Which expression is equivalent to (2x*y); 2 O 2x?y4 0 2412 8x?y 8x12,2

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

Solution:

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

4 years ago

Write a function rule for the area A of a triangle whose base, b, is 2 cm less than seven times the height, h. What is the area

pochemuha

Let h be the height of the triangle. With this the base may be represented as 7h - 2. The area of the triangle is half the product of its base and height. Therefore,
A = (1/2)bh = (1/2)(7h - 2)h
Substitute to the equation the value of h,
A = (1/2)((7)(14 cm) - 2)(14 cm)
A = 672 cm²

7 0

3 years ago

Read 2 more answers

If I put a different sticker on the 30th, 50th, and 60th pages will any of the first 600 pages have all 3 stickers?

icang [17]

Answer:

so the which page that will have the 3 sticker, we must solve the least common multiple of 30, 50, 60. A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, ....

The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

so the least common multiple of 30, 50 and 60 is 300. so the page that will have 3 stickers is 300th page

Step-by-step explanation:

8 0

3 years ago

What’s the range discounts

photoshop1234 [79]

Up to 50% off everything in The Range clearance sale. From furniture and lighting to health and beauty, toys, garden and outdoor goods, make outstanding savings on the fast-selling stock. Browse through the assortment on offer and take up to 50% off your purchase at The Range.

5 0

2 years ago

The square of 9 less than a number is 3 less than the number. What is the number?

gavmur [86]

Answer: D

Step-by-step explanation:

(x-9)² = x-3

(x-9) (x-9)= x-3

x² - 9x-9x +81 = x-3

x² -18x+81 =x-3

x²-19x+84 =0

(x-12)(x-7)=0

x=12 or 7

3 0

4 years ago