The number of groups of cheerleaders are 6 groups.
Given that, the number of students in grade 4 is 22 and the number of students in grade 5 is 26.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here, each cheerleading group will have 8 members.
Let the number of groups be x.
Now, 22+26=48
So, x=48/8
= 6 groups
Therefore, the number of groups of cheerleaders are 6 groups.
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Final answer:
To find the number of cheerleading groups that can be made with 22 fourth-graders and 26 fifth-graders, we add the total number of students and divide by the group size (8). The equation is k = (22 + 26) / 8, which simplifies to k = 6, meaning 6 groups can be formed.
Explanation:
The question is asking how to calculate the total number of cheerleading groups that can be formed from a given number of fourth-grade and fifth-grade students. In this case, there are 22 fourth-grade students and 26 fifth-grade students, making a total of 48 students. Given that each group should have 8 members, the formula to find the number of groups is the total number of students divided by the number of members per group.
The equation to find the number of cheerleading groups (k) is:
k = Total number of students / Number of members per group
Thus, the equation is:
k = (22 + 26) / 8
When simplified, it gives:
k = 48 / 8
Which equals:
k = 6
Therefore, 6 cheerleading groups can be made.
What is equivalent to (3x^2y)(10x^5y^3)???
Answer:
[tex]30x^{7} y^{4}[/tex]
Step-by-step explanation:
simplify
Final answer:
The equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4, obtained by multiplying the coefficients and adding the exponents of like bases.
Explanation:
The question asks for the equivalent expression of the product (3x^2y)(10x^5y^3).
To find the equivalent expression, we need to apply the properties of exponents, which state that when multiplying two powers with the same base, we add the exponents. We can also multiply the coefficients in a usual way. Let's break it down into steps:
Multiply the coefficients (numbers outside the exponents): 3 × 10 = 30.
Add the exponents of x: x^2 × x^5 = x^(2+5) = x^7.
Add the exponents of y: y^1 × y^3 = y^(1+3) = y^4.
Combine the results: 30x^7y^4.
Therefore, the equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4.
Find the common ratio for the geometric sequence of, 162, 108, 72, 48 ......
A- -3/2
B- -2/3
C- 2/3
D- 3/2
2/3Answer:
Step-by-step explanation:
8. A polyhedron has 15 edges and 10 vertices. How many faces does it
have? *
Answer:
In geometry, the pentagonal prism is a prism with a pentagonal base. It has with 7 faces, 15 edges, and 10 vertices
Step-by-step explanation:
A box contains 50 cups. It is a mix of plastic and paper cups. Simon chooses a cup out of the bag, without looking, records the cup type, and then places that cup back in the bag. Simon has recorded 24 plastic cups and 26 paper cups. Using these results, predict the number of plastic cups in the bag.
Answer:
I think the plastic cup are 24
Solve triangles using the law of cosines
Find AB.
Round to the nearest tenth.
Answer:
From the Law of cosines we see that Line AB^2 (or side c^2) equals
AB^2 = a^2 + b^2 -2ab *cos (C)
AB^2 = 6*6 + 7*7 -2*6 * 7 * cos(59)
AB^2 = 85 -84 * 0.51504
AB^2 = 85 - 43.26336
AB^2 = 41.73664
AB = 6.4603900811
AB = 6.5 (rounded)
Step-by-step explanation:
Each half of the drawbridge is about 284 feet long. How high does the drawbridge rise when x is 30?? The drawbridge rises about feet. Question 2 How high does the drawbridge rise when x is 45?? Round the answer to the nearest hundredth. The drawbridge rises about feet. Question 3 How high does the drawbridge rise when x is 60? ? Round the answer to the nearest hundredth. The drawbridge rises about feet.
Answer:
height = 142.00 ft
height ≈ 200. 82 ft
height ≈ 245.95 ft
Step-by-step explanation:
The picture below represent the image of the draw bridge. The illustration will form a right angle triangle. The hypotenuse is each half of the drawbridge which is 284 ft long. The opposite side of the triangle is facing the drawbridge half leg and the adjacent side is horizontal length. This is the side that made the angle with the drawbridge half leg(hypotenuse).
The question ask us to find the height of the drawbridge when it rise which is the opposite sides of the triangle when the angle is 30° , 45° and 60°.
