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2 years ago

Solve the proportion 12/16 = 3z/4

Mathematics

2 answers:

zhannawk [14.2K]2 years ago

8 0

Z = 1 is the answer to the problem

WITCHER [35]2 years ago

5 0

Answer:

z = 1

Step-by-step explanation:

12/16 = 3z/4

=> 12 x 4/16 = 3z

=> 3z = 12 x 4/16

=> 3z = 12 x 1/4

=> 3z = 3

=> z = 1

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What is the greatest common factor of 20x6y+40x4y2−10x5y5 ?

mestny [16]

The greatest common factor: 20x^6y 40x^4y^2 10x^5y^5 is 10x^4y.
20x^6y = 10x^4y*2x^2
40x^4y^2 = 10x^4y*4y
10x^5y^5 = 10x^4y*y^4

8 0

3 years ago

Find the surface area of the sphere with the given dimension. Leave your answer in terms of π. Sphere with radius of 60 m.

prohojiy [21]

The surface area of a sphere is given by $A=4 \pi r^{2}$ where r represents the radius.

As the radius is given as 60 meters we replace r with 60 in the formula above to get the surface area.

$A=4 \pi ( 60^{2} )=14400 \pi$

6 0

2 years ago

The radius of the circle is increasing at a rate of 2 meters per minute and the sides of the square are increasing at a rate of

Lunna [17]

Answer:

Change in area=24 $\pi$ -48

Step-by-step explanation:

Let s will be the side of square and r will be the radius of circle.

Then two given conditions are

1)dr/dt=2 m/s

2)ds/dt=1 m/s

Area enclosed=(Area of square)-(Area of circle)

Area of square= $s^{2}$

Area of circle= $\pi r^{2}$

Area enclosed= $(\pi r^{2})-s^{2}$

dA/dt=2 $\pi$ r(dr/dt)-2s(ds/dt)

At s=24,and r=6

dA/dt=2( $\pi$ )(6)(2)-2(24)(1)

Change in area=24 $\pi$ -48

6 0

2 years ago

I think of a number. If I divide the sum of 6 and the number by 3,the result is 4 more than one quarter of the number. Find the

Alex17521 [72]

Answer:

Step-by-step explanation:

Let the number be x.

Sum of the number and 6: $6+x$

Divide it by 3: $\frac{6+x}{3}$

Result is 4 more than one quarter of the number:

$\frac{6+x}{3} =4+\frac{1}{4} x$

Multiply both sides by 12:

$\frac{6+x}{3}\cdot \:12=4\cdot \:12+\frac{1}{4}x\cdot \:12$

Simplify:

$4\left(x+6\right)=48+3x$

Expand:

$4x+24=48+3x$

Subtract 24 from both sides:

$4x+24-24=48+3x-24$

$4x=3x+24$

Subtract 3x from both sides:

$4x-3x=3x+24-3x$

$x=24$

The number is 24.

7 0

2 years ago

1. Sam knows that his MP3 player has 40% of its battery life left and that the battery

Korolek [52]

Complete question :

Sam knows that his MP3 player has 40% of its battery life left and that the battery

charges by an additional 12 percentage points every 15 minutes. What percent of

the mp3's battery will be charged when Sam and his family leave? If mp3 was plugged in an hour before his family plan to leave.

Answer:

88%

Step-by-step explanation:

Time before leaving = 1hour

Current percentage = 40%

Charge rate = 12% every 15 minutes

Therefore,

Charge rate per minute :

12% / 15 = 0.8% per minute

Charge recieved after one hour (60 minutes) :

0.8% * 60

= 48%

Therefore, total charge after just before leaving is:

Current percentage + percentage received

40% + 48%

= 88%

6 0

2 years ago