Answer:
P=13
Step-by-step explanation:
Solution:
P=2(l+w)=2·(2.5+4)=13
Wale was twice as old as Ajay 10 years back. How old is Ajay today if Wale will be 40 years old 10. years hence?
Using a system of equations, it is found that Ajay is 25 years old today.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Wale's age.Variable y: Ajay's age.Wale was twice as old as Ajay 10 years back, hence:
[tex]x - 10 = 2(y - 10)[/tex]
[tex]x - 10 = 2y - 20[/tex]
[tex]x = 2y - 10[/tex]
Wale will be 40 years old in 10 years, hence:
[tex]x + 10 = 40[/tex]
[tex]x = 40[/tex]
Then, Ajay's present age is found as follows.
[tex]2y = x + 10[/tex]
[tex]2y = 40 + 10[/tex]
[tex]y = \frac{50}{2}[/tex]
[tex]y = 25[/tex]
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Based on the system of equations, it is found that Ajay is 25 years old today.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
Based on the given information, we can say
Let Wale's age be x
Let Ajay's age be y
Ten years ago,
Wale = x - 10
Ajay = y - 10
If wale was twice as old as Ajay 10 years back, then;
x - 10 = 2(y - 10)
Since Wale will be 40 years old in 10 years, then;
x + 10 = 40
x = 40 - 10
x = 30
Recall that x - 10 = 2(y - 10)
30 - 10 = 2(y - 10)
20 = 2(y-10)
y = 20
Hence Ajay will be 20 years old today
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12x -(4x+7) +2x =13 I need to find the value of x, pls help
Answer:
x = 2
Step-by-step explanation:
[tex]12x -(4x+7) +2x =13 \\ \\ 12x - 4x - 7 + 2x = 13 \\ \\ 8x + 2x = 13 + 7 \\ \\ 10x = 20 \\ \\ x = \frac{20}{10} \\ \\ x = 2[/tex]
Find the values of p for which the quadratic equation 4x2 + px + 3 = 0 has equal roots.
Answer:
Step-by-step explanation:
You need to concern yourself with the +3. That will determine what the equal roots are.
(2x + √3)^2
Now expand this to see what p is. (Kind of a nasty question if you ask me).
4x^2 + 2x*√3 + (√3)^2
4x^2 + 2√3 x + 3 also possible is
4x^2 - 2√3 x + 3
So the answer is p = 2√3
The answer could also be p = -2√3
Answer:
p = ±4√3
Step-by-step explanation:
The discriminant of quadratic equation ax²+bx+c = 0 is ...
d = b² -4ac
In your quadratic, its value is ...
d = p² -4(4)(3) = p² -48
The discriminant will be zero when the quadratic has equal roots. In that case, the values of p are found by ...
d = 0
p² -48 = 0
p² = 48 . . . . . add 48
p = ±√48 . . . . take the square root
p = ±4√3 . . . . simplify
__
Another way to get there is by looking at the factoring of a quadratic with equal roots:
(ax +b)² = 0 = a²x² +2ab +b²
Comparing to the given quadratic, we find ...
a² = 4 ⇒ a = ±2 . . . . . . coefficient of x²
b² = 3 ⇒ b = ±√3 . . . . constant
p = 2ab = 2(±2)(±√3) . . . . coefficient of x
p = ±4√3
_____
The attachment shows the two different values of p give equations with one solution (each).
A total of 243 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two
times the number of adult tickets sold. How many adult tickets were sold?
Answer:
81 adult tickets
Step-by-step explanation:
Step 1:
Set up a system of equations
Since the adult tickets and student tickets add to 243, we can do
[tex]a+s=243[/tex]
and the student tickets sold were 2x the adult tickets, we can do
[tex]s=2a[/tex]
We can replace s in the first equation adding to 243 with 2a
[tex]a+s(2a)=243\\3a=243\\[/tex]
Step 2:
Solve for a. We can divide both sides by 3.
[tex]a=81[/tex]
Therefore, there were 81 adult tickets sold.
Step 3:
We can check our work! Since we learned earlier the student tickets are 2x adult tickets, we can multiply 81 by 2 and add that to 81 to see if it equals 243!
