Two travelers riding camels are lost in the desert, so they split up to try to find help. One traveler goes east, while the other goes north. The traveler going east goes 7 miles per hour faster than the traveler going north, and after 3 hours, they are 39 miles apart. How fast are the travelers going? Show your work.
Answers
Answer:
which one is a factor that effects temperature between Tanzania and Netherlands ?
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A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answers
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answers
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
How do i find the area of a semicircle
Answers
Hope this helped! Please like and mark brainliest!
If someone has a dog, what is the probability that they also have a cat?
1/6
5/7
5/12
1/3
Answers
Answer:
5/12
Step-by-step explanation:
We are only looking at people who have a dog, which is 12
Now we need to determine if they have a cat
P( cat given that they have a dog)
= number of people with a cat/ they have a dog
= 5/ (5+7)
= 5/12
Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x=4y-9
x+4y=3
Answers
Answer:
(- 3, 1.5)
--------------------------
Given system:
x = 4y - 9x + 4y = 3The first expression is ready to be substituted as no further operation is required to simplify it.
4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5Find x:
x = 4*1.5 - 9x = 6 - 9x = - 3Suppose the owner of a local apple orchard has 4 half-bushels of apples to sell. He loads them on his truck, and drives his route, stopping at stores along the way attempting to sells the apples. Suppose:
- Each half-bushel is sold for $40.
- It will cost $15 of gas to drive the route.
Historically, the orchard owner knows he will have a 40% chance of making no sales, a 30% chance of selling 1 half-bushel, a 10% chance of selling 2 half-bushels, and a 10% chance of selling 3 half-bushels.
(a) Calculate the orchard owner’s expected profit from driving the route.
(b) Calculate the standard deviation of the profit from driving the route.
Answers
Answer:
a) The orchard owner's expected profit from driving the route is $33.
b) The standard deviation of the profit is $27.28
Step-by-step explanation:
a) Data and Calculations:
Apples to sell = 4 half-bushels
Price of each half-bushel sold = $40
Sales revenue = $160 ($40 *4)
Cost of driving the route = $15
Expected values:
Event Probability Revenue Profit Expected Profit
No Sales 40% $0 ($15) ($0 - $15) ($6.00)
Selling 1 half-bushel 30% $40 $25 ($40 - $15) $7.50
Selling 2 half-bushels 10% $80 $65 ($80 - $15) $6.50
Selling 3 half-bushels 10% $120 $105 ($120 - $15) $10.50
Selling 4 half-bushels 10% $160 $145 ($160 - $15) $14.50
Total expected profit = $33
Event Expected Profit Mean Squared
Difference
No Sales ($6.00) -39 1,521
Selling 1 half-bushel $7.50 -25.5 650.25
Selling 2 half-bushels $6.50 -26.5 702.25
Selling 3 half-bushels $10.50 -22.50 506.25
Selling 4 half-bushels $14.50 -18.50 342.25
Sum of squared differences 3,722
Mean of squared differences = 744.4 (3,722/5)
Standard deviation = square root of the mean
= 27.28
= $27.28
Solve the following:
a) 2(5x - 3) = 24
Answers
Answer:
x=3
Step-by-step explanation:
\(2(5x - 3) = 24\\\\10x-6=24\\\\10x=24+6\\\\10x=30\\\\x=30/10\\\\x=3\)
Answer:
open the bracket by multiplying everything in the bracket by2
then you get
2×5x-2×-3=24
10x-6=24
10x=24+6
10x=30
x=3
If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
Answers
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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Find the solution of the system of equations
shown on the graph.
Answers
Answer:
Answer:(0,3)Step-by-step explanation:The solution in a set of graphs is where they intersect. In this graph, they intersect at (0,3)
Write a polynomial fx that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient.
Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-32i and 0 (multiplicity 4).
f(x)=________
Answers
Answer:
Step-by-step explanation:
Find the question attached.
Given the zero of the polynomial 5+3i and 0, this means that (x-0) and (x-(5+3i)) are factors
Multiplying the factors together we have;
= x((x-(5+3i))
= x(x-5-3i)
= x²-5x-3xi
Hence the polynomial expression of the zeros is x²-5x-3xi
The rate constant for first-order degradation of a N2O2 in a solution (1.0 mg/ml) at 40°C
is 0.00351 hr-1, activation energy is 2000 cal/mol, and R = 1.987 cal/mol/degree.
