Dan was thinking of a number. Dan halves the number and gets an answer of 18.8. Form an
equation with 2 from the information.

Answer:

the common ratio is 0.98.

Step-by-step explanation:

A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.

The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%

Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,

98% = [tex]\frac{98}{100}=0.98[/tex]

Therefore, the common ratio or decay factor is 0.98.

Answer:

D. .98

Step-by-step explanation:

Just got it right on the test

Answer:6.25

Step-by-step explanation:divide 75 of 300

Answer:

210

Step-by-step explanation:

70% of 300

70%= 0.7

0.7*300

=210

Answer:

i think b

Step-by-step explanation:

tell me if im wrong

Amelie needs [tex]\( 28\frac{1}{4} \)[/tex] cups of flour for her recipe.

Amelie's recipe uses [tex]\( \frac{1}{4} \)[/tex] cups of flour and she's making [tex]\( 2\frac{1}{2} \)[/tex]times the original recipe. To find the total amount of flour needed, we multiply the two quantities:

1. Original Quantity of Flour: [tex]\( \frac{1}{4} \)[/tex] cups

2.Multiply by the Recipe Multiplier: [tex]\( 2\frac{1}{2} \times \frac{1}{4} \)[/tex]

3.Convert Mixed Number to Improper Fraction: [tex]\( 2\frac{1}{2} = \frac{5}{2} \)[/tex]

4. Perform the Multiplication:

 [tex]\[ \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} \][/tex]

Since Amelie is using [tex]\( \frac{5}{8} \)[/tex] of the grid and each square represents 1 cup, we can calculate the total cups by multiplying the number of squares in the grid by [tex]\( \frac{5}{8} \)[/tex]:

5.Total Squares in the Grid: [tex]\( 8 \times 4 = 32 \)[/tex]

6.Total Flour Needed:

[tex]\[ 32 \times \frac{5}{8} = 4 \times 5 = 20 \text{ cups} \][/tex]

However, since the grid seems to represent a multiplication model for the entire recipe amount, and we've been given that she's using[tex]\( 1\frac{3}{4} \)[/tex]  cups and multiplying it by [tex]\( 2\frac{1}{2} \)[/tex], we should calculate as follows:

1. Convert [tex]\( 1\frac{3}{4} \)[/tex] cups to an improper fraction: [tex]\( \frac{7}{4} \)[/tex] cups.

2. Multiply[tex]\( \frac{7}{4} \) by \( 2\frac{1}{2} \)[/tex] (which is [tex]\( \frac{5}{2} \)[/tex] as an improper fraction):

 [tex]\[ \frac{7}{4} \times \frac{5}{2} = \frac{35}{8} \][/tex]

3. Convert \( \frac{35}{8} \) to a mixed number:

 [tex]\[ \frac{35}{8} = 4\frac{3}{8} \text{ cups} \][/tex]

Looking at the model provided, the total grid represents[tex]\( 2\frac{1}{2} \)[/tex]times the original recipe, which is [tex]\( 1\frac{3}{4} \)[/tex] cups of flour. The full grid has [tex]\( 8 \times 4 = 32 \)[/tex]squares, where each square represents [tex]\( \frac{1}{4} \)[/tex] cup of flour, giving us a total of 8 cups represented by the full grid. Since we want [tex]\( 2\frac{1}{2} \) or \( \frac{5}{2} \)[/tex] of this grid, we multiply:

[tex]\[ \text{Total flour} = 8 \times \frac{5}{2} = 4 \times 5 = 20 \text{ cups} \][/tex]

However, the discrepancy arises because the image shows a grid that is partially shaded, suggesting that we're looking at a portion of the full recipe's flour amount. Without clear visibility or description of the image, the precise interpretation of the grid is ambiguous.

Given this, the correct interpretation based on the model provided would be to calculate as follows:

[tex]\[ \frac{32}{4} \times \frac{5}{2} = 8 \times \frac{5}{2} = 20 \text{ cups} \][/tex]

If the grid is fully shaded, which means the entire grid is being used to represent the amount of flour, then Amelie needs 20 cups of flour for her recipe. If the grid is partially shaded and we are to use the fraction[tex]\( \frac{35}{8} \) (or \( 4\frac{3}{8} \) cups)[/tex] from the shaded portion, then the amount of flour needed would be [tex]\( 4\frac{3}{8} \)[/tex] cups. The mixed number in simplest form for the latter calculation would be [tex]\( 4\frac{3}{8} \)[/tex] cups.

complete question given below:

Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.Amelie draws this model to represent the number of cups of flour she needs.How many cups of flour does Amelie need?Enter your answer as a mixed number in simplest form by filling in the boxes.