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ryzh [129]
3 years ago
15

Andrew sold 45 tickets to the school play and Sara sold 60 tickets. Which of the following is equivalent to the ratio of the num

ber of tickets Andrew sold to the number of tickets Sara sold?
a. 6:8
b. 8:10
c. 6:10
d. 10:12
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0

Answer:

a

Step-by-step explanation:

definitely  not d

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-28/-7=<br> I need help with this question please
mash [69]

Answer:

4 it wll have to be my friend

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If y varies directly with x and
SashulF [63]
So this is direct proportional question
so y=(k)x
sub y=48 and x=6
48=6k
k=8
now you got a constant k
now sub x=3
y=(8)(3)
=24
8 0
2 years ago
A. 4√29/ 7 feet<br> b. 4√5 feet<br> c.√164 feet<br> d. 2√41
zalisa [80]

Answer:

These two triangles are <em>similar triangles. </em>This means that their side lengths are proportional to each other.

Thus, making line segment EC equal to "x", and BC equal to "y" we can write:

8/y = 28/(10+y)

The next step is to get rid of the fractions, which can be done by cross multiplying.

So we have:

8(10+y) = 28(y)

After distribution and some simplification, you should get the value of y.

80+8y = 28y

80 = 20y

80/20 = 20y/20

4 = y

y = 4

Knowing that y = BC, and y = 4, it is clear that BC = 4.

Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)

In our case, a and  b are 8 and 4 (the order doesn't really matter here).

So we have: 8^2 + 4^2 = c^2

64 + 16 = c^2

80 = c^2

c = sqrt 80

c  = 4 sqrt 5

And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.

Hope this helps!

5 0
3 years ago
An analyst for a new company used the first three years of revenue data to project future revenue for the company. The analyst p
Westkost [7]

Using limits, it is found that since \lim_{x \rightarrow \infty} f(x) < 0, the company is expected to operate at a loss, hence it is not expected to be successful.

The revenue function is given by:

f(x) = -2x^5 + 6x^4 - x^3 + 5x^2 + 6x + 50

<h3>Limit:</h3>
  • The projected revenue over the long-term is given by the limit of f(x) as x goes to infinity.

Then:

\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -2x^5 + 6x^4 - x^3 + 5x^2 + 6x + 50 = \lim_{x \rightarrow \infty} -2x^5 = -2(\infty)^5 = -\infty

Since the limit is negative, the company is expected to operate at a loss, hence not being successful.

To learn more about limits, you can take a look at brainly.com/question/24821129

3 0
3 years ago
B A pair of fair dice is rolled, If the sum of the spots is 7, determine the probability that one di showed a 2.
finlep [7]

Answer:

\text{Probability}=\frac{1}{3}

Step-by-step explanation:

Given : A pair of fair dice is rolled, If the sum of the spots is 7.

To find : Determine the probability that one die showed a 2 ?

Solution :

A pair of fair dice is rolled the outcomes are,

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The sum of the spots is 7 i.e. (4,3),(2,5),(5,2),(3,4),(1,6),(6,1).

Total possibility = 6

Favorable outcome is that one die showed a 2 i.e. (2,5),(5,2)= 2

The probability that one die showed a 2 is given by,

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total outcome}}

\text{Probability}=\frac{2}{6}

\text{Probability}=\frac{1}{3}

8 0
3 years ago
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