3 years ago

Which of the following are rational numbers? (select all that apply)

Mathematics

1 answer:

Bumek [7]3 years ago

3 0

The following that are rational numbers are 1.23 and -0.56

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Ashley brought 7/8 gallon of lemonade to the party. her friends 2/3 drink of it. how many gallons of lemonade did they drink?

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Her friends drink 5/24 gallons of lemonade. (I hope I'm right)

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3 years ago

If the measure of DAC is x and the measure of CAB is (2x – 30), what is the value of x? (HINT** remember how we label angles, th

Scorpion4ik [409]

Answer:

Step-by-step explanation:

∠ BAD = 90° and

∠ DAC + ∠ CAB = ∠ BAD, that is

x + 2x - 30 = 90

3x - 30 = 90 ( add 30 to both sides )

3x = 120 ( divide both sides by 3 )

x = 40 → b

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3 years ago

2% of the ducks in a pond have a fluffy tail. If 4 ducks have a fluffy tail, how many ducks are in the pond. Please answer best

GuDViN [60]

Answer:

200 ducks total in the pond

Step-by-step explanation:

2% of x equals 4

0.02x = 4

x = 200

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3 years ago

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

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3 years ago

What value should go in the empty box to complete the calculation for finding the product of 62.834 × 0.45? A)2,213,360 B)2,313,

Aleonysh [2.5K]

Answer:

28.27530

Step-by-step explanation:

Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction

62.834 = 62834/1000

0.45 = 45/100

Take the product if the resulting fraction:

62.834 × 0.45 = 62834/1000 × 45/100

= (62834×45)/1000×100

= 2,827,530/100,000

= 28.27530

7 0

3 years ago