The number of shirts Kelly has to choose from is 2, namely Redshirt and Pink shirt. Computed using the Cartesian Product of sets.
What is the Cartesian Product of two sets?The cartesian product of two sets A and B is a set containing ordered pairs (x, y), for every x ∈ A, and every y ∈ B.
How to solve the question?In the question, we are informed that Kelly is picking out an outfit to wear. The organized list below represents the sample space of all possible outfits.
Redshirt – Black pants
Redshirt – White pants
Pink shirt – Black pants
Pink shirt – White pants
We are asked to find the number of different color shirts Kelly has to choose from.
Assuming the sample space to be the Cartesian Product of the set of shirts and set of pants, we can write the set of shirts as the first element of every ordered pair to get:
Set of Shirts = {Redshirt, Redshirt, Pink Shirt, Pink Shirt}.
Removing the repeating terms, we get:
Set of Shirts = {Redshirt, Pink Shirt}.
Thus, the number of shirts Kelly has to choose from is 2, namely Redshirt and Pink shirt. Computed using the Cartesian Product of sets.
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You have 120 pieces of fabric to make a blanket. Each piece of fabric is the square with a side length of 6 inches. You use as many pieces of fabric is possible to create a square blanket. What is the area of the blanket
Answer:
Step-by-step explanation:
Hello! So, you use 120 pieces of fabric. You could not use all 120 pieces, because you can not make a square. The most you could use to make a square is 100. That would be 10 squares a row, with a side length of 6, which would make a perimeter of 60. Then, the other side would be 60. So 60 * 60 is 3600. The area of the blanket is 3600 square inches.
Find an equation of the line that has a y-intercept of -2 and is perpendicular to the graph of 3x+6y=2
1 __ 6/3 Is less than greater than or =
Lisa has a rope that measures 9 1 4 feet in length. She will cut the rope into pieces that are each 3 4 foot long. How many full pieces can Lisa cut from her rope, and how much of her rope will be remaining?
Answer:
B)
Step-by-step explanation:
Hope this helped!
The number of pieces can Lisa cut from the rope is 12 and the rope will be 0.33 (or 1/3) feet remaining.
What is the division operation?/ Division operation: In the arithmetic, Divides left-hand operand by right-hand operand.
For example 44/4 = 11
Given that Lisa has a rope that measures 9 1/4 feet in length.
And she will cut the rope into pieces that are each 3/4 foot long.
We have to determine the number of full pieces can Lisa cut from her rope.
The length of the rope:
⇒ 9 1/4 = 9.25
The length of the pieces that are each foot:
⇒ 3/4 = 0.75
The number of pieces can Lisa cut from the rope
⇒ 9.25 / 0.75 = 12.33
She has need full pieces so the number of pieces would be 12.
Therefore, the rope will be 0.33 (or 1/3) feet remaining.
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A right rectangular prism is 5 inches long, 12 inches wide, and 8 inches tall. The diagonal of the base is 13 inches.
The area of the cross section that is perpendicular to the base and created by a plane that slices the prism through the diagonals of the base and its opposite face is _ ?
square inches.
Answer:
Area of cross section is 104 [tex]\:inche^2[/tex]
Step-by-step explanation:
Given Dimensions of Rectangular prism are Length = 5 inches, Width = 12 inches and Height = 8 inches.
The shape of the cross section that is perpendicular to the base and created by slicing the prism through diagonals of top and bottom is Rectangle.
Length of rectangle = Length of diagonal of base & top = 13 inches
Width of Rectangle = Height of Prism = 8 inches
Area of Cross Sectional Rectangle = Length × Width
= 13 × 8
= 104 [tex]\:inche^2[/tex]
Therefore, Area of cross section is 104 [tex]\:inche^2[/tex]
A rectangular garden is 8 ft wide and 15 ft long. A diagonal path cuts through the garden. How long is the path?
3
7
13
17
What is the answer of this question 67% of 8.7=
Determine the slope of the line that passes through the points: x−4034y−351113
-2+3n>-14
A -16/3
B -3
C -20/3
D none of the above
Translate the problem into a mathematical sentence, using f as your variable name. Do not use spaces in your answer. (If necessary, use a star [ * ] for multiplication, or a slash mark [ / ] for the division bar.)Jay is making a documentary on the opinions of Cortland residents toward a local sports team. If he talks to 8 people, and each interview lasts 3 minutes, how long will the film be?Answer:
10. Solve the equation for f. Show all of your work.
4f-5=7h+g
Marlene rides her bicycle to her friend Jon's house and returns home by the same route. Marlene rides her bike at constant speeds of 6 mph on level ground, 4 mph when going uphill and 12 mph when going downhill. If her total time riding was 2 hours, how far is it to Jon's house?
x = level ground
y = hills
x/6 +y/4 +y/12 + x/6 = 2 hours
multiply everything by 12 to get rid of the denominators:
equation becomes 2x +3y +y +2x = 24
combine like terms:
4x +4y = 24
divide everything by 4
f +h = 6 miles to Jon's house
Jon's house is 6 miles further away from Marlene's house.
