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3 years ago

Solve algebraically for x and explain each step( using mathematical vocbuary) for the following: 2(x+5)+ 3x = 30

1 answer:

8 0

First do distributive property
2x + 10 + 3x = 30
Now combine like terms
5x + 10 = 30
Subtract 10 from both sides
5x = 20
Divide both sides by 5
x = 4

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Please help me with this 3x=9

fenix001 [56]

Answer:x = 3

Step-by-step explanation:

X =9/3

X=3

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3 years ago

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I am being timed. Please help

baherus [9]

Answer:

It would be 8 PM.

Step-by-step explanation:

If you keep decreasing 23 by 7 till you get to -5, it would have to be decreased 4 times to get to -5. This means that the time would have to go up 4 times the 45 minute rate, which would be 3 hours. 5 pm + 3 hours is 8 PM.

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3 years ago

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. $\sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$ factoring 96

since $\sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}$

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

using exponent rule - $(a^{b}) ^{c} = a^{bc}$

$\sqrt{2^{5} } = 2^{5/2}$

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

doing some simple simplification and $4=2^{2}$ and 6=2*3

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

collecting the roots on one side and applying exponent rule

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

Applying exponents rule on all $\sqrt{3}$ and $\sqrt{2}$

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

combining all powers of 2

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

Simplifying

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

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

11. $4608\sqrt{3}$

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3 years ago

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2. Which rule best represents the

hoa [83]

Answer:

The answer is A!

Step-by-step explanation: I’m pretty sure it’s A!
Unfortunately I haven’t seen this question on any of my tests but I’m pretty sure It is A! Trust me!

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2 years ago

Q11.

Kamila [148]

Answer:

Step-by-step explanation:

The area of a trapezium is given as;

Area = $\frac{1}{2}$ (a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 = $\frac{1}{2}$ ((x - 4) + (x + 50)) 2x

= (x - 4 + x + 5) x

531 = (2x + 1) x

= 2 $x^{2}$ + x

So that;

2 $x^{2}$ + x - 531 = 0

This gives a quadratic equation.

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3 years ago