The total number of ways or permutations in which that can be done are: d. 5040 different ways
To solve this problem the formula and the permutation procedure we must use is:
nPr = n! / (n-r)!
Where:
nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 7 (sweatshirts)r = 7 (days)7P7 =?Applying the permutation formula we have:
nPr = n! / (n-r)!
7P7 = 7! / (7-7)!
7P7 = 7! / 0!
7P7 = 7! / 1
7P7 = 7 * 6 * 5 * 4 * 3 * 2 * 1 / 1
7P7 = 5040
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
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Please help me with this. 3 pieces of gum cost 25 cents. How many pieces of gum can you buy for $1.00?
Answer:
12 pieces
Step-by-step explanation:
There are four 25 cents in a dollar, as a dollar is 100 cents and 100 divided by 25 is four. So as 3 pieces cost 25 cents, multiply 3 by 4 which is 12.
12 pieces of gum would cause $1.00
Answer:
You can get 12 pieces of gum.
Step-by-step explanation:
3 pieces is 25, right? so now to make a dollar you can have four of 25 cents, so multiply, 3x4. You get 12. so you can buy 12 pieces of gum.
i need help pls pls pls
Answer:
there is no picture??????????
HELPPPP !! Find the measure of angle LMN if the measure of angle LMP is 107 !!
Answer:
m∠LMN = 29°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set up equation
m∠LMN and m∠NMP must add up to m∠LMP
(2x - 1)° + (5x + 3)° = 107°
Step 2: Solve for x
Combine like terms: 7x + 2 = 107Isolate x term: 7x = 105Isolate x: x = 15Step 3: Find m∠LMN
Define: m∠LMN = (2x - 1)°Substitute in x: m∠LMN = (2(15) - 1)°Multiply: m∠LMN = (30 - 1)°Subtract: m∠LMN = 29°2 + 2 = ?
5 + 5 = ?
4 + 2 = ?
What is the slope of the line that passes through the points (4, 6) and (-16,18)?
Answer: slope = -3/5
Answer:
-3/5
Step-by-step explanation:
18-6 = 12
-16-4 = -20
12 / -20
Simplify down to -3 / 5
mowing lawns earns $10.00 for 1 hour and $42.00 for 5 hours. what is the slope
Answer:
The slope is $8 per hour
Step-by-step explanation:
Here, we want to get the slope of the relation
Mathematically, that will be;
m = y2-y1/x2-x1
Where ; (no of hours, money) represents each point
Thus, we have it that
m = (42-10)/(5-1) = 32/4 = $8/ hour
Please help me thanks in advance it is much appreciated!!
Answer:
Step-by-step explanation:
C
Answer:
Yes, because two pairs of corresponding angles in the triangle are congruent. So the answer is A.
Step-by-step explanation:
Corresponding angles is an angle that is in the exact same spot as the other angle and they are congruent to each other which means that they have the same measure/number.
As the picture shows both triangles have all of their angles as the same measures.
What is the slope of the line that passes through the points (5, -2) and (7, -8)?
-5
-3
-5/6
-1/3
(also i have other questions if you can view the ones on my profile and answer them tysm)
Answer:
The slope is -3.
Step-by-step explanation:
The slope is equal to the change in y over the change in x.
First, we take the two y values, -2 and -8, and subtract the SECOND from the FIRST: -2 - (-8) = -2 + 8 = 6 (= change in y)
Second, we take the two x values, 5 and 7, and subtract the SECOND from the FIRST: 5 - 7 = -2 (= change in x)
Finally, we make a fraction, the change in y over the change in x:
6/-2 = -3
The slope is -3.
The coffee shop has the following menu prices.
Size Price
6 oz $2.10
8 oz $2.72
16 oz $4.80
20 oz $6.40
Which coffee purchase is the best financially responsible decision?
A.
16 oz coffee
B.
6 oz coffee
C.
20 oz coffee
D.
8 oz coffee
One bag of peanuts costs $1.52. How many bags
can you buy with $34.96?
Answer:
23
Step-by-step explanation:
just divide.....fjf
I WILL MARK BRAINLIEST
Given the equation y − 4 = three fourths (x + 8) in point-slope form, identify the equation of the same line in standard form.
Answer:
3x-4y=-40
Explanation
y-4=3/4(x+8)
distribute the 3/4
y-4= 3/4x + 6
add 4
y= 3/4x+10
then change to standard form
3x-4y=-40
a bacteria culture starts with 420 bacteria and grows at a rate proportional to its size. after 6 hours there will be 2520 bacteria.
