All categories

2 years ago

PLEASE HELP. Solve for x

Mathematics

1 answer:

sergejj [24]2 years ago

6 0

Answer:

x=8

Step-by-step explanation:

set up a proportion:

$\frac{20}{4}=\frac{4x-7}{5}$

simplify:

$5 =\frac{4x-7}{5}$

now solve this equation for x:

$5 = \frac{4x-7}{5} \\25 = 4x - 7\\32 = 4x\\x = 8$

You might be interested in

How do I solve this?

ohaa [14]

Answer:

Step-by-step explanation:

$x=e^{2t}-1\\y=e^t\\squaring\\\\y^{2}=e^{2t}\\Hence ~x=y^{2}-1$

5 0

2 years ago

Six sprinters are racing in a 100-meter dash. How many different ways can a gold, silver, and

horrorfan [7]

Answer:

Step-by-step explanation:

Explanation

6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6

5 runners remain. The second medal goes to any one of the 5

4 runners remain after 1 of the 5 have been choosen. Any one of the 4 could win.

Answer 6 * 5 * 4 = 120

There are 120 ways of awarding 3 medals to 6 people.

3 0

1 year ago

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

I need help for 7 and 8. i also need the solution on how you get the answer. thanks in advance!

ycow [4]

7) Rectangular pyramid:
Length = 8m ; width = 4.6m ; Volume = 88m³

Volume of a rectangular pyramid = (Length * Width * Height)/3
88m³ = (8m * 4.6m * height)/3
88m³ * 3 = 36.8m² * height
264m³ = 36.8m² * height
264m³ / 36.8m² = height
7.2 m = height

8) Cone:
r = 5 in ; volume = 487 in³

Volume of a cone = π r² h/3
487 in³ = 3.14 * (5in)² * h/3
487 in³ * 3 = 3.14 * 25in² * h
1,461 in³ = 78.5 in² * h
1,461 in³ / 78.5 in² = height
18.6 in = height

8 0

3 years ago

HELP PLZZZZZZZZZZZZ!!!!!!!!!!!!!!!! ILL GIVE YOU 15 POINTS

seropon [69]

Answer:

Step-by-step explanation:

a rational number is a number that can be expressed as a fraction p/q of two integers, q cannot be 0

so for A

$\sqrt{4/5}$ Cannot be expressed as 2 integers as a quotient

so A is wrong

For B .125 is 1/8 so yes -2 is a integer so yes 2/5 are 2 integers so yes

and $\sqrt{16/9}$ Is 4/3 so yes

7 0

3 years ago