The equivalent number to the given equation is 54.861, calculated by using the order of operations and understanding of place value.
Explanation:
To solve this problem, you need to understand the concept of place value and order of operations in mathematics. Given the equation 5*10 + 4*1 + 8*1/10 + 6*1/100 + 1*1/1,000, we can begin solving using the order of operations, which is often remembered as PEMDAS - Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Here, we multiply before adding. The solution would look like this:
5*10 = 504*1 = 48*1/10 = 0.86*1/100 = 0.061*1/1,000 = 0.001Adding these results together, you get 50 + 4 + 0.8 + 0.06 + 0.001 = 54.861
So the equivalent number is 54.861, which corresponds to answer choice A.
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WHAT IS THE MIDPOINT OF 0.1 AND 0.2
The 0 is needed as a placeholder between the decimal point and the hundredths' digit. For numbers between 0.1 and 0.2, there is a 1 in the tenths' place: 0.11, 0.12, 0.13, and so on. For numbers between 0.2 and 0.3, there is a 2 in the tenths' place: 0.21, 0.22, 0.23, and so forth.
The midpoint of 0.1 and 0.2 is 0.15.
What is the midpoint?
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
To find the midpoint we just have to add both the numbers and then divide by 2.
So, midpoint be,
= (0.1+0.2)/2
=0.3/2
=0.15
Thus the midpoint of 0.1 and 0.2 is 0.15.
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Simplify the following expression. 8 – 5(12x + 8)
Hello again!
[tex]8 - 5(12x + 8)[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First you had to expand.
[tex]-5(12x+8):-60x-40[/tex]
[tex]8-60x-40[/tex]
Simplify it should be the correct answer.
[tex]8-60x-40:-60x-32[/tex]
[tex]=-60x-32[/tex]
Answer⇒⇒⇒⇒=-60x-32
Hope this helps!
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Have a great day!
-Charlie
Hey there!!
Given equation :
... 8 - 5 ( 12x + 8 )
Using the distributive property :
... 8 - 60x - 40
Combining like terms :
... -32 - 60x ( This is the final answer ).
Hope my answer helps!!
Variable for a small pizza dough is s. And medium pizza dough is 1 1/2 times the small and a large is 2 1/2 times a small what is the amount for a small pizza
32/2 if im ring tell me pls
Which complex number is a distance of sqrt17 from the origin on the complex plane?
A. 2 + 15i
B. 17 + i
C. 20 - 3i
D. 4 - i
Let z=x+iy be a complex number. The distance from this complex number to the origin is
[tex]\sqrt{(x-0)^2+(y-0)^2}=\sqrt{x^2+y^2}.[/tex]
Consider all options:
A. z=2+15i, then [tex]\sqrt{2^2+15^2}=\sqrt{229}.[/tex]
B. z=17+i, then [tex]\sqrt{17^2+1^2}=\sqrt{290}.[/tex]
C. z=20-3i, then [tex]\sqrt{20^2+(-3)^2}=\sqrt{409}.[/tex]
D. z=4-i, then [tex]\sqrt{4^2+(-1)^2}=\sqrt{17}.[/tex]
Answer: correct choice is D.
Nina has 3 feet ribbon that she wants to cut into 8 equal sized pieces. What is true about the length of each ribbon? A) each piece has 1/3 of 8 feet ribbon B) each piece has 1/8 of 3 feet ribbon C) each piece has 8/3 feet of ribbon
Answer:
B) each piece has 1/8 of 3 feet ribbon
Step-by-step explanation:
Given,
The total length of the ribbon = 3 feet,
Total number of pieces of the ribbon = 8,
If each piece has the same length,
So, the length of each piece
[tex]=\frac{\text{total length of the ribbon}}{\text{total pieces}}[/tex]
[tex]=\frac{3}{8}[/tex]
= 1/8 of 3 feet
Hence, OPTION B is correct.
Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which statements are true regarding his work? Check all that apply.
A: The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."
B: An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."
C: The statement is not a conditional statement because it does not include both an "if" and a "then" clause.
D:The statement can be proven true or false.
E:The conclusion of the statement is written before the hypothesis.
The true statement regarding Galen's work are:
The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3."An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."The statement can be tested with examples to determine its truth value.Did Galen's Statement Meet Conditional Statement Criteria?A conditional statement is a logical statement that consists of an "if" clause (hypothesis) and a "then" clause (conclusion), where the "if" clause specifies a condition and the "then" clause indicates a result that follows if the condition is met.
Galen's statement:
"If the sum of the digits in a number is divisible by 3, the original number is divisible by 3."
