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vladimir2022 [97]
3 years ago
9

Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?

Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0
0.05n + 0.25q = 1.60
q = 3n

0.05n + 0.25(3n) = 160
0.05n + 0.75n = 1.60...multiply by 100 to get rid of the decimals
5n + 75n = 160...answer D

horrorfan [7]3 years ago
4 0
To answer the question, let the number of nickels Peggy has be n. By this, the Peggy has 3n quarters. The total amount of all his nickels and quarter is equal to $1.60. The equation that best describe the situation is, 
                            25(3n) + 5(n) = 160
Simplification leads to,
                             75n + 5n = 160
Thus, the answer is letter D. 
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Una limusina cuesta $ 85 para alquilar por 3 horas más un 7% de impuesto sobre las ventas. Cúal es el costo total
Sati [7]

Answer:

$181.9

Step-by-step explanation:

Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.

English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.

5 0
3 years ago
Simplify the expression.<br> (the quantity x to the one-sixth power end quantity to the power of 3.)
Usimov [2.4K]

Answer:

\sqrt{x}

Step-by-step explanation:

If we have that worded expression, we can convert it into actual mathematical terms.

x to the one sixth power: x^{\frac{1}{6}}

That to the power of 3:

(x^{\frac{1}{6}})^3

Using exponent rules, since we have a power to a power, the powers multiply, so:

x^{\frac{1}{6}\cdot 3}\\\\x^{\frac{3}{6}}\\\\ x^{\frac{1}{2}}

If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.

So:

x^{\frac{1}{2}} = \sqrt{x}

Hope this helped!

8 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!
aivan3 [116]

Answers:

  • A
  • C
  • D

Step-by-step explanation:

<em>We must simplify each option to see if they are equivalent to -\frac{3}{8}.</em>

<em>Lets try A.</em>

-\frac{6}{16} can be simplified to -\frac{3}{8} by dividing both the numerator and denominator by 3.

-\frac{6}{16} ÷ \frac{3}{3} = -\frac{3}{8}

A is correct!

<em>Lets try B</em>

\frac{12}{32} simplifies to \frac{3}{8}. However, because this answer is not negative, it is not equivalent.

<em>Lets try C</em>

There is a negative in the numerator, making this fraction negative. So yes, \frac{-3}{8} = -\frac{3}{8}.

  • Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive

C is correct!

<em>Lastly, Lets try D</em>

There is a negative in the denominator, so this fraction is negative. \frac{9}{-24} can be simplified by dividing by 3 to -\frac{3}{8}.

\frac{9}{-24} ÷3 = -\frac{3}{8}

D is correct!

  • Hope this helped you!~

<em />

6 0
4 years ago
Kate prepared 9 kilograms of dough after working 3 hours. How many hours did Kate work if she prepared 12 kilograms of dough? As
beks73 [17]

Answer:

4 hours

Step-by-step explanation:

cross multiply

3 0
3 years ago
Write -5i, 2, and 7 in the simplest polynomial function given the roots
ruslelena [56]

Answer:

x^4-9x^3+39x^2-225x+350

Step-by-step explanation:

The simplest polynomial you can get with that roots are (x-5i)(x+5i)(x-2)(x-7)=x^4-9x^3+39x^2-225x+350

8 0
3 years ago
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