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Usimov [2.4K]
3 years ago
8

At her restaurant, Violet opened 285 cans of tomato sauce. She needs to use 4 cans of sauce for one pan of lasagna. How many pan

s of lasagna could Violet make if she uses all of the cans? Write the answer as a mixed number.
Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

71 1/4 pans of lasagna

Step-by-step explanation:

From the above question:.

4 cans of tomato sauce = 1 pan of lasagna

285 cans of tomato sauce = x

Cross Multiply

4x = 285 × 1

x = 285/4

x = 71 1/4 pans of lasagna

Violet could make 71 1/4 pans of lasagna

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PilotLPTM [1.2K]

See the attachments for the answer :)

8 0
3 years ago
Alex is practicing his dives at a pool. He dives from a dividing board that is 21 feet above the surface of the water. His dive
leonid [27]

Answer:

NO. Alex was wrong.  

The total dive distance is 21 + 17 = 38 feet

Step-by-step explanation:

Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.

So his direction of travelling is not opposite but the same.

Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water  

Distance traveled from the diving board to the water surface = 21 feet

Distance traveled from the water surface down below the water = 17 feet  

Total distance traveled by Alex = 21 feet + 17 feet

   = 38 feet.

Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.

6 0
3 years ago
5. Let A = (x, y), B = {1,2). Find the Cartesian products of A and B: A x B? (Hint: the result will be a set of pairs (a, b) whe
hichkok12 [17]

Answer: A x B = {(x,1), (x,2), (y,1), (y,2)}

Step-by-step explanation:

The Cartesian product of any two sets M and N is the set of all possible ordered pairs such that the elements of M are first values and the elements of N are the second values.

The Cartesian product of sets M and N is denoted by M × N.

For Example : M = {x,y} and N={a,b}

Then , M × N ={(x,a), (x,b), (y,a), (y,b)}

Given : Let A = {x, y}, B = {1,2}

Then , the Cartesian products of A and B will be :

A x B = {(x,1), (x,2), (y,1), (y,2)}

Hence, the Cartesian products of A and B = A x B = {(x,1), (x,2), (y,1), (y,2)}

8 0
3 years ago
Factorise 4x^2-y^2 please help
kotegsom [21]

Answer:

(2x + y)(2x - y)

Step-by-step explanation:

1. Simplify the square 4x²:

(2x)² - y²

2. Apple the difference of two squares formula <em>x² - y² = (x + y)(x - y)</em>:

(2x + y)(2x - y)

hope this helps!

8 0
2 years ago
What’s a equivalent expression using prime factorization for the number 254
erik [133]

So prime factorization is what it seems, <u>finding the prime factors of a number.</u> Using prime factorization, we can break down 254 as such:

\underbrace{254}_{\boxed{2*127}}

Since 2 and 127 are prime,<u> the prime factorization of 254 is 2 × 127.</u>

7 0
3 years ago
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