Answer:
Number : 42
Step-by-step explanation:
This number will be a two - digit number, and hence we can say that it is yz. The ratio of the units digit to the tens digit is given by 1 / 2, so z / y = 1 / 2.
In addition the tens digit is 2 more than the units digit, so y = z + 2. We therefore have the following system of equations,
y = z + 2,
z / y = 1 / 2
Substituting the first equation into the second we receive z / z + 2 = 1 / 2. Using this we can solve for z.
z / z + 2 = 1 / 2 ( Cross - Multiply )
z + 2 = 2z, z = 2
And knowing z we can solve for y. y = z + 2 = 2 + 2 = 4. Therefore our number is 42.
in a 10 team league, each teams play every other team exactly twice. find the total number of games played in the league
Addition can be defined as the process of adding two numbers. The total number of games played in the league is 90.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that in a 10-team league, each team play every other team exactly twice. Therefore, the total number of games that will be played by the first team is 18, similarly, the number of games that will be played by the second team is 16.
Therefore, as mentioned above the series will continue with a common difference of -2 and will continue till 0. Thus, the total number of games played in the league is,
Total number of games = 18 + 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 = 90
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If F(x) = x - 7 and G(x) = x3, what is G(F(x))
[tex]g(f(x))=(x-7)^3=x^3 - 21 x^2 + 147 x - 343[/tex]
For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r=0.989. Using alph=0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Correlation Coefficient (r) = 0.989
alph=0.05
Number of observations (n) = 8
determine if there is a linear correlation between chest size and weight.
Yes, there exists a linear relationship between chest size and weight as the value of the correlation Coefficient exceeds the critical value.
What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
To determine the the proportion of variation in weight that can be explained by the linear regression line between weight and chest size, we need to obtain the Coefficient of determination(r^2) of the model.
r^2 = square of the correlation Coefficient
r^2 = 0.989^2 = 0.978121
Hence, about 0.978 (97.8%) of the variation in weight can be explained by the linear relationship between weight and chest size.
What will be the effect on the graph of y = |x| if x is replaced with -x?
A. a vertical shift
B. no change
C. a reflection over the x-axis
D. a horizontal shift of 1 unit to the left
The vertical lines on each side of the x mean it is the absolute value of x.
Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.
The answer is B.
There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.
Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
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. A salesman sold 300 bags of maize to a retailer at Kshs .2000 each .He was given a commission of 3%.The salesman allowed a discount of 0.2% on the maize sold. This discount was deducted from his commission. (a) Calculate (i) The discount allowed
Answer:
The discount allowed per bag is kshs 4
while the discount allowed on all the 300 bags is kshs 1,200
Step-by-step explanation:
Here, we are interested in calculating the discount allowed on the sales of the bag of maize.
From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.
Now, to find the amount of this, we proceed as follows;
What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.
The discount on each bag of maize would be;
0.2% of kshs 2000
That would be;
0.2/100 * 2,000 = 400/100 = kshs 4
Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200
Piper deposited $734.62 in a savings account that earns 2.6% simple interest. What is Piper's account balance after seven years?
Answer:
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Step-by-step explanation:
first see te interest :
A=prt (p is the deposited amount, r is the rate , t is the time)
A=734.62 *(2.6/100)* 7
A=133.70084
Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars
Answer:
$868.32
Step-by-step explanation:
First you need to multiply 734.62 by 2.6%.
734.62 x 0.026 = 19.1
Then we need to multiply that by 7 (because 7 years).
19.1 x 7 = 133.7
Then add that to the initial deposit.
734.62 + 133.7 = 868.32
So after 7 years in a savings account your $734.62 would become $868.32.
Gene is playing a game with a bag of marbles. 3 of the marbles are blue, 4 are green, and 7 are yellow. See below for awarded prizes. $2 green $0.5 yellow $4 blue What is the expected cost (or payout for Gene's game?
Answer:
$23.5Step-by-step explanation:
Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;
If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12
If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0
If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5
Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.