Population growth rate of the bacterial culture can be expressed as a function of time as N = [tex]e^{kt + C}[/tex]
Step-by-step explanation:
If we assume the number of bacteria at any time (t) is (N). Then, the population of bacterial culture at that time is given by
N = N (t)
It is also given that the rate at which the bacterial culture will grow is proportional to its size. So, the growth rate is given by
dN/dt ∝ N
Removing the sign of proportionality, we get a constant
dN/dt = KN
We get
∫1/N dt = ∫K dt
After integration
ln N = Kt + C
N = [tex]e^{kt + C}[/tex]
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The question is incomplete. Therefore, the complete question is
A bacteria culture starts with 520 bacteria and grows at a rate proportional to its size. After 6 hours there will be 3120 bacteria. ?
1) Express the population after t hours as a function of t. population:
An artist bought twine for a project,and she traveled by bus when shopping for the twine.The total cost of her project,$17.50,included both the cost of the 5.8 yards of twine she bought and $3 in bus fares. Which of these shows the correct equation to determine the cost of the twine per yard along with the correct solution?
Answer:
it’s A
Step-by-step explanation:
It would be 17.50=5.8x+2
Cost:$2:50 per yard
what is the sequence of 9, 6, 4, 8/3
Answer:
2/3
Step-by-step explanation:
9*2/3=6
6*2/3=4
4*2/3=8/3
Is the graph increasing, decreasing, or constant?
2
4
B
A. Decreasing
B. Constant
C. Increasing
PLEASEEEEE HELPPPPP !!!!!!!!!!! I will mark Brianliesttttt !!!!!!!!!!!!!!!
Answer:
D. m<RST = 2(m<TSU)
Step-by-step explanation:
Given that m<RST = 76°, m<RSU = 48°, and m<TSU = 38°, this implies that:
SU is an angle bisector of angle RST. Thus,
m<RST is twice the measure of <RSU or <TSU.
Therefore, the only option that is correct is:
D. m<RST = 2(m<TSU)
The level of the tide in a harbor changes from 9 1/4 to 4 1/2 above sea level over a period of 3 1/4 h. Whatbis the rate of change in the tide level over this period of time?
Answer:
The answer should be -19/13 per hour. I think, I'm not completely sure.
Step-by-step explanation:
Find the difference of 9 1/4 and 4 1/2
divide by 3 1/4
simplify
4 1/2 - 9 1/4 = -19/4
-19/4 divided by 13/4 = -76/52
-76/52 = -38/26 = -19/13
So the answer should be -19/13 per hour.
The requried rate of change in the tide level over this period of time is 19/13h.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
To find the rate of change, we need to divide the change in the tide level by the time elapsed:
Change in tide level = 37/4 - 9/2 = 37 - 18/4 = 19/4
Time elapsed = 13/4 h
Rate of change = Change in tide level ÷ Time elapsed
= 19/4 ÷ 13/4
= 19/13 h
So, the rate of change in the tide level over this period of time is 19/13h.
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Long division was used here to divide the polynomial function p(x) = x3 + 7x2 - 20x -110 by (x - 5) and to divide it by (x + 5).
Using the information given above, p(-5) =
The value of the polynomial function at p(-5) is 40.
A polynomial is an expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables and is made up of indeterminates (also known as coefficients) and these operations.
In an equation such as the cubic equation, quadratic equation, etc., a polynomial function is a function that only uses positive integer powers or only positive integer exponents of a variable.A polynomial expression is one that can be created from variables and other constants and symbols by adding, multiplying, and raising it to a non-negative integer power. The constants, which represent mathematical objects that can be added to and multiplied, are often numbers, but they can also be any expression that does not contain the indeterminates.The given polynomial function is:
p(x) = x³ + 7x² - 20x -110
or, p(-5) = (-5)³ + 7(-5)² - 20(-5) -110
or, p(-5) = -125 + 175 + 100 - 110
or, p(-5) = 40
So the value of the polynomial function is 40.
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I don't know how to add fractions with the different denominator help me:
1/3+1/2=
Answer:
6÷1×2+1×3
5/6
i think that is
Answer:
5/6
Step-by-step explanation:
Well you need to make their denominators same by multiplying numerator and denominators by same number like I have shown below:
[tex] \frac{1}{3} \times \frac{2}{2} + \frac{1}{2} \times \frac{3 }{3} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6} [/tex]
Hope it helps
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A family has a hybrid car that gets 40 miles per gallon (mpg) and a pickup truck that gets 17 mpg. They drive at least 500 miles per week using both vehicles but don't want to use more than 20 gallons of gas. Make a recommendation for using each vehicle. Part A Write an expression that represents the total amount of gasoline used. Then write an inequality to show the maximum amount of gasoline that the family wants to use. Define the variables and list any constraints on the variables.
