The variable that was defined and the corresponding inequality to depict the constraints is; r < 140 beats per minute.
How to Write Inequalities?We are to define a variable and write an inequality for the given question.
Now, since the variable here is the heart rate, then let us define the varibale with the term r.
Thus, the inequality that represens the given question is written as;
r < 140 beats per minute.
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A long year-end status report for work is 162 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.84 each
Answer:
$23.04
Step-by-step explanation:
I am thinking of a number x. What algebraic expression represents “eight less than three times this number”?
Answer:
3x - 8
Step-by-step explanation:
We represent the number as x.
We can write it as x - 8 (eight less than this number)
Then we can add 3x - 8 (We add the three times part)
Dara had to pay $50 in band fees, $25 for the school club fee and $30 for a lab fee how much money does she need to cover her fees
Answer:
She will need 105$
Step-by-step explanation:
Add 50+25=75 Then add 75+30=105
What is the change that occurs to the parent function f(x) = x2 given the function f(x) = (x - 3)2.
A.)Graph moves 3 units down.
B.)Graph moves 3 units up.
C.)Graph moves 3 units left.
D.)Graph moves 3 units right.
9514 1404 393
Answer:
D.) Graph moves 3 units right.
Step-by-step explanation:
Replacing x with x-h moves the graph h units to the right. Here, h=3, so the graph is moved 3 units to the right.
parent: f(x) = x^2
translated: f(x) = (x -3)^2
Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael’s account balance following these withdrawals?
A.
-$519.25
B.
-$369
C.
$369
D.
$519.25
I believe it to be $369
6th grade math I mark as brainliest
Answer:
720
Step-by-step explanation:
Just multiply all the measurements together
10 times 8 times 9 equals 720
are the number 25 and 27 twin primes or co prime? why?
Answer: twin primes
Step-by-step explanation: 27 is 2 more then 25, therefore, they are twin primes.
Given j || k and m∠8=150° What is m∠3?
Enter your answer in the box.
m∠3= ___°
Answer:
30°
Step-by-step explanation:
•angle 8 would be the same as angle 6
•angle 6 is next to angle 3
•if you were to add angle 6 and 3 it should equal 180°
180-150=30°
i rlly hope this is correct and helps <3
What is 7/8 of 2121?
Answer:
1855.875
Step-by-step explanation:
All you have to do is multiply them together.
HOPE this helped!!
need help asap please
Answer:
this is way to hard
Step-by-step explanation:
SKILL
Given that one side of an equilateral triangle is 16, what is the area of the triangle?
Answer:
approximately 55.43 or [tex]4\sqrt{192}[/tex]
Step-by-step explanation:
1) draw line down middle of said triangle and split it in half
2) since the area of the triangle is 1/2 b * h we can solve
3) we know that the base is 8 (16 split in 1/2)
4) use the Pythagorean theorem (a^2 +b^2 = c^2) to solve for the height
5) a= 8 b= ? c= 16
6) 16^2=256 8^2= 64 256-64=b^2
7) b=[tex]\sqrt{192}[/tex]
8) [tex]\frac{1}{2} *\sqrt{192} *8= 4\sqrt{192}[/tex] or approximately 55.43
You can check by substituting the numbers back into the Pythagorean theorem and see if they match up
Please help me
11-x>17
Answer:
x < -6
Step-by-step explanation:
Answer:
-7 or x <-6
Step-by-step explanation:
To add to a number that’s in a subtracting equation you must use a negative number because a negative with a subtraction equals adding
Please help and explain why you got it right please
Answer:
y+7 = -3 ( x-4)
Step-by-step explanation:
First find two points on the graph to find the slope
( 1,2) and ( 3,-4)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( -4-2)/(3-1)
= -6/2
=-3
We can use the point slope form
y - y1 = m(x-x1) where m is the slope and x1,y1 is a point on the line
We have two choices with a slope of -3
We can either use and x coordinate of -2 or 4
for -2, the y coordinate is not shown
for 4 , the y coordinate is -7
Using ( 4, -7) and m = -3
y--7 = -3( x- 4)
y+7 = -3 ( x-4)
Answer:
A
Step-by-step explanation:
We want to write the equation of the line as shown in the graph.
First and foremost, we should find the slope of the line. To do so, we will pick two points that the line crosses.
We see that the line crosses the points (0, 5) and (2, -1). Now, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 5) be (x₁, y₁) and let (2, -1) be (x₂, y₂). Substitute:
[tex]m=\frac{-1-5}{2-0}[/tex]
Subtract and reduce. So, our slope is:
[tex]m=-6/2=-3[/tex]
Therefore, our slope is -3.
