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wolverine [178]
2 years ago
7

Four glasses of milk and 3 snack bars have a total of 82 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have a to

tal of 76 carbs. Determine how
many carbs are in one glass of milk and in one snack bar.
Mathematics
1 answer:
vredina [299]2 years ago
3 0

Answer:

  • milk: 10 carbs
  • snack bar: 14 carbs

Step-by-step explanation:

Let m and s represent the carbs in the milk and snack bar, respectively. The given relations are ...

  4m +3s = 82

  2m +4s = 76

Subtracting the first equation from twice the second gives ...

  2(2m +4s) -(4m +3s) = 2(76) -(82)

  5s = 70 . . . . . . . simplify

  s = 14 . . . . . . . divide by 5

We substitute this into the second equation to find m.

  2m +4(14) = 76

  m +28 = 38 . . . . divide by 2

  m = 10 . . . . . . subtract 28

There are 10 carbs in a glass of milk; 14 carbs in a snack bar.

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Karolina [17]

Answer:

- 2x² + 2x + 11

Step-by-step explanation:

Given

x² + 6 - (3x² - 2x - 5) ← distribute parenthesis by - 1

= x² + 6 - 3x² + 2x + 5 ← collect like terms

= - 2x² + 2x + 11

4 0
3 years ago
Read 2 more answers
single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec
givi [52]

Answer:

\frac{1}{4}

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

a) Rolling an Odd number in first throw

A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

So, total number of possible outcomes = 6

Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = \frac{3}{6} = \frac{1}{2}

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 =  \frac{3}{6} = \frac{1}{2}

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}

6 0
3 years ago
What is the equation for each line?​
galina1969 [7]
Red: y= 2x
Black: y= 2x
Yellow: y= -3x
Green: zero slope
Blue: undefined slope
8 0
3 years ago
Please help with number one.
jek_recluse [69]

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3 0
3 years ago
A rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal lin
Dimas [21]

Answer:

119 or 118.726577

Step-by-step explanation:

We should use the Pythagorean Theorem to solve this problem.

a^2+ b^2=c^2

64^2+100^2=c^2

4096+10000=14096

c^2=14096

c=\sqrt{14096}14096

And the root of 14096 is 118.726577.

So the Answer is About 119 meters, or 118.726577

hope this helps!

3 0
2 years ago
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