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Olegator [25]
3 years ago
11

A recipe for trail mix calls for 3/4 cup dried fruits, 1/2 cup mixed nuts, and 1/3 cup granola. How many cups of trail mix does

this recipe
Mathematics
1 answer:
lana66690 [7]3 years ago
3 0
Hello! I would love to help!

Alright, we need to add all the fractions the problem gives us in order to find the answer. However, first, we need to find a common denominator.


So, what number can 2, 4, and 3 all go into?

The lowest number is 12. So, let's call 12 our common denominator.

Now, let's turn all the fractions to 12 as the denominator.

3/4= 9/12

1/2= 6/12

1/3 =4/12


Okay! Let's add the new fractions!

9/12+6/12+4/12=19/12


Let's turn it into a mixed number!

1 7/12

That's the answer!


Hope this helps! Comment if you have any questions!
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Square ABCD is shown below.
valentina_108 [34]

Answer:

35 is the length of BE

Step-by-step explanation:

2(2x + 5) = 8x - 50

4x + 10 = 8x -50

10+50 = 8x-4x

60= 4x

15 = x

2x + 5 = length of BE equal to length of DE

2(15) +5 = BE

30 +5

35 is the length of BE

6 0
3 years ago
Question 1: Four expressions are shown below:
vekshin1

Answers;

Question 1 answer: The first and last option.

Question 1 explanation: 2(4x + 2) is 4x = 12 = 2 = 14 x 2 = 28 and 8x + 4 is 8 x 4 = 32 + 4 = 36 which is 8 more than 28 then, 3x = 9 + 2 + 3 x 2 = 28.

2(4x + 2) = 28 and 8x + 4 equals 36 which is 8 more and they're both equivalent to 2(3x + 2 + x) because 2(3x = 2 = x) equals 28.

6 0
2 years ago
Which graph represents the solution to the given system? y=5x+4; y=5x-3
Mars2501 [29]

Hello from MrBillDoesMath!

Answer:

The lines do not intersect


Discussion:

Where do the lines intersect?

5x + 4 = 5x - 3     =>                   subtract 5x from both sides

4         =       -3      =>  NO WAY! The lines do not intersect


Thank you,

MrB

3 0
3 years ago
Find the sum of the series given in sigma notation.
Kryger [21]

Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

  a1 = 3(6) - 2  = 18 - 2 = 16

put k = 7 in above eq. for finding first term

 a2 = 3(7) - 2 = 21 - 2 = 19

 a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ...  //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = \frac{n}{2}(2a1 + (n-1)d)

      = \frac{7}{2}(2a1 + (7-1)d)

      = \frac{7}{2}(2(16) + (6)3)

      =  \frac{7}{2}(32 + 18)    

      =  \frac{7}{2}(50)

      = 7 * 25

      = 175




4 0
3 years ago
Brian was asked to write x72 as a product of 2 powers with the same base in 4 different ways, using only positive exponents.
Oksana_A [137]

The equivalent expression to the value given using the laws of indices is  {x}^{4(18)}

Evaluating the options given based on the laws of indices :

  • {x}^{8}. {x}^{9}  =  {x}^{8 + 9}  =  {x}^{17}
  • {x}^{35}. {x}^{47}  =  {x}^{35 + 47}  =  {x}^{82}
  • {x}^{4(18)}  =  {x}^{4 \times 18}  =  {x}^{72}
  • {x}^{24}. {x}^{3}  =  {x}^{24 + 3}  =  {x}^{27}

Therefore, the only expression which would give a correct way of representing {x}^{72} \: is \: {x}^{4(18)}

Learn more : brainly.com/question/12937923?referrer=searchResults

8 0
3 years ago
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