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marta [7]
2 years ago
15

Suppose a traveler wanted to visit a museum, an art gallery, and the state capitol building. 45-minute tours are offered at each

attraction hourly from 10 a.m. through 3 p.m. (6 different hours). Solve the problem, disregarding travel time.
In how many ways can the traveler visit all three places in one day?
Select one:
a. 120
b. 60
c. 15
d. 30
Mathematics
1 answer:
ASHA 777 [7]2 years ago
6 0
A.120

Therefore, a traveler visits all three locations in one day in 120 separate ways. So choice A is the answer.
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Fertiliser is sold in 100kg bags labelled with the amount of nitrogen (N), phosphoric acid (P2O5), and potash (K2O) present. The
anzhelika [568]

Answer:

We need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

Step-by-step explanation:

Let's first list the percentage compositions of each fertilizer type:

<u>Vigoro Ultra Turf:</u>

Nitrogen (N) = 29 kg

Phosphoric Acid (P2O5) = 3 kg

Potash (K2O) = 4 kg

<u>Parkers Premium</u>

Nitrogen (N) = 18 kg

Phosphoric Acid (P2O5) = 25 kg

Potash (K2O) = 6 kg

We can set up simultaneous equations to find out the amount of 100 kg bags of each fertilizer needed:

x = Vigoro Ultra turf (one bag)

y = Parkers Premium (one bag)

29x + 18y = 217   -Equation 1

3x + 25y = 115     -Equation 2

4x + 6y = 44        -Equation 3

Solving for x and y, we get:

x = 5

y = 4

This means we need 5 bags of Vigoro Ultra Turf and 4 bags of Parkers Premium fertilizer.

6 0
2 years ago
The price of a pair of headphones is $39.99 before tax. Dalton bought the headphones for 30% off. He then paid 6% sales tax on t
dimaraw [331]

Answer:

part A 1.68

part B 29.67

Step-by-step explanation:

First you multiply $39.99 dollars and  0.30 = $11.9970 you round this to $12.00

After you apply the discount $39.99 - $12.00  = 27.99  

Next you must multiply 27.99*0.06 =1.6794 and round to 1.68 to get tax

Last you add $27.99 and 1.68 to get a total of $29.67 for the headphones

Plz give brainliest i didnt look it up.

4 0
2 years ago
an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $2
faltersainse [42]

Answer:

The amount that should be in the account after 15 years is $95,321.85

Step-by-step explanation:

According to the given data, we have the following:

monthly amount of $220=R

interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017

t=15years×12=180 months

In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

Ap=<u>R(1-(1+i)∧-t)</u>

             i

Ap=<u>220(1-(1+0.0017)∧-180)</u>

                       0.0017

Ap=<u>162,04</u>

      0.0017

Ap=$95,321.85

The amount that should be in the account after 15 years is $95,321.85

<u />

6 0
2 years ago
Kevin and Brittany write an equation to represent the following relationship, and both students solve their equation. Who found
Vadim26 [7]
Kevin, because the problem says the difference of a number (x) and 20, and since 20 is mentioned second, it would therefore be the second number in the problem
3 0
1 year ago
In circle O, tangent MN and secant MPQ are drawn to the circle from exterior point M. If MP = 6 and PQ = 8 then which of the fol
deff fn [24]

Answer:

42

Step-by-step explanation:

3 0
2 years ago
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