[tex]s=2a\\s=2(81)\\s=162[/tex]
And...
[tex]162+81=243[/tex]
So, 81 must be the answer!
Answer:
ok so I did this before
Step-by-step explanation:
just multiply 243 × 2 = ?
I got it right so you will probably get it right :)
Simplify the expressions
2(0*6)*5(7-)
Answer:
47 - 3c
Step-by-step explanation:
Look at the picture
(hopefully you can read the gold, all I could find was that marker for some reason)
Convert 680200 milliliter (mL) to kiloliter (kL)
Answer: 680 200 milliliter * mL =6.80200 × 10-7 kiloliter * kL, another way is, 0.6802
Step-by-step explanation: How to convert kL to mL: Enter a value in the kL field and click on the "Calculate mL" button. Your answer will appear in the mL field.Conversion DefinitionsThe following is a list of definitions relating to conversions between kiloliters and milliliters.What is a kiloliter (kL)?A kiloliter is a unit of volume in the Metric System. The symbol for kiloliter is kL. There are 0.000001 kiloliters in a milliliter. The International spelling for this unit is kilolitre.What is a milliliter (mL)?A milliliter is a unit of volume in the Metric System. The symbol for milliliter is mL. There are 1,000,000 milliliters in a kiloliter. The International spelling for this unit is millilitre.Conversion FormulaLet's take a closer look at the conversion formula so that you can do these conversions yourself with a calculator or with an old-fashioned pencil and paper.The formula to convert from kL to mL is:mL = kL x 1,000,000Conversion ExampleNext, let's look at an example showing the work and calculations that are involved in converting from kiloliters to milliliters (kL to mL).Kiloliter to Milliliter Conversion ExampleTask: Convert 2.5 kiloliters to milliliters (show work)
Formula:
kL x 1,000,000 = mL
Calculations:
2.5 kL x 1,000,000 = 2,500,000 mL
Result:
2.5 kL is equal to 2,500,000 mL
Look at the table to help answer the questions. Fill in the blanks.
Term: 1. 2 3. 4. 5.
Sequence 1: 1. 2. 3 ___ 5
sequence 2 : ____. 70. ____. 140. 175
Answer:
Sequence 1 =4
Sequence 2= 35. 70..105...140..175
Step-by-step explanation:
U subtract the previous number with next one
140 - 175 =35.. The you use this as your factor
Example 105 +35 = 140
Hope answer helps
How do I do this problem pls help!
Answer:
see attached
Step-by-step explanation:
The equation x=constant is the equation of a vertical line. Your line is a vertical line through the x-intercept (marked on your graph) with coordinates (-6, 0).
The attachment shows a graph of your line.
Would someone please help me with this
Answer:
12,000 m³
Step-by-step explanation:
Area of it's base = 900 m²Height of the pyramid = 40 mThe volume of a pyramid = 1/3 × area of base × height
= 1/3 × 900 × 40
= 300 × 40
= 12,000 m³
What is the equation?
Answer:
m= [tex]\frac{3}{2}[/tex], b = 1
Step-by-step explanation:
Remember y = mx + b
y = mx + b
y = [tex]\frac{3}{2}[/tex]x + 1
Hope that helps!
There are 336 girls at at concert the ratio of girls to boys at the concert is 4 to 5
Answer:
84 boys at the concert
Step-by-step explanation:
Because 80% of the girls and guys is girs the other 20% is the guys so 84 boys is the other 20%
Answer:
i think 756 but im just trying im sorry if its wrong
A water tank is 6 m wide. What is the volume of water in the tank if the depth is 5.5m?
A. 155.43 m^3
33 m^3
148.5 m^3
103.62 m^3
Answer:
It's A. 155.43.
Step-by-step explanation:
I just got the same question and got it right.
