Use the distributive property to write an equivalent expression. 6(s + 3t)

Hey!!! What is −6+(−12)

SSSSS [86.1K]

Answer:

-18

Step-by-step explanation:

Essentially the same as (-6) - 12

7 0

3 years ago

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A right triangle has a hypotenuse of 10 feet and a leg of 6 feet. What is the length of the other leg?

Artemon [7]

Answer:

The other length of the leg is 8 feet.

Step-by-step explanation:

To find the answer we have to find what 10 and 6 is squared. 10 x 10 = 100.

6 x 6 = 36. Now since we are trying to find the length of the other leg, we will subtract 100 from 36 and we get 64. Then for the last step, we will figure out what number squared equals 64. Because 8 x 8 = 64, 8 is our answer.

3 0

3 years ago

A jeweler wants to minimize business costs and has found that the average cost in dollars per necklace is given by C(x)=0.5x^2-7

Vika [28.1K]

Answer:

The maximum cost is 41 dollars per necklace.

Step-by-step explanation:

The average cost in dollars/necklace is given by :

$C(x)=0.5x^2-7x+65.5$ .....(1)

Where

x is the number of necklaces that are created

To maximize the cost, find the value of x by putting dC/dx = 0

$\dfrac{d}{dx}(0.5x^2-7x+65.5)=0\\\\x-7=0\\\\x=7$

Now put the value of x = 7 in equation (1).

$C(x)=0.5(7)^2-7(7)+65.5\\\\=41\ \text{dollars per necklace}$

Hence, the maximum cost is 41 dollars per necklace.

8 0

3 years ago

Find the value of (+328.62) – (+98.6). A. 230.02 B. 427.22 C. –427.22 D. –230.02

Jet001 [13]

Answer:

Option A - $(+328.62)-(+98.6)=230.02$

Step-by-step explanation:

We have given the expression $(+328.62)-(+98.6)$

We have to find the value of the expression ?

Solution :

Step 1 - Write the expression

$=(+328.62)-(+98.6)$

Step 2 - Applying symbol rule i.e. multiplication of positive into negative is always negative, $(-)(+)=(-)$

$=328.62-98.6$

Step 3 - Solve

$=230.02$

Therefore, The value of the expression is $(+328.62)-(+98.6)=230.02$

So, Option A is correct.

7 0

3 years ago

Let 2004-02-01-02-00_files/i0200000.jpg. If 2004-02-01-02-00_files/i0200001.jpg is a complement of 2004-02-01-02-00_files/i02000

Reika [66]

Answer: The answer is (C) 180°.

Step-by-step explanation: Given that m∠A = 40°. ∠B is a complement of ∠A and ∠C is a supplement of ∠B. We are to find m∠B + m∠C.

Since ∠B is a complement of ∠A, so we have

$m\angle A+m\angle B=90^\circ\\\\\Rightarrow m\angle B=90^\circ-m\angle A=90^\circ-40^\circ\\\\\Rightarrow m\angle B=50^\circ.$

Now, since ∠C is a supplement of ∠B, so we have

$m\angle B+m\angle C=180^\circ\\\\\Rightarrow m\angle C=180^\circ-m\angle B=180^\circ-50^\circ\\\\\Rightarrow m\angle C=130^\circ.$

Therefore,

$m\angle B+m\angle C=50^\circ+130^\circ=180^\circ.$

Thus, (C) is the correct answer.

7 0

3 years ago

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Use the distributive property to write an equivalent expression. 6(s + 3t)​

Use the distributive property to write an equivalent expression. 6(s + 3t)