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julia-pushkina [17]
3 years ago
5

Given: -7(x+2)+4x=6(2x-4); Prove x=2/3

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

-7(x+2)+4x=6(2x-4)

Distribute

-7x -14 +4x = 12x -24

Combine like terms

-3x-14 = 12x-24

Add 3x to each side

-3x-14+3x = 12x-24+3x

-14 = 15x-24

Add 24 to each side

-14+24 = 15x -24+24

10 = 15x

Divide each side by 15

10/15 =15x/15

2/3 =x

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A basketball player makes 60% of his free throws. We set him on the line of free-throw and informed him to shoot free throws unt
pshichka [43]

Answer:

B. 0.03110

Step-by-step explanation:

Given

Probability of Hit = 60%

Required

Determine the probability that he misses at 6th throw

Represent Probability of Hit with P

P = 60\%

Convert to decimal

P = 0,6

Next; Determine the Probability of Miss (q)

Opposite probabilities add up to 1;

So,

p + q = 1

q = 1 - p

Substitute 0.6 for p

q = 1 - 0.6

q = 0.4

Next,is to determine the required probability;

Since, he's expected to miss the 6th throw, the probability is:

Probability = p^5 * q

Probability = 0.6^5 * 0.4

Probability = 0.031104

Hence;

<em>Option B answers the question</em>

7 0
3 years ago
2) Calculate the surface<br> area of the cylinder:<br> 5 cm
AVprozaik [17]

Answer:

28π cm²

Step-by-step explanation:

The surface of a cylinder is given by the formula:

  • 2πrh + 2πr²

where r is the radius of the base, and h is the height.

Using the image, we can find that the radius of the cylinder would be 2 cm, and the height would be 5 cm.

Now, to find the surface area of the cylinder, we would have to plug in 2 for r (the radius of the base) and 5 for h (the height of the cylinder) into the formula for the surface area of a cylinder.

Now we plug in 2 for r and 5 for h for the equation for the surface area of a cylinder:

2π(2)(5) + 2π(2)² = 20π + 2π(4) = 20π + 8π = 28π

Remember, the radius and the height are given to us in cm, and w are solving for surface area, so the answer should be in cm² (square centimeters).

The surface area of the cylinder would be 28π cm².

28π cm² would be an exact answer. For the approximate answer, plug in 3.14 (most math classes use 3.14 to approximate π) for π.

I hope you find this helpful. :)

5 0
3 years ago
Write the explicit formula which can be used to represent the sequence 5,9,13,17
Oliga [24]

Answer:

4n+1

Step-by-step explanation:

Term 1: 4(1)+1 = 5

Term 2: 4(2)+1 = 9

Term 3: 4(3)+1 = 13

Term 4: 4(4)+1 = 17

4 0
3 years ago
Mrs Hom bought 44 pizzas which consist of regular size and large size pizzas to be distributed equally to 96 workers. Each regul
tino4ka555 [31]

96÷8= 12

44-12=32

12 Large Pizzas & 32 Regular Pizzas

32×6=192 slices

192÷96=2

Each worker got 1 slice of the large pizza & 2 slices of the regular pizza

5 0
3 years ago
The square root of 801025
Ket [755]

answer:

895

Step-by-step explanation:

6 0
3 years ago
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