Let f be the fathers age and let s be the sons age

f = 60 s = 30
when f = 45
s = 15 which is only a third if his fathers age

when f = 40
s = 10 which is a quarter of his fathers age

therefore when his father was 4 times his age, the son was 10

4 0

3 years ago

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

Bond [772]

Answer:

$y \ge 20 - x$

$y \le 80 -5x$

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

Step-by-step explanation:

Given

$Nickels = x$

$Pennies = y$

$Amount = \$0.80$ maximum

$Coins = 20$ minimum

Required

Solve graphically

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

For number of coins, we have:

$x\ +\ y\ge 20$ 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

So, we have the following equations:

$x\ +\ y\ge 20$

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

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:

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

4 0

2 years ago

PLZ HELP I GIVE OUT BRAINIEST EXPLAIN WHY U THINK THAT ANSWER AND TO GET BRAINIEST U HAVE TO GET THE ANSWER RIGHT!

bearhunter [10]

Answer:

It's B.) They developed religious beliefs and practices.

Step-by-step explanation:

I just took the test

4 0

2 years ago

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Huixian mother buys some shares of company A on day 0. on day 7, the share price of company a is $4.60. if she sells all her sha

Wewaii [24]

I think that u might want to do the share the company money i could be wrong but if i sm sorry

4 0

2 years ago