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brilliants [131]

2 years ago

8

A number divided by 6 is 18

2 answers:

Sophie [7]2 years ago

5 0

Answer: The number in this situation would be 108. When you multiply 6×18, you get 108; thus 108÷6=18.

Have a great day!

m_a_m_a [10]2 years ago

4 0

Answer:

108

Step-by-step explanation:

x=number

X

___. = 18

6

Multiply 6 on both sides to get X by itself

18x6=108

x=108

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Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoo

NikAS [45]

Answer:

$[tex]4608\sqrt{3}$ [/tex]

Step-by-step explanation:

1. $\sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}$

2. $\sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$ <em>factoring 96</em>

<em>since $\sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}$ </em>

3. $\sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$

<em>using exponent rule - $(a^{b}) ^{c} = a^{bc}$ </em>

<em> $\sqrt{2^{5} } = 2^{5/2}$ </em>

4. $2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$

<em>doing some simple simplification and $4=2^{2}$ and 6=2*3</em>

5. $2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}$

<em>collecting the roots on one side and applying exponent rule</em>

6. $\sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}$

<em>Applying exponents rule on all $\sqrt{3}$ and $\sqrt{2}$ </em>

<em>7. $2^{1/2+1/2+1/2} *2^{5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}$ </em>

<em>combining all powers of 2</em>

8. $2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}$

<em>Simplifying</em>

9. $2^{9} *3^{2}\sqrt{3}$

10. $512*9\sqrt{3}$

11. $4608\sqrt{3}$

3 0

2 years ago

Read 2 more answers

−20 ≤ 59(F−32) ≤ −15

lubasha [3.4K]

We take the value of F in the inequality by taking the inequalities in group. Let the first group be:

(1) -20 ≤ 59(F - 32)

Then, the second group would be,
(2) 59(F - 32) ≤ - 15

Calculating for the values of F,

(1) -20 ≤ 59F - 1888
1888 - 20 ≤ 59F
1868 ≤ 59F
F ≥ 31.66

(2) (59)(F - 32) ≤ - 15
59F - 1888 ≤ -15
59F ≤ 1873
F ≤ 31.75

The values of F are therefore,
31.66 ≤ F ≤ 31.75

7 0

2 years ago

Vector question, please help

77julia77 [94]

Answer:

yes.

Step-by-step explanation:

3 0

2 years ago

Marshall invest $4500 into an account bearing 6% interest compounded semiannually. How much interest will be added into this acc

Sphinxa [80]

Answer:

$1547.62

Step-by-step explanation:

The principal Marshall invested is $4500.

The rate of interest is 6%

The compound interest formula is

$A=P(1+r)^n$

We substitute P=4500,r=0.06 and t=5 to obtain:

$A=4500(1+ \frac{0.06}{2} )^ {2 \times 5}$

We simplify to get:

$A=4500(1+ 0.03)^ {10} = 4500 \times {1.03}^{10}$

This gives us:

$A=6047.62$

The interest after 5 years is

$6047.62 - 4500 = 1547.62$

4 0

2 years ago

What are the apparent coordinates of the midpoint of diagonal ac

scZoUnD [109]

The answer would be cb

5 0

3 years ago