Since
3
x
2
a
,
3
x
a
2
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
3
x
2
a
,
3
x
a
2
:
1. Find the GCF for the numerical part
3
,
3
2. Find the GCF for the variable part
x
2
,
a
1
,
x
1
,
a
2
3. Multiply the values together
Find the common factors for the numerical part:
3
,
3
The factors for
3
are
1
,
3
.
Tap for more steps...
1
,
3
The factors for
3
are
1
,
3
.
Tap for more steps...
1
,
3
List all the factors for
3
,
3
to find the common factors.
3
:
1
,
3
3
:
1
,
3
The common factors for
3
,
3
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
x
2
,
a
,
x
,
a
2
The factors for
x
2
are
x
⋅
x
.
x
⋅
x
The factor for
a
1
is
a
itself.
a
The factor for
x
1
is
x
itself.
x
The factors for
a
2
are
a
⋅
a
.
a
⋅
a
List all the factors for
x
2
,
a
1
,
x
1
,
a
2
to find the common factors.
x
2
=
x
⋅
x
a
1
=
a
x
1
=
x
a
2
=
a
⋅
a
The common factors for the variables
x
2
,
a
1
,
x
1
,
a
2
are
x
⋅
a
.
x
⋅
a
The GCF for the variable part is
x
a
.
GCF
Variable
=
x
a
Multiply the GCF of the numerical part
3
and the GCF of the variable part
x
a
.
3
x
a
Answer: 3xa
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor
Casey's drill team squad was responsible for painting props for a performance at a band contest. The squad painted 18 props in 90 minutes. If they continued painting at this rate, how many props would they paint in 3 hours?
Answer: They would paint 36 props in 3 hours.
Step-by-step explanation:
Given: The squad painted 18 props in 90 minutes.
Time taken to paint each prop = [tex]\dfrac{90\text{ minutes}}{18}[/tex]
= 5 minutes
Now, 1 hour = 60 minutes
3 hours = 3 x 60 minute = 180 minutes
Total props painted in 3 hours = (180 )÷5
= 36
Hence, with same rate , they would paint 36 props in 3 hours.
Gabby left the mall and drove north. Violet left 3 hours later, driving 36 mph faster to catch up with Gabby. After 2 hours, she caught up with Gabby. Find Gabby’s average speed.
28 mph
72 mph
24 mph
60 mph
Answer:
24mph
Step-by-step explanation:
24 mph times 5 hours = 120 miles
24 mph + 36 mph = 60 mph
60 mph × 2 hours = 120 miles
Rodrigo is buying snacks for a party he bought 2 1/5 pounds of mixed nuts
Answer:
She spends about 12.45 on the nuts.
Step-by-step explanation:
2/3(7.50)+1/2(2.40)+1 1/4(5.00)
Answer:
4.75
Step-by-step explanation:
2 1/5= 11/5= 2.2 pounds
10.45 / 2.2 = $4.75
A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.
Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Which two ratios form a proprtion?
A) 6/9 and 3/1
B) 6/9 and 1/3
C) 6/9 and 2/3
D) G/9 and 3/2
Apply the distributive property to create a equivalent expression 1/2 (6e - 3f - 3/4) =
Answer:
it should be 3e-3/2f=3/8
Step-by-step explanation:
you will multiply 1/2 to everything in the parenthesis
PLS HELP ill give brainliest im really stuck and its DUE SOON
Answer:
B
Step-by-step explanation:
The position of county commissioner was added in what year? 1865 1777 1733 1868
Answer:
1868 is the answer your looking for
Step-by-step explanation:
Answer:
1868
In 1868, the position of county commissioner was added to the elected officials of a county.
13x + 2 = 41
List the steps to fom 13x + 2
Answer: 13x + 2 = 41 = 3
Step-by-step explanation:
Step 1: Subtract 2 from both sides.
13x+2−2=41−2
13x=39
Step 2: Divide both sides by 13.
13x
13
=
39
13
x=3
4x - x, for x=2 WHATS THE ANSWER
Helppppppppppppppppppppp due in 2hrs
plz watch for more questions
the 2nd pic has the 2 options plz have an explanation
Answer:
B. 20 = 2g
Step-by-step explanation:
What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.
Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.
v / -0.8 +14=39 plssss help this is literally so hard
______________________________
1.) Subtract 14 from both sides:[tex]14-14=[/tex] Cancels Out[tex]39-14=25[/tex]- We do this because we have to get 2 variables/numbers on each side of the equals, and the only way to do so is to cancels other numbers out by doing the opposite of what we see.
Equation at the end of Step 1:
[tex]v[/tex] ÷ [tex]-0.8=25[/tex]2.) Multiply both sides by −0.8:[tex]-0.8[/tex] × [tex]-0.8=[/tex] Cancels Out[tex]25[/tex] × [tex]-0.8=-20[/tex]______________________________
HELPPPPP PLEASEEEE!!!!
Answer:
pretty sure x is 60 because 60+25 is 80 and its the same as N so 80
Step-by-step explanation:
Seahorses change color and swim together in predetermined ways before mating. These behaviors are called
A. asexual reproduction.
B. sexual reproduction.
C. courtship rituals.
D. budding.
How many terms are there in the following expression:
3x + 2y + 8 - x +7y
there are terms in the expression.
