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padilas [110]
3 years ago
8

A jar that contains quarters and dimes is worth $7.15. If there are a total of 40 coins,

Mathematics
2 answers:
kherson [118]3 years ago
7 0

Answer:

21 quarters and 19 dimes

Step-by-step explanation:

Create a system of equations where q is the number of quarters and d is the number of dimes.

0.25q + 0.1d = 7.15

q + d = 40

Solve by elimination by multiplying the bottom equation by -0.25

0.25q + 0.1d = 7.15

-0.25q - 0.25d = -10

Add them together and solve for d:

-0.15d = -2.85

d = 19

Then, plug in 19 as d into the second equation to solve for q:

q + d = 40

q + 19 = 40

q = 21

So, there are 21 quarters and 19 dimes

klasskru [66]3 years ago
4 0

Answer:

21 Quarters, 19 Dimes.

Step-by-step explanation:

21 x .25 = 5.25

19 x .10 = 1.90

5.25 + 1.90 = 7.15

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4 0
3 years ago
Cameron went into a grocery store and bought 4 apples and 7 mangos, costing a total of $17.75. Gavin went into the same grocery
Mekhanik [1.2K]

Answer:

  • apple: $2.25
  • mango: $1.25

Step-by-step explanation:

Let "a" and "m" represent the cost of an apple and a mango, respectively. Then Cameron's purchase can be represented as ...

  4a +7m = 17.75

Gavin's purchase can be represented as ...

  2a +5m = 10.75

Subtracting the first equation from twice the second gives ...

  2(2a +5m) -(4a +7m) = 2(10.75) -(17.75)

  3m = 3.75

  m = 1.25

Then the price of an apple can be found from the second equation:

  2a +5(1.25) = 10.75

  2a = 4.50 . . . . . . . . . . subtract 6.25

  a = 2.25 . . . . . . . . . . . divide by 2

The price of an apple was $2.25; the price of a mango was $1.25.

3 0
4 years ago
NEED ANSWERED ASAPPPP!!!!
Juli2301 [7.4K]

Option A:

m∠B = 28°

Solution:

Given ABC is a triangle on the circle.

m∠A = 62°

<em>The angle subtended by a diameter or a semicircle on any point of circle is 90°.</em>

AB is a diameter and C is the angle subtended on a diameter.

Therefore, m∠C = 90°.

Triangle sum property:

<em>Sum of the angles of the triangle = 180°</em>

m∠A + m∠B + m∠C = 180°

62° + m∠B + 90° = 180°

m∠B + 152° = 180°

m∠B = 180° – 152°

m∠B = 28°

The measure of angle B is 28°.

Hence Option A is the correct answer.

8 0
4 years ago
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