Calculate
a. The rate constant for first-order degradation of N2O2 at room temperature (25°C).
Answers
The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;
a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹
What is a first-order reaction?A first order reaction is one that has a rate that varies linearly with the concentration of one reactant
The given parameters are;
Temperature of the solution = 40°C
T₁ = 40 °C + 273.15 = 313.15 K
The rate constant, K₁ = 0.00351 hr⁻¹
Concentration of the solution = 1.0 mg/ml
Activation energy, Eₐ = 2000 Cal/mol
R = 1.987 cal/mol/degree
The formula by which the rate constant can be found is presented as follows;
\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)
a. Room temperature = 25 °C
T₂ = 25 °C + 273.15 = 298.15 K
Therefore;
\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)
\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)
The rate constant for first-order degradation of N₂O₂ at room temperature is k₂ ≈ 4.12595 × 10⁻² hr⁻¹Learn more about the rate constant for first-order degradation here:
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Can someone help me with this problem ?
Answers
The answer is 83. 83+5=88. just subtract it.
Answer:
83
Step-by-step explanation:
You would subtract 5 from 88 to get Anjali's current age which is 83.
Solve each system of equations of equations.
x + y = -6
2x - y = 3
Answers
Answer:
x = -1, y = -5
Step-by-step explanation:
x + y = -6
2x - y = 3
Add the two equations together to eliminate y
x + y = -6
2x - y = 3
------------------
3x = -3
Divide by 3
3x/3 = -3/3
x = -1
Now find y
x+y = -6
-1+y = -6
Add 1 to each side
-1+1 +y = -6+1
y = -5
what is the value of \( 9 {}^{6} \times {9}^{4} \\ {9}^{12} \)
Answers
We will investigate how to simplify fractions involving powers of similar bases.
The following fraction is given for simplification:
\(\frac{9^6\cdot9^4}{9^{12}}\)When we have fraction with numerator and denominator have similar digits as basis; however, different powers we apply power rules of multiplication and division as follows:
\(\begin{gathered} \text{Multiplication: x}^a\cdot x^b=x^{a+b} \\ \\ Division\text{: }\frac{x^a}{x^b}=x^{a-b} \end{gathered}\)Using the above rules we will simplify the given expression. We will keep in mind the order of priority for mathematical opperations i.e ( PEMDAS ).
We will first multiply out the result in the numerator using the multiplication power rule as follows:
\(\begin{gathered} \frac{9^{6+4}}{9^{12}} \\ \\ \frac{9^{10}}{9^{12}} \end{gathered}\)Then we will apply the division power rule to the above resulting expression and simplify further as follows:
\(\begin{gathered} \frac{9^{10}}{9^{12}\text{ }}=9^{10-12} \\ \\ 9^{-2}\text{ } \end{gathered}\)Then we will apply the negative exponent power rule. Where any negative exponent can be converted to positive exponent by reciprocating the base as follows:
\(\text{Negative Exponent Rule: x}^{-a}\text{ = }\frac{1}{x^a}\)Apply the above rule:
\(\begin{gathered} 9^{-2}\text{ = }\frac{1}{9^2} \\ \\ \frac{1}{81}\ldots\text{ Answer} \end{gathered}\)Will the product be less than or greater than the first
factor?
5/6 x 15
Answers
Answer: more than :)
Step-by-step explanation:
Answer:
The product will be greater than the first factor
simplify the given expression 7+ 8a/5b
Answers
Answer:
= \(\frac{35b + 8a}{5b}\)
Step-by-step explanation:
Convert element to fraction:
= 7*5b/5b + 8a/5b
Combine the fractions (Equal denominators):
= 7*5b+8a/5b
Multiply the numbers (7*5):
= 35b + 8a / 5b
Find the value of x.
[p. 153]
A. x = 5
B. x = 10
C. x = 20
D. x = 40
![Find the value of x.[p. 153] A. x = 5 B. x = 10 C. x = 20 D. x = 40](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/ljnCUWCARrhMzwZALMi25liIoh7cNhb5.png)
Answers
Answer:
your answer will be C.x=20
Step-by-step explanation:
bye have a wonderful day/night ^_^
Cakculate the Length of line x
Answers
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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In a standard deck of cards (NOT including jokers), there are:
4 suits (diamonds, hearts, clubs, spades)
13 number and face cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King)
2 colors (red, black)
Face cards are Jack, Queen, King
a) What is the probability of drawing a red or black card?
b) What is the probability of drawing a 7 of spades?
c) What is the probability of NOT drawing a Diamond?
d) What is the probability of drawing a black 2?
