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Stels [109]
3 years ago
6

Two batches of soup will serve 8 people. Lonnie needs to make enough soup for 120 people. If the recipe calls for 2 onions for o

ne batch, how many onions will Lonnie need?
Mathematics
2 answers:
Inessa05 [86]3 years ago
5 0
<span><em>"2 batches of soup will serve                            8 people."</em>
<u>Then x </u></span><span><u>batches of soup will serve                         120 people         
</u>120.2 = 8.x
x = 30 batches of soup will serve 120 people.

<em>"2 onions for                1 batch"</em>
<u>Then y onions for         30 batches                                                          
</u>30.2 = 1.y
y = 60 onions<u>




</u></span>
zlopas [31]3 years ago
5 0
2 batches - 8 people 
2 onions - 1 batch
x onions- 120 people
From proportion
y batches-120 people
2batches - 8 people
after cross multiplication
120/8=15*2=30 batches 
x onions - 30 batches
2 onions- 1 batches
30 batches *2=60 onions
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there are 30 flowers in a vase 2.5 of flowers are roses. 1/6 of the flowers are daisies. the rest of the flowers are carnations.
tekilochka [14]

Answer:

13 carnations

Step-by-step explanation:

Assuming you meant 2/5 because 2.5 would mean there are more roses in the vase than there are flowers in the vase, heres how to solve this.

Understanding

Each fraction is referring to "flowers" not "remaining flowers" and as such each time we will be comparing to the total.

2/5 of the total flowers are roses. This is written in words as for every 5 flowers two are roses, which means we will multiply 2 by how many sets of five we have in 30 flowers.

(30/5) x 2 =

(6) x 2 = 12 roses

Though with fractions its written as 30/1*2/5 which is the same as (30 x 2)/5

60/5 = 12 roses

Following this logic for every 6 flowers one is a daisy.

30/1 * 1/6 = (30 x 1)/6 = 30/6 = 5 daisies

Because the rest are carnations we want to subtract the amount of daisies and roses from the total amount of flowers to find the remaining flowers.

30 - 5 - 12 = 13 carnations

Hope this helps,

8 0
3 years ago
Which ofnthe following shows the correct use of distributive property when solving 1/3(33-x)=135,2
madam [21]

Answer: OPTION C.

Step-by-step explanation:

The missing options are:

A. (33 - x) = \frac{1}{3} * 135.2\\\\B. (\frac{1}{3} *33) - \frac{1}{3} x = \frac{1}{3} * 135.2\\\\C.(\frac{1}{3}  * 33) - \frac{1}{3} x = 135.2\\\\D. (\frac{1}{3}  * 33) + \frac{1}{3} x = 135.2

In order to solve this exercise you need to remember the following:

1. The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ac

2. The multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

In this case the exercise gives you the following equation:

\frac{1}{3}(33-x)=135.2

Since you need to solve for the variable "x" in order to  find its value, the first  step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.

Then, you must multiply everyting inside the parentheses by \frac{1}{3}.

Therefore,based on the explanation, you know that the correct use of the Distributive property is:

\frac{1}{3}*33-\frac{1}{3}x=135.2

8 0
3 years ago
Victor made a cake for his cousin's birthday party. Victor baked the cake for 40 minutes. It took 8 times as long for Victor to
irga5000 [103]

Answer:

320 min. or 5 hrs 20 min.

Step-by-step explanation:

40 x 8 = 320

6 0
2 years ago
Domain and Range Mapping Diagrams
Lapatulllka [165]

Answer:

Step-by-step explanation:

5 0
2 years ago
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Or her comic books and then bought 8 more. She now has 13. How many did she begin with?
OLga [1]
13-8= 5 comic books to begin with,
is that the problem?
3 0
3 years ago
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