Answer:
k= 3/2
Step-by-step explanation:
[tex] \frac{k}{4} = \frac{3}{8} \\ \\ k = \frac{12}{8} \\ k = \frac{3}{2} [/tex]
solve the equation
3(x + 1) = 9+ 2x
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3(x+1)=9+2x[/tex]
Distribute the left side:
[tex]3x+3=9+2x[/tex]
Subtract 2x from both sides. The right side cancels:
[tex](3x+3)-2x=(9+2x)-2x\\x+3=9[/tex]
Subtract 3 from both sides:
[tex](x+3)-3=(9)-3\\x=6[/tex]
So, x is 6.
-7/2x + 3/2 + 2 =-7/2
Answer:
x=2
Step-by-step explanation:
-7/2x + 3/2 + 2 =-7/2
Add the numbers
3/2+2
2=2/1=4/2
3/2+4/2=7/2
-7/2x+7/2=-7/2
Subtract 7/2 from both sides
-7/2x=-14/2
Multiply both sides by 2
-7x=-14
Divide both sides by -7
x=2
Solve for X. The triangles are similar.
A. 4
B. 9
C. 11
D. 3
Answer:
[tex] x = 11 [/tex]
Step-by-step explanation:
Given that ∆CDE ~ ∆FGH
CD = 25
DE = 35
FG = 65
GH = 8x + 3
Therefore,
[tex] \frac{CD}{FG} = \frac{DE}{GH} [/tex]
(Similarity Theorem)
[tex] \frac{25}{65} = \frac{35}{8x + 3} [/tex]
Cross multiply
[tex] 25(8x + 3) = 35*65 [/tex]
[tex] 200x + 75 = 2275 [/tex]
[tex] 200x + 75 - 75 = 2275 - 75 [/tex]
[tex] 200x = 2200 [/tex]
[tex] \frac{200x}{200} = \frac{2200}{200} [/tex]
[tex] x = 11 [/tex]
Answer:
C. 11
Step-by-step explanation:
x = 11
Solve 3exponent3-2=9
Answer: No solution. 27=9
Hannah and Zach together earn $950 for an
advertising drop. They earn equal hourly rates
of pay. If Hannah worked for 10 hours and
Zach for 9 hours, how much
did Zach earn?
Answer:
$450
Step-by-step explanation:
Let R be the hourly pay rate in dollars per hour. Hannah worked 10 hours and Zach worked 9 hours for a total of $950, so we get the equation:
10R + 9R = 950
Solve for R:
19R = 950
R = 50
Zach worked for 9 hours, so the total he earned is:
9 hours * 50 dollars/hour = $450
Jerry has $20 and makes $7 per hour. Which equation represents the total
amount of money Jerry has after working x hours?
Equation to represent amount of money Jerry has after working x hours is
y = $7x + $20
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Given,
Jerry makes $7 per hour
He has $20.
Jerry works for x hours
Amount Jerry made working x hours = $7x
Then, equation for total amount y Jerry has after working x hours
y = $7x + $20
Hence, y = $7x + $20 is equation that represents the total amount of money Jerry has after working x hours.
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Assume that triangle TUV= triangle WXY. Which of the following congruence statements
are correct? Check all that apply.
Answer:
Options (C), Option (D), Option (E), Option (F).
Step-by-step explanation:
It's given in the question,
ΔTUV ≅ ΔWXY
Therefore, corresponding sides and angles will be congruent.
∠T ≅ ∠W
∠U ≅ ∠X
∠V ≅ ∠Y
TV ≅ WY
UV ≅ XY
TU ≅ WX
By these properties, following options will be the correct options.
Option (C). ∠V ≅ ∠Y
Option (D). TV ≅ WY
Option (E). UV ≅ XY
Option (F). ∠X ≅ ∠U
Answer:
C,D,E, and F are correct
Step-by-step explanation:
In order to solve problems like this, you need to see which angles and segment correspond. Also, you would need to make sure that the order is the same on both sides of the equal side. For example, the first angle on one side of the equal sign will be congruent to the FIRST angle on the other side of the equal side.
In your bid to be elected class representative, you have your election committee survey five randomly chosen students in your class and ask them to rank you on a scale of 0-10. Your rankings are 9, 6, 1, 7, 7. (a) Find the sample mean and standard deviation. (Round your answers to two decimal places.) HINT [See Example 1.] sample mean standard deviation (b) Assuming the sample mean and standard deviation are indicative of the class as a whole, in what range does the empirical rule predict that approximately 68% of the class will rank you
Answer:
Sample mean = 6
Sample standard deviation = 3
Range = 3 to 9
Step-by-step explanation:
Given data:
Rankings (x)
9
6
1
7
7
sample size = n = 5
(a)
Sample Mean: [tex]\frac{}{x}[/tex] = ∑x/n
= 9+6+1+7+7 / 5
= 30 / 5
[tex]\frac{}{x}[/tex] = 6
Sample Standard Deviation = s = √(x- [tex]\frac{}{x}[/tex] )²/n-1
= √((9-6)² + (6-6)² + (1-6)² + (7-6)² + (7-6)²) / (5-1)
= √((3)² + (0)² + (-5)² + (1)² + (1)²) / 4
= √(9+0+25+1+1)/4
= √36 / 4
= √9
= 3
s = 3
b) In what range does the empirical rule predict that approximately 68% of the class will rank you?
As per the empirical rule, 68% of data falls within first standard deviation from the mean μ ± 1σ
[tex]\frac{}{x}[/tex] = 6
s = 3
So
6 - 3 = 3
6 + 3 = 9
Hence the range is from 3 to 9
Evaluate the expression when x=35 and y=6 x / 5 - y
Answer:Variable expressions are expressions that involve variables, which are symbols that represent changing quantities. The value of the expression will change as the value of the variable changes.
For example, let's say with have the equation
x
+
5
When
x
=
1
, then
x
+
5
=
6
When
x
=
2
then
x
+
5
=
7
Hope that was helpful.
If the mZSRW=85 degrees what are the measures of ZVRU and ZURW?
Answer:
m<VRU = 80°
m<URW = 15°
Step-by-step explanation:
<SRW and <VRT are vertical opposite angles. Vertical opposite angles are equal. Therefore:
[tex] 2x + 15 = 85 [/tex]
Use this expression to solve for the value of x
[tex] 2x + 15 - 15 = 85 - 15 [/tex]
[tex] 2x = 70 [/tex]
[tex] \frac{2x}{2} = \frac{70}{2} [/tex]
[tex] x = 35 [/tex]
Find m<VRU by plugging in the value of x in the expression for its angle given.
m<VRU = [tex] 2x + 10 [tex]
[tex] 2(35) + 10 = 70 + 10 = 80 [tex]
m<VRU = 80°
FIND m<URW.
m<URW = 180° - (m<VRU + m<SRW) (angles on a straight line is 180°)
m<URW = 180 - (80 + 85)
= 180 - 165
m<URW = 15°
17.
An urn contains eight red, six white, and four green balls. Four balls are drawn at random.
(a) Compute P(all four are red).
(b) Compute P(exactly two are red and exactly two are green).
(c) Compute P(exactly two are red or exactly two are green).
(a) The probability that all four balls are red is
(Type an integer or a decimal. Round to two decimal places as needed.)
(b) The probability that there are exactly two red balls and exactly two green balls is
(Type an integer or a decimal. Round to two decimal places as needed.)
(c) The probability that there are exactly two red balls or exactly two green balls is
(Type an integer or a decimal. Round to two decimal places as needed.)
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.001. [infinity] (−1)n + 1 n2 n = 1
Answer:
at N ≥ 6
Step-by-step explanation:
Error permissible = 0.001
The series = infinity
at ( N + 1 ) ! > 1000 the inequality N ≥ 6 is valid and holds
attached below is the detailed solution using alternating series remainder
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?
