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3 years ago

A and b are positive integers and a–b = 3. Evaluate the following: 27^ (1/3 b)/9^ (1/2 a)

Mathematics

1 answer:

maxonik [38]3 years ago

5 0

Answer:

1/27

Step-by-step explanation:

27^(b/3)/9^(a/2) = (27^(1/3))^b/(9^(1/2))^a = (3^b)/(3^a) = 3^(b-a)

= 3^(-(a-b)) = 3^-3 = 1/3^3 = 1/27

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Write the equation of line in slope-intercept form, which is parallel to y=−2x+5 and passing through the point (1, −4).

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

y=−2x+5

m= -2

As required line is parallel to y=−2x+5, slope will be same for these two lines.

slope of required line = -2

m = - 2 ; (1, -4)

y - y₁ = m (x - x₁)

y - (-4) = -2 * (x - 1)

y + 4 = -2x + 2

2x - 2 + y +4= 0

2x + y + 2 =0

y = -2x -2

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3 years ago

You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of

Nikolay [14]

Answer:

Step-by-step explanation:

20÷1.5 since there is not X

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3 years ago

Will give Brainly plz look at the picture

pav-90 [236]

Answer:

-3

Step-by-step explanation:

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2 years ago

Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per

BartSMP [9]

Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

40x+20y= 360

x+y=14

Solve for y in each equation:

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3 years ago

Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the

Cerrena [4.2K]

The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:

a) down payment = $800.00 ($4,000 x 20%)

b) amount financed = $3,200 ($4,000 - $800)

c) monthly payment = $103.25

d) total amount repaid = $4,517

e) finance charge = $517

<h3>How is periodic payment computed?</h3>

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

Learn more about periodic payments at brainly.com/question/13098072

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5 0

2 years ago