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3 years ago

(b) Simplify 5(x + 3) - x + 2

Mathematics

2 answers:

Pavel [41]3 years ago

5 0

Answer:

5x+15-x+2

4x+15+2

4x+17

geniusboy [140]3 years ago

3 0

Answer:

4 x + 17

Step-by-step explanation:

(5x+5×3)-x+2

4x+17

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Step-by-step explanation:

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4 years ago

A If Lin sells 6 boxes of popcorn, will she make her goal? State yes or no.

Pavel [41]

Answer:

No.

First, multiply 6 x 4 ($4 is the amount of money he makes from each sale).

6 x 4 = $24

If Lin's goal is $32, and he sells 6 boxes of popcorn for only $24, then he will not reach his goal in that specified range.

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2 years ago

Use the equation a = IaIâ

german

Answer:

a) $\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) $\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) $\:\:=7\cdot \frac{\:\:}{7}$

Step-by-step explanation:

a) Let a=<2,1,-3>

The magnitude of a is $|a|=\sqrt{2^2+1^2+(-3)^2}$

$|a|=\sqrt{4+1+9}=\sqrt{14}$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{\sqrt{14} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{14}\cdot \frac{\:\:}{\sqrt{14} }$

b) Let a=2i - 3j + 4k

$|a|=\sqrt{2^2+(-3)^2+4^2}$

$|a|=\sqrt{4+9+16}=\sqrt{29}$

$\hat{a}=\frac{\:\:}{\sqrt{29} }$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=\sqrt{29} \cdot \frac{\:\:}{\sqrt{29} }$

c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:

<1+2, 2+4, -3+1>=<3, 6, -2>

Let a=<3, 6, -2>

The magnitude is

$|a|=\sqrt{3^2+6^2+(-2)^2}$

$|a|=\sqrt{9+36+4}=\sqrt{49}=7$

The unit vector in the direction of a is

$\hat{a}=\frac{\:\:}{7}$

Using the relation $a=|a|\hat{a}$ , we have

$\:\:=7\cdot \frac{\:\:}{7}$

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3 years ago

A chemist is using 333 milliliters of a solution of acid and water. If 17.2% of the solution is acid, how many milliliters of ac

lozanna [386]

57 milliliters of acid

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3 years ago

Laloni is participating in her school's

Vlad1618 [11]

Answer:

Step-by-step explanation:

In order to find an average you need to add all the numbers you have and then divide your sum by the amount of numbers you added.

195+52+206=432

432 divided by 3= 151

That is the answer, 151.

4 0

3 years ago