All categories

3 years ago

If 4 more than 4 times a certain number is the same as 4 more than the product of 3 and 4, what is that number?

Mathematics

1 answer:

gtnhenbr [62]3 years ago

5 0

Answer: the number is 3

Step-by-step explanation:

Let the number be represented by x.

If 4 more than 4 times a certain number is the same as 4 more than the product of 3 and 4, it means that

4x + 4 = 4 + 3×4

4x + 4 = 4 + 12

4x + 4 = 16

Subtracting 4 from the left hand side and the right hand side of the equation, it becomes

4x + 4 - 4 = 16 - 4

4x = 12

Dividing the left hand side and the right hand side of the equation by 4, it becomes

x = 12/4 = 3

You might be interested in

If the racetrack publishes that the odds in favor of a horse winning a race are 5 to 9, what is probability that the horse will

crimeas [40]

I divided 5 by 9 and multiplied it by 100 to get the percentage for the probability the horse will win. I got 55.55%. I subtracted 55.55 from 100 and got 44.45% chance of not winning the race.

5 0

3 years ago

Read 2 more answers

Evaluate 2x - y + 4z, if x = 1, y = 2 and z = -1

lidiya [134]

2 x 1 - 2 + 4 x -1 =

the answer is -4.

5 0

3 years ago

Please help I need it

S_A_V [24]

Answer:

13/48

Step-by-step explanation:

I take the middle sign to be plus.\

3/4//4/5 = 3/4 * 5/4 = 15/16

15/16 - 2/3 =

The lowest common denominator would be 48: 16 and 3 are prime to each other.

45/48 - 32/48 = 13 / 48

Where did the minus come from? I take it that there is a minus sign in front of the 2

7 0

2 years ago

1. The measure of angle GHI is 120° Angle GHI is cut in half with ray HK, if angle

saveliy_v [14]

Answer:

The value of x = 4

Step-by-step explanation:

In this question, we are asked to calculate the value of the angle x

Here the ray cuts the angle into half.

Since the total of the angle was 120, half of this would be 120/2 = 60

Now, it is this value of 60, that our new angle equals to

Mathematically;

3x + 48 = 60

3x = 60-48

3x = 12

x = 12/3

x = 4

5 0

3 years ago

The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,750 per day. FSF supplies hot dogs to local restaurants a

NARA [144]

Answer:

A) 22812 hotdogs per run

B) 75 runs/yr

C) 4 days in a run

Step-by-step explanation:

We are given;

Production rate;p = 5750 per day

Steady Usage rate;u = 270 per day

Setup cost of hotdog;S = $67

Annual carrying cost (H) = 47 cents = $0.47 per hot dog

No. of Production days; d = 297 days

A) Let's first find the annual demand given by the formula;

Annual demand;D = pd

D = 5750 × 297

D = 1707750 hot dogs/yr

Now, formula for optimal run size is given by;

Q_o = √[(2DS/H) × (p/(p - u))]

Plugging in the relevant values gives;

Q_o = √[(2 × 1707750 × 67/0.47) × (5750/(5650 - 270))]

Q_o =√520375454.7971209

Q_o = 22812 hotdogs per run

B) formula for Number of runs per year is given as;

No. of Runs = D/Q₀

Thus;

no. of runs = 1707750/22812

no. of runs ≈ 75 runs/yr

C) Length of a run is given by the formula;

Length = Q₀/p

Length = 22812/5750

Length ≈ 4 days in a run

6 0

3 years ago