Using SOHCAHTOA principle,
Angle 30°
sin 30° = opposite/hypotenuse
sin 30° = height/284
cross multiply
height = 0.5 × 284
height = 142.00 ft
Angle 45°
sin 45° = height/284
height = 284 × 0.70710678118
height = 200.818325857
height ≈ 200. 82 ft
Angle 60°
sin 60 = height/284
cross multiply
height = 0.86602540378 × 284
height = 245.951214675
height ≈ 245.95 ft
The question asks about the height a drawbridge rises at different angles. This is a trigonometry problem that can be solved by using the sine of the angle to calculate the height of the bridge when raised. The height corresponds to the 'opposite' side in a right triangle formed by the raised drawbridge.
Explanation:This question appears to be asking about how high a drawbridge rises based on an angle, x, which is a trigonometry problem. Assuming that the drawbridge forms a right triangle when it rises, the height can be calculated using the sine of the angle, x. Sine of x is equal to the opposite side (height of the bridge when it is raised) over the hypotenuse (half of the drawbridge's length).
Applying these trigonometric principles, calculations for each scenario would look like the following:
For x = 30 degrees: Height = sin(30) * 284 feet = 142 feet. For x = 45 degrees: Height = sin(45) * 284 feet = 200.71 feet (rounded to the nearest hundredth). For x = 60 degrees: Height = sin(60) * 284 feet = 245.98 feet (rounded to the nearest hundredth). Learn more about Trigonometry here:
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Bill plans to save for a pair of headphones that are $89.00. The sales tax rate is 8%. How much will Bill need to save? i'll give you brainliest and five star
Answer:
96.12
Step-by-step explanation:
89x.0.08 is 7.12 add that to 89 gives you 96.12
EASY QUESTION
Read question 7
Topic: Volume
Answer:
196 cent^3
Step-by-step explanation:
mark brainliest please :)
Answer:
190 cents skimpy simple
190 cent
A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by s left parenthesis t right parenthesis equals negative 16 t squared plus 126 t. At what times will the ball be 211 feet from the ground?
Answer:
t = 5.46 secs and t = 2.42 secs
Step-by-step explanation:
The distance of the ball from the ground is given by:
[tex]s(t) = -16t^2 + 126t[/tex]
When the ball is at a distance 211 ft from the ground, that means s(t) = 211 ft. we need to find t:
[tex]211 = -16t^2 + 126t[/tex]
[tex]=> 16t^2 -126t + 211 = 0[/tex]
Using the quadratic formula:
[tex]t = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex] and [tex]t = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]
where a = 16, b = 126 and c = 211
Hence:
[tex]t = \frac{-(-126) + \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex] and [tex]t = \frac{-(-126) - \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]
[tex]t = \frac{126 + \sqrt{15876 - 13504} }{32}[/tex] and [tex]t = \frac{126 - \sqrt{15876 - 13504} }{32}[/tex]
[tex]t = \frac{126 + \sqrt{2372} }{32}[/tex] and [tex]t = \frac{126 - \sqrt{2372} }{32}[/tex]
[tex]t = \frac{126 + 48.703 }{32}[/tex] and [tex]t = \frac{126 - 48.703 }{32}[/tex]
[tex]t = \frac{174.703}{32}[/tex] and [tex]t = \frac{77.297}{32}[/tex]
=> t = 5.46 secs and t = 2.42 secs
This means that the ball will be at 211 feet at two different times, first, after 2.42 seconds and then after 5.46 seconds.
This makes sense because the ball is projected upwards, which means that when going up, it attains 211 feet and also, when coming back down, it also attains 211 feet.
To determine the time when the ball is 211 feet off the ground, set s(t) equal to 211 and solve the resulting quadratic equation (-16t^2 + 126t - 211 = 0) using the quadratic formula. Discard the negative solution as it represents a time before launch.
Explanation:In response to the given question, we need to determine the time when the ball is 211 feet from the ground given the formula s(t)=-16t^2 + 126t. This is a quadratic equation which can be solved for t using the quadratic formula.
First, we need to set the equation equal to 211 to solve for when the ball is this distance off the ground. So, -16t^2 + 126t = 211. Rearrange the equation: -16t^2 + 126t - 211 = 0.
Now, apply the quadratic formula t = [-b ± sqrt(b^2 - 4ac)] / 2a, where a = -16, b = 126, and c = -211. This yields two solutions corresponding to the times at which the ball is 211 feet from the ground. The negative solution represents a moment before the ball is launched, hence we discard it. The positive value is the time at which the ball attains a height of 211 feet.
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solve the system of equations y=2x -4,y = -x+2
Answer:
(2,0)
Step-by-step explanation:
Solve by graphing:
Use a graphing tool to graph the lines y=2x -4 and y = -x+2.
The lines intercept at point (2,0).