Answers
hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((
Please explain how to solve this
Answers
The solution to the variables are x = 7 and y = 4
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
Shape = Triangle
The marks on the triangles imply that
The visibly smaller triangle is an equilateral triangleThe other triangle is an isosceles triangleSo, we have the following representation
3x - 5 = 5y - 4
3x - 5 = y + 12
Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4
y + 12 = 5y - 4
Evaluate the like terms
4y = 16
So, we have
y = 4
Substitute y = 4 in 3x - 5 = y + 12
3x - 5 = 4 + 12
So, we have
3x = 21
This gives
x = 7
Hence, the values are x = 7 and y = 4
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market price of a dress is 1500 rupees shop owner give a discount of 20% find the discount and the bill amount paid
Answers
Step-by-step explanation:
Marked price (mp) =rs 1500
discount (d) = 20%
discount amount = d% of mp
=20/100 *1500
= Rs. 300
bill amount paid = mp -d
= 1500 - 300
= Rs. 1200
Find 25.5% of 237. Round to the nearest tenth.
Answers
Answer: 25.5% of 237 rounded to the nearest tenth is 60.4
, Hope this helps :)
Have a great day!!
What are the x intercepts of the graph?
A. (5, 0)
B. (0, 0)
C. ( -3, 0) and ( 3, 0)
D. ( 0, 3) and ( 0, -3)
Answers
Answer:
B) (0,0)
Step-by-step explanation:
The only place the line even touches the x line is at (0,0)
Which is a possible translation of x Greater-than-or-equal-to 5? A number is less than or equal to 5. A number is at least 5. A number is no more than 5. A number is more than 5.
WHO EVER ANSWERS WILL GET 100 POINTS
Answers
Answer:
b
Step-by-step explanation:
Steve says to find the difference in temperature between 7 AM and
12 PM Wednesday, he can use a number line. He says because one
temperature is negative and the other is positive, he can add together their
distances from 0.
Kelly says that she can find the change by subtracting -5.1 from the temperature
at 12 PM on Wednesday.
Who is correct? Use the drop-down menus to explain your reasoning and find the
change in temperature.
and the distance from 0 to the Wednesday 12 PM temperature is 2.5
Answers
Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.
By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.
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help pls!!!!! due today!
Answers
The set of ordered pairs that represents a linear relation is the second set of numbers starting from (15, 2988.5) (21, 2670.5), (27, 2325.5), (33, 2034.5).
What set represents a linear relationship?The set of ordered pairs that represent a linear relationship is the above and the reason for this is that the number is increasing at a constant rate.
In the first sequence of numbers, there is an increment of 6 and in the second set of numbers, the numbers increase by 318. Thus we can say that the second values represent a linear relationship.
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If the diameter is 2 inches in the height is 15 inches what is the volume|PLEASE HElp
Answers
Answer:
Wanna ask Is it a cylinder?
...........
Figure 1 has vertices (-3, 4), (-1, 3), (-3, 1), and (-5, 2). Rotate it 180° to form Figure 2.
Give the coordinates for the vertices of Figure 2.
Answers
5x + 9 = 10x - 9
How do I solve this?
Answers
Take 5x from both sides
9 = 5x-9
Add 9 to both sides
18 = 5x
Divide by 5
3.6=x
Step-by-step explanation:
10x-5x=9+9 (switching sides, x at one side and number at other side)
5x=18 (calculate)
x=18/5 (division by 5 on both sides)
hope this will help you ❤️
The number of degrees in the
sum of the interior
angles of a polygon with 5 sides
90
540
900
360
Answers
Answer:
540 degrees
Step-by-step explanation:
Triangles ( 3 sides )
180 degrees
Squares ( 4 sides )
360 degrees
Pentagon ( 5 sides)
540 degrees
Hexagon ( 6 sides )
720 degrees
Any Polygon can be calculated using this formula:
n = number of sides
(n - 2) * 180 degrees
*Note, this is only for the sum of the interior angles. Exterior angles on polygons are ALWAYS equal to 360 degrees.