In the garage 33.33 percentage of work were MOTS.
Percentage is defined as per-cent, that is out of hundred. The percentage is calculated by dividing the acquired value by the total value and multiplying the result by 100.
Now in the given problem,
Total number of vehicles on which Keith worked is 105.
The number of MOTS among the 105 is 35.
Now we have to calculate the percentage of the MOTS out of a total 105 vehicles.
Let us use the formula=(number of MOTS ÷ total vehicles)×100
Therefore required percentage=[tex]\frac{35}{105}\times 100\%[/tex]
or, percentage=33.333...%
Therefore we can conclude that the total percentage of MOTS were approximately 33.33%(rounded to 2 decimal places).
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Susan Marciano invested part of her $12,000 bonus in a fund that paid 8% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $300 .
Answer:y=mx+b
Step-by-step explanation:
Answer:
Let x be the amount invested in funds that earned 8%.
Then the amount invested in stock that suffered 3% loss is 18,000 - x.
The profit from investment in funds is 8%x
The loss from investment in stock is 3%(18,000 - x).
The net profit is 8%x - 3%(18,000 - x).
As the net profit given in the problem is $780, we have:
8%x - 3%(18,000 - x) = 780
Step-by-step explanation:
A high school student decides to apply four of six famous colleges. I’m how many possible ways can the four colleges be selected
If a high school student decides to apply four of six famous colleges, then the four colleges can be selected in as many as 15 different combinations.
As per question statement, a high school student decides to apply four of six famous colleges.
We are required to calculate the number of combinations in which the four colleges can be selected.
To solve this question, we need to know the formula of Combination which goes as [tex](nCr)=\frac{n!}{r!(n-r)!}[/tex]
, i.e., we are to select a set or "r" from a set of "n".
Here, we have to select a combination of 4 from a set of 6.
Therefore applying (nCr) formula with (n = 6) and (r = 4), we get,
[tex](6C4)=\frac{6!}{4!(6-4)!} =\frac{6!}{4!2!}=\frac{4!*5*6}{4!*2}=\frac{5*6}{2}=(5*3)=15[/tex].
Combinations: In mathematics, a combination is a method of selecting items from a particular set, where the order of selection does not matter, i.e., if we have a set of three P, Q and R, then in how many ways we can select two numbers from each set, can be easily defined by combination.To learn more about combinations, click on the link below.
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5000 nails in five boxes. the first and second boxes have 2700 nails all together. the second and the third boxes have 2000 nails all together. the third and fourth boxes have 1800 nails all together. the fourth and the fifth boxes have 1700 nails all together. how many nails are in each box
The number of nails in each box is: 1300, 1400, 600, 1200, and 500
Given 5000 nails in five boxes.
Let X denote the universal set.
Then n(X) = 5000.
Let A denote the first box,
B denote the second box,
C denote the third box,
D denote the fourth box, and
E denotes the fifth box.
The first and second boxes have 2700 nails altogether.
⇒n(A ∪ B) = 2700
The second and third boxes have 2000 nails altogether.
⇒n(B ∪ C) = 2000
The third and fourth boxes have 1800 nails altogether.
⇒n(C ∪ D) = 1800
The fourth and fifth boxes have 1700 nails altogether.
⇒n(D ∪ E) = 1700
We need to find out how many nails are there in each box.
That is to find out: n(A), n(B), n(C), n(D), and n(E).
Note that all these five sets are disjoint. This means that the intersection is empty.
n(A ∪ B ∪ C ∪ D) = n(A ∪ B) + n(C ∪ D) = 2700 + 1800 = 4500
n(E) = n(X) - n(A ∪ B ∪ C ∪ D) = 5000 - 4500 = 500
n(D) = n(D ∪ E) - n(E) = 1700 - 500 = 1200
n(C) = n(C ∪ D) - n(D) = 1800 - 1200 = 600
n(B) = n(B U C) - n(C) = 2000 - 600 = 1400
n(A) = n(A U B) - n(B) = 2700 - 1400 = 1300
Therefore, the number of nails in each box is 1300, 1400, 600, 1200, and 500.
