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3 years ago

Help explain for brainlist

Mathematics

2 answers:

Lina20 [59]3 years ago

7 0

Answer:

C. 8

Step-by-step explanation:

$\because \: {s}^{3} = 64 \\ s = \sqrt[3]{64} \\ s = 4 \\ side \: of \: cube = 4 \: units \\ when \: side \: is \: halved \\ new \: side \: length = \frac{4}{2} = 2 \\ \: new \: volume = {2}^{3} = 8 \: cubic \: units$

lorasvet [3.4K]3 years ago

5 0

Hi the answer is c hope this helps

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The greater of is 7 more than the lesser. three times the greater number is 5 more than r4 times the lesser number. Find the num

Ilya [14]

<h2>Steps:</h2>

(Let x = greater number and y = lesser number)

So this question is asking us for a system of equations. Using the info they provide, we can form these two equations:

$x=y+7\ \textsf{("The greater of the numbers is 7 more than the lesser.")}\\3x=4y+5\ \textsf{("Three times the greater number is 5 more than 4 times the lesser number.")}$

So for this, we will be using the substitution method. Since we know that x = y + 7, substitute x with (y + 7) in the second equation as such:

$3(y+7)=4y+5$

From here we can solve for y. Firstly, distribute 3 so that it multiplies with y and 7:

$3y+21=4y+5$

Next, subtract 3y on both sides of the equation:

$21=y+5$

Lastly, subtract 5 on both sides of the equation:

$16=y$

Now that we know the value of y, we can substitute it into either equation to solve for x:

$x=16+7\\x=23\\\\3x=4(16)+5\\3x=64+5\\3x=69\\x=23$

<h2>Answer:</h2>

In short, 16 is the lesser number and 23 is the greater number.

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In 5 years, Dad will be three times as old as his daughter Jill will be then. If the sum of their present ages is 50, how old ar

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First, we know (D is dad, J is Jill) that D+J=50.
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Then, it becomes 50 - J + 5 = (3 * J) + (3 * 5)
Then, 55 - J = (3 * J) + 15
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Step-by-step explanation:

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