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3 years ago

In the first quadrant, you start at (7,4)

Mathematics

1 answer:

Xelga [282]3 years ago

6 0

Answer:

Step-by-step explanation:

From O(7,4), when you move a point 4 units left, abscissa decreases by 4,i.e it becomes 3 and when you move a point 3 units up, ordinate increases by 3,i.e it becomes 7.

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Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.

serious [3.7K]

The greatest number of sandwiches that Olivia can make is 12.

3 slices of cheese will be on each sandwich

<u>Solution:</u>

Given that, Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.

We have to find what is the greatest number of sandwiches that Olivia can make? And how many slices of cheese will be on each sandwich?

Let the number of sandwiches be "n"

Then, number of slices of ham per sandwich $=\frac{48}{n}$

And, number of slices of cheese per sandwich $=\frac{36}{n}$

As slices can’t be fractions, "n" should be a factor of 48 and 36. So now let us find H.C.F of 48 and 36 as we want greatest number of sandwiches that Olivia can make.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36

The common factors are those which appear on both factors of 48 and 36 are 1, 2, 4, 6, and 12.

Out of these common factors, 12 is the greatest

So, H.C.F of 48 and 36 is 12, which means n = 12

Then, number of cheese slices per sandwich $=\frac{36}{12}=3$

Hence, 12 sandwiches can be made with 3 slices of cheese per sandwich.

8 0

3 years ago

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!

pantera1 [17]

Answer:

N= -4

Step-by-step explanation:

Since mid-point of -13 and 3 is -4.

4 0

3 years ago

Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequ

mart [117]

Answer:

4^n-1

Step-by-step explanation:

So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)

Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items

In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).

Applying "ar^n-1 " we get,

1*4^n-1 which is , 4^n-1

Thats the formula which represents the situation....

3 0

2 years ago

Solve 28 less than or equal to 4n

Brums [2.3K]

Answer:

7 $\leq$ n

Step-by-step explanation:

28 $\leq$ 4n

divide by 4 on both sides

7 $\leq$ n

4 0

3 years ago

Alex needs 80 cm of thread for a sewing project. The thread is on a spool with a circumference of 10 cm. How many times must ale

Mrrafil [7]

<u>Answer:</u>

If the spool has 10 cm of circumference or perimeter, this means that 10 cm of thread fits the whole circumference of the spool, which also means that

<h2>1 unwind is equivalent to 10 cm of thread. </h2>

Then, we have to make the following question:

If 10 cm of thread is equivalent to 1 unwind, to how many unwinds is equivalent 80 cm of thread?

If we want to know how many time does Alex need to unwind the spool, we can use the following relation also called the <u>Rule of Three: </u>

$10 cm----1 unwind$