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serg [7]
2 years ago
8

HELP ASAP I ONLY HAVE 6 MINUTES LEFT!!

Mathematics
1 answer:
MissTica2 years ago
6 0

Step-by-step explanation:

diameter=14ft

radius=7ft

circumference=2πr

=2×3.142×7

=43.988ft

=44ft(to the nearest whole number)

Area= πr2

=3.142×7×7

=153.958ft

=154ft(nearest whole number)

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Mrs Tan bought 4 times as many pens as notebooks and each notebook cost $8.20 more than each pen. She spent $26 more on the book
lilavasa [31]
Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20

Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4

She spent $26 more on books than on pens which means

Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26

Sinplifying it

(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104

She spent $394 which means

Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394

Simplifying it

(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576

Now, we have two equations,

(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576

Now we need to find a third equation with either x or y as the subject of any of both the previous equations.

Let's make y the subject of (2) equation

8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)

Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)

8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3

Now find the value of y by substituting the value of x in either equation, preferably (3)

y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80

Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50

8 0
3 years ago
Use the common multiple of 24
max2010maxim [7]

Answer:

24, 48, 72, 96, 120

Step-by-step explanation:

I can keep going on but i learned to just put at least 5 and if the person needs  more then just give them ten more

8 0
3 years ago
Mrs. Oliver drew a box plot to represent her students’ scores on a mid-term test.
Rzqust [24]

Answer:

About 1/4 scored higher and 3/4 scored lower

Step-by-step explanation:

84 is on the right side line

Each line represents 25 % of the score

It is 75 percent ( 3 lines) of the way

She scored higher than 75% of the students and lower than 25% of the students

About 1/4 scored higher and 3/4 scored lower

6 0
1 year ago
Which number is IRRATIONAL ?? (if answered really fast, i will give brainiest plus 100 points for the CORRECT answer.
Delvig [45]

Answer:

C

btw Hannah is this one fine? sorry i couldn't remember which question was the chat and sorry i couldn't respond right away im not the person who is on late in the day

Step-by-step explanation:

3 0
3 years ago
4,284 passengers traveling by the intercity bus every day, the intercity bus operates 6 hours every day, find the number of pass
Lemur [1.5K]

Answer:

714

Step-by-step explanation:

So lets go over what we know.

The bus only goes for 6 hours each day.

So lets just think of a full day as 6 hours.

Each day(6 hours), 4284 passangers ride the bus.

To find passangers per hour, we must divide the total passangers by the total hours.

This is 4284(total passangers) divided by 6(total hours):

4284/6

=

714

So each hour, there are 714 passangers.

Hope this helps!

7 0
3 years ago
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