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Ahat [919]
3 years ago
12

A collection of 19 coins consisting of nickels and dimes is worth $1.35. How many dimes are there

Mathematics
1 answer:
pshichka [43]3 years ago
3 0

Answer:

There are 8 dimes there.

Step-by-step explanation:

This question is solved used a system of equations.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

19 coins

This means that x + y = 19.

A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So

0.05x + 0.1y = 1.35

How many dimes are there?

We have to find y.

From the first equation: x = 19 - y.

Replacing in the second:

0.05(19 - y) + 0.1y = 1.35

0.95 - 0.05y + 0.1y = 1.35

0.05y = 0.4

y = 0.4/0.05

y = 8

There are 8 dimes there.

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ki77a [65]

No, they are not like terms because they cannot be added together. 5x^2 is squared, whereas 2x is not. Though they both have x variables attached to them, they are not like terms because one is squared and the other is not. Examples of like terms include 5 and 8, 4y and 7y, 8z^2 and 10z^2.

Hope this helps!! :)

7 0
3 years ago
What are the missing angles? What is the relationship between the measures of supplementary angles?
goldenfox [79]

Answer:

6=100°

8=80°

7=100°

9=80°

Step-by-step explanation:

If 6 is 100°

in a straight line theres 180 degrees

180-100=80°

8 is 80°

opposite 6 to 7 there are parallel corresponding angles meaning the angle opposite it will be the same. 8 with 9.

same with

5 0
3 years ago
Which equation shows 4n = 2(+ - 3) solved for T?
Ghella [55]

Answer:

C. T = 4n+6/2

Step-by-step explanation:

4n = 2(T-3)

or, 4n = 2T-6

or, 4n + 6 = 2T

or, 4n + 6 / 2 = T

or, T = 4n + 6 / 2

5 0
2 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a
8090 [49]

Answer:

C. 14 metres cubed

Step-by-step explanation:

The volume of a sphere is denoted by: V=\frac{4}{3} \pi r^3, where r is the radius, while the volume of a cylinder is denoted by: V=\pi r^2h, where r is the radius and h is the height.

Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:

V=\pi r^2h=\pi r^2*2r=2\pi r^3

21=2\pi r^3

πr³ = 21/2 = 10.5

Now plug this into the volume of a sphere formula:

V=\frac{4}{3} \pi r^3

V=\frac{4}{3} *10.5=14

The answer is C, 14 metres cubed.

5 0
3 years ago
Read 2 more answers
0.00000000001 convert number to scientific notation
miss Akunina [59]
The scientific notation is:

<u><em>1.0 x 10^-11</em></u>
8 0
3 years ago
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