Answer:
-3999944
Step-by-step explanation:
Dale travels from city A to city B to city C and back to city A. Each city is exactly 120 miles from the other two. His average rate from city A to city B is 60 mph. His average rate from city B to city C is 40 mph. His average rate from city C to city A is 24 mph. What is Dale's average rate for the entire trip, in miles per hour?
Answer:
[tex]average\ speed = 36\ mi/hr[/tex]
Step-by-step explanation:
Given:
Each city is exactly 120 miles from the other two.
Average rate from city A to city B = 60 mi/hr
Average rate from city B to city C = 40 mi/hr
Average rate from city c to city A = 24 mi/hr
We need to find the Dale's average rate for the entire trip.
Solution:
First we find the total time and total distance by following way.
Time taken to travel from A to B = [tex]\frac{Distance}{Speed} = \frac{120}{60}= 2\ hr[/tex]
Time taken to travel from B to C = [tex]\frac{Distance}{Speed} = \frac{120}{40}= 3\ hr[/tex]
Time taken to travel from C to A = [tex]\frac{Distance}{Speed} = \frac{120}{24}= 5\ hr[/tex]
So, total time taken = [tex]2+3+5=10\ hr[/tex]
Total distance = 120 + 120 + 120 = 360 miles
Using average speed formula.
[tex]average\ speed = \frac{Total\ distance}{Total\ time\ taken}[/tex]
[tex]average\ speed = \frac{360}{10}[/tex]
[tex]average\ speed = 36\ mi/hr[/tex]
Therefore, the average rate for the entire trip [tex]average\ speed = 36\ mi/hr[/tex]
The formula below is used to convert a temperature in degrees Celsius,C, to a
temperature in degrees Fahrenheit, F.
F= 1.8C + 32
on temperature in a mountain city was 15°C. What was the high temperature in
degrees Fahrenheit?
Answer:
is
47 degree fahrenheit
The high temperature in degrees Fahrenheit was [tex]\( 59^\circ \)[/tex] Fahrenheit.
To convert a temperature from Celsius to Fahrenheit using the formula F = 1.8C + 32, where F is the temperature in Fahrenheit and C is the temperature in Celsius, you simply plug in the value of C and solve for F.
Given that the high temperature in the mountain city was [tex]\( 15^\circ \)[/tex] Celsius, we can plug this value into the formula:
F = 1.8 * 15 + 32
F = 27 + 32
F = 59
So, the high temperature in degrees Fahrenheit was [tex]\( 59^\circ \)[/tex]Fahrenheit.
the cruise ship is traveling at a uniform speed. after 11 hours, the cruise ship will be____nautical miles from light house.
Hence, After 11 hours, the cruise ship will be 244.25 nautical miles from the lighthouse. Hence, At the start of the journey, the cruise ship was 10.5 nautical miles from the lighthouse.
Answer:
the answer is the ship is traveling at 21.25 MPH, started 10.5 miles from lighthouse and after 11 hours will be 244.25 miles from the lighthouse.
Step-by-step explanation:
Solve.
4x2 + 6 = 40
Round to the nearest hundredth.
Enter your answers in the boxes.
Do 4x^2 = 16x
16x+6 = 40
-6 -6
16x = 34
/16 /16
x=2.125
Rounded to the nearest hundredth is, 2.13
IF THIS IS HELPFUL PLS GIVE ME BRAINLIEST AND ANSWER MY MATH PROBLEM.
Answer:
-2.92 and 2.92
i took the test
Leila‘s coffee shop makes a blend that is a mixture of two types of coffee type a coffee cost Layla $4.85 per pound and type B coffee cost $5.90 per pound this month leather made it 142 pounds of the blend for the total cost of $781.10 how many pounds of type B coffee did she use
Answer:
Therefore she used (142-54)=88 pounds of type B coffee.
Step-by-step explanation:
Given, Leila's coffee shop makes a blend that is a mixture of two types of coffee.Type A coffee $4.85 per pound and type B coffee cost $5.90 per pound. She made 142 pounds of the blend for the total cost of $781.10.
The cost price of the blend per pound is = $(781.10÷142)
=$5.5
Let , the amount type A in the blend be x
Then the amount of type B in the blend is (142-x)
The cost price of x pound of type A coffee is = $(4.85×x) =$4.85x
The cost price of(142- x) pound of type B coffee is =$(142-x)×5.90
According to the problem,
4.85x+(142-x)×5.90 = 781.10
⇔4.85x +837.8-5.90x=781.10
⇔1.05x=56.7
⇔x=(56.7÷1.05)
⇔x=54
Therefore she used (142-54)=88 pounds of type B coffee.
A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function S(t) = 273(1.073)t , where the t represents the number of years since the study started. Based on the function, what is the growth rate?
A. 9.9
B. 10.4
C. 10.7
D. 11.2
Answer:
0.073
Step-by-step explanation:
The question is about growth function and you are asked to find out the growth rate. Growth function has a format of
y = a(1+r)^t
Where
y= future value = S(t)
a= current value = 273
r= growth rate
t= time =t
Since its a growing function, the r will be positive. If its decay function then the r will be negative. As you can see, the growth rate value is located inside the parentheses. The growth rate of the function should be:
(1+r)= (1.073)
r= 1.073- 1
r= 0.073
Solve the following equation: 3x^3+5x^2-4x-4=0
Answer:
1
Step-by-step explanation:
Simplifying
3x + 2(4x + -4) = 3
Reorder the terms:
3x + 2(-4 + 4x) = 3
3x + (-4 * 2 + 4x * 2) = 3
3x + (-8 + 8x) = 3
Reorder the terms:
-8 + 3x + 8x = 3
Combine like terms: 3x + 8x = 11x
-8 + 11x = 3
Solving
-8 + 11x = 3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 11x = 3 + 8
Combine like terms: -8 + 8 = 0
0 + 11x = 3 + 8
11x = 3 + 8
Combine like terms: 3 + 8 = 11
11x = 11
Divide each side by '11'.
x = 1
Simplifying
x = 1
HELP ME PLEASE :( <3 Which expression is equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√
The simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is 64 - 6√ * b - 283√ * c - 127√.
To simplify the expression 4147−−−√ a - 37√ . b - 283√ . c - 127√, we can first try to identify any common factors among the terms.
However, since each term involves a different square root, it's not possible to simplify the expression further using common factors.
To proceed, we can try to simplify each term individually. For instance, we can simplify 4147−−−√ by identifying that 4147 is a perfect square. Since 4147 = 64 * 64, we can rewrite the expression as:
4147−−−√ = √(64 * 64) = 64
Similarly, we can simplify 37√ . b by identifying that 37 is a perfect square. Since 37 = 6 * 6, we can rewrite the expression as:
37√ . b = √(6 * 6) * b = 6√ * b
Applying the same logic to the remaining terms, we get the simplified expression:
64 - 6√ * b - 283√ * c - 127√
Therefore, the simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is:
64 - 6√ * b - 283√ * c - 127√
Write a real world problem you could answer by solving the equation -8+60=28
"Mitchael owes $8 to his bank, so he decides to add $60 in April at a rate of $2 per day. How many days Mitchael needs in order to get $28 in his account?"
Explanation:Hello! Remember you have to write clear questions in order to get good and exact answers. The given equation doesn't make any sense so I'll assume the correct one is:
[tex]-8+60x=28[/tex]
So let's write a real world problem you could answer by solving the equation:
"Mitchael owes $8 to his bank, so he decides to add $60 in April at a rate of $2 per day. How many days Mitchael needs in order to get $28 in his account?"
So by isolating x (number of months):
[tex]x=\frac{28+8}{60} \\ \\ x=0.6 \ month \\ \\ \\ Since \ we \ need \ the \ number \ of \ days: \\ \\ April \ has \ 30 \ days, \ so: \\ \\ x-day=0.6\times 30=18 \ days[/tex]
So Mitchael would need 18 days in order to get $28 in his account
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To solve the equation -8+60=28, we follow basic arithmetic by adding the positive payment to the negative debt which gives us 52. This answer indicates an error in the original problem statement, as the expected balance does not match with the calculated one.
A real-world problem that could be answered by solving the equation -8+60=28 might involve a scenario where someone is tracking their financial transactions. Suppose you start with a debt of \(-8 dollars and then receive 60 dollars as a payment of some sort. The question could be to determine how much money you have after receiving the payment. To find out, you would solve the equation to see if your final balance is 28 dollars as expected.
