The statements below to explain two ways to convert miles to kilometers is
Kilometers are 0.62 miles , That means the number of kilometers in a distance will always be 0.62 the number of miles in that distance.We can convert miles to kilometers by multiply by 1.61.We can convert kilometers to miles by multiply by 0.62.What is unit conversion?Unit conversion can be described as the conversion that can be made to convert an item in a particular unit to another unit.
From above the conversion rate for the conversion of miles to kilometer and there conversion of kilometer was given , which can be used in making the conversion.
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Order from LEAST TO GREATEST
15%,14.8, 154/5 , 1450%
Answer:
assuming the percents are out of 100 the order is
14.8 then 15% then 154/5 then 1450%
if thats not the case let me know and i'll correct it
Step-by-step explanation:
15% of 100 = 15
154/5 = 30.8
1450% of 100 = 1450
Which of the following best describes the difference in the results for the special products (A+B)^2 and (A-B)^2?
Answer: 4AB
Step-by-step explanation:
[tex](A+B)^2-(A-B)^2=\\((A+B)+(A-B))((A+B)-(A-B))=\\(A+B+A-B)(A+B-A+B)=\\(2A)(2B)=\\4AB[/tex]
Picture below.
Help pls
x = 5 is the value of x in exterior angle.
Why is this term "exterior angle" used?
They are created on the polygon's exterior or exterior side. Since they both lie on the same straight line, the total of an inner angle and its matching outside angle is always 180 degrees. The exterior angles of the polygon in the figure are 1, 2, 3, 4, and 5.∠QRS is exterior angle .
apply exterior angle theorem in ΔPQR
So, ∠QRS = ∠PQR + ∠RPQ
8x - 9° = 3x + 12° + 3x - 11°
8x - 9 = 6x + 1
8x - 6x = 1 + 9
2x = 10
x = 10/2
x = 5
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Craig has a job washing cars. He earns $28 for each car he washes. On Monday, he washed 7 cars. On Tuesday, he forgot to count how many cars he washed. He earned $448 for the two days. Josiah wants to find how many cars he washed on Tuesday.
Answer:
9.
he washes 9 cars on Tuesday.
Step-by-step explanation:
28 * 7 = 196.
448 - 196 = 252
252 / 28 = 9
On solving the linear equation 28x + 196 = 448, we get that Craig washed 9 cars on Tuesday.
What is an linear equation in one variable?Linear equation is an equation containing one unknown variable with power one and constants.
The standard form of an linear equation in one variable x is :
ax + b = 0 , where a, b are constants
x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting , multiplying or dividing same number to both sides.
Given that Craig washes cars and earns $ 28 for each car . He washed 7 cars on Monday.
Let on Tuesday he washed x cars
Total money earned on Tuesday and Monday by Craig = $448
Money earned on Monday = $ 7× 28 = $ 196
Money earned on Tuesday = $ x×28 = $ 28x
⇒ 28x + 196 = 448
Subtracting 196 from both sides we get
⇒ 28x + 196 -196 = 448 - 196
⇒ 28 x = 252
Dividing both sides by 28
⇒ x = 252/28 = 9
Therefore, Craig washed 9 cars on Tuesday.
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Help me find the equation in point-slope form for this graph please
The equation of the line in the point-slope form is y + 3 = 1/2(x - 5)
Equation of a line in point-slope formFrom the question, we are to determine the equation of the given line in point-slope form
First, we will determine the slope of the line
Using the points (1, -5) and (3, -4)
From the formula,
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (-4 - -5) / (3 - 1)
Slope = ( -4 + 5) / 2
Slope = 1/2
Now,
For the point-slope form of the line
Using the point-slope form of the equation of a straight line,
y - y₁ = m(x - x₁)
Where m is the slope
The given point is (5, -3)
Thus,
The point-slope form of the line is
y - -3 = 1/2(x - 5)
y + 3 = 1/2(x - 5)
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Consider the points: (1,2), (2,3),(3,2).(4,5).(5,2.5),(6,6).(7,3).(8,7 What is the Linear Regression for the points given?
Answer: Slope 0.5298 ± 0.2372
Y-intercept 1.429 ± 1.198
X-intercept -2.697
Step-by-step explanation: I hope that helped
Mason and his children went into a movie theater and he bought $36.50
worth of candies and pretzels. Each candy costs $4.25 and each pretzel costs
$3.50. He bought 6 more pretzels than candies. Write a system of equations
that could be used to determine the number of candies and the number of
pretzels that Mason bought. Define the variables that you use to write the
system.
