Answer:
The integers are 2.
Step-by-step explanation:
Answer: 3 and 6
Step-by-step explanation:
3+6=9
3x6=18
9t-(2t-4)=25 I’m not sure how to use the distributive property to solve for t
Answer:
t = 3
Step-by-step explanation:
Given: 9t - (2t - 4) = 25
Distributive property: a(b + c) = ab + ac
1. Distribute '-' or '-1'
9t + -1(2t) + -1(-4) = 25
9t - 2t + 4 = 25
2. Combine like terms
7t + 4 = 25
3. Subtract 4 from both sides
7t + 4 - 4 = 25 - 4
7t = 21
4. Divide both sides by 7 to isolate the variable
7t ÷ 7 = 21 ÷ 7
t = 3
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Answer:
Mean: The sum of all data values divided by the total number of data values.
Median: The middle value when all data values are placed in order of size. If there is an even number of data values, the median is the mean of the middle two values.
Mode: The most frequently occurring data value.
-------------------------------------------------------------------------------------------------
Question 3
[tex]\textsf{Mean}=\dfrac{69 + 70 + 71 + 73 + 74 + 75 + 76 + 76 + 76 + 86}{10}=74.6[/tex]
Ordered data values: 69, 70, 71, 73, 74, 75, 76, 76, 76, 86
Median = (74 + 75) / 2 = 74.5
Mode = 76
-------------------------------------------------------------------------------------------------
Question 4
[tex]\textsf{Mean}=\dfrac{3 + 5 + 5 + 5 + 6 + 6 + 7 + 8 + 8}{9}=5.9\: \sf (nearest \:tenth)[/tex]
Ordered data values: 3, 5, 5, 5, 6, 6, 7, 8, 8
Median = 6
Mode = 5
-------------------------------------------------------------------------------------------------
Question 5
[tex]\begin{aligned}\textsf{Mean} & =\dfrac{11 + 12 + 12 + 13 + 13 + 14 + 14 + 15 + 16 + 16 + 17 + 18 + 19 + 20 + 23}{15}\\ & =15.5 \: \sf (nearest\:tenth)\end{aligned}[/tex]
Ordered data values: 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 20, 23
Median = 15
Mode = 12, 13, 14, 16
Answer:
see explanation
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
the median is the middle value of a set of data. If there is no exact middle value then it is the average of the values on either side of the middle.
the mode is the value that occurs most often in the data set
A data set can have more than 1 mode
------------------------------------------------------------------------
(3)
(a)
mean = [tex]\frac{74+73+75+76+71+69+70+76+76+86}{10}[/tex] = [tex]\frac{746}{10}[/tex] = 74.6
(b)
Arrange the data in ascending order
69 70 71 73 74 75 76 76 76 86
↑ middle
median = (74 + 75) ÷ 2 = 149 ÷ 2 = 74.5
(c)
mode = 76
(4)
(a)
mean = [tex]\frac{6+8+8+5+6+7+5+3+5}{9}[/tex] = [tex]\frac{53}{9}[/tex] ≈ 5.9 ( to 1 dec. place )
(b)
3 5 5 5 6 6 7 8 8
↑ middle
median = 6
(c)
mode = 5
(5)
(a)
mean = [tex]\frac{12+13+18+23+14+17+14+16+13+16+15+19+11+20+12}{15}[/tex] = [tex]\frac{233}{15}[/tex] ≈ 15.5 ( to 1 dp )
(b)
11 12 12 13 13 14 14 15 16 16 17 18 19 20 23
↑ middle
median = 15
(c)
the mode is multimodal
modes are 12, 13, 14, 16
Fill in the blank with a whole number.
√√3+2√2-√√3-2√2
||
Answer:
^2x2√3+2x√2-^2x2√3-2x√2
Step-by-step explanation:
Solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b to complete the solutions.
The solution to the given quadratic expression using the completing the square is x = ±√10 +8
Completing the square methodThis is a method of factoring quadratic expression. Given the quadratic function.
x^2 − 16x + 54 = 0
Subtract 54 from both sides
x^2 − 16x = -54
Complete the square
x^2 -16x +8^2 = -54 + 64
(x-8)² = 10
x - 8 = ±√10
x = ±√10 +8
Hence the solution to the given quadratic expression using the completing the square is x = ±√10 +8
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HELP!!!!!!!!!! What does each line on the protractor stand for?
