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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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What is the probability that when you roll the number cube (6 sides) twice, you will get 1 on both rolls?
Romashka-Z-Leto [24]

Answer:

1/36

Step-by-step explanation:

When you roll it the first time, the chances to get a 1 is 1/6.

when you roll it the second time, the chance is still 1/6, but the chance of rolling one twice in a row, is the product of the probabilities:

1/6 * 1/6 = 1/36

4 0
2 years ago
Factor completely 4u^2-28u+49
icang [17]

\bold{Answer}

\boxed{\bold{\left(2u-7\right)^2}}

\bold{Explanation}

  • \bold{Factor: \ 4u^2-28u+49}

\bold{---------------------}

  • \bold{Rewrite \ 4u^2-28u+49: \ \left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}

\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}

  • \bold{Apply \ Perfect \ Square \ Formula \ \left(a-b\right)^2=a^2-2ab+b^2: \ a=2u,\:b=7}

\bold{\left(2u-7\right)^2}

\boxed{\bold{Eclipsed}}

3 0
3 years ago
Read 2 more answers
What is the approximate area of a sector given O= 56 degrees with a diameter of 12m?​
jeyben [28]

Area of sector is 17.584 meters

<em><u>Solution:</u></em>

Given that we have to find the approximate area of a sector given O= 56 degrees with a diameter of 12m

Diameter = 12 m

Radius = Diameter / 2 = 6 m

An angle of  56 degrees is the fraction \frac{56}{360} of the whole rotation

A sector of a circle with a sector angle of 56 degrees is therefore also the fraction \frac{56}{360} of the circle

The area of the sector will therefore also be  \frac{56}{360} of the area

\text{ sector area } = \frac{56}{360} \times \pi r^2\\\\\text{ sector area } = \frac{56}{360} \times 3.14 \times 6^2\\\\\text{ sector area } = 17.584

Thus area of sector is 17.584 meters

3 0
3 years ago
Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0
3 years ago
Please help and show work
sashaice [31]
The answer to the question is 14

x^4 + 14x^2 + 49


(x^2 + 7)^2

perfect square
3 0
3 years ago
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