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3 years ago

Sixteen is fourteen less than the product of a number and five. What is the number?

Mathematics

2 answers:

Sliva [168]3 years ago

8 0

5*?=?-14=16
5*6=30
30-14=16

Lostsunrise [7]3 years ago

6 0

16=5x-14
+14 +14
30=5x
/5 /5
6=x
X=6

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3 years ago

Brianna has x nickels and y pennies. She has no less than 20 coins worth no more

Bond [772]

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Step-by-step explanation:

Given

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Required

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First, we need to determine the inequalities of the system.

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$x\ +\ y\ge 20$ because the number of coins is not less than 20

For the worth of coins, we have:

$0.05x\ +\ 0.01y\ \le0.80$ because the worth of coins is not more than 0.80

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$x\ +\ y\ge 20$

$0.05x\ +\ 0.01y\ \le0.80$

Make y the subject in both cases:

$y \ge 20 - x$

$0.01y \le 0.80 - 0.05x$

Divide through by 0.01

$\frac{0.01y}{0.01} \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}$

$y \le \frac{0.80}{0.01} -\frac{ 0.05x}{0.01}$

$y \le 80 -5x$

The resulting inequalities are:

$y \ge 20 - x$

$y \le 80 -5x$

The two inequalities are plotted on the graph as shown in the attachment.

$y \ge 20 - x$ --- Blue

$y \ge 80 -5x$ --- Green

Point A on the attachment are possible solutions

At A:

$(x,y) = (15,5)$

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2 years ago

Diane has $814 in her checking account. If she writes five checks for a total of $287, how much does she have left

gregori [183]

Answer:

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Find how much she has left by subtracting 287 from 814:

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