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3 years ago

2. Select all the equations that have the same solution as the equation 3x - 12 = 24.

Mathematics

1 answer:

PIT_PIT [208]3 years ago

8 0

Answer:

a and b

Step-by-step explanation:

15x-60=120

15x-60-60=120-60

15x=60

15x/15=60/15

x=4

3x=12

3x/3=12/3

x=4

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Alec can buy bottles of water in packages of 6 for $12.12 or in packages of 4 for $9.72. How much money does he save by buying 4

LuckyWell [14K]

48/6 = 8

He needs to buy 8 of the six pack size for a total of :

8 x 12.12 = $96.96

48/ 4 = 12 Of the 4 packs for a total of

12 x 9.72 = $116.64

He would save

116.64 - 96.96 = $19.68 by buying 8 of the six packs.

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3 years ago

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Shannon is putting a fence around the garden ,except where there is a gate that is 3 feet wide one foot of the fence cost $43 .T

tamaranim1 [39]

3x43=129 or is $129.

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3 years ago

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the

Murljashka [212]

Answer:

Step-by-step explanation: The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed (a cylinder and two cones). The silo is made up of a cylinder (with height 10 feet and base radius 5 feet) and two cones (each with height 5 ft and base radius 5 ft). The formulas given at the beginning of the SAT Math section:

Volume of a Cone:

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

Volume of a Cylinder:

$V=\pi r^2h$

can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by

$V_{silo} =\pi (5^2)(10)+(2)(\frac{1}{3})\pi (5^2)(5)=(\frac{4}{3})(250)\pi$

which is approximately equal to 1,047.2 cubic feet.

<u>The final answer is D.</u>

6 0

3 years ago

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Feliz [49]

Any locker with a number that is a multiple of 8, 12, and 75 will contain all three animals.

The least common multiple of these three numbers is

$\mathrm{lcm}(8,12,75)=600$

and so any multiples of 600 between 1 and 3500 will contain all three animals. These are 600, 1200, 1800, 2400, and 3000.

Why is the LCM 600? You can determine that using the prime factorizations of the three given numbers:

$8=2^3$
$12=2^2\times3$
$75=3\times5^2$

The LCM can be obtained by multiplying as many prime numbers together as are needed to contain the prime factorizations of the three numbers. This is obtained with

$2^3\times3\times5^2=8\times3\times25=600$

(at least three 2s to get the 8; at least one 3 and two of the previous 2s to get 12; and at least two 5s along with the previous 3 to get 75)

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3 years ago

A cubical house can hold 4096m of air .find the height of the house

iren2701 [21]

Answer:

16 m

Step-by-step explanation:

V = $s^{3}$

4096 = $s^{3}$

cube root of 4096 = 16

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3 years ago