Answer:
There are 20345.556... feet in 6.2 km.
Step-by-step explanation:
Given that, 1 mile = 1.609 km and 1 mile = 5280 ft.
That means we can say, 1.609 km = 5280 ft.
So, 1 km = [tex](\frac{5280}{1.609})ft = 3281.541... ft[/tex]
Now, for converting 6.2 km into feet, we will just multiply 6.2 by 3281.541... ft.
Thus, 6.2 km = [tex](6.2 \times 3281.541...)ft = 20345.556... ft[/tex]
So, there are 20345.556... feet in 6.2 km.
Anita began solving the system {x+y=8, x−y=2 by writing 2x=10 .
Which property justifies this step?
Division Property of Equality
Multiplication Property of Equality
Addition Property of Equality
Substitution Property of Equality
Anita began solving the system {x+y=8, x−y=2 by writing 2x=10 .
x+y=8
x−y=2
When we add both equations , we will get 2x = 10
x+x becomes 2x
+y -y becomes 0
8 + 2 becomes 10
So by adding two equations we got 2x = 10
Hence we say Addition Property of Equality.
Addition Property of Equality means adding both sides of equations.
x terms and y terms are added . then number are added on the right side
Answer:
Option C is correct
Addition property of Equality justifies the step.
Step-by-step explanation:
Given the system of equation: x+y = 8 and x-y = 2.
Addition Property of Equality: The method of solving systems of linear equations is the addition Property, in which the two equations are added together to eliminate one of the variables.
Adding the equations states that we add the left sides of the two equations together, and we add the right sides together.
Using the addition property in equation: x+y=8 and x-y =2
then,
[tex](x+y)+(x-y)=8+2[/tex] or
[tex](x+x)+(y-y)[/tex] =10
Eliminate the y- variable; we have
2x=10
Therefore, the only property justifies the step is, Addition Property of Equality.
Gina takes out a loan totaling $5000. The loan has a 5% interest rate that is compounded monthly. What is the total due after 48 months, assuming that she has not made any payments?
Which digit has the greatest value in the number 1,567
1 has the greatest value in the number 1,567.
What is Place value?A number's place value is the worth of each digit. Depending on where it sits in a number, each digit has a varied value. The position of the digit in the number determines whether two similar digits in the same number have different values.
For example, the place value of 5 in 3458 is 5 tens, or 50. However, the place value of 5 in 5781 is expressed as 5 thousands or 5,000.
Given number:
1567
Now, keep looking the place value of each digit
7 - ones ---> 7x 1
6 - tens ---> 6 x 10
5 - hundred ---> 5 x 100
1 - thousand ---> 1x 1000
As, 1 has thousand place value.
Hence, 1 has the greatest value in the number 1,567.
Learn more about place value here:
https://brainly.com/question/27734142
#SPJ2
Which two numbers on the number line have an absolute value of 1? Select the location of both numbers on the number line.
-55 -4 -3 -2 -1 0 1 2 3 4
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!
An on-line electronics store must sell at least $5000 worth of computers and printers per day. Each printer costs $350 and each computer costs $750. The store can ship a maximum of 20 items per day. Which system of inequalities models correctly the number of computers, c, and number printers, p, the store could sell per day?
D is the correct answer I think.
2x+5y=0 x+5y=-10 what is the answer? Solving systems of equations by elimination
Katlyn made 4 dresses with 7 yards of fabric. How much yards did she use on one dress
There are 112 students in the Hammond Middle School marching band. The band director wants students to march with 14 students in each row for the upcoming parade. How many rows will there be
Answer
Find out the how many rows will there be .
To proof
let us assume that the number of the rows will be x.
As given
There are 112 students in the Hammond Middle School marching band.
The band director wants students to march with 14 students in each row for the upcoming parade.
than the equation becomes in the form
[tex]x = \frac{112}{14}[/tex]
x = 8
Therefore the number of the rows will be 8.
Hence proved
Bart and sam played a game in witch each player earns or loses points earned or lost.The player with the greatest score after two turns wins.Bart earned 123 and lost 180 points.Sam earned 185 points and lost 225 points.Use a problem-solving model to find which person won the game.Explain
you need a lot to explain
What is the answer > , <, or = -37/8______-4.63
-3/4x < 12
-
13c < -169
-
5b-28 > 27
3x-7> 4x + 2
-
Solve each inequality for the variable. Show your work
what is the answer math will give brainliest
Hey there!!
