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3 years ago

Solve the equation. z/32 + 5/8 =13/16 True Or false, And why?

Mathematics

2 answers:

ivolga24 [154]3 years ago

7 0

Z=6 So, true because the factors of the both of the fractions are equivalent to 6...

Oxana [17]3 years ago

5 0

The equation is false because the real answer is z5/4. The variable doesn't just disappear.

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Help with finding g(f(x))<br> f(x) = x squared - 3x + 2 <br> g(x)= x+2

n200080 [17]

Answer:

=x+2

Step-by-step explanation:

6 0

3 years ago

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A shipping company is loading cube shaped crates into a larger cube shaped container the smaller cubes have side lengths 21/2 fe

zheka24 [161]

Answer:

64 crates

Step-by-step explanation:

Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet

Larger Container (Cube) Side Length = 10 feet

We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.

Volume of Cube = x^3

Where x is the side length of the cube

Now,

Small Crate Volume = (2.5)^3 = 15.625 cubic feet

Large Container Volume = 10^3 = 1000 cubic feet

Number of crates that would fit = 1000/15.625 = 64

So, 64 crates will fit in the largest shipping container

7 0

4 years ago

What value of x is in the solution set of 2x – 3 > 11 – 5x?

pochemuha

Given:

2x -3 > 11 -5x

Simplify both sides:

2x - 3 > -5x + 11

Add 5x to both sides:

2x - 3 +5x > -5x + 11 +5

7x - 3 > 11

Add 3 to both sides:

7x - 3 +3 > 11 + 3

7x > 14

Divided 7 to both sides:

$\frac{7x}{7}$ > $\frac{14}{7}$

x > 2

4 0

3 years ago

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29

Alchen [17]

Answer

Find out the what is the surface area of the pyramid .

To proof

Formula

Surface area of a square pyramid

$= a^{2} + 2a \sqrt{\frac{a^{2}}{4} +h^{2}$

Where a is the base edge and h be the height .

As given

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches.

i.e Base edge = 40 inches

Height = 21 inches

Put values in the above formula

$= 40^{2} + 2\times40\times\sqrt{\frac{40^{2}}{4} +21^{2}$

solving

$= 1600 + 80 \sqrt{\frac{1600}{4} + 441$

$= 1600 + 80\times\sqrt{841}$

$\sqrt{841} = 29$

= 1600 + 80 × 29

= 3920 inches²

Therefore the surface area of the pyramid is 3,920 inches²

Hence proved

4 0

3 years ago

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100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POINTS100 POIN

Viefleur [7K]

Hello!

There are only six was to to role a number less than four. 1 and 1. 1 and 2. 2 and 1. 1 and 3. 2 and 2. 3 and 3 and 1.

The first number on the die could be 1, and the second die could have a probability of rolling the second number on it. Giving us a probability of 1/6.

We can subtract the calculated probability from rolling less than four from 1 to find the probability of rolling more than 5:

1 - 1/6 = 5/6

So, your answer should be D 5/6.

5 0

4 years ago

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