Answer:
c×3 (2 b^3 - 2 a b + a)
Step-by-step explanation:
Simplify the following:
c (4 b^3 + 3 a) + b (2 c b^2 - 6 a c)
Hint: | Factor common terms out of 2 c b^2 - 6 a c.
Factor 2 c out of 2 c b^2 - 6 a c:
c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a)
Hint: | Pull a common factor out of c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a).
Factor c out of c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a), resulting in c ((4 b^3 + 3 a) + b×2 (b^2 - 3 a)):
c (4 b^3 + 3 a + 2 b (b^2 - 3 a))
Hint: | Distribute 2 b over b^2 - 3 a.
2 b (b^2 - 3 a) = 2 b^3 - 6 a b:
c (4 b^3 + 3 a + 2 b^3 - 6 a b)
Hint: | Group like terms in 4 b^3 + 3 a - 6 a b + 2 b^3.
Grouping like terms, 4 b^3 + 3 a - 6 a b + 2 b^3 = (4 b^3 + 2 b^3) - 6 a b + 3 a:
c (4 b^3 + 2 b^3) - 6 a b + 3 a
Hint: | Add like terms in 4 b^3 + 2 b^3.
4 b^3 + 2 b^3 = 6 b^3:
c (6 b^3 - 6 a b + 3 a)
Hint: | Factor out the greatest common divisor of the coefficients of 6 b^3 - 6 a b + 3 a.
Factor 3 out of 6 b^3 - 6 a b + 3 a:
Answer: c×3 (2 b^3 - 2 a b + a)
In training for a swim meet, Logan swam 750 meters in 1/3 of an hour. His swimming partner, Mila, swam 2/3 of Logan's distance in 1/4of an hour. What is Mila's average swimming speed?
Answer: 2000m/h
Step-by-step explanation:
speed = distance/time
milas distance was (2/3).(750 m) = 500 m, so her speed was (500 m)/(1/4) = 2000 m/h
The bus fare in a city is People who use the bus have the option of purchasing a monthly coupon book for With the coupon book, the fare is reduced to $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book?
Answer:
21
Step-by-step explanation:
The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
Solution
Let
y = number of bus fares.
Cost of bus fares without coupon book = 1.50y
Cost of bus fares with coupon book = .50y + 21
Equate cost of bus fares without coupon book and cost of bus fares with coupon book
1.50y = .50y + 21
Subtract .50y from both sides of the equation
1.50y - .50y = .50y + 21 - .50y
1.00y = 21
Divide both sides by 1.00
y = 21 / 1.00
y = 21 times
Find an expression for the number of colored border tiles needed for any N x N square center.
Answer:
8N - 4 border tiles.
Step-by-step explanation:
There are 4 border tiles in each corner and between the tiles there are N-2 tiles along the 4 sides.
So the number of border tiles
= 4+ 4(N - 2)
= 4 + 4N - 8
= 8N - 4.
5y - 1 = 4y +5
Linear equations
Step-by-step explanation:
5y - 1 = 4y + 5
5y -4y = 5 + 1
Y (1y) = 6
1/25, 1/4 , 0.2 least to greatest
Answer:
1/25 0.2 1/4
Step-by-step explanation:
1/25, 1/4 , 0.2
1/25 = 0.04
1/4 = 0.25
1/25 0.2 1/4
Look at me, aren't I “acute"! With two of my angles
measuring under 90 degrees, I think it is easy to see.
My third angle helps me stand up straight and keeps
me right and great! What shape am I? Draw me.
Answer:
a acute angle
Solve the literal equation 5a + 10b = 2b - 4a for a.
Answer:
A=-8b/9
Step-by-step explanation:
Color of car driven:___________.Is the variable qualitative or quantitative? A. The variable is qualitative because color is found by measuring or counting. B. The variable is qualitative because color describes an attribute or characteristic. C. The variable is quantitative because color describes an attribute or characteristic. D. The variable is quantitative because color is found by measuring or counting.