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solve for x please
4 / x • 26 / 2
Answer:
x = 3.25
Step-by-step explanation:
Use the Rule of 3 to solve this
Work in picture
What happens to the sum of the ball’s kinetic energy and potential energy as the ball rolls from point A to point E? Assume there’s no friction between the ball and the ground. An image shows a curve that starts at point A, decreases at B, then increases at C and D, and ends at E. A. The sum decreases. B. The sum increases. C. The sum remains the same. D. The sum always equals zero
The sum of the ball's kinetic energy and potential energy remains the same. as the ball rolls from point A to E.( if there is no friction between the ball and the ground).
based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.
the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.
The ball would not change the energy.
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what are the two equations for 2x2−6x−9=0
Answer:
[tex]x=\frac{3\left(1+\sqrt{3}\right)}{2},\:x=\frac{3\left(1-\sqrt{3}\right)}{2}[/tex]
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:2\left(-9\right)}}{2\cdot \:2} < - InsertQuadraticFormula[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:6\sqrt{3}}{2\cdot \:2}[/tex]
[tex]x_1=\frac{-\left(-6\right)+6\sqrt{3}}{2\cdot \:2},\:x_2=\frac{-\left(-6\right)-6\sqrt{3}}{2\cdot \:2} < - Separate THE Solutions[/tex]
[tex]x=\frac{3\left(1+\sqrt{3}\right)}{2},\:x=\frac{3\left(1-\sqrt{3}\right)}{2}[/tex]
a parte inferior de una escalera debe colocarse a 3 pies de una pared. La escalera mide 10 pies de largo. ¿Qué tan por encima del suelo toca la escalera la pared?
[tex]\sqrt{10^2 - 3^2}=\boxed{\sqrt{91} \text{ ft}}[/tex]
a² + 6b when a = -3 and b = 2
Answer:
21
Step-by-step explanation:
Just substitute -3 in for a and 2 in for b
[tex]a^2 + 6b\\-3^2 + 6(2)\\9 + 6(2)\\9 + 12\\21[/tex]
When you square a negative number, the answer is positive. Good luck, and have a great day!
Also, Jesus loves you!!!!
P is the point (2, 3) and Q is the point (9, 5).
(a) Find the equation of the line joining PQ.
(b) Find the coordinates of the point where the line PQ intersects the x-axis.
(c) The line y = 5 is the line of symmetry of △PQR. Find the coordinates of R.
(d) Calculate the area of △PQR.
(e) Calculate the length of PQ and hence calculate the perpendicular distance from R to the line PQ.
We get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.
A) We know that the equation of the line is:
y - y₁ = m (x - x₁)
where m = y₂ - y₁ / x₂ - x₁
Now, we have:
P = ( x₁, y₁) = (2, 3)
Q = (x₂, y₂) = (9, 5)
We get m by substituting the values as:
m = 5 - 3 / 9 - 2 = 2 / 7
The equation then will be:
y - y₁ = 2 / 7 (x - x₁)
Substituting the values, we get that:
y - 3 = 2/7 ( x - 2)
7 y - 21 = 2 x - 4
2 x - 7 y - 4 + 21 = 0
2 x - 7 y + 17 = 0
B) When PQ will intersect x-axis, then the point will be = ( x, 0)
2 x - 7 y + 17 = 0
2 x - 7 (0) + 17 = 0
2 x = -17
x = - 17 / 2
Point = (-17 / 2 , 0)
Therefore, we get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.
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The sum of two numbers is -316. One number is 94 less than the other. Find the numbers
If we are asked to to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation, because:
The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0
The y-intercept will be 0
The x-intercept is the point where the graph intersects the y-axis and hence the y-coordinate of that point will be 0
The x-intercept is always at (0, 0)
Answer:
1st one is the right option
Convert the following temperatures from Fahrenheit to Celsius or vice versa.