Given :
g(x) = ax² + 24
and
g(4) = 8
g(4) = a(4)² +24
g(4) = 16a + 24
8 = 16a + 24
-16 = 16a
a = -1
The constant is -1.
g(-4) =?
g(-4) = -1(-4)² + 24
g(-4) = -16 + 24
g(-4) = 8
The answer is (A)
Hope it helps!
Kris wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students and displayed the results in the table below: In favor Opposed Undecided Grade 9 6 4 8 Grade 10 10 11 9 Grade 11 12 15 11 Grade 12 15 6 14 If the principal randomly selects a student in grade 10 from this survey, what is the probability that the student is opposed to extending the school day?
the table below:
Grade In favor Opposed Undecided Total
Grade 9 6 4 8 18
Grade 10 10 11 9 30
Grade 11 12 15 11 38
Grade 12 15 6 14 35
If the principal randomly selects a student in grade 10 from this survey,
the probability that the student is opposed to extending the school day
P ( student in grade 10 is opposed)= Number of student in opposed(grade10) / total number of students in grade 10
Number of student opposed who is in grade10 = 11
total number of students in grade 10 = 30
P( student in grade 10 is opposed)= [tex]\frac{11}{30}[/tex]
= 0.37
the probability that the student is opposed to extending the school day= 0.37
Final answer:
The probability that a randomly selected grade 10 student from the survey is opposed to extending the school day is 11/30, or approximately 36.67%.
Explanation:
The student's question pertains to the probability of selecting a grade 10 student who is opposed to extending the school day based on the survey results provided.
To calculate this probability, we consider only the grade 10 students. According to the table, there are 10 students in favor, 11 opposed, and 9 undecided within grade 10, making a total of 10 + 11 + 9 = 30 students surveyed in the tenth grade.
The probability that a randomly selected grade 10 student is opposed to an extended school day is the number of grade 10 students opposed divided by the total number of grade 10 students surveyed.
Mathematically, it can be represented as P(Opposed) = Number of opposed students in Grade 10 / Total number of students in Grade 10 surveyed. By plugging in the numbers:
P(Opposed) = 11 / 30
Therefore, the probability is 11/30 or approximately 0.3667, which can be expressed as a percentage by multiplying by 100, yielding about 36.67%.
Help with algebra please (30 points)
[tex]Q6.\\v(x)=x^2-20\\\\v(x+4)=(x+4)^2-20=x^2+2(x)(4)+4^2-20\\=x^2+8x+16-20=x^2+8x-4[/tex]
[tex]TRUE[/tex]
[tex]Q7.\\c(x)=5x^2+12x,\ d(x)=7x+5x^2\\\\c(x)-d(x)=(5x^2+12x)-(7x+5x^2)=5x^2+12x-7x-5x^2\\\\=(5x^2-5x^2)+(12x-7x)=5x[/tex]
[tex]Q8.\\f(x)=6x+1,\ f(a)=25\\\\f(a)=6a+1\\\\\text{substitute}\\\\6a+1=25\qquad|-1\\\\6a=24\qquad|:6\\\\a=4[/tex]
The correct answer is a = 4
Someone help me please? giving away 35 points and brainliest (only if right)
1.Complete the similarity statement for the two triangles shown
Enter your answer in the box Δ XBR~ Δ
Answer:
that guy deserves the brainliest so this is just so you can get it to him
Step-by-step explanation:
-4x+3y=21, where x is time and y is velocity in kilometers per hour. Use this function to determine when a certain particle will reach 30km/hr.
For which equation would x = 0 be a solution?
6x = 1/6
4x = -4
(7 3/8)x = 0
1,000x = 0.001
multiplying by 0 will make the answer 0.
7 3/8(0) = 0
(7 3/8)x = 0
Answer:
The answer is 0 hope this helps
Step-by-step explanation:
The second-largest state in the us is texas, covering 268,580 square miles (including water). What is the approximate radius of a sphere with the same surface area as the area of texas?
The state of texas covers approxmiately 268,581 squared mi. During a hail storm the entire state is covered in 1billion meters of hail.(average radius of 1.4292cm)assume the hail falls so that the gaps of air are limited to 26% of the volume.
