Answer:
Length = 34
Step-by-step explanation:
Perimeter of rectangle = a+a+b+b = 2(a+b)
Let a = length = 2b - 4
Let b = width
Therefore
(2b-4) + (2b-4) + b + b = 106 cm
Bracket off
2b-4+2b-4+b+b = 106cm
Collect like terms
2b+2b+b+b-4-4 = 106cm
6b-8 = 106
6b = 106+8
6b = 114
b = 114÷6
b = 19
To get a
2b - 4
2(19) - 4
38-4
= 34
127 = 100 +27
32 = 30 +2
so 127 x 32 = (100 + 27) x (30+2) = (100x30) + (100x2) + (27x30) +(27x2)
= 3000+200+810+54 = 4064
second way:
127 = 100 + 27
127 x 32 = (100+27) x 32 = (100x 32) + ( 27x32) = 3200 + 864 = 4064
Answer: no
Step-by-step explanation:
To compare ratios, you need to have a common second number. By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio.
Answer:
30 gram doses
Step-by-step explanation:
First, turn the fractions into decimals.
1/4 gram to .25 gram
7 1/2 gram to 7.5 gram
Then, divide 7.5 total grams by the .25 grams for each dose.
7.5/.25 = 30
Therefore, you can obtain 30 1/4 gram doses from a 7 1/2 gram vial of medication.
Answer:y = 3x/4 + 17/4
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
From the information given,
y2 = 5
y1 = 2
x2 = 1
x1 = - 3
Slope, m = (5 - 2)/(1 - - 3) = 3/4
To dedetermine the intercept c, we would substitute m = 3/4, x = 1 and y = 5 into y = mx + c, it becomes
5 = 3/4 × 1 + c
5 = 3/4 + c
c = 5 - 3/4 = 17/4
The equation becomes
y = 3x/4 + 17/4