X+4²=2 answer plz plz
Answer:
Step-by-step explanation:
Here you go mate
Step 1
X+4²=2 Equation
Step 2
X+4²=2 4x4
x+4^2=2
Step 3
x+4^2=2 subtract 4^2
answer
x=-14
hope this helps
PLEASE HELP IM NOT GOOD AT MATH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jimmy was walking to get the mail; at which time he fell into a hole and broke his ankle. He has a PPO insurance plan. His total bill was $2,000. If Jimmy has a $1,000 deductible with an 80/20% co-insurance, how much total will Jimmy have to pay out of pocket? Show your work.
Answer: $200
Step-by-step explanation:
Since there is a deductible here, you deduct it from the total bill first:
= 2,000 - 1,000
= $1,000
With an 80/20% coinsurance plan, you will pay for 20% of this bill and your insurance company will pay 80%.
You will therefore pay:
= 1,000 * 20%
= $200
200-123+289-2/2=????
Answer:
365
Step-by-step explanation:
200-123+289-2/2
77+289−2/2
366−2/2
366−1
= 365
READ
10 times
100 times
600 times
Or
1000 times
50 points and brainlist
Answer:
100 times
Step-by-step explanation:
100 times
please is 100 times
Anybody know this? (Geometry)
Answer: d
Step-by-step explanation:
Why do you think the Court ruled differently in New York Times Co. v. United States (1971) than it did in Schenck v. United States (1919)? Consider differences in the ideological composition of the Court and public opinion towards the wars.
Answer:
The case reached the Supreme Court in June 1971. The Supreme Court has, at times, ruled that the government can restrict speech that presents a “clear and present danger.”
Susan and James will put their money together. What is the most expensive snack they will be able to buy? Math
Answer:
What snacks can they buy? if Susan and James don't know that they must be slow, might as well not even buy snacks if they can't figure that out.
Step-by-step explanation:
Simplify 3 ( x + 2 ) − 2 ( x 2 + 2x − 4 ).
Which of the polynomials below represents the answer written in standard form?
Select one:
a. - 2x 2 − x + 14
b. - 2 + 7x + 2x 2
c. - 3x 4 + 14
d. 2x 2 + 7x − 2
Answer:
The polynomials that represents the answer is -2x² - x + 14 ⇒ a
Step-by-step explanation:
Let us solve the question
∵ The expression is 3(x + 2) - 2(x² + 2x - 4)
→ Multiply each bracket by the number before it
∵ 3(x + 2) = 3(x) + 3(2)
∴ 3(x - 2) = 3x + 6
∵ 2(x² + 2x - 4) = 2(x²) + 2(2x) + 2(-4)
∴ 2(x² + 2x - 4) = 2x² + 4x + (-8)
→ Remember (+)(-) = (-)
∴ 2(x² + 2x - 4) = 2x² + 4x - 8
∴ 3(x + 2) - 2(x² + 2x - 4) = (3x + 6) - (2x² + 4x - 8)
→ Multiply the (-) by all the terms in the 2nd bracket
∴ 3(x + 2) - 2(x² + 2x - 4) = 3x + 6 - 2x² - 4x + 8
→ Add the like terms
∵ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (3x - 4x) + (6 + 8)
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (-x) + 14
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² - x + 14
∴ The polynomials that represents the answer is -2x² - x + 14
3x+8 if x=2
15
13
16
14
Answer:
14
Step-by-step explanation:
3*2+8
=14
I need help with all 3 please help!
Type the correct answer in the box. If necessary, use / for the fraction bar.
A fish tank is a cube. Its side length is 4 1/2 feet.
The volume of water needed to completely fill the fish tank is ______ cubic feet.
Answer:
15 i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
PLEASEEEEEEE HELLLPPPPPPPPP EMERGENT
Answer:
She worked four hours and earned 36 dollars
Step-by-step explanation:
Answer:
it shows that when she works for 4 hours, she earns 36 dollars!!
Step-by-step explanation:
i need help with geometry
Answer:
It would be C. I and II
Step-by-step explanation:
I wasn't in class so I need help solving the inequality 7/10n+14<49
Answer:
n<50
Step-by-step explanation:
7/2*5n + 14<49
7n/2*5+14<49
(7n)+(2*5)14/2*5 <49
7n+10*14/2*5 <49
7n+140/2*5 <49
7n+140/10 <49
7n+140 < 10*49
7n+140 < 490
(7n+140)+(-140)<490+(-140)
7n+140-140<490-140
7n<350
7n/7 < 350/7
n<2*5^2*7/7
n<2*5^2
n<2*25
n<50
If interest is compounded semi-annually, which expression represents the account balance in t yeats?
Answer:
ANNUAL Compounding : Total = Principal * (1 + rate)^years
Semi-Annual TOTAL = Principal * (1 +rate/n)^n*years
where "n" is the number of compounding periods per year
So the formula for semi-annual compounding is
TOTAL = Principal * (1 +rate/t)^t*years
Step-by-step explanation: