Last year, 1,920 athletes finished the Cedarburg Marathon. This year, the number of runners
crossing the finish line was 15% lower. How many athletes finished the race this year?
Answer:
1,632
Step-by-step explanation:
the 15% of 1,920 is 288 subtract it to 1,920 so you'll get 1,362 is the number of athletes finished the race this year
A manufacturer is cutting plastic sheets to make rectangles that are 11.125 in. By 7.625 in. Each rectangles length and width must be within 0.005 in. Of the desire size . Write and solve inequalities to find the acceptable range for the length / and the width w
The inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
length = 11.125 in
width = 7.625 in
Range of value must be less than orequal to 0.005 in
let
l = Length
w = width
Length inequality:
l - 11.125 ≤ 0.005
write as a compound inequality
- 0.005 ≤ l - 11.125 ≤ 0.005
Width inequality:
w - 7.625 ≤ 0.005
write as a compound inequality
- 0.005 ≤ w - 7.625 ≤ 0.005
Therefore, the inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
Learn more about inequality:
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A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.42?
Answer:
7%
Step-by-step explanation:
The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).
To do this, we can use the following formula:
[tex]\frac{x}{y} = \frac{p}{100}[/tex]
Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:
[tex]\frac{0.42}{6} = \frac{p}{y}[/tex]
We can cross multiply and simplify to find the tax rate:
[tex]0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07[/tex]
We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:
[tex]0.07 * 100=7[/tex]
Place the percent sign and we are done.
Hope this helps.
35 is more than the product of 5 and the difference of a number and 1.
50 POINTS PLEASE HELPP
For which of the following inequalities, is 4
part of the solution set? Select all that
apply.
I A. x > -5
I B. 2 > x
C. 3x + 4 >-8
O D. 5x < 2x - 3
E. -6 < 4 - 2x
Answer:
a
Step-by-step explanation:
Answer:
A, C, and E
Step-by-step explanation:
Replace the x with 4 and do the math
Does 30, 40, 45 make a right triangle?
Answer:
no these degrees do not make a right triangle
During a store's opening month, they sold 925 DVD's and 507 Blu-ray discs. Each month thereafter, the number of DVD's sold per month decreased by 12 while the number of Blu-ray discs sold per month increased by 26. Let d represent the number of discs sold and t represent the time in months.Write a system of equations
The system of equations representing the number of Blue-ray discs and DVD's after t months are:
507 + 26t
925 - 12t
Each month, the number of DVD's sold decreases by 12, this can be modelled as:
number of DVD in opening month - (monthly decrease x number of months)
Number of DVD's in t months = 925 - 12t
Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:
number of blue-ray discs in opening month + (monthly increase x number of months)
Number of Blue-ray discs in t months = 507 + 26t
To learn more about growth rate, please check: https://brainly.com/question/18760477
Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).
g(−3)=2
g(0) = 3g(0)=3
Step-by-step explanation:
Given
The attached graph
Required
Determine
g(-3)g(−3)
g(x) = 3g(x)=3
Since a graph has been provided, the question will be solved graphically;
Solving g(-3)
This implies that;
x = -3
And the interpretation is to solve for the y value when x = -3
From the attached graph;
When x = -3; y = 2
Hence;
g(-3) = 2g(−3)=2
Solving g(x) = 3
This implies that;
y = 3
And the interpretation is to solve for the x value when y = 3
From the attached graph;
When y = 3; x = 0
Please help me Find the slope and please help me no links or bots please and thank you please actually help
Answer: slope for that is 1/2
Step-by-step explanation: rise over run y2-y1 x2-x1
What is 7x(-4) ? Please
[tex]\mathfrak{7x(-4)} [/tex]
[tex]\mathfrak{=7x*-4} [/tex]
[tex]\boxed{\mathfrak{=-28x}} [/tex]
[tex]\mathbb{MIREU} [/tex]
Answer two questions
Answer:
3) a = 9
4) v = 16
Step-by-step explanation:
Assuming here that the two questions you're talking about are problem 3 and problem 4, here is my work to find each answer.
Problem 3
First, let's distribute the 5 onto both terms in the parentheses.
5(a - 3) = 30
5(a) - 5(3) = 30
5a - 15 = 30
Next, we can add 15 to both sides to isolate a.
5a - 15 = 30
5a = 45
Finally, divide both sides by 5 to find the value of a.
5a = 45
a = 9
Problem 4
First, let's remove 2 from both sides of the equation.
v/2 + 2 = 10
v/2 = 8
Then, we can multiply both sides by 2 to find the value of v.
v/2 = 8
v = 16
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Number 1}[/tex]
[tex]\text{QUESTION: 5(a - 3) = 30}\\\\\large\textsf{DISTRIBUTE 5 WITHIN the PARENTHESES}\\\\\rm{5(a) + 5(-3) = 30}\\\\\rm{5a - 15 = 30}\\\\\large\textsf{ADD 15 to BOTH SIDES}\\\\\rm{5a - 15 + 15 = 30 + 15}\\\\\large\textsf{CANCEL out: -15 + 15 because it gives you 0}\\\large\textsf{KEEP: 30 + 15 because it helps solve for the a-value}\\\\\text{NEW EQUATION: 5a = 30 + 15}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{5a = 45}\\\\\large\textsf{DIVIDE 5 to BOTH SIDES}\\\\\rm{\dfrac{5a}{5} = \dfrac{45}{5}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because it helps solve for the a-value}\\\\\text{YOUR NEW EQUATION: }\rm{a = \dfrac{45}{5}}\\\\\large\textsf{SIMPLIFY IT!}\\\\\large\text{a = 9}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{a = 9}}}\huge\checkmark[/tex]
[tex]\huge\text{NUMBER 2}[/tex]
[tex]\text{QUESTION: }\rm{\dfrac{v}{2} + 2 = 10}\\\\\rm{\rightarrow \dfrac{1}{2}v + 2 = 10}\\\\\large\textsf{SUBTRACT 2 to BOTH SIDES}\\\\\rm{\dfrac{1}{2}v + 2 - 2 = 10 - 2}\\\\\large\textsf{CANCEL out: 2 - 2 because it gives you 0}\\\large\textsf{KEEP: 10 - 2 because it helps solve for the v-value.}\\\\\text{YOUR NEW EQUATION: }\rm{\dfrac{1}{2}v = 10 - 2}\\\\\text{SIMPLIFY IT!}\\\\\rm{\dfrac{1}{2}v = 8}\\\\\large\textsf{MULTIPLY 2 to BOTH SIDES}\\\\\rm{2\times \dfrac{1}{2}v = 2\times8}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{2\times8}\large\textsf{ because it helps solve for the v-value}\\\\\text{YOUR NEW EQUATION: }\rm{v = 2\times8}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{v = 16}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{v = 16}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can someone please take the time out of day to help me with this
Answer:
a. 54, b. 117, c. 63
Step-by-step explanation:
a. Angle 11 is corresponding to angle 1, which is linear to angle 2, which is 126 degrees. So angle 11 is 180 - 126 = 54 degrees
b. Angle 8 corresponds to angle 14, which is 117 degrees.
c. Angle 7 is linear to angle 8, so it is 180 - 117 = 63 degrees
Answer:
a or <11 is 54 degrees, b or <8 is 117 degrees, c or <7 is 63 degrees
Step-by-step explanation:
A. <2 = <12, <12 + <11 = 180, 180 - 126 = 54
B. <14 = <8, 117 = 117
C. <7 + <8 = 180, 180 - 117 = 63
Layla is making a fruit salad for 5 friend. Each person gets 2/5 of a cup of strawberries. How many cups of strawberries does Layla need?
The market is selling a box of strawberries containing 2 cups
How many boxes does Layla need? Answer in decimal form
She needs 1 box of strawberries
She needs 2 cups of strawberries total
A study is testing the effectiveness of a new allergy medication. Sixty people who reported they experience allergies were randomly assigned to one of two groups: one with the new medication, and another with a placebo. After two weeks, the subjects were surveyed by technicians to determine their level of allergic symptoms.
Which of the following would benefit this experiment the most?
This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.
This experiment should be single blind. The subjects do not know which treatment they are receiving to control for the placebo effect, but the technicians need to know which group received which treatment.
This experiment should be single blind. The subjects know which treatment they are receiving but the technicians do not know which group received which treatment, so the response being measured is not affected.
This experiment should not use blinding. It is unethical for the subjects not to know which treatment they are receiving, placebo or new medication, and for the technicians not to know which group received which treatment.
The best method that would lead to a more effective study is:
This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.Double blind experiments are usually better than single blind experiments because they will account for experimenter bias which is where the technicians influence the project whether knowingly or unknowingly.
The placebo effect is also better studied because the participants will not know whether they are receiving a placebo or the real thing.
In conclusion, option A is correct.
Find out more about double blind experiments at https://brainly.com/question/9292513.
Answer:
A ON EDGE2022 :)))))))
Step-by-step explanation:
What is the slope of the line passing through(-7, 8) (-8, 8) is?
Answer:
Step-by-step explanation:
(-7, 8) (-8, 8)
(y2 - y1) / (x2 - x1)
(8 - 8) / (-8 + 7)
0 / -1
the slope is 0
you could also see this because the y value doesn't change
if the y value doesn't change the slope is 0, if the x value doesn't change the slope is undefined
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 7, 8 ) and (x₂, y₂ ) = (- 8, 8 )
m = [tex]\frac{8-8}{-8-(-7)}[/tex] = [tex]\frac{0}{-8+7}[/tex] = [tex]\frac{0}{-1}[/tex] = 0
Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length
Answer: c = 6.5I
Step-by-step explanation:
C = the cost of the fabric
I = the length of the fabric
C : I = 13 : 2
C : I = 32.50 : 5
C : I = 6.5
C = 6.5I
Evaluate the expression when B = -4 and C = 6
C-8B
Find the angle measure
<ABD and <EBC are equal to each other. In order to solve for the x value, set the equations equal to each other;
4x = 2x + 40,
x = 20
Based off what angle you are trying to find, you would plug x = 20 into the equation.
find gain percent when cost price is rs 804 and selling price is rs 1004
Selling Price = 1004r
Cost Price = 804r
1004-804=200r
Gain% = 200/804 · 100 = 20000/804 = 23.80% or 29%
What is the slope of this graph?
0.3
-3
los
1
3
3
1
2 3 4 5
Answer:
A
Step-by-step explanation:
Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.
on a map where each unit represent one kilometer, two marainas are located at p(4,2) and Q(8,12). if a boat travels in a straight line from one marina to the other, how far does the boat travel?
Answer: 5 kilometers.
Step-by-step explanation:
In the xy-plane, line k passes through the points (0, -4) and (1,-1). Which equation defines
line ?
Answer:
y=3x-4
Step-by-step explanation:
help help help help help help help help
Answer:
necklace
Step-by-step explanation:
It is the only one with a negative elevation
The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
Step-by-step explanation:
y = 5x is the reference line (as best as I can interpret " y = 5* - .").
We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.
Parallel lines will have the same slope as the reference line, in this case m=5. Our new line will take the form of y=5x+b. An important difference is that the new line must go through (2,6). We need to find a value of b that will make that work.
Use y=5x + b with point (2,6) and solve for b:
6 = 5*(2) + b
b = -4
The line that is parallel to y=5x and goes through the point (2,6) is thus:
y = 5x - 4
See the attachment.
The equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + b
where -
[m] is slope of line
[b] is y - intercept
Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).
The equation of line [d] in the slope intercept form can be derived as follows -
Slope of line [c] = Slope of line [d] (parallel lines)
m[d] = 5
Assume the equation of line [d] as -
y = m[d]x + b
6 = 5 x 2 + b
b = 6 - 10
b = - 4
The equation will be -
y = 5x - 4
Therefore, the equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
To solve more questions on straight lines, visit the link below-
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A tram moved downward 9 meters per second for 54 seconds. What was the total change in the tram's elevation?
Answer:
6
Step-by-step explanation:
Answer:
-486
Step-by-step explanation:
Which correlation coefficient best matches the graph?
Answer:
Which graph?
Step-by-step explanation:
Answer:
where is the graph
Step-by-step explanation:
umm i dont know how to answer
Headlights must be used from:
-Sunset to sunrise.
Answer:
Step-by-step explanation:
ok
hello how are you doing today
I am doing fine thanks bro.
HELP ME ON MY GEOMETRY PLEASEEEEE
Answer:
A
Step-by-step explanation:
simplify this expression
Option B
If any doubt leave a comment