Joey must work 26 weeks until he has enough to purchase the car.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
Joey wants to buy a used car,
The cost of the car is $2500.
The money he has saved is $1200
The money he makes by walking a dog is $50 per week.
Let w represent the number of weeks.
The equation for the condition can be written as:
The cost of the car is equated with the money he has and the money he earned in w weeks by dog walking.
2500 = 1200 + 50w
To determine the number of weeks he has to work to buy the car, the equation has to be solved for w,
50w = 2500 - 1200
50w = 1300
w = 1300 / 50
w = 26 weeks.
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Solve by using a matrix
{7x+2y=5
{13x+14y=-1
// Solve equation [2] for the variable y
// Plug this in for variable y in equation [1]
// Solve equation [1] for the variable x
// By now we know this much :
x = 1 y = -13x/14-1/14// Use the x value to solve for y
A survey at your school found that 792 in 1,220 students have a cell phone. what percent of the students in school has a cell phone? round to the nearest hundredth where necessary.
64.84% of the students in the school have a cell phone.
To find the percentage of students with cell phones, divide the number of students with cell phones by the total number of students, then multiply by 100.
Find the fraction of students with cell phones: [tex]\( \frac{792}{1220} \)[/tex].
Divide to get the decimal: [tex]\( \frac{792}{1220} = 0.6484 \)[/tex].
Multiply by 100 to get the percentage: [tex]\( 0.6484 \times 100 = 64.84\% \)[/tex].
How is 10 ounces written using apothecary abbreviations?
Apothecary abbreviations or apothecary symbols are usually found in medical recipes. For this case, we are to write 10 ounces into apothecary symbols. In this abbreviation, numbers are written in Roman Numeral and the unit precede the number, hence:
oz x
10 ounces can be written as 10 oz in apothecary abbreviations.
Explanation:To write 10 ounces using apothecary abbreviations, we need to convert ounces to the appropriate apothecary unit. In the apothecary system, 1 ounce is abbreviated as oz. So, 10 ounces would be written as 10 oz in apothecary abbreviations.
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How to find the rate of change of the volume of cone?
3(6/8−1/2)+0.25 Please help with fractions
Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours that she works?
Mari works at most 20 hours per week.
Explanation:To find the greatest number of hours that Mari works, we can divide her total weekly earnings by her hourly wage. In this case, we divide $143.50 by $7. The result is approximately 20.5. Since Mari cannot work a fraction of an hour, we round down to the nearest whole number. Therefore, the greatest number of hours she works is 20 hours.
On a clear day you can see about 27 miles from the observation deck of the Empire State Building in New York City. Using the formula below, estimate the height in feet ,h, of the observation deck.
Answer:
Step-by-step explanation:
Alright, lets get started.
Distance we can see from the building d is given as 27 miles.
We are asked to find height of the building h
The formula is given as [tex]d=\frac{5}{6}\sqrt{h}[/tex]
Plugging the value of d
[tex]27=\frac{5}{6}\sqrt{h}[/tex]
Cross multiplying
[tex]\sqrt{h}=\frac{6}{5}*27[/tex]
[tex]\sqrt{h}=32.4[/tex]
Taking square root on both sides
[tex]h=1049.76[/tex]
So, the height of the observation desk is 1050 feet. : Answer
Hope it will help :)
Find the derivative of f(x) = 7 divided by x at x = 1.
The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.
What is derivative?A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.
here, we have,
given that,
the derivative of f(x) = 7 divided by x at x = 1.
so, we get,
F(x) = 7/x
Same as..
F(x) = 7x^-1
we know that,
d/dx (x^n) = n*x^n-1
so, using this, we get,
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
Hence, The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.
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Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. This table shows how much water, in gallons, remains at different times during the day. Time (h) 2 4 6 8 Water remaining (gal) 43 36 29 22 What is the equation that represents Yulian’s situation, where x represents the time and y represents the amount of water? Enter your answer in the boxes. y−29=___ (x−___ )
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
1. 7, 1+i
2.
The polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros 7, 1 + i, and 1 - i is f(x) = x^3 - 9x^2 + 21x - 14.
Explanation:In mathematics, zeros are the x-values where a function touches or crosses the x-axis, or the values where f(x) = 0. When a polynomial has rational coefficients and you have a complex zero (a + bi), the conjugate of that zero (a - bi) also needs to be a zero of the polynomial. This is based on the Complex Conjugate Root Theorem. Hence, in this case, the other zero will be 1 - i.
Since you are given zeroes of 7, 1 + i, and 1 - i, the polynomial function of least degree is obtained by employing the Factor Theorem, which states that if k is a zero of a polynomial, then (x - k) is a factor of the polynomial.
Therefore, f(x) = (x - 7)(x - (1 + i))(x - (1 - i)) = (x - 7)(x^2 - 2x + 2). So, f(x) = x^3 - 9x^2 + 21x - 14 is the polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros.
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How to find third point between two points given coordinates?
Wilma and Betty are playing a number game. Wilma tells Betty, "I'm thinking of a number between 1 and 10. If I take the number and add 4 to it and then multiply that by 3, I get 30." What number is Wilma thinking of?
A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which has the fastest average speed
Which set of ordered pairs could be generated by an exponential function?