Answer:
degrees like in angles. from 0 to 180
nwcggov
Which angles are alternate exterior angles with angle 11?
Answer:
<6 and <16 are alternate exterior angles.
Instructions: Complete the following proof by dragging and dropping the correct reason into the space provided.
Given: −6a−5=−95
Answer:
givenaddition property of equalitydivision property of equalityStep-by-step explanation:
The equation is solved by starting with the given equation, then performing inverse operations to undo what is done to the variable.
__
Step 1The equation shown is the same as the given equation.
reason: given
Step 2The equation shown has the "-5" term missing. That happens when +5 is added to both sides of the equation. -5 +5 = 0, and 0 added to anything leaves the value unchanged.
reason: addition property of equality
Step 3The equation shown has the "-6" coefficient of 'a' missing. That happens when the equation is multiplied by the multiplicative inverse of -6. That is, it is divided by -6.
reason: division property of equality
_____
Additional comment
As we have noted in Step 3, division is the same as multiplication by the multiplicative inverse. The definition of multiplicative inverse tells you that the product of a number and its inverse is 1. The identity element property for multiplication tells you that multiplying by 1 leaves the value unchanged.
(1/(-6))(-6a) = 1a = a
So, the reason for Step 3 could also be "multiplication property of equality."
Amina thinks of a number and subtracts 5/2 from it. she multiplies the result by 8. the result now obtained is 3 times another number she thought of.what is the number?
Answer:
The way the problem is written: y = 8x/3 - 20/3
If the two numbers are the same: the number is 4.
Step-by-step explanation:
She thought of 2 numbers.
The first number is x.
The second number is y.
8(x - 5/2) = 3y
We have one equation with two variables, so we do not have enough information to find the two numbers.
We can just express one number in terms of the other number.
8x - 20 = 3y
3y = 8x - 20
y = 8x/3 - 20/3
If the problem were:
"Amina thinks of a number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?",
then there is only one variable, and we can find the number.
8(x - 5/2) = 3x
8x - 20 = 3x
5x = 20
x = 4
The number is 4.
Solve the equation: 12w=102.
Hey there!
12w = 102
DIVIDE 12 to BOTH SIDES
12w/12 = 102/12
SIMPLIFY IT!
w = 102/12
w = 102 ÷ 6 / 12 ÷ 6
w = 17 / 2
w = 8 1/2
Therefore, your answer should be:
w = 17/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
please please help I have 20 minutes
Answer:
Step-by-step explanation:
left to right
63 33 28 88 55 120 24 24 2 90
48 28 40 50 72 30 60 99 12 20
18 16 81 9 42 32 62 40 22 66
18 8 60 6 49 108 110 27 121 80
36 35 20 24 44 36 54 96 132 12
56 144 77 30 72 36 70 16 15 14
45 21 25 84 10 100 40 12 120 54
64 30 27 60 24 36 121 10 18 18
You move right 3 units and left 6 units. You end at (-4, -5). Where did you start?
Answer:
(-1 , -5)
Hope this helped you! I would appreciate a Brainliest, if you wouldnt mind!
What is the probability that this spinner will stop on orange when it is spun? write the probability as a fraction in simplest form.
please I really need help
Answer:
C=12
Step-by-step explanation:
The interior angle of a polygon is 360.
So just add them all up.
(3c-29)+(127)+(c+43)+(c+43)+(2c+36)+(c+44)=360
Combine like terms
8c+264=360
Simplify
8c=96 . Divide both sides by 8
C=12
The area A of the rectangle shown is 500 square meters. Find the value of x. Then give the dimensions of the rectangle.
Answer:
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mStep-by-step explanation:
Area Formula
*Area* = *Length* × *Width*Given
Area = 500 square metersLength = (4x - 3) metersWidth = (2x + 6) metersSolving
(4x - 3)(2x + 6) = 5008x² - 6x + 24x - 18 = 5008x² + 18x - 18 - 500 = 04x² + 9x - 259 = 0(4x + 37)(x - 7) = 0x = 7 [as distance is always positive]Dimensions
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mNow
Area =LB(4x-3)(2x+6)=5008x²+18x-518=0(x-7)(4x+37)=0x=7 or -37/4Take it positive
L=4(7)-3=28-3=25B=2(7)+6=20A risky stock sells for $10 per share. With probability 0.3, the stock will be worth 3 times as much in two years. With probability 0.7, the stock will be worth 1/10 as much in two years. Suppose you buy 10 shares of the stock and then sell the stock in two years. Let N be the random variable denoting your net gain in dollars. What is the expected value of N
The expected value of the net gain from selling the stock in 2 years is $-3.
