11x represents the fiction
X represents the nonfiction book
11x+x=312
12x=312
Divide both by 12
X=26
To find the fiction you have to do 11 times 26
11•26=286
To check the answer you add 286 and 26
If it adds up to 312 the answer is correct
Answer:
y = x + 8
Step-by-step explanation:
(x² + 6x - 9)/(x - 2)
[x² - 2x + 8x - 16 + 7]/(x - 2)
[x(x - 2) + 8(x - 2) + 7]/(x - 2)
x + 8 + 7/(x - 2)
Oblique asymptote: y = x + 8
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
Answer:
x = 13
Step-by-step explanation:
The tirangle ABC is given as equilateral. Every angle is therefore =. Not only that, each angle is 60 degrees.
If you need proof of that, remember that x + x + x = 180. Every triangle has 180 degrees.
if 3x = 180 then 1 x is 60
8x - 44 = 60 Add 44 to both sides.
8x = 60 + 44
8x = 104 Divide by 8
x = 104/8
x = 13
Answer:
5/100 = 0.056 sales tax
$12+$26+$125 = $163 total purchase without tax
163*0.056 = 9.128 tax based on how much she bought
$163 + 9.128 = $172.128 total amount she paid (b)