Hence Gene expected cost will be $21.5
A, B, C, D, E, F, ... 2, 3, 5, 7, 11, 13, ... what number is the letter Z replaced with?
Answer:
Z=101
Step-by-step explanation:
A=2
B=3
C=5
D=7
E=11
F=13
From the above illustration, it can be deduced that A to Z represent prime numbers in ascending order.
Prime numbers are natural numbers that are greater than 1 and are only divisible by 1 and itself.
Therefore,
G=17
H=19
I=23
J=29
K=31
L=37
M=41
N=43
O=47
P=53
Q=59
R=61
S=67
T=71
U=73
V=79
W=83
X=89
Y=97
Z=101
What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1). –2 Negative one-half One-half 2 Mark this and return
Answer:
-2
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(-1 - 1) / (1 - 0) = -2 / 1 = -2
y = -2x + b
plug in an (x, y) value to find b
1 = -2(0) + b
1 = -2 + b
b = 3
y = -2x + 3
rate of change is -2
Answer:
-2
Step-by-step explanation:
write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).
A) 3x+4y=7 B) 3x-4y=-7 C) 3x-4y=7 D) -3x-4y=7 E) 4x-3y=7
Answer:
C) 3x - 4y = 7
Step-by-step explanation:
The midpoint of AB is
M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)
Line AB has slope:
(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3
Slopes of perpendicular lines are negative reciprocals.
A perpendicular to line AB has slope 3/4.
The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]
[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]
[tex] 4y + 4 = 3(x - 1) [/tex]
[tex]4y + 4 = 3x - 3[/tex]
[tex]3x - 4y = 7[/tex]
Answer:
C
Step-by-step explanation:
Segment joining a and b
m = 8/(-6) =-4/3
For that of the perpendicular bisector...
m = 3/4
Midpoint of Segment joining a and b
([-2+4]/2 , [3-5]/2)
=(1, -1)
y=mx+c
-1=(3/4)(1)+c
c= -7/4
y=3x/4 - 7/4
4y=3x - 7
3x-4y = 7
ast week, the Vargas family drove 30 miles in their car and 15 miles in their truck. The letter m stands for the total number of miles they drove. Which equation can you use to find m?
Answer:
m = 30 + 15
Step-by-step explanation:
The distance traveled by the Vargas family in their car is 30 miles while the distance traveled when using their truck is 15 miles. To get the total distance traveled, we need to add the distance traveled by the truck and the distance traveled by the car. Since m stands for the total number of miles they drove, the equation needed to find the total distance traveled (m) is given as:
m = 30 + 15
m = 45 miles
Find the coordinates for the function,
1.) f(x)=-2(2.5)
2.) f(x)= 4(1.5)
Answer: 1: Slope 0 Y- Intercept -5
2: Slope 0 Y- Intercept 6
Step-by-step explanation:
WILL CHOOSE BRAINLIEST Let Events A & B be described as follows: P(A) = watching a movie P(B) = going out to dinner The probability that a person will watch a movie is 62% and the probability of going out to dinner is 46%. The probability of watching a movie and going out to dinner is 28.52% Are watching a movie and going out to dinner independent events? Group of answer choices No, because the P(A)P(B) ≠ P(A and B). Yes, because the P(A)P(B) = P(A and B). No, because the P(A) + P(B) ≠ P(A and B). Yes, because the P(A) + P(B) is greater than 100%.
Answer:
Yes, because the P(A)P(B) = P(A and B)
Step-by-step explanation:
Independent Events are events that occurs simultaneously i.e they occur at the same time. This means that the occurrence of one does not affect the other. If A and B are two events, for the to be independent then;
P(A and) = P(A)P(B)
Given: P(A) = watching a movie = 62% = 0.62
P(B) = going out to dinner = 46% = 0.46
The probability of watching a movie and going out to dinner will be
P(A and B)
P(A and B) = 0.62×0.46
P(A and B) = 0.2852
P(A and B) = 28.52%
Since the probability of watching a movie and going out to dinner is 28.52% which tallies with the question, hence it can be concluded that watching a movie and going out to dinner are independent events.
please helppp ill give brainliest the question is attached below
Answer: It is false, the diameter is not 16 m.
