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3 years ago

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Mathematics

1 answer:

goldfiish [28.3K]3 years ago

7 0

Answer: there are three of the holidays

Step-by-step explanation:

The prime numbers through 31 include 2,3,5,7,11,13,17,19,23,29,31,and 37 so therefore three of the holidays (Martin Luther, Easter, and Thanksgiving) fall on days that are prime numbers

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W(−4+z)=mz+17<br> solve for z

serious [3.7K]

Z =(17 + 4w)/(w - m) I believe

4 0

3 years ago

Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125

liq [111]

For the given equation;

$(3x-5)^2=-125$

We shall begin by expanding the parenthesis on the left side, after which we would combine all terms on and move all of them to the left side, which shall yield a quadratic equation. Then we shall solve.

Let us begin by expanding the parenthesis;

$\begin{gathered} (3x-5)^2\Rightarrow(3x-5)(3x-5) \\ (3x-5)(3x-5)=9x^2-15x-15x+25 \\ (3x-5)^2=9x^2-30x+25 \end{gathered}$

Now that we have expanded the left side of the equation, we would have;

$\begin{gathered} 9x^2-30x+25=-125 \\ \text{Add 125 to both sides and we'll have;} \\ 9x^2-30x+25+125=-125+125 \\ 9x^2-30x+150=0 \end{gathered}$

We shall now solve the resulting quadratic equation using the quadratic formula as follows;

$\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{Where;} \\ a=9,b=-30,c=150 \\ x=\frac{-(-30)\pm\sqrt[]{(-30)^2-4(9)(150)}}{2(9)} \\ x=\frac{30\pm\sqrt[]{900-5400}}{18} \\ x=\frac{30\pm\sqrt[]{-4500}}{18} \\ x=\frac{30\pm\sqrt[]{-900\times5}}{18} \\ x=\frac{30\pm\sqrt[]{-900}\times\sqrt[]{5}}{18} \\ x=\frac{30\pm30i\sqrt[]{5}}{18} \\ \text{Therefore;} \\ x=\frac{30+30i\sqrt[]{5}}{18},x=\frac{30-30i\sqrt[]{5}}{18} \\ \text{Divide all through by 6, and we'll have;} \\ x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3} \end{gathered}$

ANSWER:

$x=\frac{5+5i\sqrt[]{5}}{3},x=\frac{5-5i\sqrt[]{5}}{3}$

3 0

10 months ago

Debra has ridden 57 miles of a bike course the course is 60 miles long what percentage of the course has Debra ridden so far

Reptile [31]

Hello!

To find our answer, we just divide.

57/60=0.95

We multiply by 100 to find our percent

100(0.95)-95

Therefore, our answer is 95%

I hope this helps!

4 0

3 years ago

Read 2 more answers

What is the sum of 6dm, 40mm, 2m and 10cm in meters?

sveticcg [70]

Answer:

Step-by-step explanation:

<u><em>convert to meters</em></u>

6 dm = 0.6 m

40 mm = 0.04 m

2 m = 2 m

10 cm = 0.1 m

sum

0.6 + 0.04 + 2 + 0.1 =

2.74 m

7 0

2 years ago

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At what stage will 81 new friends know about your summer job?

Degger [83]

On the 4th stage, 81 friends will be called to be told of the news

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3 years ago