Step-by-step explanation:
rate X time = distance
distance / rate = time
27.5 km / (11 km/hr) = time = 2.5 hrs
Answer: 2.5 Hours
Step-by-step explanation:
There are many ways to solve this problem but one way to solve this is to divide. This means do 27.5 divided by 11 and you should get 2.5. In all, Joe rode his bike for 2.5 Hours. ;)
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow. Their answers are shown below:
Blue
Red
Red
Green
Yellow
Red
Red
Red
Complete the frequency table.
Colour
Red
Blue
Red
Yellow
Red
Blue
Green
| Yellow 1111
Green
Blue
Green
Blue
Tally
Un Un
un
Analysing and Displaying Data
Yellow
Yellow
Blue
Red
Frequency
Red
Red
Blue
Yellow
The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
It is given that:
24 children were asked which is their favourite colour from a choice of red, blue
green or yellow
From the data given in the question.
Red : 6
Blue: 4
Green: 8
Yellow : 1 (half of 2)
Pink: 1 (half of 2)
Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).
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If the 13th term in a linear sequence is 92 and the 28th term in the sequence is 152, what is the 6th term in the sequence?
Answer:
ueolrkkrirllelelkrururklñeñrllkrkkrlrllrllrlrlki
Rowanda jogged 2.13 kilometers farther than Terrance.
Select the values that could represent how far each student jogged.
Select all that apply.
A Rowanda: 6.9 km, Terrance: 4.77 km
B Rowanda: 4.7 km, Terrance: 2.67 km
C Rowanda: 7.27 km, Terrance: 5.14 km
D Rowanda: 3.52 km, Terrance: 1.49 km
Answer:
A and C
Step-by-step explanation:
What is the answer to the equation 3 1/5 +n=9?
Answer:
n= 5 4/5
Step-by-step explanation:
3 1/5+5 4/5=9
Divide 2/3 divided by 1/6
Answer:4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
What is the mean absolute deviation
of the following set of data?
4
6
6
2
Pls help.
Answer:
72
Step-by-step explanation:
4+6+6+2=18
and u added 4 numbers so 18×4=72
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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In how many ways can Tim draw a red or a green marble from a jar containing 20 red marbles and 4 green marbles?
The correct answer to how many different ways he can draw is 24.
On Saturday, Ms. Rivera went to the store with $50. She needed to get clothes for the gym. She bought 5 pairs of socks for $3 dollars each, then paid $25 for shorts. Thankfully, Ms. Rivera had a coupon for half off everything! How much money did Ms. Rivera go home with?
Answer:
20
Step-by-step explanation:
She bought 5 pairs of socks which are 3 dollars each
(5 times 3 = 15 )
With the 25 dollar shorts
( 25 + 15 = 40 )
with a coupon of half off
( 40 divided by 2 = 20)
statistics...relative frequency
The relative frequency for the class with lower class limit 15 is:
R = 10/41 = 0.244
How to find the relative frequency?Let's suppose you have a set of N elements, such that K of these N elements has a given property.
Then the relative frequency for the elements with that given property is:
R = K/M
By looking at the table, we can see that the total number of students is:
T = 10 + 6 + 5 + 9 + 3 + 8 = 41
And 10 belong to the class with the lower class limit 15, then the relative frequency for that class is:
R = 10/41 = 0.244
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20) Sue had these expenditures for her car: April, $138.49; May, $356.75; June, $272.35; July, $417.28. What was
her average monthly expense for her car?
a.) $276.22
b.) $296.22
c.)$286.22
What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12
Picture of the right answers
Hence, the quotient of the rational expression given below is x-3.
How to solve?
To solve the division we will use basic properties of rational numbers here.
The first step is to factor numerator/denominator if possible.
To divide the expressions follow the following steps
1.leave the first fraction as it is
2. Convert division to multiplication
3.Turn the second fraction upside down
(\(x^{2}\)+5x+6)/x-6 / (\(x^{2}\)-9)/2x-12
=(\(x^{2}\)+5x+6)(2(x-6))/(\(x^{2}\)-9)(x-6)
=2(\(x^{2}\)+5x+6)/\(x^{2}\)-9
By splitting the quadratic equation into factors we get,
\(x^{2}\)+5x+6=(x+2)(x+3)
and using the formula \(a^{2}\)-\(b^{2}\)=(a-b)(a+b) we get \(x^{2}\)-9=(x-3)(x+3)
=2(x+3)(x+2)/(x+3)(x-3)
=2(x+2)/(x-3)
hence, the quotient of the given ration expression is x-3.
