting the x's. You have one 4; three 5's, two 6's, three 7's, and one 8. You would then add this up. This adds up to 60, and there are 10 points. The mean for set one is 6.
Repeat this process for set b. For this one you would get 4.5
Of the last 20 trains to arrive at Wildgrove Station, 12 were on time. Considering this data, how many of the next 5 trains would you expect to be on time?
Answer:
Late because 12 were on time so 5 would be late