21.11.2022

What is the value of the expression 3 / (1/14) ?

. 8

Step-by-step answer

31.01.2022, solved by verified expert
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Formula: a/b ÷ c/d = ad/bc

3/(1/14) = 3/1 ÷ 1/14 

= 3×14/1×1

= 42/1

= 42

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Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

(-8) * 3 = -24.

5 * (-2) = -10.

2 * (-1) * 14 = -28.

Mathematics
Step-by-step answer
P Answered by PhD
14 -495 2197

Step-by-step explanation:

1.  ((1+5)\cdot 2-5)\cdot 2=(6\cdot 2-5)\cdot 2=(12-5)\cdot 2=7\cdot 2=14

__

2.  12-3(12+1)^2=12-3\cdot 13^2=12-3\cdot 169=12-507=-495

__

3.  13(1-14)^2=13(-13)^2=13\cdot 169=2197

Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

(-8) * 3 = -24.

5 * (-2) = -10.

2 * (-1) * 14 = -28.

Mathematics
Step-by-step answer
P Answered by PhD
14 -495 2197

Step-by-step explanation:

1.  ((1+5)\cdot 2-5)\cdot 2=(6\cdot 2-5)\cdot 2=(12-5)\cdot 2=7\cdot 2=14

__

2.  12-3(12+1)^2=12-3\cdot 13^2=12-3\cdot 169=12-507=-495

__

3.  13(1-14)^2=13(-13)^2=13\cdot 169=2197

Mathematics
Step-by-step answer
P Answered by PhD

A: 7 + 3 (negative 4) (2)

Step-by-step explanation:

Just as a rule of thumb, whenever you multiply or divide one negative number and one positive number, the outcome is always negative. However, whenever you multiply or divide two negative numbers OR two positive numbers, the outcome is always positive.

Now, let's first convert all these words into simple mathematical expressions and then solve them:

A) "7 + 3 (negative 4) (2)" = 7 + 3 * (-4) * 2 = 7 + (-24) = -17

B) "Negative 2 Left-bracket 12 divided by (negative 3) Right-bracket" =

-2 * [12/(-3)] = -2 * (-4) = 8

C) "(15 minus 7) minus (9 divided by 3)" = (15 - 7) - (9/3) = 8 - 3 = 5

D) "Negative 5 Left-bracket 7 + (negative 14) Right-bracket minus 30" =

-5 * [7 + (-14)] - 30 = -5 * (-7) - 30 = 35 - 30 = 5

The only expression that produces a negative value is the first one, A.

Hope this helps!

Mathematics
Step-by-step answer
P Answered by PhD

A: 7 + 3 (negative 4) (2)

Step-by-step explanation:

Just as a rule of thumb, whenever you multiply or divide one negative number and one positive number, the outcome is always negative. However, whenever you multiply or divide two negative numbers OR two positive numbers, the outcome is always positive.

Now, let's first convert all these words into simple mathematical expressions and then solve them:

A) "7 + 3 (negative 4) (2)" = 7 + 3 * (-4) * 2 = 7 + (-24) = -17

B) "Negative 2 Left-bracket 12 divided by (negative 3) Right-bracket" =

-2 * [12/(-3)] = -2 * (-4) = 8

C) "(15 minus 7) minus (9 divided by 3)" = (15 - 7) - (9/3) = 8 - 3 = 5

D) "Negative 5 Left-bracket 7 + (negative 14) Right-bracket minus 30" =

-5 * [7 + (-14)] - 30 = -5 * (-7) - 30 = 35 - 30 = 5

The only expression that produces a negative value is the first one, A.

Hope this helps!

Mathematics
Step-by-step answer
P Answered by Master

the first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42

question 3

80 + 65x ≤ 425

Step-by-step explanation:

First of all we know that the 425 must be greater than or equal to the other side, so the symbol to show that would be ≤. We also know that the forklift is a fixed price by the words 'each day'. And the to hire a single crew member would be $65 unless there are more crew workers, which would be multiplied with the 65.

question 4

Jimthompson5910Expert

Part A

Yes y is a function of x. Specifically the equation is y = x^5

For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1

Notice how if x = -1 then y = x^5 = (-1)^5 = -1

Notice how if x = -2 then y = x^5 = (-2)^5 = -32

Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,

x^5 = x*x*x*x*x

there are five copies of x multiplied

A more specific example

3^5 = 3*3*3*3*3

there are five copies of '3' multiplied

Part B

All we do is replace x with 4 and use PEMDAS to simplify

f(x) = 2x+12

f(4) = 2(4)+12

f(4) = 8+12

f(4) = 20

The value of f(4) is 20

What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20. 

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up

The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12

In total, variableCost+fixedCost = 8+12 = 20 = totalCost

Mathematics
Step-by-step answer
P Answered by Master

the first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42

question 3

80 + 65x ≤ 425

Step-by-step explanation:

First of all we know that the 425 must be greater than or equal to the other side, so the symbol to show that would be ≤. We also know that the forklift is a fixed price by the words 'each day'. And the to hire a single crew member would be $65 unless there are more crew workers, which would be multiplied with the 65.

question 4

Jimthompson5910Expert

Part A

Yes y is a function of x. Specifically the equation is y = x^5

For any given input, there is exactly one output

Notice how if x = 1 then y = x^5 = (1)^5 = 1

Notice how if x = -1 then y = x^5 = (-1)^5 = -1

Notice how if x = -2 then y = x^5 = (-2)^5 = -32

Notice how if x = 2 then y = x^5 = (2)^5 = 32

In general,

x^5 = x*x*x*x*x

there are five copies of x multiplied

A more specific example

3^5 = 3*3*3*3*3

there are five copies of '3' multiplied

Part B

All we do is replace x with 4 and use PEMDAS to simplify

f(x) = 2x+12

f(4) = 2(4)+12

f(4) = 8+12

f(4) = 20

The value of f(4) is 20

What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20. 

The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up

The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12

In total, variableCost+fixedCost = 8+12 = 20 = totalCost

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