a) The equation is therefore; x³ + 3x² + 2x = 336
b) Solving for the length, we get the length to be; x = 6.
c) All workings are as shown below;
According to the question;
When the height of a rectangular prism was halved, the volume was 168 cubic cm.In essence, the volume of the original prism is;
Volume = 168 × 2.Volume = 336cm³Since, the original prism had a length, width, and height of consecutive integers, increasing in that order.
Therefore, length = xwidth = (x +1)height = (x +2)Volume = x (x+1) (x+2) = 336a) The equation is therefore;
x³ + 3x² + 2x = 336b) Solving for the length, x is as follows;
(x-6) (x² + 9x + 56) = 0By testing values and checking;
Upon solving the polynomial, x = 6.c) All workings are as shown above.
Read more on cubic equation:
https://brainly.com/question/8878887
Please help with this!
Answer:
I think this is the answer
Step-by-step explanation:
p= x+2+x+9+2x
Simplified
4xin+11in
Please help I need the answer quick this assignment is almost due!
Answer:
x = -3
Step-by-step explanation:
The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.
2x + 9 = 7x + 24
Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.
2x - 7x + 9 = 7x - 7x + 24
-5x + 9 = 24
Then, we'll remove 9 from both sides.
-5x + 9 - 9 = 24 - 9
-5x = 15
Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.
-5x/-5 = 15/-5
x = -3
And there it is... the value of x. Hopefully that's helpful! :)
The population of Fantasy City doubles each month. When will the city be half populated if it will be fully populated in 10 months.
Using an exponential function, it is found that the city will be half populated in 9 months.
The population of Fantasy City doubles each month, hence, after t months, the population is given by:
[tex]P(t) = P(0)2^{t}[/tex]
In which P(0) is the initial population.Fully populated in 10 months, hence, the full population is:
[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]
Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:
[tex]P(t) = P(0)2^{t}[/tex]
[tex]512P(0) = P(0)2^{t}[/tex]
[tex]2^t = 512[/tex]
[tex]2^t = 2^9[/tex]
[tex]t = 9[/tex]
The city will be half populated in 9 months.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936
How to find domain of (1/x-3)(x^2-x-12)
Set denominator to zero and solve for x.
x^2 - x - 12 = 0
Factor.
(x - 4)(x + 3) = 0
Solve each factor for x.
x - 4 = 0
x = 4
x + 3 = 0
x = -3
Answer:
The domain is ALL REAL NUMBERS except for x = 4 and x = -3.
14. Provide a written description of the complement of the given event.
of ten adults, at least one of them has high blood pressure.
None of the adults have high blood pressure.
At most one of the adults has high blood pressure.
All of the adults have high blood pressure.
Nine of the adults have high blood pressure
Answer:
At most one of the adults has high blood pressure.
Step-by-step explanation:
On Tuesday morning a school cafeteria served 18 gallons of orange juice during breakfast. How many cups are in 18 gallons?
A.288 cups
B.64 cups
C.2,048
D.128 cups
Answer:
A
Step-by-step explanation:
288 cups did this before
-10-9-8-7 -6 -5 -4 -3
-2.1
0
1 2 3 4 5
6
7 8 9 10
3) Which inequality matches the graph?
A) X > .2
B) X <-2
C) x = -2
D) 3.2
Answer:
I think its D
Step-by-step explanation:
The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)
21
4x + 5
E
חו
What is the value of x?
Answer:
don't know
Step-by-step explanation:
Please answer the file question.
Answer:48 16 = ?
27 9 = 9
60 20 - 10
Step-by-step explanation:
At Cheesecake Factory, the cost of your meal before the tip is $77.23. You leave a 15% tip. How much
money did you leave for tip? What is the total cost of your meal?
Answer:
$88.81
Step-by-step explanation:
to find tip, multiply 77.23 and .15 to get $11.58
total cost = meal + tip
total cost = 77.23 + 11.58 which equals $88.81
Factor the expression to fill in the blank. 25 + 45 = ? (5 + 9)
Answer:
25 + 45 = 5 (5 + 9)
Step-by-step explanation:
25 + 45 = ? (5 + 9)
Step 1: 25 ÷ 5 = 5
Step 2: 25 ÷ 9 = 5
? = 5
At a certain shirt factory, 6 buttons are used on each shirt. If a box containing 120 buttons costs $7, determine the cost for the number of buttons needed for 680 shirts
Answer: $238
Step-by-step explanation:
120/6 = 20 shirts for $7
680 / 20 = 34 lots of shirts costing $7
the cost = 34 x 7 = $238
Answer:
238$
Step-by-step explanation:
680*6=4080
this is how many buttons used
4080/120=34
this is how many boxes of buttons
34*7=238
this is the amount
G(x)=4.8x -5
I needed help finding the slope
Answer:
Slope is 4.8
Step-by-step explanation:
[tex]{ \tt{G(x) = 4.8x - 5}} \\ [/tex]
Answer: The Answer is 4.8
Someone please help me with this
Answer:
135.5-8.50=127
127/31.75=4
4 friends or your self and 3 friends
Hope This Helps!!!
Answer:
Equation:
31.75x + 8.50 = 135.50
Answer:
x = 4
Step-by-step explanation:
31.75x + 8.5 = 135.5
31.75x = 135.5 - 8.5
31.75x = 127
x = 127/31.75
x = 4
MSRP (Manufacturer's Suggested Retail Price) = $18.99 retailer's price = $14.99 discount = ?%
Discount=$ 4
Discount percent :21.06%
solution given:
Marked price: $18.99
selling price: $14.99
Now
discount : Marked price - selling price
:$18.99- $14.99
:$4
Now
discount percent:[tex] \frac {discount}{marked \:price} *100\percent [/tex]
=[tex]\frac {4}{18.99}*100 [/tex]%
=21.06%
Step-by-step explanation:
Hope it will help you a lot.
57846*3746 help please
Answer:216691116
Step-by-step explanation:
Answer:
216,691,116
Step-by-step explanation:
what is -6 - 2=
A. 8
B. -4
C. -8
D. 4
A line passes through the point (-4, 7) and has a slope of -5/4
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=-\frac{5}{4} x+2.[/tex]
Step-by-step explanation:
1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;
2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;
3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':
7= -5/4*(-4)+i; ⇒i=2, then
[tex]4) \ finally, \ y=-\frac{5}{4}x+2.[/tex]
The triangle and rectangle have the same perimeter.find the value of x.
Answer:
X=2
Step-by-step explanation:
Triangle
3x+18
Rectangle
6x+12
Same perimeter:
3x+18=6x+12 //-12
3x+6=6x //-3x
6=3x //:3
2=x
Answer:
x = 2
Step-by-step explanation:
Perimeter of triangle = a + b + c
Perimeter of rectangle = 2(l + b)
=> x + 5 + x + 6 + x + 7 = 2(2x - 1 + x + 7)
=> 3x + 18 = 2(3x + 6)
=> 3x + 18 = 6x + 12
=> 3x - 6x = 12 - 18
=> -3x = -6
=> x = -6/-3
=> x = 2
The larger I grow, the less you can see!
What am I??
Answer: The darkness is the correct answer
Step-by-step explanation:
As you know that if the darkness becomes bigger you are unable to see it. Hope you like the answer do let me know in the about your thoughts.
Dose anyone know questions 2 and 3?
Answer:
Step-by-step explanation:
1.6 / 0.2 = 8 x 10⁽⁵⁻²⁾ = 8 x 10³
The cost increases by $1.50 for each additional toothbrush made.
you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is your total bill
Answer:
$4.32
Step-by-step explanation:
If you are splitting it evenly, just divide 12.96 by 3
12.96 / 3 = $4.32
Simplify (2x + 5y) + (3x - 2y)
Answer:
5x + 3y
Step-by-step explanation:
Combine Like terms: 2x + 3x = 5x
5x + (5y - 2y) = 3y
Ans: 5x + 3y
Find the value of n
Plz help me fast and send the answer
Answer:
n is 113
Step-by-step explanation:
Is an isosceles triangle so the base angles are equal
therefor angles sum up to 180
46 + x + x = 180
46 + 2x = 180
2x = 180 - 46
2x = 134
x = 67
now to find n
the sum of angles on a straight line equals 180
n + x = 180
n + 67 = 180
n = 180 - 67
n= 113
Answer:
the base angle of an isosceles triangle are equal
let the base angle be y°
46° + y° + y° = 180°(sum of angles in a ∆)
46° + 2y° = 180°
2y° = 180° - 46°
2y° = 134°
y° = 134/2
y°=67°
n+y=180°[sum of angles on a straight line]
n+67=180°
n=180-67
n=113°
What are the odds of not selecting a black 2 in cards
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
Variable = 4 (1/4x) 1/Variable - 12 - 12
(Hope this helps.)
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $70. For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $2050. What was the price of each kind of ticket?
Answer:
You can use the method of substitution.
Let the advance and same-day tickets be x and y respectively.
x + y = $70 ---> (1)
25x + 35y = $2050 ---> (2)
From Statement (1):
Let (1) × 25
25x + 25y = $1750
10y = $2050 - $1750
= $300
y = $300 ÷ 10
= $30 ---> (3)
From Statement (3):
Substitute (3) into (1)
x + $30 = $70
x = $70 - $30
= $40
Advance ticket: $40
Same-day ticket: $30
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (What is the circumference of the circle?)
Use the pythagorean theorem [tex]a^2+b^2 = c^2[/tex] to plug in a = 8 and b = 6. You should find that the hypotenuse is c = 10. The diameter of the circle is 10 units, which leads to the circumference of [tex]C = 10\pi[/tex]
Answer: [tex]\boldsymbol{10\pi}[/tex]11) Which shows another way to write 6%?
A) 6
B) -6
C) 0.06
D) six tenths
Answer:
i think C. 0.06 is answer
Step-by-step explanation:
6% = 6/100 = 0.06
[tex]6\% \\ = \frac{6}{100} \\ = 0.06[/tex]
Answer:
C) 0.06
Hope you could get an idea from here.
Doubt clarification - use comment section.
Devon has $900 in a savings account. The interest rate is 7% per year and is not
compounded. How much interest will she earn in 2 years?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.
=
Answer:
$ 12600
Step-by-step explanation:
According to the question, you have to find the simple interest that Devon earn after 2 years,
You can use this formula to find that.
I = P r tHere,
P = principal ( $ 900)
r = rate ( 7%)
t = time ( 2 years)
Let us solve now.
I = p × r × t
= $ 900 × 7% × 2 years
= 6300 × 2
= $ 12600
Hope this helps you.
Let me know if you have any other questions :-)