Now, we can use the point-slope form to find the equation. Point-slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is our slope and (x₁, y₁) is any point the line crosses.
First, since we already know that our slope is -3, let's substitute -3 for m:
[tex]y-y_1=-3(x-x_1)[/tex]
So, we can eliminate choices C and D since the slope of those equations is 3 and not -3.
Now, we need to pick our (x₁, y₁). Let's go through the answer choices A and B to see which one is correct.
For A, we have:
[tex]y+7=-3(x-4)[/tex]
We can rewrite this as:
[tex]y-(-7)=-3(x-(4))[/tex]
Therefore, in A, our point is (4, -7).
Now, check. Does our line actually pass through (4, -7).
From the graph, we can see that it does. Therefore, A is our correct answer!
However, let's do B just to confirm. For B, we have:
[tex]y+1=-3(x+2)[/tex]
We can rewrite this as:
[tex]y-(-1)=-3(x-(-2))[/tex]
So, our point is (-2, -1).
Does our line pass through (-2, -1)?
Upon inspection, our line does not pass through (-2, -1). So, B is not correct.
So, our answer is A.
And we're done!
2x+3=x-4
what is the solution of this equation?
Answer:
2x+3=x-4
-x. -x
x+3=-4
-3. -3
x = -7
х2 + 3x = 8
Write the quadratic equation in standard form
Answer:
[tex]x^{2}[/tex] + 3x - 8 = 0
Step-by-step explanation:
The value of m varies inversely as the square of n. When n = 3 m = 6.
What is the positive value of n when m = 13.5?
(I already know C. is wrong)
A. 18
B. 2
C. 9 XXXX
D. 4
Answer:
B.]2
Step-by-step explanation:
The required positive value of n is 2. Hence, option B is correct.
Important information:
m varies inversely as the square of n.Whem n = 3, then m = 6.Inverse proportion:It is given that m is inversely proportional to the square of n. So,
[tex]m\propto \dfrac{1}{n^2}[/tex]
[tex]m=\dfrac{k}{n^2}[/tex] ...(i)
Where, k is the constant of proportionality.
Substitute m = 6 and n = 3 in the above equation.
[tex]6=\dfrac{k}{3^2}[/tex]
[tex]6=\dfrac{k}{9}[/tex]
[tex]6\times 9=k[/tex]
[tex]54=k[/tex]
Substitute this value in (i).
[tex]m=\dfrac{54}{n^2}[/tex]
Substitute m = 13.5 in the above equation.
[tex]13.5=\dfrac{54}{n^2}[/tex]
[tex]n^2=\dfrac{54}{13.5}[/tex]
[tex]n=\pm \sqrt{4}[/tex]
[tex]n=\pm 2[/tex]
Therefore, the required positive value of n is 2. Hence, option B is correct.
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. 20% of the people at a restaurant selected Chinese food. If 40 people did not select
the Chinese food then how many people were eating in the restaurant?
Answer:
Depends
Step-by-step explanation:
50
Answer:
50 people
Step-by-step explanation:
what is 2x1,000 plz help
Answer:
2,000
Step-by-step explanation:
Count 1,000 twice. 2 x 1,000 = 2,000. Have a nice day!
Answer:
2000
Step-by-step explanation:
Ignore the 0s since anything times 0 is 0. Multiply 1 by 2. Put the zeroes in the answer and it's 2000
plz i need help i did some just i need help i will mark brainliest
How do you round each number to the place value of the underlined digit?
Answer:
9. 80, 547.65
10. 135,702.0
Keiko stopped and bought 13.9 gallons of gas at a cost of $3.85 per gallon. How much did Keiko pay for the gas?
$53.52
$59.77
$535 15
$597 70
Answer:
A
Step-by-step explanation:
$53.52
Answer:
a
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!! ILL MAKE YOU THE BRAINLEST
Select the three numbers between 2/5 and 250%
0.25
11/4
0.9
2.5%
7/8
78%
Answer:11/4, 7/8, 78%
Step-by-step explanation:
Answer:
0.9 78% 7/8.I hoped I helped
determine the quotient of 1 1/3÷ 3/5
Answer:
c
Step-by-step explanation:
4/3
3/5
keep change fli[
20/9=2 2/9
in desperate need of help
Answer:
QR and TM never intersect
Step-by-step explanation:
this is the only answer that is ALWAYS true
Alice made the conjecture 5x = 30 and x = 5. Which of the following is true to her conjecture?
