Mike mowed 3 1/4 lawns and allen mowed 2 5/6 lawns. how many more lawns did allen mow?

Answers

Answer 1
Answer: Allen mowed -5/12 more.
Answer 2
Answer: 3 1/4 - 2 5/6 = 5/12

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What is the cross section created when a vertical slice is made perpendicular to the 2 bases of a triangular prism?A. a triangle B. ellipse trapezoid C. a square D. a rectangle
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How many grams of sodium chloride should be used in preparing 500 ml of a stock solution such that 50 ml?

Answers

Answer: 30 grams

Step-by-step explanation: (50 mL x x%) = (1000 mL x 0.3%)

x = 6%

6% x 500 mL = 30 grams

Final answer:

The calculation for the amount of sodium chloride (NaCl) in a solution depends on the desired concentration. For instance, to prepare 50 ml of a 1M solution, one would need 2.922 g of NaCl. For a 500 ml stock solution for the same, the measurement would be ten times this, or 29.22 g.

Explanation:

The question pertains to preparing a solution of sodium chloride N(aCl). The given information indicates that we have 5.30 mol NaCl L solution. To provide an accurate answer, it's necessary to know the targeted concentration for the 50 ml solution. However, lacking this data, we can consider an example where we want to prepare a 1M solution.

In such a case, using the concept of molarity (mol/L), we'd first establish how many moles of NaCl are needed. For a 1M solution, we'd need 1 mol of NaCl per liter of solution. Therefore, in order to prepare 50 ml (or 0.05 L), we require 0.05 mol of NaCl.

The given information also states that 1 mol of NaCl weighs 58.44 g. Therefore, we would need (0.05 mol) * (58.44 g/mol) = 2.922 g of NaCl for 50 ml of a 1M solution. Therefore, if preparing 500 ml of a stock solution, we would require 10 times this amount, or 29.22 g of NaCl.

This is a general guide as the specific quantity can vary based on the desired concentration of the 50 ml solution. For other concentrations, we would use the same method, simply adjusting the moles of NaCl needed as appropriate.

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Geometry HW! PLS HELP!


If UVW =~(congruent symbol) EFC, what is the measure of

Answers

The measure of angle FEC from the given triangle FCE is 51°. Therefore, option D is the correct answer.

Given that, ΔUVW≅ΔEFC.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

From the given triangle UVW, the measure of ∠U=51° and ∠W=82°.

We know that, the corresponding parts of congruent triangle are equal.

Here, ∠FCE=∠W=82°

∠FEC=∠U=51°

The measure of angle FEC from the given triangle FCE is 51°. Therefore, option D is the correct answer.

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Answer:

D. 51

Step-by-step explanation:

If UVW is congruent to EFC then FEC must be congruent to VUW

VUW= 51 so FEC= 51

What is the absolute value of -3?


3
- 1/3
-3
1/3

Answers

The absolute value of -3 is 3 and -3 so both would be right

The parallelogram shown below has an area of 35 units2.7
6
h
Find the missing height.
h
units

Answers

the height is 5 becuase if the area is 35 that means the length is 7 so you would divide and get 5

What is the answer to
-5/6+x/6=1/x

Answers

-5/6+x/6=1/x\Leftrightarrow x^2-5x-6=0

\Delta=25+24=7^2 hence the answer is (5\pm7)/(2)=\left\lbrace-1,6\right\rbrace
-(5)/(6)+(x)/(6)=(1)/(x)|\cdot6x\qquad(x \not=0)\n-5x+x^2=6\nx^2-5x-6=0\nx^2+x-6x-6=0\nx(x+1)-6(x+1)=0\n(x-6)(x+1)=0\nx=6 \vee x=-1

Part 1:For the following system of equations, write your own real world scenario that describes what is happening. Use complete sentences and correct grammar in your scenario.

Part 2:
Solve the system and explain what the results mean according to your scenario.

2x + y = 11
3x + 4y = 24
...?

Answers

Here are my answers to the given questions above:
Part 1. Here is my example of a real life scenario that describes what is happening. Let us say, I have 2 cookies and the bottle of milk costs 11 dollars, and 3 cookies and 4 bottles of milk cost 24 dollars.
Part 2. 
y=11-2x
3x+4(11-2x)=24
3x+44-8x=24
-5x=-20
x=4
y=11-8
y=3
Therefore, each cookie costs 4 dollars, and a bottle of milk costs 3 dollars.
Hope this answer helps. Let me know if you need more help next time.