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umka2103 [35]
3 years ago
10

The ratio of pencils to pens is 4 to 6. If there are 24 pencils in the classroom, how many pens are there?

Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer:36

Step-by-step explanation:

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Answer:

2/4 as a fraction: 2/4

as a decimal: 0.5

as a percent: 50

Step-by-step explanation:

I hope that helps

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Answer:

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Step-by-step explanation:

7 0
3 years ago
If 3y+2 is an odd integer then what is the odd integer that follows it
UNO [17]

Answer:

3y + 4

Step-by-step explanation:

All odd integers are 2 units appart.Take for example the odd integers: 1, 3, 5, 7, 9, they all are 2 units apart from the next odd integer. Therefore, if 3y + 2 is an odd integer, then the next odd integer is 3y + 2 + 2 = 3y + 4. For example, if y = 1 , then the first odd integer is 3(1) + 2 = 5, and the odd integer that follows it is 3(1) + 4 = 7

8 0
3 years ago
The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is soli
stiks02 [169]
The first line through points (-3, 0) and (-4, -1) is the orange line.

The second line, through (1, 1) and (2, -1) is the purple line.

Since they are both shaded below, the intersection of the shaded regions, is the region colored in blue.

Both lines are included, since they are solid lines.



The equation of the first line can be found as follows:

the slope is \frac{0-(-1)}{-3-(-4)}=\frac{1}{1}=1, thus, the equation is:
y-0=1(x-(-4))\\\\y=x+4


The equation of the second line can be found as follows:

the slope is \frac{1-(-1)}{1-2}= \frac{2}{-1}=-2, 

thus the equation of the second line is :


y-1=-2(x-1)\\\\y-1=-2x+2\\\\y=-2x+3


We have to decide on the direction of the inequality sign, so we pick a point, for example (0, 4) which is not in the colored regions of the lines, 

so we write the inequalities so that they do not hold for (0, 4)


line 1:

y≥x+4

4≥0+4=4 is true, so we change the sign and write : y≤x+4


similarly, line 2:

y≤-2x+3

4≤-2*0+3=3, which is not true, so we have the correct direction.


Note that since the lines were solid, we include the equality case:


Answer: 

the shaded region is the solution to the system of inequalities:

i) y≤x+4
ii) y≤-2x+3

3 0
2 years ago
Read 2 more answers
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