4 years ago

I need help asap please

Mathematics

1 answer:

Nat2105 [25]4 years ago

8 0

Answer: The answer is 0.00065

Step-by-step explanation: Cuz I am good at math.

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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.

DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

$5_b \cdot 23_b = 151_b$

The easiest way to approach this is to convert all the numbers to base 10.

$5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0$

$b^2-5b-14=0$

Next, we factorize the resulting expression.

$b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2$

The positive value of b for which the equality hold is 7.

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3 years ago

A right rectangular prism is filled to capacity with 152 cubes, each with 12 -inch long edges. What is the volume of the prism?

telo118 [61]

The is Answer 204 inches

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3 years ago

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What is the area of the following parallelogram in square centimeters?

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Answer:

3.6 cm²

Step-by-step explanation:

18 mm = 1.8 cm

A = 2cm×1.8cm = 3.6 cm²

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PLEASE HELP!!!!!!!!!!!!!!!

gavmur [86]

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Step-by-step explanation:

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Write algebraically:seven times the sum of a number and three is at most 23??<br>

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3 years ago

I need help asap please​

I need help asap please