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Anna [14]
3 years ago
5

Vina has $4.70 in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than qua

rters. How many of each coin does she have?
Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Nickels (0.05): Q + 6

Dimes (0.10): Q + 8

Quarters (0.25): Q

Nickels        +    Dimes      +  Quarters  = Total

0.05(Q + 6)  + 0.10(Q + 8) +   0.25(Q)    = 4.70

0.05Q + 0.30 + 0.10Q + 0.80 + 0.25Q = 4.70

                                         0.40Q + 1.10 = 4.70

                                                   0.40Q = 3.60

                                                            Q = 9

Nickels (0.05): Q + 6  = (9) + 6  = 15

Dimes (0.10): Q + 8   = (9) + 8   = 17

Answer: Nickels = 15, Dimes = 17, Quarters = 9

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El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,

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Answer:

3.6 horas

Step-by-step explanation:

Sea el número total de horas que ambos trabajaron = T

Deje que la cantidad total de letras por las que pasaron = 1

De la pregunta, se nos dice:

Lourdes necesitó 6 horas para revisar las cartas.

Esto significa que, cada 1 hora, Lourdes revisaba 1/6 de las letras

Rosabel tardó 9 horas en leer las letras.

Esto significa que, cada 1 hora, Rosabel revisó 1/9 de las letras

Por lo tanto,

(1/6 × 1) T + (1/9 × 1) T = 1

(1/6 + 1/9) T = 1

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5T / 18 = 1

Cruz multiplicar

5T = 18

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3 years ago
A newspaper editor starts a retirement savings plan in which $225 per month is deposited at the beginning of each month into an
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Answer: the value of this investment after 20 years is $112295.2

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

Since there are 12 months in a year, then

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Therefore,

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7 0
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