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Doss [256]
3 years ago
6

A counter in Brendan's kitchen is 1 yard wide and 3 yards long. Brendan wants to replace the counter with a granite countertop,

which would cost $206.00 per square yard. How much would the granite countertop cost?
Mathematics
1 answer:
brilliants [131]3 years ago
8 0

Answer:

The new granite countertop will cost $824.

Step-by-step explanation:

Step 1: The problem is to determine how many yards per square that the countertop is made up of.

This is the equivalent of finding the square area of the countertop.

The formula for the square area of a rectangle is given as L x W.

Where L = Lenght which is equal to 3 yards

W = 1 yard

Step 2:

Cost of per square yard required therefore is

3 x 1 = 3 square Yards.

The granite required for the countertop project therefore will cost:

$206 x 3 = $824.00

Cheers!

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What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?
lianna [129]

Answer:

y = \frac{1}{3} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{3} x + 4 ← is in slope- intercept form

with slope m = \frac{1}{3}

Parallel lines have equal slopes , then

y = \frac{1}{3} x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \frac{1}{3} x + 3 ← equation of parallel line

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23 and 32, 58 and -85

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Given the following table, find the rate of change between f(-1) and f(2)
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3p-2=-29 what dose p stand for???
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Read 2 more answers
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho
Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be=  x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

<u>Time taken by Samantha</u>

=\frac{80}{x}

<u>Time taken by Tamara</u>

=\frac{80}{4+x}

<u>Equation for difference in time</u>

=\frac{80}{x} -\frac{80}{4+x} =1

Solve the equation for difference in time to get value of x which is samantha speed

=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16

Samantha speed is 16 mph

6 0
2 years ago
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