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Vitek1552 [10]
3 years ago
11

If Ricky has 3 times as many nickels as dimes and they have a combined value of 150 cents, how many of

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

6 dimes and 18 nickels

Step-by-step explanation:

Pick two variables to represent the number of nickels and dimes Ricky has.

Let's say n = number of nickels and d = number of dimes.

Ricky has 150 cents total. Since one nickel is worth 5 cents, and one dime is worth 10 cents, their value in cents would be 5n and 10d. So, 150 = 5n + 10d.

Since Ricky has three times as many nickels as dimes, n = 3d. So, 150 = 5(3d) + 10d.

From there, you have to solve for d first.

150 = 5(3d) + 10d = 15d + 10d = 25d

150/25 = 25d/25

6 = d

Then, plug it back in for the value of n.

150 = 5n + 10(6) = 5n + 60

150 - 60 = 5n + 60 - 60

90/5 = 5n/5

18 = n

Ricky has 6 dimes and 18 nickels.

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Two cargo ships are sailing a direct course into harbor. Ship A is 22 miles from harbor. Ship Bis sailing into harbor on a cours
s344n2d4d5 [400]

Answer:

The distance of ship B from the Harbor is 32.26 miles

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Equations.

I have added a visual aid of the problem. As we can see the courses of both ship to the harbor forms a triangle with ship B being the hypotenuse. Since we are given the distance of the course for ship A and the angle between both ships, we can use this information with the <u>COSINE operator</u> to solve for the length of the course of ship B.

cos(x) = \frac{adjacent}{hypotenuse}

cos(47) = \frac{22miles}{hypotenuse} .... flip both fractions.

\frac{1}{cos(47)} = \frac{hypotenuse}{22miles} .... multiply both sides by 22

\frac{22mi}{cos(47)} = hypotenuse

32.26mi = hypotenuse = B

So the distance of ship B from the Harbor is 32.26 miles

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

3 0
3 years ago
PLEASE ANSWER THIS AND SHOW WORK. FIND THE SURFACE AREA FOR THE FIGURE BELOW
Varvara68 [4.7K]

Answer:

Total surface area of the given figure is 246.75 square mile.

Step-by-step explanation:

Surface Area of the given figure = Lateral surface area + Area of the base

Lateral surface area of the figure = Sum of the areas of 5 triangular surfaces

                                                        = 5(\frac{1}{2} )(\text{Base})(\text{Slant height})

                                                        = \frac{5}{2}(7)(9.3)

                                                        = 162.75 mi²

Surface area of the pentagonal base = 84 mi²

Total surface area of the figure = 162.75 + 84

                                                    = 246.75 mi²

Therefore, total surface area of the given figure is 246.75 square mile.

8 0
2 years ago
I need help with this question? Please and thank you!!!!<br> #15
4vir4ik [10]
Ref3vygrnvrgnubub  frrrrrrrrvcrf
7 0
3 years ago
Read 2 more answers
A line that includes the point (2,10) has a slope of 9. What is its equation in slope-intercept form
Bumek [7]

Equation: y= 9x+ (y-intercept)

Step-by-step explanation:

equation in slope-intercept form is y=mx+b. <em>m</em> represents the slope of the line, and <em>b</em> represents the y=intercept, which is where the line crosses the y-axis.

3 0
3 years ago
Tickets for the basketball game cost 14$ each. If the sale of the tickets brought in 2,212$, how many tickets were sold?
rosijanka [135]
15.78 is the answer to the qustion that you have asked.
5 0
3 years ago
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