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3 years ago

2 questions for math

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

3 0

Answer:

x = -24

a = 11

Step-by-step explanation:

So for the first one:

$-\frac{1}{4} x+6=\frac{2}{3} x+28$

Multiply both sides of the equation by 12

$-3x+72=8x+336$

Subtract 8x from both sides

$-11x+72=336$

Subtract 72 from both sides

$-11x=264$

Divide both sides by -11

$x=-24$

And the second one...

$2(a-2)=3(a-5)$

Distribute the 2 to the (a - 2) and the 3 to (a - 5)

$2a-4=3a-15$

then add 15 to both sides

$2a+11=3a$

Subtract 2a from both sides

11 = a

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3 years ago

A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s

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Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable X can be defined as the number of popcorn kernels that popped out of a mini bag.

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Apply continuity correction:

$P( X\geq 96)=P( X>96+0.50)$

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*Use a z-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

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3 years ago

Find the circumference and the area of a circle with diameter 7 cm.

Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

Hope this helped and you understood if you want it would help a lot if you put it brainliest.

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3 years ago

Mr. Nolan has a bank account that compounds interest

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Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

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Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

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3 years ago

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3 years ago

2 questions for math​

2 questions for math