Answer:
B. The variable is qualitative because color describes an attribute or characteristic.
Step-by-step explanation:
Color is a qualitative variable, used to describe an object. Color cannot be measure or counted, but can be used as a descriptive property of an object. Other examples of qualitative variables include beauty, happiness etc
Quantitative variables are those that can be counted or measure. examples of quantitative variables are height. age, weight, loudness, etc
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x + 3y = 29
x = 4
A. (4,7)
B. (3,2)
C. (7,4)
D. (4,11)
Which of the following is a value are perfect square
Check all that apply
1
2
55
81
121
Answer:
1, 81, and 121 are correct
Step-by-step explanation:
they are the only ones that do not have a decimal when squared
1=1
81=9
121=11
Express the following vector in the form v vi+V2j+ v3k 3u -v if u (3,5,-8) and v (2,-5,7)
Answer:
7i+20j-31kStep-by-step explanation:
Given the vectors u (3,5,-8) and v (2,-5,7), they can also be written as;
u = 3i+5j-8k
v = 2i-5j+7k
To express the vector 3u - v in vector form, first let us find the vector 3u;
3u = 3(3i+5j-8k)
3u = 3(3i)+3(5j)-3(8k)
3u = 9i+15j-24k
Subtract v from the resulting vector.
Since v = 2i-5j+7k
3u - v = 9i+15j-24k - (2i-5j+7k)
3u-v = 9i+15j-24k -2i+5j-7k
collect the like terms
3u-v = 9i-2i+15j+5j-24k-7k
3u-v = 7i+20j-31k
Hence the vector 3u-v in the form v = vi+V2j+ v3k is 7i+20j-31k
The price of a baseball cap is $8.75. Between which two prices is the price of the cap?
A. $8.00 and $8.49
B. $8.50 and $8.99
C. $9.00 and $9.49
D. $9.50 and $9.99
Answer:
B. $8.50 and $8.99
Step-by-step explanation:
Answer:
B. $8.50 and $8.99
Step-by-step explanation:
OLGA went on an 82 mile bike trip last week by Thursday night she travel 64 miles of the total distance which president is reasonable estimate of how much of the trip OLGA completed by Thursday
Answer:Note: This symbol ≈ means approximately.
629 ≈ 600
215 ≈ 200
111 ≈ 100
588 ≈ 600
Now, we add the simplified numbers up: 600 + 200 + 100 + 600 = 1500. So, your answer is D or 1,500.
Step-by-step explanation:PLZZZ GIVE BRAINLYEST HOPE IT HELPS
As part of their application for a loan to buy Lakeside Farm, a property they hope to develop as a bed-and-breakfast operation, the prospective owners have projected:
Monthly fixed cost (loan payment, taxes, insurance, maintenance) $6000
Variable cost per occupied room per night $ 20
Revenue per occupied room per night $ 75
a. Write the expression for total cost per month. Assume 30 days per month.
b. Write the expression for total revenue per month, first using the general variables, and second including the values of known variables).
c. If there are 12 guest rooms available, can they break even? What would be the profit with 12 rooms?
d. What percentage of rooms would need to be occupied, on average, to break even?
Answer:
Instructions are below.
Step-by-step explanation:
Giving the following information:
Monthly fixed cost= $6,000
Variable cost per occupied room per night= $20
Revenue per occupied room per night= $75
First, we need to structure the total cost formula:
Total cost= 6,000 + 20*x
x= occupied room
Now, we can find the expression for total revenue:
Revenue= selling price per unit*units - fixed cost - unitary variable cost*units
Revenue= 75*x - 6,000 - 20*x
I assume that the 12 rooms will be occupied for the 30 days:
Revenue= 75*(12*30) - 6,000 - 20*(12*30)
Revenue= $13,800
Finally, we need to determine the break-even point in units:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 6,000 / (75 - 20)
Break-even point in units= 109 rooms
On percentage= (109/360)*100= 30.28%
3x^4-7x^2+11 Expression
Which of the following statements correctly describes the expression below based on its degree and number of terms? 3x^4 - 7x^2 + 11. The expression has four terms and a degree of 6. The expression is a trinomial with a degree of 6. The expression is a trinomial with a degree of 4. The expression has four terms and a degree of 4.
hope this helps!
