Answer:
6,435
Step-by-step explanation:
To find the number of ways the teacher can select the students, we can use the combination formula.
[tex]_{n}C_{k}=\dfrac{n!}{k!(n-k)!}[/tex]
n = 15
k = 7
Now let's plug it in.
[tex]_{n}C_{k}=\dfrac{n!}{k!(n-k)!}[/tex]
[tex]_{15}C_{7}=\dfrac{15!}{7!(15-7)!}[/tex]
[tex]_{15}C_{7}=\dfrac{15!}{7!8!}[/tex]
[tex]_{15}C_{7}=6,435[/tex]
So there are 6,435 ways that the teacher can select the students.
. Evaluate the following expression: 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2 A. 31 B. –31 C. 30 D. 21
To evaluate the expression, we follow the order of operations (PEMDAS). The result of the expression is 31.
Explanation:To evaluate the expression 24 ÷ 3 + 7 ⋅ 2 – 15 ÷ 5 + 6 ⋅ 2, we need to follow the order of operations, also known as PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, we perform the division: 24 ÷ 3 = 8.Next, we perform the multiplication: 7 ⋅ 2 = 14 and 6 ⋅ 2 = 12.Now, we can write the expression with the values we found: 8 + 14 - 15 ÷ 5 + 12.Then, we perform the division: 15 ÷ 5 = 3.Finally, we perform the addition and subtraction from left to right: 8 + 14 - 3 + 12 = 31.Therefore, the evaluated expression is equal to 31.
Define the following terms
a. Dividend
b. Divisor
c. Quotient
d. Remainder
Answer:
Dividend- The number that is divided is called the dividend
Divisor- a number that divides a integer ( It is the number that is divided by the Dividend)
Quotient- is the result when dividing.
Remainder- is the amount that is left over after dividing
Step-by-step explanation:
Example
36 ÷ 6 = 6
36 is the Dividend
6 is the Divisor
6 is the Quotient
No remainder
Hopes this helps!
I really need help with this, my teacher doesn't really teach and I'm stumped again.
Answer:
JMK = 54
JKH = 126
HLK = 90
HJL = 27
LHK = 63
JLK = 27
Step-by-step explanation:
Just use 180 for total angles in each triangle. Vertical angles mean the opposite to 126 is 126 and the other two that make up the inner vertices are (360- 126*2)/2 = 54
So, 126, `16, 54 , 54 are the inner angles in the circle. Just go from there.
What is the total sum of degrees in a triangle ?
Answer:
Step-by-step explanation: 180
I think the answer is 180
Please someone hurry. Please.
Please help and show work!! Will mark brainliest!!
Answer: Reserved = 431, General Admission = 1356
Step-by-step explanation:
Let x represent the Reserved tickets.
Let y represent the General Admission tickets.
Cost Equation: 4x + 3y = 5792
Quantity Equation: x + y = 1787
Use Elimination Method:
4x + 3y = 5792 → 1(4x + 3y = 5792) → 4x + 3y = 5792
x + y = 1787 → -3( x + y = 1787) → -3x - 3y = -5361
x = 431
Now substitute x = 431 into one of the original equations:
x + y = 1787
431 + y = 1787
y = 1356
HELP PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: C.
Step-by-step explanation:
All we need to do is add all the number together:
Convert to decimals for easier adding:
2.5+2.5+(3.5*5)+4.25+4.25+5.5=36.50km
Now we convert to a fraction: 36.50=36 2/4km
So the answer is 36 2/4km
What is a scientifically-based theory on finding perimeter?
Answer:
The concep of rectilinean line between point A and point B.
Search about euclidean laws.
Besr regards
The line between is point A and point B.
What is the value of the expression |3x-y| + |2y-x| if x= -4 and y= -1?