Let's analyze the components of the statement:
Hypothesis (if clause): "The sum of the digits in a number is divisible by 3."Conclusion (then clause): "The original number is divisible by 3."Read more about divisible number
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The function y=25x+500 represents your monthly rent y when you pay x days late.
The domain is 0,1,2,3,4 and 5 what is the range?
x, y=25x+500
range = {500, 525, 550, 575, 600, 625}
For a given function we can define the domain as the set of the possible inputs of that function, and the range as the set of the possible outputs of that function.
We will find that the range is: {500, 525, 550, 575, 600, 625}
So, if for a given function f(x) we know that the domain is {x₁, x₂, ..., xₙ} then the range will be {f(x₁), ..., f(xₙ)}
Here we have the function:
y = f(x) = 25*x + 500
And we have the domain: {0, 1, 2, 3, 4, 5}
Then the values in the range are:
f(0) = 25*0 + 500 = 500f(1) = 25*1 + 500 = 525f(2) = 25*2 + 500 = 550f(3) = 25*3 + 500 = 575f(4) = 25*4 + 500 = 600f(5) = 25*5 + 500 = 625Thus the range is: {500, 525, 550, 575, 600, 625}
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Dario is finding the percent of change from $52 to $125. Find his mistake and correct it. His mistake: $ 125 - $ 52 over $ 125 = 0.58 or 58%
um i think its 140,38%
Answer:
140.38%
Step-by-step explanation:
sarah drives 55 mi/h for h hours. which expression shows the number of miles that sarah drove?
The expression that I can make from this data is 55 x h = miles traveled
Answer:
The expression is 55 x h = miles traveled
Step-by-step explanation:
What total length of ribbon is needed to Line the two long sides of the hat?
Answer:
Total length of ribbon to line the long sides will be 22 in
Step-by-step explanation:
In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.
Then by applying Pythagoras theorem in both the triangles.
h²= (3x + 5)² + (2x + 1)² ------(1)
h²= (5x + 1)² + 5² ------(2)
By equating both the equations
(3x + 5)² + (2x + 1)² = (5x + 1)² + 25
9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25
13x² + 34x + 26 = 25x² + 10x + 26
13x² - 25x² + 34x - 10x + 26 - 26 = 0
- 12x² + 24x = 0
12x² - 24x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2
Now we will put x = 2 in the measure of sides of the kite.
Side 1 = (3x + 5)
= 3×2 + 5
= 11
Side 2 = (5x + 1)
= 5×2 + 1
= 11
Side 3 = (2x + 1)
= 2×2 + 1
= 5
Therefore, Total length of ribbon to line the long sides will be = 11 + 11
= 22 in.
Your answer will be D-22.
worth 30 points
what is the answers to questions 34 and 35???plz help me I don't understand
The answer to question 34:
Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.
So the total gravel and much is equal to x + 27/16x = 172
Solving for 'x'
43/16 x = 172
x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds
The answer to question 35:
A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.
B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.
Hi Nicole,
Question 34:
2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.
Gravel - 172 / 1 1/3 = 129
Mulch - 172 / 2 1/4 = 76.44444...
Question 35:
a. 18 beats in 15 seconds.
b. 25 beats in 10 seconds.
Part A:
Find beats per minute:
1 minute = 60 seconds
60 / 15 = 4
18 x 4 = 72
Answer - 72 beats per minute (Resting)
150 beats per minute (Running)
Part B:
72 times per minute resting
Find 25 times in 10 seconds in minutes,
1 minute = 60 seconds
60 / 10 = 6
25 x 6 = 150
So while running the friend has 150 beats per minute.
Find the number of beats in 3 minutes for both:
Resting:
72 x 3 = 216
216 beats in 3 minutes
Running:
150 x 3 = 450
450 beats in 3 minutes
Subtract:
450 - 216 = 234
Answer - Your friend's heart beat is 234 beats more in 3 minutes than at rest.
Hope This Helps!
There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?
cats = dogs + 37
dogs = cats - 37
78 - 37 = 41 (dogs)
what proberty is a=1a and also 3-3×=3(1-×)
The first one,
[tex]a=1\times a[/tex] is the multiplicative identity property.
The identity element of multiplication of real numbers is 1.
This means that if you multiply any real number [tex]a[/tex] by [tex]1[/tex] you get the same real number.
The second one,
[tex]3-3x=3(1-x)[/tex] is the distributive of property of multiplication over subtraction.
Answer:
a = 1a ---> multiplicative identity property of 1
3 - 3x = 3 (1 - x) ---> distributive property of multiplication (over subtraction)
Step-by-step explanation:
a = 1a holds the the multiplicative identity property of 1.
