whitney and albert are both working during the summer
Step-by-step explanation:
so whats the equation
Graph the linear equation.
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 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
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
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.
To learn more about the interquartile range visit:
https://brainly.com/question/15686744.
#SPJ5
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?
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
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
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
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
Write a ratio for each phrase :
5 cupcakes for every 2 children
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
The perimeter of a rectangle is 72 meters. The width of the rectangle is 4 meters less than the
length. Find the length and width of the rectangle. (Use I for the length)
e meters
le - 4) meters
Answer:
Step-by-step explanation:
Perimeter = 2l + 2w
With the given statement, the width of the rectangle is 4 meters less than the
length,
w = l - 4
sub that in the first equation,
Perimeter = 2l + 2(l - 4)
Perimeter = 2l + 2l - 8
Perimeter = 4l - 8
Since perimeter is 72m,
72 = 4l - 8
4l = 80
l = 20m
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
What is the equation that describes the function please help
Answer:It’s the third choice y=3x+1
Step-by-step explanation:
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:
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]
What's the slope and y-intercept of the graph of 7x + y = 8? Question 4 options: A) Slope = –7, y-intercept = 8 B) Slope = –7, y-intercept = –8 C) Slope = –8, y-intercept = 7 D) Slope = 7, y-intercept = 8
Answer:
Slope is -7 and the y-intercept is 8
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.
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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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
Helpppp hurry and no links please
Answer:
8.3
Step-by-step explanation:
In a certain algebra two class of 26 students 10 of them play basketball and five of them play baseball there are three students who play both sports what is the probability that a student chosen randomly from the class plays basketball baseball?
Answer:
3/26 students or 11% Pls give brainly :)
Step-by-step explanation:
probability dependant formula:P(A∪B)=P(A)+P(B)−P(A∩B)
P(a)= basketball
P(b)=baseball
so
P(AUB)=P(A)+P(B)-P(A∩B)= 18/26+5/26-20/26=3/26
3/26 or 11%
OR you could solve this by adding all the sport/non sport #'s 18+5+6=29 and subtract 26 from 29
29-26=3
hence 3/26 students would randomly play basketball or baseball
Hope this Helps!
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
) 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
Tony and Edwin each built a rectangular garden. Tony’s garden is 4 feet longer and 5 feet wider than Edwin’s garden. If the perimeter of Edwin’s garden is 36 feet, what is the perimeter of Tony’s garden?