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zlopas [31]
3 years ago
5

50 points Hannah is 2 times her sister’s age. The sum of their ages is no more than 18 years.

Mathematics
2 answers:
RideAnS [48]3 years ago
7 0

Answer:

12 years old

Step-by-step explanation:

1) 2x+x=18

2) Now solve 2x+x=18

Add alike terms

3x=18

Now divide both sides by 3 (3x/3 and 18/3)

x=6

So Hannah is 6 years old. Her sister must be 12.


denis-greek [22]3 years ago
5 0

Answer:


Step-by-step explanation:

Let "Hannah" = h, and her sister = s

h = 2s

h +  s ≤ 18

Plug in 2s for h in the second equation.

(2s) + s ≤ 18

Simplify

2s + s ≤ 18

3s ≤ 18

Isolate the variable (s). Divide 3 from both sides

(3s)/3 ≤ (18)/3

s ≤ 18/3

s ≤ 6

2) The oldest Hannah's sister can be is <em>6 years</em>

<em>~</em>

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What is the volume of a sphere with a diameter of 9.9 cm, rounded to the nearest
777dan777 [17]

Answer:

the volume of the sphere is 507.78981 cm^3

Step-by-step explanation:

The computation of the volume of the sphere is given below:

Given that

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= 4 ÷ 3 ×π × r^3

= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3

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6 0
2 years ago
HELP ASAP PLZ &amp;THANK YOU :)
Andre45 [30]

The standard form:

Ax+By=C

The slope-intercept form:

y=mx+b

m - slope

m=\dfrac{y_2-y_1}{x_2-x_1}

b - y-intercept (0, b).

We have the point (0, 43) → b= 43.

Next point (2, 55). Substitute to the slope formula:

m=\dfrac{55-43}{2-0}=\dfrac{12}{2}=6

Therefore we have:

y=6x+43      <em>subtract 6x from both sides</em>

\boxed{-6x+y=43}


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