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3 years ago

Simplify: 3[2(6 + 4)-8]+8÷2

1 answer:

8 0

<span>3[2(6 + 4)-8]+8÷2

Inner most bracket (6 + 4):
= </span><span>3[2(10)-8]+8÷2

Multiplication within the bracket (2(10)):
</span>= 3[20-8]+8÷2

Bracket (20 - 8):
= 3[12]+8÷2

Multiplication (3(12)):
= 36+8÷2

Division (8÷2):
= 36+4

Add (36 + 4):
=40

Answer: 40

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You use 4 gallons of water on 30 plants. At that rate how much water will you need for 45 plants?

Alja [10]

You would use 6 gallons of water to water 45 plants
4=30
$\frac{45}{30}$ = $\frac{3}{2}$
$\frac{3}{2}$ of 4 gallons = 6 gallons

8 0

3 years ago

Read 2 more answers

A line passes through point A(10,15). A second point on the line has an x-value that is 125% of the x-value of point A and a y-v

melisa1 [442]

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Step-by-step explanation:

The point-slope form of a linear equation is $y-y_{1}=m(x-x_{1})$ , where

m is the slope of the line, where $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
$(x_{1},y_{1})$ is a point on the line

∵ Point A = (10 , 15)

∵ The x-coordinate of the second point is 125% of x-coordinate

of point A

∴ x-coordinate of second point = $\frac{125}{100}$ × 10

∴ x-coordinate of second point = 12.5

∵ The y-coordinate of the second point is 75% of y-coordinate

of point A

∴ y-coordinate of second point = $\frac{75}{100}$ × 15

∴ y-coordinate of second point = 11.25

∴ The coordinates of the second point are (12.5 , 11.25)

Let us find the slope of the line by using the rule of it above

∵ $(x_{1},y_{1})$ = (10 , 15)

∵ $(x_{2},y_{2})$ = (12.5 , 11.25)

∴ $m=\frac{11.25-15}{12.5-10}=\frac{-3.75}{2.5}=-\frac{3}{2}$

Now we can write the equation

∵ The point-slope form is $y-y_{1}=m(x-x_{1})$

∵ $m=-\frac{3}{2}$

∵ $(x_{1},y_{1})$ = (10 , 15)

- Substitute these values in the form of the equation

∴ y - 15 = $-\frac{3}{2}$ (x - 10)

The equation of the line in the point-slope form is y - 15 = $-\frac{3}{2}$ (x - 10)

Learn more:

You can learn more about the linear equation in brainly.com/question/4152194

#LearnwithBrainly

5 0

3 years ago

3691 as a rational number3691 as a rational number

charle [14.2K]

Answer:

Yes its a rational number

Step-by-step explanation:

4 0

3 years ago

What is the sum of a seven-term geometric series if the first term is -2, the last term is

ExtremeBDS [4]

Answer:

-26042

Step-by-step explanation:

sum of a finite geometric series =

$\frac{a_1(1-r^n)}{1-r}$

here, a1 is the first term, r is the common ratio, and n is the number of terms

a1 = -2

r = -5

n = 7

$\frac{a_1(1-r^n)}{1-r} = \frac{-2(1-(-5)^7)}{1-(-5)} = -26042$

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2 years ago

Tom Burke buys a home in Virginia for $139,000. He puts down 30% and obtains a mortgage for 25 years at 12%. The portion of the

Marat540 [252]

You didn't specify the periodic payment in your question. I will solve it assuming that payment is made monthly.

Amount owing by Tom = 70% of 139,000 = 0.7 x 139,000 = $97,300

Present Value of an annuity is given by PV = P(1 - (1 + r)^-n)/r; where P is the periodic (monthly) payment, r is the interest rate = 12%/12 = 1% = 0.01, n is the number of periods = 25 x 12 = 300 months.

97,300 = P(1 - (1 + 0.01)^-300)/0.01
P = 973/(1 - (1.01)^-300) = 973/(1 - 0.050534) = 1,024.79
Thus Tom pays $1,024.79 per month.

Interest due for the first month = 0.01 x 97,300 = $973

Therefore, the portion of the first payment that covers the interest is $973

7 0

3 years ago

Read 2 more answers