What is the net gain?The net gain is the total profit from selling the stock less the total cost of buying the stock
Total cost of buying the stock = 10 x $10 = $-100
Expected selling price = (0.3 x $100 x 3) + (0.7 x$100 x 1/10) += $97
Net gain = $97 - $100= $-3
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x + y = 20 and 2x + y =25 how can i solve this equation
Answer: I will give you a answer for both of them.
Step-by-step explanation:
First equation: x+y=20
1. Subtract y from both sides.
x=20−y
Second equation: 2x+y=25
1. Subtract y from both sides.
2x=25−y
2. Divide both sides by 2.
[tex]X[/tex][tex]=[/tex][tex]\frac{25-y}{2}[/tex]
Can somebody please explain how to do this by formula,theorem,or anyway how to do this
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
For each number, name its opposite.
a. -5
b. 0.5
c. -2
d. 28
e. -10.4
f. 0.875
g. -8,003
h. 0
Answer:
a. 5
b. 1
c. 2
d. -28
e. 10.4
f. 11.41
g. 8003
h. 1
Find the slope of the line that passes through (10, 7) and (3, 15).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
(y2-y1/x2-x1)
a. -7/8
O b.-8/7
Oc. -1
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Find the slope of the line that passes through (10, 7) and (3, 15).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We can find the slope using the following formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Replace the letters with numbers:-
[tex]\boxed{\frac{15-7}{3-10}}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\boxed{\frac{8}{-7}}[/tex]
[tex]\bigstar[/tex] The slope is
[tex]\boxed{-\frac{8}{7}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
A transport company needs to deliver 500,000 pounds of rocks to a construction site. The company owns a set of dump trucks- each with a container in the shape of a rectangular prism (figure A). If each pound of rock has a volume of 0.01 cubic feet, how many dump trucks will it take to transport the rock? Calculate the total volume of rock that the transport company is responsible for. Calculate the maximum volume of each dump truck. How many trucks are needed to deliver the rock in one trip?
The number of trucks needed to deliver the rock in one trip will be 6.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
V = a x b x c
A transport company needs to deliver 500,000 pounds of rocks to a construction site.
The company owns a set of dump trucks- each with a container in the shape of a rectangular prism (figure A).
If each pound of rock has a volume of 0.01 cubic feet.
Then the total volume of rock that the transport company is responsible for.
Volume of rocks = 0.01 x 500,000
Volume of rocks = 5,000 ft³
Then the maximum volume of each dump truck will be
Volume of truck = 12 x 9 x 8
Volume of truck = 864 ft³
Then the number of the trucks are needed to deliver the rock in one trip will be
Number of trucks = 5000 / 864
Number of trucks = 5.787
Number of trucks ≅ 6
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Expand and simplify:
[tex]( \sqrt{3} + 1)( \sqrt{3} - 3)[/tex]
Answer:
[tex]-2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\textsf{Given expression}: \quad(\sqrt{3}+1)(\sqrt{3}-3)[/tex]
[tex]\textsf{Use the FOIL method to expand}\quad(a+b)(c-d)=ac-ad+bc-bd:[/tex]
[tex]=\sqrt{3}\sqrt{3}-3\sqrt{3}+1\sqrt{3}+1(-3)[/tex]
[tex]=\sqrt{3}\sqrt{3}-3\sqrt{3}+1\sqrt{3}-3[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{a}=a:[/tex]
[tex]=3-3\sqrt{3}+\sqrt{3}-3[/tex]
[tex]\textsf{Collect like terms}:[/tex]
[tex]=3-3-3\sqrt{3}+\sqrt{3}[/tex]
[tex]\textsf{Combine like terms}:[/tex]
[tex]=0-2\sqrt{3}[/tex]
[tex]=-2\sqrt{3}[/tex]
What is the solution to 2x²+8x=x²-16?
Ox=-4
Ox=-2
Ox=2
Ox=4
Answer:X is equal to -4 twice
Step-by-step explanation:
The solution to the equation 2x² + 8x = x² - 16 is x = -4.
