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2 years ago

Apply the distributive property to create an equivalent expression. 1/3 (3j + 6) =

Mathematics

1 answer:

Wittaler [7]2 years ago

4 0

Answer:

j + 2

Step-by-step explanation:

1/3 (3j + 6)

1/3 * 3j + 1/3 *6

j + 2

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One cube has an edge length 5 cm shorter than the edge length of the second cube. The volume of the smaller cube is 216 cm?. Wha

VLD [36.1K]

Answer:

The volume of the larger cube is $V=1,331\ cm^3$

Step-by-step explanation:

Let

x ---> the length of the smaller cube

y ---> the length of the larger cube

we know that

the volume of a cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$x=y-5$ ----> equation A

The volume of the smaller cube is 216 cm^3

substitute in the formula of volume

$216=x^3$

solve for x

$x=\sqrt[3]{216}\ cm$

$x=6\ cm$

<em>Find the value of y</em>

$x=y-5$

$6=y-5$

$y=6+5=11\ cm$

<em>Find the volume of the larger cube</em>

$V=y^3$

substitute the value of y

$V=11^3$

$V=1,331\ cm^3$

4 0

2 years ago

The perimeter of a rectangle is 13cm and its width is 11/4. find its length.

enyata [817]

Perimeter = 2 length + 2 width

P = 2(l) + 2(11/4)

$13 = 2l +2* \frac{11}{4}$

$13 = 2l + \frac{2}{1} * \frac{11}{4}$

$13 = 2l + \frac{22}{4}$ (subtract 22/4 from each side)

$13 -\frac{22}{4} = 2l$

$13 -\frac{11}{2} = 2l$

$\frac{26}{2} -\frac{11}{2} = 2l$

$\frac{15}{2}} = 2l$

$7.5 = 2l$ (divide each side by 2)

7.5 ÷ 2 = l

3.75 = l

The answer is 3.75 or $3 \frac{3}{4}$

6 0

1 year ago

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str

nirvana33 [79]

Sinα=h/L where h=height, L=string length...

h=Lsinα so

h(25°)=50sin25≈21.1ft

h(45°)=50sin45≈35.4ft

5 0

1 year ago

Read 2 more answers

Determine the probability of randomly selecting two individuals who are issued exactly two credit cards. [Hint: Are the events

pishuonlain [190]

Answer:

They are dependent because we have to select from people who are given cards.

Step By Step Explanation:

So we'll take away people not given cards first den find the probability of selecting people with cards over the total number of people present .

Probability we'll be equal to = number of people with card(C) two persons/total number of people

Where C represent combination

5 0

1 year ago

What number comes next 16, 06, 68, 88,

inessss [21]

So the given series is "16, 06, 68, 88, __"

Count all the cyclical opening in each of these numbers. For example in 16, there is a one cyclical loop present in it(the one in 6), similarly in 06 it is two(one in zero and one in 6), going ahead, in 68 it is 3(one in 6 and two in 8).

From here on things become simple: hence, the cyclical figures in these equations written down becomes 1,2,3,4,_,3.

Let's now try solving the above sequence, going by the logical reasoning the only number that can fill in the gap should be 4.

4 0

1 year ago