Victor swims 4500 ft during his winter break.
It is given that,
Number of weeks in winter break: 2Laps each week: 30Yards in each lap: 25 yardsExplanation:
Laps in one week is 30. So, laps in two weeks is:
[tex]2\times 30=60[/tex]
1 lap is equal to 25 yards. So, 60 laps is equal to:
[tex]60\times 250=1500[/tex] yards
We know that,
1 yard = 3 ft
So, 1500 yards is:
[tex]1500\times 3=4500[/tex] ft
Thus, Victor swims 4500 ft during his winter break.
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the answer for 6 + 4 ( 2 + 3 ) 2
Answer:
106Step-by-step explanation:
[tex]6+4\cdot(2+3)^2[/tex]
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]6+4\cdot(2+3)^2\\\\=6+4\cdot(5)^2\\\\=6+4\cdot25\\\\=6+100\\\\=106[/tex]
1.98x=11.88 what does x equal?
Answer:
6
Step-by-step explanation:
Look at picture for help solving it.
Which pair of expressions are equivalent?
6t+5+ 2t and 11t+5
P+3+ 2p and 5t+3
3n+7+n and 4n+ 7
2X+2+7x and 9x+7
Answer:
3n + 7 + n and 4n + 7
Step-by-step explanation:
Answer:
C. 3n+7+n and 4n+ 7
Step-by-step explanation:
hope this helps! edge2021!
Evaluate the expression when m = 6 and n = 31.
Answer:
7
Step-by-step explanation:
n-4m= 31 - 4(6) = 31 -24 = 7
Evaluate the expression x + 9, if x = 8.
If x is 8, then plug 8 into the expression:
x+9
= (8)+9
= 17
I'm pretty sure this is correct!
Answer: 17 hope it helps (⌐■-■)
Step-by-step explanation:
Madelyn is working two summer jobs, making $20 per hour lifeguarding and making $12 per hour clearing tables. In a given week, she can work no more than 13 total hours and must earn no less than $180. If Madelyn worked 8 hours lifeguarding, determine all possible values for the number of whole hours clearing tables that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
The possible values of the number of hours clearing tables are 2 , 3 , 4 , 5 hours
Step-by-step explanation:
* Lets explain how to solve the problem
- Madelyn is making $20 per hour life guarding
- She is making $12 per hour clearing tables
- She can work no more than 13 total hours
∴ The greatest time she can work is 13 hours (≤)
- She must earn no less than $180
∴ The least money she wants to earn is $180 (≥)
- If Madelyn worked 8 hours life guarding and assume that she
worked x hours clearing tables
∵ She can work no more than 13 hours
∴ 8 + x ≤ 13
- Subtract 8 from both sides
∴ x ≤ 5 ⇒ (1)
∵ She must earn no less than $180
∴ 8 × 20 + x × 12 ≥ 180
∴ 160 + 12x ≥ 180
- Subtract 60 from both sides
∴ 12x ≥ 20 ⇒ (2)
- From equation (1) ⇒ x = 1 , 2 , 3 , 4 , 5
- Substitute x in equation (2) by these values to find the right values
of x
# If x = 1
∴ 12(1) ≥ 20
- But 12 is less than 20
∴ x can not be 1
# x = 2
∴ 12(2) ≥ 20
∴ 24 ≥ 20
- 24 is greater than 20 then x can be 2
∵ 3 , 4 , 5 greater than 2
∴ All of them give answers greater than 20
∴ x can be 3 , 4, 5
∵ x represents the number of hours for clearing tables
∴ The possible values of the number of hours clearing tables are
2 , 3 , 4 , 5 hours
Madelyn can work 2, 3, 4, or 5 hours clearing tables to meet her requirements. This ensures she earns at least $180 while working no more than 13 total hours. The calculations consider her earnings from both jobs and time constraints.