C= F-32/1.8
F = 1.8C+32
a. 50°F
b. 75°C
c. -40°C
Answer:
10°C
Step-by-step explanation:
c = [tex]\frac{F - 32}{1.8}[/tex] Plug in 50 for F and solve for C
c = [tex]\frac{50-32}{1.8}[/tex]
C = [tex]\frac{18}{1.8}[/tex] Divide
c = 10
Expression for the quotient of twice a number, and the sum of the number and seven
In linear equation , 2n/7 is Expression for the quotient .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Let the number = n
A quotient is the result of a division.
the quotient of twice a number = 2n
= 2n/7
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Виконайте завдання:
Запишіть речення, підкресліть граматичні основи, визначте односкладні та двоскладні речення.
Тихий прихід осені
У лісі з'явилися жовті фарби. Крони дерев ще зелені. Дивишся під ноги, помічаєш перше опале листя. Тиша. Не чути співу пташок. Пташенята давно вивелись. Гнізда порожні. Ледь чутний шум листя, хруст сухого гілля. Природа чекає на зміни.
Перепишіть прислів'я. Де потрібно, поставте тире між підметом і присудком. Підкресліть граматичні основи.
1. Вірний приятель то найбільший скарб.
2. Розум скарб людини.
3. Вовка боятися в ліс не ходити.
4. Щастя біжить, а нещастя лежить.
Перепишіть і визначте вид односкладних речень (за зразком першого речення).
1. Усі національні культури побудовано на шануванні предків (побудовано - присудок, виражений формою дієслова на -но, -то; речення розповідне, неокличне, односкладне, безособове).
2. За рідний край і життя віддай.
3. Батьків і Батьківщину не вибирають.
4. Сучасне українське мистецтво...
5. Ніколи не можна забувати про мовний етикет.
6. Усі ми не в тім'я биті.
Solve for x
|4x + 7| + 9 = 6
Add -9 to both sides.
|4x+7|+9+−9=6+−9|4x+7|=−3Solve Absolute Value.
|4x+7|=−3No solutions. (Absolute value cannot be less than 0.)
Skandar
What is 5+3 72 times
Answer: 576
Step-by-step explanation:
5+3 = 8
8*72=576
Answer:576
Step-by-step explanation: just add and multiply
The total payroll for a baseball team is 2.48 × 109 dollars, and the total payroll for a football team is 2.8 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
0.32 × 109 dollars
2.7752 × 109 dollars
2.7752 × 1011 dollars
3.2 × 1011 dollars
Answer: its c
Step-by-step explanation:
The difference between the payroll of football and baseball is 2.7752 × 10¹¹. Hence, option C is correct.
What is an equation?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations. You can solve equations to determine the value of an unknown variable that represents an unknown quantity.
The payroll of the baseball team is 2.48 × 10⁹ and,
The payroll of the football team is 2.8 × 10¹¹.
So, the football team's payroll is more than the baseball team's payroll by,
(2.8 × 10¹¹) - (2.48 × 10⁹)
= 2.7752 × 10¹¹.
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Help me ASP SHOW UR WORK THANK YOU!!
The value of x is 4 , 12 , - 1 resp. in eq 1 , 2 and 3 .
Finding values of unknown variable x .
Following are linear equations in one variable .
On solving them we get ,
1 ) 2 ( 3 x - 5 ) = - 4 x + 30
6 x - 10 = - 4 x + 30
10 x =40
x = 4
2 ) 5 x - 6 - 3 x = 18
2 x = 18 + 6
2 x = 24
x = 12
3 ) - 11 - 5 x = 6 ( 5 x + 4 )
- 11 - 5 x = 30 x + 24
- 35 x = 35
x = - 1
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(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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Which measurement is closet to the lateral surface area in square centimeters of the cylinder?
