The prefix 'kilo' stands for 'one thousand'. So, 1 km = 1000m
This obviously implies that 8km is the same as 8000m
1 kilometer = 1000 meters
8 kilometers = 1000 meters × 8
Ans = 8000 meters
If you need a better explanation just as in the comments.
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V-10=-9 it’s for math
Answer:
v = 1
Step-by-step explanation:
V - 10 = -9
V = -9 + 10
v = 1
1. Evaluate: 5 ÷1 + 3 + 7
Answer:
15
Step-by-step explanation:
5÷1+3+7
PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
5÷1= 5, then 5+3=8, then 8+7= 15
The circumference (C) of the base of a grain silo is 160 feet. To the nearest tenth, what is the radius (r) of the silo? (C = 2πr)
A) 18.5 feet
B) 25.5 feet
C) 50.9 feet
D) 64.8 feet
Answer: B) 25 feet
Step-by-step explanation:
The formula to find the circumference of a circle is given by :-
[tex]C=2\pi r[/tex], where r is the radius of the circle. (1)
Given : The circumference (C) of the base of a grain silo is 160 feet.
Then,by using (1), we have
[tex]160=2(3.14)(r)\\\\\Rightarrow\ r=\dfrac{160}{2\times3.14}\\\\\Rightarrow\ r=25.4777070064approx25.5\text{ feet }[/tex]
Hence, the radius (r) of the silo= 25 feet
Write the equation of the line through (3, −1) and parallel to 2x−y=6.
Answer:
2x - y = 7
Step-by-step explanation:
Parallel lines have the same slope and the equation will have the same form
That is
2x - y = c ← c will have different values depending on the point it passes through.
Here the line passes through (3, - 1 ) , thus substituting into the left side
2(3) - (- 1) = 6 + 1 = 7 ← value of c, hence
2x - y = 7 ← equation of line
The line's equation is y = 2x - 7.
What are parallel lines?In geometry, the coplanar straight lines that do not intersect at any point are called parallel lines. The slopes of parallel lines are equal because they are equally inclined with the positive x-axis.
How to solve this problem?The equation of the given line is
2x-y = 6
i.e. y = 2x-6
We know that If the equation of a line can be expressed as y = mx+c, then the slope of this line is m.
So, the slope of this given line is 2.
We can assume that the equation of the line which is parallel to the given line can be written as
y = 2x + c ...(1)
, where c is a constant.
Since this line passes through the point (3, -1), you have to put x = 3 and y = -1 in (1), to get the value of the constant.
Now, c = y - 2x = (-1) - 2*3 = (-1) - 6 = -7
Putting this value in (1), we get
y = 2x - 7
Therefore the required equation of the line is y = 2x - 7.
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Find the measure of G
In a company of 400 people, 280 use their work email addresses for their correspondence and 200
use their private email addresses. Another 40 company employees do not use email at all
a) how many employees use their work email and their private email for their correspondence?
b) how many employees are in violation of company policy to use only their company email for their correspondence
Answer:
a=200
b=80
I think this would be the answer
if not im sorry.
Using the principle of inclusion-exclusion, we determine that 80 employees use both work and private emails for correspondence. There are 120 employees in violation of company policy to use only their company email for business correspondence.
To solve the question, we can use the principle of inclusion-exclusion. First, we need to find the total number of people who use at least one type of email (work or private). Then we subtract the total number of people who use both to find those who are in violation of company policy.
Part (a)
Let A be the number of employees using work email, B be the number using private email, and C be the number not using email at all.
We know that A = 280, B = 200, and C = 40. We also have a total T = 400 employees.
Employees using both work and private email, represented as AB, can be found by: T - (A + B + C).
AB = 400 - (280 + 200 + 40)
AB = 400 - 520
AB = -120
However, since we cannot have negative users, this means that AB must be equal to 280 + 200 - 400 = 80. Therefore, 80 employees use both their work and private email for correspondence.
Part (b)
To find out how many are in violation of the policy, we just consider the number using private emails, minus those who use both emails (because they also use company email).
