Ratio given 1:2
Let's suppose the ratio as x : 2x
Adding the ratio = 3x


40 and 80 are in the ratio 1:2 of 120.
Hope it helps!!!
Answer:
9 a (5 x^2 + 3 x + 2)
Step-by-step explanation:
Simplify the following:
45 a x^2 + 27 a x + 18 a
Factor 9 a out of 45 a x^2 + 27 a x + 18 a:
Answer: 9 a (5 x^2 + 3 x + 2)
Answer:
c (0,-4)
Step-by-step explanation:
-5x+y = -4
4x - 4y =16
Solve the first equation for y since we are using substitution.
-5x+y = -4
Add 5x to each side
-5x+5x+y = -4+5x
y = 5x-4
Substitute this equation y = 5x-4 into the second equation.
4x -4(5x-4) = 16
Distribute the -4
4x - 4(5x) -4(-4) = 16
4x-20x +16 = 16
Combine like terms
-16x +16 =16
Subtract 16 from each side
-16x+16-16 = 16-16
-16x =0
Divide by -16
x=0
But we still need to find y
y = 5x-4
y = 5(0) -4
y = -4

By taking <span>logarithmic of base 10
∴ </span><span>

∴ x log 4 = log 64
∴

note: we don't need to write the base in case of the base =10
∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>
prime1
/prīm/
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adjective
1.
of first importance; main.
"her prime concern is the well-being of the patient"
Similar:
main
chief
key
primary
central
principal
foremost
first
most important
paramount
major
dominant
supreme
overriding
cardinal
preeminent
ultimate
number-one
fundamental
basic
essential
elemental
vital
Opposite:
secondary
subordinate
2.
of the best possible quality; excellent.
"prime cuts of meat"
Similar:
top-quality
highest quality
top
top-tier
best
first-class
first-rate
high-grade
grade A
superior
supreme
flawless
choice
select
finest
superlative
peak
optimal
model
excellent
marvelous
magnificent
superb
fine
wonderful
exceptional
formidable
top of the range
top of the line
tip-top
A1
stellar
top-notch
Opposite:
inferior
noun
1.
a state or time of greatest strength, vigor, or success in a person's life.
"you're in the prime of life"
Similar:
heyday
best days/years
day
time
prime of one's life
maturity
youth
springtime
salad days
bloom
flowering
full flowering
perfection
peak
pinnacle
height
high point/spot
zenith
ascendancy
2.
CHRISTIAN CHURCH
a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.prime1
/prīm/
Learn to pronounce
See definitions in:
All
Mathematics
Religion
Printing
Fencing
Weapons
Building
Mechanics
Motoring
Biochemistry
adjective
1.
of first importance; main.
"her prime concern is the well-being of the patient"
Similar:
main
chief
key
primary
central
principal
foremost
first
most important
paramount
major
dominant
supreme
overriding
cardinal
preeminent
ultimate
number-one
fundamental
basic
essential
elemental
vital
Opposite:
secondary
subordinate
2.
of the best possible quality; excellent.
"prime cuts of meat"
Similar:
top-quality
highest quality
top
top-tier
best
first-class
first-rate
high-grade
grade A
CHRISTIAN CHURCH
a service forming part of the Divine Office, traditionally said (or chanted) at the first hour of the day (i.e., 6 a.m.), but now little used.