46 pullups in 2 minutes>
46/2=23
23 pullups per minute
23, 46, 69, 92 ect.
The rate of the pullups would be 23 pullups per minute.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Known that we divide by the change in the independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
Given that Duane can do 46 pullups in two minutes.
46 pullups in 2 minutes
46/2=23
23 pullups per minute
23, 46, 69, 92 etc.
Hence, the rate of the pullups would be 23 pullups per minute.
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A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.
Answer:
6 meters by 9 meters
Step-by-step explanation:
Step 1: Formula for perimeter of rectangle
Rectangle's perimeter = 2 (length) + 2 (width)
Rectangle's perimeter = 2 (length + width)
Step 2: Find the length and width in terms of x
Width = x
Length = 1.5 times width
Length = 1.5x
Step 3: Find x
Perimeter = 2(length + width)
30 = 2 (1.5x + x)
30/2 = 2.5x
15/2.5 = x
x = 6
Step 4: Find the length and width
Width = x = 6 meters
Length = 1.5x = 1.5(6) = 9 meters
Therefore, the dimensions of the room are 6 meters and 9 meters.
Answer:The dimensions of the room are...
w = 3m
l = 4.5m
Step-by-step explanation:
Write l in terms of w. 1.5w
Write an equation for the perimeter P in terms of w. 5w
10 POINTS BOIII
What is the slope of the line on the graph? P.S it's supposed to be a number.
Answer:
negative 2.5
Step-by-step explanation:
dougs monthly salary was $1250 when he recieved a 5% raise. Six months later he recieved another 2% raise. What is his annual salary after recieving both raise?
Final answer:
After receiving a 5% and then a 2% raise, Doug's annual salary becomes $16,065.
Explanation:
Let's calculate Doug's annual salary after receiving both raises. Initially, Doug's monthly salary was $1250. After a 5% raise, his new monthly salary becomes $1250 × 1.05 = $1312.50.
Six months later, he receives another 2% raise, which makes his monthly salary $1312.50 × 1.02 = $1338.75.
To find his annual salary after both raises, we simply multiply his final monthly salary by 12 (the number of months in a year).
Initial monthly salary = $1250
First 5% raise = $1250 + 0.05 × $1250
Second 2% raise = (first raise + 0.02 × first raise)
Multiply the final salary by 12 to get the annual salary
$1338.75 × 12 = $16,065.
Therefore, Doug's annual salary, after receiving both a 5% and 2% raise, is $16,065.
The points -4 and 5 are plotted on a number line. What is the distance, in units, between the two points?
The distance between two numbers is the absolute value of their difference.
Note that the order doesn't matter, since the distance between A and B is the same as the distance between B and A, obviously:
[tex]d=|-4-5|=|-9|=9[/tex]
[tex]d=|5-(-4)|=|5+4|=|9|=9[/tex]
So, the two points are 9 units away.
The distance between the points -4 and 5 on a number line is 9 units, determined by subtracting -4 from 5 according to the rules of addition and subtraction of integers.
Explanation:The question is asking for the distance between the points -4 and 5 on the number line. In mathematics, to calculate the distance between two points on a number line, we subtract the smaller number from the larger one. In this case, 5 is larger than -4, so we subtract -4 from 5. This involves the rules of addition and subtraction of integers, according to which subtracting a negative number is equivalent to adding the absolute value of that number.
So, to find the distance, we do: 5 - (-4) = 5 + 4 = 9. Following these rules of addition and subtraction of integers, we find that the distance between -4 and 5 on a number line is 9 units.
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A line passes through the two given points. Is it vertical, horizontal, or neither?
