The number of pounds that she received in exchange for $500 cash will be 299.40 pounds.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Angela lives in the United States. She went on a trip, flying first to London, then to Paris, then back to the United States. Assume that currency rates remained constant during her trip. If the currency rate was $1.67 per English pound.
The dollar is directly proportional to the pound.
Let p be the number of the pound.
p / 500 = 1 / 1.67
p = 500 / 1.67
p = 299.40 pounds.
The number of pounds that she received in exchange for $500 cash will be 299.40 pounds.
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Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how many times farther from the sun is neptune than mercury? enter your answer in scientific notation. if necessary, round your multiplier to the nearest ten-thousandth.
Neptune's distance from the Sun is about 78 times farther than that of Mercury. This result is computed by dividing Neptune's average distance from the Sun by Mercury's average distance from the Sun.
Explanation:The subject here is to determine how many times Neptune is farther from the Sun than Mercury. We have the average distance from the Sun to Neptune as 4.503 × 109 km and the average distance from the Sun to Mercury as 5.791 × 107 km. To find out how many times Neptune is farther from the Sun than Mercury, we divide the distance of Neptune by the distance of Mercury: (4.503/5.791) x 109-7 which equates to 0.77782 times 102 or 7.7782 × 101. Therefore, Neptune is approximately 78 (7.8 × 101 when rounded to the nearest ten-thousandths) times farther from the Sun than Mercury.
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Which of these is equal to the value of 9-(-5)?
What's 17= z- (-9) days
The calculated value of z in the equation 17 = z - (-9) is 8
How to determine the value of z in the equation
From the question, we have the following parameters that can be used in our computation:
17 = z - (-9)
When the bracket is evaluated, we have
17 = z + 9
So, we have
z = 17 - 9
Evaluate
z = 8
Hence, the value of z in the equation is 8
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
The solution of the system of equations is (3, 2)
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given is a system of equations,
x + 2y = 7......(i)
x - 2y = -1
x = 2y - 1.....(ii)
Put eq(ii) in eq(i)
2y-1+2y = 7
4y = 8
y = 2
Put y = 2 in eq (ii)
x = 2(2)-1
x = 4-1 = 3
Hence, the solution of the system of equations is (3, 2)
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The sum of three consecutive even integers is 50 more than the larger integer. What are the integers? Plz show work and answer ASAP.
Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? Q(6,3)
Exactly four angles of a hexagon are congruent. the other two angles are complementary. what is the measure of one of the four congruent angles?
Which property is NOT used when solving 15=2x-1
The associative property is not used when solving the given equation.
Explanation:The property that is NOT used when solving the equation 15=2x-1 is the associative property.
The associative property states that the grouping of numbers does not affect the result of addition or multiplication. However, in this equation, there is no need to group the numbers in a different way.
Thus, the answer to the equation is:
15 = 2x - 1
Solving for x:
15 + 1 = 2x
16 = 2x
Divide both sides by 2:
16/2 = x
8 = x
A computer cost 1389.93 including tax if the tax rate is 7% find the price of the computer before taxes
Answer:
Cost of the computer before taxes is $1299.
Step-by-step explanation:
Let the price of the computer before taxes is = $x
Tax rate on this computer = 7%
Therefore, computer cost including tax = (x + 7% of x)
= [tex]x+\frac{7x}{100}[/tex]
= x + 0.07x
= $(1.07x)
Cost of the computer including tax is given as $1389.93.
Therefore, 1389.93 = 1.07x
x = [tex]\frac{1389.93}{1.07}[/tex]
= $1299
Cost of the computer before taxes is $1299.
HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is it not necessary to find the measurement of the third angle and show that it is also congruent to the corresponding third angle of a similar triangle?
jenna is writing a check to her vehicle registration office for $100.42. how should she spell out this amount in the "written amount" section on her check
25900.1000 in scientific notation
259001 x 10^4 is the answer
3. company pays a greater annual salary? Show your Company A offers a semimonthly salary of $2432, and Company B offers a biweekly salary of $2390. Which work.
Carletta and Johnathan are entrepreneurs making mother boards for computers that are being manufactured by their friend, Dewey Sasser. Carletta can make one mother board in 12 hours while it takes Johnathan 16 hours to make one mother board. Dewey suggested they could produce mother boards faster if they combined forces and worked together to build each mother board. What will be the time, in hours, that Carletta and Johnathan can build a mother board when working together? (Round your answer to the nearest hour.)
convert 170 kg/m^3 to g/cm^3.
Which value is equivalent to ?
Ben drinks tea at an incredible rate. He drinks 3.5 loiters of tea every 2/3 of an hour. How many of liters of tea does he drink in one hour?
Transformations of polynomial functions
The requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The transformation from g(x) = x² - 2 to g(x) = (x + 4)² involves a horizontal translation of 4 units to the left. This means that the vertex of the parabola has shifted 4 units to the left from its original position. Additionally, there is no vertical translation (i.e., the value of "a" remains the same), and the shape of the parabola remains the same. Therefore, the transformation is a horizontal translation.
Thus, the requried transformation of g(x) is 4 units right and 2 units up on the coordinate plane.
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Which statement is true about this argument?
Premises: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then the sum of their measures is 180°.
Conclusion: If two angles form a linear pair, then the sum of their measures is 180°.
The argument 'If two angles form a linear pair, then the sum of their measures is 180°' is valid. This conclusion is logically drawn from the premises stating that a linear pair of angles are supplementary, and that supplementary angles have a sum of 180°.
Explanation:The statement 'If two angles form a linear pair, then the sum of their measures is 180°' is indeed true based on the provided premises. Here's why:
If two angles form a linear pair, according to the first premise, they are supplementary.Supplementary angles are those where the sum of their measures is 180°, as stated in the second premise.Therefore, if two angles form a linear pair (making them supplementary), then the sum of their measures is indeed 180°, which is the conclusion given.So, the argument is valid and the conclusion is correctly drawn from the premises.
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On the first play, the football team lost 6 yards. On the second play, the team lost 5yards. What was their total change in yards?
Evaluate A2 for A = -3.
Answer: The required value of A² is 9.
Step-by-step explanation: We are given the following value of a variable A :
[tex]A=-3.[/tex]
We are to find the value of [tex]A^2.[/tex]
To evaluate [tex]A^2,[/tex] we need to multiply A and A.
Therefore, the evaluation is as follows :
[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]
Thus, the required value of A² is 9.
Could someone explain to me how to do the one that says “Determine if each pair of the equation are parallel, ect?
Mrs. thompson receives $596.65 from her company each month. how much does mrs. thompson receive from her company in 12 months? enter your answer in the box.
Answer:
the correct answer is $17159.80Please help! I am confused
a dwarf sea horse swims at a rate of 54.68 feet per hour. convert this speed to inches per minute. the speed is ____ inches per minute.
martin and natalie would be the same age if martin were two years older and natalie were three years younger. the sum of their ages is twenty-nine years old. how old is each?
Show your work.
Find the area of a circle with a radius of 8 inches.the formula for the area of a circle is a=πr2. use 3.14 for π
Answer:
200.96 square inches
Step-by-step explanation:
I took a quiz with this question and I got an A
Find the midpoint of modifying above AB.
(4.5, 4.5)
(1.5, 1.5)
(3, 3)
(2, 2)
Answer: Im guessing B. (1.5, 1.5)
Once I enter my test ill come back and edit.
Its correct! good luck on your test! :)
if x=6 can the <'s be supplementary
I completely messed up and need help...
what would 6x-4=10 be?