lydia has $20 to buy school supplies each pencil cost $0.59 and each notebooks cost $3.50 she decides that she will buy as many notebooks as she can for $12 and as many pencils as she can

Answers

Answer 1

Answer: 3 notebooks and 16 pencils with $0.06 left over

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Solve the equation 3(y-9)=7y+2

Answers

Step-by-step explanation:

I'm really really sorry if I'm wrong...

3(y-9)=5y+2

3y - 27 = 5y + 2

+ 27 + 27

3y = 5y + 29

-5y -5y

-2y = 29

-2 -2

y = -14.5

First, distribute.
$3y - 27 = 7y + 2$
Subtract the 3y from both sides.
$- 27 = 4y + 2$
Subtract 2 from both sides.
$- 29 = 4y$
To get the variable by itself, divide by 4.
$- (29)/(4) = y$
Your answer is:
$y = - (29)/(4)$

Please help this is do tomorrow

Answers

Okay, then ask an answer!

2. is 50 beacuse to find the unit rate you divide

a charter bus travels 210 miles in 3 1/2 hours. assume the distance traveled is directly proportional to the time traveled. write and solve a direct variation equation to find how far the bus travel in 6 hours.

Answers

The constant of variation is 60 miles.

Direct variation formula: y = kx

y = 210
x = 3 1/2 miles
k = ?

k = y/x
k = 210 / 3 1/2 miles

*convert mixed fraction into a simple fraction
3 1/2 = (3*2+1)/2 = 7/2
k = 210 ÷ 7/2

Remember the rule of dividing fractions: multiply the 1st fraction by the reciprocal of the 2nd fraction.
1st fraction = 210 ⇒ 210/1
2nd fraction = 7/2 ⇒ reciprocal = 2/7

k = 210/1 * 2/7 = (210*2)/(1*7) = 420/7 = 60

The constant of variation is 60 miles.

To check:
y = kx
y = 60 (3.5)
y = 210 miles

We set up an equation: 210 miles/ (3 1/2 hours)= ? miles/ 6 hours

Cross multiply:
? miles* 3 1/2 hours= 210 miles* 6 hours
⇒ ? miles= 210 miles* 6 hours/ (3 1/2 hours)= 360 miles.

The bus would travel 360 miles in 6 hours~

A high school graduating class is made up of 462 students. There are 132 more girls than boys. How many boys are in the class?

Answers

Answer: There are 165 boys

Step-by-step explanation:

Let's call b the number of boys and call g the number of girls in the class.

Then we know that:

There are 462 students. This is:

$b + g = 462$

We also know that there are 132 more girls than boys, this means that:

$g = b + 132$

Now we substitute the second equation in the first and solve for b.

$b + (b + 132) = 462$

$2b = 462-132$

$2b = 330$

$b = 165$

Mrs. Dimas has $130 to buy basketballs for Edison Middle School

Answers

Mrs. Dimas has $130 to but basketballs for Edison Middle School. How many can she buy at $15 each? interpret the reminder

you can't go over budget

cost=cost per backetball times number of basketbals
cost=15 times b
cost≤130
15b≤130
divide both sides by 15
b≤8 and 10/15
b≤8 and 2/3
round down because you can't buy 2/3 basketball

buy 8
the remainder means you have 2/3 of $15 left or $10

Answer:

Step-by-step explanation:

Express 24 as a percentage of 44?

Answers

(24/44) x 100 = 54.55% (2dp)

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