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3 years ago

12 less than 7 times a number is the same as 32 less than the product of -3 and a number

Mathematics

1 answer:

kaheart [24]3 years ago

6 0

7n -12 = -32 + -3n

I think this is the equation

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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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2 years ago

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If g(x)=2(x-4), find the value of x if g(x)=20

kherson [118]

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

20=2(x-4) solve as usual

divide each side by 2

10=x-4

add 4 to each side

14=x

the value of x is 14

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3 years ago

the average monthly precipitation for dallas for oct, nov, and dec is 3.47 in. If 2.88 in. falls in oct and 3.13 in. falls in no

saveliy_v [14]

Answer:

Step-by-step explanation:

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2 years ago

Hello! I need some help figuring out the following parts of trigonometry. Since this is a rather difficult math term to understa

Zina [86]

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SOH
CAH
TOA

This means:
Sine --> Opposite/Hypotenuse
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With that in mind, number 1:
Would be Sine, or C.

Number 2 would be, Cosine, or E.

And number 3 would be Tangent, or B.

Hope that was helpful.

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What is the square of 215

Natali5045456 [20]

Aprox 14.663
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