Answer:
we conclude that the cost of 100 pencils = $11
Step-by-step explanation:
Brianna can buy 14 pencils for $1.50 at the school store.
so
unit rate = $1.50 / 14 pencils
= 0.11 USD per pencil
Thus,
The cost of 1 pencil = $0.11
The cost of 100 pencils = $0.11 × 100
= $11
Therefore, we conclude that the cost of 100 pencils = $11
Answer:
90
Step-by-step explanation:
1/5x+4=1/3x-8
add 8 to both sides and subtract 1/5x from both sides
4+8=1/3x-1/5x
12=5/15x-3/15x
12=2/15x
divide both sides by 2/15
12÷2/15=x
when dividing by a fraction, invert and multiply
12*15/2=x
90=x
CHECK:
1/5(90)+4=1/3(90)-8
18+4=30-8
22=22
Answer:
t(c) = 3.355
Step-by-step explanation:
We assume a normal distribution, and with sample size n = 9 we should follow a t -student test on both tails since the FDA is interested in determining if the amount of drug absorbed is different from 3.5 micrograms.
Therefore if α = 0,01 that means that confidence interval is 99 % or 0,99
Finally with α/2 = 0,005 and 8 degrees of freedom we find in t-student table t(c) = 3.355
Answer:
Step-by-step explanation:
12x - 3 = 180 - (7x - 26) supplementary angles
19x = 209
x = 11
m∠DEC = 12(11) - 3 = 129°
m∠BCE = 7(11) - 26 = 51°
M∠ADE = 129 - 72 = 57° exterior angle rule
m∠EDB = 180 - 57 = 123° supplementary angles
m∠DBC = 57° corresponding angle to ADE
Answer:
3
Step-by-step explanation:
Get rid of fractions:
Multiply the whole equation, i.e. all terms both sides of the equals sign, by the denominator or the lowest common multiple of all denominators if there are multiple fractions in the equation;
In this case, only one term is a fraction and therefore has a denominator (i.e. 7), so it is this number we multiply the equation by to get:
7(y) = 7(-³/₇.x) + 7(3)
7y = -3x + 21
3x + 7y = 21
