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Montano1993 [528]
3 years ago
13

The average price of a gallon of orange juice in Newark, NJ is $6. The average price in Boston is 110% of the price in Newark. W

hat is the average price of a gallon of orange juice in Boston?​
Mathematics
1 answer:
alina1380 [7]3 years ago
7 0

Answer:

$12.60

Step-by-step explanation:

average price of a gallon of orange juice in Boston = average price in NJ + value of percentage increase over NJ's price

value of percentage increase over NJ's price  = 110% x $ 6

= 1.10 x $6 = 6.6

6.6 + 6 = $12.60

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Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
The volume of a sphere is 36 ft.3 What is the radius of the sphere? Use
noname [10]

Answer:

828382772

Step-by-step explanation:

do it your self

hope this help

5 0
2 years ago
Find the surface area of the two following figures. Show all your work.
Misha Larkins [42]

Answer:

First shape: 366 in^2

Second shape: 376 in^2

Pretty sure these are correct, hope this helps!

7 0
2 years ago
If q/18 = 5 what does q = to
qaws [65]

Answer:

Q= 90

Step-by-step explanation:

To do this problem you need to get q by itself and to do that you would move the 18 over

When you move the 18 over however you need to multiply and you will get 90

When ever you want to get a variable by itself always remember to switch the sign so if it was positive then switch it to negative and vice versa. It will also apply to multiplication and division just like this one

7 0
2 years ago
Read 2 more answers
9x +y=-5<br> Coefficient of x
V125BC [204]

Answer:

x=-14y

Step-by-step explanation:

9x+y=-5

x+y=-5-9

x+y=-14

x=-14y

8 0
2 years ago
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