Let's solve this step-by-step:
Add the amount received to the initial debt: \( -8 + 60 \).
Calculate the sum which gives us \( 52 \).
Therefore, after receiving the payment, you have 52 dollars.
To answer the original equation, the final balance should be 28 dollars; however, the solution we found is 52 dollars, indicating there might be a mistake in the original problem statement or the transactions recorded.
Terrance buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?
What is the answer to the question ?
Answer:
si amuigos hasta luego to es bien cien nueve
Step-by-step explanation:
Wh
at is 15,000:00 in ratio of 5:3
Answer:
9375 : 5625
Step-by-step explanation:
The total of the ratio units is 5+3=8, so each ratio unit stands for ...
15000/8 = 1875
Multiply each number of ratio units by this value to get your division:
5(1875) : 3(1875) = 9375 : 5625
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35
Answer:
Therefore the results from adding the equation in this system is
[tex]7x=-35[/tex]
Step-by-step explanation:
Given:
Equations as
[tex]11x-3y=-17[/tex] .......................1
[tex]-4x+3y=-18[/tex] .......................2
To Find :
Result when adding equation 1 and 2 = ?
Solution
On adding equation 1 and 2 the "3y" term will get cancel and the like terms will combine that is add (11x and -4x ) and ( -17 and - 18) as shown below
11x - 3y = -17
-4x + 3y = - 18
-------------------------------------------
7x + 0 = - 35
---------------------------------------------
Therefore the results from adding the equation in this system is
[tex]7x=-35[/tex]
Answer:
C
Step-by-step explanation:
did test
Jackson is building a double desk.The tops need to be 120 in long.Each board is 66 inches.How much will he need to cut if he buys 2 ?
He will need to cut altogether 12 inches to fit on the top if h buys 2 to adjust on the double desk.
Step-by-step explanation:
Jackson building a double desk requires 120 in long.When each board is 66 inches Therefore, if he buys 2 Boards, 2 x 66 = 132He needs to cut . subtracting 132 - 120 to adjust on the desk.132-120 = 12 if he cuts the board to adjust on each desk.The value of w is:
show work for brainlist
Step-by-step explanation:
By angle bisector property:
[tex] \frac{w}{30} = \frac{15}{18} \\ \\ \therefore \: w = \frac{15 \times 30}{18} \\ \\ \therefore \: w = \frac{15 \times 30}{6 \times 5} \\ \\ \therefore \: w = 3 \times 5\\ \\ \huge \orange{ \boxed{ \therefore \: w = 15}}[/tex]
Evaluate each expression 28-c3+6
Answer:
28-c3+6=0
Collect like terms
28-6=c3
22=c3
Divide both sides by 3
22/3=c3/3
C=7
To evaluate the expression 28-c3+6, you must know the value of 'c'. Assuming c3 means c cubed, then you would calculate 'c' cubed, subtract it from 28 and then add 6. Without a value for 'c', we cannot compute a definitive answer.
Explanation:To solve this mathematical expression, we must first understand what c3 means. In this case, 'c' and '3' are variables and without a given value for 'c' we cannot fully evaluate it. However, if we assume that 'c3' means 'c' cubed then, we can proceed with that understanding. Cubing a number means multiplying it by itself twice. For example, if c=2, then c cubed would be 2*2*2=8.
Next step is to follow the rules of the order of operations, often remembered by the acronym PEMDAS - Parentheses, Exponents, Multiplications and Divisions (from left to right), Additions and Subtractions (from left to right).
Therefore, given the expression 28-c3+6, you would first calculate 'c' cubed and then perform the remaining operations from left to right. If 'c' was 2, your expression would look like this: 28-8+6. Following PEMDAS, subtraction comes before addition, so you subtract 8 from 28 which is 20 and then add 6 to that, giving a result of 26. But remember, without knowing the true value of 'c', we cannot definitively solve the expression.
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In the figure, AE, BF, DG, and HC intersect at point H, and FHG is a right angle.
Somebody help, I don't get this!