Violation = B - AB
Violation = 200 - 80
Violation = 120
Thus, there are 120 employees in violation of company policy regarding email use.
is 125 a perfect square? answer choices in picture
Answer:
No, because there is no whole number that when multiplied by itself gives 125
Step-by-step explanation:
The square root of 125 is 11.1803.
Some additional info:
[tex]\sqrt{125}=\sqrt{25 * 5} =5\sqrt{5}[/tex]
Hence, it is not a perfect square
No, because there is no whole number that when multiplied by itself gives 125.
Is 125 a perfect square?To determine if 125 is a perfect square, we need to find a whole number that, when multiplied by itself gives 125.
We will try some numbers:
1 * 1 = 12 * 2 = 43 * 3 = 94 * 4 = 165 * 5 = 256 * 6 = 367 * 7 = 498 * 8 = 649 * 9 = 8110 * 10 = 10011 * 11 = 12112 * 12 = 144Since there is no whole number that, when multiplied by itself, equals 125, we will conclude that 125 is not a perfect square.
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Please answer ASAP!
-3y ≤ -18
y =
Answer:
y ≥ 6.
Step-by-step explanation:
-3y ≤ -18
We divide both sides by -3. Also because we are dividing by a negative value the inequality sign is flipped.
-3y / - 3 ≥ -18 / -3
y ≥ 6.
A basketball player's hang time is the time spent in the air when shooting a basket. The formula t=d [tex]\sqrt{x}[/tex]d/2 Models hang time, t, in seconds, in terms of the vertical distance of a player's jump, d, in feet. When a particular player dunked a basketball, his hang time for the shot was approximately 1.28 seconds. What was the vertical distance, d, of his jump, rounded to the nearest tenth?
Answer: 6.5 feet
1.27=[tex]\sqrt{d} /2[/tex]
(2X1.27)^{2}=d
d=2.54^{2}
d=6.4516 feet (Round)
d=6.5 feet
Answer:
6.5 feet is correct yes
Step-by-step explanation:
What is the name of the atom shown?
A beryllium
B boron
C fluorine
D helium
Answer: A beryllium
Step-by-step explanation:
On the given picture, we have a structure of atom, that has 4 electrons in total in its orbit.
We know that the atomic number= number of protons in it.
⇒ Atomic number of given atom = 4
Since According to the Modern periodic table, The element with atomic number 4 is beryllium.
Hence, the name of the atom shown= beryllium
what is slope of this pic I ONLY HAVE 3 MINS PLSHELP
A.2
B.5
C 1/2
D.5/3
Answer:
D. 5/3
Step-by-step explanation:
Which point is NOT part of the solution of the inequality y < |3x| + 1?
Answer:
(3,15)
Step-by-step explanation:
y < /3x/ + 1
15 < /3*3/ + 1
15 < /9/ + 1
15 < 9 + 1
15 < 10
15 is not less than 10.
Mrs. Aries hired Jack, a math tutor, to help her son. She is on a budget and can pay him no more than $420 a month. If Jack charges $35 an hour, what is the maximum number of hours he can tutor each month?
Final answer:
The maximum number of hours a tutor can work at $35 an hour within a $420 budget is 12 hours per month.
Explanation:
The student asked how many hours a math tutor could work each month within a budget of $420 if the tutor charges $35 an hour. To calculate the maximum number of tutoring hours, divide the total budget by the hourly rate. This can be expressed as Maximum Hours = Total Budget / Hourly Rate.
In this case, the calculation would be:
Maximum Hours = $420 / $35 per hour
So, the math tutor can work a maximum of 12 hours per month on this budget since:
$420 / $35 per hour = 12 hours
The length of a rectangle is 2cm longer than the width. The perimeter is 52cm. What is the length and width of the rectangle?