Answer:
the answer is C. 146 miles
Which equation represents y = x^2 + 16x + 70 in vertex form?
y = (x + 8)^2 − 16
y = (x + 8)^2 − 64
y = (x + 8)^2 + 68
y = (x + 8)^2 + 6
Answer: D
Step-by-step explanation:
y = x² + 16x + 70
-70 -70
y - 70 = x² + 16x next, complete the square by adding [tex](\frac{16}{2})^{2}[/tex] to both sides
y - 70 + 64 = x² + 16x + 64 remember that x² + 16x + 64 is a perfect square of (x - 8)²
y - 6 = (x + 8)²
+6 +6
y = (x + 8)² + 6
PLEASE HELP!
1. The following formula relates the quantities temperature in Celsius (C) and temperature in kelvins (K). C = K − 273.15
(a) Write two other related equations.
(b) If the temperature is 23 in degrees Celsius, what is the temperature in kelvins? Show your work.
(c) Which is greater, 300 kelvins or 25 degrees Celsius? Show your work.
A: The other related equations would be:
K = °C + 273.15
K = °F + 457.87
Note: There are other equations that can be related, these are just ones that I find to be related. This is open to interpretation.
B:
23° C + 273.15 = 269.15 K
C:
300 K - 273.15 = 26.85 °C
300 Kelvins is greater than 25 degrees Celsius.
What is the result of dividing 2x^3+6x^2+6x+2 by x+1 ?
PLEASE HELP, WILL GIVE 5 RATING
2x² + 4x + 2
using long division to obtain the quotient
The result of dividing the polynomial 2x³ + 6x² + 6x + 2 by x + 1 is 2x² + 4x + 2, which can be obtained using synthetic division.
Explanation:The given question is about polynomial division. To divide a polynomial, we commonly use long division or synthetic division. In this case, we are dividing the polynomial 2x³ + 6x² + 6x + 2 by (x + 1).
Using synthetic division, we get:
First, write down the coefficients of the dividend polynomial (2, 6, 6, 2) and below them the divider (in this case, -1, because we have 'x + 1' and '-1' is the root of 'x + 1'). Copy down the leading coefficient (2 in this case) to the bottom line. Multiply it by the root identified earlier, and add it to the next coefficient (2*-1 = -2; 6 + -2 = 4). Repeat this process (4*-1 = -4; 6 + -4 = 2). At the end, you should see that the remainder is zero (2*-1 = -2; 2 + -2 = 0).
Therefore, the quotient is 2x² + 4x + 2.
Learn more about Polynomial Division here:https://brainly.com/question/36507743
#SPJ2
Torri had $20 to buy a birthday present for her dad. She decided to buy a DVD for $18. The sales tax is 7%. Does que have enough money? Explain your reasoning.
PAGEANT is most similar in meaning to beauty, sovereign, gallant, show?
The term 'pageant' is most similar in meaning to 'show.' Both terms refer to public exhibits or performances intended to entertain.
Explanation:The word pageant is conceptually closest in meaning to the term 'show.' A pageant typically refers to a public entertainment consisting of a procession of people in elaborate, colorful costumes, or an outdoor performance of a historical scene. This coincides with the term 'show,' which generally signifies a public display or exhibition, especially when intended to entertain. Drawing from the research conducted by anthropologist Marcia Ochoa, we commonly see pageants in the context of beauty competitions, such as Miss Venezuela, or similar contests held by specific communities, such as transformistas in Venezuela. These events focus on the public presentation of candidates, much like a show.
Learn more about Pageants here:https://brainly.com/question/31758608
#SPJ11
The word “pageant” is most similar in meaning to “show”.
The word “pageant” is derived from the Latin word "pagina," which means a play or stage. In modern usage, a pageant is a public entertainment consisting of a procession of people in elaborate, colorful costumes, or an outdoor performance of a historical scene. It’s essentially a type of show that is often grand and celebrates a special event or anniversary.
Beauty: This term often refers to a combination of qualities, such as shape, color, or form, that pleases the aesthetic senses, especially the sight. In the context of a beauty pageant, it’s a show that judges its contestants primarily on their physical appearance. However, the term “beauty” itself doesn’t convey the aspect of a show or performance that “pageant” does.
Sovereign: This term refers to a supreme ruler, especially a monarch. A sovereign might be a figure in a pageant, but the word “sovereign” itself refers to a position of power and rule, not a show or performance.