This property of identity states that whenever you multiply any number with 1, the result is same as the original number. It means that 1 has no effect when multiplied with any number.
3 - 3x = 3 (1 - x) holds the distributive property of multiplication (over subtraction)
This distributive property is used to multiply a single term with two or more terms inside the brackets or you can say the equations which are in the form a (b + c).
Its main purpose is to expand the terms by first multiplying each term inside the bracket with the term outside the term and then adding/subtracting the like terms together.
(w15/w5)^4 Simplify it.
[tex]Solution, \left(\frac{w^{15}}{w^5}\right)^4=w^{40}[/tex]
[tex]Steps:[/tex]
[tex]\left(\frac{w^{15}}{w^5}\right)^4[/tex]
[tex]\frac{w^{15}}{w^5}=w^{10}, =\left(w^{10}\right)^4[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}, =w^{10\cdot \:4}[/tex]
[tex]\mathrm{Refine}=w^{40}[/tex]
[tex]\mathrm{The\:Correct\:Answer\:is\:w^4^0}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
Answer:
for this equation, it equals w^40
Step-by-step explanation:
I took the test already :)
suppose both factors in a multiplication problem are multiples of 10. Explain why the number of zeros in the factors. Include an example.
5th grade work.
Answer:
10 * 10 = 100
20 * 10 = 200
30 * 40 = 1200
Step-by-step explanation:
Step 1: In both the factors, we have zeros. for example, multiplying 20 and 10, we get 200.
Step 2: Since there are two zeros (adding zeros in multiple), therefore, in the result we get 2 zeros
More examples:
10 * 200 = 2000, there are 3 zeros (1 +2 = 3 zeros)
200 * 200 = 40000, there 4 zeros ( 2+2 = 4)
Hope this will help you understand the concept.
When multiplying two multiples of 10, the number of zeros in the product equals the sum of the zeros in the factors. This is due to each zero representing a power of ten. The product in a multiplication of multiples of 10 will have a number of zeros that matches the combined number of zeros in the factors.
When both factors in a multiplication problem are multiples of 10, the result is a number with a zero for each zero in each factor.
This is because each zero represents a power of ten, and when we multiply by 10, we are increasing the power of ten.
For example, if we have two factors, 30 and 40 (which are multiples of 10), the product would be 1200. In this case, 30 has one zero and 40 has one zero, so the product, 1200, has two zeros.
The rule can also be applied to larger multiples of 10.
For instance, if we multiply 200 by 4000, the product would: 200 (two zeros) x 4000 (three zeros) equals 800,000 (five zeros).
The total number of zeros in the product equals the sum of the zeros in the factors.
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what is 5 in into centimeters
5 inches into centimeters is 12.7 because 2.54 cm is in an inch so multiple 2.54 by 5 and get 12.7
A cooler holds 15 liters of water. About how many gallons does it hold?
Divide 15 by 3.79 to get your answer.
[tex]\frac{15}{3.79} = 3.9[/tex]
The answer is 3.9 gallons, or you could round to 4.
Answer:
Step-by-step explanation:
The cooler holds 15 liters of water
Give: 1 gallon ≈ 3.79 liters
15 liters of water has how many gallons?
Cross multiplying gives approximately:
(15 × 1) ÷ 3.79 = 3.957783641 gallons = 4 gallons rounded up to nearest gallon.
The cooler holds about 4 gallons.
PLEASE HELP worth 45 points
In a blueprint, each square has a side length of 1/4 inch.
(down below)
a. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom?
It would cost $
to tile the bathroom.
b. Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?
It would cost $
to carpet the bedroom and living room.
Question 2
c. Which has a greater unit cost, the tile or the carpet? Explain.
The has a greater unit cost because $5 per square foot for the tile is than $ per square foot for the carpet.
1 blue square on drawing is length 1/4 in but that means 4ft in reality.
so one blue square area correspongs to 4x4 = 16 square feet.
(a) there 6 tiles for the batrhroom = 6x16 sq.ft = 96 sq.ft and the cost will be $480
(b) bedroom + living area = 7x8-8 tiles = 48 tiles = 48 x 16 sq.ft. = 768 sq.ft = 85.33 sq. yards. So the cost will be 85.33*18=$1535.94
(c) unit cost for tile: $5/sq.ft
unit cost for carpet: $1535.94/768sq.ft = $2/sq.ft
The tile has a greater unit cost ($5 per sq.ft) than carpet ($2 per sq.ft)
The exact costs for tiling and carpeting cannot be determined without the dimensions of the rooms. However, converting square inches to square feet or yards allows for cost calculation. Generally, tile has a greater unit cost than carpet when both are compared per square foot.
