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3 years ago

a carton can hold 1,000 unit cubes that measure 1 inch by 1 inch by 1 inch. describe the dimensions of the carton using cubes

1 answer:

3 0

Volume of the carton=1000 cubic inches.
Dimensions of the carton are 10 inches by 10 inches by 10 inches10*10*10 = 1000*1*1*1

Hoped this helped!
Happy Studying

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

2 years ago

snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the origi

Alika [10]

Step-by-step explanation:

60% of original price X = $180

60/100 × X = $180

60X/100= $180( cross multiply)

60X= 18000

X= 18000÷60

X= $300

8 0

2 years ago

Lezlie hiked 3/8 of a mile on Monday. On Wednesday she hiked 3/6 of a mile. She hiked 3/4 of a mile on Friday. Use benchmark num

Gnoma [55]

She walked the most on Friday because you have to find the LCD. The LCD is 24.
For example, to change the denominator of 4 to 24, you must divide 24 divided by 4 which equals 6. Since your answer was 6, you have to multiply both numbers, which are 3 and 4, by 6.
So, 4 times 6 is 24. This is the denominator and 4 times 3 is 18. This is the numerator.
If you do the same with all of the fractions then you will have the fractions of, 18 over 24, 12 over 24, and 9 over 24.
Look at all the numerators (the number on top of the fraction) and decide which one is the biggest.
18 is the biggest and since the fraction 18 over 24 was originally 3 over 4, this means that she walked the most on Friday.
Hoped this helps!!

3 0

3 years ago

Please help me with this question

Y_Kistochka [10]

Answer:

2(a - 4) + 5(b + 1) = 8. The result of this equation when solving is a = - 5b/2 + 11/2.

3(a - 1) - 2(b - 2) = -11. The result of this equation when solving is a = 2b/3 - 4.

Step-by-step explanation:

Hope this helps =)

8 0

2 years ago

I’ll BRAINLIEST YOU IF YOU GET IT RIGHT PLEASE HELP ME

Mashcka [7]

A’ (0,5) B’ (5,0) C’ (0, -5) D’ (-5,0)

6 0

3 years ago