First, let's write what we know.
We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.
Then, taking the third line, we can write an inequality:
C < L < G
C < 7 < C + 4
C - 4 < 3 < C
3 < C < 7
If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.
Then, we need to find how many students are in the play.
C + L + G
C + 7 + C + 4
2C + 11
So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.
0.3T = 2C + 11
(Divide by 3/10 or multiply by 10/3 on both sides)
T = 20/3 C + 110/3
We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.
T = 20/3 * 4 + 110/3
T = 190/3
T = 20/3 * 5 + 110/3
T = 210/3
T = 70
T = 20/3 * 6 + 110/3
T = 230/3
We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class. We now need to figure out the number of student in her class.
The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.
If it is completely impossible to put a contract in writing, which of the following would be the best substitute?
a. having a friend witness the verbal agreement
a video or audio recording of the verbal agreement
the words "I promise" spoken in a verbal recitation of the contract
d. a firm hand-shake between all those involved in the contract
C.
Please select the best answer from the choices provided
Answer:
B
Step-by-step explanation:
Because the the contract will be in verbal form. no matter if it is videotaped or recorded or both a "videoed verbal contract" not just written. so like paper thst is notarized or not this is still the same bc the the same rules apply the contract is still valid. the rest of the options are more like what they call gentlemens agreements which would be the handshake type of thing. and no matter what any agreement someone has to witness the transaction or contract. so definitely the answer is B
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How many faces does the solid made from the net below have?
A shape has a pentagon base. There are 5 triangles on the sides.
5
6
10
15
Answer:
6
Step-by-step explanation:
I
did quiz.
The net of the solid is a plane shape, and The net of the solid is made from 6 faces
How to determine the number of faces?From the question, we understand that:
Sides = 5 trianglesBase = 1 pentagonSo, the number of faces is:
Face = Triangle + Pentagon
This gives
Face = 5 + 1
Face = 6
Hence, the net of the solid is made from 6 faces
Read more about surface areas at:
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PLEASE ANSWER THIS QUESTION RIGHT.What do we call the graph of a quadratic?
Answer:
parabola
Step-by-step explanation:
How much water do you add to make 12% sugar syrup using 5g sugar.
Answer:
You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then
5 g - 12%,
x+5 g - 100%.
mathematically you can write a proportion;
5/x+5=12/100
=>500=12(x+5)
,500=12x+60
,12x=400,
x=440/12
=110/3
=36 2/3g of water36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
5/5+x=12/100
Apply cross multiplication
5×100=12(5+x)
500=60+12x
Subtract 60 from both sides
440=12x
Divide both sides by 12
x=36.66
Hence, 36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
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What is the simplified form of each expression?
21. 2x + 5x + 4x
A. 11 + 3x
B. 7x
C. 11x
D. 7x + 4x
Answer:
C
Step-by-step explanation:
They all share a common variable so you can add them all together to get the simpliest form.