Answer:
(did you forget the picture?) if those numbers are the lengths of the prism just multiply them all.
multiply them to get 60.9
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
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.
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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
Graph the linear equation.
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:
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]
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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Write a ratio for each phrase :
5 cupcakes for every 2 children
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
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
help me pleasee, ASAP!!
The following function describes the number of employees working at a company, In thousands, where trepresents the number of years since the company revised the benefits package.
f(t) = 1.5(0.90)^t
Consider the missing part of the question is "Select the correct statement.
A. The number of employees is increasing by 50% every year.
B. The number of employees is decreasing by 10% every year.
C. The number of employees is decreasing by 90% every year.
D. The number of employees is increasing by 90% every year."
Given:
The function is:
[tex]f(t)=1.5(0.90)^t[/tex]
Where, f(t) is the number of employees working at a company, in thousands and t is the number of years since the company revised the benefits package.
To find:
The correct statement from the given options.
Solution:
The general exponential decay model is:
[tex]f(t)=a(1-r)^t[/tex] ...(i)
Where, a is the initial value, r is the rate of decay and t is the number of years.
We have,
[tex]f(t)=1.5(0.90)^t[/tex]
It can be written as
[tex]f(t)=1.5(1-0.10)^t[/tex] ...(ii)
From (i) and (ii), we get
[tex]a=1.5,r=0.10[/tex]
The initial value is 1.5 and the rate of decay is 0.10 or 10%. It means the number of employees is decreasing by 10% every year.
Therefore, the correct option is B.
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
The dot plot below shows the number of concerts students at Albus Middle School have attended.
What is the interquartile range of the data set shown?
A. 2
B. 6
C. 3
D. 1
Answer:
2
Step-by-step explanation:
The interquartile range of the given data set is 2.
We need to find the interquartile range of the data set given.
How to find the interquartile range?To find the interquartile range (IQR), first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
The given set of data is
0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6
To find Q1:
The lower half of the numbers are
That is 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2,
So the median of the lower half (Q1)=1
To find Q3:
The upper half of the numbers are 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6
So the median of the upper half (Q3)=3
Then, IQR=Q3-Q1=3-1=2
Therefore, the interquartile range of the given data set is 2.
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what is the square root of 36x6y2
Step-by-step explanation:
Please refer to the attachment
X-7>29 inequalities someone please help
Answer:
x>36
Step-by-step explanation:
Hope this helps and good luck
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!)
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]
) Find the area of the shape. *
Answer:
20 + 75 = 95
Step-by-step explanation:
10 - 5 = 5 x 4 = 20
5 x 15 = 75
Add them together,
75 + 20 = 95
pls help ............
Answer:
36.84997
Step-by-step explanation:
Answer:
36.84997
Step-by-step explanation:
Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answer:
Step-by-step explanation:
A=19000( 1 + 0.03)^8
A=24068.6315464
A≈24100
Round to the nearest hundred dollars
Helpppp hurry and no links please
Answer:
8.3
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 gaming console is $125 and it was reduced by 17%. How much is the gaming console after the reduction?
Answer: 103.75
Step-by-step explanation: hope this helps!
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
f(x) = (x + 2) (x - 7)3
Answer:
y=3x^2 -15x-42
Step-by-step explanation:
What is the equation that describes the function please help
Answer:It’s the third choice y=3x+1
Step-by-step explanation:
What is 30% of $439 p
math is my worst subject
Answer: $131.7
Step-by-step explanation:
Use the equation 439(n)
n will be 0.30 in this case
now multiply them
439(0.30)
Your answer will be
$131.7
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.
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:
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