Answer:
4.25c + 3.5p = 36.50
c + 6 = p
c = candies and p = pretzels
Step-by-step explanation:
So for the first equation, the prices will be the coefficients of each variable, since for each candy/pretzel it will be that price. We also know that both of these prices together equal 36.50, so that will be on the other side of the equal sign. So the equation representing this info is 4.25c + 3.5p = 36.50
And for the second equation I saw that Mason bought 6 more pretzels than candies. So no matter what number the candies is, the pretzels should always be 6 more than the candies. So the equation representing this information is c + 6 = p
Lastly I just defined the variables that I used to right the system. That is all! Hope this helps you this should be correct :)
Show all work to multiply: (3+sqrt(-16)(6-sqrt(-64)
Please only CORRECT ANSWERS. Don't answer if you don't know.
Answer:
50
Step-by-step explanation:
Complex numbers:i^2 = -1
First simplify the radicals. Then use FOIL method
[tex]\sf (3 + \sqrt{-16})(6-\sqrt{-64}) = (3 +\sqrt{i^2*4^2})(6-\sqrt{i^2*8^2})[/tex]
= ( 3 + 4i)(6 -8i)
= 3*6 - 3*8i + 4i*6 - 4i*8i
= 18 - 24i + 24i - 32i^2
= 18 - 24i + 24i - 32*(-1)
= 18 - 24i +24i + 32
= 18 + 32 - 24i + 24i
Combine like terms,
= 50
5. Zach had a salary of $75,000 last year. He also received $4,500 in interest income from a CD he opened a few years ago. He contributed $4,000 to an IRA and had to move to another state for his new job. His moving expenses were $5,000. He is an unmarried man, with no dependents, and claims himself as an exemption. Standard deduction is $5700 for single, and exemption rate is $3,650 per exemption. What was Zach’s gross income?
Zach’s gross income was $79,500.
What is gross income?Gross income or gross pay for an individual is the total financial income that he or she earns before paying taxes or other deductions. Wages, dividends, capital gains, company revenue, retirement distributions, and other income are all included in your gross income. Salary, bonuses, tips, hourly pay, rental income, dividends from stocks and bonds, and savings account interest are all examples of earned income.Given:
Zach's salary = $75,000
His interest income from a CD = $4,500
Expenses = $5,000
Contribution to an IRA = $4,000
Standard deduction = $5700
Exemption rate = $3,650
Zach’s gross income = Salary + interest income
= $75,000 + $4,500
= $79,500
Therefore, Zach’s gross income was $79,500.
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Garden Avenue Middle School has 23 boxes of math books delivered each box contains 12 books a group of four Math teachers divide the books of evenly amongst the cells for their students how many books did each math teacher receive
Step-by-step explanation:
this is very roughly converted from the original question, I bet. no punctuation marks and, and ...
what I understood of the important information is :
there are 23 boxes of books with 12 books in each.
there are 4 teachers dividing the books evenly among themselves for their cells (classes ?) of students.
so, we need to divide the books by 4 to distribute them evenly into 4 parts.
23×12/4 = 23×3 = 69
each teacher got 69 books.
please help me answer this thanks!
The weight of a person in Venus who weighs 210 pounds on Earth is 185.5 pounds.
It is given in the question that weight of a person on Venus varies directly with his or her weight on Earth. Also, a person weighing 120 pounds on Earth weighs 106 pounds on Venus.
We have to find the weight of the person in Venus who weighs 210 pounds on Earth.
Let weight on Earth be e and,
weight on Venus be v.
From the data given in the question, we can write,
e ∝ v
e = kv
Where k is the constant of proportionality
120 = k*106
k = 120/106 = 60/53
Hence, we can write,
210 = (60/53)*v
(210*53)/60 = v
v = 185.5 pounds
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Find the coordinates of J if K(-2, 6) is the midpoint of JL and L has coordinates (-1, -3).
The the coordinates of endpoint J on line segment JL with a midpoint of (-2, 6) is ( -3,15 ).
How determine the a second endpoint from a point and a midpoint?A midpoint is simply a point that divides a line segment into two equal halves.
