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777dan777 [17]
3 years ago
11

How does 5x + 15 = 45 HELP PLZ

Mathematics
2 answers:
likoan [24]3 years ago
6 0

Answer:

When finding these problems we always have to do the opposite of the operation shown.

In this case its:

5x + 15 = 45

Subtract 15 from both sides (we start off with constants and numbers that are being shown) The reason why its subtraction is because since your adding 15 to 5x the opposite of that is subtraction so use the number shown by itself and subtract it from both sides.

5x = 30

Divide by 5 on both sides since the opposite of 5x is division (only use the number that is shown) We have to get rid of all the numbers on the left.

therefore you'll be left with:

X = 6

adelina 88 [10]3 years ago
3 0

Answer:

X=6

Step-by-step explanation:

5x+15=45

5x=45-15

5x=30,divide both sides by 5 to get x

x=6

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aksik [14]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
The quality-control department of Starr Communications, the manufacturer of video-game cartridges, has determined from records t
notsponge [240]

Answer: (A) The probability that a cartridge purchased will have a video or audio defect is 1.9%

(B) The probability that a cartridge purchased will not have a video or audio defect is zero.

Step-by-step explanation: The data given shows that 1.2% (or 120) cartridges have video defects, 0.9% have audio defects (or 90) and 0.2% (or 20) have both audio and video defects.

The possible outcomes for all events (audio defects and video defects) is derived as 120 plus 90 which is equals 210 possibilities (or possible outcomes).

Therefore the probability of having an audio defect is calculated as follows;

P(Audio) = Number of required outcomes/Number of all possible outcomes

P(Audio) = 90/210

P(Audio) = 3/7

Also the probability of having a video defect is derived as follows;

P(Video) = Number of required outcomes/Number of all possible outcomes

P(Video) = 120/210

P(Video) = 4/7

However we should take note of the fact that 0.2% or 20 of the cartridges in the sample size has both audio and video defects. Hence the probability that a cartridge has both audio and video defects is calculated as;

P(Audio and Video) = Number of required outcomes/Number of all possible outcomes

P(Audio and Video) = 20/210

P(Audio and Video) = 2/21

To calculate the probability that a cartridge bought would have either an audio or a video defect would mean to add both probabilities together, but we MUST SUBTRACT the probability of having both an audio defect and video defect (that is P{Audio and Video}). The reason is that this is already included in both probabilities and we need to avoid double counting. Hence we have;

(A); P(Video OR Audio defect) = P(Audio) + P(Video) - P(Audio and Video)

P(Video OR Audio defect) = (3/7 + 4/7) - 2/21

P(Video OR Audio defect) = 1 - 2/21

P((Video OR Audio defect) = 19/21

Therefore the probability that a cartridge purchased will have a video or audio defect is 190, or better still 1.9%.

(B): From all possibilities shown, which is 210 possibilities of either events, we have determined that 120 will be the probability of having an audio defect and 90 will be the probability of having a video defect. Therefore the probability that a cartridge purchased will not fall into any of either possibilities is zero.

6 0
3 years ago
Rationalize 1 plus root 2 divided by 1 minus root 2
yulyashka [42]
The rationalized form of 1+ √2/1-√2 is -2√2-3

6 0
3 years ago
Do Now 60: What are the formulas to find area for a square, triangle, rectangle, parallelogram, trapezoid, circle, ellipse and e
Alexandra [31]

Answer:

Area of a square = Length × Length

Area of a triangle = 1/2 base × height

Area of a rectangle = Length × breadth

Area of a parallelogram = base × height

Area of a trapezoid = 1/2 × sum of parallel sides × height

Area of circle = π × square of the radius

Area of ellipse = π × product of major and minor radii

Area of equilateral triangle = 1/2 base × height

Step-by-step explanation:

The area of a square is calculated by multiplying the length by itself.

The area of a triangle is calculated by multiplying half the base of the triangle by its height

The area of a rectangle is found by multiplying the length of the rectangle by its breadth

The area of a parallelogram is calculated by multiplying the base of the parallelogram by its height

The area of a trapezoid is found by multiplying half the sum of the two parallel sides by its height

The area of a circle is calculated by multiplying pi by the square of the radius of the circle

The area of an ellipse is found by multiplying pi by the product of the major and minor radii of the ellipse

The area of an equilateral triangle is calculated by multiplying half the base of the triangle by its height. The height is calculated using Pythagoras theorem

5 0
3 years ago
Solve the Law of Cosine: c^2 = a^2+ b^2 - 2abcosC for cos C.
Andrew [12]

Answer:

The Law of Cosine :  cos C = \frac{a^{2}+ b^{2}-c^{2}}{2ab}

Step-by-step explanation:

See the figure to understand the proof :

Let A Triangle ABC with sides a,b,c,

Draw a perpendicular on base AC of height H meet at point D

Divide base length b as AD = x -b   and    CD = x

By Pythagoras Theorem

In Triangle BDC             And     In Triangle BDA

a² = h² + x²     (  1  )                        c² = h² + (x-b)²

                                                      c² = h² + x² + b² - 2xb   ...(. 2)

From above eq 1 and 2

c² = (a² - x²) + x² + b² - 2xb

or, c² = a² + b² - 2xb                    .....(3)

Again in ΔBDC

cos C = \frac{BD}{BC}

Or, cos C = \frac{x}{a}

∴ x= a cos C

Now put ht value of x in eq 3

I.e, c² = a² + b² - 2ab cos C

Hence , cos C = \frac{a^{2}+ b^{2}-c^{2}}{2ab}      Proved   Answer

6 0
2 years ago
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