The inequality that represents the scenario given above in terms of the number of students is 9x + 7 ≥ 54
What is the Inequality?Inequality is known to be a statement that shows the step or order association either it is greater than, equal to, less than, etc., that exist between two or more numbers in an expression.
Note that 7 students are in the technical crew. Denote the number of students in a group as = x
We take the other students in dance routines in groups of 9 as 9x.
Therefore, we say that the total number of students = 9x + 7
Since 6 full groups are working on dance routines, we then multiply by the student dance groups = 9 x 6 = 54
Therefore, we can state that our inequality as:
9x + 7 ≥ 54
Then you collect like terms:
9x ≥ 54 - 7
9x ≥ 47
x ≥ 47/9
x ≥ 6
So therefore, I will write to directors that the number of students they need in each group should be at least 6 students.
See full question below
1. Write and solve an inequality to represent this situation.
2. Write a sentence to the directors about the number of students they need.
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Which expression is equivalent to (2^0 / 2^3) ^2
A 1/8
B 1/16
C 1/32
D 1/64
D
Step-by-step explanation:[tex](\frac{2^0}{2^3})^2[/tex]__________________________________
Calculate the power[tex](\frac{1}{2^3})^2[/tex]
[tex](\frac{1}{8})^2[/tex]
[tex]\frac{1}{64}[/tex]
__________________________________
Determine true/false[tex]Determine\ whether\ (\frac{2^0}{2^3})^2\ and\ \frac{1}{64}\ are\\ equivalent:[/tex]
[tex]True[/tex]
I hope this helps you
:)
Find the width of a cereal box that has a volume of 2,310 cm3 and is 22 cm long and 21 cm high.
breadth = 5cm
hope it helps...!!!
Which classification best represents a triangle with side lengths 10 in., 12 in., and 15 in.? acute, because 102 122>152 acute, because 122 152>102 obtuse, because 102 122>152 obtuse, because 122 152>102
The triangle with side lengths of 10 in., 12 in., and 15 in. is acute because 10^2 + 12^2 > 15^2
What is the acute angle?An acute angle is defined as the measure of an angle that is less than 90 degrees.
The side lengths of the triangles are 10, 12 and 15
The smallest side lengths are: 10 and 12
The sum of the squares of these side lengths is
[tex]10^2 + 12^2[/tex]
For the triangle to be acute, then the following must be true
[tex]10^2 + 12^2 > 15^2[/tex]
Evaluate the exponents
[tex]244 < 255[/tex]
The above inequality is true.
Hence, the triangle is acute because 10^2 + 12^2 > 15^2
Read more about triangles here;
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Multiply and combine like terms to determine the product of these polynomials.
(3x – 4)(2x + 5)
Answer: Find attached the workings in the picture.
Step-by-step explanation:
there are 60 people in a class if 1/4 are absent how many peoples are presents
need help asap please
Step-by-step explanation:
first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).
the area is : 1/2 × perimeter × apothem
the perimeter is simply 12 × 5 = 60 meters.
apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =
= 9.330127019... meters
so the area is
1/2 × 60 × 9.330127019... = 279.9038106... m²
therefore, the third answer option is correct (although it is m², and not m³).
by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.
I really need help! Pls!
34-w=6 is the question I need answered.
w = 28
solving stepwise:
[tex]\dashrightarrow \sf \ \ 34-w=6[/tex]
[tex]\dashrightarrow \sf \ \ -w=6-34[/tex]
[tex]\dashrightarrow \sf \ \ -w=-28[/tex]
[tex]\dashrightarrow \sf \ \ w=28[/tex]
Answer:
w = 28Step-by-step explanation:
Given equation:
34 - w = 6Substact 6 both sides:
⇒ 34 - w = 6⇒ 34 - w - 6 = 6 - 6⇒ 28 - w = 0Subtract 28 both sides:
⇒ 28 - w = 0⇒ 28 - 28 - w = 0 - 28⇒ 0 - w = -28⇒ -w = -28Multiply -1 both sides:
⇒ -w = -28⇒ -w × -1 = -28 × -1⇒ w = 28Solve for s. You must write your answer in fully simplified form.
-5s = -13
Hey there!
-5s = -13
DIVIDE -5 to BOTH SIDES
-5s/-5 = -13/-5
CANCEL out: -5/-5 because it give you 1
KEEP: -13/-5 because it help solve for the s-value
NEW EQUATION: s = -13/-5
SIMPLIFY IT!
s = 13/5
Therefore, your answer is: s = 13/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\boxed{\sf{s=\dfrac{13}{5} }}[/tex]Step-by-step explanation:
Isolate the term of s from one side of the equation.
-5s=-13First, you have to divide by -5 from both sides.
→ -5s/-5=-13/-5
Solve.
Divide the numbers from left to right.
→ -13/-5=13/5
[tex]\Longrightarrow: \boxed{\sf{s=\dfrac{13}{5} }}[/tex]
Therefore, the correct answer is s=13/5.I hope this helps! Let me know if you have any questions.
