Answer:
1/66
Step-by-step explanation:
0.0151515 can be converted to the fraction 5/333.
Repeating decimals can be converted to fractions by setting the repeating part as x and subtracting the non-repeating part.
For example, to convert 0.0151515 to a fraction, let x = 0.015 and y = 0.1515, then subtract them: x = 0.015, 1000x = 15, y = 0.1515, 10000y = 1515. Subtract both: 999y = 1500 - 15 = 1485.
Therefore, the fraction is 0.0151515 = 15/999 = 5/333.
the gcf of the two numbers 14 and 20 is
Answer:
2
Step-by-step explanation:
List the factors of both 14 and 20
14: 1,2,7,14
20:1,2,4,5,10,20
find the numbers in common
1 and 2
which one is greater?
1<2
2 is the gcf
Darren bought some paint. He used 2 1/4 gallons painting his living room. After that, he had 3 5/6 gallons left. How much paint did he buy?
Answer:
Step-by-step explanation:
Let's pretend this was just whole numbers. So used 2 gallons and had 3 left. Hopefully it's clear you'd have started with 5. It's basically an algebra equation. If we say x is the starting amount then
x-2 = 3
x = 5. Let me know if that doesn't make sense. Now though we can plug in the actual values.
x - 2 1/4 = 3 5/6
x = 2 1/4 + 3 5/6
x = 5 1/4 + 5/6
Now, to add fractions you need to change the denominator. You need to know you can change fractions by multiplying the numerator and denominator by a number. so 1/2 can be 2/4 because 1*2 = 2 and 2*2 = 4. So on you can make it 3/6, 4/8 and on and on and on. This is what we want to use.
We have 1/4 and 5/6. Well, you could try increasing both one by one until you get the same denominator, but a way to do it in one step is to multiply one by the other's denominator. so 1/4 = (1*6)/(4*6) = 6/24 and similarly 5/6 = (5*4)/(6*4) = 20/24. So now we are adding 6/24 + 20/24 = 26/24 or 1 2/24 = 1 1/12. ANyway, now you are adding
5 1/4 + 5/6 = 5 + 1 1/12 = 6 1/12. There is a different way to add fractions, but it's a little more involved and this way always works so that's what I use.
Answer: [tex]6\frac{1}{12}\ gallons[/tex]
Step-by-step explanation:
We can make the conversion from mixed numbers to improper fractions:
Multiply the whole number part by the denominator of the fraction.Add the numerator of the fraction and the product obtained (This sum will be the new numerator).The denominator is the same.Then:
[tex]2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}[/tex]
We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):
[tex]4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12[/tex]
Then:
[tex]\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons[/tex]
To convert this improper fraction to a mixed number:
When you divide 73 by 12 you get a quotient of 6. This will be the whole number.The remainder obtained is 1. This will be the numerator of the fraction. The denominator does not change.Then:
[tex]\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons[/tex]
What is the midpoint of NH
Answer:
the answer would be k or -3 hope this helps
Answer: K
Step-by-step explanation:
The answer for this question would be K
If two parallel lines are cut by a transversal, then would the same side interior angles ever be congruent?
Answer:
Step-by-step explanation:
Yes!
If the traversal is perpendicular to the parallel lines.
A family is measuring its house in order to figure out how much paint will be
needed to paint the house. Which is the dependent variable in the relationship?
Answer: How much paint
The independent variable is the measuring of the house
In this context, the dependent variable is the amount of paint needed. This is dependent on the size of the house (the independent variable). As the size of the house changes, it affects the amount of paint needed.
Explanation:In this situation, where a family is trying to figure out how much paint is needed to paint their home, the dependent variable would be the amount of paint needed. This is because the amount of paint is dependent on the size of the house (the independent variable). The independent variable is the one that can be changed or manipulated, in this context it is the size of the house. The dependent variable is what is being measured and it depends on the value of the independent variable, in this case it's the amount of paint needed.
So in simple terms, as the size of the house changes (independent variable), it will affect the amount of paint the family will need (dependent variable).
Learn more about Dependent Variable here:https://brainly.com/question/33601434
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Based on the number line and the fact that XW = YZ, evaluate the statement “W must be at –3.”
Answer:
W over -3
Step-by-step explanation:
The W should be placed above the -3. The statement clearly states that W should be -3. Therefore just put a W over -3
Simplify these expressions.
a. 4c + 9 + 3
b. 10x + (–4) + (–10)
c. –9 + 3x + 14
d. 11y + 6 + (–7)
What is 7.0717 million in figures?
