At a supermarket, the price of a Thanksgiving turkey is determined by how many pounds the turkey weighs. The price of a 12.4 pound turkey is $15.50. Write an equation that can be used to determine the price, p, in dollars, of any turkey based on the number of pounds, t, the turkey weighs. Explain the process you used to determine the equation.

Answers

Answer 1

Answer:

Answer:

The expression is: $p = 1.25*t$

Step-by-step explanation:

Since the price is determined by the weight of the turkey, we need to find the value of one pound in order to create the expression, to do that we will apply the point given.

$\text{price per pound} = \frac{\text{price}}{\text{weight}}\n\text{price per pound} = (15.5)/(12.4) = 1.25$

Each pound costs $1.25, therefore the expression used to calculate the price of the turkey must be the weight of the turkey in pounds multiplied by the price of each pound.:

$p = 1.25*t$

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Benito had 10 days of vacation. he spent 1/5 of his vacation fishing. he spent 30% of his vacation at soccer camp. he spent the rest of the time at the beach. what percent of his vacation did benito spend at the beach?

Answers

50 percent of his vacation

Which of the following exponential functions goes through the points (1, 12) and (2, 36)?f(x) = 4(3)−x
f(x) = 3(4)−x
f(x) = 3(4)x
f(x) = 4(3)x

Answers

Its f(x) = 4(3)^x
As (x=1, y=12), you insert 1 into the variable and its from, 4 x (3)^1 = 12. Same as (x=2, y=36), it becomes 4 x (3)^2 = 36.

Answer:

$f(x)=4(3^x)$

Step-by-step explanation:

Let's evaluate the functions for every given point, so, we can conclude which of them satisfy the conditions. But first, keep in mind the following:

$a^(-n)=(1)/(a^n)$

First function:

$f(x)=4(3^(-x) )=(4)/(3^x)$

For the point (1,12)

$f(1)=(4)/(3^1) =(4)/(3) \neq12$

This function doesn't satisfy one of the conditions.

Second function:

$f(x)=3(4^(-x) )=(3)/(4^x)$

For the point (1,12)

$f(1)=(3)/(4^1) =(3)/(4) \neq12$

This function doesn't satisfy one of the conditions.

Third function:

$f(x)=3(4^x)$

For the point (1,12)

$f(1)=3(4^1)=3*4=12$

For the point (2,36)

$f(2)=3(4^2)=3*16=48\neq36$

This function doesn't satisfy one of the conditions.

Fourth function:

$f(x)=4(3^x)$

For the point (1,12)

$f(1)=4(3^1)=4*3=12$

For the point (2,36)

$f(2)=4(3^2)=4*9=36$

This function satisfies all conditions.

Therefore, since the fourth function satisfies all conditions, we can conclude it is the function which goes through the points (1, 12) and (2, 36)

2m-7greater than or equal to 13-2m

Answers

$2m-7 \geq 13-2m \ \ |+2m\n \n 2m+2m-7 \geq 13-2m+2m \n \n4m-7\geq 13 \ \ |+7 \n \n4m-7 +7\geq 13+7\n \n4m\geq 20 \ \ / :4 \n \n (4)/(4)\cdot m\geq (20 )/(4)\n \nm\geq 5$

Solve each system of equations using substitution. Show all work.1) x + y = 1
2x - y = -2

2) 5x - 3y = -11
x - 2y = 2

3) x - y = 3
6x + 4y = 13

Answers

it would be so much easier with elimination but ok
1.
x+y=1
minus x
y=1-x
sub
2x-(x-1)=-2
2x-x+1=-2
x+1=-2
x=-3
sub
y=1-x
y=1-(-3)
y=1+3
y=4
(-3,4)

2.
x-2y=2
add 2y
x=2y+2
sub
5(2y+2)-3y=-11
10y+10-3y=-11
7y+10=-11
7y=-21
y=-3
sub
x=2y+2
x=2(-3)+2
x=-6+2
x=-4
(-3,-4)

3.
x-y=3
add y
x=y+3
sub
6(y+3)+4y=13
6y+18+4y=13
10y+18=13
10y=-5
y=-1/2
sub
x=y+3
x=-1/2+3
x=5/2

(5/2,-1/2)

1. (-3,4)
2. (-3,-4)
3.(5/2,-1/2)

Natalie charges $1490 per month to rent each of her three rental houses. Natalie must pay $5850 in maintenance cots per house per year. If all three houses are occupied, how much money will Natalie earn over seven years?

Answers

3(1490) = 4470 per month for rent she collects...4470(12) = 53640 per yr
3(5850) = 17550 per year she pays in maintenance cost

over 7 yrs...
53640(7) - 17550(7) = 375480 - 122850 = 252630 <== what she earned

The length of a rectangle is 4 more than 3 the width. If the perimeter of the rectangle is 18.4 cm, what is the area of the rectangle?

Answers

im assuming you mean 4 more than 3 times the width so we'll make the width x and the length 3x + 4
perimeter is all of the sides added together so our equation is 2(x) + 2 (3x + 4) because there are two sides for length and two for width. we expand this equation to: 2x + 6x + 8 which equals 8x + 8. this is equal to 18.4 so 8x + 8 = 18.4
subtract each side by 8: 8x = 10.4
divide each side by 8: x = 1.3
if x = 1.3 then the width = 1.3
if the width = 1.3 then the length = 7.9 because 3(1.3) + 4 = 7.9
area is length times width so 1.3 x 7.9 = 10.27
The area is equal to: 10.27

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