Step-by-step explanation:
P 4m are 8 m are 32 m away. The diameter= 32 m.
(I hope its rights!!!)
7(x+1)=21 solve for x
15 points! I will give Brainliest and heart! Answer ASAP but with DETAIL, I need step - by - step, clear words, correct grammar. A pair of equations is shown below: y = 3x − 5 y = 6x − 8 Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points) Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer. (5 points)
Hey there! I'm happy to help!
PART A
Let's look at our two equations.
y=3x-5
y=6x-8
We will solve this with substitution because we have two different values for y, so it will be be very easy to substitute.
We know that y is equal to 6x-8. This means that we can replace the y in the first equation with 6x-8 and then solve for x.
6x-8=3x-5
We add 8 to both sides.
6x=3x+3
We subtract 3x from both sides.
3x=3
We divide both sides by 3.
x=1
We can plug this x-value into either of our equations to figure out what y is.
y=6(1)-8
y=6-8
y=-2
Therefore, our solution is x=1 and y= -2.
PART B
When graphing the two equations in a systems of equation, the point where they intersect is the solution. We already have our solution, so now we will just write it as a point, which is (1,-2).
Have a wonderful day! :D
Answer:
see below
Step-by-step explanation:
y = 3x − 5
y = 6x − 8
I will use substitution by substituting for y in the first equation
y = 3x − 5
6x -8 = 3x-5
Subtract 3x from each side
6x-3x -8 = 3x-5-3x
3x-8 = -5
Add 8 to each side
3x-8+8 = -5+8
3x =3
Divide by 3
3x/3= 3/3
x =1
Now find y
y = 3x − 5
= 3(1) -5
=3-5
= -2
( 1,-2)
The two lines will intersect at ( 1,-2)
The solution to the two equations is where the lines intersect.
the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
The answer is A pls mark me brainly
Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?
Answer:
7
Step-by-step explanation:
If we call the number of worms in a can x, we can write:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 7 worms
40 POINTS!! AND BRAINLIEST!! The equation of the line is Y=2.x- 1.8. Based on the graph which of the following are true?
(select all that apply)
A. If tony stays for 30 minutes in the record store it is likely her will spend $70
B. Each additional minute tony spends in the store is associated with an additional cost of $2.40
C. The correlation coefficient for the line of best fits 2.4
D. The line of best fit will have a positive correlation coefficient.
Answer:
The correct statment is B.
Step-by-step explanation:
A. is not correct: y = 2.4(30) - 1.8 does not equal 70...
B. Is correct because the slope is 2.4 From the equation
C. is not correct because the points have no 2.4 (maybe 2.2)? difference.
D. is not correct. the correlation isn't positive.
A rectangular sheet of steel is being cut so that the length is four times the width the perimeter of the sheet must be less than 100 inches . Which inequality can be used to find all possible lengths,l.of the steel sheet
Answer:
w>10
length = 40
Step-by-step explanation:
Let
Width=w
Length=4w
Perimeter is less than 100 inches
Perimeter of a rectangle= 2( Length + width)
100 < 2(4w+w)
100 < 8w+2w
100 < 10w
w > 10
Length =4w
=4 × 10
=40 inches
Answer:
5/2l <100
Step-by-step explanation:
PLATO
thing
Fill in the blank with the correct response.
