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Mumz [18]
3 years ago
6

The biology faculty at a college consists of 9 full professors, 14 associate professors, 13 assistant professors, and 4 instruct

ors. if one faculty member is randomly selected, find the probability of choosing a full professor or an instructor
Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0
32 total
9/32 -professor
9/32 -instructor
9/32+9/32=18/32=9/16
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Change 1.77 tones to kilograms
lozanna [386]

Answer:

1770

Step-by-step explanation:

multiply the mass value by 1000

that is the easy way

5 0
2 years ago
Scott burned 20 calories per minute jogging for x minutes and 5 calories per minute for biking for y minutes. He spent a total o
stiv31 [10]

Answer:

x = 112

Step-by-step explanation:

We can create two equations 1. one that calculates calories burned and 2.another that calculates minutes:

20*x + 5*y = 1200

x + y = 120

Then we can solve for x

x = 120 - y

then we can plug that into the top equation:

20(120 - y) + 5y = 1200

divide by 5:

4(120 - y) + y = 240

distribute:

480 - 4y + y = 240

and then do all that combining like factors what not and simplify and solve:

480 - 3y = 240

-3y = -240

y = 8

NOW WE CAN JUST PLUG IN THE ANSWER FOR Y TO FIND X

8+x =120

x = 112

7 0
3 years ago
Which of the following is not part of the Triangle Proportionality Theorem?
natka813 [3]

Answer:

A. AA Similarity Theorem  . True

B. Two sides divided proportionally. True

C. A parallel line to one side of a triangle.  True

D. A perpendicular line to one side of a triangle. False

Step-by-step explanation:

The Triangle Proportionality Theorem says that if a line is parallel to one side of a triangle, then it splits the other two sides into proportional sections.

Now, here the given statements are:

<u>A. AA Similarity Theorem </u>

TRUE, as the angles opposite to equal sides are equal.

And if lines are divided proportionally, both the triangles are Similar by AA similarity theorem.

<u>B. Two sides divided proportionally. </u>

TRUE,as the other two sides of the triangle are divided proportionally by the parallel line.

<u>C. A parallel line to one side of a triangle. </u>

TRUE, as the parallel line divides the other two  non- parallel sides in equal proportions.

<u>D. A perpendicular line to one side of a triangle.</u>

FALSE, this part is not required anywhere in the given theorem result.

3 0
3 years ago
Hello, I really struggle with math and I was wondering if you could help me with the following problem please? It will be much a
xz_007 [3.2K]

Answer:

x=7

Step-by-step explanation:

Simplifying

3x + 2(4 + 6x) = 113

3x + (4 * 2 + 6x * 2) = 113

3x + (8 + 12x) = 113

Reorder the terms:

8 + 3x + 12x = 113

Combine like terms: 3x + 12x = 15x

8 + 15x = 113

Solving

8 + 15x = 113

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 15x = 113 + -8

Combine like terms: 8 + -8 = 0

0 + 15x = 113 + -8

15x = 113 + -8

Combine like terms: 113 + -8 = 105

15x = 105

Divide each side by '15'.

x = 7

Simplifying

x = 7

5 0
2 years ago
Read 2 more answers
Please help me answer this question.
pogonyaev

Answer: 5 miles

Step-by-step explanation:

5 0
3 years ago
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