1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valentina_108 [34]
3 years ago
13

Dakota mixes two cereals for breakfast. One gram of cereal A has 6 milligrams of sodium and 7 calories. One gram of cereal B has

8 milligrams of sodium and 5 calories. She wants the bowl of cereal to contain no more than 200 milligrams of sodium and 150 calories. Let "a" equal the number of grams of cereal A and "b" equal the number of grams in cereal B, where are "a" > 0 and "b" > 0. Which system of inequalities represents the possible ways Dakota can mix the cereals.
Mathematics
1 answer:
likoan [24]3 years ago
5 0

Number of grams of cereal A = a

Number of grams of cereal B = b

One gram of Cereal A has: 6 mg of sodium and 7 calories

One gram of Cereal A has: 8 mg of sodium and 5 calories

We need to make sure that the cereal contains maximum 200 mg sodium

⇒ Number of grams of cereal A × Sodium quantity in a gram of cereal A + Number of grams of cereal B × Sodium quantity in a gram of cereal B <= 200 mg

Substituting the required values

⇒ a×6 + b×8 <=200

Further simplifying the above equation

⇒ a×3 + b×4 <=100

Further, we need to make sure that the cereal contains maximum 150 calories

⇒ Number of grams of cereal A × Calories in a gram of cereal A + Number of grams of cereal B × Calories in a gram of cereal B <= 150

⇒ a×7 + b×5 <=150

Hence, the system of inequalities that represents the possible mix is:

a×3 + b×4 <=100 AND a×7 + b×5 <=150

You might be interested in
Hree students were working on 630,000÷700 in math class.
xz_007 [3.2K]

Answer:

900

Step-by-step explanation:

900 is the answer i think so

4 0
2 years ago
Read 2 more answers
Help plz I really need help thx
blondinia [14]
D. 133*1.285=171 pennies in the jar
7 0
3 years ago
Read 2 more answers
(BRIANLEIST) HELP<br> True or False
viktelen [127]

Answer:

True

Step-by-step explanation:

5 0
3 years ago
‼️10 points‼️
Tamiku [17]

Answer:

<h3>The answer is option D.</h3>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

Slope of the line using points ( 5 , - 1) and

( - 5 , 2) is

m = 2+1/ -5-5 = - 3 / 10

Equation of the line using point ( 5 , - 1) is

y + 1 = -3/10(x - 5)

y = -3/10x + 3/2 - 1

The final answer is

<h3>y = - 3/10x + 1/2</h3>

Hope this helps you.

4 0
3 years ago
And employer does not on sales commission for the first $1000 of sales returns 15% sales commission on all sales made there afte
andreyandreev [35.5K]

Answer:

$600 in commission for the week paying 15% on up to $1000 daily

Step-by-step explanation:

To find the sales commission, multiply the percentage 15% as 0.15 against each sales up to $1000.

Monday - 0.15 (800) = $120

Tuesday - 0.15 (600) = $90

Wednesday - 0.15 (1000) = $150

Thursday - 0.15 (800) = $120

Friday - 0.15 (800) = $120

In total that's, $600 in commission.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Janna jumped 156 inches in the long jum competition how many feet did Janna jump
    8·1 answer
  • What is the product? (9t − 4)(−9t − 4) −81t2 − 16 −81t2 + 16 −81t2 − 72t + 16 −81t2 + 72t + 16
    12·2 answers
  • The low temperatures in Detroit for six days in February were -7?C, -3?C, 0?C, 2?C, -3?C, and 5?C. What was the average low temp
    13·1 answer
  • 33 1/3% of what number is 21
    8·2 answers
  • What is the measurement of angle X​
    12·2 answers
  • The diameter is 2 1/3 kilometers. What is the circumference?
    13·1 answer
  • 40 points please help me due in 50 minutes!
    14·1 answer
  • The graphic shows the 108 students
    6·1 answer
  • There are 59 counters in a bag. 20 of the counters are green. The rest of the counters are yellow. One of the counters is taken
    8·1 answer
  • Write a verbal expression to represent the given equation,<br> X - 25 = 3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!