All categories

2 years ago

Solve for X: 2/5 (X - 4) = 20

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

6 0

Answer:

x=104

Step-by-step explanation:

2/5(x-4)=20

2/5x-8/5=20

2/5x=20+8/5

=21/3/5

x=21/3/5÷2/5

=104

You might be interested in

18. One month, the Taylor family had cash receipts of $876.16. Their excess of cash receipts above cash payments was $56.14. Wha

Valentin [98]

$820.02

Step-by-step explanation:

Since the Taylor family had cash receipts of $876.16 and their excess of cash receipts above cash payments was $56.14.

The total cash payments for the month will be calculated as:

= $876.16 - $56.14

= $820.02

6 0

2 years ago

A glider flies 13 miles north from the airport and then 24 miles diagonally southeast. Approximately how far west does the glide

NISA [10]

Answer:

20.2 miles

Step-by-step explanation:

This can be described by the three sides of a right angled triangle. Let the distance of the glider to the airport be represented by x, applying the Pythagoras theorem:

$/hyp/^{2}$ = $/adj1/^{2}$ + $/adj2/^{2}$

$/24/^{2}$ = $/x/^{2}$ + $/13/^{2}$

576 = $x^{2}$ + 169

$x^{2}$ = 576 - 169

= 407

x = $\sqrt{407}$

= 20.1742

x = 20.2 miles

The glider has to fly 20.2 miles to return to the airport.

8 0

2 years ago

(12)2what does it equal

julia-pushkina [17]

12 × 2 = 24

anything to ask please pm me

7 0

2 years ago

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere $=\frac{2}{3}\pi r^3$

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$