Answer:
Step-by-step explanation:
(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:
r 3x - 1
(-----)(x) = ----------
s 2x + 1
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ - 5 {x}^{5} + 2 {x}^{3} - 6x}}}}[/tex]
Step-by-step explanation:
[tex] \sf{( {x}^{5} + {x}^{3} ) - (6x - {x}^{3} + 6 {x}^{5}) }[/tex]
When there is a ( - ) in front of an expression in parentheses , change the sign of each term.
Also, remove the parentheses
⇒[tex] \sf{ {x}^{5} + {x}^{3} - 6x + {x}^{3} - 6 {x}^{5} }[/tex]
Collect like terms
⇒[tex] \sf{ {x}^{5} - 6 {x}^{5} + {x}^{3} + {x}^{3} - 6x}[/tex]
⇒[tex] \sf{ - 5 {x}^{5} + 2 {x}^{3} - 6x}[/tex]
Hope I helped!
Best regards!!
what is one fourth divided by two
Answer:
1/8
Step-by-step explanation:
1/4 ÷ 2
copy dot flip
1/4 * 1/2
1/8
A dance instructor chose four of his 10 students to be on stage for a performance. If order does not matter, in how many different ways can the instructor choose the four students? 10 C 4 = StartFraction 10 factorial Over (10 minus 4) factorial 4 factorial 210 1,260 6,300 25,200
Answer:
210
Step-by-step explanation:
10x9x8x7x6x5x4x3x2x1 divided by 6x5x4x3x2x1x4x3x2x1=
(Take out 1 through 6 on both sides)
10x9x8x7 divided by 4x3x2x1=
5040 divided by 24=
210
Dance instructor can chose 4 students out of 10 if order doesn't matter in 210 ways
What is combination?A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.
For example, suppose we have a set of three letters: A, B, and C. We might ask how many ways we can select 2 letters from that set. Each possible selection would be an example of a combination.
Formula of combination:
[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]
Where
nCr is the selection of objects from a group of objects where order of objects does not matter.
n is the total number of objects
r is the number of selected objects.
According to the question
A dance instructor chose four of his 10 students to be on stage for a performance and order does not matter .
i.e,
if we have to chose and order does not matter that means we have to use combination .
[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]
Total number of students (n)= 10
Number of selected students (r) = 4
[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]
[tex]C_{n} ^{r} = \frac{10!}{4! (6)!}[/tex]
[tex]C_{n} ^{r} = \frac{10*9*8*7}{4*3*2*1 }[/tex]
[tex]C_{n} ^{r} = \frac{5040}{24 }\\[/tex]
[tex]C_{n} ^{r} = 210[/tex]
Hence, Dance instructor can chose 4 students out of 10 in 210 ways
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the amount is 2.88 is ( percent of what price?
Answer:
Discount = Original Price x Discount %/100
Discount = 2.88 × 1/100
Discount = 2.88 x 0.01
You save = $0.03
Final Price = Original Price - Discount
Final Price = 2.88 - 0.0288
Final Price = $2.85
In a multi digit number the number place that a digit is in determines its?
Answer:
Place Value
Step-by-step explanation:
To Find:in a multi-digit number, the number place that a digit is in determines it's?
Solution :
The number place that a digit is in determines it's PLACE VALUE
Definition of place value : Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Thus in a multi-digit number, the number place that a digit is in determines it's PLACE VALUE.
Eg . 389
Since the digit 8 is on tens place
So, it makes us to determine its place value
Place value of 8 is 80
Hence in a multi-digit number, the number place that a digit is in determines it's PLACE VALUE.
Wyatt is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.75. Wyatt spent $20.25 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Wyatt played and the number of rides Wyatt went on.
