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Mashcka [7]
2 years ago
6

Mia has a spool of ribbon that is 30.5 yards long. She will cut the ribbon into 5 equal pieces to make bows. What is the length

of each piece of ribbon?

Mathematics
1 answer:
GenaCL600 [577]2 years ago
4 0
Each piece of ribbon will be 6.1 yards long hope this helped ;D

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At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960. Which equa
mixas84 [53]
2x+15y=2,960 would be the equation
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2 years ago
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I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing
ss7ja [257]
X = E/W dimension 
<span>y = N/S dimension </span>

<span>4x + 4x + 2y + 2y = 64 </span>
<span>8x + 4y = 64 </span>
<span>4y = 64 - 8x </span>
<span>y = 16 - 2x </span>

<span>Area = xy = x(16 - 2x) = 16x - 2x^2 </span>

<span>Maximum of y = ax^2 + bx + c is when x = -b / 2a </span>

<span>so x = -16 / -4 = 4 </span>
5 0
2 years ago
A survey on healthy choices was given to gym members at Work It Out. The results
irina [24]

Answer:

The correct option is 4) 0.72.

Step-by-step explanation:

Consider the provided information.

Let us consider that there are 100 members.

(Note: you can take any number the answer will remain the same.)

90% of its members drank protein shakes and of the members who drank  protein shakes.

90% of 100 is 90.

Thus, 90 members drank protein shake.

Of the members who drank   protein shakes, 30% took weight-loss medication.

30% of 90 is 27.

That means 27 out of 90 took weight loss medication.

Out of 100 members 90 drank protein shakes that means 10 members does not take protein shakes.

Only 10% of members  who did not drink protein shakes took weight-loss medication.

10% of 10 is 1, that means 1 member out of 10 took weight loss medication.

Thus the required table is:

                                        Medication   Not Medication      Total

Drank shakes                       27                   63                      90

Doesn't Drank shakes          1                      9                        10

Total                                      28                   72                     100

Now we need to find the probability that a gym member does not take weight-loss medication.

72 out of 100 members does not take weight-loss medication.

Therefore, the required probability is: \frac{72}{100}=0.72

Hence, the correct option is 4) 0.72.

5 0
2 years ago
You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a
vagabundo [1.1K]

Answer:

The piece-wise function is;

f\left (x  \right ) = \begin{cases} \$ 45 \times  x & \text{ if } x \leq 3  \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}

Step-by-step explanation:

The flat rate for renting the car = $35 per day

The amount charged as insurance fee per day for renting the car for 3 days or less = $10

The insurance fee charged per day when the car is rented for more than 3 days = $5

Let the number of days = x

Therefore, we have;

For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x

For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x

Therefore;

The charge rate for renting the car for less than or equal to 3 days = 45·x

The charge rate for renting the car for more than 3 days = 40·x

The piece-wise function can be presented as follows;

f\left (x  \right ) = \begin{cases} \$ 45 \times  x & \text{ if } x \leq 3  \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}

3 0
2 years ago
What is 52,634,275,309 in expanded form
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Fifty-two billion, six hundred and thirty-four million, two hundred and seventy-five thousand, three hundred and nine.
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