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xz_007 [3.2K]
2 years ago
9

The box plot shows the calorie count in a few meals from a fast food chain. What is the largest number of calories in a meal?

Mathematics
1 answer:
Ghella [55]2 years ago
3 0
520 calories explanation= I did the math
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The graph of r = -10 cos θ has which of the following characteristics?
Ronch [10]

Step-by-step explanation:

If we convert

r =  - 10 \cos(x)

to a Cartesian equation,

{r}^{2}  =  - 10 r \: \cos(x)

{x}^{2}  +  {y}^{2}  =  - 10x

{x}^{2}  + 10x +  {y}^{2}  = 0

{x}^{2}  + 10x + 25 +  {y}^{2}  = 25

(x + 5) {}^{2}  +  {y}^{2}  = 25

So we have a circle with center (-5,0), with a diameter of 10.

8 0
2 years ago
The sides of a right triangle have a relationship as depicted below, where x is the length of the longer leg in inches.
Ratling [72]
The equation to represent the area of the triangle would be:
y = 1/2(x²) - (7/2)x

The equation to represent the perimeter of the triangle would be:
y = 3x - 6

The solutions to the system would be (12, 30) or (1, -3).  The only viable solution is (12, 30).

Explanation
The area of a triangle is found using the formula
A = 1/2bh

For our triangle, b = x and h = x-7, so we have:
A = 1/2(x)(x-7)
A = 1/2(x²-7x)
A = 1/2(x²) - (7/2)x

We will replace A with y, so we have:
y = 1/2(x²) - (7/2)x

The perimeter of a triangle is found by adding together all sides, so we have:
P = (x-7) + x + (x+1)

Combining like terms we get:
P = 3x - 6

We will replace P with y, so we have:
y = 3x - 6

Since both equations have y isolated on one side, it will be easy to use substitution to solve the system:

3x - 6 = 1/2(x²) - (7/2)x

It's easier to work with whole numbers, so we will multiply everything by 2:
6x - 12 = x² - 7x

We want all of the variables on one side, so we will subtract 6x:
6x - 12 - 6x = x² - 7x - 6x
-12 = x² - 13x

When solving quadratics, we want the equation equal to 0, so we will add 12:
-12+12 = x² - 13x + 12
0 = x² - 13x + 12

This is easy to factor, as there are factors of 12 that sum to -13; -12(-1) = 12 and -12+-1 = -13:
0 = (x-12)(x-1)

Using the zero product property, we know that either x-12=0 or x-1=0; therefore x=12 or x=1.

Putting these back into our equation for perimeter (the simplest one) we have:
y = 3(12)-6 = 36-6 = 30; (12, 30);
y = 3(1) - 6 = 3 - 6 = -3; (1, -3)

We cannot have a negative perimeter, so the only viable solution is (12, 30).
8 0
2 years ago
Wich situation leads to a unit cost of 4$ per hat A. 4 hats for 24 B.12 hats for 48$ C. $6 paid for 2 hats D.4 paid for 4 hats
attashe74 [19]

Answer:

D.$4 paid for 4 hats

Step-by-step explanation:

What is unit cost?

unit cost can be defined as the amount paid for a unit quantity of a product

From the given options

only options D represents unit cost

the reason is because $4 was paid for 4 hats

it clearly shows that 1 hat cost $1

6 0
3 years ago
In which quadrant of the coordinate graph does point R lie?
Sergio [31]
Your answer is d Its on the fourth quadrant! that Is really easy!
5 0
3 years ago
Read 2 more answers
Pls help! Will give brainliest
mariarad [96]
First is -1 and 4, second should be no solution and the third is 2 and 6
5 0
3 years ago
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