Use the distributive property (of which the FOIL method is a special case):
(a - b) (a² + ab + b²)
= (a - b) a² + (a - b) ab + (a - b) b²
= (a³ - a²b) + (a²b - ab²) + (ab² - b³)
= a³ - b³
Alternatively, you can distribute the quadratic expression over each term in a - b :
(a - b) (a² + ab + b²)
= a (a² + ab + b²) - b (a² + ab + b²)
= (a³ + a²b + ab²) - (a²b + ab² + b³)
= a³ - b³
At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?
Answer:24 dogs
Step-by-step explanation:8x3
Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an
hourly rate of $28. The plumber only charges for a whole number of hours. Anand would like to spend no more
than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.
1) Which inequality describes this scenario?
Choose 1 answer:
a
28 + 65H <250
28 + 65H > 250
© 65 +28H < 250
D
65 +28H 250
65+28H≤250
Step-by-step explanation:
Anand can afford at most 6 hours.
Step-by-step explanation:
Can somebody help please?
Also there are 10 people :3
Answer:
12
Step-by-step explanation:
adding them altogether
Which of the following represents a possible combination of books that Derek can buy?
A. (-2, 15)
B. (0, 10)
C. (2, 5)
D. (3, 5/2)
Can you guys help with this one?
HELP ASAP WILL GIVE BRAINLIEST Find x. Give reasons to justify your solution.
Lines AB and CD are straight lines.
Link to image https://homework.russianschool.com/resource?key=17610ip7xq552
Answer:
385
Step-by-step explanation:
Answer:
The lines are straight the lines are at a 385 angle
Step-by-step explanation:
The reason they are straight lines is they are at a perfectly straight not curving to the side or bending like E and F how they have a 45 dgree angle I assume.
I not really sure if its right but umm if I am I hope this helps you out.
what is x ^ 2 × x^-12
Answer:
1/x^10
Step-by-step explanation:
hope that helps:)
Solve the equation below. 3/2x – 5 = 7
Answer:
x = 8
Step-by-step explanation:
Add 5 to each side, so it now looks like this: [tex]\frac{3}{2}x = 12[/tex] Divide each side by 3/2, so it now looks like this: x = 8I hope this helps!
The graph below shows how much money you have in savings each week. Use
this graph to answer questions (a – g).
a. According to the graph how much money did you start with in your savings?
b. How much money will you have after 5 weeks of saving?
Answer:
Step-by-step explanation:
a). Since starting point of the line is (0, 50),
Therefore, I started with the saving of $50.
b). Since endpoint of the segment is (5, 175),
Money with me after 5 weeks will be $175.
c). Let the equation of the line given in the graph is,
y - y' = m(x - x')
Where (x', y') is a point lying on the graph.
And 'm' is the slope of the line.
Slope of the line = [tex]\frac{175-50}{5-0}[/tex]
m = [tex]\frac{125}{5}[/tex]
m = 25
Since, the line passes through (0, 50),
y - 50 = 25(x - 0)
y = 25x + 50
y = 25x + 50
For x = 6,
y = 25×6 + 50 = 200
For x = 7,
y = 25×7 + 50 = 225
For x = 8,
y = 25×8 + 50 =250
d). For x = 10 weeks,
y = 25×10 + 50 = $300
e). For x = 15 weeks
y = 25×15 + 50 = $425
f). For x = 50 weeks,
y = 25×50 + 50 = $1300
g). Equation of the line is,
y = 25x + 50
Can you guys help me with this, it's due today
Answer:
i think its D
Step-by-step explanation:
Chris purchases a living room furniture set for $4,345 from Halloran Gallery. She has a one-year, no interest, no money down, deferred payment
plan. She does have to make a $15 monthly payment for the first 11 months.
a. What is the sum of these monthly payments?
b. How much must Chris pay in the last month of this plan?
Answer:
a) $165
b) $4180
Step-by-step explanation:
15×11=165
4,345-165=4180
a) The sum of these monthly payments is $165
b) Chris pay in the last month of this plan is $4180
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?
For example
Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Price for furniture set = $4,345
a) The sum of these monthly payments
=15×11
=$165
b) Chris pay in the last month of this plan
=4,345-165
= $4180
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This is due today and I don’t really get it so I need some help!
I'm not sure if you dont know maybe put C
-2.6+(-3.5)
Add. Write in simplest form, if necessary.
Answer:
− 10 /61
or
=−6.10000
Step-by-step explanation:
9. Determine whether the ratios 5/6 and 10/18 are
proportional.
a. proportional
b. not proportional
Answer: b
Step-by-step explanation:
what is 74 3/5 + 19 2/3 as a mixed number with the fractional part in lowest terms ?
someone help ASAP
Answer:
92 1/15
Step-by-step explanation:
74=19=92
3/5 and 2/5
3times 5 is 15
denominator is 15
9-10=1
92 1/15
4(x + 2) − 2x = 4(x − 3) please show work
Answer:
x = 20
Step-by-step explanation:
PEMDAS
P = parenthasees
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
this is the order
so first
4x + 8 -2x = 4x - 12
No exponents
no Multiplication
No division
Addition
So for this, we have to subtract the 4x on both sides to get
x + 8 - 2x = -12
then do -8
x - 2x = -20
then
-x = -20
x = 20
Answer:
x=10
Step-by-step explanation:
*The eight is negative and not positive. The answer is x=10
Which expression is equivalent to (f9)(5)?