Answer:
7,071,700 or seven million seventy one thousand and seven hundred
Step-by-step explanation:
7.0717 can be in three parts7,071,77 million71 thousand7 hundredAnswer:
In figures - 7071700
Step-by-step explanation:
Given : Number 7.0717 million.
To find : What is number in figures?
Solution :
We know that, 1 million has 6 zeros.
i.e. 1 million [tex]1000000[/tex]
7.0717 million is [tex]7.0717\times 1000000[/tex]
7.0717 million is 7071700.
In figures - 7071700
In which there are 7 million, 71 thousand and 7 hundred
Mauricio’s retirement account allows him to delay paying taxes on contributions until he withdraws the money at retirement. Which statement describes Mauricio’s contributions?
A.
The contributions are tax exempt because they will be taxed at a minimal rate.
B.
The contributions are tax deferred because they will be taxed at a minimal rate.
C.
The contributions are tax exempt because they will be taxed in the future.
D.
The contributions are tax deferred because they will be taxed in the future.
Answer:
C. The contributions are tax exempt because they will be taxed in the future.Step-by-step explanation:
The type of contribution Mauricio is doing is Tax Deferred Contribution, which refers to contributions from investment earnings, like dividends, capital gains or retirements accounts, all these accumulate tax-free fees until the person receive the profits.
Therefore, the right answer here is c, because it will be taxed in the future.
Answer:
D.
The contributions are tax deferred because they will be taxed in the future
Step-by-step explanation:
In the formula I=P.rt, what does r stand for?
a. Rate: the percent that interest is paid annually as a decimal
b. Ratio: the size of the interest interval compared to time
Return: how much money you end up earning
d. Reserves: how much money you have in the investment
C.
Ro
Please select the best answer from the choices provided
Mark thin and nature
Save and Exit
Sithmit
vity
Answer:
a. Rate: the percent that interest is paid annually as a decimal. explanation:In the given formula of simple interest I = P.r.t
P is the principal or initial amount.
r is the rate of interest paid annually as a decimal.
t is the time period in years.
The simple interest formula permits us to calculate I, which is the interest charged or earned on a loan.
Savannah went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 350 mg of sodium. Savannah purchased a total of 13 cans of soup and frozen dinners which collectively contain 3050 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
Answer:
65
Step-by-step explanation:
The system of equations is: [tex]\( x + y = 13 \)[/tex] and [tex]\( 200x + 350y = 3050 \)[/tex], where \( x \) represents the number of cans of soup purchased and \( y \) represents the number of frozen dinners purchased.
Let's define:
- \( x \) as the number of cans of soup purchased.
- \( y \) as the number of frozen dinners purchased.
The system of equations would be:
1.[tex]\( x + y = 13 \)[/tex] (since Savannah purchased a total of 13 cans of soup and frozen dinners)
2.[tex]\( 200x + 350y = 3050 \)[/tex] (since each can of soup has 200 mg of sodium and each frozen dinner has 350 mg of sodium, and together they contain 3050 mg of sodium).
Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population? Show your work.
Answer:
the population is 840 initially to which we subtract the 95% that leaves us a total of 42 to which we add the initial amount of population, which would give us as a final result 882
reply:
The total number of people that increased the population was 42 since Joe left, but in total there are 882 people.
X is 2,5,6,9,11 and y is 0,2,46,8 is this a function or a nun function
Answer:
yes it is a function because none of the x value repeat. If they did repeat, then when plotted on a graph it would not pass the vertical line test.
Step-by-step explanation:
The 7 in 3.47 has a value blank times the value of the 7 in 7.34
Answer:
1/100
Step-by-step explanation:
7 in 3.47 is 7/100
7 in 7.34 is 7
so the first 7 is 1/100 times the value of 7
The perimeter of a rectangle is 212. The length is 16 more than 5 times the width. Find the dimensions.
Answer:
Dimensions are
Length= 91 units
Width=15 units
Step-by-step explanation:
The formula for perimeter is 2(l+w) where l is length and w is width.
Given perimeter is 212 units
Let the width , w=x units
Length is 16 more 5 times the width= 5x+16 units
So length will be = 5x+16
and width will be= x
Perimeter = 2(l+w)
212=2( 5x+16+x)
212=10x+32+2x
212=12x+32
212-32=12x
180=12x
180/12=12x/12
15=x----------------------width
For length= 5x+16
l=(5*15) +16
l=75+16=91 units-------------length
what is reciprocal of 14
Answer:
1/14
Step-by-step explanation:
Since 14 is the same as 14/1, and since reciprocal is simply flipping the fraction, the answer is 1/14.
