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3 years ago

A small sphere shaped jar has a 8 cm radius.what is the volume of the bowl

1 answer:

3 0

To find the volume of a sphere you have to use the equation
V = 4/3 π r³ Substitute in the r value (8)
V = 4/3 π 8³ Simplify the exponent
V = 4/3 π 512 Multiply 4/3 and 8 (In other words ; (4 x 512) / 3)
V = 682.67 π Multiply
V = 2143.5838 cm³

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Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C.

mr Goodwill [35]

Answer:

B. (-2,-4)

Explanation

Given equations:

y = 3x + 2

y = -2x - 8

Solving both equations will yield the values of x and y;

Solution:

y = 3x + 2 ----- (i)

y = -2x - 8 ------ (ii)

Using substitution method, input equation i, into ii

3x + 2 = -2x - 8

Collect like terms and solve;

3x + 2x = -8 -2

5x = -10

x = -2

Then put x = -2 into i, to find y

y = (-2 x 3) + 2

y = -6 + 2 = -4

So, the solution of the equation is B. (-2,-4)

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3 years ago

Melissa put her cat, Herman, on a diet and kept track of his weight. At the end of 4 weeks, she recorded Herman's weight change

vampirchik [111]

-103
if he lost the same weight each week that means -412 (the weight he lost) ÷ 4 (number of weeks) = -103 (amount of weight lost in one week)

8 0

3 years ago

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Estevan walks to school he usually stays on the sidewalk but today he cut through the park how much shorter did he walk today th

andrew-mc [135]

Is there any other info?

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3 years ago

If y-3x=9, 7x+y=25, what is the value of x and y?

lianna [129]

$\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?$

$\bold{\rm{Solution}} \text{: We'll solve this by substitution method}$

$\dashrightarrow y - 3x = 9 \\ \\ \dashrightarrow \boxed{y = 9 + 3x } \qquad .. \sf eq(1)$

$\text{we got the value of y now getting the value of x}$

$\looparrowright 7x + y = 25 \\ \\ \looparrowright 7x = 25 - y \\ \\ \looparrowright \boxed{x = \frac{25 - y}{7}} \qquad .. \sf eq(2)$

$\text{Now, putting y = 9 + 3x in eq(2)}$

$\hookrightarrow x = \frac{25 - y}{7} \\ \\ \hookrightarrow x = \frac{25 - 9 + 3x}{7} \\ \\ \hookrightarrow 7x = 25 - 9 + 3x \\ \\ \hookrightarrow 7x - 3x = 16 \\ \\ \hookrightarrow 4x = 16 \\ \\ \hookrightarrow x = \frac{16}{4} \\ \\ \star \quad \boxed{ \green{ \frak{ x = 4}}}$

$\text{Now we know the value of x, for getting y we need to put x in eq(1)}$

$: \implies y = 9 + 3x \\ \\ : \implies y = 9 + 3(4) \\ \\ : \implies y = 9 + 12 \\ \\ \star \quad \boxed{\frak{ \green{y = 21}}}$

$\text{Hence, values of x and y are} \: \frak{ \green{4}} \: \text{and} \: \frak{ \green{21}} \: \text{respectively}.$

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2 years ago

The cost of 5 dresses and 2 belts is $48. The cost of 3 dresses and 2 belts is $32. Find the cost of a dress and a belt. Let x d

sergejj [24]

I think the answer is as

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2 years ago