The reciprocal of the given decimal number -0.07 is decimal number -14.3.
The given decimal number is -0.07.
The reciprocal of any quantity is, one divided by that quantity. For any number ‘a’, the reciprocal will be [tex]\frac{1}{a}[/tex]. If the given number is multiplied by its reciprocal, we get the value 1.
The given decimal written in fraction as [tex]-\frac{7}{100}[/tex].
Reciprocal of [tex]-\frac{7}{100}[/tex] is [tex]-\frac{100}{7}[/tex]
[tex]-\frac{100}{7}=-14.285[/tex]
[tex]\approx-14.3[/tex]
Therefore, the reciprocal of the given decimal number -0.07 is decimal number -14.3.
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Final answer:
The reciprocal of -0.07, when rounded to one decimal place, is -14.3.
Explanation:
To calculate the reciprocal of any number, you simply divide 1 by that number.
The reciprocal of a number is the multiplicative inverse of that number.
In this case, for the number -0.07:
The reciprocal of -0.07 is calculated as follows:
Divide 1 by -0.07:
1/-0.07
= -100/7
= - 14.2857 which equals approximately -14.2857.
To round the result to one decimal place, we consider the first decimal digit after the point, which is 2. Since 2 is less than 5, we don't round up the preceding digit.
Round this number to one decimal place, giving us -14.3.
Therefore, the reciprocal of -0.07, correct to one decimal place, is -14.3.
x=y-4 and 2x+4y=10 help me
Answer:
Step-by-step explanation:
1. x = y-4
0 = y - 4 -x
4 = y - x
2. 2x+4y = 10
x+4y = 5
x+y = 5/4
David has a monthly net income of $1,360. His fixed monthly expenses consist of a rent payment of $450. He is paying off a student loan of
$116 per month
David would like to buy a new television set using a credit card. What is the largest montly payment David can afford for the television set so
that his credit card payments and stuent loan keep him within a safe debt load?
The largest monthly payment David can afford for the television set is $794.
Explanation:To determine the largest monthly payment David can afford for the television set, we need to calculate his monthly expenses and subtract them from his net income. David's fixed monthly expenses consist of a rent payment of $450 and a student loan payment of $116. Therefore, his total monthly fixed expenses are $450 + $116 = $566.
We can subtract David's total monthly fixed expenses from his net income: $1,360 - $566 = $794. This is the maximum amount David can afford to allocate towards credit card payments and still stay within a safe debt load.
So, the largest monthly payment David can afford for the television set is $794.
Some people were asked for their favorite numbers.
People's favorite numbers between 1 and 5
X
X
X
X
X
HHHHH
1 2 3 4 5
Favorite number
What is the mean of the numbers?
Answer:
3 is the mean.Step-by-step explanation:
To find the mean you need to add up all of the given numbers (order does not matter) then divide by that many numbers.
Add all 5 numbers then divide by 5.
1 + 2 + 3 + 4 + 5 = 15
15 / 5 = 3
I hope this helped!
Answer:
3 is mean
Step-by-step explanation:
What is the solution to the equation 4x-6= 10x-3?
Answer:
To solve this equation we need to get x by itself.
4x-6=10x-3, (the first step would be adding 6 to both sides.)
4x=10x+3 (the next step is the subtract ten from both sides.)
-6x=3 (Last step is the divide both sides by -6.)
x=-1/2
Hope this helps ;)
The volume of a sphere with a radius of 5 (in terms of pi) is ?
Answer:
523.6
Volume of Sphere is V=4 /3πr3
Tickets to a spring concert are $5.00 for students and $8.00 for adults. 250 tickets to the concert were sold for a total of $1550. How many tickets adult tickets and how many student tickets were sold?
Answer:
100 adult tickets
150 students tickets
Step-by-step explanation:
First, construct an equation that relates the tickets.
For the first equation, 5x represents $5 per ticket for students and 8y represents $8 per ticket for adult, showing the money earned.
For the second equation, x represents student tickets and y represents adult tickets, showing the tickets sold.
[tex]5x+8y=1550\\x+y=250\\[/tex]
Then, you have to cancel out similar factors. I will multiply the second equation by -5 because that is the easiest option for this specific case.
[tex]-5(x+y=250)\\-5x-5y=-1250\\5x+8y=1550\\3y=300\\y=100[/tex]
We have solved for y, which is how many adult tickets were sold. To solve for student tickets, we will solve the second equation.
[tex]x+y=250\\x+100=250\\x=150[/tex]
As a result we have 100 adult tickets and 150 student tickets.
Hope this helps!! <3
The graph of which function is decreasing over the interval (–4, ∞)?
