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earnstyle [38]
3 years ago
13

The ratio of raisins to all M&M's in one bag of trail mix is 1:4. The ratio of peanut M&M's to plain M&M's is 2:3. I

f there are 20 raisins in the trail mix, how many plain M&M's are there?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

  48

Step-by-step explanation:

Multiplying the ratio of raisins to M&Ms by 20, we find there are a total of 80 M&Ms in the bag.

 raisins : M&Ms = 1 : 4 = 20 : 80

The ratio of peanut to plain M&Ms is 2 : 3, a total of 2+3 = 5 ratio units. These stand for a total of 80 M&Ms, so each ratio unit of M&Ms stands for 80/5 = 16 M&Ms. That is ...

  peanut : plain = 2 : 3 = 32 : 48

There are 48 plain M&Ms in the bag.

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about 70,000 people live in a circular region with a 30-mile radius. find the population density in people per square mile.
bezimeni [28]

Solve for the area of the circular region first:

A = pi*r^2

A = pi*(30 mi)^2

A = 2827.43 mi^2

Density = 70000 people/2827.43 mi^2

Density = 24.76 = 25 people/mi^2 <--ANSWER Plz vote brainnliest


4 0
3 years ago
Consider U = {x|x is a real number}. A = {x|x ∈ U and x + 2 &gt; 10} B = {x|x ∈ U and 2x &gt; 10} Which statements are true? 5 ∉
-Dominant- [34]

x+2 > 10 solves to x > 8 after we subtract 2 from both sides

So set A is the set of real numbers that are larger than 8. The value 8 itself is not in set A. The same can be said about 5 as well.


Set B is the set of values that are larger than 5 since 2x > 10 turns into x > 5 after dividing both sides by 2. The value x = 5 is not in set B since x > 5 would turn into 5 > 5 which is false. The values x = 6, x = 8, and x = 9 are in set B.


----------------


Summarizing everything, we can say...

5 is not in set A. True

5 is in set B. False

6 is in set A. False

6 is not in set B. False

8 is not in set A. True

8 is in set B. True

9 is in set A. True

9 is not in set B. False


5 0
3 years ago
Read 2 more answers
Which combination of integers can be used to generate the Pythagorean triple (7, 24, 25)
amm1812

Answer:

3

Step-by-step explanation:

7 0
3 years ago
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Sohan can do a piece of work in 10 days. He worked at it
Inessa05 [86]

Answer:

5 days

Step-by-step explanation:

Sohan can do the whole thing in 10 days

he worked 5 days so he did half

and Mohan did the other half in 5 days

so their speeds are same

so if they worked together they'd do it in half the time

i.e 5 days

6 0
3 years ago
Jennifer is saving money to buy a bike. The bike costs $246. She has $138 saved, and each week she adds $18 to her savings.
Brrunno [24]

Answer: 8 weeks

explanation: 125 + 15x = 245

You then have to subtract 125 from both sides so we can isolate our variable which will give us 15x = 120 . Divide 15 from both sides : 15x/15 = 120/15 which will give us x = 8.

6 0
3 years ago
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