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3 years ago

6

I am greater than 54 fewer tens than 90?

1 answer:

Lubov Fominskaja [6]3 years ago

6 0

In all cases, we will let x represent the number.
1) 54 tens = 540
90 - 540 = -450
x > -450

2) x < 36 and x > 24
24 < x < 36

3) 8 tens and 5 ones = 80 + 5 = 85
x > 85

4) x > 27
x < 33
And the value in the ones place is less than the value in the tens place, so
30 ≤ x ≤ 32

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Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

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Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

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3 years ago

Sadie has mangos and watermelons in a ratio of 91:11. How many mangos does she have if she has 66 watermelons?

snow_lady [41]

Answer:

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Step-by-step explanation:

Sadie has mangos and watermelons in a ratio of 91:11.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3

Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

$\displaystyle \rho=\frac{m}{V}$

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

$m=\rho.V$

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3$

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

$\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3$

Calculating:

$V=523.6\ cm^3$

The mass is:

$m=8.09 gr/cm^3 \cdot 523.6\ cm^3$

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

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3 years ago