Answer:
Width = 12 cm
Length = 14 cm
Step-by-step explanation:
Rectangle:
Let the width = x cm
So, the length = (x+2) cm
Perimeter = 52 cm
2 *(l+b) = 52
2 *(x+2 + x) = 52
2 * ( 2x + 2) = 52
2x + 2 = 52/ 2
2x + 2 = 26
2x = 26- 2
2x = 24
x = 24/2
x = 12
Width = 12 cm
Length = 14 cm
how do you show your work for 70×114
Answer: Write it out and solve!
Step-by-step explanation: See the attached photo
If you have ANY questions PLEASE ask!
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Which expression is equal to 3⋅(10+2)+20⋅2
Answer:
76
Step-by-step explanation:
When you solve the equation you will do parentheses first (10+2) which equals 12 then you carry everything down. Next you will multiply 3 x 12 to get 36 then you carry the 20 and 2 down. Next you will multiply 20 by 2 to get 40 and then add 36 + 40 to get 76.
3(10+2) +20 x 2
3(12) +20 x 2
36 + 20 x 2
36 + 40
76 : answer
The expression 3⋅(10+2)+20⋅2 simplifies to 76.
The given expression is [tex]$$3 \cdot (10+2) + 20 \cdot 2[/tex]
Let's simplify it step by step:
1. First, perform the operation inside the parentheses: [tex]3 \cdot 12 + 20 \cdot 2[/tex]
2. Then, perform the multiplication: [tex]36 + 40[/tex]
3. Finally, perform the addition: [tex]76[/tex]
So, the expression is equal to 76.
Stan's, Marks and Wayne's ages are consecutive whole numbers. Stan is the youngest, and Wayne is the oldest. The sum of their ages is 102. Find their ages
Answer: Wayne is 35, Mark is 34, and Stan is 33.
33+34+35 = 102
Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.
Explanation:Let's solve the problem step by step:
Let's assume Stan's age to be x.
According to the given information, Mark's age is one more than Stan's age, so Mark's age is x + 1.
Similarly, Wayne's age is one more than Mark's age, so Wayne's age is (x + 1) + 1 = x + 2.
Now we know that the sum of their ages is 102, so:
x + (x + 1) + (x + 2) = 102
Combining like terms, we get:
3x + 3 = 102
Simplifying the equation, we get:
3x = 99
Dividing both sides by 3, we get:
x = 33
Now we can substitute the value of x in the previous equations:
Stan's age = 33
Mark's age = 33 + 1 = 34
Wayne's age = 34 + 1 = 35
So, Stan is 33 years old, Mark is 34 years old, and Wayne is 35 years old.
why the sum of
a rational number and an irrational number is
always irrational.
Answer:
Because the irrational number (pi for example) plus a rational number ( [tex]\sqrt{4}[/tex] the square root of four is two) would be an irrational number (5.1415926535...)
(I CAN EXPLAIN FURTHER)
In a:b=c:d,then what are b and c called?
Answer:
To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means
Step-by-step explanation:
Answer:
the answer is the Means
Step-by-step explanation:
Solve this equation or formula for the variable indicated.
Solve for t: 7t = x
Greetings!
In this literal equation, the only thing we will have to do is get t by itself. In order to do that we will perform the opposite relation it has with 7, which is division, on both sides.
The answer will be x divided by 7 equals t, x / 7 = t.
Hope this helps!
Is 1.1875 rational or irrational
Answer: rational
Step-by-step explanation: irrationals never stop
Evaluate M/q + np2 for m = 24, n = 6, p = 9, and q = 8.
Answer:
489
Step-by-step explanation:
The programmers at the Theater Channel need to select a live musical to introduce their new network. The five choices are Cabaret (C), The Producers (P), Rent (R), Sweeney Todd (S), or West Side Story (W). The 22 programmers rank their choices, summarized in the following preference table. Use the table to solve.
Number of Votes 5 5 4 3 3 2 First Choice C S C W W P Second Choice R R P P R S Third Choice P W R R S C Fourth Choice W P S S C R Fifth Choice S C W C P W
Determine which musical is selected using the pairwise comparison method.