At an ocean depth of 20 meters, a buoy bobs up and then down 2 meters from the oceans depth. Four seconds pass from the time the buoy is at it's highest point to when it is at lowest point.Assume at x=0, buoy is at normal ocean depth
Use the sine tool to graph the function. The first pint must be in the midline and the second must be a maximum or minimum value on the graph closest to the first point
Answer:
We'll use a sin graph since at x=0 the buoy is at the y midline....
the period is 8 seconds (highest point to lowest point and back to highest point)
Frequency is 1/period 1/8
Starts at 20 (sine wave shifted up 20 m)
Amplitude 2 (up 2 meters then down 2 meters below norma ocean depth) .....( I think this is what you meant in your question.....if it bobs UP 2m then back to normal depth then down 2m)
2sin((2pi x)/8) + 20
Step-by-step explanation:
Answer:
x=0 is at the midline
Step-by-step explanation:
If loga abc=x +1,
logb ab c=y+1, logc abc=z+1
then
x+
y+z
+2
Step-by-step explanation:
Given:
log_(a) abc = x+1,
log_(b) abc = y+1,
log_(c) abc =z+1
Asked: x + y + z + 2 = ?
Solution:
Let
log_(a) abc = x+1 ⇛log_(abc) a = {1/(x+1)} →→→Eqn(1)
log_(b) abc = y+1 ⇛log_(abc) b = {1/(y+1)} →→→Eqn(2)
log_(c) abc = z+1 ⇛log_(abc) c = {1/(z+1)} →→→Eqn(3)
On adding equation (1),(2) and (3) then
log_(abc) a + log_(abc) b + log_(abc) c = {1/(x+1) + {1/(y+1)} + {1/(z+1)}
⇛log_(abc) abc = {{(y+1)(z+1) + (z+1)(x+1) + (x+1)(y+1)}/{(x+1)(y+1)(z+1)}]
⇛1 = {{(y+1)(z+1) + (z+1)(x+1) + (x+1)(y+1)}/{(x+1)(y+1)(z+1)}]
⇛{(x+1)(y+1)}(z+1) = (y+1)(z+1) + (z+1)(x+1) + (x+1)(y+1)
⇛{x(y+1)+1(y+1)}(z+1) = (y+1)(z+1) + (z+1)(x+1) + (x+1)(y+1)
⇛{xy + x + 1 + y}(z+1) = (y+1)(z+1) + (z+1)(x+1) + (x+1)(y+1)
⇛{xy + x + y + 1}(z+1) = (y+1)(z+1) + (z+1)(x+1) + (x+1)(y+1)
⇛z(xy + x + y + 1) + 1(xy + x + y + 1) = (y+1)(z+1) + (z+1)(x+1) + (x+1)(y+1)
⇛xyz + xz + yz + z + xy + x + y + 1 = (y+1)(z+1) + (z+1)(x+1) + (x+1)(y+1)
⇛xyz + xz + yz + z + xy + x + y + 1 = y(z+1)+1(z+1) + z(x+1)+1(x+1) + x(y+1)+1(y+1)
⇛xyz + xz + yz + z + xy + x + y + 1 = yz + y + z + 1 + xz + z + x + 1 + xy + x + y + 1
⇛x+y+z = y + z + 1 + x + 1
⇛x+y+z = x + y + z + 2
Therefore, x + y + z + 2 = x + y + z
Answer: Hence, the value of x + y + z + 2 = x + y + z.
also read similar questions: Let p= 5/((1/log2x)+(1/log3x)+(1/log4x)+(1/log5x)) and (120)^p=3 2,then
the
value
of
x?
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The actual distance between town A and twon b is 64 question # 10
Answer:
8 cm; from the table
Step-by-step explanation:
The equation gives the ground distance in terms of the map distance, so would have to be solved for x to be used to find map distance.
The graph is not shown.
The table appears correct, and includes the value 32 km for a map distance of 4 cm. The ground distance of interest is 64 km, which is twice that table value. That means the map distance will be twice the corresponding table value: 2×4 cm = 8 cm.
The distance from Town A to Town B is represented on the map by 8 cm.
[tex]~\hspace{16em}\underset{\downarrow }{\textit{distance on map}}\\ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \cline{1-10} Map&0&1&2&3&4&5&6&7&8\\ \cline{1-10} Actual&0&8&16&24&32&40&48&56&64\\ \cline{1-10} \end{array}\\ ~\hspace{16em}\stackrel{\uparrow }{actual~distance}[/tex]
Use the Unit Circle to find the exact value of the trig function.