O True, x = 5
O True, x = -6
O False x = -5
O False, x = 6
Answer:
False, x=6
Step-by-step explanation:
5x=30
Divide 5 on both sides
5/5 leaves x
30/5=6
Bring down x
x=6
What are the 2 things we look for when trying to decide if two figures are scaled copies?
if the angles are the same, and side lengths are equally decreased or increased (depending if you are scaling up or down)
-2(3x - 4) + 7
divided by 3
Answer:
-6x+31/3
Step-by-step explanation:
Please help me i cant figure this out!
Answer:
Step-by-step explanation:
2 a. she has $10 in 5 days.
2 b. she 5 days.
1 a. 1 1/2 divided by 6=0.27 27/100
1 b. 3/4+1/3= 0.58 58/100=29/50
1 c. 1/12
Sally just purchased a beautiful home on a riverbank for what she thought was a very good deal. She later learned that her house was very susceptible to flood damage during the rainy season. Which of the following statements best describes the effect the location of Sally’s new home will have on her homeowners insurance premium?
a.
Financial loss due to flood damage is likely. Her insurance premiums will be higher than homes not on the waterfront.
b.
Since floods are likely, the value of the home decreases significantly, lowering the insurance premium at the same time.
c.
Since floods happen so infrequently, they are not considered a real threat to the value of the home. Sally’s insurance premium will not be affected.
d.
While extremely annoying, flood damage is usually inexpensive and will not affect the value of the home. Sally’s insurance premium should not be affected.
Answer:
A .Financial loss due to flood damage is likely. Her insurance premiums will be higher than homes not on the waterfront.
Step-by-step explanation:
Got it right on the quiz hope this helps. :)
Statements which best describes, effect the location of Sally’s new home is, (A) Financial loss due to flood damage is likely. Her insurance premiums will be higher than homes not on the waterfront.
What is natural disaster insurance?The natural disaster insurance is the type of insurance in which the insurance company pay the total amount of loan to the beneficiary in case of loss of his property or life in a natural disaster such as earth quack, flood etc.
The face value of natural disaster insurance is depends on following factor:
The face value of natural disaster insurance depends on the location of the house or property.If it is based on the place where the risk of loss due to natural disaster is low, then face value is high and vice versa.Insurance premiums of such places is low, than the place which are at high risk of natural disaster.Sally just purchased a beautiful home on a riverbank for what she thought was a very good deal.
She later learned that her house was very susceptible to flood damage during the rainy season.
In this case, the face value or insurance premiums is high as her house was very susceptible to flood damage during the rainy season.
Thus, the statements which best describes the effect the location of Sally’s new home will have on her homeowners' insurance premium is, (A) Financial loss due to flood damage is likely.
Her insurance premiums will be higher than homes not on the waterfront.
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Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank contains 10452 L at 3:56PM and 8092 L at 4:12PM the same day, at what time will the tank contain only 6617 L?
Answer:
35 minutes from 4:12 pm at 4:47 pm the tank will contain only 6617 liters of water.
Step-by-step explanation:
3:56-4:12 = -00:56 minutes passed
10452-8092=2360 liters of water lost
8092-6617=1475 liters
meaning: 56 mins lost 2360L
x mins lost 1475L
(the 2360 liters lost)/(the 56 minutes during which they were lost) is equal to the rate at which (the 1475 liters would be lost)/(the unknown amount of time)
2360/56 = 1475/x (cross multiply)
2360x = 1475(56)
2360x = 82600 (simplify)
x = 82600/2360 (divide to isolate x)
x = 35 (the unknown amount of time during which the water is lost)
4:12 pm plus 35 minutes is 4:47 pm.
The flow rate is the product of the speed of flow and the area through which the fluid flows
The time at which the tank will contain 6,617 L is 4:22 PM
Reason:
Known parameters are;
Volume of water in the tank at 3:56 PM = 10,452 L
Volume of water in the tank at 4:12 PM = 8,092 L
The rate at which water is flowing out of the tank, R, is given as follows;
[tex]Flow \ rate, \, Q = \dfrac{10,452 - 8,092}{3:56 - 4:12 } = 147.5[/tex]The flow rate, Q, of water out of the tank, Q = 147.5 L/min
The time it will take tank to contain 6,617 L, is given as follows;
Volume flow out = 10,452 L - 6,617 L = 3,835 L
The time it takes to flow to remain 6,617, t = [tex]\dfrac{3,835}{147.5} = 26[/tex]
It takes 26 minutes from the start before the water remaining is 6,617 L
Therefore, the time of the day, T = 3:56 PM + 26 minutes = 4:22 PM
The time at which the tank will contain 6,617 L is at 4:22 PMLearn more here:
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