The midpoint formula is expressed as;
M = ( (x₁+x₂)/2, (y₁+y₂)/2
Given the data in the question;
Midpoint K(-2, 6)
x = -2y = 6Point L(-1, -3).
x₂ = -1y₂ = -3Point J
x₁ = ?y₁ = ?To determine the coordinate of point J, plug the given points into the midpoint formula above and simplify.
First, we get the x-coordinate of point J
x = (x₁+x₂)/2
2x = x₁ + x₂
2( -2 ) = x₁ + ( -1 )
-4 = x₁ - 1
x₁ = -4 + 1
x₁ = -3
Next, we get the y-coordinate of point J
y = (y₁+y₂)/2
2y = y₁ + y₂
2(6) = y₁ + (-3)
12 = y₁ - 3
y₁ = 12 + 3
y₁ = 15
Therefore, the coordinates (x₁,y₁) of the endpoint point J is ( -3,15).
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What are the roots of the roots of the function f(x)=x^2+2x-1?
Answer:
Exact form: x= -1 ± √2
Decimal Form: x= 0.41421356..., -2.41421356...
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros) replace with 0 and solve for x.
Name the property that the
statement illustrates: If B = D,
then D = B.
Answer:
Property of Equality
Step-by-step explanation:
B=D and D=B so they are the same value so its a property of equality
twenty-seven percent of primary care doctors think their patients receive unnecessary medical care. if required, round your answer to four decimal places.
Incomplete question.No requirement of question
identify the point that does not appear to fit in the pattern
Answer:
add a picture
Step-by-step explanation:
45= 3x3x5 75=3x3x5 Which factors, and how many, do both 45 and 75 share?
In case whereby the factors of 45= 3x3x5 and 75=3x3x5 given the factors, that both 45 and 75 share are 3, 5 , which are two factors
What is factors of 45 and 75?The factors of the two given numbers 45 and 75 can be seen as those whole numbers that when it is been used to divide the numbers 45 and 75 will have no remainders.
For instance , if we divide 45 by 3 then we will have 15 which do no have any remainder, same with when we divide 45 by 5 , it will have no remainder, same thing can be done to 75, we can divide it by 3 as wel as 5 without getting any remainder.
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Tom wants to have friends over for a cookout. He wants to make quarter pound hamburgers for each person. His guest list has 25 people on it. How many pounds of hamburger will he need to buy?
Answer:
6.25
Step-by-step explanation:
a quarter=1/4 which is 0.25; 0.25 for each person is 0.25(25)=6.25
Write the equation of the line that passes through the given points.
(0, -1) and ( - 13, -4)
We typically write linear equations in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Solving the QuestionWe're given:
Line passes through (0, -1) and ( -13, -4)1) Determine the slope (m)
To find the slope, we can use the slope equation:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points through which the line passes
⇒ Plug in the given points:
[tex]m=\dfrac{-1-(-4)}{0-(-13)}\\\\m=\dfrac{-1+4}{0+13}\\\\m=\dfrac{3}{13}[/tex]
Therefore, the slope of the line is [tex]\dfrac{3}{13}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\dfrac{3}{13}x+b[/tex]
1) Determine the y-intercept (b)
In this case, the y-intercept is already given to us.
The y-intercept is the value of y when x=0. Given that the line passes through (0,-1), we know that this is -1.
Plug this into [tex]y=\dfrac{3}{13}x+b[/tex]:
[tex]y=\dfrac{3}{13}x+(-1)\\\\y=\dfrac{3}{13}x-1[/tex]
Answer[tex]y=\dfrac{3}{13}x-1[/tex]
Evaluate 12/7 x 5/5
Enter your answer as a proper fraction or mixed number
Answer:
1 5/7
Step-by-step explanation:
12/7 x 5/5 = 60/35 or 1 5/7
Figure W is the result of a transformation on Figure V. Which transformation would accomplish this?
Answer:
each point needs to be transformed using (-y,x) for the new coordinate
what is the polynomial function axis for Degree 4 Zeros "-3," 4, 6
The equation of the polynomial is P(x) = (x - 4)(x - 6)(x + 3)²
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the polynomial equation?The given parameters are
Degree of polynomial = 4Zeros = -3, 4 and 6−3 is a zero of multiplicity 2The sum of multiplicities of the polynomial equation must be equal to the degree.
