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3 years ago

Find the GCF of each set of numbers.12, 30, 72Lesson 2 My

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

8 0

Answer:

The GCF is 6

Step-by-step explanation:

12/6=2

30/6=5

72/6=12

all are divisible by the greatest # of 6.

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What is the value of x in the equation below? 5(4x-10) + 10x = 4(2x-3) + 2(x-4)

Marina86 [1]

Answer:

5/2 i think but i am not sure sorry if its wrong

Step-by-step explanation:

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3 years ago

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3 years ago

A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $4800 for a job they jus

tamaranim1 [39]

Answer:

Apprentice=$800

Journeyman=$1600

Master=$2400

Step-by-step explanation:

We have that all the crew won a total of $4800 then it is the salary of the apprentice, the journeyman and the master carpenter. It say that the journeyman makes 200% of the apprentice, then it means that the journeyman won the double of the apprentice. The master won 150% of what a journeyman, it means that the master won 1.5 of the salary of the journeyman.

With this information we can write the next set of equations.

$A+J+M=\$4800\\J=2A\\M=1.5J$

Using the second equation in the third equation we can know how much won the master in terms of the salary of the apprentice, then:

$M=1.5J\\M=1.5(2A)\\M=3A$

With this we could rewrite the first equation as:

$A+J+M=\$4800\\A+2A+3A=\$4800\\6A=\$4800\\A=\dfrac{\$4800}{6}\\A=\$800$

Then the aprentice earn $800, the journeyman $1600 and the master $2400

6 0

3 years ago

Joel built a model town. He constructed three buildings that each had a volume of 18 cm cubed. Each building looked different. W

morpeh [17]

Answer:

The three buildings can look like following:

1. The building can look like a cube, with each side and height equal to 2.62 cm.

2. The building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.

3. The building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.

Step-by-step explanation:

The three possibilities of the appearance or shape of the building, with the volume equal to 18 cm³ are as follows:

1. CUBIC SHAPE:

The building can look like a cube with the length of each side and height given as:

Volume of Cube = 18 cm³ = L³

L = ∛18 cm³ = 2.62 cm

Thus, the building can look like a cube, with each side and height equal to 2.62 cm.

2. CUBOID SHAPE:

The building can also look like cuboid with the following dimensions.

Length = 3 cm

Breadth = 1 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Cuboid = Length * Breadth * Height

Volume of Cuboid = 3 cm * 1 cm * 6 cm = 18 cm³

Thus, the building can look like a cuboid, with 3 cm length, 1 cm breadth and 6 cm height.

3. PYRAMID SHAPE:

The building can also look like pyramid with the following dimensions.

Length = 3 cm

Breadth = 3 cm

Height = 6 cm

Thus, the volume becomes:

Volume of Pyramid = (Length * Breadth * Height)/3

Volume of Cuboid = (3 cm * 3 cm * 6 cm)/3 = 18 cm³

Thus, the building can look like a pyramid, with 3 cm length, 3 cm breadth and 6 cm height.

5 0

3 years ago

Mitchel is part of the track team at his high school. He ran the first 4 kilometers of a race in 30 minutes. How many kilometers

Usimov [2.4K]

Answer:

8 kilometers in one hour

Step-by-step explanation:

4:30/4

30 $divided$ by 4

7.5

4 divided by 4

7.5 minutes to 1 kilometer

since there are 60 minutes in a hour

60/7.5 = 8

8 x 1 = 8

3 0

2 years ago

Find the GCF of each set of numbers.12, 30, 72Lesson 2 My​

Find the GCF of each set of numbers.12, 30, 72Lesson 2 My