The slope of the graph of y= 5x is
ao
Answer:
slope is 5
Step-by-step explanation:
y = 5x
This is in the form
y = mx+b where m is the slope and b is the y intercept
The slope is 5 and the y intercept is 0
WILL GIVE BRAINLIEST
Question 8(Multiple Choice Worth 1 points) (06.04 LC) Choose the correct product of (6x − 2)(6x + 2). A.36x2 + 4 B.36x2 − 24x + 4 C. 36x2 + 24x + 4 D. 36x2 − 4
Answer:
D) 36x²-4
Step-by-step explanation:
36x²+12x-12x-4
36x²-4
[tex](6x - 2)(6x + 2) \\ = {(6x)}^{2} - {(2)}^{2} \\ = {36x}^{2} - 4[/tex]
Answer:
D.
[tex] {36x}^{2} - 4[/tex]
Hope you could understand.
If you have any query, feel free to ask.
Which graph represents a function?
Answer:
The first one is the only function
Step-by-step explanation:
You cannot have points on the same y gridline
If it is a function is has to pass the pencil test
Answer:
[tex]\boxed{Graph A.}[/tex]
Step-by-step explanation:
Hey there!
Well graph A is correct because if you do the vertical line test which decides is the graph is a function or not you can see that all the graph expect A have the vertical line go through 2 points.
Hope this helps :)
What is the difference between sin^-1 and sin?
Answer:
Step-by-step explanation:
sin of angle x is the trig ratio sine of x.
sin-1 x is the angle whose sine is x.
sin-1 x can also be written as arcsin x.
Please answer these 3 questions for 70 points 1 thanks 5 stars and brainiest
Answer:
Step-by-step explanation:
Problem 14: Mean 5.5, Range: 5.8
Problem 15: question #1 4, mode: 63
Probelm 16: Median 63, Range: 8.3
Answer:
14: Mean is 5.5 Hours
Range is 7.9 Hours
15: 4 Numbers
Mode is 6.3
16: Median is 6.3
Range is 8.3
Step-by-step explanation:
(I'll edit in the explanations momentarily)
The following equation has how many solutions? \left|x-1\right|=7 ∣x−1∣=7
Answer:
Two solutions.
[tex]x = 8, -6[/tex]
Step-by-step explanation:
Given the equation:
[tex]\left|x-1\right|=7[/tex]
To find:
Number of solutions to the equation.
Solution:
First of all, let us learn about modulus function.
[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]
i.e. Modulus function changes to positive by adding a negative sign to the negative values.
It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.
It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.
Here, the function is:
[tex]|x-1|=7[/tex]
So, two values are possible for the modulus function:
[tex]\pm(x-1)=7[/tex]
Solving one by one:
[tex]x-1 = 7\\\Rightarrow x =8[/tex]
[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]
So, there are two solutions, [tex]x = 8, -6[/tex]
Which statement is true about the solutions to x^2 - 1 = 24
A. There are two distinct irrational solutions.
B. There are two distinct rational solutions
C. There is only one rational solution
D. There is only one irrational solution
Answer:
B. There are two distinct rational solutions
Step-by-step explanation:
x^2 -1 = 24
Add 1 to each side
x^2 -1+1 = 24+1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
Answer:
B.
Step-by-step explanation:
x^2 - 1 = 24
x^2 = 25
Taking the square root of both sides:
x = -5, 5.
2 distinct rational solutions.
Which statement describes the graph of x = 4
Answer:
The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept
Step-by-step explanation:
So I think that the answer would be this, which means answer 1!! Hope this helps
Please help me in finding the answer. Find x. (Congruent triangles)
Answer:
6.71cm
Step-by-step explanation:
a²+b²=c²
6²+3²=x²
sqrt(6²+3²)=6.71
Answer:
[tex]\Large \boxed{\sf 6.71 \ cm}[/tex]
Step-by-step explanation:
The triangle is a right triangle. We can use Pythagorean theorem to solve for the hypotenuse.
a² + b² = c²
a and b are the lengths of the legs. c is the length of the hypotenuse.
6² + 3² = x²
Evaluate.
36 + 9 = x²
45 = x²
Take the square root of both sides.
√(45) = √(x²)
6.7082039325... = x