Answer:
Wyatt played 3 games and went on 6 Rides
Step-by-step explanation:
Let games be represented as x
Let ride be represented as y
Each game cost $1.25
Each ride cost $2.75
Total money spent by Wyatt= $20.25
x1.25 + y2.75 = 20.25 ..... Equation 1
the number of rides he went on is twice the number of games he played
Y= 2x ... Equation 2
Substituting the value of y into equation 1
x1.25 + y2.75 = 20.25
x1.25 + 2(x)2.75 = 20.25
x1.25 + x5.5 = 20.25
x6.75= 20.25
x= 20.25/6.75
X= 3
Y= 2x
Y= 2(3)
Y= 6
Wyatt played 3 games and went on 6 Rides
Answer:
Wyatt played 3 games and went on 6 rides.
Step-by-step explanation:
The diagram represents a
straight highway with three
towns, Henri, Joaquin, and
Kenard. Find the distance
from Henri H to Joaquin J.
Which of the following would be a good reason to place your money into a savings account? a. You can purchase stocks with a savings account b. A savings account earns interest c. You can write checks with a savings account d. You can use a debit card to make transactions Please select the best answer from the choices provided A B C D
Answer: B. a savings account earns interest
Step-by-step explanation: Money loses value over time as the rate of inflation increases. In this scenario, when you have some money to spare, the ideal is to seek some kind of investment that earns interest.
Saving is one such option. The money in savings earns interest and is highly liquid, meaning it can be used at any time. In addition, saving is a very...
Answer:
B
Step-by-step explanation:
ANSWER ( MUST ANSWER IN ORDER FOR BRAINLIEST)
Answer:
A. 9
Step-by-step explanation:
54/6 = 9
Answer:
9
Step-by-step explanation:
The scaling factor for this image is 9.
Notice that 54/6 = 9 and 108/12 = 9.
Cheers.
Cassandra argues that (6 2/3)6 can be simplified to 6(6 2/3), but Rafael argues that the exponent 6 2/3 should be replaced with another number. Enter the number that the exponent 6 2/3 should be replaced with.
Answer:
Assuming you mean (6^2/3)^6, the exponent 6 2/3 in the simplification should be replaced with 4
Step-by-step explanation:
Apply the power rule and multiply exponents.
6 ^2 /3 * 6
Cancel the common factor of 3
6 ^2 *2
Multiply 2 by 2 .
6 ^4
If you answer these two questions, that would be awesome, on my other questions i have asked the same one twice so if you want more points go on to my other questions and just put the same thing. hopefully someone see's this.
Answer:
[tex]\sqrt[3]{x^2}[/tex]
x ^( 1/8)
Step-by-step explanation:
x ^ (5/6) ÷ x ^ (1/6)
We know that a^ b ÷ a ^c = a^ ( b-c)
x^ ( 5/6 - 1/6)
x^ (4/6)
x ^ 2/3
[tex]\sqrt[3]{x^2}[/tex]
[tex]\sqrt{x}[/tex][tex]\sqrt[\\4]{x}[/tex]
x ^ 1/2 * x ^ 1/4
We know that a^ b * a ^ c = a^ (b*c)
x ^ (1/2 * 1/4)
x ^( 1/8)
Answer:
[tex]\huge \boxed{\sqrt[3]{x^{2} } } \\ \\ \huge \boxed{x^{\frac{3}{4} } }[/tex]
Step-by-step explanation:
Part 1:
x^(5/6) ÷ x^(1/6)
Applying exponent rule : a^b ÷ a^c = a^(b-c)
x^(5/6-1/6)
x^(4/6)
Simplifying the exponent.
x^(2/3)
Converting to simplest radical form.
