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Ivahew [28]
3 years ago
10

Yolanda paid for her movie ticket using 28 coins, all nickels and quarters. The ticket cost $4. Which system of linear equations

can be used to find the number of nickels, n, and the number of quarters, q, Yolanda used?
n + q = 28
0.05n + 0.25q = 4
n + q = 4
5n + 25q = 28
n + q = 28
5n + 25q = 4
n + q = 4
0.05n + 0.25q = 28
Mathematics
2 answers:
Tamiku [17]3 years ago
6 0

Answer:

The answer is A :>

Anvisha [2.4K]3 years ago
3 0

Answer:

n + q = 28 0.05n + 0.25q = 4

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Someone please help me answer this!!
steposvetlana [31]

Answer:

10 units is the answer.

Step-by-step explanation:

points are (-3,2) and (-9,-6)

Pythagorean theorem can be written as,

d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-9-(-3))^2 + (-6-2)^2}\\\\d=\sqrt{(-6)^2+(-8)^2} \\\\d=\sqrt{36+64} \\\\d=\sqrt{100} \\\\d=10

∴ distance between the points = 10 units

4 0
3 years ago
(c) The total number of one centimeter lines in the first n diagrams is given by the expression
trapecia [35]

Answer:

I) f + g = 10/3

II) 4f + 2g = 20/3

III) f = 2 and g = 4/3

Step-by-step explanation:

From the chart,

P = 25

q = 40

The total number of one centimeter lines in the first n diagrams is given by the expression 

2/3n^3 + fn^2 + gn. 

When n = 1, the total number of line = 4. So,

2/3(1)^3 + f(1)^2 + g(1) = 4

2/3 + f + g = 4

Make f+g the subject of formula

f + g = 4 - 2/3

f + g = (12 - 2)/3

f + g = 10/3 ......(1)

When n = 2

Total number of line = 12

2/3(2)^3 + f(2)^2 + g(2) = 12

2/3×8 + 4f + 2g = 12

16/3 + 4f + 2g = 12

4f + 2g = 12 - 16/3

4f + 2g = (36 - 16)/3

4f + 2g = 20/3 ......(2)

(iii) To find the values of f and g, solve equation 1 and 2 simultaneously

f + g = 10/3 × 2

4f + 2g = 32/3

2f + 2g = 20/3

4f + 2g = 32/3

- 2f = - 12/3

f = 12/6

f = 2

Substitutes f in equation 1

f + g = 10/3

2 + g = 10/3

g = 10/3 - 2

g = (10 - 6)/3

g = 4/3

4 0
3 years ago
Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circula
WITCHER [35]

Answer:

The area of the putting green is 1133.5 square feet.

Step-by-step explanation:

Area of a circle:

The area of a circle is given by:

A = \pi r^2

In which r is the radius, which is half the diameter.

The circular putting green has a diameter of 38 ft.

This means that r = \frac{38}{2} = 19

What is the area of the putting green?

A = \pi r^2 = 3.14 * 19^2 = 1133.5

The area of the putting green is 1133.5 square feet.

5 0
3 years ago
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