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3 years ago

The answers and work to all please quick

Mathematics

1 answer:

galben [10]3 years ago

3 0

1.) 12s= 60
Divide 12 on both sides
Final Answer: s= 5

2.) 7y= 42
Divide 7 on both sides
Final Answer: y= 6

3.) x/9=72
Multiply 9 on both sides
Final Answer: x= 648

4.) -5j=30
Divide -5 on both sides
Final Answer: j= -6

5.) n/20=1
Multiply both sides by 20
Final Answer: n= 20

6.) 15=n/5
Multiply 5 on both sides
Final Answer: 75 =n

7.) 100=25u
Divide 25 on both sides
Final Answer: 4 =u

8.) -36= -6p
Divide -6 on both sides
Final Answer: 6 =p

9.) -10=t/13
Multiply 13 on both sides
Final Answer: -103 =t

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Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

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bagirrra123 [75]

Line 1 to 2: Commutative Property of Multiplication, because all that changed was the order of the things being multiplied.
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All that changed in either step was the ordering of the things being multiplied or added. That’s the commutative property.

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A shipping container is in the shape of a right rectangular prism with a length of 8 feet, a width of 3.5 feet, and a height of

harkovskaia [24]

Answer:

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.65 pounds / cubic foot * 406 =

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