Explanation:
Refer to the diagram below. I've marked the angle 330 in red.
The y coordinate of the terminal point for this angle is the value of sin(330)
Therefore, sin(330) = -1/2
Which statement is true about liabilities but not expenses
A. They have a normal debit balance.
B. They are due in the period they are incurred.
C. They are on the company’s income statement
D. They are recorded when owed
Liabilities are recorded when owed.
The correct option is D.
What is liability?A liability is anything that a firm or person owes, usually a debt. With the transmission of economic benefits like money, products, or services, liabilities are eventually.
Given
Statement about liability
They are recorded when owed is true.
Liability, when owed by a company, is recorded on the balance sheet, liabilities include everything owed by the firm.
Different forms of liability are loans, rents, payable accounts, unsettled revenues, bonds, etc.
Hence, True statement about liabilities is that they are recorded when owed.
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9. A 25 L sample of nitrogen is heated from 110 °C to 260 °C. What volume will the
sample occupy at the higher temperature?
Answer:
Using the Charles law equation
V1/T1=V2/T2
V1=25L
V2=?
T1=110°C
T1=110+273
T1=383K
T2=266°C
T2=266+273
T2=539K
25L/283K=T2/539K
T2=(25L×539K)/283K
T2=47.6L
Therefore at the temperature of 266°C, it will occupy 47.6L of volume.
HOPE IT WAS HELPFUL.
PLEASE MARK ME BRAINLIEST
hello help me with this question thanks in advance
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
Solution 1 :-The measure of Angle SKR is 90°
In Rhombus, The diagonals bisect each other at 90° it means diagonals are perpendicular to each other.Hence, Option C is correct
Solution 2 :-The measure of Angle RAK is 32°
We have given that angle RAT is 64° but here AK is acting as a bisector of Angle RATTherefore,
[tex]\sf{\angle{RAT = 2 }} {\sf{\angle{RAK}}}[/tex]
[tex]\sf{\dfrac{ 64}{2}}{\sf{=}}{\sf{\angle{RAK}}}[/tex]
[tex]\sf{\angle{ RAK = 32°}}[/tex]
Hence, Option a is correct
Solution 3 :-The measure of Angle ARS is 116°
Opposite angles of rhombus are equal[tex]\sf{\angle{ARS = }}{\sf{\angle{ATS}}}[/tex]
So,
[tex]\sf{\angle{RSK = }}{\sf{\angle{RAK}}}[/tex]
[tex]\sf{\angle{ RSK = 32° }}[/tex]
By using Angle sum property
AngleRSA + AngleSAR + AngleARS = 180°
[tex]\sf{ 32° + 32° + }{\sf{\angle ARS = 180° }}[/tex]
[tex]\sf{\angle {ARS = 180° - 64° }}[/tex]
[tex]\sf{\angle{ARS = 116° }}[/tex]
Hence, Option d is correct
Solution 4 :-The measure of angle KRS is 58°
We know that angle ARS is 116° but here RK is acting as a bisector of Angle ARSTherefore ,
[tex]\sf{\angle{ARS}}{\sf{ = 2}}{\sf{\angle KRS}}[/tex]
[tex]\sf{\dfrac{ 116}{2}}{\sf{=}}{\sf{\angle{KRS}}}[/tex]
[tex]\sf{\angle{ KRS = 58°}}[/tex]
Hence, Option b is correct
Solution 5 :-mAngleSKR = All of the above
In rhombus, the diagonals bisect each other at 90°From Above, we can say that,
mAngleSKR + mAngleAKR + mAngleAKT + mAngleSKT = 90°
Hence, Option D is correct.