Answer: 1/14
Step-by-step explanation:
Turn 14 into a fractions = 14/1
Flip the fraction
1/14 <- that is the reciprocal
28. Find the perimeter of the polygon.
9 mm
a. 55 mm
b. 54 mm
c. 52 mm
Answer:
I don't see a polygon anywhere...
A small company is creating a new product to sell to buyers. They have estimated that it will cost them $6 to produce each item and they will have start-up costs of $242000. This lead
to the following expression, which gives the total cost, in dollars, to produce q of these new products:
69 +212000
Use this expression to predict how much it will cost them to produce 17600 items.
Answer: It will cost them
dollars to produce 17600 items. (Do NOT include a dollar sign or any commas in your answer or it will be marked incorrect.)
Answer:
$347,600
Step-by-step explanation:
There is fixed startup cost of 242,000 no matter how many units they product.
Also, each unit costs 6 to produce, so to produce 17,600 items, it's going to cost:
17,600 * 6 = 105,600
Along with this the fixed startup cost of 242,000, would make total cost:
Total cost = 242,000 + 105,600 = $347,600
To find the total cost of producing 17,600 items with a production cost of $6 per item and $242,000 in start-up costs, the correct formula ($6 \times 17,600) + $242,000 must be used, yielding a total cost of $347,600.
Explanation:The given expression for the total cost to produce q products appears to be incomplete. Based on the initial information provided, the cost to produce each item is $6, and there are start-up costs of $242,000. If we correct the expression, it should be $6q + $242,000 to find the total cost for producing q items. Thus, to calculate the cost to produce 17,600 items, we use the correct formula:
Total Cost = ($6 \times 17,600) + $242,000
Performing the calculations:
Total Cost = ($105,600) + $242,000
Total Cost = $347,600
Therefore, it will cost the company $347,600 to produce 17,600 items.
evaluate the expression when p=-5 and q=10. 20+2q÷p
Answer:
-6
Step-by-step explanation:
p=-5 q=10
20+2q/p
10+2(10)/-5
10+20/-5
30/-5
-6
Hope this helps!
Solve (32-5)+(3*4-2)=
Hello.
Here is the step-by-step
(32-5) + (3*4-2) ---> 27 + (3*4-2)
27 + (3*4-2) ---> 27 + (12-2)
27 + (12-2) ---> 27 + 10
27 + 10 ---> 37
You have to work inside the parenthesis, left to right, then solve.
The result of (32 - 5) + (3 * 4 - 2) is 37.
Begin by solving the operations inside each set of parentheses separately.
For the first parentheses:
32 - 5 = 27
For the second parentheses, calculate the multiplication first before the subtraction:
3 * 4 = 12
Then subtract 2:
12 - 2 = 10
Combine the results: Add the results of the two parentheses together:
27 + 10
Perform the addition:
27 + 10 = 37
Why is 4.13 x 1000 = 4130 and 413,000 ÷100 = 4130 true
Answer:
Step-by-step explanation:
4.13*1000=4130
Because you move the decimal to the right 3 times'
413000/100=4130
Move the decimal 2 times to the left
The statement [tex]""4.13 x 1000 = 4130[/tex] and [tex]413,000/100 = 4130[/tex]"" is true due to the rules of multiplication and division with powers of ten.
Firstly, when multiplying a number by 10 raised to a power, the decimal point in the number moves to the right as many places as there are zeros in the power of ten. In this case, 4.13 is being multiplied by [tex]10^3[/tex] (which is 1000). The decimal point in 4.13 moves three places to the right, resulting in 4130. This is because [tex]10^3[/tex] means [tex]10 x 10 x 10,[/tex] and each multiplication by 10 moves the decimal point one place to the right.
Secondly, when dividing a number by 10 raised to a power, the decimal point in the number moves to the left as many places as there are zeros in the power of ten. Here, 413,000 is being divided by [tex]10^2[/tex] (which is 100). The decimal point in 413,000 moves two places to the left, resulting in 4130. This is because [tex]10^2[/tex] means [tex]10 x 10[/tex], and each division by 10 moves the decimal point one place to the left.
Therefore, both parts of the statement are true:
- [tex]4.13 multiplied by 10^3 (1000) equals 4130.[/tex]
- [tex]413,000 divided by 10^2 (100) equals 4130.[/tex]
In summary, the operations performed on the numbers are consistent with the rules for manipulating decimal numbers when multiplying or dividing by powers of ten.
