Step-by-step explanation:
ano po ? pwede e bou nyo yong Tanong
What is 166.44 divided by 4 equal using long division. Please answer this is due in 10 minutes. The person with THE RIGHT ANSWER get brainiest and 30 points.
Fritz can build a bookcase in 8 hours and Holly can build the same bookcase in 10 hours. After working together for 3 hours, Fritz leaves how long will it take holly to finish the bookcase by herself?
Holy will take 13/5 or 2.6 hours to finish the bookcase.
What is relation between time and work?The relation between time and work is
Work Done = Time Taken × Rate of Work ·
or, Rate of Work = 1 / Time Taken ·
or, Time Taken = 1 / Rate of Work ·
Now it is given that,
Time taken by Fritz to build a bookcase = 8 hours
So, Bookcase build by Fritz in 1 hour = 1/8
Similarly,
Time taken by Holly to build a bookcase = 10 hours
So, Bookcase build by Holly in 1 hour = 1/10
So, bookcase build in 3 hours
Fritz = 3/8
Holly = 3/10
Total bookcase build in 3 hours = 3/8 + 3/10 = 27/40
So. remaining work = 1 - 27/40 = 13/40
Thus, Time taken by Fritz to complete the bookcase = 8 * (13/40) hours
= 13/5 or 2.6 hours
Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.
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Express in simplest radical form.
Square root of 160
Answer:
4 [tex]\sqrt{10}[/tex]
Step-by-step explanation:
Simplify
[tex]\sqrt{160}[/tex]
We can rewrite this as
[tex]\sqrt{16 * 10}[/tex]
Breaking this up
[tex]\sqrt{16} \sqrt{10}[/tex]
We know the square root of 16 is 4
4 [tex]\sqrt{10}[/tex]
sqrt(10) cannot be simplified so
Answer:
[tex]4\sqrt{10}[/tex]
Step-by-step explanation:
160 = 16 * 10
[tex]\sqrt{160} = \sqrt{16 \cdot 10} = \sqrt{16} \cdot \sqrt{10} = 4\sqrt{10}[/tex]
we cannot simplify further as 10 is 2*5, there are no more squares to simplify.
The velocity (v metres per second) of a body is known to be proportional to the square root of its kinetic energy (e joules). When the velocity of a body is 120 m/s, its kinetic energy is 1600 J.
a) Write down a relationship between v and e, using k as the constant of proportionality.
b) Calculate the value of k.
c) If v = 21, calculate the kinetic energy of the body in joules.
Answer: Find step-by-step Probability solutions and your answer to the following textbook question: The velocity (v metres per second) of a body is known to be proportional to the square root of its kinetic energy (e j.) I don't know if this will help
Step-by-step explanation:
Find the value of sin c
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{\sqrt{95}}\\ \end{cases} \\\\\\ c=\sqrt{7^2~~ + ~~(\sqrt{95})^2}\implies c=\sqrt{49+95}\implies c=\sqrt{144}\implies c=12 \\\\[-0.35em] ~\dotfill\\\\ sin(C )=\cfrac{\stackrel{opposite}{\sqrt{95}}}{\underset{hypotenuse}{12}}\implies sin(C)\approx \text{\LARGE 0.81}[/tex]
i need help with plotting and answering bottom questions please
- Three times a number increased by 15 is
equal to 30. What is the number?
plify.
Answer:
x = 5
Step-by-step explanation:
3x + 15 = 30 Subtract 15 from both sides of the equation
3x = 15 Divide both sides by 3
x = 5
is anybody good at maths
15times15 divide by 20 takeway 5 add100
[tex]111.2[/tex]
Step-by-step explanation:
As per the question, 15 times 15 i.e. 225
[tex]15 \times 15 = 225[/tex]
225 divide by 20 i.e. 11.25
[tex] \frac{225}{20} = 11.25[/tex]
take away five from the 11.25 then it will be 11.2
Add 100 to 11.2 i.e
[tex]11.2 + 100 = 111.2[/tex]
Answer: 115
Step-by-step explanation:
[tex]\displaystyle\\\frac{15*15}{20-5} +100=\\\\\frac{15*15}{15} +100=\\\\15+100=\\\\115[/tex]
hi please help me ii need this one right now
Answer:the graph is not linear
Step-by-step explanation:
For Exercises 23 and 24, find the value of x and the measure of each interior angle
If the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)° then the value of x is equal to 50.
Given that the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°.
We are required to find the value of x that are used in the angles of the given octagon.
Octagon is the shape that has eight sides,eight vertices,eight angles. Sum of all the interior angles of octagon is equal to 1080°.
(4x-80)°+ (4x-80)°+(2x+50)°+(2x+50)°+(4x-80)°+(4x-80)°+(2x+50)°+(2x+50)°=1080
24x-120=1080
24x=1080+120
24x=1200
x=1200/24
x=50
Hence if the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)° then the value of x is equal to 50.
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Solve the equation
3x/3x-1 + 2/x = 1
Answer:
x= 2/7
Step-by-step explanation:
Multiply both sides by the common denominator
3x^2 +6x−2=3x^2 −x
Move everything to the left side.