A woman making $3000 per month has her salary reduced by 10% because of sluggish sales. One year later, after a dramatic improvement in sales, she is given a 20% raise over her reduced salary. Find her salary after the raise.
Answer:
$3240 a month
Step-by-step explanation:
First, find her reduced salary:
3000(0.9)
= 2700
Then, find her salary after the raise:
2700(1.2)
= 3240
So, her salary after the raise is $3240 a month
pls help i will mark brainliest......i have a time limit
Answer:
Hey there!
If angle one is congruent to angle two, all of the above is true.
Let me know if this helps :)
How do you write 582,030 in expanded form
Answer:
500,000 + 80,000 + 2,000 + 30
what is the reciprocal of 4 over 5
Lilla wants to replace both question marks with the same number so that the inequalities correctly compare the numbers.
(?>-5 and ?<2)
Answer:
tththtfhhtfhtfttfh
Step-by-step explanation:
tfhtfh
Answer:
0
Step-by-step explanation:
The question is asking for any number between -5 and 2, so you can choose -4, -3, -2, -1, 0, or 1
the sum of a number and 6 is 3
Answer:
x + 6 = 3
-3 + 6 = 3
Step-by-step explanation:
x + 6 = 3
x + 6 - 6 = 3 - 6
x = -3
Which is the best estimate of 47 to the nearest tenth?i
Answer:
47.0Step-by-step explanation:
Answer:
Square Root of 47 to the nearest tenth, means to calculate the square root of 47 where the answer should only have one number after the decimal point. To check that the answer is correct, use your calculator to confirm that 6.92 is about 47.
Step-by-step explanation:
Plz Mark me as brainliest
what number does a Roman numerals MDC XL IX represent
Answer:
the answer is 1649
can somebody help answer this??
Answer:
Heres an Example: X^1 Y^2/ X^2 Y61
Step-by-step explanation:
It's a problem like this I hoped it helped! :3
There are 360 degrees in a circle. How many arc seconds will be in 96 % of a circle?
1/2 of 24 =
1/6 of 24
1/4 of 24 =
Answer:
1/2 of 24 = 12
1/6 of 24= 4
1/4 of 24 = 6
Step-by-step explanation:
divide
if a bag contains 12 quarts 6 dimes 18 nickles what is the part to whole ratio of dimes to all coins
Answer:
I'm not really sure but I think its 6:36
Step-by-step explanation:
12 quarters + 18 nickels + 6 dimes = 36 coins in total
6 dimes in total
6:36
What are the different types of cardinal numbers?
Answer:
Cardinal, Ordinal, and Nominal Numbers
Step-by-step explanation:
Answer:
A Cardinal Number is a number that says how many of something there are, such as one, two, three, four, five. An Ordinal Number is a number that tells the position of something in a list, such as 1st, 2nd, 3rd, 4th, 5th etc
round 737.88 to the nearest tenth place?
Answer:
737.9
Step-by-step explanation:
8 is the hundredth place in 737.88, and 8 rounds up. So, the answer is 737.9
Answer:
737.9
Step-by-step explanation:
When we round something to the nearest ___ place, we want to look to the value to the right of it.
Since we're rounding it to the nearest tenths place, we want to look at the value to the right of it - the hundredths place.
The number in the tens place will be one more if the hundredths place is 5 or greater. It will remain the same if the hundredths place is below 5.
8 is greater than 5. This means the tens place will round up to 9.
So 737.9.
Hope this helped!
Algebra 2 Help! Please help.
Step-by-step explanation:
h(x) =-x-4
h(x)=9
=>9=-x-4
=>x=-13
Answer:
We place 9 in the first expression instead of h (x)
Then we solve the equation
9=-x-4
x=-13