Answer:
1:c
2:a
3:d
4:b
5:d
Step-by-step explanation:
In rhombus STAR
[tex]1.SAL\ \ TR[/tex] [tex]\left\{Characteristic\ of\ rhombus\right\}[/tex]
[tex]SO < SKR=90[/tex]°
[tex]2. < RAK=\frac{1}{2} < RAT=32[/tex]°
[tex]3. < ARS+ < RAT=180[/tex]°
[tex]< ARS=180[/tex]°[tex]- < RAT[/tex]
[tex]=116[/tex]°
[tex]4.\ < KRS=\frac{1}{2} < ARS[/tex]
[tex]=58[/tex]°
[tex]5.\ < SKR= < AKR= < SKT[/tex]
[tex]= < AKT=90[/tex]°
I hope this helps you
:)
Find the coordinates of the midpoint of PQ with endpoints P(-5, -1) and Q(-7, 3).
O (-6, 1)
O (-1,-4)
O (6, 1)
O (-12, 2)
Answer:
(-6, 1)
Step-by-step explanation:
((-5) + (-7))/2 = -6
((-1) + 3)/2 = 1
so the answer is (-6, 1)
Help please.. sorry for my dirty screen I don’t feel like cleaning it
Answer:
I dont do this subject yet
Need the answer , I’m confused
Answer:
$1 per dayStep-by-step explanation:
Amounts spent on Wednesday and Thursday are $4 and $5.
The rate of change over one day is:
(5 - 4)/1 = 1Tuesday be 0 initially
Wednesday to Thursday is 1 day
The points are (1,4) and (2,5)
So rate of change
m=5-4/2-1m=$1please help with this.
A right square pyramid has a slant height of 10 feet, and the length of a side
of the base is 16 feet. What is the height, h, of the pyramid?
10
16
A. 2 ft
B. 36 ft
C. 6 ft
D. V164 ft
Step-by-step explanation:
take the base square. find the diagonal
16^2+16^2 = 2*16^2= d^2
d= 16√2
half of the diagonal will form the baSe of right triangle of hypotenuse 10. but the base will be 8√2 which is greater than 10. so I feel the slant hr has to be different and more than 10
Answer:
The answer is 6 ft.
Step-by-step explanation:
Determine whether the given statements are true/false. Justify your answer
Answer:
justify whoo
Step-by-step explanation:
got eeeeeeeeeeee
Why did Spain help the Americans in the Revolutionary War?
Answer:
driven by a desire to regain the land it had lost to Britain
Step-by-step explanation:
Spain's motivation to help the American colonists was driven by a desire to regain the land it had lost to Britain and, with other European powers, make incremental gains against British possessions in other parts of the world.
Spain's motivation to help the American colonists was driven by a desire to regain the land it had lost to Britain and, with other European powers, make incremental gains against British possessions in other parts of the world.
Select the correct answer. Which equation matches the function shown in the graph?
Answer:
B) [tex]y=sin(x+\frac{\pi}{2})[/tex]
Step-by-step explanation:
Technically, since the function starts at its maximum, you could say the function is [tex]y=cos(x)[/tex], but the answer choices all use sine instead. Therefore, we will have to use the cofunction identity [tex]cos(x)=sin(x+\frac{\pi}{2})[/tex] and we can see that the correct answer is B.
The equation matches the function provided in the graph is y = sin(x + π/2) option (B) is correct.
What is sin function?It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
It is given that:
A graph of a trigonometric function is given:
As we know,
y = sinx has a sinusoidal graph
Based on the graph we can apply a transformation to get the required function.
Applying transformation:
x → x + π/2
The sin function will shift left side by π/2 unit
The equation of the function becomes:
y = sin(x + π/2)
The equation of the function shown in the graph is y = sin(x + π/2)
Thus, the equation matches the function provided in the graph is y = sin(x + π/2) option (B) is correct.
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Linda guessed her puppy's weight. Her percent error was 2.5%. Her puppy's actual weight is 8 pounds.
Linda overestimated the weight of her puppy.
What was Linda's estimate?
Answer:
8.2 pounds
Step-by-step explanation:
You multiply 8 by 2.5% so that would be 8×0.025=0.2
Then since she overestimated, add 0.2 to 8
8+0.2= 8.2 pounds
need help with this asap
I guess it is
4x-8+2x+2
6x-6
6 (x-1)
Answer:
6x-6 this is the answer.
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Whats the solution to x- 2/3 > 1/4?
Moving 2/3 to the other side, we get
x>1/4+2/3
Simplifying,
x>11/12