This means that the multiplicity of the zeros 4 and 6 is 1
The equation of the polynomial is then calculated as
P(x) = (x - zero)^ multiplicity
So, we have
P(x) = (x - (-3))² * (x - 4) * (x - 6)
This gives
P(x) = (x - 4)(x - 6)(x + 3)²
Hence, the equation is P(x) = (x - 4)(x - 6)(x + 3)²
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If m/A = 3x – 15, find the values for x that would ensure is an acute angle
Answer: 5<x<35
Step-by-step explanation:
An acute angle ranges from 0 to 90 degrees.
[tex]0 < 3x-15 < 90\\\\15 < 3x < 105\\\\5 < x < 35[/tex]
||3x-1|+5|<1 pls solve
Answer: No Solution
Step-by-step explanation:
||3x - 1| + 5| <1 ⇒
[tex]\left \{ {{|3x - 1| + 5 < 1} \atop {|3x - 1| + 5 > -1 }} \right.[/tex] ⇒
[tex]\left \{ {{|3x - 1| < -4} \atop {|3x - 1| > -6} \right.[/tex] ⇒
The first equation does not make sense because absolute value and as it is a system of equations, the whole system does not have a solution.
Select a month. Then select 2020 or 2025.
How many outcomes are there?
Answer:
September2020
13outcomes
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1800. The law firm designated twice as many partners as associates to the case and was able to charge the client $17600 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
The equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case is: 800 x + 1800 y = 17600.
EquationLet variable x =represent the number of associates, assigned to the case
Let variable y represent number of partners assigned to the case.
The system of equations re:
800 x + 1800 y = 17600
y = x + 2
Plug equation 2 in equation 1, we get,
800 x + 1800(x+ 2) = 17600
2600 x + 3600 = 17,600
Collect like terms
2400 x = 14,000
Divide both side by 2400x
x = 14,000 / 2400
x = 5.8
x = 6 (Approximately)
So,
y = x + 2
y = 5.8 +3
y = 7.8
y = 8 (Approximately)
Therefore the number of associates assigned to the case were 6, and the number of partners associated to the case were 8.
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3x-6x+x+2=180
What is PQR
[tex] - 2x + 2 = 180 \\ - 2x = 180 - 2 \\ - 2x = 178 \\ \frac{ - 2x}{ - 2} = \frac{178}{ - 2} \\ x = - 89[/tex]
ATTACHED IS THE SOLUTION of X
2 + 2 + + 2 + 2 + 2 + 2+ 2 =
(HELP ME)
Answer:
INVALID or 16
Step-by-step explanation:
The answer would be invalid due to the double addition signs.
However, if you meant to put a 2 in between those signs, it would be:
4+2+2+2+2+2+2
6+2+2+2+2+2
8+2+2+2+2
10+2+2+2
12+2+2
14+2
16
Answer:
Step-by-step explanation:
14
PLEASE ANSWER IF YOU KNOW THIS ALGEBRA
Alternate interior angles are congruent if the two parallel lines are intersected by the transversal.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.
The parallel lines in the diagram has two red arrows on it.
The transversal line is the one that cut the other two parallel lines.
The angles formed are 9x + 5 and 10x - 5.
Therefore, if the two parallel lines are intersected by the transversal then alternate interior angles are congruent.
Hence,
9x + 5 = 10x - 5
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A shipping box has a volume of [tex]5x^{5} -1[/tex]. Its height can be represented by [tex]5x+5[/tex]. What is the area of the box on the floor?
A. [tex]x^{4} +x^{3}+ x^{2} +x+1-\frac{4}{5x+5}[/tex]
B. [tex]-x^{4} +x^{3}- x^{2} +x-1+\frac{6}{5x+5}[/tex]
C. [tex]x^{4} -x^{3}- x^{2} -x-1-\frac{4}{5x+5}[/tex]
D. [tex]x^{4} -x^{3}+ x^{2} -x+1-\frac{6}{5x+5}[/tex]
Answer:
D. [tex]x^4-x^3+x^2-x+1-\frac{6}{5x+5}[/tex]
Step-by-step explanation:
Volume of a rectangular box = Base Area x Height
V = Ah
Here we are give V and h and asked to compute A
From the equation for V, dividing both sides by h gives
V/h = A
A = V/h
V = 5x⁵ - 1
h = 5x + 5
[tex]V = \dfrac{5x^5-1}{5x + 5}[/tex]
The simplified result is [tex]x^4-x^3+x^2-x+1-\frac{6}{5x+5}[/tex]
I solved this using synthetic division and can provide the steps if you want