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Andre45 [30]
3 years ago
5

Carmine mixes 2.8 pounds of cashews with almonds to make a trail mix. He divides the trail mix into 5 equal portions. Each porti

on weighs 1.5 pounds. Which equation and solution shows the total amount of almonds he used in the mixture? One-fifth (2.8 + a) = 1.5 (5); a = 34.7 pounds of almonds One-fifth (2.8 + a) = 1.5; a = 4.7 pounds of almonds One-fifth (2.8 + a) = 1.5 (5); a = 4.7 pounds of almonds One-fifth (2.8 + a) = 1.5; a = 34.7 pounds of almonds
Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer:

I think its choice C

Step-by-step explanation:

Because it makes more sense to me

5 * 1.5 to get 7.5, which is total pounds

7.5 - 2.8 to get how many almonds

= 4.7

Choice C makes the most sense to get that answer

i'm only in 5th grade so tell me if i'm wrong ill be ok with that

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Note that the ratio 12 to 3 is said to be equivalent to the ratio 4 to 1, that is 12:3 = 4:1.

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3 years ago
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What are the zeros of 3x²(x+π)³(x-4)²
Aneli [31]
Hi again!

The zeros are the values of x. This is where the graph intersects the x - axis. In order to find the zeros, replace y with 0 and solve for x.

The answer is x = 0, -π, 4

I am not sure what grade are you or the level, but for me, they sometimes asked me to find their multiplicities as well

The multiplicity of a root is the number of times the root appears.

So, the answer are
x = 0 and the multiplicity of 2
x = -π and the multiplicity of 3
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Good luck with your studies!

5 0
2 years ago
Factor out the GCF: 16x + 48​
valentinak56 [21]

Answer: 16(x + 3)

Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.

So what is the greatest common factor of 16x and 48?

The greatest common factor of 16x and 48 is 16 because

it's the largest number that divides evenly into 16 and 48.

The x does not qualify because it must appear in every term

to qualify for the GCF but here, it only appears in one term.

So a 16 factors out leaving us with each term divided by it

inside a set of parentheses so w eget 16(x + 3).

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7 0
3 years ago
Bernice estimated that 69% of 242 is 168. Is her estimate reasonable?
ycow [4]
Her estimate is not reasonable.

Since she estimated 69%, you could do either of these options. You could...
A. Divide 242 (or .5) to show how much half off would be, then compare her estimate with half of 242 (121). OR...
B. Simply divide 242 by 69% (.69) and compaor her estimate to the exact amount (166.98).

I hope this helps!
6 0
3 years ago
The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu
amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0
3 years ago
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