14.51 less than the product of 26 and x
Answer:
26 x -15.51
Step-by-step explanation:
What is the equation in point-slope form of a line that passes through the points (5, -3) and (-2, 9) ? A y+3= -2(x- 5)
B y-3 = 12/7(x + 5). C y-3=-2(x+5)
D y+3= 12/7(x-5)
Line through (5, -3) and (-2, 9)
The slope is (9 - -3) / (-2 - 5) = -12/7
Point slope form, point (a,b), slope m, is
y - b = m(x-a)
When we pick the point (a,b)=(5,-3) our answer is
y + 3 = -12/7 (x - 5)
That's almost D except for the sign on the slope. The slope is definitely negative so none of the above is correct.
Answer:
the answer is D
Step-by-step explanation:
how many ounces is 5 3/4 cups
Answer:
46 fluid ounces
Step-by-step explanation:
The formula is to multiply the volume by 8
i have homework yea only a few questions help meh pls only
4 questions shanks
1. witch translation will always produce the same image as rotated 90
a reflection over the y-axis
b rotaion 270 clockwise
c rotaion 90 clockwise
d a reflection over x axis
2 -1,7 is rotated 270 counterclockwise whats the new cords
3 -8, -12 is refleted over x axis whats the new cords
4 representation for transformation 7 units left and 6 units up
Answer:
1.) B
2.) (7,1)
3.) (-8,12)
(-7,+6)
Step-by-step explanation:
9n+27=7n-3
Solving equations- variables on both sides
Answer:
n=-5
Step-by-step explanation:
The diagram shows triangle ABC, with AB = xcm, AC = (x+2)cm, BC = 2square root7cm and angle CAB = 60°.
(i) Find the value of x.
To determine x in triangle ABC with given side lengths and an angle, apply the Law of Cosines and solve the resultant quadratic equation.
Explanation:The question asks for the value of x in a triangle with sides AB = x cm, AC = (x+2) cm, and BC = 2√7 cm, with an angle CAB of 60°. This problem can be solved using the Law of Cosines which states that in any triangle, c² = a² + b² - 2ab×cos(C), where c is the side opposite angle C and a and b are the other two sides.
To find the value of x, we substitute the given values into the Law of Cosines formula:
[tex]BC² = AB² + AC² - 2×AB×AC×cos(CAB)(2√7)² = x² + (x+2)² - 2×x×(x+2)×cos(60°)[/tex]Solve for x paying attention to the fact that cos(60°) is 0.5. After simplifying the equation, we obtain a quadratic equation in x, which can be solved using standard algebraic methods.
Note: The provided solution excerpts are related to vector components and do not directly apply to solving this triangle problem.
According to the Constitution, the amount of time the president and vice president serve in office together for one term is
four years
six years.
seven years
ten years
The correct term for which the President and Vice President serve in office together is four years.
According to the 22nd Amendment to the United States Constitution, the President and Vice President are elected to serve a term of four years. This amendment, ratified in 1951, also limits the President to two terms in office, but each term is four years long. Therefore, the total amount of time a President and Vice President can serve together consecutively is eight years, assuming they are re-elected for a second term. The Constitution does not provide for terms of six, seven, or ten years for the President and Vice President.
Jaime has two fractions, 3/18 and 13/15, that he needs to compare. He knows he will not be able to tell which is bigger until they have been rewritten with the same denominator. Which of the following shows both of these fractions rewritten with their least common denominator?
Answer:
3/18= 1/6= .166
13/15= .866
3/18 < 13/15
Another way is
15/90 for 3/18
78/90 for 13/15
3/18 < 13/15
lcd: 90
the median player salary for a professional football team was $420,100 in 2000 and $1,305,528 in 2008. write a linear equation giving the median salary y in terms of the year x. (let x=0 represent 2000.)
Answer:
[tex]y=110678.5x+420100[/tex]
Step-by-step explanation:
Given in the question that in ;
Year(x) salary y ($)
2000 420,100
2008 1305528
And x=0 in 2000, then in 2008, x=8 so you can form a table for values of x and y as
x y
0 420,100
8 1305528
To come up with a linear equation, you need to find the slope,m
m=change in y values/change is x values
m=(1305528-420100)÷ (8-0)
m=885428/8 =110678.5
To find the equation
Δy values ÷ Δx values =m
Δy values=y-420,100
Δx values= x-0
m=110,678.5
[tex]\frac{y-420100}{x-0} =110678.5\\\\\\y-420100=110678.5(x)\\\\\\\\y=110678.5x+420100[/tex]