Therefore, the solution to the set of equations is (2,0).
[tex]x=2\\y=0[/tex]
Brainilest Appreciated!
Answer:
(0, -4) and (2,0)
Step-by-step explanation:
Common difference between 31,26,21,16
I like to work backwards to see if the common difference is the same.
So I take 16 and work to the left.
So I say 16 - 21 which is -5.
Then I do 21 - 26 which is -5.
Finally, 26 - 31 which is -5.
So what I am doing here is just taking the number that is on the right and subtracting it by the number that appears to the left of it.
Notice that I always get -5 and that has to be because in order for this to have a common difference, the result must always be the same if you are working with the method I used above.
So, our common difference is -5.
Find the area of the figure. Round to the nearest tenth
can someone do this please
Answer:
x = 16
Step-by-step explanation:
4x - 7 = 3x + 9
4x = 3x + 16
1x = 16
x = 16
What is the base of y=Inx
Answer:
The base is natural number e = 2.71828...
Step-by-step explanation:
By definition of natural log, the base is e = 2.71828...
The base of the function y = ln(x) is the irrational number e (approximately 2.71828).
Explanation:The base of the function y = ln(x) is the base of the natural logarithm, which is the irrational number e (approximately 2.71828). The natural logarithm function ln(x) is the inverse function of the exponential function e^x. So, if y = ln(x), then x = e^y.
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The answers I don’t really understand the question
For step one, they want you to factor 5,000 into a 5 and ?. To find the missing value, we can divide:
5,000 / 5 = 1,000
So, 1000 goes in the first blank.
For step two, 1,000 also goes in the second blank since the first 2 numbers are being multiplied.
For step three, multiply the last two numbers.
30 * 1000 = 30,000
So, 30000 goes in the last blank.
Best of Luck!
Answer: 30000 goes in the last one
Step-by-step explanation:
Can someone Help plz
Answer:
I wish i could help but im dumb :(
Step-by-step explanation:
Answer:
Option 2
Step-by-step explanation:
V= Base x Height
If the Height = 15in and the V = 90in^3 then 90 ÷ 15 = 6
Please mark brainliest ;)
Which operation should be used to solve x + 3 = 7?
Answer:
You can use the Subtraction property of equality
You have to subtract 3 on both sides to have x alone, which will give you x=4
Answer:
SUbtraction
7-3=4 so X is 4
Step-by-step explanation:
Find the exact value of cos 15°
Answer:
[tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
Step-by-step explanation:
Using the difference formula for cosine and the exact values
cos45° = sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex], sin30° = [tex]\frac{1}{2}[/tex]
cos(a - b) = cosacosb + sinasinb
Note 15° = 45° - 30°, thus
cos15°
= cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
Answer:
[tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]
Step-by-step explanation:
What is the mode for 20 sites?
The answer is 2 and 1. Hope this help btw
What are the restrictions of the domain gºh?
Answer:
The restrictions partly depend on the type of function.
You can’t divide by 0
You can’t take the square (or other even) root of a negative number, as the result will not be a real number.
In what kind of functions would these two issues occur?
the function is a rational function and the denominator is
0
for some value or values of x,
f ( x ) = x + 1 2− x
is a rational function
the function is a radical function with an even index (such as a square root), and the radic and can be negative for some value or values of x.
f ( x ) = √ 7 − x
is a radical function
The following table gives examples of domain restrictions for several different rational functions.
Hope this helped
Answer:
The answer is 6.
Step-by-step explanation:
Which decimal is equivalent to 2/9?
A. 2.2
B. 2.9
C. 22222
D. 0.2
Answer:
The answer is 0.2. It is an irrational number with a repeating 2. It should have a line over the two to represent it repeating.
Step-by-step explanation:
First divide 2 by 9.
Use a calculator or do it by hand.
You get your answer.
Option D is correct, the decimal which is equivalent to the fraction 2/9 is 0.2
The given fraction is two divided by nine, 2/9
Two is the numerator and nine is the denominator
We have to find the equivalent decimal number of fraction 2/9
To do this we have to divide 2 by number nine
When two is divided by nine we get 0.222
2/9 =0.22
=0.2
Hence, the decimal which is equivalent to the fraction 2/9 is 0.2, option D is correct.
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I think the answer is letter C, can someone check me and make sure that is correct.
Answer:
You're Correct
Step-by-step explanation:
Keep up your good work
Three salesmen are working for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
1. For each salesman, write an equation showing the relationship between their weekly paycheck amount, p, and the number of sales, s, they had that week.
