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zhannawk [14.2K]
3 years ago
8

What is -6n - (3n - 9) + 5n = -4 (2n - 8)

Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0
-6n - (3n - 9) + 5n = -4(2n - 8)
Simplify both sides and solve for n

Simplified version:
-4n + 9 = -8n + 32

n = 23/4
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What is the length of the hypoyenuse of a right triangle if each of the two legs is 4 units?
frosja888 [35]
5.65685 should work
4 0
3 years ago
Pls guys help me pls :c​
Vinil7 [7]

Answer: A. x\geq21\dfrac{2}{3} .

Step-by-step explanation:

The given inequation: 81-1\dfrac{1}{5}x\leq55

\Rightarrow\ 81-\dfrac{6}{5}x\leq55

Multiplying 5 on both the sides, we get

5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}

Hence, the inequality for x is x\geq21\dfrac{2}{3} .

So, the correct option is A. x\geq21\dfrac{2}{3} ..

8 0
3 years ago
The produce manager at a market orders 10 lb of​ tomatoes, 20 lb of​ zucchini, and 40 lb of onions from a local farmer one week.
rewona [7]

Answer:

(A) A=\left[\begin{array}{ccc}10&20&40\end{array}\right]

(B) B=\left[\begin{array}{ccc}11&22&44\end{array}\right]

(C) A+B=\left[\begin{array}{ccc}21&42&84\end{array}\right]

Step-by-step explanation:

The manager ordered 10 lb of​ tomatoes, 20 lb of​ zucchini, and 40 lb of onions from a local farmer one week.

(A)

Matrix <em>A</em> represents the amount of each item ordered. ​It is 1 × 3 matrix.

Then matrix <em>A</em> is:

A=\left[\begin{array}{ccc}10&20&40\end{array}\right]

(B)

Next week the manager increases the order of all the products by 10%.

Then the amount of new orders are:

Tomatoes =10\times [1+\frac{10}{100}]=10\times1.10=11

Zucchini =20\times [1+\frac{10}{100}]=20\times1.10=22

Onions =40\times [1+\frac{10}{100}]=40\times1.10=44

Th matrix <em>B</em> represents the amount of each order for the next week. Then matrix <em>B</em> is:

B=\left[\begin{array}{ccc}11&22&44\end{array}\right]

(C)

Add the two matrix <em>A</em> and <em>B</em> as follows:

A+B=\left[\begin{array}{ccc}10&20&40\end{array}\right]+\left[\begin{array}{ccc}11&22&44\end{array}\right]\\=\left[\begin{array}{ccc}(10+11)&(20+22)&(40+44)\end{array}\right]\\=\left[\begin{array}{ccc}21&42&84\end{array}\right]

The entries of the matrix (<em>A</em> + <em>B</em>) represent the amount of tomatoes, zucchini and onions ordered for two weeks.

5 0
3 years ago
The population of Town A increases by 5% every year. Its current population is 700,000. Town B, which currently has 550,000 resi
gladu [14]

Answer:

1,260

Step-by-step explanation:


5 0
3 years ago
Can someone help me
Naddika [18.5K]

Answer:

Step-by-step explanation:

Hey, this question concerns the inscribed angle theorem.

The formula for this is:

∠ABC = 2*∠ADC

∴ ∠ABC = 40°

For proof, look up 'inscribed angle theorem (or central angle theorem)' on YT.

8 0
3 years ago
Read 2 more answers
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