(-8, 3), (-7,3)
Vertical
Horizontal
Neither
Answer:
it is Horizontal
Step-by-step explanation: A Horizontal line is constantly on a single point on the Y axis this line is on the point 3
Answer is verticle
Step-by-step explanation:
An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)
Answer:
The new function will have a steeper slope
Step-by-step explanation:
Let
x ----> the number of audio books purchased
y ---->the cost of belonging to the club in dollars
we know that
case 1 (Originally)
[tex]y=15x+20[/tex] ----> equation A
case 2 ( the cost per audio book goes up by $1.00)
The new equation is
[tex]y=(15+1)x+20[/tex]
[tex]y=16x+20[/tex]
The slope of the new function is greater than the slope of the original function
[tex]16\frac{\$}{audio\ book}>15\frac{\$}{audio\ book}[/tex]
The new function will have a steeper slope
The graph in the attached figure
If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph.
Explanation:The graph represents the cost of belonging to an audio books club as a function of the number of audio books purchased. The x-axis represents the number of audio books and the y-axis represents the total cost. The initial joining fee of $20.00 is a fixed cost and stays the same regardless of the number of audio books purchased. The cost per audio book is $15.00. If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph. This means the new function will be a parallel line to the original function, but shifted up by $1.00.
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-2x + 2y = 6 and 4x + 2y= -5 solve by substitution
The solution to the system of equations by substitution is [tex]\( x = -\frac{11}{6} \)[/tex] and [tex]\( y = \frac{7}{6} \)[/tex].
To solve the system of equations by substitution, we can solve one equation for one variable and then substitute that expression into the other equation.
Given the system of equations:
1) [tex]\( -2x + 2y = 6 \)[/tex]
2) [tex]\( 4x + 2y = -5 \)[/tex]
From equation (1), we can solve for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex]:
[tex]\[ -2x + 2y = 6 \][/tex]
[tex]\[ 2y = 2x + 6 \][/tex]
[tex]\[ y = x + 3 \][/tex] ... (i)
Now, substitute [tex]\( y \)[/tex] from equation (i) into equation (2):
[tex]\[ 4x + 2(x + 3) = -5 \][/tex]
Expand and solve for [tex]\( x \)[/tex]:
[tex]\[ 4x + 2x + 6 = -5 \][/tex]
[tex]\[ 6x + 6 = -5 \][/tex]
[tex]\[ 6x = -11 \][/tex]
[tex]\[ x = -\frac{11}{6} \][/tex]
Now, substitute [tex]\( x = -\frac{11}{6} \)[/tex] into equation (i) to find [tex]\( y \)[/tex]:
[tex]\[ y = -\frac{11}{6} + 3 \][/tex]
[tex]\[ y = -\frac{11}{6} + \frac{18}{6} \][/tex]
[tex]\[ y = \frac{7}{6} \][/tex]
So, the solution to the system of equations is:
[tex]\[ x = -\frac{11}{6} \][/tex]
[tex]\[ y = \frac{7}{6} \][/tex]
A form of reasoning called_ is the process of forming general ideas and
rules based on your experiences and observations.
Answer:
Inductive
Step-by-step explanation:
Answer:
The answer is inductive reasoning.
Step-by-step explanation:
A form of reasoning called Inductive reasoning is the process of forming general ideas and rules based on your experiences and observations.
Inductive reasoning takes in account, multiple premises that are believed to be true and combine all these to deduce a specific conclusion.
This is used in usually prediction and forecasting applications.
The volume of rectangular prism is 300 cubic inches.If the length of the prism is 5 inches and the width is 8 inches.What is the height of the rectangular prism ?
Answer:
7.5
Step-by-step explanation:
5 times 8 equals 40
300 divide 40 equals 7.5
to check the answer i use 5 times 8 times 7.5
and the answer is 300.
so my answer is correct
Write whether each expression is a monomial or a binomial. a.3y b.(-9)+h c. wr+5wr d. -7agh e.2 f.k+12
Step-by-step explanation:
An expression with a single term a monomial, an expression with two terms is a binomial.
a. 3y - monomial
b. (-9) + h = -9 + h = h - 9 - binomial
c. wr + 5wr = 1wr + 5wr = (1 + 5)wr = 6wr - monomial
d. -7agh - monomial
e. 2 - monomial
f. k + 12 - binomial
Answer:
a. monomial
b. binomial
c. binomial
d. monomial
e. monomial
f. binomial
Step-by-step explanation:
straight from Penn
Sam is planning to start a pool cleaning business from his home, but has realized that he does not have enough money in savings or credit to pay for the set-up costs and first year of operation. Which of the following would not be a good way for Sam to get the money to start his business?
