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Semmy [17]
3 years ago
7

Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice. She finds the unit rate of each

brand and rounds to the nearest cent. Which statement about the unit rates is true?
Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Answer:

"Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce."

In order to find the rounded cost per one item (in this case, per one ounce) Susan needs to divide the total price between the number of units and after that, round the result obtained up to the nearest cent.

Therefore:

Brand A

2.55$/12 ounces= 0.2125 $/ounce

As the third decimal digit, 2, is closer to 0 than to 9, then we maintain the second decimal digit as 1.

The price per unit of brand A after rounding it up is 0.21 $ per ounce

Brand B

1.45$/8 ounces= 0.1812

As the third decimal digit, 1, is closer to 0 than to 9, then we maintain the second decimal digit as 8.

The price per unit of brand B after rounding it up is 0.18 $ per ounce

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The radius of a semicircle is 4 miles. What is the semicircle's area?
adell [148]

Answer:

8\pi miles or 25.133 miles

Step-by-step explanation:

your radius is 4 miles.

The area of a circle is A= \pi r^{2}

Therefore, the area of this circle is 4^{2} \pi, or 16\pi

Half of this area, because what you're looking for is a semi-circle, is:

8\pi (exact) or 25.133 (rounded) miles.

6 0
2 years ago
Question 7.<br> identify the zeros of the graphed function<br> A) -2,2<br> B)-2,0,2<br> C)-2<br> D)2
photoshop1234 [79]

Answer:

-2,0 0,-8 , 2,0 hope that helps

7 0
3 years ago
Find the length of a leg of a right triangle (in inches) if the other leg measures 9 in. and the hypotenuse measures 19 in. Roun
kipiarov [429]

Answer:

a = 16.733

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 9^2 = 19^2

a^2 = 19^2 - 9^2

a^2 = 361-81

a^2 =280

Taking the square root of each side

sqrt(a^2) = sqrt(280)

a = 16.73320053

Rounding to the nearest thousandth

a = 16.733

5 0
3 years ago
The rule below shows how to find the position of an object thrown upward with initial velocity of 15 feet per second. Which answ
nekit [7.7K]

Here we're applying a basic physics rule for vertical motion where the only pull on the object is gravity.


This rule has the form


h(t) = h + v t + (1/2)a*t^2

o o


To adapt this rule to this particular question replace h with 0, as the

o

upward path of the object begins at 0 ft. Replace v with +15 ft/sec.

o


Replace "a" with (-32.2 ft/(sec^2); this is the acceleration due to gravity.


Then we have the following, with the label F(t):


F(t) = 0 + (15 ft/sec)t + (1/2)(-32.2 ft)/(sec^2), or


F(t) = 15t - 16.1t^2. Thus, Choice D is correct.


Please note: To avoid confusion, please use " ^ " to denote exponentiation:


F(t) = -16t^2 + 15t

5 0
3 years ago
Read 2 more answers
Which of the following equations will produce the graph shown below?
melisa1 [442]
The graph is a circle, centered at the origin, with radius=4.

We know that we can write the equation of a circle with radius r and center (a,b) as :

                      (x-a)^2+(y-b)^2=r^2.

Thus, substituting (a, b) with (0, 0) and r with 4, we have:

                      x^2+y^2=16.

The solutions of this equation are all the points forming the circle shown in the picture. The solutions of this equation are still the same even if we multiply both sides of the equation by 2, because rewriting the equation as:

x^2+y^2=16\\\\x^2+y^2-16=0\\\\2(x^2+y^2-16)=0, 

we would still have the same roots.

Thus, the equation of the circle can be written as :

                                    2x^2+2y^2=32.


Answer: B

5 0
3 years ago
Read 2 more answers
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