Answer:
1. False
2. True
3. True
Step-by-step explanation:
1. ∠AHB and ∠AHG are vertical angle False
2.∠EHF and ∠DHE are adjacent angle True
3. The measure of ∠FHG is equal to the measure ∠DHF True
Translate "the product of z,x,and y into a mathematical expression
Answer:
Step-by-step explanation:
zxy or xyz or z×x×y
Final answer:
The mathematical expression for 'the product of z, x, and y' is simply 'zxy' or 'z times x times y', which indicates that the three variables are being multiplied together to form a product.
Explanation:
To translate "the product of z, x, and y" into a mathematical expression, we represent multiplication using either the multiplication sign (times) or simply by juxtaposition (placing the variables next to each other). Thus, the product of the variables z, x, and y is represented as z imes x imes y or simply as zxy. This expression shows that z, x, and y are being multiplied together to give a Mathematical Result.
In mathematics, when expressions are evaluated and produce the same value, they are known as equivalent expressions. For example, the expression (5 - 3xy) is evaluated by following the order of operations, which in this case involves subtracting the product of 3 and xy from 5. If x, y, and z are treated as three independent variables, it is also possible to represent their product in the form of a Multiple or Product, like so: xyz.
What is true about the solution of StartFraction x squared Over 2 x minus 6 EndFraction = StartFraction 9 Over 6 x minus 18 EndFraction?
x = plus-or-minus StartRoot 3 EndRoot, and they are actual solutions.
x = plus-or-minus StartRoot 3 EndRoot, but they are extraneous solutions.
x = 3, and it is an actual solution.
x = 3, but it is an extraneous solution.
Answer:
[tex]x=\pm\sqrt{3}[/tex] and they are actual solutions
Step-by-step explanation:
we have
[tex]\frac{x^2}{2x-6}=\frac{9}{6x-18}[/tex]
Factor the denominators both sides
[tex]\frac{x^2}{2(x-3)}=\frac{9}{6(x-3)}[/tex]
Simplify
[tex]\frac{x^2}{2}=\frac{9}{6}[/tex]
[tex]x^2=\frac{18}{6}[/tex]
[tex]x=\pm\sqrt{3}[/tex]
Verify
1) For [tex]x=\sqrt{3}[/tex]
[tex]\frac{\sqrt{3}^2}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}[/tex]
[tex]\frac{3}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}[/tex]
[tex]18=18[/tex] ---> is true
therefore
[tex]x=\sqrt{3}[/tex] ----> is an actual solution
2) For [tex]x=-\sqrt{3}[/tex]
[tex]\frac{-\sqrt{3}^2}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}[/tex]
[tex]\frac{3}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}[/tex]
[tex]18=18[/tex] ---> is true
therefore
[tex]x=-\sqrt{3}[/tex] ----> is an actual solution
therefore
Answer:
The answer is A!
Step-by-step explanation:
Jonathan has $44,200 in a saving account. The interest rate is 7% per year and is not compounded. How much interest will he earn in 3 years?
The interest that he gains after 3 years is $9282.
Step-by-step explanation:
Step 1: Given details are Principal amount (P) in bank = $44200, Interest rate, R = 7%, Time, T = 3 years. Since interest is not compounded, we have to calculate simple interest.Step 2: Formula for Simple Interest (SI) = PRT/100⇒ SI = (44200 × 7 × 3)/100
⇒ SI = 442 × 7 × 3
⇒ SI = $9282
Evaluate the expression below when x=9.5 and y=3. 12x - 3y exponent 2
solve 3+4n/n = 7b for n
To solve the equation 3 + 4n/n = 7b for n, you can cancel out the n in the numerator and denominator. Then, subtract 3 from both sides of the equation and divide by 7 to solve for b.
Explanation:To solve the equation 3 + 4n/n = 7b for n, we need to isolate n on one side of the equation. First, we can simplify the equation by canceling out the n in the numerator and denominator, as they are dividing each other. This leaves us with 3 + 4 = 7b. Next, we can subtract 3 from both sides of the equation to get 4 = 7b - 3. Finally, we can divide both sides of the equation by 7 to solve for b: 4/7 = b.
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{(-2, 6), (-5, -1), (3, 7), (-5, 0)}
Domain:
Range:
Function?
{(-2, 6), (-5, -1), (3, 7), (-5, 0)}
Domain: The domain is all the x-values (-2, -5, 3, -5)
Range: The range is all the y-values (6, -1, 7, 0)
Function: It's not a function because of the x-value -5 is repeating.
Answer:
Step-by-step explanation:
domain (ur x values) = [ -5,-2,3 ]...only write repeating values once
range (ur y values) = [ -1,0,6,7]
a function will not have any repeating x values....it can have repeating y values, just not the x ones...all x's have to be different
therefore, this is not a function because u have repeating x values of -5
adam sells medical magazine and books. the table shows price for both Magazine £8
books £15
each week Adam earns £ 200 basic pay 10% of the magazine price for each sold
15% of the books price for each sold
last week Adam sold 42 magazines and 14 books
work out the total amount Adam earned last week
Adam earned a total of £265.10 last week.
Step-by-step explanation:
Step 1; Adam earns a basic pay of £200 each week. He earns 10% of the magazine price for each sold and 15% of the book price for each sold. Each magazine costs £8 and each book costs £15. He sells 42 magazines and 14 books.
Money earned for selling a magazine = 10% × £8 = 0.10 × £8 = £0.80,
Money earned for selling a book = 15% × £15 = 0.15 × £15 = £2.25,
Money earned for selling 42 magazines = 42 × £0.80 = £33.60,
Money earned for selling 14 books = 14 × £2.25 = £31.50,
Money earned for selling 42 magazines and 14 books = £33.60 + £31.50 = £65.10.
Step 2; Now we have to calculate his last week's salary which is his weekly pay and his earnings from selling magazines and books. We found that he earned £31.50 from selling books and magazines. His weekly salary is £200.
Last week's salary = £200 + £65.10 = £265.10.
Answer: £265.10
Step-by-step explanation:
Adam gets £200 each week.
10% of 42 magazines
Magazines opcost £8
10% × £8 = 0.10 × £8 = £0.80
42 × £0.80 = £33.60
15% of 14 books
Each book cost £15
15% × £15 = 0.15 × £15 = £2.25,
14 × £2.25 = £31.50
Last Week's Salary:
£31.50 + £33.60 = £65.10
£200 + £65.10 = £265.10 (last weeks salary)
How do you find the percent increase from 120 to 144
Answer:
20%
Step-by-step explanation:
If 120 = 100%
144 = x
By cross multiplication,
120x = 144 * 100
120x = 14400
x = 14400/120
x = 120%
The percentage increase is 20%
HELP ME!!! I've been stuck!
Answer:
You have to fill the blank squares to complete the table.See the figure attached and the explantion below.Explanation:
The figure attached shows the three squares that you have to fill to complete the table to summarize the different theorems to prove triangles are congruent.
1. SAS
SAS stands for Side Angle Side. That means that whenever two sides and the included angle on one triangle are congruent to two sides and the included angle of another triangle, then those two triangles are congruent.
Thick marks are used to mark the corrsponding parts, sides or angles that are congruent. That is why the two triangles to the first triangles on the image (on the upper square to the right) are marked:
One thick straight mark for two sides that are congruentTwo thick straight marks for the other two sides that are congruentOn thick curved mark for the two angles that are congruentIn that way, the figures show two triangles, with two congruent sides and the included angle congruent, to prove that the two triangles are congruent by the SAS theorem.
2. ASA
ASA stands for Angle Side Angle.
The ASA congruency theorem states that if two angles of a triangle and the included side are congruent, then the two triangles are congruent.
Thus you have to add the legend "Two congruent angles with and included side", which means that if the two angles and the included side on one triangle are congruent to two angles and the included side of other triangles, then both triangles are congruent.
The rule to mark the sides and angles that are congruent is with the use of thick marks. This is how it was done in the drawing of the two triangles in the lower right square:
One thick straight mark for two sides that are congruentOne thick curved mark for two angles that are congruentTwo thick curved marks for the other two angles that are congruent9/11 times 7/10 simplified
max spends three times as long on his math homework than he does on his science homework
3m=s
Where m= math homework and s= science homework.
nannie
How do you solve s=5/6t
Answer:
if you want to solve for t: t = 6s / 5
if you want to solve for s: s = 5t / 6
Step-by-step explanation:
What is the remainder when x^6-4x^4+4x^2-10 is divided by x+3