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simplyfy (2 − 4) − (3 + 5) + ( − 6) − (5 + 7)
Answer:
= 55/3
Step-by-step explanation:
yw ;)
solve ax^2-c=0 assume a and c are positive
9514 1404 393
Answer:
x = ±√(c/a)
Step-by-step explanation:
Undo what is done to x.
ax² -c = 0
ax² = c . . . . . . add c
x² = c/a . . . . . . divide by a
x = ±√(c/a) . . . . take the square root
What is a mutual fund’s
A pool of money where investors buy shares and a fund manager invests them and gives the investor the return; the way that most Americans invest their money because of the ease. hope that helps!
a piece of metal has a mass of 2210g the volume of the metal is 260cm3 what is the density of the piece of metal
Answer:
The density is 8.5 g/cm³
Step-by-step explanation:
The density formula is density = mass/volume
When we plug our numbers into the formula, we get:
Density = 2210 / 260
We can then solve and get our answer 8.5 g/cm³
It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 . The density is 8.5 g/cm³.
How are density, volume and mass of a substance related?Suppose that a finite amount of substance is there having its properties as:
The mass of substance = m kg
The density of substance = d kg/m³
The volume of that substance = v m³
Then, they are related as:
\(d = \dfrac{m}{v}\)
It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 .
density = mass/volume
When we substitute our numbers into the formula, we get:
Density = 2210 / 260
Density = 8.5 g/cm³
It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 . The density is 8.5 g/cm³
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The values of x and y are proportional. proportionality (k) and find the missing values. 2. UX x 6 15 9 y 42 200 d. X 14 y 21 6 15 3 7 8 Determine the constant of proportionality
Step-by-step explanation:
To determine the constant of proportionality (k) in a proportional relationship, we need to compare corresponding values of x and y and calculate the ratio between them.
Let's examine the given values:
2. UX: x 6 15 9 y 42 200
To find the constant of proportionality (k), we can take any pair of corresponding values and calculate their ratio. Let's choose the first pair: (6, 42).
k = y / x
k = 42 / 6
k = 7
So, the constant of proportionality (k) is 7.
Now, let's find the missing values for the second set of values:
d. X: 14 y: 21 6 15 3 7 8
Since we know the constant of proportionality is 7, we can calculate the missing values of y by multiplying each corresponding x value by 7.
Missing values for y:
- For x = 21, y = 21 * 7 = 147
- For x = 6, y = 6 * 7 = 42
- For x = 15, y = 15 * 7 = 105
- For x = 3, y = 3 * 7 = 21
- For x = 7, y = 7 * 7 = 49
- For x = 8, y = 8 * 7 = 56
Therefore, the missing values of y are: 147, 42, 105, 21, 49, and 56.
I need help with this please:
Answer:
B and C
Step-by-step explanation:
4/7 = 0.57
2/3 > 4/7
is this khan academy?
Answer:
C
Step-by-step explanation:
Because 2/5 equal .4 in decimal. .57 is equal to 4/7 and 2/3 is .666 repeating
On an airplane, there are two seats on the left side in each row and three seats on the right
side. There are 160 seats altogether.
Answer:
I don't think you put the whole question, but if you're asking how many rows there are, it's 32
Step-by-step explanation:
Answer:
32 rows??
Step-by-step explanation:
If you are looking for rows it would be 32. A total of 5 seats in a row, 160 divided by 5, is 32.
Will give brainliest
Answer:
Perpendicular
Step-by-step explanation:
Answer:
Perpendicular
Step-by-step explanation:
They form a 90 degree angle.
A textbook store sold a combined total of 386 chemistry and physics textbooks in a week. The number of chemistry textbooks sold was 84 more than the number of physics textbooks sold. How many textbooks of each type were sold?
Answer: 240
Step-by-step explanation:
We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.
Altogether, the bookseller sold 240 math and history textbooks. So:
x + y = 240
Now, the number of history textbooks sold was 72 less than the number of math books sold. So:
y = x - 72
Now we can substitute for y in the equation and solve:
x + y = 240
x + (x - 72) = 240
2x - 72 = 240
2x = 312
x = 156
The bookseller sold 156 math textbooks.
Since y = x - 72, he must have sold 84 history textbooks.
Let's check our answers:
x + y = 240
156 + 84 = 240
That is true, so we did get the correct answers.
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment. On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod. If such defective rods can be cut so that there is at least 15 consecutive inches without a groove, then the rods can be salvaged for other purposes. If the location of the groove on a rod is described by a uniform distribution, what is the probability that a defective rod can be salvaged?