Given that:
Speed on level ground is 6 mph
Speed on uphills is 4 mph
Speed on downhills is 12 mph
Let there are x miles level ground and y miles hills(either up or low, which while returning to home will serve as low or up respectively) in the route, then the whole route's length is x + y miles.
Since time taken = distance/speed , thus we have:
[tex]2 = \dfrac{x}{6} + \dfrac{y}{4} + \dfrac{x}{6} + \dfrac{y}{12}\\\\\text{Multiplying 12 on both sides}\\\\24 = 4x + 4y\\6 = x + y[/tex]
Since x + y denotes the length of the whole route(one sided), thus, Jon's house is 6 miles further away from Marlene's house.
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write the base-ten number for forty-two
The base-ten number for 'forty-two' is written simply as '42'. This is derived from the base-ten system (or the decimal system), where each digit represents a certain amount of tens.
Explanation:The base-ten number for forty-two is simply written as 42. The base-ten system, also known as the decimal system, is called so because it uses 10 as its base. Each digit in a base-ten number represents a certain amount of tens. For example, the number 42 consists of 4 tens and 2 ones. This is derived from our counting system being based on increases of ten; each place in our numbering system is ten times greater than the place to the right of it. This originated from human beings having ten fingers which were used in counting.
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A music store sold 10 to the third CDs and ten to the second CDs players if each CD costs $12 and each CD player costs $35, what was the stores total earnings
For
5(x − 4)2,
the order of operations requires that we multiply
(x − 4)(x − 4)
before multiplying by the numerical coefficient 5. Use the order of operations in this exercise. (Simplify your answer completely.)
2(x + 3)2
A family budgets 1/2 of its income for housing and 1/3 for food. What fraction of their budget do these expenses cover?
solve the equation for y
5 ( y + 1 ) = 30
y = ??
Write using algebra.
A bucket holds c liters of water, but a jar holds 8 liters less. How many times as much water can the bucket hold as the jar?
The ratio representing how many times as much water the bucket can hold as the jar is [tex]\frac{c}{c-8}[/tex], where c is the capacity of the bucket in liters.
If a bucket holds c liters of water and a jar holds 8 liters less than the bucket, then the jar holds c - 8 liters of water. To find how many times as much water the bucket can hold as the jar, we divide the bucket's capacity by the jar's capacity. This gives us the ratio of the bucket's capacity to the jar's capacity, which is [tex]\frac{c}{c-8}[/tex].
Which ordered pair is a solution of the equation y= -5/4 -2
Answer:
-3 1/4Step-by-step explanation:
We have been given an equation in which y equals something. Whenever that is the case, it means that if we solve the other side, this case -5/4 - 2, we have solved for y.
-5/4 - 2 = -3 1/4 so.... y = -3 1/4
PLEASE MARK BRAINLIEST
A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The probability of picking a green marble is 50%. Determine the probability of picking a red marble from the bag and then classify the probability of picking a red marble as likely or not likely to occur.
Hello!!
This is the correct answer.
Probability (Blue Marble) = 20%
Probability (Green Marble) = 50%
Probability (Red Marble) = ?
20% - 50% = 30%
The probability of picking a red marble from the bag is 30%.
Likely is defined as 50% so in this case, the probability of picking a red marble is not likely.
Hope this helps!!!!
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47% percent simplest form
Explain the importance of correctly placing the decimal point in the quotient of a division problem. IF YOU HAVE TIME PLEASE HELP ME IN THOSE OTHER 2 MORE QUESTIONS. Thanks
The value of reminder will change when we place the decimal value improperly
importance of correctly placing the decimal point in the quotient of a division problem
What is Number system?Representation of numbers by using digits or other symbols in a consistent manner is called Number system.
When we place the decimal point in quotient improperly, the value of quotient will change, as the value of quotient changes the remainder will change and we will get the inappropriate answer of division. To ignore this we should place the decimal value properly to get the approximate answer
The value of reminder will change when we place the decimal value improperly . Therefore placing the decimal point in the quotient of a division problem is important,
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Find the total cost to the nearest cent $1,500 computer; 7% tax?
need help with some questions please
In triangle ABC, the measure of angle A is , the measure of angle B is , and the measure of angle C is . What is the combined measure of the three angles?
The combined measure of the three angles in triangle ABC is angle A + angle B + angle C degrees.
Explanation:The combined measure of the three angles in triangle ABC can be found by summing the measures of angle A, angle B, and angle C.
So, the combined measure of the three angles is angle A + angle B + angle C = angle A + angle B + angle C degrees.
For example, if angle A = 40 degrees, angle B = 60 degrees, and angle C = 80 degrees, then the combined measure of the three angles would be:
40 + 60 + 80 = 180 degrees.
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Explain the steps when solving 3(N+5)>= 3n+8. Please explain how to solve.
Estimate 63 squared to the nearest tenth
What is 2,117 divided by 3
Which number is not in scientific notation? 11 ⋅ 1021 5.7 ⋅ 109 3.1 ⋅ 10−12 1.67 ⋅ 10−5
Answer:
11 * 10^21
Step-by-step explanation:
I took the test
what is 21divided by 7/4