Explanation:Unfortunately, we cannot provide exact costs for tiling the bathroom or carpeting the bedroom and living room as the dimensions of these rooms are not provided. However, once you have total area in square inches, you can convert it into square feet or square yard by knowing that 1 square foot is 144 square inches and 1 square yard is 1296 square inches. After converting, you can then multiply the areas by the respective unit costs of the ceramic tile and the carpet to get the total costs.
For the unit cost comparison, generally, carpet is sold by square yard and tile is sold by square foot. To make an accurate comparison, we need to convert the price of carpet from per yard to per foot by dividing it by 9 (since 1 square yard = 9 square feet). If, for example, the carpet cost is $18 per square yard, this would equate to $2 per square foot. Comparing this to the tile cost of $5 per square foot, you can see that the tile has a greater unit cost.
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Help, please and thanks!
What is the solution to this equation? x – 17 = –5
A. x = 22
B. x = 12
C. x = –22
D. x = –12
INVESTIGAR LAS CARACTERÍSTICAS DE LOS NUMEROS PRIMOS Y ANOTAR LA LISTA DE LOS PRIMEROS 20 NUMEROS PRIMOS
AYUDENME URGE PARA AHORITAAAAAAA
SE QUE NADIE LO VA RESPONDER : (
No soy español pero soy fluido, puedo ayudarte aunque
how do u calculate these number from least to greatest 2.35, 2.54, 2.01
determine if the number 5.1x10^-8 is written in scientific notation
Yes, the number is written in scientific notation.
Given
Determine if the number 5.1x10^-8 is written in scientific notation
Scientific notation;Scientific notation is defined as mathematical representation used to represent the decimal number which presents between 1 to 10 multiplied by 10 raised to a power equal to some integer.
If the power is more negative number will be smaller.If the power is less negative the number will greater.The standard of the scientific notation is;
[tex]\rm =a\times b^{10}[/tex]
Therefore,
The number written in scientific notation is;
[tex]5.1\times10^{-8}[/tex]
Hence, yes, the number is written in scientific notation.
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840.89+928=
[tex]840.89 + 928 \\ [/tex]
840.89 + 928 = 1768.89.
Answer:
1,768.89
Step-by-step explanation:
this is your answer
Hello can you help me please?) please answer question 3 and 7
3.
1h - $50
xh - x · $50
f(x) = 50x
x = 6 → f(6) = (50)(6) = 300
Answer: $300.
7.
1DVD - $17.75
xDVD - x · 17.75
f(x) = 17.75x
x = 5 → f(5) = (17.75)(5) = 88.75
Answer: $88.75
the total weight of six pieces of butter and a bag of sugar is 3.8lb.if the weight of the bag of sugar is 1.4lb what is the weight of each piece of butter
answer:
0.4lbs per stick of butter
step-by-step explanation:
objective: find the weight of each stick of butter
total pounds: 3.8 - 1.4 (bag of sugar) = 2.4lbs
2.4lbs is the amount of pounds of butter but we need to find the weight of each stick - to do this we must divide our weight of the butter by the six sticks of butter
2.4 ÷ 6 = 0.4lbs per stick of butter
What is the solution to 2 ln x = 4 ln 2?
Answer:
The solution to 2 ln x = 4 ln 2 is x = ±4
Step-by-step explanation:
We have 2 ln x = 4 ln 2
[tex]nlogx\texttt{ can be written as }logx^n[/tex]
So we have
2 ln x = 4 ln 2
ln x² = ln 2⁴
Comparing both sides we have
x² = 2⁴ = 16
x = ±4
The solution to 2 ln x = 4 ln 2 is x = ±4
Answer:
4
Step-by-step explanation:
What's the awnser for 3x-14=x+2
x = 8.
3x-14=x+2
+14 +14
3x = x + 16
-x -x
2x = 16
Which equals 8 divided.
So x = 8.
3x - 14 = x + 2
-x -x
2x - 14 = 2
+14 +14
2x = 16
[tex]\frac{2x}{2}[/tex] = [tex]\frac{16}{2}[/tex]
x = 8
Answer: x = 8
Given ED, DB which statements about the figure are true? Check all that apply.
Answer: EB is bisected by DF
A is the midpoint DF
EB is a segment bisector
FA=1/2FC.
Step-by-step explanation:
How many ways can the letters of the word ORGANISM be arranged so the third letter is G? A. 7 B. 8 C. 5040 D. 40,320
The graph of the equation y = 1 2 x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.
All of those given equations intersect the equation y = 12x +2. (:
Answer:
A
C
D
is the answer. i just was doing the practice