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BartSMP [9]
3 years ago
5

Evaluate the expression for the given values. 12x+5y/3z, where x + 1/2, y = 6 and z = 3

Mathematics
2 answers:
Semmy [17]3 years ago
6 0

Answer:

4

Step-by-step explanation:

Substitute: \frac{\frac{12}{2} +5*6}{3*3}

Cross out the common factor: \frac{6+5*6}{3*3}

Calculate the product or quotient: \frac{6 +30}{3*3}

Calculate the product or quotient: \frac{6+30}{9}

Calculate the sum or difference: \frac{36}{9}

Cross out the common factor: 4

Answer: 4

earnstyle [38]3 years ago
4 0
12* 1/2 + 5*6/3*3

6 + 30/9

6 + 10/3

6 *3/3 = 18/3

18/3 + 10/3

28/3 = 9 1/3

the answer is 9 1/3
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The diameter of the moon is about 3500 km. Approximate the surface area of the moon using the formula for the surface area of a
horrorfan [7]

Answer:

3.8465 *10^7 square kilometers

Step-by-step explanation:

The surface area of a sphere can be found using the formula SA=4\pi r^2. Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.

SA=4\pi r^2\\SA = 4 \pi (1750)^2\\SA = 4 \pi *3,062,500\\SA =38,465,000

The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base. 3.8465 *10^7

5 0
3 years ago
Does anyone know the answer to this ?
melamori03 [73]

Answer:

1595 ft^2

Step-by-step explanation:

The answer is obtained by adding the areas of sectors of several circles.

1. Think of the rope being vertical going up from the corner where it is tied. It goes up along the 10-ft side. Now think of the length of the rope being a radius of a circle, rotate it counterclockwise until it is horizontal and is on top of the bottom 20-ft side. That area is 3/4 of a circle of radius 24.5 ft.

2. With the rope in this position, along the bottom 20-ft side, 4.5 ft of the rope stick out the right side of the barn. That amount if rope allows for a 1/4 circle of 4.5-ft radius on the right side of the barn.

3. With the rope in the position of 1. above, vertical and along the 10-ft left side, 14.5 ft of rope extend past the barn's 10-ft left wall. That extra 14.5 ft of rope are now the radius of a 1/4 circle along the upper 20-ft wall.

The area is the sum of the areas described above in numbers 1., 2., and 3.

total area = area 1 + area 2 + area 3

area of circle = (pi)r^2

total area = 3/4 * (pi)(24.5 ft)^2 + 1/4 * (pi)(4.5 ft)^2 + 1/4 * (pi)(14.5 ft)^2

total area = 1414.31 ft^2 + 15.90 ft^2 + 165.13 ft^2

total area = 1595.34 ft^2

6 0
3 years ago
The pattern rule for a sequence is "Start at 2, triple each number, and add 1." Write the first five numbers in the sequence.
grandymaker [24]
Just go to quiz lit on safari and it’ll give you all the answers and you’ll be good it’s on safari
5 0
3 years ago
Fruit juice comes in two types of containers. The first is a rectangular prism that is 9 inches tall and has a rectangular base
My name is Ann [436]

The volume of a rectangular prism:

V_p=Bh\\\\B=wl\\\\w=2\ in;\ l=3\ in;\ h=9\ in

substitute

V_p=2\cdot3\cdot9=54\ in^3

The volume of a cylinder:

V_c=\pi r^2h\\\\r=1.5\ in;\ h=8\ in

substitute:

V_c=\pi\cdot(1.5)^2\cdot8=\pi\cdot2.25\cdot8=18\pi\ in^3\approx18\cdot3.14=56.52\ in^3

Answer: C. The cylinder has the greater volume.

3 0
3 years ago
There are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch
Mars2501 [29]

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

6 0
2 years ago
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