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Nastasia [14]
3 years ago
5

Which situation requires the addition counting principle to determine the number of possible outcomes?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Answer:

Renting a vehicle when there are 5 cars, 3 vans, and 10 sports utility vehicles available

Step-by-step explanation:

Creating a stuffed animal when there are 6 animals, 3 fur colors, and 12 clothing themes available

This condition requires multiplication or factorials to determine outcomes

Renting a vehicle when there are 5 cars, 3 vans, and 10 sports utility vehicles available

This situation requires the addition counting principle to determine the number of possible outcomes as there is only one car to be picked so all the numbers 10+5+3 = 18 will be added to get the possible outcomes ..

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Chris put $1,500 in a savings account at an annual interest rate of 5%. If Chris does not deposit or withdraw any money, what is
Anon25 [30]

\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &1 \end{cases} \\\\\\ I=(1500)(0.05)(1)\implies I=75

7 0
3 years ago
Seventy concert tickets were sold for $550. each adult ticket cost $9 and each childrens ticket cost $5. find the number of adul
PilotLPTM [1.2K]

Answer:

Total tickets = 70

Total cost = $550

Adult's ticket = $9

Child's ticket = $5

Difference = 9 - 5 = $4

Assume all 70 are child's tickets

5 x 70 = 350

But the total cost was 550

550 - 350 = $200

The $200 must have come from Adult's tickets, which has a difference of $4.

200 ÷ 4 = 50

So there are 50 adult's tickets.

70 - 50 = 20

And there are 20 child's tickets.

Hope this helps - Itz.Jordan

5 0
2 years ago
The scale of a map is 1 : 25 000
Artyom0805 [142]

Answer: 5.5km

Step-by-step explanation:

The scale given 1 : 25 000 , and it was said that on the map , the distance between two railway stations is 22 cm , this means that the scale of the map is 1: 25000 cm.

The scale 1 : 25 000 means that each centimeters on the map represent 25 ,000 in real life ,therefore , to calculate the real distance between the two railway station , we have

25,000 X 22

= 550000 cm

To convert this to km

Recall that

1 km = 100,000 cm

Therefore we will divide the answer by 100,000 , that is

550000/100000

= 5.5 km

Therefore , the real distance between the two railway stations is 5.5km

7 0
3 years ago
Which value of y below is the solution to the system shown below. A) y=6 B) y=-1 C) y=-4 D) y=8
Grace [21]

Answer:

D

Step-by-step explanation:

given the 2 equations

x + 2y = 27 → (1)

2x + 3y = 46 → (2)

Rearrange (1) expressing x in terms of y by subtracting 2y from both sides

x = 27 - 2y ← substitute into (2)

2(27 - 2y) + 3y = 46

54 - 4y + 3y = 46

54 - y = 46 ( subtract 54 from both sides )

- y = - 8 ( multiply both sides by - 1 )

y = 8 → D

4 0
3 years ago
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 10 percent simple interest per year.
Nostrana [21]

Answer:

<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>

Step-by-step explanation:

       Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.

       She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by x. Lower yielding bank account will have 2x.

       Interest\text{ }per\text{ }year=Principal\times Interest\text{ }rate

Interest from lower yielding bank = \dfrac{4}{100} \times 2x=\dfrac{8x}{100}

Interest from higher yielding bank = \dfrac{10}{100} \times x=\dfrac{10x}{100}

Total Interest per year = $ 3996 = \dfrac{8x}{100} +\dfrac{10x}{100}=\dfrac{18x}{100}

x=22200 \$

∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.

4 0
3 years ago
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