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3 years ago

Simplify.12-16/(-4) A.8 B.-1 C.16 D.1

1 answer:

8 0

We need to follow PEMDAS.

We need to do the division before we can do the subtract (which becomes into addition because of the signs).

12 - 16/-4

12 - (-4)

12 + 4

16

Your final answer is C. 16.

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What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFrac

anastassius [24]

Answer:

$x =-24$

Step-by-step explanation:

Given

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Required

Solve for x

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Open all brackets

$\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x + \frac{1}{2}*14 - 3$

$\frac{2 * 1}{3 *2}x + \frac{2 * 12}{3}= \frac{1 * 1}{2 * 3}x + \frac{1 * 14}{2} - 3$

$\frac{1}{3}x + \frac{24}{3}= \frac{1}{6}x + \frac{14}{2} - 3$

$\frac{1}{3}x +8= \frac{1}{6}x + 7 - 3$

Collect like terms

$\frac{1}{3}x - \frac{1}{6}x =7 - 3 -8$

$\frac{1}{3}x - \frac{1}{6}x =-4$

Solve fraction

$\frac{2-1}{6}x =-4$

$\frac{1}{6}x =-4$

Multiply both sides by 6

$6 * \frac{1}{6}x =-4 * 6$

$x =-4 * 6$

$x =-24$

8 0

2 years ago

Which table represents a linear function?

Delvig [45]

Answer:

I would go with the first one.

Step-by-step explanation:

The first one is the only one that increases by the same number. In other words, its slope is constant. A linear function has a constant slope. You can tell that it increases by 1/2 every time.

6 0

3 years ago

I just want to make sure: A baseball is traveling (+20 m/s) and is hit by a bat. It leaves the bat traveling (-30 m/s). What is

g100num [7]

Answer:

50m/s

Step-by-step explanation:

We assum the direction the baseball is travelling to the bat is the positive direction at 20 m/s and is hit in the opposite at a faster speed. The change in velocity is the final velocity minus the initial velocity:

$=20-(-30)=50$

The change in velocity is 50m/s

4 0

3 years ago

Maria needs to be at the airport terminal at 15:20. It will take

bogdanovich [222]

Answer:

12:30

Step-by-step explanation:

6 0

2 years ago

A collection of dimes and quarters is worth $10.45. There are 70 coins in all. Find how many of each there are

Advocard [28]

There are 47 dimes and 23 quarters.

Step-by-step explanation:

Total amount = $10.45 = 10.45*100 = 1045 cents

Total coins = 70

1 dime = 10 cents

1 quarter = 25 cents

Let,

Dimes = x

Quarters = y

According to given statement;

x+y=70 Eqn 1

10x+25y=1045 Eqn 2

Multiplying Eqn 1 by 10;

$10(x+y=70)\\10x+10y=700\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(10x+25y)-(10x+10y)=1045-700\\10x+25y-10x-10y=345\\15y=345$

Dividing both sides by 15;

$\frac{15y}{15}=\frac{345}{15}\\y=23$

Putting y=23 in Eqn 1

$x+23=70\\x=70-23\\x=47$

There are 47 dimes and 23 quarters.

Keywords: linear equations, subtraction

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6 0

2 years ago