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3 years ago

3. If 4 is subtracted from twice a number the result is 10 less than the number

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

2x - 4 = 10

Add 4 to both sides.

2x = 14

Divide both sides by 2.

x = 7

3(x/2) = x/4

Distributive property.

3x/2 = x/4

Convert denominators to a common number.

6x/4 = x/4

Multiply both sides by 4.

6x = x

Subtract x from both sides.

5x = 0

Divide both sides by 5.

x = 0

This equation is equal to 0.

3(n + 2) = n - 5

Distributive property.

3n + 6 = n - 5

Subtract n from both sides.

2n + 6 = -5

Subtract 6 from both sides.

2n = -11

Divide both sides by 2.

n = -5.5

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Answer:

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Step-by-step explanation:

a) Data:

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3 years ago

= 118

oee [108]

Answer:

number of $20 bill = 4

Number of $5 bill = 5

Step-by-step explanation:

Given that:

Total number of $5 and $20 bills = 9

Let :

Number of $5 bills = x

Number of $20 bills = y

Combined worth of all bills = $105

x + y = 9 - - - (1)

5x + 20y = 105 - - - (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

5(9 - y) + 20y = 105

45 - 5y + 20y = 105

15y = 105 - 45

15y = 60

y = 60/15

y = 4

x = 9 - y

x = 9 - 4 = 5

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number of $20 bill = 4

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Answer:

Step-by-step explanation:

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A cell tower has the hieght of 70 meters. The Tower casts a shadow of 45 meters on the ground. What is the angle of elevation of

laiz [17]

Answer:

$\theta=0.99^{\circ}$

Step-by-step explanation:

Given that,

The height of a cell tower, P = 70 m

The tower casts a shadow of 45 meters on the ground.

We need to find the angle of elevation of the shadow to the top of the cell tower. We can use trigonometry to find it.

$\tan\theta=\dfrac{P}{B}$

Put all the values,

$\tan\theta=\dfrac{70}{45}\\\\\theta=\tan^{-1}\left(\frac{70}{45}\right)\\\\\theta=0.99^{\circ}$

Hence, the angle of elevation is equal to $0.99^{\circ}$ .

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