A. (1, 1) (2, 1/2) (3, 1/3) (4, 1/4)
B. (1, 1) (2, 1/4) (3, 1/9) (4 1/16)
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
D. (1, 1/2) (2, 1/4) (3, 1/6) (4, 1/8)
The correct answer is:
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
Explanation:
In order to be an exponential function, the y-coordinates of each point should be multiplied by a constant to get the next y-coordinate. For C, we multiply by 1/2:
1/2(1/2) = 1/4; 1/4(1/2) = 1/8; 1/8(1/2) = 1/16
This means it is an exponential function.
Chris draws an image of two lines that lie in the same plane and are equidistant at all points .Which of this describes the image drawn by Chris
The answer for this question is parallel lines
HELP PLEASE!!!!!!!
Simplify 6r · s · 4rt.
10rst
10r2st
24r2st
Answer:
24r^2*s*t
Step-by-step explanation:
We can simply the following expression by looking at the which terms are common:
[tex]6*r*s*4*r*t[/tex]
We have two of r and according to the product rule we can add there exponents:
[tex]r*r=r^(1+1)=r^2[/tex]
Therefore the expression can be simplified as:
[tex]=6*4*s*t*r^2=24*s*t*r^2[/tex]
Three consecutive odd integers have a sum of 33 . find the integers.
Can y'all help me with 7,8,9?????
k + k divided by 2 when k = 20
The petting zoo is not closed and the animals are not being fed by people.
write the statement that is logically equivalent to the statement
De Morgan's laws of distributing negation over disjunction and conjunction states that
Select the equation that most accurately depicts the word problem.
The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
68 = 9L + 2
68 = 2L + 2(9)
68 = 9(L + 2)
68 = + 2(9)
68 = +
68 = 2(L - 9)
Answer:
68 = 2L + 2(9)
Step-by-step explanation:
Which is a correct expansion of (2x+3)(2x^2-5)
A. 2x•2x^2+2x•(-5)+3•2x+3•(-5)
B. 2x•2x^2+2x•(-5)+3•2x^2+3•(-5)
C. 2x•2x^2+3•2x^2+2x^2•(-5)+3•(-5)
Answer: B
2X.2X^2+2X.(-5)+3.2X^2+3.(-5)
Step-by-step explanation:
(2X+3) (2X^2-5)
Cross multiply (2X+3) by (2X^2-5)
2X*2X^2+
2X*(-5)+
3*2X^2+
3*(-5)
= 2X*2X^2+2X*(-5)+3*2X^2+3*(-5)
Write an equivalent expression for 5x + 2y + 3x
The equivalent expression is 8x + 2y.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x + 2y + 3x
Add like terms.
8x + 2y
Thus,
The final expression is 8x + 2y.
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Is this statement true or false? If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
The statement " If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are paralle " is true.
What is Property of Parallel lines?If the corresponding angles created by any two lines are equal, then the lines are said to be parallel.If the alternate internal angles created are equal, any two lines are considered to be parallel.If the alternate outside angles created are equal, any two lines are considered to be parallel.Given:
If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
We know whenever we have parallel line intersected by transversal line then we Alternate Interior Angle, Corresponding Angle, Alternate Exterior Angle, are congruent.
Thus, the statement showing when we have Alternate Interior Angle congruent then the lines were be parallel lines.
Hence, the statement is True.
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A cylinder has a radius of 6 inches and a height of 2 feet. Which of the following should be done first in order to find the volume of the cylinder?
convert the radius and the height to the same unit
determine the diameter of the circle
calculate the circumference of the circle
multiply the circumference of the circle by the height of the cylinder
Which equation exemplifies the Associative property of addition?
8+2=2+8
4+(2+1) = (4+2)+1
4+5=1+8
9(5•6)=(9•5)6
Answer:
Equation which exemplifies the associative property of addition is:
4+(2+1) = (4+2)+1
Step-by-step explanation:
The associative property of addition says that:
if a,b and c are the three terms
Then,
a+(b+c)=(a+b)+c
which is given in the equation:
4+(2+1) = (4+2)+1
Hence, equation which exemplifies the associative property of addition is:
4+(2+1) = (4+2)+1
The measure of each interior angle of a regular polygon is eleven times that of an exterior angle how many sides does the polygon have
The polygon would have 24 sides.
[tex]\frac{180n - 360}{n}[/tex] ≈ [tex]\frac{360}{n}[/tex] ([tex]\frac{11}{1}[/tex])
[tex]\frac{180n - 360}{n}[/tex] = [tex]\frac{3960}{n}[/tex]
180n - 360 = 3,960
180n = 4,320
n = 24
What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?
Enter your answer in the box. Do not round any side lengths.
____ units
The other answer was using the formula correctly through most of the problem, but made a mistake when finding the last distance (#5). The person took away (-2-6 = - 4), which is incorrect. The correct answer is -8 because your adding two negatives. So, the correct answer for the whole problem is 24 units.
Good job to the person who answer they did the whole math problem - just made a little mistake at the end.
What geometric term does the flight path of a plane on radar represent?
A line B plane C angle D point
the answer is A. Line
The Geometric Term that best approximates this reality is option A (A line).
Planes usually travel in a straight Line at constant Speed, Flight Path represents the Trajectory taken by the Plane and shown on radar, which can be either a Line or a Curve.
Hence, the Geometric Term that best approximates this reality is option A (A line).
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The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma house . How many cups of oil did your car leak ?
The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house. Therefore, it would be 2 cups and 4 oz leaked out.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house.
There are 8 oz in a cup
So,
8 x 3 = 24 which is too high
So,
8 x 2 = 16 leaving about 4 oz left
Therefore, it would be 2 cups and 4 oz leaked out.
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