A. -13
B. -11
C. 11
D. 13
Answer:
D) 13
Step-by-step explanation:
3(-4)=-12+1=-11
2(-1)=-2+4=-2
11+2=13
An auditorium has three levels. Level 1 seats 3,577 people, Level 2 seats 5,214 people, and Level 3 seats 5,879 people. How many seats are in all three levels combined? A. 8,991 B. 14,670 C. 14,970 D. 14,370
3577+5214+5879
=8791+5879
=14670
Answer
B. 14,670
The total number of seats in all three levels of the auditorium is calculated by adding the number of seats on each level, resulting in 14,670 seats.
To calculate the total number of seats in all three levels of the auditorium, we add the number of seats available on each level together. The calculation is as follows:
Level 1: 3,577 seats
Level 2: 5,214 seats
Level 3: 5,879 seats
Add these numbers to get the total:
3,577 + 5,214 + 5,879 = 14,670 seats
Therefore, the correct answer is B. 14,670, which is the combined number of seats in all three levels of the auditorium.
need help azp plz it on the photo
1 + x < 5
the sum means addition, so the sum of 1 and x is 1 + x and less than 5 means exactly that, less than 5. The less than sign is represented by <
The statement "the sum of 1 and x is less than 5"written as an inequality is 1 + x < 5.
x < 4
How to write inequality?An inequality is a statement that is of two quantities one is specifically less than (or greater than) another.
The sum of 1 and x is less than 5
1 + x < 5
Subtract 1 from both sides
x < 5 - 1
x < 4
Therefore, x is less than 4
Read more on inequality:
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What is the value of the expression below? (4/5+3/5)+3.5*5
Step-by-step explanation:
(4/5+3/5)+3.5*5
= 7/5+7/2*5
= 7/5+35/2
= 14/10+175/10
= 189/10
= 18.9
Answer:
The value of the expression is 18.9
Step-by-step explanation:
The expression is:
[tex]\bigg( \frac{4}{5}+\frac{3}{5}\bigg)+3.5\times 5[/tex]
The first step is to solve the parenthesis. As both fractions have the same denominator, the numerators must be added:
[tex]\bigg( \frac{4+3}{5}\bigg)+3.5\times 5[/tex]
[tex]\bigg( \frac{7}{5}\bigg)+3.5\times 5[/tex]
The second step is to perform the division between 7 and 5, it is 1.4:
[tex]1.4+3.5\times 5[/tex]
The third step is to perform the multiplication between 3.5 and 5, it is 17.5:
[tex]1.4+17.5[/tex]
The last step is to perform the sum, it is 18.9:
[tex]1.4+17.5=18.9[/tex]
Thus, the value of the expression is 18.9.
kavitha is going to spin the following spinner 200 times the spinner is divided into equal sections
Answer: Close to 40 times but probably not exactly 40 times
Step-by-step explanation:
Answer:
Option (D) Close to 40 times but probably not exactly 40 times.
Which graph represents an exponential function?
Answer:
The first graph.
Step-by-step explanation:
An exponential function has a graph that is a smooth curve; it either increases at an ever increasing rate or decreases at an ever increasing rate.
The only graph that fits these characteristics is the first one.
Answer:
First graph is the exponential function
Step-by-step explanation:
The x value of exponential function is all real numbers
x can take any value positive or negative numbers
In the first graph , as x value increases the graph goes down
The first graph is an exponential function .
Second graph is the cubic function as the graph goes from left and it goes down on the right .
Third graph is an rational function because we have two graph on both sides of vertical asymptote
The fourth graph is not an exponential function as the domain is not all real numbers.
Lean more : brainly.com/question/15535185
Evaluate g(x)= 2/3x + 7 For x=9
A. 9
B. 25
C. 12.5
D. 13
Answer: 13
Step-by-step explanation:
In order to solve this equation you need to replace x with 9.
2/3 x 9 + 7=
6 + 7=
13
Mrs siebenaller recorded the average number of points a student earned on unit 3 and unit4 quizzes Unit 3 {2,4,2,3,5,2} Unit 4 {5,1,1,5 1,5} a. what is the mean point value for each unit? Please help
A frog catches insects for his lunch. The frog likes to eat flies and mosquitoes in a certain ratio, which is shown in the diagram.
The table shows the number of flies and the number of mosquitoes that the frog eats for two lunches.
Based on the ratio, complete the missing values in the table.
Day Flies Mosquitoes
Monday 151515
Tuesday
141414
Disregard Above
Use Picture
Answer:
ON MONDAY: 35 mosquitos.
ON TUESDAY: 6 flies.
Step-by-step explanation:
As you can see in the diagram, the frog eats 3 flies for every 7 mosquitoes (for lunch). Then you can expresed this ratio as following:
3:7 or [tex]\frac{3}{7}[/tex]
Based on the table:
-If the frog eats 15 flies on monday, then the number of mosquitos that it eats can be calculated as following:
[tex]\frac{3}{7}=\frac{15}{mosquitoes}\\\\mosquitoes=\frac{15*7}{3}\\\\mosquitoes=35[/tex]
-If the frog eats 14 mosquitoes on tuesday, then the number of flies that it eats can be calculated as following:
[tex]\frac{3}{7}=\frac{flies}{14}\\\\flies=\frac{14*3}{7}\\\\flies=6[/tex]
Find the radius of a circle with a circumference of 35 π yards
Answer:
17.5 yds because Radius is half of the circumference
Step-by-step explanation:
The radius of the circle with a circumference of 35 π yards is 17.5 yards.
Circumference of a circle:The circumference of a circle is the perimeter of a circle. Therefore,
circumference = 2πrwhere
r =radius
Therefore,
circumference = 35πyard
35π = 2πr
divide both sides by 2π
35π / 2π = 2πr / 2π
r = 17.5 yards
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A rectangular prism is 1 1/2 ft long, 2/3 ft wide, and 5/6 ft high. What is the surface area of the prism in square inches? show your work.
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ There are 6 surfaces:
2 of them have an area of 84 square inches
2 of them have an area of 37 1/3 square inches
2 of them have an area of 1
You add them all together, and you get:
Final answer:
244 2/3 square inches
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
The total surface area for the given prism is 808 square inches.
The question asks to calculate the surface area of a rectangular prism in square inches. The dimensions given are 1 1/2 ft (length), 2/3 ft (width), and 5/6 ft (height). To convert these measurements to inches, we multiply by 12 since there are 12 inches in a foot. Thus, the dimensions in inches are:
Length: 1 1/2 ft x 12 = 18 inchesWidth: 2/3 ft x 12 = 8 inchesHeight: 5/6 ft x 12 = 10 inchesTo find the surface area, we calculate the area of each face and then sum them:
Area of the front/back faces: Length x Height = 18 inches x 10 inches = 180 square inches (two faces, so 2 x 180 = 360 square inches)Area of the top/bottom faces: Length x Width = 18 inches x 8 inches = 144 square inches (two faces, so 2 x 144 = 288 square inches)Area of the side faces: Width x Height = 8 inches x 10 inches = 80 square inches (two faces, so 2 x 80 = 160 square inches)Now, add up all the areas of the faces to get the total surface area:
Surface Area = 360 + 288 + 160 = 808 square inches.
You are making identical gift bags using 12 candles and 28 bottles of lotion. What is the greatest number of gift bags you can make with no items left over?
Answer:
I believe the answer would be 4 gift bags.
Step-by-step explanation:
The highest number both numbers can be divided by and get a a whole number is 4. Four is the greatest common factor. So there will be 4 bags with 7 bottles of lotion and 3 candles inn each bag.
Answer:
4Step-by-step explanation:
Factoring the number of items
12 = 4*328 = 4*7Common factor is 4, so the number of gift bags is 4 the greatest
What is the length of segment EF?
EF = square root of 58 end square root
EF = three square root of 10 end square root
EF = 9
EF = 90
Answer:
[tex]EF=3\sqrt{10}\ units[/tex] ------> three square root of 10
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
In this problem we have
[tex]E(-1,-1)\\F(8,-4)[/tex]
substitute the values
[tex]EF=\sqrt{(-4+1)^{2}+(8+1)^{2}}[/tex]
[tex]EF=\sqrt{(-3)^{2}+(9)^{2}}[/tex]
[tex]EF=\sqrt{90}\ units[/tex]
[tex]EF=3\sqrt{10}\ units[/tex]
In the number 3,657,892 which digit is in the millions place
The number that is in the millions place is 3
The value of each digit in a number is known as the place value. The correct option is C, 3.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The million in a digit is represented by the sixth digit from the right in a number. Therefore, In the number 3,657,892, the digit that is in the millions of places is 3.
