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3 years ago

Which quantity is proportional to 45⁄3?

Mathematics

1 answer:

Nastasia [14]3 years ago

3 0

The proportionality is

45/3= 15

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Solve this system of equations by converting the equations into slope-intercept form. How many solutions does this system have?

Alex777 [14]

<h3>Answer: -3x-3y=-30= x=−y+10 </h3><h3>x+y+10= x=−y+10</h3>

8 0

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. $4608\sqrt{3}$

3 0

3 years ago

Read 2 more answers

The answer is A I just need help working it out

nordsb [41]

STU + STR = 180
8x + STR = 180 [ STU = 8x ]
STR = 180 - 8x

STR = SRT [ RS ≈ ST ]

Now, In ΔSRT,
we have, RST = 7x - 54, STR = SRT = 180-8x
Their sum is 180, as it constitutes a triangle.

7x-54 + 2(180-8x) = 180
7x - 54 + 360 - 16x = 180
306 - 9x = 180
9x = 306 - 180
9x = 306 - 180
x = 126/9
x = 14

So, option A is your answer.

Hope this helps!

5 0

3 years ago

Read 2 more answers

Two people agree to meet for a drink after work but they are impatient and each will only wait 20 minutes for the other person t

Brilliant_brown [7]

Answer: Probability of meeting is 0.67

Step-by-step explanation: Since each person decided to wait for 20minutes thus within an hour a maximum of 40minutes is spent waiting by both parties.Therefore, Probability of meeting will be 40mins/60mins=0.666 approximately 0.67

7 0

3 years ago

What is the equation of the line that has a slope of 3 and passes through the point (1,-2)?

Vera_Pavlovna [14]

Answer:

y = 3x - 5

Step-by-step explanation:

y = mx + b

y - b = mx

-b = mx - y

b = -mx + y

b = -3(1) -2

b = -5

3 0

2 years ago