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3 years ago

Mark buys $65 worth of of building supplies. He uses a 25% off coupon. What will be the new price?

Mathematics

2 answers:

ss7ja [257]3 years ago

5 0

Answer:

Step-by-step explanation:

65(1-25/100)

65(75/100)

65(.75)

$48.75

faust18 [17]3 years ago

4 0

Answer is $48.75. Since 25% is only the coupon, you could make it easier by multiplying 75% or .75.

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The growth of an apple tree was measured. The tree grew 15 inches per year.

pogonyaev

Answer:

1.04 mill

Step-by-step explanation:

15 inches to mill = 381

$365\sqrt{381}$ = 1.04 ( rounded )

8 0

3 years ago

Simplify the surd 3√ 20 +√ 45

melisa1 [442]

Answer:

9 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$

= 2 $\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$

= 3 $\sqrt{5}$

Then

3 $\sqrt{20}$ + $\sqrt{45}$

= 3(2 $\sqrt{5}$ ) + 3 $\sqrt{5}$

= 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 9 $\sqrt{5}$

3 0

3 years ago

Read 2 more answers

A physician orders 140mg of a medication to give orally. You have 125mg/5mL on hand. What is the correct dose of medication to g

adelina 88 [10]

<h2>Hello!</h2>

The answer is: The correct dose of medication to give is 5.6 mL

To solve this problem we need to establish a relationship between the prescripted medication and the available solution.

Let's write the needed equations to establish the relantionship:

$\frac{125mg}{5mL}=1\\\\125mg=5mL$

The available solution means 125 mg each 5 mL of solution, so:

$\frac{125mg}{5mL}=\frac{140mg}{x}\\\\x*\frac{125mg}{5mL}=140mg\\\\x=140mg*\frac{5ml}{125mg}=\frac{700mg*mL}{125mg}=5.6mL$

Hence, the correct dose of medication to give is 5.6 mL of the 125 mg/5mL solution.

Have a nice day!

3 0

3 years ago

Find an equation of the plane orthogonal to the line

jolli1 [7]

The given line is orthogonal to the plane you want to find, so the tangent vector of this line can be used as the normal vector for the plane.

The tangent vector for the line is

d/dt (⟨0, 9, 6⟩ + ⟨7, -7, -6⟩t ) = ⟨7, -7, -6⟩

Then the plane that passes through the origin with this as its normal vector has equation

⟨x, y, z⟩ • ⟨7, -7, -6⟩ = 0

We want the plane to pass through the point (9, 6, 0), so we just translate every vector pointing to the plane itself by adding ⟨9, 6, 0⟩,

(⟨x, y, z⟩ - ⟨9, 6, 0⟩) • ⟨7, -7, -6⟩ = 0

Simplifying this expression and writing it standard form gives

⟨x - 9, y - 6, z⟩ • ⟨7, -7, -6⟩ = 0

7 (x - 9) - 7 (y - 6) - 6z = 0

7x - 63 - 7y + 42 - 6z = 0

7x - 7y - 6z = 21

so that

a = 7, b = -7, c = -6, and d = 21

4 0

3 years ago

7! What does this mean?

7nadin3 [17]

Answer:

5040

Step-by-step explanation:

= 1 × 2 × 3 × 4 × 5 × 6 × 7

= 5040

5 0

3 years ago