Learn more about the Place Value:
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which of the figures shown above polygons?
Answer:
the one with 5anglesinterior angles are 5help plz it should be easy, But not to me...
Answer:
To find the answer, you must multiply/divide the amount in cups by calories per cup.
Step-by-step explanation:
Butter only has 0.3 cups, so The calories will only be 30% of what is written down. 30% of 1627= 488.1 calories
Marshmallows is 4.25 times larger then the calories per cup, so now you'll have to multiply.
4.25*159=675.75 calories
Finally, Cereal is 5.5 times larger then the calories per cup, so we will multiply again.
5.5*101=555.5 calories
Finally, add all the number together to find the total amount of calories in the marshmallow treats.
555.5+675.75+488.1=1,719.35 calories
There is a total of 1,719.35 calories in the marshmallow treats.
some of the dimensions, in meters, of a different swimming pool that is a rectangular from the top and trapezoidal from the side are shown. what is the volume, in cubic meters, if the water in the pool when it is completely full?
Answer:
[tex]4,151.25\ m^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the trapezoidal prism (swimming pool) is equal to
[tex]V=BL[/tex]
where
B is the area of the trapezoidal base
L is the length (distance between the two trapezoidal faces)
Find the area B
[tex]B=\frac{1}{2}(4+8)(30.75)=184.5\ m^{2}[/tex]
[tex]L=22.5\ m[/tex]
Find the volume
[tex]V=184.5(22.5)=4,151.25\ m^{3}[/tex]
As shown in the diagram of the right triangles below, Triangle: ABC ~ Triangle: DEF, AB = 7x, BC = 4, DE = 7, EF = x. What is thr perimeter of Triangle: DEF to the nearest hundredth?
since triangles are similar
4/x = 7x/7
=》 4/x = x
=》x^2 = 4
=》 x = 2
for right triangles a^2 = b^2+c^2
DF^2 = 7^2+2^2 = 53
=》 DF = 7.28
perimeter of DEF = 7 +2+7.28 = 16.28
what value is equivalent to
Answer:
D
Step-by-step explanation:
An absolute value is measuring how far away the value is from 0.
Since -1/4 is 1/4 away from 0, D is the answer.
Which unit is the largest?
decameter
millimeter
meter
centimeter
A decameter is the longest, as it has a length equal to 10 meters.
Hope this helps!
Answer:
Decameter
Step-by-step explanation:
A decameter = 10 meter
millimeter = 0.001 meter
meter = meter
centimeter = 0.01 meter
Best regars
Which is more, 1 yard or 64 inches?
Answer:
64 inches
Step-by-step explanation:
12 x 3ft (1yard)=36in
A group of art students are painting a mural on a walls the rectangular wall has dimensions of (6x+7) by (8x+5) and they are planning the mural to be (x+4) by(2x+5). What is the area of the remaining wall after the mural has been painted
Answer:
46x^2 + 73x + 15
Step-by-step explanation:
Expand both equations
Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35
Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20
Minus them.
Wall - Mural =
(48x^2 + 86x + 35) - (2x^2 + 13x + 20)
(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)
46x^2 + 73x + 15
Answer:
46x^2 + 73x + 15
Step-by-step explanation:
Expand both equations
Wall = (6x + 7)(8x + 5) = 48x^2 + 56x + 30x + 35 = 48x^2 + 86x + 35
Mural = (x + 4)(2x + 5) = 2x^2 + 5x + 8x + 20 = 2x^2 + 13x + 20
Minus them.
Wall - Mural =
(48x^2 + 86x + 35) - (2x^2 + 13x + 20)
(48x^2 - 2x^2) + (86x - 13x) + (35 - 20)
46x^2 + 73x + 15