Answer:
[tex]Z=x+y[/tex]
[tex]x+y<20[/tex]
Step-by-step explanation:
Let the gallons of fuel used in the hybrid per week car be [tex]x[/tex] and [tex]y[/tex] be the number of gallons used in the pickup truck per week.
Number of miles driven using both vehicles is at least 500 per week. The inequality that represents the number of miles driven is.
[tex]40x+17y\geq 500[/tex]
The expression of total amount of fuel used would be [tex]Z=x+y[/tex].
Now the sum of the fuels used in both the cars is more than 20 gallons per week. The inequality that represents the total amount of gasoline used is
[tex]x+y<20[/tex]
what is this simplified?
Answer:
35/48
Step-by-step explanation:
35/48
Answer:
35/48
Step-by-step explanation:
It is already in it's simplest form.
Volume of Spheres
Volume of Spheres
Answer: V=500 cm³
Step-by-step explanation:
D=10 cm
[tex]\displaystyle\\r=\frac{D}{2} \\\\r=\frac{10}{2} \\\\r=5\ cm\\\\ V=\frac{4}{3} \pi r^3\\\\V=\frac{4*3*5^3}{3} \\\\V=4*5^3\\\\V=4*5*5*5\\\\V=500\ cm^3[/tex]
Jan finds the perimeter of this triangle by performing the
Perimeter = L+L+L
the following calculations. Determine where Jan made
a mistake and describe a method that would have gotten
the correct answer.
Plz help I’m stuck and I can’t answer
Answer: the first one is 14 and the second one is 5
Step-by-step explanation:
HELP PLEASEEEE !!Complete the equation of the line whose slope is 5 and y-intercept is (0, 4).
y=?
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line shown is 1
Slope of a lineThe formula for calculating the slope of a line is expressed according to the formula
Slope = Rise/Run
Slope = y₂-y₁/x₂-x₁
Using the coordinate point (1,-2) and (3, 0)
Slope = 0+2/3-1
Slope = 2/2
Slope = 1
Hence the slope of the line shown is 1
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what is the next step in solving this equation?
13-2(5x+1)=2-4x+3
13-10x -2=2-4x+3
11-10x=5-4x
answer choices
A. Subtract 5 from the left side
B. Add 10x to both sides
C. Subtract 11 from the right side
D. Subtract 4x from both sides
Answer:
B.
Step-by-step explanation:
remember, solving this means to get the variable alone on one side (it does not matter which side), and everything else on the other side.
but whatever changes we do (except for just completing local operations that were already there), we always have to do them to both sides to keep the equality alive. if we introduce a change of quantity on one side only, we break the equality, and we will not get a valid result anymore.
A. subtract 5 from the left side : no, it changes only the left side. the equality is broken.
B. add 10x to both sides. yes, it applies the change to both sides and will bring all terms of x to one side. perfect.
C. subtract 11 from the right side. no, it changes only the right side. the equality is broken.
D. subtract 4x from both sides. no. it does change both sides and keeps the equality, true, but it does not help us in solving the equation. it still keeps a mixture of x terms and constant terms on both sides. nothing changes in the structure.
What is the measure of x? *
X
80°
180 degrees
100 degrees
80 degrees
360 degrees
Answer: 80 degrees
Step-by-step explanation:
Answer:
80 degrees!
Step-by-step explanation:
There's this weird phenomenon with parallel lines, that if you trace a line over it, you would get the same angle on the opposite side of the line.
HELP NEEDED ASAP!! Amani computed in a two-way table the relative frequencies of sales of homes listed with two different real estate
companies.
Home Sales by Real Estate Company
Sold in
100 Days or Less
44.5%
45.1%
Did Not Sell
within 100 Days
55.5%
54.99
Company A
Company B
Which statement best describes the relationship between the two variables?
O There is an association because the relative frequencies by column are similar,
There is an association because the relative frequencies by row are similar.
There is no association because the relative frequencies by column are similar,
There is no association because the relative frequencies by row are similar.
Answer:
C
Step-by-step explanation:
Plssss helppp meeeeee