Let's determine the possible values for the number of hours Madelyn must work clearing tables to meet her requirements. We know the following:
Madelyn earns $20 per hour lifeguarding.Madelyn earns $12 per hour clearing tables.She can work no more than 13 total hours.She must earn no less than $180.She worked 8 hours lifeguarding.First, calculate the earnings from lifeguarding:
[tex]\[8 \times \$20/hour = \$160\][/tex]Now, let x be the number of hours she works clearing tables. To meet the requirement of earning no less than $180, we set up the following inequality:
[tex]\[160 + 12x \geq 180\][/tex]Subtract 160 from both sides:
[tex]\[12x \geq 20\][/tex]Divide both sides by 12:
[tex]\[x \geq \frac{20}{12}\][/tex]Which simplifies to:
[tex]\[x \geq 1.67\][/tex]Since x must be a whole number, the minimum value for x is 2. Now, considering the total hours she can work (no more than 13), calculate the maximum value for x:
[tex]\[8 \text{ hours lifeguarding} + x \text{ clearing tables} \leq 13 \text{ hours}\][/tex]This gives us:
[tex]\[8 + x \leq 13\][/tex]Subtract 8 from both sides:
[tex]\[x \leq 5\][/tex]So, the possible values for the number of hours she could work clearing tables are:
2, 3, 4, or 5The sum of a number and 9 is 12.
Answer:
x=3
Step-by-step explanation:
You take 12-9 to get 3 :)
Answer:
[tex]3[/tex]
Step-by-step explanation:
Simple, all you have to do is backwards equation. If the sum is 12. Subtract 12 by one of the numbers given.
[tex]12 - 9[/tex]
[tex]==> 3[/tex]
[tex]3 + 9 = 12[/tex]
EF=4x-15,FG=5x+7 and EG=46 find the value of EF
4−(2x+4)=5
pls help:)
Answer:
The answer would be -2 1/2
Step-by-step explanation:
What is m<2 + m<3? Explain.
Answer:
[tex]\large\boxed{m<1\to m\in(-\infty,\ 1)}[/tex]
Step-by-step explanation:
[tex]m<2+m<3\to m<2+m\ and\ 2+m<3\\\\m<2+m\qquad\text{subtract}\ m\ \text{from both sides}\\m-m<2+m-m\\0<2\qquad\bold{TRUE}\to m\in\mathbb{R}\ (all\ real\ numbers)\\\\2+m<3\qquad\text{subtract 2 from both sides}\\2-2+m<3-2\\m<1\\\\m\ \text{is any real number and}\ m<1.\\\\\text{Therefore}\ m<1\to m\in(-\infty,\ 1)[/tex]
on the first day of the clothing drive 11 rain jackets were collected at the end of the drive 10 times that number of rain jackets were collected how many rain jackets were collected
Answer:
There were 121 rain jacket were collected
Step-by-step explanation:
* Lets explain how to solve the problem
- On the first day of the clothing drive, 11 rain jackets were collected
- At the end of the drive 10 times that number of rain jackets were
collected
- We want to find how many rain jackets were collected
∵ There were 11 rain jacket were collected on the first day
∵ Ten times that number were collected at the end of the drive
- Ten times means we will multiply the number of rain jacket in
the first day of the clothing drive by 10
∴ The number of rain jacket at the end of the drive = 10 × 11 = 110
∴ There were at the end of the drive 110 jackets
- To find the number of the rain jacket were collected is the sum
of the number of rain jacket at the first day and at the end of
the drive
∴ The number of rain jacket = 110 + 11 = 121
* There were 121 rain jacket were collected
Which of the following best describes the graph above?
A.
neither a relation nor a function
B.
both a relation and a function
C.
relation only
D.
function only
The answer is B. both a relation and a function.
Relation: A relation is any set of ordered pairs. It shows how values in the x-axis (domain) are related to values in the y-axis (range). The graph visually represents a relation because it shows pairs of x and y values.
Function: A function is a specific type of relation where each input (x-value) has exactly one output (y-value). In other words, no x-value can be paired with two different y-values.
Vertical Line Test: To determine if a graph represents a function, you can use the vertical line test. If you can draw any vertical line that intersects the graph more than once, it's not a function. If every vertical line intersects the graph at most once, it's a function.
Applying the Vertical Line Test: I'm able to see the graph you sent. When I apply the vertical line test to this graph, I can see that every vertical line intersects the graph at only one point. This means that each x-value has only one corresponding y-value, satisfying the definition of a function.
Therefore, the graph represents both a relation (because it shows pairs of x and y values) and a function (because each x-value has only one corresponding y-value).
The option that best describes the graph is:
B. both a relation and a function
How to identify a function?
A relation is a set of ordered pairs that express a relationship between elements of sets. Meanwhile, a function is a type of relation where each element in the domain is related to exactly one element in the codomain.
In this case, the line represents the equation y = 5.
The equation y = 5 represents a function. A function is a relation in which each input value (x) leads to exactly one output value (y) .
In the case of y = 5, no matter what the input (x) is, the output (y) is always 5, satisfying the definition of a function. Therefore, y = 5 is a function and a relation.
I accidentally click an answer but what would the answer be? I’m on a time limit!! Need help ASAP thank u!
Hey!
-----------------------------------------------------------
Solution:
= 7√3 + 2√9
= 7√3 + 6
= 18.124... (Non-Terminating or Irrational)
When we add a rational number and a irrational number it's always irrational.
-----------------------------------------------------------
Answer:
The answer 7√3 + 6 is irrational because the sum of a rational number and irrational number is an irrational number.
-----------------------------------------------------------
Hope This Helped! Good Luck!
Answer:
d) The sum of an Irrational number and a Rational Number is still an Irrational Number
Step-by-step explanation:
[tex]7\sqrt{3}+2\sqrt{3^2}=7\sqrt{3}+6[/tex]
Rational Number = Any number that can be written as a quotient a/b form
Irrational Number =Any number that cannot be written as quotient a/b form
Since we have an Irrational number such as [tex]7\sqrt{3}=7*1.73....[/tex]it's another non-terminating and non-repeating number if I add 6 (rational number since 6=6/1) units to as addend to this sum is still an irrational number as the sum.
If 448 is rounded to 450 and 450 is rounded to 500 does that mean 448 is rounded to 500 too?
Answer:
NO
Step-by-step explanation:
Since you are rounding to a numbers in the 100s you need to find the closest multiple of 100 to 448, this would be 400 since the difference between 448 and 400 is 48 while the difference between 500 and 448 is 52 and 48<52
What are rational exponents
Answer: A rational number is any number that can be written as a fraction where the numerator and denominator are counting numbers.
Hope this helps
Step-by-step explanation:
What is the solution to the equation? 15= -x/5
A.3
B.75
C.-75
D. -3
Answer:
C.-75
Step-by-step explanation:
15=-x/5
(15)*(5)=-x
75=-x
x=(-1)*75=-75
What is a multiplication expression with a product of 5 to the power of 13
Answer:
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5
Step-by-step explanation:
A cat adoption facility takes in an average of 4 cats per day. The facility has to keep their cat occupancy below 200. Currently, the facility has 172 cats.
If none of their cats get adopted, how many more days, x, can the facility continue to take in cats? Select the inequality that includes the largest number of days this facility can continue to take in cats without exceeding its occupancy limit.
A. x < 7
B. x < 28
C. x < 50
D. x < 24
Answer:
A. x<7
Step-by-step explanation:
B. x < 28
C. x < 50
D. x < 24
These answers exceed the cat adoption facilities cat limit.
Rate as Brainliest plz
Answer:
A. x<7
Step-by-step explanation:
We know three things:
The facility takes 4 cats per dayThe facility has to keep the occupancy below 200Currently, the facility has 172 catsNow we want to know how many more days the facility can continue to take in cats if none of their cats get adopted.
First, we want to know how many cats until the facility exceeds the occupancy and to do it we have to subtract the occupancy minus the cats they already have:
200 - 172 = 28
With this answer, we know that if they get 28 more cats they will have 200 cats and the occupancy has to be below 200.
Now we want to know how many days will it take them to get 28 more cats:
We know that every day they get 4 cats, so we are going to divide the number of cats to get 200 by the number of cats they get every day:
28(cats) / 4(cats per day) = 7 days
So in 7 days, they will pass their occupancy, which means that they can only take cats less than 7 days.
The expression will be:
x < 7
Where:
x is how many more days they can take in cats
< means less than
what is the answer?show work
Answer:
19
Steps:
1 - 7 + [tex]5^2[/tex]
-6 + [tex]5^2[/tex]
-6 + 25
19
A line passes through the point (–3, 4) and its y-intercept is (0, –2). What is the equation of the line that is parallel to the given line and passes through the point (–5, 2)?
Answer:
y = - 2x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-4}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
• Parallel lines have equal slopes, hence slope of parallel line = - 2, thus
y = - 2x + c ← partial equation of parallel line
To find c substitute (- 5, 2) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = - 2x - 8 ← equation of parallel line
Help please! There is an image attached below
Answer:
C
Step-by-step explanation:
The absolute value always returns a positive value, that is
| - a | = | a | = a, thus
| 3 [tex]\frac{1}{2}[/tex] | = 3 [tex]\frac{1}{2}[/tex] → C
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 555, find the numbers..
Answer:
first = 65
second = 325
Third = 165
Step-by-step explanation:
Let the first number = x
first: x
second: 5x
Third = x + 100
first + second + third = 555
x + 5x + x + 100 = 555 Combine
7x + 100 = 555 Subtract 100 from both sides
7x + 100 - 100 = 555 - 100
7x = 455 Divide by 7
7x/7 = 455/7
x = 65
Use Math Tools Terrell had a chain of
56 paper clips. Some of the paper clips fell off. Now there
are 38 paper clips in the chain. How many fell off?
Brain Builders
9. Li counts 203 stars in the sky. The next night, she counts 178 st
After three nights, she had counted a total of 500 stars. How m
Answer:
I know only answer for the first one
18 paper clips
Step-by-step explanation:
56 paperclips originally - x paperclips = 38 paperclips
56 - x = 38
+ x + x
56 = 38 + x
- 38 - 38
18 = x
x = 18
Figure 1 is reflected over the x-axis and then reflected over the line x = k to produce Figure 2. What is the value of k?
Answer: try negative three-3 hope this helps you!
Step-by-step explanation:
Is 86.7% a rational number
Answer:
yes
Step-by-step explanation:
The number 86.7 is a rational number. It is possible to obtain the number 86.7 by dividing the integer 867 by the integer 10, as in 867/10. Because 86.7 is a quotient that results when two integers are divided, we say that 86.7 is a rational number.
The equation below can be best described as an example of which of the following properties?
a + b = b + a
A. Reflexive Property
B. Associative Property
C. Distributive Property
D. Commutative Property
PLEASE HELP!
5. Len plans to invest money he has saved so that he can earn $100 interest in one year. He will deposit some of his money in an account that
pays 4%/year. He will use the rest of his money to buy a one-year GIC that pays 5%/year.
a) Write an equation for Len's situation, anddraw a graph.
b) Suppose that Len buys a GIC for $1500.
Use your graph to determine how much
he would need to put in the account.
c) Suppose that Len deposits $2200 in the account. Determine how much he would need for the GIC.
Answer:
Step-by-step explanation:
Answer from:
answer:
a little over 31hours
step-by-step explanation:
use simple proportion
58miles = 1hr
1805miles = ?
(1805x1)/58 = 31.12hrs
since the question asks you for an estimation, it should be fine to say a little over 31hours but do show full working and the accurate answer
Answer:
a little over 31hours
Step-by-step explanation:
Find m2ABC.
(2x)=(5x+5)
OPTIONS
25
60
50
130
Answer:
130°
Step-by-step explanation:
[2x] + [5x + 5] = 180
7x + 5 = 180
- 5 - 5
_____________
7x = 175
__ ____
7 7
x = 25
[tex]5(25) + 5 = 125 + 5 = 130[/tex]
I am joyous to assist you anytime.
-3x² - 4x – 8=0
Does anyone know how to solve this?
Answer:
That is a quadratic equation.
It can be solved by using the quadratic formula:
x = (-b +-sqr root b^2 -4*a*c) / 2 *a
In this equation a = -3
b = -4 and c = -8
x = (--4 +- sqr root (-4^2 - 4 * -3 * -8)) / (2 * -3)
x = (4 +- sqr root (16 -96)) / -6
x = 4 +- sqr root (-80) / -6
x1 = (4 +8.94427191 * i) / -6
x2 =(4 -8.94427191 * i) / -6
Remember that "i" is the square root of minus 1.
Step-by-step explanation:
At a company that markets televisions, marketers learn that many of the consumers who are willing to pay for high-quality televisions are sports fans. Which of the following would be the best way for the marketers to apply their knowledge of consumer behavior?
A.Charge a price that all customers can afford
B.Associate their brand with a reference group of star athletes
C.Run ads to change consumers' attitudes about sports
D.Try to shorten the consumer decision-making process
Answer:
B.Associate their brand with a reference group of star athletes
Step-by-step explanation:
At a company that markets televisions, marketers learn that many of the consumers who are willing to pay for high-quality televisions are sports fans.
B.Associate their brand with a reference group of star athletes.
This seems the most appropriate answer. When a brand is associated with someone we like, it is very likely that we use the same products like that person.