3x^2+6x-2-3x^2+x=0
Simply.
7x-2=0
Separate the cosntants and variables.
7x=0+2
Add or subtract zero
7x=2
Then divide both sides by 7.
7x/7=2/7
Cancel out common factors in the numerator and denominator
x=2/7
Answer:
x = 2/7
Step-by-step explanation:
You want to solve the equation 3x/(3x-1) + 2/x = 1.
SolutionIt works nicely to subtract 1 from both sides, then simplify.
[tex]\dfrac{3x}{3x-1}+\dfrac{2}{x}=1\\\\\dfrac{3x}{3x-1}\cdot\dfrac{x}{x}+\dfrac{2}{x}\cdot\dfrac{3x-1}{3x-1}-\dfrac{x(3x-1)}{x(3x-1)}=0\\\\\dfrac{3x^2+6x-2-3x^2+x}{x(3x-1)}=0\qquad\text{combine terms}\\\\\dfrac{7x-2}{x(3x-1)}=0\qquad\text{simplify}\\\\7x-2=0\qquad\text{expression is 0 when numerator is 0}\\\\\boxed{x=\dfrac{2}{7}}\qquad\text{add 2, divide by 7}[/tex]
__
Additional comment
The values x=0 and x=1/3 would make the denominator zero, so are excluded from the domain of the equation. By working the problem this way, we ensure that extraneous solutions do not present themselves.
Money is borrowed at 18% simple interest. after one year, $610.06 pays off the loan. how much was originally borrowed?
The original amount borrowed was $517.
Simple Interest is the method to calculate the interest charged for a given number of years and given rate , in simple interest the principle remains same for each year.
Simple interest =[tex]\frac{P*R*T}{100}[/tex]
where P= principle, R=rate in % , T= time
We know that Amount= Principle+ Simple Interest........(1)
According to the question
Amount=$610.06
Rate=18%
time = 1yr
Substituting the value in equation (1) we get
[tex]610.06=P+\frac{P*18*1}{100}[/tex]
[tex]610.06=\frac{100P+18P}{100}[/tex]
[tex]610.06=\frac{118P}{100}[/tex]
[tex]61006=118P[/tex]
[tex]P=\frac{61006}{118}[/tex]
[tex]P=517[/tex]
Therefore , The original amount borrowed was $517.
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Consider the expression 4a + (-3b), where bis a negative number and a < b. Is the sum positive or negative?
The sum will be negative.
The product of two negative numbers is always positive and if we add two numbers, the sign of the greater number is used in the result.
Here, we are given an expression 4a + (-3b)
Also we are told that a < b and b is a negative number
Mow, since b is a negative number, (-3b) will always be positive. This is because the product of two negative numbers, here -3 and b, will always be positive.
Now, a can be positive or negative. If a is positive, the sum will always be positive. However, if it is negative, the sum can be either positive or negative.
Here, in fact, since a < b, a will always be negative only
Let us take an example, say a = -3 and b = -2
Then the sum becomes 4(-3) + (-3)(-2)
= -12 + 6
= -6
If we observe closely since a and be are both negative and a < b, in absolute terms a will always be greater than b since for negative numbers higher the value, smaller is the number.
Thus, we can conclude that 4a > (-3b) for all values of a and b
and since 4a will always be negative, the sum will also be negative.
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solve the simultaneous equation
-4x+3y=1
6x-y=2
Answer:
x = 1/2, y = 1
Step-by-step explanation:
Let's change the equation,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
Answer:
x = ¹/₂
y = 1
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}-4x+3y=1\\\:\:\:\:\:\:6x-y=2 \end{cases}[/tex]
Multiply the second equation by 3:
[tex]\implies 3 \cdot 6x-3 \cdot y = 3 \cdot 2[/tex]
[tex]\implies 18x-3y=6[/tex]
Add this to the first equation to eliminate the term in y:
[tex]\begin{array}{lrr}&-4x+3y & = 1\\+ & 18x-3y& = 6\\\cline{2-3} & 14x \phantom{-3x)} & = 7\end{array}[/tex]
Solve for x:
[tex]\begin{aligned}\implies 14x & = 7\\\\\dfrac{14x}{14} & = \dfrac{7}{14}\\\\\implies x & = \dfrac{1}{2}\end{aligned}[/tex]
Substitute the found value of x into the first equation and solve for y:
[tex]\begin{aligned}-4x+3y & =1\\x=\dfrac{1}{2}\implies -4\left(\dfrac{1}{2}\right)+3y & =1\\-\dfrac{4}{2}+3y & =1\\-2+3y & =1\\-2+3y+2 & =1+2\\ 3y & =3\\\dfrac{3y}{3} & =\dfrac{3}{3}\\\implies y & =1\end{aligned}[/tex]
Therefore, the solution to the given system of equations is:
x = ¹/₂ and y = 1
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3. What is an equation of the line in slope intercept form? (1 point)
A.y=2x-2
B.y=-2x-2
C.y=-2x+2
D.y=2x+2
Answer:
C. y = 2x + 2
Step-by-step explanation:
There are 2 points on the line (0,2) and (-3,-4)
from (-3,-4) to (0,2), rise over run is 6/3 so slope is 2
You can calculate it too
m = (y2-y1)/(x2-x1)
m = (-4 - 2)/(-3 - 0) = -6/-3 = 2
Using m = 2, x = 0, y = 2
y = mx + b
2 = 2(0) + b
b = 2
therefore
y = 2x + 2
A pet groomer gave 9 baths, 15 nail trims, 8 brush-outs, and 5 ear cleanings.