Option A is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To solve the equation 2x² + 8x = x² - 16, we first simplify it by moving all the terms to one side:
2x² + 8x - x² + 16 = 0
Simplifying further, we get:
x² + 8x + 16 = 0
This is a quadratic equation of the form ax² + bx + c = 0, where a = 1, b = 8, and c = 16.
We can solve this equation by factoring it:
(x + 4)(x + 4) = 0
This gives us two solutions:
x + 4 = 0 or x + 4 = 0
x = -4 or x = -4
Therefore,
The solution to the equation 2x² + 8x = x² - 16 is x = -4.
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Evaluate f(x) = x + 8 when x = -3, 0, and 5.
Answer:
[tex]f(-3) = -3 + 8 \\= 5\\f(0) = 0 + 8 \\= 8\\f(5) = 5 + 8 \\= 13[/tex]
Step-by-step explanation:
All we need to do is plug in the x-values.
if
[tex]f(x) = x + 8[/tex]
then
[tex]f(-3) = -3 + 8 \\= 5\\f(0) = 0 + 8 \\= 8\\f(5) = 5 + 8 \\= 13[/tex]
hope this helped!!
The volume of this rectangular prism is 108 cubic feet. a prism has a length of l, height of 4.5 feet, and width of 3 feet. what is the length of the prism? feet
Answer:
8 feet
Step-by-step explanation:
The length can be found using the volume formula with the known values. The resulting equation can be solved for the unknown value.
__
V = LWH . . . . . volume of a prism is the product of its dimensions
108 ft³ = l×(3 ft)×(4.5 ft) . . . . . known values filled in
l = 108 ft³/(13.5 ft²) = 8 ft . . . . . . divide by the coefficient of length
The length of the prism is 8 feet.
Answer:
8ft
Step-by-step explanation:
On average how far from the mean age is each player?
The mean of the age data of the players is 20 and on average the age of each player is 1 far from mean.
What is dot plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The data of the age of the player is,
18,19,20,21,21,21
The number of player are 6. Thus, the mean of the data is,
Mean=(18+19+20+21+21+21)/6
Mean=20
The distance form mean 20 of each player age is, 2,1,0,1,1,1. The mean deviation is,
Mean Deviation= (2+1+0+1+1+1)/6
Mean Deviation=1
Thus, the mean of the age data of the players is 20 and on average the age of each player is 1 far from mean.
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What’s the value of x?
Answer:
X = 10.09
Step-by-step explanation:
15. Factor
please help :)
Answer:
(8w + 7)(7w + 9)
Step-by-step explanation:
56w² + 121w + 63
consider the factors of the product of the coefficient of the w² term and the constant term which sum to give the coefficient of the w- term
product = 56 × 63 = 3528 and sum = 121
After much trial and error the factors are + 49 and + 72
use these factors to split the w- term
56w² + 49w + 72w + 63 ( factor first/second and third/fourth terms )
= 7w(8w + 7) + 9(8w + 7) ← factor out (8w + 7) from each term
= (8w + 7)(7w + 9) ← in factored form
I have no idea what to do for these 2 questions, somebody please help
Answer:
Step-by-step explanation:
2.2:
[tex]3^2(6)(3.14) = 169.56 in^3[/tex]
3.3
[tex]9^2(5)(3.14) = 1287.4 un^3[/tex]
Olivia scored 82 points on the first mathematics test of the year. On the second mathematics test, she scored 78 points. What is the percent of change in the number of points she scored between the first and second tests? Round your answer to the nearest hundredths place.
The percent of change in the number of points she scored between the first and second tests = 4.878 %
What is percentage decrease?
If the data is decreasing,
Decrease = Original Number - New Number.
Then: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100.
Given that:
The score of first Math test = 82
The score of second Math test = 78
Changes occurs in marks by=78-82
=-4
So, there is decrease in marks.
We have to find the decrease percentage:
Decrease%= [tex]\frac{change \;in \;value}{Original\; value} *100[/tex]
= [tex]\frac{4}{82} *100[/tex]
= 0.04878 * 100
= 4.878 %
There is 4.88% decrease in Olivia's score.
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What is the value of x in the triangle?
Answer: [tex]D. 6\sqrt{x} 2[/tex] is the answer
Step-by-step explanation: