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Hunter-Best [27]
3 years ago
5

Why is “3 meals a day” a unit rate?The unchanging value of the ratio between two proportional quantities is

Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

Please check the explanation.

Step-by-step explanation:

'3 meals a day' is a unit rate because there is a 1 in the denominator.

A unit ratio is a fraction between two dissimilar units with a denominator 1.

'3 meals a day' indicate that someone is eating 3 meals in one day.

i.e. unit rate = 3 meals / per day

Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.

The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.

For example,

we know that the equation

y=kx

where k is the constant of proportionality and 'y' and 'x' are two proportional quantities, directly proportional to each other.

Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.

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Simplify the product using the distributive property. (-4h +2)(3h +7)
Alekssandra [29.7K]

Answer:

  A.  -12h² - 22h + 14

Step-by-step explanation:

(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc

  = (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)

  = -12h² -28h +6h +14

  = -12h² -22h +14 . . . . . . . . collect terms

3 0
3 years ago
Use the net to compute the surface area of the three-dimensional figure.
Grace [21]

9514 1404 393

Answer:

  382 square units

Step-by-step explanation:

The central four rectangles down the middle of the net are 9 units wide, and alternate between 8 and 7 units high. Then the area of those four rectangles is ...

  9(8+7+8+7) = 270 . . . square units

The rectangles making up the two left and right "wings" of the net are 8 units high and 7 units wide, so have a total area of ...

  2×(8)(7) = 112 . . . square units

Then the area of the figure computed from the net is ...

  270 +112 = 382 . . . square units

__

<em>Additional comment</em>

You can reject the first two answer choices immediately, because they are odd. Each face will have an area that is the product of integers, so will be an integer. There are two faces of each size, so <em>the total area of this figure must be an even number</em>.

You may recognize that the dimensions are 8, 8+1, 8-1. Then the area is roughly that of a cube with dimensions of 8: 6×8² = 384. If you use these values (8, 8+1, 8-1) in the area formula, you find the area is actually 384-2 = 382. That area formula is A = 2(LW +H(L+W)).

3 0
3 years ago
Prove the identity (n-5)^2 - (6n-35)=(n-10)(n-6)
elena-14-01-66 [18.8K]

Answer:

(n-5)^2 - (6n-35)=(n-10)(n-6)

-----------

  • n²-10n+25-6n+35 =
  • n²-16+60 = n²- 10n - 6n + 60 =
  • n(n-10) - 6(n-10) =
  • (n-10)(n-6)
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3 years ago
You are making 2 cakes for your siblings. You want to make sure both cakes have the same
MrRissso [65]

Answer: GOOBLE GOBBLE

Step-by-step explanation: :P

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3 years ago
F(x) = 5x^3+ 2x^2 - 90x - 36. <br><br> finding all zeros by factoring and explaining the steps
ella [17]

Answer:

f(x)=5x^3-2x^2-90x-36=0

=x^2(5x-2)-18(5x-2)=(x^2-18)(5x-2)=0

x^2-18=0/5x-2=0

x^2=18=x=9√2

5x-2=0

x=2/5

zeros are 9√2,2/5

8 0
3 years ago
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