What is the sum? startfraction 3 y over y squared 7 y 10 endfraction startfraction 2 over y 2 endfraction startfraction 5 over y minus 5 endfraction startfraction 5 (y 2) over (y minus 2) (y 5) endfraction startfraction 5 over y 5 endfraction startfraction 5 (y minus 2) over (y minus 5) (y 2) endfraction
The sum of the fraction expression is equal to 5/(y+5) then the correct option is C.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The expression is given as
[tex]\rm \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}[/tex]
Then the sum of the expression is given as
[tex]\rm \rightarrow \dfrac{3y}{y^2+7y+10} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y}{(y+2)(y+5)} + \dfrac{2}{y+2}\\\\\\\rightarrow \dfrac{3y + 2(y+5)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5y+10}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5(y+2)}{(y+2)(y+5)}\\\\\\\rightarrow \dfrac{5}{(y+5)}[/tex]
More about the fraction number link is given below.
https://brainly.com/question/78672
Answer:
C on edge 2022
Step-by-step explanation:
5/y+5
For the function f(x)= √x-6 +1, find the inverse function.
Answer:
f^(-1) (x) = (x-1)²+6 x≥6
Step-by-step explanation:
y=√(x-6) +1 original for the inverse x and y switch places because you are rflecting the function over the line y=x
y=√(x-6) +1 now the job is solve for y by using inverse operations. Think about undoing the equation.
x-1=√(y-6) subtract 1
(x-1)²=y-6 square both sides of the equation
(x-1)²+6=y add 6 to both sides
x≥6 because we are only using real numbers and if x is less than 6 you get a negative number under the square root sign.
у
-8
6
2
2
A
х
-8
- 6
- 2
6
6
o
8
22
4
6
8
What is the range of the function graphed above?
Answer:
From the graph range = (-inf, + inf)
Step-by-step explanation:
range is the y values that the graph can have
You throw three number cubes that are numbers 1-6 all at the same time. What is the probability that you would get a triple 3 on the first throw?
Answer:
3/18 but if you have to simplify it, it would be 1/6
Answer:
1/27Step-by-step explanation:
For each cube the probabilty of number 3 is 1/6 since it is one option out of 6 possible numbers.
The probability of same number on all three cubes is:
P(3,3,3) = 1/3*1/3*1/3 = 1/276 divided by 2 = n pls help
Answer:
n = 3
Step-by-step explanation:
2 goes into 6, 3 times
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel.
How old is Kevin?
Answer:
kevin = 8 - hope this helped
:)
Step-by-step explanation:
Kevin = 4d Kevin is 4 times as old as Daniel
Kevin = d + 6 Kevin is 6 years older than Daniel
4d = d + 6 They both equal K, so they are equal
3d = 6 subtracts D from both sides
d=6/3 = 2
If Daniel is 2 then Kevin is 4x2=8
If Daniel is 2 then Kevin is 2+6 = 8
Kevin is 8
Daniel is 2
HURRYYY PLEASEEE
The diagram shows a cone of a height of 5 cm and a base radius of 12 cm.
What is its volume?
Answer:
volume V = 314.159265 cm³
Step-by-step explanation:
By formula, Volume is = (1/3)πr²h
0.33×3.14×12×12×5
is = 314.159265 m3
Other info
radius r = 5 m
height h = 12 m
slant height s = 13 m
volume V = 314.159265 m3
lateral surface area L = 204.203522 m2
base surface area B = 78.5398163 m2
total surface area A = 282.743339 m2
1/9 divided by 1/8 in fraction form
Answer: 8/9
Step-by-step explanation: Math in the image
Write the equation of the line that passes through the points (-1, 3) and (-5, -3)
Answer:
[tex]y= \frac{3}{2}x+\frac{9}{2}[/tex]
Step-by-step explanation:
First find the slope: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-3 - (3)}{-5-(-1)} = \frac{-6}{-4} = \frac{3}{2}[/tex]
Next use the point-slope fomula and one of the points to find the line:
[tex]y-y_{1} =m(x-x_{1} )[/tex] and the ordered pair (-1,3)
[tex]y-3=\frac{3}{2}(x-(-1))\\ y-3 = \frac{3}{2}(x+1)\\y-3=\frac{3}{2}x + \frac{3}{2}\\y=\frac{3}{2}x +\frac{3}{2}+3\\y = \frac{3}{2}x + \frac{9}{2}[/tex]
Roman art differed slightly from the Greek style because it included __________ on sculpted and painted faces. A. Beards B. Eyebrows C. Expressions D. Imperfections Please select the best answer from the choices provided A B C D
Answer:
D imperfections
Step-by-step explanation:
i did the practice test:)
Answer:
The asnwer is D!^^
Step-by-step explanation:
Which of the following graphs represent a function?
4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a circle.
a.
Graph A and Graph C
b.
Graph A
c.
Graph D
d.
