Answer:
89-29x
Step-by-step explanation:
An executive traveled 1,930 miles by car and plane. He drove to the airport at an
average speed of 60 mph and the plane averaged 350 mph. The total trip took 8 hours.
How long did it take to get to the airport?
Answer:
It took 3 hours to get to the airport
Step-by-step explanation: Can I get brainliest? Thanks!
Total distance = 1930
Car speed avg = 60 miles per hour
Plane speed avg = 350 miles per hour
Time = 8 hours
(60*3)+(350*5)=1930 (Try combinations of 3+5, 4+4, 2+6 etc)
It took 3 hours to get to the airport
Anyone know 10% of $49.31
10% of $49.31
$4.931 dollars
Lydias hotel room number has three digits.The hundreds digit has a value of 40 Tens.The Tens digit is greater than 6. Which could be Lydias hotel room number?
Any 3 digit number can be expressed in the form of:
[tex](a*100)+(b*10)+(c*1)[/tex]
Where [tex]a, b, c[/tex] represent any natural number from 0 to 9.
We are told the hundreds number (this means [tex]a*100[/tex] in the expression above) is equal to the value of 40 tens, 40 tens is 400. Then, we know the digit in the tens is greater then 6, this means [tex]b>6[/tex] in the expression above.
So, there are multiple numbers the room number could be, namely:
[tex]400+(b*10)+(c*1)\\[/tex]
where [tex]b[/tex] can be 7, 8, or 9; and [tex]c[/tex] can be 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. So, there's 30 possible room numbers Lydia may be.
A tank contains 350 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t.
Answer:
[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]
A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]
Step-by-step explanation:
Given - A tank contains 350 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t.
To find - Find the rate at which the number of grams of salt in the tank is changing at time t.
Find the number A(t) of grams of salt in the tank at time t.
Proof -
Given that,
Total fluid in the tank = 350 litres
Total salt = 40 grams
Rate in flow = 5 L/min
Rate out flow = 5 L/min
Concentration in = 0
Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)
Now,
Total solution in the tank at time t = Total fluid in the tank + (Rate in flow - Rate out flow )t
= 350 + (5 - 5)t
= 350
⇒Solution in the tank at time t = 350
⇒Concentration out = [tex]\frac{A(t)}{350}[/tex]
Now,
Rate of change in the tank at time t = [tex]\frac{dA}{dt}[/tex]
= (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)
= 5(0) - 5([tex]\frac{A(t)}{350}[/tex])
= 0 - [tex]\frac{A(t)}{70}[/tex]
= [tex]-\frac{A(t)}{70}[/tex]
⇒[tex]\frac{dA}{dt}[/tex] = [tex]-\frac{A(t)}{70}[/tex]
⇒[tex]\frac{dA}{A} = -\frac{1}{70} dt[/tex]
Integrate both sides , we get
ln(A) = [tex]-\frac{1}{70}t + C[/tex]
⇒A(t) = [tex]e^{-\frac{t}{70}+ C}[/tex]
= [tex]e^{-\frac{t}{70}}*e^{C}[/tex]
= [tex]C_{1} e^{-\frac{t}{70}}[/tex]
⇒A(t) = [tex]C_{1} e^{-\frac{t}{70}}[/tex]
Now,
Given that,
Initially, the tank has 40 grams of salt
⇒A(0) = 40
⇒C₁ = 40
⇒A(t) = [tex]40 e^{-\frac{t}{70}}[/tex]
f(x) = (x + 2) (x - 7)3
Answer:
y=3x^2 -15x-42
Step-by-step explanation:
What is the solution to the following system?
x+2y+z=9
x-y+3z=13
2z=10
Answer:
x=0 y=2 z=5
Step-by-step explanation:
so for z
2z=10
divid both side by 2
z=5
equation one
x+2y+5=9
x+2y=4 ------eqn1
equation two
x-y+ 3(5)=13
x-y+15=13
x-y=-2-----eqn2
now you solve it by elimination
eqn1-eqn2
3y=6
y=2
put y=2 into eqn2
x-2=-2
x=0
Christopher has a stick that he has marked out in tenths. He has to break the stick into three pieces of which no two pieces can have the same length. Give three equations that show different ways in which he could break the stick.
The relationship between the three pieces is such that, their
sum is the length of the given stick.
Correct response:
Three equations that show different ways in which he can
break the stick of length l based on a unit length x are;
l = x + 2·x + 3·xl = x + 5·x + 8·xl = 3·x + 2·x + 6·xHow to write equations of three variables that have the same total sum?Given parameters are;
The number of pieces into which Christopher has to break the stick = 3 pieces
Length of a piece ≠ The length of the other pieces
Required:
Three equations that shows the different ways Christopher can break the stick.
Solution:
Let l represent the length of the stick, let x, represent a unit
length, and let, A, B, and C, represent the length of the pieces.
Three possible equations that can be written using multiples of x are;
l = x + 2·x + 3·xWhere;
The the relationship between the lengths of the pieces are;
A = x ≠ B = 2·x ≠ C = 3·x
[tex]x = \mathbf{ \dfrac{l}{6}}[/tex]
l = x + 5·x + 8·xA = x ≠ B = 5·x ≠ C = 8·x
[tex]x = \mathbf{ \dfrac{l}{14}}[/tex]
l = 3·x + 2·x + 6·xWhere;
A = 3·x ≠ B = 2·x ≠ C = 6·x
[tex]x = \mathbf{\dfrac{l}{11}}[/tex]
Learn more about writing equations here:
https://brainly.com/question/17218287
A portion of a roadmap is shown in the figure. What is the measure of angle p.
Step-by-step explanation:
Per our conceptual understanding, when two parallel lines are cut by a transversal line then their corresponding angles are equal.
So, If PQ and RS are two parallel lines and line L1 as shown is the transversal line then the corresponding angles are equal.
Hence, ∠1 = ∠2Or, c0 = 1800 – c02c = 180c = 90°
Therefore, if we get c = 90° then PQ and RS are parallel else PQ and RS are not parallel,
With this understanding, let us now analyse the individual statements.
Step 3: Analyse Statement 1
“b = 2a”
Per conceptual understanding, the sum of all the angles of a triangle is 180.
Hence, a + b + c = 180a + 2a + c = 1803a + c = 180
However, from the above equation, we can get many values of a and c.
Hence, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
“c = 3a”
a + b + c = 180a + b + 3a = 180b + 4a = 180
However, from the above equation, we can get many values of a and b.
Hence, statement 2 is not sufficient to answer the question.Step 5: Combine Both Statements Together (If Needed)
From statement 1:
3a + c = 180
From statement 2:
c = 3a
Combining both the statements:
3a + 3a = 180.
From the above equation, we can find the value of a. Then we can find c.
Since we could find the answer by combining both the statements, option C is the correct answer.
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Monique sells lemonade at a lemonade stand. The model she uses to predict future
lemonade sales is described by the equation f(1) = 2(x – 65) + 12, where I is
the high temperature of the day and f(x) is the number of glasses of lemonade sold.
Which statement describes the slope of Monique's equation?
Answer:
The answer would be D
Step-by-step explanation:
Why? because as the temperature increases the amount of lemonade sold increases by 2
This is represented in 2(x) if that makes sense
For every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The function is given below.
f(x) = 2(x – 65) + 12
f(x) = 2x – 130 + 12
f(x) = 2x – 118
For every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
The missing options are given below.
a) for every 65-degree decrease in high temp of the day, lemonade sales increase by 1 glass of lemonade
b) for every 1-degree increase in high temp of the day, sales increase by 2 glasses of lemonade
c) for every 65-degree decrease in high temp of the day, sales decrease by 1 glass
d) for every 1-degree increase in high temp of the day, sales decrease by 2 glasses of lemonade
A cohort study was undertaken to examine the association between high lipid level and coronary heart disease. Participants were classified as having either a high lipid level (exposed) or a low or normal lipid level (unexposed). Because age is associated with both lipid level and risk of heart disease, age was considered a potential confounder, and the age of each subject was recorded. The following data describes the study participants:Overall, there were 11,000 young participants and 9,000 old participants. Of the 4,000 young participants with high lipid levels, 20 of them developed CHD. Of the 6,000 old participants with high lipid levels, 200 of them developed CHD. In the unexposed, 18 young and 65 old participants developed CHD.1. Construct the appropriate two by two tables using the data given above. Be sure to label the cells and margins.2. Calculate the appropriate crude ratio measure of association combining the data for young and old individuals.3. Now, perform a stratified analysis and calculate the appropriate stratum-specific ratio measures of association. What are they?4. Do the data provide evidence of effect measure modification on the ratio scale? Justify your answer.
Step-by-step explanation:
1. Is a table which is contained in the attachment
2. The crude ratio measure
= 4000x3000+20*5800/7000*6000+200*3980
= 12000000+116000/42000000+796000
= 12116000/42796000
= 0.283
3. Stratum specific for high lipid
= 12000000/42000000
= 0.285
= 0.29
Stratum specific for chf
= 116000/796000
= 0.145
= 0.15
4. High lipid has higher risk than chd from the solution here
pls help ............
Answer:
36.84997
Step-by-step explanation:
Answer:
36.84997
Step-by-step explanation:
What is the area of this figure?
Enter your answer in the box.
Answer:
20
Step-by-step explanation:
add 3ft+3ft+11ft+3ft and that's your answer
Which expression is equivalent to 4(m+2)?
Answer:
=4m+8
Step-by-step explanation:
=(4)(m+2)
=(4)(m)+(4)(2)
=4m+8
Answer:
4m +8
Step-by-step explanation:
Take out the parenthesis
Write a ratio for each phrase :
5 cupcakes for every 2 children
The first Portuguese explorer to lay claim to Brazil was
Question 3 options:
Getulio Vargas
a Jesuit priest
Pedro Cabral
Ferdinand Magellan
Answer:
Cabral is right
Step-by-step explanation:
Mark me brainleyest plz
HELP ME.,,,,,,,,,,,,,,,,,,,
Answer:
Step-by-step explanation:
Use pythagorean theorem
9^2 +40^2=x^2
81+1600=x^2
1681=x^2
now find the square root of each side
[tex]\sqrt{1681} =\sqrt{x}[/tex]
x=41
Liam, Sarah and Emily shared some money in the ratio 3:6:8
Emily got £80 more than Liam.
How much money did Sarah get?
Should you use theoretical or experimental probability to predict the number of times you will draw an M in 2,000 draws? Explain
No troll comments + don’t answer if you don’t know..
And I don’t want to see, attach a file here and then some wierd website name... Stop it’s not funny
Answer:
Sorry If I'm wrong but I'm pretty sure you would use theoretical
Step-by-step explanation:
Because Theoretical is used to make predictions and when doing this you would have to make lots of predictions on what you would get.
(Hope It's Right!)
Diameter:
20 inches
Use the image above to calculate the CIRCUMFERENCE of the circle. Write your answer below. Click the show
your work tab below to answer.
NEED HELP ASAP 15 POINTS
If the diameter
of Earth is 7918
miles, what is the
distance from its
surface to its core,
in miles?
Answer:
3959
Step-by-step explanation:
Distance from surface to its core is 3,959 miles
Distance based problem:Given that;
Diameter of earth = 7,918 miles
Find:
Distance from surface to its core
Computation:
Radius of earth = Distance from surface to its core
Distance from surface to its core = 7,918 / 2
Distance from surface to its core = 3,959 miles
Find out more about 'distance'.
https://brainly.com/question/26711747?referrer=searchResults
inverse operation needed
Answer:
it is C.
Step-by-step explanation:
we know,
14+17= 31
so if we subtarct 17 from 31 we get 14
and if we subtract 14 from 31 we get 17
what is the square root of 36x6y2
Step-by-step explanation:
Please refer to the attachment
the jawbreaker machine
Answer:
D.
Step-by-step explanation:
If you add them all up and subtract 30 you get 60
I MAYBE MESSED UP // haven't done this math in a while
2. Party Land charges a $125 flat fee for a birthday party with an additional charge of $5.00
for each person attending. Lucy has at most $450 to spend on her party. What is the
greatest number of people that she can have at her party so that she doesn't go over her
budget?
Answer:
She can invite 66 people so 66 x 5 = $330 + 120 = $450
Step-by-step explanation:
if i walk 4 miles per hour how long would it take to walk 18 miles
Answer:
18/4 = 4.5
it would take you about 4 hours and 30 minutes to walk 18 miles
Step-by-step explanation:
Answer:
4 1/2 hours
Step-by-step explanation:
RATIO:
Miles Hours
4 1
8 2
12 3
16 4
18 4 1/2
You need to get from 16-18 so you have to get 4-2 and 1 hour to 1/2 hour.
A teacher buys a binder for $1.75 and a monthly planner for $9.50 for each student in their classroom. The teacher spends a total of $562.50 for all of the binders and monthly planners.
How many students are in the teacher's class?
Please help I need the answer ASAP
Answer:
for 1 student it would equal 11.25
11.25 x 50 = 562.50
ur answer is 50 students hope this helps :)
Answer:
the teacher has 50 students
Step-by-step explanation:
1.75+9.50=11.25
562.50/11.25=50
Helpppp hurry and no links please
Answer:
8.3
Step-by-step explanation:
Dave sold 60 general and reserved tickets for a concert. He sold general tickets for $10 each and reserved tickets for $15 each collecting a total of $725. Write a system of equations to determine the number of tickets he sold at each price and solve your system of equations?
Answer:
The system is of equations is:
[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]
Where g is the amount of general tickets and r is the amount of reserve tickets.
35 general tickets and 25 reserve tickets were sold.
Step-by-step explanation:
Let general tickets be represented by g and reserved tickets be represented by r.
Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:
[tex]10g+15r=725[/tex]
And a total of 60 tickets were sold. Hence:
[tex]g+r=60[/tex]
Our system of equations is:
[tex]\left\{ \begin{array}{ll} 10g+15r=725 & \quad \\ g+r=60 & \quad \end{array} \right.[/tex]
We can solve by substitution. First, divide both sides of the first equation by 5:
[tex]2g+3r=145[/tex]
Next, we can subtract a variable (r in this case) from the second equation:
[tex]g=60-r[/tex]
Substitute:
[tex]2(60-r)+3r=145[/tex]
Distribute:
[tex]120-2r+3r=145[/tex]
Simplify:
[tex]120+r=145[/tex]
Subtract:
[tex]r=25[/tex]
Using the previous equation:
[tex]g=60-r[/tex]
Substitute and evaluate:
[tex]g=60-(25)=35[/tex]
So, 35 general tickets and 25 reserve tickets were sold.
X-7>29 inequalities someone please help
Answer:
x>36
Step-by-step explanation:
Hope this helps and good luck
Brianna has six bags of soil filling one flower pot requires 1/3 of a bag of soil how many flower pots can be filled with the six flags
Answer:
18
Step-by-step explanation:
[tex]\frac{6}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Keep Change Flip
[tex]\frac{6}{1}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{18}{1}[/tex]