Answer:
i think it would be fx9x5
Step-by-step explanation:
sorry if its not write
a student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $53. How many of each type of bill does he have
Answer:
$1 bills = x and $5 bills = y
x+y = 17 - that expresses the number of bills.
1x + 5y = 53.
Solve the first for x in terms of y and substitute that into the second.
x = 17 - y
17 - y + 5y =53
17 +4y = 53
4y = 36
y = 9
Substitute that back into the first equation: x + 9 = 17 and then x = 8
Mrs. Phan wants to buy tulips and lilies for her house. She needs at least 5 containers of tulips and at least 5 containers of lilies. Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?
Answer:
She can buy a maximum number of 15 containers
Step-by-step explanation:
We are told from the question that:
Mrs. Phan needs at least 5 containers of tulips and at least 5 containers of lilies.
Tulips cost $6 per container and lilies cost $4 per container. If Mrs. Phan has a total of $75 to spend for the tulips and lilies, what is the greatest number of containers she can buy?
Let x represent the number of Can of tulips for both tulips and lilies
x ≥ 5 cans for both tulips and lilies
$6 × x + $4 × x = $75
6x + 4x = 75
10x = 75
x = 75/10
x = 7.5 cans
This means , 7.5 containers for tulips and 7.5 containers for lilies
Adding up both containers, we have :
7.5 + 7.5 = 15 containers
Therefore, the greatest number of containers she can buy is 15 containers
Mark simplified 3/5 divided by 5/8 his work is shown below.Identify where he made his error.
Original division problem: 3/5 divided by 5/8
Step 1: 3/5• 8/5
Step 2: 3•8
5•5
Step 3: 24/5
Step 4: 4 4/5
Please help fast :)
Answer:
step two
Step-by-step explanation:
Rewrite in simplest terms 9v-8(10v-9)
Answer:
-71v+72
Step-by-step explanation:
Hope this helps. Plz give brainliest.
Answer:
9v-8.(10v-9)
result:72-71v
what is the measure abe
Answer:
angle ABE is equal to 274/7 degrees which is equal to 39.14285714 degrees
Step-by-step explanation:
please help me with this math problem
Answer:
J
Step-by-step explanation:
P: 312,000,000
Q: 81,000
R: 792,000
S: 26,500
Least to greatest: 26500(S), 81000(Q), 792000(R), 312000000(P)
S, Q, R, P
When three times a number is subtracted from eight times the same number, we get the result 35. What is the number?
Answer:
7
Step-by-step explanation:
8x - 3x = 35
5x = 35
x = 7
Answer:
7
explanation:8x - x+x+x =35
8x-3x=35
5x=35
x=7
simplify m+{n-[p+q-(m-n+p-q)]}
Answer:
m+n-p-q+m-n+p-q = 2m-2q
Solve the problem.
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly
producer is given by the function C(x)=0.8x + 40,000. Find C(50,000), the cost of producing 50,000
jars.
A) $40.80
B) $80,000 C)$50,040
D) $40,000
Answer: 80,000
Step-by-step explanation:
Plug in 50,000 where the x are and then just solve from there
Consider the expression 3 + 4 x (5+6) + 7.
Which operation should be evaluated first?
the population in the town of Dexterville is projected to increase by 135% By 2040. If the current population in Dexterville is 2460, what is the projected population by 2040(PLEASE ANSWER QUICKLY I NEED IT ASAP)
It would be 3,321. 2040 times 1.35 equals 3,321.
Which of the following equations are true about the following parallelogram?
Answer:
A, B, E
Step-by-step explanation:
A is true since the sum of the measures of two consecutive angles of a parallelogram is 180 deg.
B is true since opposite angles of a parallelogram are congruent.
C is false since that equation gives x = -1, but x cannot equal -1 since that would make angle 3x - 12 have a negative measure.
D is false for the same reason as choice C.
E is true since x = 20 is the solution of the equations in choices A and B.
The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints of the situation?
Group of answer choices
A. s + h =40
18s +14h = 700
B. 18s +14h =40
s + h =700
C. 40s + h +700
18s + 14h = 700
D. No answer text provided.
Answer:
A. s + h = 40 18s + 14h = 700Step-by-step explanation:
club sold 40 scarves and hats so the sum of scarves and hats is 40
s + h = 40 - one of equations
They charged $18 for each scarf and $14 for each hat so:
18×s - money made from scarves
14×h - money made from hats
18s + 14h - sum of money made from scarves and hats so:
18s + 14h = 700 - second of equatinons
The system of equations represents the constraints of the situation are s + h = 40 and 18s + 14h = 700.Option A is correct.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that, the knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold.
The system of equations is as follows,
s + h =40
18s +14h = 700
Thus,the system of equations represents the constraints of the situation are s + h = 40 and 18s + 14h = 700.Option A is correct.
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