Answer:
cscwwp
Step-by-step explanation:
Which of the following expressions are equivalent to 3/11
Answer:
-3/-11
Step-by-step explanation:
2 negitives make a positive and plus i got it right
The Equivalent Expressions fractions to 3/11 from the options provided are 9/33 and 15/55, as they can be obtained by multiplying the numerator and denominator of 3/11 by the same number.
To find equivalent fractions to 3/11, you would need to multiply or divide both the numerator and denominator by the same number. We need to identify options that result from such actions on 3/11.
Option A: 6/21: No multiplicative or dividing relation can be found between 3 and 6 or 11 and 21, so this option is invalid.
Option B: 9/33: This is obtained by multiplying both numerator and denominator of 3/11 by 3. So, this option is valid.
Option C: 15/55: This is obtained by multiplying both numerator and denominator of 3/11 by 5. So, this option is valid.
Option D and E: There is no such multiplier or divider that can obtain these fractions from 3/11, so both are invalid.
Thus, the equivalent expressions to 3/11 from the options provided are options B (9/33) and C (15/55).
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The probable question may be:
Find the equivalent expressions to 3/11 from the options below:
Options:
A) 6/21
B) 9/33
C) 15/55
D) 12/45
E) 21/71
The perimeter of a square
is 80 inches. Find the length
of each side.
Answer:
20
Step-by-step explanation:
The length and with of a square are the same. We know a square has 4 sides so we get 80 ÷ 4
The answer is 20.
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Answer:
Step-by-step explanation:
20
What is the definition of monomial
A monomial is an expression that has ONE term.
Examples:
[tex]x^2[/tex]
[tex]1[/tex]
[tex]100000[/tex]
[tex]abc[/tex]
[tex]32^3[/tex]
[tex]xy^2[/tex]
[tex]3x^2y^4[/tex]
How do you do question 9? If you answer please explain.
Answer:
bottom left is -2x and bottom right is -3
Step-by-step explanation:
if you were to use a timeline you subtract 5 from 3 and that leaves you -2 and add the x from before and for the bottom right 2 - 5 is negative three if you need help its easy to make a timeline
. Find the simple interest on a $2,219.00 principal, deposited for 6 years at a
rate of 1.91%. Round to the nearest cent.
Answer:
SI=PTR/100
SI=2129*6*1.91/100
SI=24398.34/100
SI=243.9834$
The simple interest will be equal to $243.9834
What is simple interest?
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Given that:-
principal (p) = $ 530
Interest Rate (R) = 6%
Time (T) = 1 year
Simple Interest = I
The formula to calculate the simple interest is given below:-
Simple Interest (I)= P× T× R/ 100
SI = PTR/100
SI = (2129 x 6 x 1.91) / 100
SI = 24398.34/100
SI = 243.9834$
Therefore, the simple interest will be equal to $243.9834
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Which doesnt belong, and why? 9, 16, 25, 43
Answer:
43
Step-by-step explanation:
The first three numbers are perfect squares:
9 = 3²
16 = 4²
25 = 5²
43 is not a perfect square.
43 does not belong because it cannot ve expressed as perfect square
Perfect numbers are squares of any integer
Given the sequence of numbers 9, 16, 25, 43
From the sequence we can see that the first 3 numbers are perfect squared written as 3², 4², 5², 43
We can see that 43 cannot be expressed as perfect square making it the odd one out of the numbers
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The function
y = 2x + 2 and
y = -x + k intersect at
the point (2,6). Find the
value of k.
Answer:
k=8
The problem:
The function y=2x+2 and y=-x+k intersect at the point (2,6).
Find the value of k.
Step-by-step explanation:
(2,6) is a point contained by both y=2x+2 and y=-x+k.
Let's see if it actually on y=2x+2.
x=2,y=6
y=2x+2
6=2(2)+2
6=4+2
6=6 is true so it (2,6) is on y=2x+2.
Now we want k such that (2,6) is on y=-x+k.
6=-2+k
Add 2 on both sides:
8=k
So k=8.
Answer:
k = 8
Step-by-step explanation:
y = 2x + 2
y = -x + k
2x + 2 = - x +k
3x = k - 2
x= 2 : k-2= 6
k = 8