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2 years ago

Evaluate

Mathematics

1 answer:

sineoko [7]2 years ago

3 0

We conclude that the equation evaluated in t = 6 and u = 14 is equal to 412.

<h3>How to evaluate an expression?</h3>

Here we have an expression with two variables, t and u.

6t - 32u

And we want to evaluate it in t = 6 and u = 14.

This means that we need to replace the two variables in the equation by the given numbers, so we replace the "t" with a 6, and the "u" with a 14, doing that we get:

6*6 - 32*14

Now we can solve that:

6*6 - 32*14

36 - 448 = 412

We conclude that the equation evaluated in t = 6 and u = 14 is equal to 412.

If you want to learn more about evaluating expressions:

brainly.com/question/4344214

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3 years ago

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3 years ago

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4 years ago

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svetlana [45]

Answer:

a) The equation (10s + 8w) represents the calories Bridget ate on Monday and the equation (20s + w) represents the calories she ate the next day.

b) The number of calories in each strawberry is 4 and the number of calories in each vanilla wafer cookie is 19. The solution is s= 4 and w = 19.

Step-by-step explanation:

For part A, Bridget ate 10 strawberries and 8 vanilla wafer cookies on Monday. Since the the number of calories in a strawberry is s and the number of calories in a vanilla wafer cookie is w , the number of calories Bridget ate on Monday is 10s + 8w. The next day, Bridget ate 20 strawberries and 1 vanilla wafer cookie. Hence, the number of calories Bridget ate on the next day is 20s + w.

For part B,

we will create two different simultaneous equations.

Equation 1: 10s + 8w = 192

Equation 2: 20s + w = 99

We need to find one of the terms first to solve the other term. For this case, I will solve for w first.

Multiply the first equation by 2.

Equation 3: 20s + 16w = 192*2 = 384.

Now, subtract equation 2 from this new equation.

Equation 4:

(20s + 16w) - (20s + w) = 384 - 99

20s + 16w - 20s - w = 285

15w = 285

This leaves only w left and we can solve w.

w = 285 / 15 = 19

Now, we can solve for s using equation 2.

20s + 19 = 99

20s = 99-19 = 80

Hence,

s = 80/20 = 4

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3 years ago