Step-by-step explanation:
ok, logic
all of them are parabolas
1st and 3rd are opening up, so they defenitely increase, so no
decraseing
the vertex hs to be be at x=-4
y=a(x-h)^2+k
h has to be -4
y=a(x+4)^2+k
the answer is 2nd one or f(x)=-(x+4)^2+4
Answer:
B
Step-by-step explanation:
By how many factors of 10 did you multiply 0.008? Why?
Answer: 3
Step-by-step explanation:
Move the decimal back to its point of origin
To multiply a number by a power of 10, you move the decimal point to the right by the number of zeros in the power of 10.
Explanation:When multiplying a number by a power of 10, you can count the number of zeros in the power of 10 and move the decimal point that same number of places to the right.
In the case of multiplying 0.008 by 10, the power of 10 is 1, so you would move the decimal point one place to the right, resulting in 0.08.
Therefore, you multiply 0.008 by 10 to get 0.08.
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0.8342 as a fraction?
Answer:
4171/5000
Step-by-step explanation:
When diving 4171 by 5000, you get the answer of 0.8342. If you are using a calculator, you can use a button that allows you to convert decimals to fractions and vice versa.
The decimal number 0.8342 as a fraction in the simplest form is 4171/5000.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given decimal number into a fraction as follows;
0.8342 = 8342/10000
By dividing both the numerator and denominator by 2, we have the following
8342/10000 = 4171/5000
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A system of linear equations graphs as parallel lines. The system has how many solutions?
Answer:
None
Step-by-step explanation:
Parallel lines never intercept, giving no solution points
Can y’all help me please
Answer: 3 equal sides a 3 vertices
Step-by-step explanation:
What is the area of of this tile 6 in and 2 in
Answer:
12 inches squared
Step-by-step explanation:
If it is 6 inches by 2 inches, then you multiply 6 by 2 to get 12 inches squared.
Answer:
12 inches squared
Step-by-step explanation:
6 x 2 = 12
Because it's area, you need to make sure that the units are squared.
A certain machine is to contain two wheels, one of radius 2 inches and one of radius 8 inches. The manufacturer of this machine needs to produce a belt that will fit snugly around the two wheels, as shown in the diagram below. How long should the belt be?
Answer:
See Below
Step-by-step explanation:
The length of the belt is the length around 2 inch radius wheel PLUS length around 8 inch radius wheel.
The length around a circular region is its circumference. The formula is:
[tex]C=2 \pi r[/tex]
Where
C is circumference
r is the radius
We sum up both, given first one radius is 2 and second one radius is 8, so we have:
[tex]2\pi r + 2 \pi r \\=2 \pi (2) + 2 \pi (8)\\=4\pi + 16 \pi\\= 20 \pi\\=62.83[/tex]
The length of the belt should be around 62.83 inches
Find the distance between (2, 3) and (–4, 4). If necessary, round to the nearest tenth.
Answer:
√37
Step-by-step explanation:
Calculate the angle of LOM
Answer:
The angle measurement is 68 degrees
Step-by-step explanation:
The line NL is a straight line, so the angle is 180
NOM and LOM add up to the straight line
Then, subtract 112 from 180 to get 68 degrees as the answer
Answer:
68°
Step-by-step explanation:
1.) 112 + x = 180
2,) subtract 112 to both sides
112 + x = 180
-112 = - 112
x = 68
What will be the total area of the garden and the walkway?
A. 504 ft^2
B. 594 ft^2
C. 638 ft^2
D. 648 ft^2
E. 696 ft^2
each side of a square plastic tarp is 9 meters long. what is the tarps perimeter
Answer:
36
Step-by-step explanation:
9 times 4
The perimeter of a square is calculated by 4 times the length of one side. For a square plastic tarp with each side being 9 meters, the perimeter would be 36 meters.
Explanation:The perimeter of a square can be calculated by using the formula: 4 x side length. In this case, the length of the side of the tarp is 9 meters. Therefore, to find the perimeter, you would multiply 4 (the number of sides in a square) by 9 (the lengths of one side). That calculation would look like this: 4 x 9 = 36 meters. So, the perimeter of the square plastic tarp is 36 meters.
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Have a Sibling Only Child
Have Chores 7 9
Do Not Have Chores 8 6
The table represents the results of a class survey. What is the relative frequency that someone will have chores, given that they have a sibling?
A) 0.21
B) 0.44
C) 0.47
D) 0.53
Answer: 0.47
Step-by-step explanation:
Answer:
C) 0.47
Step-by-step explanation:
A coat is marked down 40% off the original price. If the
original price was S115.00, what is the sale price of the
coat before sales tax?
Answer:
$69.00
Step-by-step explanation:
Hi there,
In order to solve this problem, I used this formula:
Dollar Markdown = (markdown %)(original price)
You will end up with Markdown = (0.4) (115).
(Be sure to convert the percentage to a decimal value. (ex. 40% = 0.4))
After multiplying, we find that 46 dollars is 40% of the original price.
