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3 years ago

Factor completely. 2x4 + 4x3 – 30x2? =

1 answer:

4 0

Answer: -40

Multiply 2 by 4.
8+4•3-30•2
Multiply 4 by 3
8+12-30•2
Multiply-30 by 2
8+12-60
Simplify by adding and subtracting:
Add 8 and 12
20-60
Subtract 60 from 20
-40

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3 years ago

You have total coins for a total of $. . You only have quarters and dimes. Let represent the number of quarters and represent th

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Answer:

$Quarters = 41$

$Dimes = 18$

Step-by-step explanation:

Given

$Coins = 59$

$Worth = \$12.05$

$d = dimes$

$q = quarters$

Required

The number of each coin

The total coins can be represented as:

$d + q = 59$

$1\ quarter = \$0.25 \\ 1\ dime = \$0.10$

So, the worth of the coin is:

$0.25q + 0.10d = 12.05$

The equations to solve are:

$0.25q + 0.10d = 12.05$

$d + q = 59$

Make d the subject in: $d + q = 59$

$d =59 - q$

Substitute $d =59 - q$ in $0.25q + 0.10d = 12.05$

$0.25q + 0.10(59 - q) = 12.05$

$0.25q + 5.9 - 0.10q = 12.05$

Collect like terms

$0.25q - 0.10q = 12.05 - 5.9$

$0.15q = 6.15$

Solve for q

$q=\frac{6.15}{0.15}$

$q=41$

Substitute $q=41$ in $d =59 - q$

$d = 59 - 41$

$d = 18$

So:

$Quarters = 41$

$Dimes = 18$

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3 years ago

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Add 39 to each side

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Divide each side by 13

104/13 = 13x/13

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65+z = 180

Subtract 65 from each side

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