Achef uses a recipe with the following ingredients. then the chef decides to make more than 1 batch of the recipe. fruit cups used apples 3 mangoes 1 blueberries 2 blackberries 1 if a total of 16 cups of apples and blackberries are used, how many batches of the recipe did the chef make? 2 batches 4 batches 6 batches 8 batches

4 batches

Step-by-step explanation:

Let

x > the number of cups of apples

y > the number of cups of mangoes

z > the number of cups of Blueberries

w > the number of cups of Blackberries

we know that

x/y=3/1 > equation A

x/z=3/2 > equation B

x/w=3/1 > equation C

x+w=16 > equation D

Solve the system of equations C and D

x=3w > equation C

x+w=16 > equation D

Substitute equation C in equation d and solve for w

3w+w=16

4w=16

w=4 cups of Blackberries

Remember that

For 1 batch of the recipe are used 1 cup of Blackberries

so

For 4 cups of Blackberries

The number of batches are

(1)*4=4 batches

2500

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: