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MArishka [77]
3 years ago
5

What is the unit rate to the nearest cent per ounce if there is size is pint and the quantity is 16oz and the price is $3.98

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
~3.98÷16=0.25 ~ So for the first one $0.25/ounce is the unit rate 
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In circle o, the length of radius OL is 6 cm and the length
AlekseyPX

Answer:

14.2cm

Step-by-step explanation:

The diagram representing the circle and its attributes has been attached to this response.

<em>As shown in the diagram;</em>

The circle is centered at o,

The length of radius OL = 6cm

The length of the arc LM = 6.3cm

The angle MON = 75°

The angle LOM = θ

<em>Remember that;</em>

The length, L, of an arc is given by;

L = (θ / 360) x (2πr)         -------------(i)

Where;

θ is the angle subtended by the arc

r = radius of the circle.

Using the formula in equation (i), let's calculate the angle θ subtended by arc LM as follows;

L = (θ / 360) x (2πr)  

Where;

L = length of arc LM = 6.3cm

r = radius of the circle = length of radius OL = 6cm

<em>Substitute these values into the equation to get;</em>

6.3 = (θ / 360) x (2 x π x 6)

6.3 = (θ / 360) x (12 x π)

6.3 = (θ / 30) x (π)              [Take π = 22/7]

6.3 = (θ / 30) x (22 / 7)

θ = \frac{6.3*30*7}{22}

θ = 60.14°

Therefore, the angle subtended by arc LM is 60.14°

Now, from the diagram,

The angle subtended by arc LMN is;

θ + 75° = 60.14° + 75° =  135.14°

Let's now calculate the length of arc LMN using the same equation (i)

L = (θ / 360) x (2πr)  

Where;

L = length of arc LMN

θ = angle subtended by LMN = 135.14°

r = radius of the circle = length of radius OL = 6cm

<em>Substitute these values into the equation;</em>

L = (135.14° / 360°) x (2 x π x 6)             [Take π = 22/7]

L = 14.15cm

Therefore, the length of arc LMN is 14.2cm to the nearest tenth.

6 0
3 years ago
I need to show my work, could anyone help? (need by tonight 3/10/20
marishachu [46]

Answer:

14 gallons....$42

Step-by-step explanation:

The car requires one gallon every 32 miles...

The car requires c gallons for 448 miles

c = 448 × 1 / 32

= 14 gallons..

One gallon = $3

Fourteen gallons = ??

14 × 3 / 1 = $42

3 0
3 years ago
What will be the annual salary for a mechanic who works 40 hours per week for 52 weeks a year and makes $25.21 per hour? (Rememb
Snowcat [4.5K]
Salary = 40hrs x 52wks x $25.21 

= $<span>52,436.80 per year</span>
5 0
3 years ago
Suppose f(x) = x2 and g(x) = 2x − 3. What is the value of g(4) + f(−3)?
MAVERICK [17]

In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.

Substitute -3 into f(x).

f(x)=x²

f(-3)=(-3)²

f(-3)=9

Substitute 4 into g(x).

g(x)=2x-3

g(4)=2(4)-3

Using the rules of PEMDAS, multiply first then subtract.

g(4)=8-3

g(4)=5

Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.

5+9=14

<u>The value of g(4)+f(-3) is 14.</u>

8 0
3 years ago
Tell whether the relation is a function explain your reasoning (Brainliest to the correct answer) is it one-to-one? Does it lass
Vera_Pavlovna [14]
Not a function. X=10 has 2 pairs which makes it not a function. It does not pass the vertical line test because the line would go thru it 3 times.
4 0
2 years ago
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