MATHEMATICS COLLEGE

B) The perimeter of the rectangle below is 42cm. Calculate thelengths of the sides by forming an equation and solving it.

x-2
x + 5

Answers

Answer 1

Answer:

Answer:

L = 14 W = 7

Step-by-step explanation:

2L + 2W = P

2 (x - 2) + 2(x + 5) = 42

2x - 4 + 2x + 10 = 42

4x + 6 = 42

-6. -6

4x = 36

x = 9

9 - 2 = 7

9 + 5 = 14

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If 10 people apply for 3 jobs in how many ways can people be chosen for the jobs. 1. If the jobs are all the same. 2. If the jobs are all different. (please, please show work! Thank you!)

Answers

Answer:

1. 120 ways

2. 720 ways

Step-by-step explanation:

When the order is important, we have a permutation.

When the order is not important, we have a combination.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_((n,x)) = (n!)/((n-x)!)$

Combinations formula:

$C_(n,x)$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_(n,x) = (n!)/(x!(n-x)!)$

1. If the jobs are all the same.

Same jobs means that the order is not important. So

3 from a set of 10.

$C_(10,3) = (10!)/(3!(10-3)!) = 120$

120 ways

2. If the jobs are all different.

DIfferent jobs means that the order matters.

$P_((10,3)) = (10!)/((10-3)!) = 720$

720 ways

Can anyone transform a vertex form equation into a standard form?y= -0.3(x-0)^2+3

If you can show work.

Answers

the standard form of a quadratic is : y = ax² + bx + c : (a ≠ 0 )

note that (x - 0 )² = x²

distributing by - 0.3 gives

y= - 0.3x² + 3 ← in standard form

with a = - 0.3, b = 0 and c = 3

5 Which situation can be modeled by Diagram A andwhich can be modeled by Diagram B?
Diagram A:
Which
addition
models
subtrac
100% of x
1096 10% 10% 10% 10% 1096 1096 1096 1096 1096
80% of x
20% of x
Diagram B:
120% of
10% 10% 1096 1096 10% 10% 10% 10% 10% 1096 10% 10%
100% of x
2096 of x
a.
Your bill at a restaurant is $68 and you want to leave
a 20% tip. What is the total amount you will leave?
b. You buy a sweater that is on sale for 20% off of the
original price. The sweater cost $28. What was the
original price?

Answers

Answer:

Step-by-step explanation:

Given line AB with point P above, Grace was asked to construct a line parallel to line AB. She used her compass and straight edge to draw line PQ parallel to line AB using a transversal line PT. Which statement is true? A) AT = QP B) PR = TB C) ∠PTB = ∠PTA D) ∠SPR = ∠PTB

Answers

The answer is D i took the test

D

The transversal line PT does not bisect either line AB nor QR, so there are no equal line segments. Angles PTB and PTA are complementary, not equal in measure. The true statement is ∠SPR = ∠PTB

There are four shelves of books along a wall in the library. On the top shelf, 16 of the 126 books are checked out. On the second shelf, 8 of the 137 books are checked out. On the bottom shelf, 17 of the 138 books are checked out. How many books are currently on the four shelves?

Answers

1st shelf = 126 - 16 = 110

2nd shelf = 137 - 8 = 129

3rd shelf = Doesn't say

Last shelf = 138 - 17 = 121

Add:

121 + 129 + 110 = 360

I think the answer is 360 but since it doesn't mention anything about the 3rd shelf, I'm not sure.

Hope this helped☺☺

there are currently 360 books on all the shelves

Pls help I will fail 10th grade