For the final step, simply subtract the original price by the amount marked down to get $69.00.
Hope this was useful. Cheers.
Please help me with this
Answer:
a b c and e
Step-by-step explanation:
Answer:
The fist one
Step-by-step explanation:
Find the value of x and y in the diagram below 9 30 degrees
Answer:
not enough information.
Step-by-step explanation:
Answer: D!!
Step-by-step explanation:
how do you solve this?
Answer:
Step-by-step explanation:
Which is the angle of rotational symmetry for the isosceles trapezoid?
Angle of rotational symmetry for the isosceles trapezoid is 180 degrees .
Given, rotational symmetry for isosceles trapezoid .
The trapezium, also known as the trapezoid is a plane figure with four sides, two of which are of equal length.
If the other two sides are also of same length then the figure is said to be isosceles trapezoid .
There is no symmetry in a trapezoid unless it is an isosceles trapezoid. In that case it has one axis of symmetry that cuts the two bases in half. An 180 degree rotation about this axis produces the same figure. There are no other lines of symmetry.
Know more about isosceles trapezoid,
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27x+3=6
Whats is x in that problem
Answer:
x=1/3
Step-by-step explanation:
You have to isolate the variable, so you must first separate the constants from the variable. Add 3 on both sides to cancel out the minus three and to move it to the other side. Now you have 27x=9. It's pretty simple from there just use your calculator and divide 27x/27 and also 9/27. That leaves you with 1/3
To solve for x in the equation 27x+3=6, we subtract 3 from both sides, divide both sides by 27, and get the solution x = 1/9.
Explanation:To solve for x in the equation 27x+3=6, we'll start by isolating the variable x. First, subtract 3 from both sides of the equation to get 27x = 3. Then, divide both sides by 27 to find the value of x.
Subtract 3 from both sides: 27x + 3 - 3 = 6 - 3Simplify: 27x = 3Divide both sides by 27: x = 3 / 27Simplify the fraction: x = 1/9Therefore, the solution to the equation is x = 1/9.
Find the range of each set of data.
Answer:
set 1 =11 set 2 =208 Set 2 has the wider spread since the range is bigger
Step-by-step explanation:
range- find the largest number and subtract the smallest number from it
Set 1: 12-1 =11
Set 2: 230-22 =208
What is the median of this set of numbers?
3, 6, 1, 10, 6, 2, 2, 5
A
5
B
3
C
2
D
4
Answer:
d. 4
Step-by-step explanation:
Arranging in ascending order
1 , 2 , 2 , 3 , 5 , 6 , 6 , 10
No of data (N) = 8
Position of median
= (N+ 1) / 2 th item
= (8 + 1) / 2 th item
= 9 / 2 th item
= 4.5 th item
Exact median
= (5 + 3 )/2
= 8/2
= 4
A savings account with an initial deposit of $10,000 has an annual interest rate of 3.2%. The interest on the account is compounded monthly. What is the
balance of the account, to the nearest cent, after 6 years?
Answer:
account balance will be $12113.9 and the interest is $2113.9.
ne
Which set of line segments could create a right triangle? (4)
24,30.35
12. 18.30
18. 24.30
18. 24.35
Answer:
Hi There the correct answer 18. 24.30
Step-by-step explanation:
because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.
Day 1 2 3 4 5
Temperature (°F) 70 72 68 75 70
The temperature for 5 days is shown in the table. If on the 6th day the temperature was 83°, by how much will this increase the overall median temperature?
A) 1°.
B) 2°.
C) 3°.
D) 4°.
Answer:
the answer is b 2
Step-by-step explanation:
Final answer:
Adding a sixth temperature of 83°F to the original data set increases the median temperature from 70°F to 71°F, which is an increase of 1°F. Thus, option A is correct.
Explanation:
The question is asking how much the addition of a sixth day's temperature of 83°F will increase the overall median temperature of the previously recorded five days.
First, we need to arrange the temperatures of the first five days in ascending order: 68°, 70°, 70°, 72°, and 75°. The median of these five numbers is 70°F, which is the middle value.
When we add a sixth temperature of 83°F, the new set of temperatures will be 68°, 70°, 70°, 72°, 75°, and 83°.
With an even number of data points, the median is the average of the two middle numbers which are now 70° and 72°F. The average of 70°F and 72°F is 71°F.
Thus, the new median is 71°F, which is a 1°F increase from the original median of 70°F.
Therefore, the correct answer is A) 1°.
Find all values of x in 17/x-12/x-12/(x-1)2
Answer:
Step-by-step explanation:
To solve
17/x-12/x-12/2(x-1)
5/x-12/2x-2
The LCM of x and 2x-2 is x and 2x-2
5(2x-2)-12x/x(2x-2)
10x-10-12x/x(2x-2)
To collect like in numerator
-2x-10/x(2x-2)