A box of cashews, peanuts, and almonds contains 144 nuts. For every 2 cashews, there are 3 peanuts and 7 almonds. How many more peanuts are there than cashews?

Answers

Answer 1
Answer: To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag...

Total nuts=144

The ratio of cashews to peanuts to almonds can be shown as:

cashews:peanuts:almonds
2:3:7

Now lets add up the numbers in the ratio.

2+3+7=12

So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds. 

Now lets divide the total number of nuts (144) by the sum of the ratio (12).

144/12=12

Now we can solve for the number of every type of nut in the bag... 

Cashews=12*2=24nuts

Peanuts=12*3=36nuts

Almonds=12*7=84nuts

Now we can answer the problem:

Peanuts-cashews=
36-24=12 nuts

Answer: There are 12 more peanuts than cashews.
Answer 2
Answer:

4x + 3x + 5x= 156

12x= 156

x= 13

4x = 4 times 13= 52 Cashews

3x= 3 times 13= 39 Peanuts

52-32= 13


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What is the ratio 9 1/2 to 12 2/3

Answers

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A triangle has a height of 18 centimeters and a base of 3.5 centimeters. What is the area of the triangle?

Answers

Answer:

31.5 cm^2

Step-by-step explanation:

The formula for the area of a triangle is 1/2 x (b x h)

in the provided question -

b = 3.5 cm

h = 18cm

thus the area of the triangle will be -

1/2 x (3.5 x 18)

= 1/2 x 63

= 31.5 cm^2

What is the slope of the graph of 4x-16y=15

Answers

4x-16y=15\ \ \ /-4x\n\n-16y=-4x+15\ \ \ \ /:(-16)\n\ny=(-4)/(-16)x+(15)/(-16)\n\ny=(1)/(4)x-(15)/(16)\n\n\n\nthe\ slope\ is\ (1)/(4)

Can some one tell me what the answer is.

Answers

Answer:

B

Step-by-step explanation:

We know that all of the ages are 7 apart so we don't need to mess with that.

Since Ed's age is 3/2 times Ted's age, we can make an equation.

Ted = t

Ed = e

e = 3/2t

Now we can just substitute and see if it checks out.

21 = 1.5 * 14

And since they are equal B is the answer.

Which congruence theorems prove tht MNP and QRS are be congruent?
Word Bank:
AAS theorem, ASA postulate, SAS postulate,
SSS postulate, HA, AA, HL, LA, LL, HH

Answers

Answer

AAS

Step-by-step explanation:

Why are SI units helpful for describing objects? A.
SI units make more sense than English units.





B.
SI units are standardized and understood globally.





C.
SI units are understood to be a sign of scientific accuracy.





D.
SI units are more reliable

Answers

the answer is C they are more accurate