What is p/20=(p-4)/5?

Mathematics

1 answer:

liq [111]3 years ago

3 0

Answer:

p = $\frac{16}{3}$

Step-by-step explanation:

Given

$\frac{p}{20}$ = $\frac{p-4}{5}$ ( cross- multiply )

20(p - 4) = 5p ← distribute left side

20p - 80 = 5p ( subtract 5p from both sides )

15p - 80 = 0 ( add 80 to both sides )

15p = 80 ( divide both sides by 15 )

p = $\frac{80}{15}$ = $\frac{16}{3}$

You might be interested in

The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

kolezko [41]

The correct question is
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. What is the volume of the composite figure<span>?
</span>
the complete question in the attached figure

we know that
[volume of a cone]=[area of the base]*h/3
[area of the base]=22*10/2-------> 110 units²
h=19.5 units
[volume of a cone]=[110]*19.5/3------> 715 units³

[volume of a triangular prism]=[area of the base]*h
[area of the base]=110 units²
h=25 units
[volume of a a triangular prism]=[110]*25------------> 2750 units³

[volume of a the composite figure]=[volume of a cone]+[volume of a <span>a triangular prism]

</span>[volume of a the composite figure]=[715]+[2750]-------> 3465 units³

the answer is
The volume of a the composite figure is 3465 units³