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2 years ago

13

Question 8, how do i do it? Please show work too

1 answer:

DENIUS [597]2 years ago

4 0

Answer: 26

Step-by-step explanation:

10 : 3 means for every 3 songs he kept, he deleted 10

He deleted 20

10 * 2 = 20

3 * 2 = 6

He deleted 20 songs, and kept 6.

So, he had 26 songs on his MP3 player.

20 + 6 = 26

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Luis hizo un viaje en el coche en el cual consumio 20 l de gasolina. el trayecto lo hizo en dos etapas en la primera consumio 2/

algol13

Answer: $24\ liters$

Step-by-step explanation:

Let be "x" the amount of gasoline in liters that the car's tank had at the beginning of the trip.

1. In the first part of the trip the amount of gasoline the car used can be expressed as:

$\frac{2}{3}x$

2. After the first part of the trip, the remaining was:

$x-\frac{2}{3}x=\frac{1}{3}x$

3. In the second part of the trip the car used $\frac{1}{2}$ of the remaining. This is:

$(\frac{1}{3}x)(\frac{1}{2})=\frac{1}{6}x$

4. The total amount ot gasoline used in this trip was 20 liters.

5. Then, with this information, you can write the following equation:

$\frac{2}{3}x+\frac{1}{6}x=20$

6. Finally, you must solve for "x" in order to find its value. This is:

$\frac{2}{3}x+\frac{1}{6}x=20\\\\\frac{5}{6}x=20\\\\5x=120\\\\x=24$

3 0

2 years ago

Determine if the following are in proportion :

KATRIN_1 [288]

Step-by-step explanation:

The given numbers are : 32 , 48 , 140 , 120

First number is 32

Second number is 48

Third number is 140

Fourth number is 120

First number/second number :

$\dfrac{N_1}{N_2}=\dfrac{32}{48}\\\\=\dfrac{2}{3}\ ....(1)$

Third number/Fouth number :

$\dfrac{N_3}{N_4}=\dfrac{140}{120}\\\\=\dfrac{7}{6}\ ....(2)$

From equation (1) and (2) we can see that the ratio is not same. Hence, they are not in proportion.

3 0

3 years ago

Find the volume of the cone. Round your answer to the nearest tenth.

Anton [14]

Answer:115.4685yd^3

Step-by-step explanation:

Volume of cone=1/3πr2h

V=1/3×3.142×3.5yd×3.5yd×9yd

V=115.4685yd^3

6 0

3 years ago

Find the volume and surface area of the composite figure. Give your answer in terms of pi

ExtremeBDS [4]

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

$V_1=\dfrac{1}{3}\pi r^2h$

Where, r is the radius and h is the height of the cone.

Putting $r=8,h=15$ in the above formula, we get

$V_1=\dfrac{1}{3}\pi (8)^2(15)$

$V_1=\pi (64)(5)$

$V_1=320\pi$

Volume of the hemisphere is:

$V_2=\dfrac{2}{3}\pi r^3$

Where, r is the radius.

Putting $r=8$ , we get

$V_2=\dfrac{2}{3}\pi (8)^3$

$V_2=\dfrac{1024}{3}\pi$

$V_2\approx 341.3\pi$

Now, the volume of the composite figure is:

$V=V_1+V_2$

$V=320\pi +341.3\pi$

$V=661.3\pi$

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

$A_1=\pi r\sqrt{h^2+r^2}$

Where, r is the radius and h is the height of the cone.

Putting $r=8,h=15$ in the above formula, we get

$A_1=\pi (8)\sqrt{(15)^2+(8)^2}$

$A_1=\pi (8)\sqrt{289}$

$A_1=\pi (8)(17)$

$A_1=136 \pi$

The curved surface area of the hemisphere is:

$A_2=2\pi r^2$

Where, r is the radius.

Putting $r=8$ , we get

$A_2=2\pi (8)^2$

$A_2=2\pi (64)$

$A_2=128\pi$

Total surface area of the composite figure is:

$A=A_1+A_2$

$A=136\pi +128\pi$

$A=264\pi$

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.

8 0

2 years ago

the diagram shows 140 degrees sector in a circle of radius 8 units. What is the approximate area of the shaded sector?

Eva8 [605]

Answer: 78 square units

Step-by-step explanation:

4 0

2 years ago