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Anna11 [10]
3 years ago
5

A loaf of bread is cut into slices of equal size. Some of the loaf is used in a recipe and 2/12 of the loaf is used to make a sa

ndwich. The remaining 7/12 of the loaf is put into the refrigerator. What fraction of the loaf of bread is used in the recipe?
Mathematics
2 answers:
gtnhenbr [62]3 years ago
5 0
Answer:
Fraction of bread used in the recipe is 3/12 which can be further simplified into 1/4

Explanation:
The original loaf of bread is 100% complete (no fraction is taken from it yet). This means that the value of the original loaf is 12/12

Now, assume that the fraction used in the recipe is x

We know that:
2/12 of the loaf was used in making a sandwich
7/12 of the oaf was put in the refrigerator

Therefore:
complete loaf = fraction used in making a sandwich + fraction used in making recipe + fraction put in refrigerator
12/12 = x + 2/12 + 7/12
12/12 = x + 9/12
x = 12/12 - 9/12
x = 3/12 

Hope this helps :)
Ksenya-84 [330]3 years ago
4 0

1 = (x + 2 + 7) \div 12 \\ x = 3
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3 years ago
Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by
KatRina [158]

Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

6 0
3 years ago
Find the missing side of the triangle.​
lys-0071 [83]

Answer:

x=√40

Step-by-step explanation:

In above figure,

h=7

b=3

p=x=?

Now,

by Pythagoras theorem,

p =   \sqrt{ {h }^{2}   - {b}^{2} }  \\  =   \sqrt{ {7}^{2}  -  {3}^{2} }  \\  =  \sqrt{49 - 9}  \\  =  \sqrt{40}

4 0
3 years ago
Read 2 more answers
Can someone help please?
Serggg [28]

Answer:

lower bound: 315 litres

upper bound: 324 litres

Step-by-step explanation:

The following rules apply:

  • if the last digit of the number is 1, 2, 3, or 4; it is rounded down
  • if the last digit of the number is 5, 6, 7, 8, or 9. ; it is rounded up

So:

314 is  rounded to 310

315 is  rounded to 320

324 is  rounded to 320

325 is  rounded to 330

3 0
3 years ago
John and will ran for 6th grade class president.there were 36 students voting. John got two votes for every vote will got. How m
labwork [276]
Will got 12 and John got 24.

You would set the equation as:

36=n+2n

Combine like terms

36=3n

Divide 3 from both sides

12=n

If you want to check it

12+2(12)=36

12+24=36

36=36
3 0
3 years ago
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