A carnival wants to estimate its total potential revenue on popcorn sales. They have 19,717 grams of popcorn kernels, and each serving uses 196 grams. Each serving sells for $5. If they sell all the popcorn, approximately how much potential revenue will the carnival make?(1 point)

Responses

$475
$475

$950
$950

$500
$500

$100

To find the potential revenue, we need to determine how many servings can be made from the given amount of popcorn kernels.

Number of servings = Total amount of popcorn kernels / Amount of popcorn kernels per serving
Number of servings = 19,717 grams / 196 grams = 100 servings

Now, we can calculate the potential revenue by multiplying the number of servings by the price per serving.

Potential revenue = Number of servings * Price per serving
Potential revenue = 100 servings * $5 = $500

Therefore, the carnival has the potential to make $500 in revenue from popcorn sales.

Which of the following answers gives the best estimate for x given the following equation?

−2x+902=1,518

(1 point)
Responses

300
300

−600
negative 600

600
600

−300

To find the value of x in the equation -2x + 902 = 1,518, we need to isolate x by bringing the constant terms to one side and the variable terms to the other side.

Starting with the given equation:
-2x + 902 = 1,518

Subtract 902 from both sides:
-2x = 1,518 - 902
-2x = 616

Divide both sides by -2 to solve for x:
x = 616 / -2
x = -308

Therefore, the best estimate for x is -300, which is the closest answer choice to the solution of x = -308.

There are three petri dishes in a laboratory. The first one contains 22,340 cells, the second contains 43,560 cells, and the last dish contains 36,612 cells. Approximately how many cells are there in total?(1 point)

Responses

10,000
10,000

100,000
100,000

150,000
150,000

1,000,000

To find the total number of cells in the three petri dishes, we need to add the number of cells in each dish.

Total number of cells = number of cells in the first dish + number of cells in the second dish + number of cells in the third dish
Total number of cells = 22,340 + 43,560 + 36,612 = 102,512

Therefore, approximately there are 102,512 cells in total. The closest answer choice to this is 100,000.

Which of the following answers gives the best estimate for x given the following equation?

x/50−94=189

(1 point)
Responses

15,000
15,000

150
150

150,000
150,000

1,500

To find the value of x in the equation x/50 - 94 = 189, we need to isolate x by bringing the constant terms to one side and the variable term to the other side.

Starting with the given equation:
x/50 - 94 = 189

Add 94 to both sides:
x/50 = 189 + 94
x/50 = 283

Multiply both sides by 50:
x = 283 * 50
x = 14,150

Therefore, the best estimate for x is 15,000, which is the closest answer choice to the solution x = 14,150.

A local taqueria sold 11,321 carne asada tacos, 13,132 chicken tacos, and 8,982 carnitas tacos last year. If each taco was sold for $3.89, which value best estimates their total earnings from tacos?(1 point)

Responses

$90,000
$90,000

$160,000
$160,000

$130,000
$130,000

$33,000

To find the total earnings from tacos, we need to calculate the revenue from each type of taco and then sum them up.

Revenue from carne asada tacos = Number of carne asada tacos sold * Price per taco
Revenue from carne asada tacos = 11,321 * $3.89

Revenue from chicken tacos = Number of chicken tacos sold * Price per taco
Revenue from chicken tacos = 13,132 * $3.89

Revenue from carnitas tacos = Number of carnitas tacos sold * Price per taco
Revenue from carnitas tacos = 8,982 * $3.89

Total earnings from tacos = Revenue from carne asada tacos + Revenue from chicken tacos + Revenue from carnitas tacos

Therefore, the answer choice that best estimates their total earnings from tacos is $130,000.

Which of the following answers gives the best estimate for x given the following equation?

21x+1,998=2,243

(1 point)
Responses

10
10

1
1

1,000
1,000

100