Gallant: This term is used to describe someone brave, heroic, or chivalrous. A person might behave gallantly in a pageant, but again, the word “gallant” itself doesn’t convey the meaning of a show or performance.
So, among the options provided, “pageant” is most similar in meaning to “show”, as both involve a public display or performance.
There's 6 times as many dogs as cats.If the total number of dogs and cats is 35, how many dogs are there?
Let cats = X
Then doges = 6x ( 6 times as many cats, so multiply 6 by number of cats)
Now you have X + 6X = 35 ( number of cats plus number of doags equal 35)
X +6x = 35
Simplify:
7X = 35
Divide both sides by 7 to solve for x:
X = 35 / 7
X = 5
Cats = X, so there are 5 cats.
Dogs = 6X = 6(5) = 30 total dogs.
2. Solve the following system. Show all your work. -3x + 2y + z = -6 x + 3y + 2z = 5 4x + 4y + 3z = 13 Is there a step I'm skipping because every time I add the first 2 equations, I keep getting -2x + 5y + 3z with no variables eliminated.
-3x + 2y + z = -6
(3)x + 3y + 2z = 5(3) We want to get rid of any variable within 2 equations. The easiest one would be by multiplying both sides of eq#2 by 3 and add it to eq#1.
-3x+2y+z=-6
3x+9y+6z=15
Add them together to get 11y+7z=9
(-4)x+3y+2z=5(-4) Now,multiply the original eq#2 by -4 to cancel out x in the last equation
-4x-12y-8z=-20
4x + 4y + 3z = 13
add them together to get -8y-5z=-7
Now multiply the eq 11y+7z=9 by 5 and the equation -8y-5z=-7 by 7 to cancel out the z variable when we add them together.
Once we multiply them, we get
-56y-35z=-49
55y+35z=45
add them together to get -y=-4 and we know y=4
substitute y into any equation here that has y and any other 1 variable like -8y-5z=-7 and get z=-5
Finally, we know y=4 and z=-5, we can substitue that into any of the original eqs like -3x + 2y + z = -6 and we get x=-3
To check, just substitute these values into any of the equations above
Express 15$ for 10 gallons as a unit rate
That would be $1.50 per Gallon
The angle measurements in the diagram are represented by the following expressions.
the expression 9/2÷3 is the same as
Answer:
4.5 ÷ 3
Step-by-step explanation:
9/3 = 4.5
therefore this is the same as the previous expression
Final answer:
The expression 9/2 / 3 is equivalent to 9/2 * 1/3, which simplifies to 9/6 or 1.5. This multiplication by the reciprocal ensures the equality of the operation.
Explanation:
The expression 9/2 / 3 can be understood in terms of multiplication and division. When we divide by a number, it is the same as multiplying by its reciprocal. In this case, dividing by 3 is the same as multiplying by 1/3. Hence, we can rewrite the expression as 9/2 * 1/3.
To calculate this, we multiply the numerators together and the denominators together:
(9*1) / (2*3) = 9 / 6 = 1.5, or 3/2 when written as a fraction.
Performing the same operation on both sides of the equals sign maintains the equality. So, if any fraction has the same number in the numerator and the denominator, that fraction is equal to 1.
What is 28.37 rounded to nearest whole number
The number after rounded to nearest whole number is,
⇒ 28
We have to given that,
To round the number 28.37 nearest whole number.
Since, Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value.
Here, Number is,
28.37
Since, 3 < 5
Hence, The number after rounded to nearest whole number is,
⇒ 28
Learn more about the rounding number visit:
brainly.com/question/27207159
#SPJ6
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!
Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like terms? y = 2x 2x + 3y = 16
A. 8x = 16
B. 4x = 16
C. 5x = 16
D. 5y = 16
By substituting y = 2x into the second equation and combining like terms, we get the equation 8x = 16.
Explanation:This question is from the field of Algebra. You are asked to substitute the first equation into the second equation, then simplify by combining like terms. Substituting y = 2x from the first equation into the second equation 2x + 3y = 16, we replace y with 2x, thus transforming the second equation into 2x + 3(2x) = 16. Distributing the 3 to the 2x within the parentheses gives us 2x + 6x = 16. By combining the like terms on the left side, we get 8x = 16 which is option A.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ3