Answer:
Prancer sent $240 on presents, half of 240 is 120, so that is how much Dasher spent. Since Cupid spent Dashers amount x3. Then, 120 times 3 is 360
So,
Prancer - $240
Dasher - $120
Cupid - $360
4 + 3(x + 5) hhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllllllllllppppppppppppppppppppppppppppppppppppp
Answer:
3x + 19
Step-by-step explanation:
What would the missing coordinate be if there was an inverse relationship between points (12,3) and (x,9)
Answer:
4.
Step-by-step explanation:
inverse proportion:
12/3=x/9.
3x3=9 therefore 12/3 which is 4.
The missing coordinate is 4.
Hope this helps plz hit the crown :D
mina 15. a car gets $12$ miles per gallon uphill and $24$ miles per gallon downhill. if the car goes to the top of pike's peak and back ($48$ miles uphill followed by $48$ miles downhill), what is the car's gas mileage, in miles per gallon, for the entire trip?
If the car goes to the top of spike's peak and back, the mileage of the car is 16 miles per gallon
The mileage of car in uphill = 12 miles per gallon
The mileage of car in downhill = 24 miles per gallon
The total distance traveled in up hill = 48 miles
The number of gallon of gas used = 48/12
= 4 gallon
The total distance traveled in down hill = 48 miles
The number of gallon of gas used = 48 / 24
= 2 gallon
Total distance traveled = 48 + 48
= 96 miles
Total number of gallons of gas = 4 + 2
= 6 gallon
The mileage = Total distance / The number of gallon
= 96 / 6
= 16 miles per gallon
Therefore, the mileage of the car is 16 miles per gallon
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A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi?
John travelled 22 miles.
$36 - $3 = $33
$33/$1.50 = 22 miles
A water tank at Camp Newton holds 1200 gallons of water at time t = 0. During the time interval Osts 18 hours, water is pumped into the tank at the rate
W(t) = 95Vt sin^2 (t/6) gallons per hour During the same time interval water is removed from the tank at the rate R(t) = 275 sin^2 (1/3) gallons per hour a. Is the amount of water in the tank increasing at time t = 15? Why or why not?
b. To the nearest whole number, how many gallons of water are in the tank at time t = 18? c. At what time t, for 0 st 18, is the amount of water in the tank at an absolute minimum? Show the work that leads to your conclusion d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(C) until the tank becomes empty. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.
(a)The amount of water in the tank is increasing.
(b)Evaluate \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.
(c)Solve part (b) to get the absolute minimum from the critical points.
(d)The equation can be set up as \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.
What is the absolute value of a number?
The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.
To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:
a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.
At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.
Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.
b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:
\(\int\limits^{18}_0(W(t) - R(t)) dt\)
Evaluate this integral to get the number of gallons of water in the tank at t = 18.
c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.
d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.
The equation can be set up as:
\(\int\limits^k_{18}-R(t) dt = 1200\)
Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.
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Find the distance between the given parallel planes. 6z = 2y − 2x, 9z = 2 − 3x + 3y
The Distance between the given parallel planes is 8.84.
According to the statement
we have given that the two parallel planes and we have to find the distance between them.
So, For this purpose, we know that the
First let us find a point on one plane. For this in plane 9z +3x - 3y = 2
assume x = 0 and y = 0 then and hence (0,0,2/9) on this plane.
Now we find the distance between point (0,0,2/9) and plane 6z -2y + 2x =0
So,
As distance from a point to plane is
\(D= \frac{|ax_1+by_1+cz_1+d|}{\sqrt{ (a^2+b^2+c^2)}}\)
And
now substitute the values in then
\(D= \frac{|2*0+ (-2)0+6*2/9+0|}{\sqrt{ 36 +4+4)}}\)
Then the value becomes
\(D= \frac{4/3}{\sqrt{ (44)}}\)
\(D= \frac{4\sqrt{44} }{3}\)
Then solve it
\(D= \frac{26.52}{3}\)
then
D = 8.84
So, The Distance between the given parallel planes is 8.84.
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Find f(-5) if f(x) = 5x + 11.
A) 4
B) 5
C) 6
Step-by-step explanation: Since f(x) = 5x + 11, we find f(-5)
by substituting a -5 in for the x in the function to get f(-5) = 5(-5) + 11.
Now just simplify the right side to get -25 + 11 or -14.
So f(-5) = -14.
What is the degree measure of z?.
Answer:
z = 68
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the opposite internal angles
z = 39+29
z = 68
Which of the following is true?
A. 0 is neither a rational number nor an irrational number
B. -6.175 is an irrational number.
C. Square root of 2 is an integer.
D. 4.833 is a rational number but not an integer.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation
A rational number is a number that can be written as a fraction. 4.833 can be written as 4833/1000.
An integer is a whole number. Whole numbers can not have decimals. Therefore, the answer is D
Help me with this math problem please
Answer:
\(y=8\)
\(RS=77, ST=31\)
Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:
\(RT=RS+ST\)
We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:
\(108=(9y+5)+(3y+7)\)
On the right, combine like terms:
\(108=(9y+3y)+(5+7)\)
Add:
\(108=12y+12\)
Subtract 12 from both sides. The right cancels:
\(96=12y\)
Divide both sides by 12:
\(y=8\)
So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:
\(RS=9y+5\)
Substitute 8 for y:
\(RS=9(8)+5\)
Multiply:
\(RS=72+5\)
Add:
\(RS=77\)
Do the same for ST:
\(ST=3y+7\)
Substitute 8 for y:
\(ST=3(8)+7\)
Multiply:
\(ST=24+7\)
Add:
\(ST=31\)
Omg this is so painful help pls quick
The SAS Similarity Theorem proof for the ΔABC and ΔDEF is as follows:
∠A ≅ ∠D Given
AB/DE ≅ AC/DF Given
Since AB/DE ≅ AC/DF (Similarity of Ratios); then
ΔABC ~ ΔDEF by the SAS Similarity Theorem.
Why is the SAS Similarity Theorem important?
The SAS (Side-Angle-Side) similarity theorem is an important theorem in geometry that states that if two triangles have two pairs of corresponding sides that are proportional and the included angles are congruent, then the triangles are similar.
This theorem is important because it provides a quick and easy method to determine if two triangles are similar, and it is widely used in geometry and trigonometry to solve problems involving triangles.
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Hello ! I can not solve this problem of equations can you help me please.
Three mobile operators offer, for the same phone, the following rates :
Operator A: 120€ per phone and 20€ per month subscription.
Operator B: 40€ per phone and 25€ per month subscription.
Operator C: 10€ per phone and 30€ per month subscription.
1) Complete: the one who will keep his phone for a long time will choose the operator ..., the one who will keep his phone for a short time will choose the operator ... and the operator ... is an intermediate choice.
2) Calculate the number of months for which each operator is advantageous.
Thanks in advance for your help !
1. The one who will keep his phone for a long time will choose the operator A, the one who will keep his phone for a short time will choose the operator C, and the operator B is an intermediate choice.
What is fixed and variable cost?Fixed costs are outlays that don't change no matter how much is produced or sold. Rent, salary, and insurance are a few examples of fixed costs. Contrarily, variable costs are expenses that vary according to the volume of production or sales. The costs of labour, commissions, and raw materials are a few examples of variable costs. Because they must be paid regardless of the volume of production or sales, fixed expenses are frequently referred to as "sunk costs," in contrast to variable costs, which are closely related to income and are simpler to control.
1. The one who will keep his phone for a long time will choose the operator A, the one who will keep his phone for a short time will choose the operator C, and the operator B is an intermediate choice.
2. Let us suppose number of months = X.
Thus,
For Operators A and B:
120 + 20X = 40 + 25X
5X = 16
X = 3.2
For Operators B and C:
40 + 25X = 10 + 30X
X = 6
Hence, Operator C is the best option for someone who intends to keep the phone for less than 3.2 months. Operator B is the ideal option for someone who intends to keep the phone for 3.2 to 6 months. Operator A is the greatest option for someone who intends to keep the phone for more than six months.
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Multiply.
-7.8
-56
-1
56
5
please help
\(-7.8\left(-56\right)=436.8\)
\(-7.8\left(-1\right)=7.8\)
\(-7.8\cdot \:56=-436.8\)
\(-7.8\cdot \:5=-39\)
FIND THE VALUE OF X.
60.
42.
30.
88.
Find the volume of the hemisphere with a diameter of 2
Justin and Alexis were Dave and Busters. What you need to pay an initial fee of $ 5.00 and a price per game. Justin played 5 games and paid $ 12.50 in total. Alexis played 7 games and paid $ 15.25 in total. We can express the relationship between the number of games played and the total cost with the ordered pairs (5, 12.75) and (7, 15.25).
Find the rate of change and explain the importance of the rate of change in terms of the problem.
Answer:
The equation of the relationship is y = 1.25x + 6.5
Step-by-step explanation:
I graphed the ordered pairs on the graph below and found the slope and y-intercept of the line.
The price per game is $7.75. (If needed)
Drag the point around to graph more horizontal lines. What is the general equation of a horizontalline?
A horizontal line is one for which the value of y is the same for the entire length of the line. Therefore this type of line can be expressed as below:
\(y=c\)Where "c" is a constant that changes the position of the line on the coordinate plane. If c is equal to 2, then we have a constant line that crosses the y-axis at the position 2 for example.
Does anyone knows how to hide history on school Chromebook
Answer:
ctrl + H to go to history and delete the stuff there
or private browsing
ideally you use a vpn like Proton vpn AND use private browsing to hide history
Question 8 of 25
What is the domain of the graphed function?
a
b
c
d
Keep in mind, the domain is a set of x-values so determined by x-axis, the horizontal one.
In your case the domain appears to be any x less than or equal to zero, so third option.
Hope this helps.
What is the answer for number 8?
Step-by-step explanation:
radius (r) = 6
height (h) = 8
total surface area = 2π×r×h + 2πr²
= (2×3.14×6×8) + (2×3.14×6×6)
= (301 44) + (226.08)
= 527.52
FOLLOW MEPut the following equation of a line into slope-intercept form, simplifying all fractions. 9y−3x= −54
The equation of the line into slope-intercept form is y = x/3 - 6
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to put the equation of a line into slope-intercept form?From the question, we have the following equation that can be used in our computation:
9y−3x= −54
Rewrite properly
This gives
9y - 3x = -54
Divide through the equation by 3
So, we have the following representation
9y/3 - 3x/3 = -54/3
Evaluate
3y - x = -18
To rewrite as slope-intercept form is to make y the subject
So, we have
3y = x - 18
Divide through the equation by 3
So, we have the following representation
y = x/3 - 6
Hence, the equation is y = x/3 - 6
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solve a woman started a business by birr 3000. she lost birr 100 in the first month and birr 60 in the second month , birr 20 in the third month and so on. assuming thus improvement continued at the same rate ,determune her total capital in two years and 7 months
The total capital in for the woman in two years and 7 months is Birr 1800.
How to calculate the value?It's important to note that 2 years and 7 months in months will be:
= (2 × 12) + 7
= 24 + 7
= 31 months
The first term on the information is 3000. The common difference is (60 - 100) = -40.
Therefore, the value for the 31st term will be:
= a + (n - 1)d
a = first term = 3000
n = number = 31
d = difference = -40
= 3000 + (31 - 1) × (-40)
= 3000 + (30 × -40)
= 3000 - 1200
= 1800
This is the capital after 31 months.
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Using the quantity equation of money mv=pq, calculate the money supply (m) if velocity (v) equals 4, the price level (p) equals 100, and real gdp (q) equals 125.
The money supply using the quantity equation of money mv=pq, will be 3125.
We have,
The quantity equation of money,
i.e. mv = pq,
Here,
m = money supply,
v = velocity ,
p = price level,
q = real gdp
So,
Now,
According to the question,
To find money supply,
We will use The quantity equation of money,
i.e. mv = pq,
So,
Now,
Putting values,
i.e.
Money supply × velocity = price level × real gdp,
i.e.
m × 4 = 100 × 125
On solving we get,
m = 3125
i.e.
Money supply = 3125,
So,
The money supply using the quantity equation of money = 3125.
Hence we can say that the money supply using the quantity equation of money mv = pq, will be 3125.
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PLEASE HELP ! ! ! pleaseeeee ! ! ! ! ! :C
Answer:
5/2
Step-by-step explanation:
When you multiply exponents, you add the powers, and when you subtract exponents, you subtract the powers.
Step 1: Move negative exponents
\(\frac{2^25^6}{2^35^35^2}\)
Step 2: Combine exponents
\(\frac{2^25^6}{2^35^5}\)
Step 3: Remove like terms
\(\frac{5^1}{2^1}\)
Step 4: Exponent
5/2
A four day camping trip costs 800$. The camper rental fee was 340$. Also included were four camper tickets. How much was each ticket?
Answer:
$115 each
Step-by-step explanation:
(800 - 340)/4 = 115
Select the correct answer from each drag-drop menu.
I’m triangle ABC m
The side lengths, in order from greatest to least, are __________(Ab, Ac, or Bc) for all 3 blanks.
Answer:
I think the answers bc, ab, and ac
Step-by-step explanation:
Sorry if it ends up being wrong i had the question before but im pretty sure that's the answer.
4. Un cuadrado tiene un área de 400 cm2; si se aumenta un centímetro por lado, ¿cuál será el perímetro del nuevo cuadrado?
Step-by-step explanation:
I can't read Spanish or read Spanish I'm sorry
A newsletter publisher believes that over 63 % of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.10 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim? Answer 2 Points m Tables Keypad There is sufficient evidence at the 0.10 level of significance that the percentage is over 63 %. There is not sufficient evidence at the 0.10 level of significance to say that the percentage is over 63 % .
Answer:
Step-by-step explanation:
The conclusion is that the null hypothesis is not true
what two rates can you write for the ratios shown by th e double number line what do they tell you
Rate 2 tells us that for every 1 unit of x, we have 2 units of y.
What is double number line?
A double number line is a diagram that shows a proportional relationship between two quantities by representing them as two parallel lines marked with tick marks at regular intervals. The tick marks on one line represent the values of the first quantity, while the tick marks on the other line represent the values of the second quantity.
To write rates for the ratios shown by the double number line, we need to identify two corresponding values on each line and express the ratio between them.
For example, consider the following double number line:
0 1 2 3 4
|-------|-------|-------|-------|-------|
0 10 20 30 40 50
|-------|-------|-------|-------|-------|
x y
We can write two rates for the ratio between x and y as:
Rate 1: x units per y units
Rate 2: y units per x units
For example, if x is 15 and y is 30, we can write:
Rate 1: 15/30 = 1/2
Rate 2: 30/15 = 2/1
These rates tell us how much of one quantity is associated with a given amount of the other quantity. For instance, Rate 1 tells us that for every 2 units of y, we have 1 unit of x. Similarly, Rate 2 tells us that for every 1 unit of x, we have 2 units of y.
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Let s be the annual sales (in millions) for a particular electronic item. the value of s is 55.3 for 2008. what does s = 55.3 mean in this situation?
s = 55.3 in this situation means the annual sales that can be written in millions like 55.3 million sales in 2008.
Mean:
Mean is the fraction of the sum of the observed data by the total number of sample data.
That is,
Mean = Sum of all observations / number of observations
Given,
Let s be the annual sales (in millions) for a particular electronic item.
The value of s is 55.3 for 2008.
Here we need to find what does s = 55.3 mean in this situation.
According to the question,
s represents the annual sales (in millions) for a particular electronic item.
So,
s = 55.3
means the the annual sales (in millions) for a particular electronic item.
Like 55.3 millions of particular electronic item sold in 2008.
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