H = 7.6
B = 5.8
Answers
A. 164.9 cm (2)
B. 277.0 cm (2)
C. 138.5 cm (2)
D. 191.3 cm (2)
The value closest to the lateral area of the cylinder is 138. 5cm^2. Option C
How to determine the valueThe formula for determining the lateral area of a cylinder is expressed as;
Lateral area = 2 πrh
Where;
r is the radiush is the height of the cylinderNote that radius is half the diameter;
radius, r = 5. 8/ 2 = 2. 9 cm
Substitute into the formula
Lateral area = 2 ( 3. 142 × 2. 9 × 7. 6)
Lateral area = 2 ( 69. 249)
Lateral area = 138. 49 cm^2
Thus, the value closest to the lateral area of the cylinder is 138. 5cm^2. Option C
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An automobile purchased for $28,000 is worth $2500 after 5 years. Assuming that the car's value depreciated steadily from year to year, what was it worth at the end of the third year?
The value 3 years after it was purchased is
Answer:
$3285.47
Step-by-step explanation:
We know the value decreased by a factor of 2500/28000 after 5 years.
This means the value decreased by a factor of (2500/28000)⅕ per year.
Therefore, after 3 years, the value is
[tex]28000(2500/28000)^{3/5} \approx 3285.47[/tex]
Please answer fast..............................................
Answer:
[tex]V=lwh\\\frac{V}{lw} = \frac{lwh}{lw} \\\frac{V}{lw} = h[/tex]
10x-15=15x+50 ise x kaçtır?
Complete the table. File is attached
PLEASE HELP 4/z>3; z=2
answer and steps to get it in the picture
(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Answer:
y=1 x=1
×[[×[+[[+[+[+[+[+[+[+[+[+[[
Find the measure of angle X.
Answer:
x = 23 degrees
Because if you look at diagram x is vertical to angle FBC, and angle FEC and angle EBA are alternate interior angles so they are equal to each other, and AC is a straight line which means it equals to 180 degrees.
[tex]4x+65+x = 180[/tex]
x = 23 degrees
2 and 3 50 points and Brainlyest
AAnswer:
AB (-1, 4) = 34^ and B = (3,-1) 249*32 = 20
Step-by-step explanation:
Answer:
[tex]AB=\sqrt{53}\:\sf units[/tex]
[tex]EF=\sqrt{349}\:\sf units[/tex]
Step-by-step explanation:
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}.[/tex]
Given:
A = (-4, 1)B = (3, -1)Substitute the given points into the distance formula and solve for AB:
[tex]\begin{aligned}\implies AB & =\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\& =\sqrt{(3-(-4))^2+(-1-1)^2}\\& =\sqrt{(7)^2+(-2)^2}\\& =\sqrt{49+4}\\& = \sqrt{53}\end{aligned}[/tex]
Given:
E = (-7, -2)F = (11, 3)Substitute the given points into the distance formula and solve for EF:
[tex]\begin{aligned}\implies EF & =\sqrt{(x_F-x_E)^2+(y_F-y_E)^2}\\& =\sqrt{(11-(-7))^2+(3-(-2))^2}\\& =\sqrt{18^2+5^2}\\& =\sqrt{324+25}\\& =\sqrt{349}\end{aligned}[/tex]
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A thermometer in Grand Forks, North Dakota, reads -4.5 °F in January.
The temperature on the same day in February has the same absolute value
as the temperature in January but is not the same temperature. What is
the temperature in February?
According to this the temperature in February = 4.5°F.
What do you mean by absolute value:The absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5. A number's absolute value can be conceived of as its proximity from zero along the real number line.
Briefing:The temperature on the same day in February has the same absolute vale as the temperature in the January, but is not the same temperature according to this the temperature in February = 4.5°F.
According to the data:The absolute value is the same but not the same temperature:
|-4.5| = 4.5
So,
Its 4.5°F
According to this the temperature in February = 4.5°F.
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could someone please help answer this.
Answer:
C.) Equally as distant.
