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bogdanovich [222]
3 years ago
8

Jenny had a snack mix. For every 2 chocolate chips, there are 6 peanuts. If there are 108 peanuts in the mix,how many chocolate

chips are in the mix
Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
Use proportions. 

2 chocolate chips : 6 peanuts =     ?   chocolate chips : 108 peanuts

Find the scale factor of the information that matches. In this case it would be 108 peanuts divided by 6 peanuts. Then use this scale factor to multiply 2 chocolate chips by to get your answer.

SF: 108 <span>÷ 6 = 18

18 x 2 = 36 chocolate chips

2 chocolate chips : 6 peanuts =  36 chocolate chips : 108 peanuts

ANSWER: If there are 108 peanuts in the mix, there will be 36 chocolate chips in the mix.</span>
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Express 3080 as a product of prime factors
n200080 [17]
Prime Factors of 3080 =2, 2, 2, 5, 7, 11

Which is the same as = 23 x 5 x 7 x 11

Prime Factors Tree of 3080

3080
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2 1540
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4 0
3 years ago
How many ways are there to select a 5-card hand from a regular deck such that the hand contains at least one card from each suit
Snezhnost [94]

Answer:

There are 685464 ways of selecting the 5-card hand

Step-by-step explanation:

Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.

In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have {13 \choose 2} = 78 possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.

This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.

6 0
3 years ago
Please help! Find the missing
Veronika [31]

Answer:

x = 13

Step-by-step explanation:

Here, we want to get the missing side

from what we have, the triangle is a right angled triangle

In this kind of triangle, the Pythagoras’ theorem works

The square of the side facing the right angle ( marked x here) is equal to the sum of the squares of the two other sides

We have this as;

x^2 = 5^2 + 12^2

x^2 = 25 + 144

x^2 = 169

x = √169

x = 13

7 0
3 years ago
What is the product of 7/16,4/3,1/2<br> I don't know how to do it I need help please
Elza [17]
Hi , 7/16 times 4/3 times 1/2 equals to 28/96 because 7times4 times 1 equals to 28 and 16 times 3 times 2 equals to (28/96).The answer is also equivalent to 7/24.
5 0
3 years ago
Read 2 more answers
Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the len
Norma-Jean [14]

Answer:

Correct choice is A

Step-by-step explanation:

Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).

Find the length and the width:

AC=\sqrt{(-1-(-1))^2+(5-1)^2}=4\ units,\\ \\AD=\sqrt{(2-(-1))^2+(5-5)^2}=3\ units.

Then the length is 1 unit longer than the width.

7 0
3 years ago
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