Answer:
A:
p = 65s, 0《s《20
p = 1300, s > 20
B:
p = 300 + 40s, s》0
C:
p = 900
Step-by-step explanation:
Salmesman A:
p = 65s
65s = 1300
s = 20
Salesman B:
p = 300 + 40s
Salesman C:
p = 900
Answer:
A:
p = 65s, 0《s《20
p = 1300, s > 20
B:
p = 300 + 40s, s》0
C:
p = 900
Step-by-step explanation:
Salmesman A:
p = 65s
65s = 1300
s = 20
Salesman B:
p = 300 + 40s
Salesman C:
p = 900
Step-by-step explanation:
If f(x) = 2x-3, find f(-2).
Answer:
F(2)=-7
Step-by-step explanation:
f(-2)=2x-3
you substitute the x on the positive 2
2(-2)=-4
-4-3-=7
-7
Hence the result of the function is x is -2 is -7
Given the function f(x) = 2x-3,
Domain of a function is the input value for which the function exists.
The range of the function is the output value for which the function exists
From the question, we can see that we are to find the resulting range if the domain of the function is -2.
To get f(-2), we will need to substitute x as 2 into the function as shown
f(-2) = 2(-2) - 3
f(-2) = -4 - 3
f(-2) = -7
Hence the result of the range with the domain of -2 is -7
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The graph shows the inverse of which function?
Josh has 25 classmates. He has 10 tickets to the movies. How many ways can he invite 9 friends to see a movie with him?
Answer:
2,042,975
Step-by-step explanation:
Josh can choose 9 of his 25 classmates using the function C(n,k), which tells the number of combinations of n objects taken k at a time.
__
Here, Josh wants to choose 9 from 25 classmates. The number of possible choices is ...
C(n, k) = n!/(k!(n-k)!)
C(25, 9) = 25!/(9!(25 -9)!) = 25·24·23·22·21·20·19·18·17÷(9·8·7·6·5·4·3·2·1)
= 2,042,975
__
Additional comment
In effect, the first ticket can go to any of 25 classmates, the second to any of 24, and so on. The last ticket can go to any of 17 classmates. This product 25·24·...·17 counts each group of classmates 9! times. Since the order in which they are chosen does not matter, the final number is then ...
25!/(16!·9!) = 2042975
Mark, Paul and Brian share some sweets in the ratio 1:3:5. Mark gets 14 sweets. How many did Brian get?
Answer:
70
Step-by-step explanation:
mark = 1 1 times 14 = 14
Brian = 5 5 times 14 = 70
Brian receives 70 sweets, as Mark's 14 sweets represent 1 part of the ratio 1:3:5, indicating that 1 part equals 14 sweets and Brian's 5 parts equal 70 sweets.
Mark, Paul, and Brian share sweets in a ratio of 1:3:5, which means that for every sweet Mark gets, Paul gets 3, and Brian gets 5. Since Mark gets 14 sweets, we can use this information to calculate how many sweets Brian gets. First, let's find out what one 'part' of the ratio is worth by dividing the number of sweets Mark gets by his ratio number:
Mark's sweets (14) / Mark's ratio (1) = 14 sweets per ratio part.
Next, determine Brian's share by multiplying the sweets per ratio part by Brian's ratio number:
Brian's share = sweets per ratio part (14) * Brian's ratio (5) = 70 sweets.
Therefore, Brian gets 70 sweets.
What is the √84 in radian form?
André buys 12 apples at $1 each. He uses a coupon for $1.50 off the total purchase. How much did André spend on apples?
A $10.50 B $11.00 C $11.50 D $12.00
Easy Question, Easy points
Topic: Volume
Use the other attached paper to help u find formula
Focus on question Scenario 3
Answer:
see below
Step-by-step explanation:
A can is a cylinder
V = pi r^2 h
The diameter is 6.4 we want the radius
r = d/2 = 6.4/2 = 3.2
V = 3.14 * (3.2)^ * 12.3
V =395.48928 cm^3
1 cm^3 = 1ml
V = 395.48928 mL
A can of soda has 355 mL
We are over estimating because the can narrows on the ends and the height is actually shorter because the ends do not have volume but are metal to contain the soda. We also did not take into account the curve in the bottom of a can of soda.
Answer:
395.48928 cm³
40.48928 cm³ greater than an actual can
Step-by-step explanation:
Volume of can:
pi × r² × h
3.14 × (6.4/2)² × 12.3
395.48928 cm³
Actual can: 355 cm³
395.48928 - 355 = 40.48928 cm³