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zysi [14]
3 years ago
5

If y varies inversely as x, and y = 33 when x = 7, what is the constant and what is value of y when x=11?

Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:

We have that y = 21 when x = 11.

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.

33 - 7

y - 11

So

11y = 33*7

Dividing both sides by 11

y = 3*7 = 21

We have that y = 21 when x = 11.

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The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an a
Mekhanik [1.2K]

Answer:

Roger

Step-by-step explanation:

Since he is attending more shows, he will benefit. He will save a net amount of $40

7 0
3 years ago
78% of students in the 7th grade
irina1246 [14]

Answer:

77

Step-by-step explanation:

percentage         Students

78%--------------     -273

100%--------------      ---X

(100x273)/78 = 350 students in class so

how many did  not pass?​

350-273 = 77 students not pass

6 0
3 years ago
Read 2 more answers
The demand for coffee is given by the following equation, where QD stands for the quantity demanded and P stands for price.
mart [117]

Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:

a) -4.

b) P = 25.

c) 2.

d) P = 5.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The demand is given by:

D = 100 - 4P.

Hence the slope is of -4. The demand is equals to zero when:

100 - 4P = 0 -> P = 25.

The supply is given by:

QS = -10 + 2P.

Hence the slope is of 2. The supply is equals to zero when:

-10 + 2P = 0 -> P = 5.

More can be learned about linear function concepts at brainly.com/question/24808124

#SPJ1

4 0
2 years ago
Quadrilateral ABCD is translated 2 units left and 3 units up to form quadrilateral A'B'C'D'
TiliK225 [7]
The answer would be
<span>B) 
A' (-8, 5)
B' (-8, 8)
C' (-5, 7)
D' (-4.5, 5)</span>
3 0
3 years ago
How do I get the answer for this quadratic equation in simplest form?
konstantin123 [22]

Answer:

x = 7 ± \sqrt{15}

Step-by-step explanation:

Given

4(x - 7)² - 48 = 12 ( add 48 to both sides )

4(x - 7)² = 60 ( divide both sides by 4 )

(x - 7)² = 15 ( take the square root of both sides )

x - 7 = ± \sqrt{15} ( add 7 to both sides )

x = 7 ± \sqrt{15}

3 0
3 years ago
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