Answer:
Save $50 from his paycheck a week
Step-by-step explanation:
there's no following so I'll just write it
answer: steals money
sells everything to get money
Lies about being poor
scams people
demands people give him/her money
3 question problem, plz HELP!!!!!!
Answer:
the four point cannot be on the same line , but they have to be on the plane.
A D C E
collinear means on the same line
so ABC
non-coplanar means the point do not lie on the same plane so you can include point F
F A D B
There are 20 students in your class.if 4/5 of them are boys,how many are girls
To solve, simply know that 1/5 of 20 is 4. How did you get that? You do 1/5x20. Which is 20/5. The answer is 4. Now multiply 4 by 4. 16. Now the left over 1/5 is 4. So, 4 is how many girls there are. (Make sure to label)
what decimal equivalent of each rational number
7/20
-23/20
1/18
-60/22
Answer:
7/20=0.35
-23/20=1.15
1/18=0.5 (5 repeating)
-60/22=-2.72 (72 repeating)
The decimal equivalent of each rational number is given below:-
7/20=0.35
-23/20=1.15
1/18=0.5 (5 repeatings)
-60/22=-2.72
What are decimal numbers?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe how numbers are represented in the decimal system.
The decimal numbers will be calculated as below:-
(1) 7/20
Divide 7 by 20 to get the decimal form.
7/ 20 = 0.35
(2) -23/20
Divide -23 by 20 to get the decimal form.
-23/20 = 1.15
(3) 1/18
Divide 1 by 18 to get the decimal form.
1/18 = 0.5555555................
(3) -60/22
Divide -60 by 22 to get the decimal form.
-60/22 = 2.727272.......
Therefore, all the values in the decimal form are calculated above.
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Please answer this correctly
Answer:
Smith
Step-by-step explanation:
Woodson has fewer than Smith
Smith>Woodson
Woodson has more than Rodriquez
Smith>Woodson>Rodriguez
Blackburn has fewer then Rodriguez
Smith>Woodson>Rodriguez>Blackburn
Select the correct answer
Which statement correctly compares a sprain to a strain
OA Asprain affects the bone, while a strain does not
OB. A sprain affects a ligament, while a strain does not
OC Sprains and strains use the same grading scale for severity
OD. Sprains and strains are permanent injuries without cures
Reset
Next
Answer:
b is the anwesr your looking for
Step-by-step explanation:
Answer:
b is it
Step-by-step explanation:
84.375 as a mixed number
Write 1.888... as a mixed number in simplest form
The conversion of 1.888... as a mixed number in the simplest form is [tex]\dfrac{17}{9}[/tex].
The number that repeats itself periodically after decimals is called Repeating numbers.
They are also called recurring numbers or non-repeating numbers.
They may be in a particular pattern or a single number may repeat.
Example : 2.1414141414…….
Assign a variable, x, to the repeating decimal:
x = 1.888........ (1)
Multiply both side by 10 to shift the decimal point:
10x = 18.888... (2)
Subtract equation 2nd from equation 1st,
10x - x = 18.888... - 1.888...
9x = 17
Divide both sides of the equation by 9, to get the value of x:
[tex]x = \dfrac{17}{9}[/tex]
The simplest form of 1.888... is [tex]\dfrac{17}{9}[/tex].
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2x+6=x+14 pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease
2x+6=x+14
move x to the other side
sign changes from +x to -x
2x-x+6= x-x+14
2x-x+6= 14
x+6=14
move +6 to the other side
sign changes from +6 to -6
x+6-6=14-6
Answer: x= 8
I have a math problem to simplify how?
Answer: negative fifty
One trail through the park is 6.45 miles long. Another trail is 2.08 miles longer than the first trail. What is the combined distance of both trails
Final answer:
To find the combined distance of both trails, add the lengths of the two trails together. One trail is 6.45 miles long and the other is 2.08 miles longer.
Explanation:
To find the combined distance of both trails, we need to add the lengths of the two trails together. We know that one trail is 6.45 miles long, and the other trail is 2.08 miles longer than the first trail. So, the length of the second trail is 6.45 + 2.08 = 8.53 miles. To find the combined distance, we add the lengths of both trails: 6.45 + 8.53 = 14.98 miles.
is 0.82 a irrational or a rational number
It is a rational number because it is a terminated decimal and can be expressed as a fraction.
Answer:
It is a rational number.
i need the answer to 6^7(-2)^7
Answer:
The answer would be:
−35831808
Hope this helps.
Answer:
Step-by-step explanation:
(-2)^7 = - 2^7
6^7 = (2×3)^7= 2^7× 3^7
6^7(-2)^7 = (2^7× 3^7 )( - 2^7) = - (2^7×2^7)(3^7 )
6^7(-2)^7 = - 2^14 ×3^7
If a globe rotates through 150 degrees in 5 seconds, how many rotations does it make in 30
Answer:
4,500
Step-by-step explanation:
150 x 30
15 x 3 = 45, add 2 0's at end, 4,500
100 people were asked to estimate the length of one minute. their estimates were normaly distributed with a mean time of 60 seconds and a standard deviation of 4 seconds
Im super sorry my hand slipped dont quit
Show that x^2 + 4x + 6 cannot be factorised by completing the square.
Answer:
see explanation
Step-by-step explanation:
Given
x² + 4x + 6
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² + 4x
= x² + 2(2)x + 4 - 4 + 6
= (x + 2)² + 2
This does not reduce to a difference of squares and cannot be factored further
Select location using number line -1 3/10 + 2/5
Hey!
---------------------------------------------
Find Common Denominators:
2/5 = 4/10
Put mixed number to improper fraction:
-1 3/10 = -13/10
Add:
-13/10 + 4/10 = -9/10
Answer:
-9/10
Number Line:
In picture!
---------------------------------------------
Hope This Helped! Good Luck!
what's the absolute of -7? (|-7|)
Answer:
-7 can't have an absolute value if thats not what you meant then im sorry :(
Step-by-step explanation:
Answer:
The absolute value of -7 would be 7. Absolute value is unsigned which means that you remove the signs, even when a number is negative the absolute value is positive. I hope this helped :)
Step-by-step explanation:
Given: 4(x + y) = 48
y = 6
Prove: x = 6
Answer:
you have to replace y with 6 to prove that x = 6
4(x + 6) = 48
4x + 24 = 48
4x = 24
x=6
An architect designs a rectangular flower garden such that the width is exactly two-thirds if the length. If 240 feet of antique picket fencing are being used to enclose the garden, find the dimensions of the garden.
Answer:
The length of the rectangular flower garden is 72 feet and the width is 48 feet
Step-by-step explanation:
Let
L ----> the length of the rectangular flower garden in feet
W ---> the width of the rectangular flower garden in feet
we know that
The perimeter of the rectangular flower garden is
[tex]P=2(L+W)[/tex]
we have that
[tex]P=240\ ft[/tex]
so
[tex]240=2(L+W)[/tex]
Simplify
[tex]120=(L+W)[/tex] -----> equation A
[tex]W=\frac{2}{3}L[/tex] ----> equation B
Substitute equation B in equation A and solve for L
[tex]120=(L+\frac{2}{3}L)[/tex]
[tex]120=\frac{5}{3}L[/tex]
[tex]L=120(3)/5[/tex]
[tex]L=72\ ft[/tex]
Find the value of W
[tex]W=\frac{2}{3}(72)[/tex]
[tex]W=48\ ft[/tex]
therefore
The length of the rectangular flower garden is 72 feet and the width is 48 feet