(x^2)^(1/3)
[tex]\sqrt[3]{x^{2} }[/tex]
Part 2:
[tex]\sqrt{x} \times \sqrt[4]{x}[/tex]
Converting to exponent form.
x^(1/2) × x^(1/4)
Applying exponent rule : a^b × a^c = a^(b+c)
x^(1/2+1/4)
x^(2/4+1/4)
x^(3/4)
5. Three times the width of a certain rectangle exceeds twice its length by two inches. Four times its length is twelve more
than its perimeter. Write a system of equations that could be used to solve this problem. (hint: P = 2L + 2W)
A. 3W = 2L + 2
2L = 2W + 12
B. 3W + 2 = 2L
4L = P - 12
C.3W = 2L + 2
4L + 12 =P
D. 2W + 2 = 2L
4L = 12 + P
E. 3W + 2 = 2L
4L = 12 + P
F. 2L - 2 = 3W
P = 4L - 12
plsss help
Answer: A
Step-by-step explanation:
L=Length W=Width
3W=2L+2
4L=2L+2W+12
2L=2W+12
Option A
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Will mark brainliest if correct
Answer:
[tex]mean = \frac{9 + 4 + 4 + 1 + 0 + 6 + 4}{7} = \frac{28}{7} = 4[/tex]
[tex]mean \: deviation = \frac{ |9 - 4| + |4 - 4| + |4 - 4| + |1 - 4| + |0 - 4| + |6 - 4| + |4 - 4| }{7} = \frac{5 + 0 + 0 + 3 + 4 + 2 + 0}{7} = \frac{14}{2} = 7[/tex]
Solve. 3(4x - 7) =27
The distributions of X and of Y are described here. If X and Y are independent, determine the joint probability distribution of X and Y.
Answer:
It should be noted that the p.f of X and Y when they are independent can be obtained by multiplying together their marginal probability function.
Step-by-step explanation:
Two discrete random variables X and Y are said to be statistically independent if and only if , for all possible values ( xi, yi) the joint probability function f(x,y) can be expressed as the product of two marginal functions. That is X and y are independent if
f(x,y) = P(x=xi and Y =yi)
= P(x=xi) P(Y =yi) for all i and j
= g(x)h(y)
It should be noted that the p.f of X and Y when they are independent can be obtained by multiplying together their marginal probability function.
The values of marginal probabilities are often written in the margins of the joint table as there are rows and columns totals in the table. The probabilities in each marginal probability function add to 1.
Find the GCF 8x and 22xy.
Answer:
2x
Step-by-step explanation:
Factor both terms given to simplest terms:
8x = 2 * 2 * 2 * x
22xy = 2 * 11 * x * y
Note that in each case, there is the factor of 2 & x that is shared by both. These are what is used to find the Greatest Common Factor. Multiply both terms together:
2 * x = 2x
2x is your GCF.
~
First find the greatest common factor of 8 and 22.
To find the greatest common factor of 8,
begin by dividing 8 by all the numbers you can.
8 ÷ 1 = 8
8 ÷ 2 = 4
Notice that I stopped here because if I continued
dividing, I would be dividing 8 by 4 which is 2.
Make sure to stop dividing when you see numbers repeat.
So the factors of 8 are 1, 2, 4, and 8.
Now do the same thing for 22.
22 ÷ 1 = 22
22 ÷ 11 = 2
So the factors of 22 are 1, 2, 11, and 22.
Now look for the largest number shared by the two lists.
In this case, the largest number is 2.
Now let's move to the variables.
To qualify for the Greatest Common Factor,
the variable must appear in every monomial.
Since the y doesn't appear in every monomial, it doesn't qualify.
However, notice that the x does appear in every monomial.
If the variable does appear in every monomial, the Greatest
Common Factor will use the smallest power on that variable.
Since the smallest power for x in both monomials is x, we use x.
So our greatest common factor is 2x.
what are all the zeros of function g(x) = (x + 2)(x − 2)(x − 3),
Answer:
-2, 2 and 3.
Step-by-step explanation:
each of the brackets could be zero.
So for example x + 2 = 0 gives x = -2.
Answer:
x=-2 x=2 x=3
Step-by-step explanation:
g(x) = (x + 2)(x − 2)(x − 3)
Set the function equal to 0
(x + 2)(x − 2)(x − 3) =0
Using the zero product property
x+2 =0 x-2 =0 x-3 =0
Solve each equation
x=-2 x=2 x=3
These are the zeros