Answer:
≈ <em>3.4</em><em> </em>
Step-by-step explanation:
Coordinates of the point that divide segment with endpoints A(
,
) and B(
,
) in a ratio a : b are
,
)
A(- 4, - 7)
B(8, - 4)
Ratio 8 : 5
x-coordinate is
=
≈ <em>3.4</em>
By definition, the volume of a sphere is given by:
V = (4/3) * (pi) * (r ^ 3)
where,
r: radius of the sphere.
Substituting we have:
V = (4/3) * (pi) * ((3) ^ 3) = 113.08 in ^ 3
answer
the best estimate for the volume of air in the balloon in cubic inches is
C. 113.1
Answer:
The speed of the first train is 45 mph and the speed of the second train is 75 mph
Step-by-step explanation:
Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).
The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles
The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles
Since the second train overtakes the first at 6:00 pm, hence:
3x + 90 = 5x
2x = 90
x = 45
Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).
Answer:
y = -3.84.
Step-by-step explanation:
(0.4y - 3)/(1.5y + 9) = -7/5
Cross multiply:
2y - 15 = -10.5y - 63
12.5y = -48
y = -3.84
<u>To find the density:</u>
⇒ must find the relationship between the density, mass, and volume
⇒ 
<u>Let's examine the information given:</u>
- weight: 1890g
- dimensions: 8cm * 5cm* 5cm
<u>Let's first find the volume:</u>
⇒ the volume is the dimensions multiplied together

<u>LEt's calculate the density now:</u>

<u>Answer:</u> The density of the copper is <u>9.45g/cm^3</u> or <u>Choice (A)</u>
<u></u>
Hope that helps!