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Leto [7]
3 years ago
14

You have decided to cash in all of the coins you have been saving for the summer. In total you have $7.20. You only have dimes a

nd quarters, and you know that you have twice as many dimes as you do quarters. How many quarters do you have in total? How many dimes? (HINT: think about what you know of dimes and quarters!)
Mathematics
1 answer:
muminat3 years ago
8 0

Answer:

The number of quarters in total = 16 quarters

The number dimes = 32 dimes

Step-by-step explanation:

The given information are;

The total amount of money in held = $7.20

The denomination of the money held = Dimes and quarters

The number dimes = 2 × The number of quarters

Given that a dime = 10 cents = $0.1

A dollar = 25 cents = $0.25

Let the number of quarters in the sum of money = X

Therefore, we have;

X × $0.25 + 2 × X × $0.1 = $7.20

X × $0.25 + X × $0.2 = $7.20

X × $0.45 = $7.20

X = $7.20/$0.45 = 16

Therefore, the number of quarters = 16

The number of quarters in total = 16 quarters

The number dimes = 2 × The number of quarters = 2 × 16 = 32 dimes

The number dimes = 32 dimes.

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log to the base b of x  = ----------------------------------
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Compare this to answer choice C:

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FromTheMoon [43]

Complete question is;

Match the polynomial in the left column with its descriptive feature in the

right column

A.) x³ + 3x² - 2x + 7

B.) 3a³ b ^(6)

C.) 3x⁴ – 9x³ + 5x^(8)

D.) 7a³ b ² + 18ab² c – 9a³

E.) 2x^(5) – 9x³ + 8x^(7)

F.) 4x^(8) – 7x² + 9

G.) x² − 7

I. 9th degree monomial

II. Constant term of −7

III. 7th degree polynomial

IV. Leading coefficient of 4

V. Four terms

VI. 5th degree polynomial

VII. Equivalent to 5x^(8) + 3x⁴ – 9x³

Answer:

A) For polynomial x³ + 3x² - 2x + 7 : Option V - 4 Terms

B) For polynomial 3a³ b ^(6) : option I - 9th degree monomial

C) For the polynomial 3x⁴ – 9x³ + 5x^(8) : Option VII - Equivalent to 5x^(8) + 3x⁴ – 9x³

D) For the polynomial 7a³b² + 18ab²

c – 9a³ : Option VI - 5th degree polynomial.

E) For the polynomial 2x^(5) – 9x³ + 8x^(7) : Option III - 7th degree polynomial.

F) for the polynomial 4x^(8) – 7x² + 9 : Option IV - Leading coefficient of 4

F) For the polynomial x² − 7 : Option II - Constant term of −7

Step-by-step explanation:

A) Most appropriate matching descriptive feature for the polynomial x³ + 3x² - 2x + 7 is Option V - 4 Terms

B) Most appropriate matching descriptive feature for the polynomial 3a³ b ^(6) is option I - 9th degree monomial. This is because the sum of the powers of a and b is 9.

C) Most appropriate matching descriptive feature for the polynomial 3x⁴ – 9x³ + 5x^(8) is Option VII - Equivalent to 5x^(8) + 3x⁴ – 9x³

D) Most appropriate matching descriptive feature for the polynomial 7a³ b ² + 18ab² c – 9a³ is Option VI - 5th degree polynomial. This is because the highest sum of powers attached to a and b in a figure is 2 + 3 = 5.

E) Most appropriate matching descriptive feature for the polynomial 2x^(5) – 9x³ + 8x^(7) is Option III - 7th degree polynomial. This is because the highest power of x is 7.

F) Most appropriate matching descriptive feature for the polynomial 4x^(8) – 7x² + 9 is Option IV: Leading coefficient of 4. This is because the coefficient attached to the largest power of x is 4.

G) Most appropriate matching descriptive feature for the polynomial

x² − 7 is Option II - Constant term of −7

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