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2 years ago

N + 9 >_ 13 (with the “_” under the “>”

Mathematics

2 answers:

Step2247 [10]2 years ago

8 0

Answer:

n >_ 4

Step-by-step explanation:

move 9 to the other side

n >_ 13 - 9

n >_ 4

Mariana [72]2 years ago

3 0

Answer:

$n\geq 4$

Step-by-step explanation:

$n+9 \geq 13\\\\n+9-9\geq 13-9\\\\n\geq 4$

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Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%

ivolga24 [154]

Answer:

a. The system of equations that models the situation is....

$0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40$

b. The solution to the system: x = 2 and y = 4

The amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is $x$ pounds and the amount of 50/50 mixture is $y$ pounds.

So, the amount of peanuts in 80/20 mixture $= 0.80x$ pound and the amount of almonds in 80/20 mixture $=0.20x$ pound.

And the amount of peanuts in 50/50 mixture $=0.50y$ pound and the amount of almonds in 50/50 mixture $=0.50y$ pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture $=(6\times 0.60)=3.60$ pounds

and the amount of almonds in that mixture $=(6 \times 0.40)= 2.40$ pounds.

So, the system of equations will be.........

$0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)$

Subtracting equation (2) from equation (1), we will get.....

$(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2$

Now, plugging this $x=2$ into equation (1), we will get......

$0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4$

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0

2 years ago

Plz help question below

Sphinxa [80]

The answer you are looking for is $70
hope that helps!!!

6 0

2 years ago

Read 2 more answers

Hometown Grocery, Inc. has 50 comma 000 shares of common stock outstanding and 4 comma 000 shares of preferred stock outstandin

Anit [1.1K]

Answer:

$0.36 per share

Step-by-step explanation:

The data provided in the question are as follows

Common stock outstanding = 50,000 shares

Preferred stock outstanding = 4,000 shares

Par value of common stock = $4

Interest rate and par value of preferred stock = 9% and $100

Total dividend payment declared = $54,000

So, the amount of dividend for each share of common stock is

= (Total dividend payment declared - Preferred stock outstanding × interest rate × par value) ÷ (common stock outstanding)

= ($54,000 - 4,000 × $100 × 9%) ÷ (50,000 shares)

= ($54,000 - $36,000) ÷ (50,000 shares)

= $18,000 ÷ 50,000 shares

= $0.36 per share

7 0

2 years ago

5(x+4)= -2(-4-x)+3 what is the answer?

lianna [129]

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

5(x + 4) = -2(-4 - x) + 3

Step 2: Solve for x

Distribute: 5x + 20 = 8 + 2x + 3
Combine like terms: 5x + 20 = 2x + 11
Subtract 2x on both sides: 3x + 20 = 11
Subtract 20 on both sides: 3x = -9
Divide 3 on both sides: x = -3

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
Add: 5(1) = -2(-1) + 3
Multiply: 5 = 2 + 3
Add: 5 = 5

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!

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2 years ago

Read 2 more answers

Part 2:

anastassius [24]

Answer:

Whats the question?

Step-by-step explanation:

5 0

2 years ago