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3 years ago

1/6 + -2/3 = ? I’ll give best review

Mathematics

1 answer:

Mice21 [21]3 years ago

3 0

1/6 + -2/3=
1/6- 2/3 | get 2/3 to be over 6 (3 goes into 6 twice so we multiply 2 by 2)
1/6- 4/6
=-3/6
=-1/2

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Rewrite (2x + 8) + 4 using the associative property. Then simplify.

skelet666 [1.2K]

Answer:

2x + 12

Step-by-step explanation:

Example of Associative Property Addition:

a + (b+c) = b + (a+c)

Now, implement it to the given expression:

(2x+8) + 4 = 2x + (8+4)

That simplifies to:

2x + 12

4 0

3 years ago

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Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. Whic

Salsk061 [2.6K]

Answer:

Not possible scores: 6, 15, 23, 31 and 58.

Step-by-step explanation:

We have been given that Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. We are asked to choose the total scores that can be quickly identified as "not possible".

Given scores: 38, 23, 58, 30, 42, 31, 26, 6, 14, or 15.

Since the maximum score is 10 and number of hits are 5, therefore, the maximum score can be hitting 10 each of the 5 times.

$10\times 5=50$

Since the maximum score is 50, therefore, 58 is an impossible score.

Since the minimum score is 2 and number of hits are 5, therefore, the minimum score can be hitting 2 each of the 5 times.

$2\times 5=10$

Since the minimum score is 10, therefore, 6 is an impossible score.

Since all scores on board are even, so the sum of 5 hits must be even, therefore, odd numbers like 15, 23, 31 are not possible scores.

5 0

3 years ago

Solve this equation by completing the square: x2 + 4x – 13 = –8

marishachu [46]

Answer:

x = 1 or x = -5

Step-by-step explanation:

We are given;

The quadratic equation, x² + 4x - 13 = -8

We are required to solve the equation using the completing square method.

To do this, we use the following steps;

Step 1: We make sure the coefficient of x² is one

x² + 4x - 13 = -8

Step 2: Combine the like terms (take the constant term to the other side)

x² + 4x - 13 = -8

x² + 4x = -8 + 13

we get

x² + 4x = 5

Step 3: We add the square of half the coefficient of x on both sides of the equation

Coefficient of x = 4

Half of coefficient of x = 2

Square of half the coefficient of x = 2² (4)

We get;

x² + 4x + (2²) = 5 + (2²)

Step 4: Put x and 2 under one square and the solve the other side of the equation.

We get

(x + 2)² = 5 + 4

(x + 2)² = 9

Step 5: Get the square root on both sides of the equation;

(x + 2)² = 9

√(x + 2)² = ±√9

(x + 2)= ±3

Therefore;

x+2 = + 3 or x + 2 = -3

Thus, x = 1 or -5

The solution of the equation is x = 1 or x = -5

6 0

3 years ago

Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and

asambeis [7]

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27 = 18 gallons

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3 years ago

Find the standard deviation set below.Round to nearest tenth. 7,1,3,4,7

Yakvenalex [24]

Answer:

10,0,0,0,10

Step-by-step explanation:

7 0

3 years ago

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