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Aliun [14]
2 years ago
11

What is 67% of $242.07?

Mathematics
2 answers:
ankoles [38]2 years ago
7 0

Answer:

67% as a fraction is 67/100

using the keyword 'of' they mean to multiply

67/100 x 242.07 = 162.1869, rounding to the nearest cent would be $162.19

Rainbow [258]2 years ago
4 0
The answer is $162.1869 which is $162.19
Please give brainliest!
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Y-2 = -3(x + 6), write the equation of the line in slope intercept form.
lisov135 [29]

Answer:

y = -3x - 16

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: y - 2 = -3(x + 6)

Slope-intercept form: y = mx + b

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).

To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:

y = mx + b

2 = -3(-6) + b

2 = 18 + b

Subtract 18 from both sides of the equation to isolate b:

2 - 18 = 18 - 18 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = -3x - 16

8 0
2 years ago
A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 60 ft deep. The bucket is f
mestny [16]

Answer:

The value is W= 2640 \  ft \cdot lb

Step-by-step explanation:

From the question we are told that

The weight of the bucket is F =  5 lb

The depth of the well is x_1 =  60 \ ft

The weight of the water is W_w  =  42 lb

The rate at which the bucket with water is pulled is v  = 1.5 \  ft/s

The rate of the leak is r = 0.15 lb/s

Generally the workdone is mathematically represented as

W =  \int\limits^{x_1}_{x_o} {G(x)} \, dx]

Here G(x) is a function defining the weight of the system (water and bucket ) and it is mathematically represented as

G(x) =  F  +  (W_w- Ix)

Here I is the rate of water loss in lb/ft mathematically represented as

I  = \frac{r}{v}

=> I  = \frac{0.15 }{1.5 }

=> I  = 0.1

So

G(x) =  5  +  (42- 0.1x)

=> G(x) =  47- 0.1x)

So

W =  \int\limits^{60}_{0} {47- 0.1x} \, dx]

=> W =  [47x - \frac{0.1x^2}{2} ]|\left 60} \atop {0}} \right.

=> W= [47(60) - 0.05(60)^2]

=> W= 2640 \  ft \cdot lb

7 0
3 years ago
The Owens family has saved up $50,000 for a down payment on a house. They are going to use this money as the %10 down payment th
fenix001 [56]
The price of the house is $500,000.
4 0
2 years ago
Rewrite the equation below into standard form. 2y=3x+12
olasank [31]
Standard form: 3x−2y=−<span>12 </span>
3 0
3 years ago
Find the ratio a:b, if it is given that a+b=3b
Darya [45]

Answer:

Step-by-step explanation:

a + b = 3b

a = 3b - b

a = 2b

a/b = 2/1

a:b = 2:1

8 0
2 years ago
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