Graph B and Graph D
Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? acute, because 62 102 < 122 acute, because 6 10 > 12 obtuse, because 62 102 < 122 obtuse, because 6 10 > 12
If the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle. Then the correct option is C.
What is a Pythagoras theorem?The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. And it is given as
P² + B² = H²
A triangle with side lengths of 6 cm, 10 cm, and 12 cm.
We know that if the square sum of the perpendicular and base is greater than the square of hypotenuse then the angle will be an acute angle.
Ans if the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle.
Then we have
6² + 10² < 12²
Then the angle will be an obtuse angle.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
Answer: C
Explanation: Obtuse, because 6^2+10^2<12^2
Shane and Damien are racing. Shane ran 8 miles in 4 hours. Damien ran 8 miles in 2 hours. How much faster did Damien run than Shane?
Damien ran 4 mph faster than Shane
Damien ran 2 mph faster than Shane
Damien ran 6 mph faster than Shane
Find the measure of the missing angle of
How do you work out the intersection?
Answer:
Get the two equations for the lines into slope-intercept form. ... Set the two equations for y equal to each other.Solve for x. ... Use this x-coordinate and substitute it into either of the original equations for the lines and solve for y.
Step-by-step explanation:
Can someone help with this please??
Answer:
that don't even make sense
6.
The cost of 5. 5 pounds of apples is $40. 81
What is the constant of proportionality that relates
the cost in dollars, y
to the number of pounds of apples, X?
A) 5. 5
B) 5. 94
C) 6. 37
D) 7. 42
F)8. 16
G) Not listed
Answer:
D 7.42
Step-by-step explanation:
y = k x
40.81 = k ( 5.5)
k = 40.81/5.5 =
A screening test for a newly discovered disease is being evaluated. In order to determine the effectiveness of the new test, it was administered to 900 workers. 150 of the individuals diagnosed with the disease tested positive. A negative test finding occurred in 60 people who had the disease. A total of 50 persons not diseased tested positive for it. Assume the prior probability is not known. What is the overall accuracy of the test
The overall accuracy of the screening test for a newly discovered disease is being evaluated for this case is 87.78% approximately.
What is the accuracy of a test?Accuracy of a test is the ratio of the correct results to the total results the test gives.
Thus, we have:
[tex]\rm Accuracy =\dfrac{\text{Total number of correct results}}{\text{Total number of results}} = \dfrac{TP + TN}{TP + FP + TN + FN}[/tex]
where T represents True, F represents False, N represents Negative, and P represents Positive. The negativity and positivity are the results of the test.
For this case, we're specified that:
The test is happening for diagnosis of a newly discovered disease.Total number of tests done = total number of workers administered = 900True positive (TP)= test result positive (ie test saying that the person has disease) when disease is actually present (that actual presense is known by some other method, and here we're evaluating the quality of 'disease testing procedure' in consideration) = 150 in count.False Negative (FP)= test result negative (no disease detected by the test) when person is diseased in reality = 60False positive (FN) = test result positive when person has no disease in reality = 50As total 900 tests were done, so we get: True negative(TN) = 900 - TP - FP - FN = 640(as each test result would be one of the TP, TN, FP, FN and these four no test result can lie in more than one of these categories).
Now, we have:
true results = TP + TN = 640 + 150 = 790
total results = 900
Thus, we get:
[tex]\text{Test accuracy} = \dfrac{TP + TN}{TP + FP + TN + FN} = \dfrac{790}{900} \approx 0.8778 = 87.78%[/tex]
Thus, the overall accuracy of the screening test for a newly discovered disease is being evaluated for this case is 87.78% approximately.
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HELP ME PLEASE THERES A PICTURE I WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
we need to know how many students are in the class
if there are more boys, than the probability of picking a boy is higher, and if there is more girls, the probability of picking a girl is higher and if the amount of boys and girls are the same, then the probability of picking a girl or a boy is the same.
Step-by-step explanation:
Please mark my answer as brainliest
what is the area of a prism
Answer:
The area of prism is calculated by:(a+b)h/2
Mark plants 9 red rose bushes and 4 yellow rose bushes.What is the ratio of yellow rose bushes planted to the total number of roes bushes planted?
Answer:
4:13
Step-by-step explanation:
First as stated in the problem, mark is looking to find the ratio of Yellow rose bushes planted the Total amount of rose bushes planted; so therefor we must find the total amount of rose bushes planted first.
9+4 = 13.
13 will be our second number, since it is Yellow : total.
Then, we understand that mark plants 4 yellow rose bushes, so 4 is our first number.
Now; we can put our numbers together.
4 to 13 ; [tex]\frac{4}{13}[/tex] , or 4:13.
I really hope this helps! Have an amazing day!
Answer: There are a total of thirteen (13) rose bushes planted but specifically there are six (6) white, five (5) red, and two (2) yellow rose bushes.
Step-by-step explanation: I done it in my head to figure it out so, i hope this helps you have a good day love.