Answer:
The probability that a defective rod can be salvaged = 0.50
Step-by-step explanation:
Given that:
A machine shop produces heavy duty high endurance 20-inch rods
On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.
If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.
Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches
Now:
P(X ≤ 5) = \(\dfrac{5}{20}\)
= 0.25
P(X ≥ 15) = \(\dfrac{5}{20}\)
= 0.25
The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)
= 0.25+0.25
= 0.50
∴ The probability that a defective rod can be salvaged = 0.50
Jina,tony, and Henry have a total cost of $70 in their wallets. Tony has 2 times what Henry has. Henry has $10 more than Jina. How much do they have in their wallets?
Answer:
Jina has $10,
Tony has $40,
and Henry has $20
Step-by-step explanation:
So if we use a little bit of algebra, let's say
Jina's amount = a.
Henry has $10 more than Jina, so that would make Henry's amount: a + 10. Tony has two times more dollars than Henry, so multiply Henry's amount
(a + 10) by 2, and you get: 2(a + 10).
Here's to make things easier on the eye for you:
Jina's amount = a
Henry's amount = (a + 10)
Tony's amount : 2(a + 10)
Next, form an equation by adding each of the three's amounts together:
Jina's amount + Henry's amount + Tony's amount
= a + (a + 10) + 2(a + 10)
= a + a + 10 + 2a + 20
(add the a's together and the numbers together. Then, put the total amount, $70, on the other side of the equation)
4a + 30 = 70
(subtract 30 from both sides of the equation: 4a + 30 - 30 = 70 - 30)
= 4a = 40
(and now, simplify by dividing by 4)
a = 10
Substitute 10 for a:
Jina: a = $10
Henry = (a + 10) = (10 + 10) = $20
Tony = 2(a + 10) = 2(10 + 10) = 2(20) = $40
Add them all up if you want to check if its correct:
$10 + $20 + $40 = 70$ ✔
Sorry if this explanation was a bit long, I hope you understand ^^.
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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Which is an equivalent expression for 6(2y+4)+5y?
please help
Answer:
17y+24
Step-by-step explanation:
simplify so the first step would be to multiply whats in the parentheses by the number outside in this case its 6 youd get:
12y+24+5y
then you simplify farther by adding like terms
17y+24
The perimeter of a rectangular ink pad is 22 centimeters the area is 28 square centimeters
Answer
W=7
Explanation:
The formula for the perimeter for a rectangle is P = 2L + 2W
The formula for the area of a rectangle is A = LW
where L = length and W = width
P = 22 and A = 28
22 = 2L + 2W
28 = LW
Rewriting the 2nd equation L = 28/W
Substituting this into the first equation
22=2(28/W) + 2W
Reworking the equation to eliminate the denominator
22W = 2(28) + 2W2
22W = 56 + 2W2
and
2W2 - 22W + 56 = 0
Dividing by 2
W2 - 11W + 28 = 0
(W-7)(W-4)
Set each factor equal to 0 and solve each for 0
W = 4, W = 7
then W = 4
I got help from my tutor
your welcome
12. Find the missing angles in the triangles.
The missing angles on the figure are as follows
v = y = 90 degreesz = 52 degreesw = x = 45 degreesHow to find the missing anglesThe missing angles ae solved as follows
v = y vertical angles theorem
Examining the figure shows that
v + 90 = 180 angle on a straight line
hence v = 180 - 90 = 90
so we can say that v = y = 90
Also, y + 38 + z = 180 angles in a triangle
90 + 38 + z = 180
z = 180 - 90 - 38
z = 52 degrees
furthermore, w = x base angle of isosceles triangle
w + x + v = 180
w + x + 90 = 180
w + x = 90
hence w = x = 45 degrees
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Solve. URGENT!!!!!!!!!!!
Answer:
If the mown take longer than 4 hours chooce david , if less then 4 hours choose ari
Step-by-step explanation:
15+5.50x=12+6.25x
x=4
Answer:
4
Step-by-step explanation:
A box contains 10 balls, of which 3 are red, 2 are yellow, and 5 are blue. Five balls are randomly selected with replacement. Calculate the probability that fewer than 2 of the selected balls are red.
Answer:
The required probability is 0.1.
Step-by-step explanation:
red balls = 3
yellow balls = 2
blue balls = 5
Selected balls = 5
Number of elemnets in sample space = 10 C 5 = 1260
Ways to choose 1 red ball and 4 other colours = (3 C 1 ) x (7 C 4) = 105
Ways to choose 5 balls of other colours = 7 C 5 = 21
So, the probability is
\(\frac{105}{1260} + \frac {21}{1260}\\\\\frac{126}{1260}=0.1\)