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otez555 [7]
2 years ago
10

Pedro fills a glass 2/4 full with orange juice. Write a fraction with a denominator of 6 that us greater than 2/4. (Please show

me how you found it)
Mathematics
2 answers:
Setler79 [48]2 years ago
4 0
Ok...so 2/4 = 1/2 or 0.5.....and u want a fraction with a denominator of 6 greater then this...

3/6 is not greater, it is equal....so try 4/6.......4/6 = 0.66....so it is greater then 2/4 and has a denominator of 6
iris [78.8K]2 years ago
3 0

Answer:

\frac{4}{6}\ is\ greater\ than \frac{2}{4}.

Step-by-step explanation:

As given

Pedro fills a glass \frac{2}{4} full with orange juice.

Now \frac{2}{4} is written in the decimal form .

\frac{2}{4} = 0.5

Now find out  a fraction with a denominator of 6 that us greater than  \frac{2}{4} .

First take

\frac{1}{6} = 0.16\ (Approx)

Thus

Clearly \frac{1}{6}\ less\ than\ \frac{2}{4}.

Sceond take

\frac{2}{6} = 0.33

Thus

\frac{2}{6}\ less\ than\ \frac{2}{4}.

Clearly \frac{2}{6}\ less\ than\ \frac{2}{4}.

Third take

\frac{3}{6} = 0.5

Thus

\frac{3}{6}\ is\ equal\ to \frac{2}{4}.

Fourth take

\frac{4}{6} = 0.66\ (Approx)

Thus

\frac{4}{6}\ is\ greater\ than \frac{2}{4}.

Therefore \frac{4}{6}\ is\ greater\ than \frac{2}{4}.

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To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical
denis23 [38]

Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical  mass is dropped onto the mat from a height of 1 m above the mat. During the impact,  the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to  only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

a)

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= 20 \times 9.8 \times 1 = 196 J

b)

Work done  by the mat do to stop the fall of the cylinder =-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J

C)

Work done=\text{Average force} \times \text{ Compression of mat}

208=F \times 0.06

F=3467J

8 0
2 years ago
PLEASE HELP!
Bond [772]

Let x be the number of Standard Specials sold last Monday and y be the number of Deluxe specials sold last Monday.  

The Standard special sells for $2, then x Standard Specials cost $2x.

The Deluxe special sells for $4.50, then y  Deluxe specials cost $4.50y.

1. Last Monday, PB&P sold at least $200 worth of Standard and Deluxe peanut butter and pickle sandwich specials. This means that

2x+4.50y≥200.

2.  When all related business expenses are included, the Standard special costs $0.50 to prepare, then x Standard Specials cost $0.50x.

When all related business expenses are included, the Deluxe special costs $1.25 to prepare, then y Deluxe specials cost $1.25y.

Expenses were no more than $100, then

0.50x+1.25y≤100.

3. At least 30 Standard special were sold, then x≥30.

4. Graph all these inequalities (see attached diagram). As you can see only point (60,70) doesn't belong to needed region.

Answer: all points except point (60,70)

8 0
2 years ago
Read 2 more answers
Is (5,4) a solution of the system of linear equations?
TEA [102]

Answer:

Yes

Step-by-step explanation:

If you have any questions about the way I solved it,don't hesitate to ask

Glad to help

4 0
2 years ago
in triangleABC the side lengths are b=13, ac=21 and bc=x. write a compound inequality the represents the range of possible value
tankabanditka [31]

Answer:

8 < x < 34

Step-by-step explanation:

ab = 13, ac = 21, bc = x

The longest side of a triangle must be less than the sum of the other two sides.

If 21 is the longest side:

21 < 13 + x

8 < x

If x is the longest side:

x < 13 + 21

x < 34

Therefore, 8 < x < 34.

3 0
2 years ago
For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations
Nookie1986 [14]

Option C

The expression 20(22 - x) represents the value of the $20  traveler's checks she has.

<u>Solution:</u>

Given, For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations travelers checks in all,  

We have to find how many of each denomination does she have?

Let x represent the number of $10 traveler's checks she has,

Then, $10(x) + $20(number of $20 checks) = 300

10x + 20($20 checks) = 300

x + 2(number of $20 checks) = 30 ⇒ (1)

Now let us see the given options, for value of $20 checks,

It should be in format, that, $20 x number of $20 checks  

⇒ 20(total checks - $10 checks) ⇒ 20(total checks – x), as we can see only C is in that format, it is correct and total number of checks = 22.

Then, (1) ⇒ x + 2(22 – x) = 30

⇒ x + 44 – 2x = 30

⇒2x – x = 44 – 30

⇒ x = 14

So, $10 checks count = 14, then, $20 checks count = 22 – 14 = 8.

Hence, there are 14 $10 checks and 8 $20 checks, and option c is correct.

7 0
2 years ago
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