Let q and n represent the number of quarters and nickels respectively.

q=3n and .05n+.25q=1.6 These are the conditions in mathematical terms.

To solve, use the value of q from the first equation in the second equation to get:

.05n+.25(3n)=1.6 carry out indicated multiplication on left side

.05n+.75n=1.6 combine like terms on left side

.8n=1.6 divide both sides by .8

n=2, since q=3n

q=6

So Peggy had 2 nickels and 6 quarters.

3 0

3 years ago

Factor to the given polynomial completely. 4x³+24x²-288x

STatiana [176]

Answer: $\Large\boxed{4x(x+12)(x-6)}$

Step-by-step explanation:

Given expression

4x³ + 24x² - 288x

Factorize 4x out from the expression

4x · x² + 4x · 6x - 4x · 72

4x (x² + 6x - 72)

Cross multiply to factorize the remaining polynomial expression

The meaning is to allow the factored product of the constant to add up to the first-degree term

x 12

x -6

Combine the result

$\Large\boxed{4x(x+12)(x-6)}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

1 year ago

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At a pizza shop you can choose thick or thin crust, red or white sauce, and toppings of pepperoni, cheese, or vegetarian. How ma

BartSMP [9]

Answer: there is 4 options.

Step-by-step explanation:

there is 2 crusts, 2 sauces, and 3 toppings. he doesn't want pepperoni or white sauce so now there is

2 crusts, 1 sauce, and 2 toppings.

2 times 1 times 2 = 4.

6 0

3 years ago

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