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S_A_V [24]
3 years ago
9

What directed number is suggested by the statement "I gained 3 pounds "?​

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

The directed number suggested is +3.

Step-by-step explanation:

A directed number is one that has either a positive or negative sign, so that it could be easily located on the number line. Thus, the sign shows the direction of the number. Examples are: -2, -1, +5, +6 etc.

From the given question, let the initial weight be represented by W, then:

I gained 3 pounds implies at that; 3 pounds was added to my initial weight. Thus, my present weight is my initial weight + 3 pounds.

i.e I gained 3 pounds ⇒ W + 3

So that the directed number suggested by the statement is +3.

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Solve each system by elimination.
strojnjashka [21]

Answer:

y = -1, x = -2

Step-by-step explanation:

First, multiply the top equation by 2 to make 3x become 6x:

6x - 8y = -4

Second, multiply the bottom equation by 3 to make -2x become -6x:

9y - 6x = 3

Add the two equations together, and you get:

y = -1

Plug in y as -1 into the first or second equation:

3x - 4(-1) = -2

OR

3(-1) - 2x = 1

x = -2

5 0
3 years ago
You invest $1500 in a bank account that has a 3% annual interest rate, compounded continuously. How much will you have in 15 yea
Mandarinka [93]
We use the formula:
Total = Principal * e ^ (rate * years)
Total = 1,500 * e ^ (.03 * 15)
Total = 1,500 * e ^ .45
Total = 1,500 * <span> <span> <span> 1.5683121854 </span> </span> </span>
Total = <span> <span> <span> 2,352.47 </span> </span> </span>


8 0
3 years ago
Help me help me help me help me ​
Nitella [24]

Answer:

1. 4/12, 3/9, 2/6, 5/15

2. 4/8, 8/16, 6/12

3. 2/8, 4/16, 3/12

4. 6/8, 9/12, 4/16

Step-by-step explanation:

I'm assuming your question is about all 4 problems shown so I'll explain how to solve all of them.

1. The question is asking you to find an equivalent fraction to 1/3. The easiest way to do this is to reduce all of the options given.

To reduce fractions, first determine if the numerator and denominator share any factors. If they do, divide both terms by the shared factors until you no longer get whole numbers.

Step 1: reduce answer choices

6/16 = 3/8 (done by dividing both terms by 2)

4/10 = 2/5 (divide both by 2)

3/8 = 3/8 (fully reduced)

2/5 = 2/5 (fully reduced)

4/12 = 1/3 (divide both by 4)

5/10 = 1/2 (divide both by 5)

1/2 = 1/2 (fully reduced)

3/9 = 1/3 (divide both by 3)

2/6 = 1/3 (divide both by 2)

5/15 = 1/3 (divide both by 5)

3/8 = 3/8 (fully reduced)

3/4 = 3/4 (fully reduced)

2. This question is solved the same way as question 1.

Step 1: reduce answer choices

2/5 = 2/5

6/9 = 2/3

4/8 = 1/2

3/9 = 1/3

8/16 = 1/2

8/10 = 4/5

7/12 = 7/12

6/12 = 1/2

3. This question is solved the same way as questions 1 and 2.

Step 1: reduce answer choices

3/8 = 3/8

2/8 = 1/4

4/9 = 4/9

2/7 = 2/7

4/16 = 1/4

10/14 = 5/7

6/9 = 2/3

3/12 = 1/4

4. This question is solved the same way as questions 1, 2, and 3.

Step 1: reduce answer choices

6/8 = 3/4

4/9 = 4/9

4/6 = 2/3

9/12 = 3/4

10/12 = 5/6

6/9 = 2/3

12/16 = 3/4

7/9 =7/9

7 0
2 years ago
Write a two column proof for the following conjecture. Statements and reasons
bazaltina [42]
<span>Information is given(reasons are in the parenthesis) 

Angle A and angle B are supplementary. Angle B and Angle C are supplementary  (given)


DC is parallel to AB (consecutive interior angles are supplementary )
BC is parallel to AD (consecutive interior angles are supplementary)

ABCD is a parallelogram (definition of parallelogram, has to pairs of parallel sides)</span>
3 0
3 years ago
Find X <br><br> Simplify answer type exact number or use radicals as needed
satela [25.4K]
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a^2 + b^2 = c^2

a and b are the sides next to the right angle, and c is the hypotenuse (side not connected to right angle).

You first need to find the length of the dotted line before finding x. This is because to be able to use the above formula, you have to know the length of two out of three of the sides.

To solve the length of the dotted line, note that it also makes a triangle with the 5 unit line and the 5 √5 unit line. You can plug these numbers into the formula.
(5)^2+b^2=(5 √5)^2
25+b^2=125
b^2=100
b=10

Now that you know the length of the dotted line is 10 units, you can now solve for x

(20)^2+(10)^2=x^2
400+100=x^2
500=x^2
x= √500, which equals 22.361
5 0
3 years ago
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