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AlladinOne [14]
3 years ago
12

Wilma works at a bird sanctuary and stores bird seed into plactic containers. She has 3 small containers that hold 8 pounds of b

ird seed each and 6 large containers that hold 12 pounds of birdseed each. Each container was full untill she used 4 pounds of birdseed. She wants to put some of the remaining birdseed into 30 bird feeders that can hold 2 pounds each. How much birdseed does she have left over? Show the expression you used to find your answer.
Mathematics
1 answer:
Leona [35]3 years ago
4 0

Answer:

32

Step-by-step explanation:

Calculation for how much birdseed does she have left over

First step

(3*8*6*12) - 4-2*30

Second step

=[24+6*(10+2)] - 4-60

Third step

Let remove the bracket of (10+2)

=[24+6*10+6*2] - 4-60

Fourth step

=(24+60+12) - 4-60

Fifth step

=(84+12)-4-60

Sixth step

=96-4-60

Seventh step

=92-60

=32

Therefore the amount of birdseed that she have left over will be 32

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Using figure 3 at the right, AB II CD and t is not perpendicular to them, which pair of angles are not congruent?
coldgirl [10]

Answer:

  ∠5 = 95°

Step-by-step explanation:

Where the transversal crosses parallel lines at some angle not a right angle, all of the acute angles are congruent, and all of the obtuse angles are congruent. The acute angles are (obviously) not congruent with the acute angles. Any acute angle is supplementary to any obtuse angle.

Since angles 5 and 6 are a linear pair, the angle relationships of the parallel lines are irrelevant. A linear pair of angles is supplementary.

  ∠6 = 85° . . . . is given

  ∠5 is shown as obtuse, so its measure is ...

  ∠5 = 180° -85° = 95°

_____

<em>Additional comment</em>

85° angles: 2, 3, 6, 7

95° angles: 1, 4, 5, 8

Any angle from the 85° angle list is <em>not congruent</em> with any angle from the 95° angle list. For example, angles 2 and 5 are not congruent.

7 0
3 years ago
Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
lisabon 2012 [21]

The y-intercept of linear function (f- g)(x) is (0,9)

<h3>How to determine the y-intercept?</h3>

The table of values is given as:

x   -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1

So, we have:

f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15

Evaluate

f(x) = -2x + 3

Also, we have:

g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

Read more about linear functions at:

brainly.com/question/24896196

#SPJ1

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