<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
:
If the perimeter is 40, find the dimensions of the rectangle.
:
We know: 2L + 2W = 40
:
Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
:
6x - 8 + 2x = 40; Multiplied what's inside the brackets
:
6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)
:
8x = 48
:
x = 48/8
:
x = 6 which is the width
:
It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
Answer:
8 points
Step-by-step explanation:
Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:
0: 3 lost
1: 2 lost, 1 tied
2: 2 tied, 1 lost
3: 3 tied
4: 1 won, 1 lost, 1 tied
5: 1 won, 2 tied
6: 2 won, 1 lost
7: 2 won, 1 tied
9: 3 won
Answer:
0.0010,0.2743
Step-by-step explanation:
Given that Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 15
If x represents the scores then
X is N(100,15)
a) See enclosed file
b) Z score =
c) the probability that a randomly selected person has an IQ test score
i. Over 145.
=
ii. Under 91
=
Answer:
Step-by-step explanation:
4(x+5) = 9x + 4x - 34
distributive:
4x + 20 = 9x + 4x - 34
combine
4x + 20 = 13x - 34
subtraction
20 = 9x - 34
addition
54 = 9x
division
6 = x
