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3 years ago

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A tank is filling with water from a natural spring. Two days ago the water was ten feet deep, and yesterday the water was 12 fee

t deep. Assume that the water depth continues to rise at this same rate after today. How do I write the expression for this word problem?

1 answer:

Gennadij [26K]3 years ago

4 0

2d + 14 ( "d" is the number of days after today, and "14" comes from how many feet deep the water is today)

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The fastest race horse ran 1/4 mile in 1/3 of a minute. What was the horse's running speed?

bagirrra123 [75]

Answer:

3/4 miles per minute

Step-by-step explanation:

To get speed in miles per minute, just divide distance/time

1/4 mile / 1/3 minute = 3/4 miles per minute

If you want miles per hour, you'll have to convert minutes to hours.

3/4 miles/minute * 60 minutes/hour = 45 miles/hour

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3 years ago

Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11

Alexus [3.1K]

Answer: $\frac{-7\sqrt{2} }{4}$

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get $\sqrt{16}-x\sqrt{8} =11$ . We know that the square root of 16 is ±4, so now our equation is ±4 - $x\sqrt{8}$ =11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - $x\sqrt{8}$ =11. We can use inverse operations to make the a little easier to solve: -7= $x\sqrt{8}$ . We divide both sides by $\sqrt{8}$ to get $\frac{-7}{\sqrt{8} } =x$ , which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by $\frac{\sqrt{8} }{\sqrt{8} }$ (which is equal to one so we can use it) which is equal to $\frac{-7\sqrt{8} }{8}$ . Let's finish this by simplifying it. $\sqrt{8} =2\sqrt{2}$ (2x $2^{2}$ ). We can simplify it further by simplifying the 2, making it $\frac{-7\sqrt{2} }{4}$ .

Hope this wasn't too confusing! I'll answer any questions.

8 0

3 years ago

Read 2 more answers

The diameter of a circle measures 28 mm. What is the circumference of the circle?

Papessa [141]

Answer:

C = 87.92 mm

General Formulas and Concepts:

<u>Symbols</u>

π (pi) ≈ 3.14

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Geometry</u>

Circumference Formula: C = πd

<em>C</em> is circumference
<em>d</em> is diameter

Step-by-step explanation:

<u>Step 1: Define</u>

Diameter <em>d</em> = 28 mm

<u>Step 2: Solve</u>

Substitute in variables [Circumference Formula]: C = 3.14(28 mm)
[Circumference] Multiply: C = 87.92 mm

8 0

3 years ago

Use a net to find the surface area of the prism.

lawyer [7]

The surface area of the prism will be given by:
SA=2(L×W)+2(L×H)+2(H×W)
SA=2(12×5)+2(12×9)+2(5×9)
SA=120+216+90
SA=426m²

Answer: 426m²

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3 years ago

Equivalent to y-0.32y

larisa86 [58]

Y-0.32y if you factor you would see:

y(1-0.32)

y(0.68) so

0.68y or even 68y/100=17y/25 are equivalent....

3 0

3 years ago