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viktelen [127]
3 years ago
13

Yasmine needs to create invitations for the party. She has ¾ of an hour to make the invitations. It takes her 1/12 of an hour to

make each card. How many invitations can Yasmine create?
Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

Answer:

9 cards.

Step-by-step explanation:

Given:

Yasmine needs to create invitations for the party.

She has ¾ of an hour to make the invitations.

It takes her 1/12 of an hour to make each card.

Question asked:

How many invitations can Yasmine create?

Solution:

Yasmine takes \frac{1}{12} hour create number of cards = 1

Yasmine takes 1 hour to create number of cards = \frac{1}{\frac{1}{12} }=1\div\frac{1}{12}=1\times\frac{12}{1} =12

Yasmine takes \frac{3}{4} hour to create number of cards = 12\times\frac{3}{4} =\frac{36}{4} =9

Therefore, Yasmine can create 9 cards.

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2. Create a linear function that has a rate of change of 3 and a solution at (6, 12).
Ksivusya [100]

Answer:

y = 3x - 6

Step-by-step explanation:

A linear function has the following format:

y = ax + b

In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.

Rate of change of 3

This means that a = 3

So

y = 3x + b

A solution at (6, 12).

This means that when x = 6, y = 12. So

y = 3x + b

12 = 3*6 + b

b = -6

The linear function is:

y = 3x - 6

4 0
3 years ago
A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the
alekssr [168]

Answer: 17.14 ft

<u>Step-by-step explanation:</u>

The area of the flower bed is 60 ft x 80 ft = 4800 ft²

The perimeter of the sidewalk that surrounds the flower bed is:

  •   2(60 ft) + 2(80 ft)
  • = 120 ft + 160 ft
  • = 280 ft

The area of the sidewalk is:

  • perimeter x width
  • = 280w

area of sidewalk = area of flower bed

280w = 4800

\text{w}=\dfrac{4800}{280}

  =\dfrac{120}{7}

  ≈ 17.14


8 0
3 years ago
Find the range for f(x) = x^2 1, for x &lt; 0.<br><br> y ≥ 1<br> y &gt; 1<br> y &lt; 1<br> y ≤ 1
Rus_ich [418]
For x < 0, range is y ≤ 1.
3 0
3 years ago
The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
2 years ago
Solve the equation 42=7r r=​
Juli2301 [7.4K]

Answer: r=6

Step-by-step explanation:

Because if 42 equals 7 times r you just have to divide 42 by 7.

8 0
3 years ago
Read 2 more answers
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