For every 5 nail trims, the groomer gave 3.
Based on the baths, nail trims, brush-outs, and ear cleanings the pet groomer gave, for every 5 nails, the groomer gave 3 baths.
What is the ratio?The pet groomer gave out a total of 15 nail trims. To find out the service that the pet groomer gave 3 of for every 5 nail trims, find out the number that takes 15 nail trims to 5 nail trims and then use this number to divide the number of the other services given.
The service that comes to a quantity of 3 would be the answer.
= 15 nail trims / 5
= 3
Use 3 to divide the rest. When baths are divided by 3 we get:
= 9 / 3
= 3 baths
In conclusion, for every 5 nail trims, the groomer gave out 3 baths.
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a. what fraction of the total goal distance did sarah run? b. tori ran 2 −3 of the total goal distance. who ran farther – sarah or tori?
The total goal distance Sarah run is 7/8.
The distance covered by Sarah is found to be more than Tori.
What is the exponents?A number's exponent indicates what many times a number has been multiplied by itself. For instance, 2×2×2×2 can be composed as 2⁴.
If a fraction does have a negative exponent, we take its reciprocal to make this same exponent positive.
If a fraction does have a negative exponent, we take its reciprocal to create the exponent positive.
Some properties of exponents are-
Law of Product: [tex]a^m \times a^n=a^{m+n}[/tex]Law of Negative Exponent: [tex]a^{-m}=1 / a^m[/tex]Law of Power of a Power: [tex]\left(a^m\right)^n=a^{m n}[/tex]Law of Power of a Product: [tex](a b)^m=a^m b^m[/tex]Law of Quotient: [tex]a^m / a^n=a^{m-n}[/tex]Now, as pet the given question;
Tori has covered 2⁻³ of the total distance;
Thus, it can be written as;
= 1/2³
= 1/8
Lets consider the total distance covered by both of them is 1.
Then, the distance covered by Sarah will be;
= 1 - 1/8
= 7/8
Thus, the distance covered by Sarah is 7/8.
As, 7/8 > 1/8
Therefore, the distance covered by Sarah is more than Tori.
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“ – 9(11 – 18) – 5.5”
me is needing help ok
Answer:
50.96 days can be rounded to 51
73381
1223
51
Step-by-step explanation:
Too bad I can't see the choices. I will give the numbers both as exact figures rounded to integers and you have to choose the closest to these.
Part A
50.96 days
Part B
6.6043 x 10⁵ gallons at 9 gallons per minute = (6.6043 x 10⁵)/9 = 660,430/9 = 73,381.11 gallons per minute rounded to 73,381 minutes
73,381 minutes = 73,381 /60 = 1223.02 hours 1223 hours
1223 hours = 1223/24 = 50.96 days rounded to 51 days
Hope that helps. Ask if you need further info
graph g(x) = -3|x+5|-1. Describe the transformations of the parent function f (x) =|x| that produce the graph g(x).
Answer:
horizontal shift 5 units left
Vertical shift 1 unit down
reflection on the x-axis: Reflected
Vertical stretch: stretched
Step-by-step explanation:
I need help right now!
Which expression is equivalent to 5(−2.3b − 4.1) − (7b + 0.7)?
−18.5b − 21.2
18.5b − 21.2
−18.5b − 3.4
18.5b + 3.4
Answer: B (18.5b-21.2)
The required expression −18.5b − 21.2 is equivalent to the given expression which is the correct answer that would be option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been given the expression below as
5(−2.3b − 4.1) − (7b + 0.7)
Open the parentheses and apply the distributive property of multiplication,
⇒ −2.3b × 5 − 4.1 × 5 − 7b - 0.7
⇒ -11.5 - 20.5 − 7b - 0.7
Rearrange the likewise terms and apply the arithmetic operation,
⇒ −18.5b − 21.2
Hence, the required expression −18.5b − 21.2 is equivalent to the given expression.
Thus, the correct answer would be an option (A).
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marine biologist captured and tagged 12 seals near Avila Beach. Recapture results found that 27% of the seals were tagged. Approximately how many seals are near Avila Beach
Based on the number of seals that were tagged near Avila Beach, the approximate number of seals near Avila Beach is 44 seals
How many seals are there?The number of seals near Avila beach can be said to be x. If it is x, then the formula is:
12 = 27% x ×
27%x = 12
0.27x = 12
Solving for x then gives:
x = 12 / 0.27
x = 44.44
= 44 seals
In conclusion, there are approximately 44 seals near Avila beach.
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PLEASE HELP ME ILL RATE U 5 STARS PLEASEE
Ali and Leila are analyzing the following points. Ali thinks that most of the points are in
quadrant 2 because there are many x-values that are negative. Leila disagrees. Who is
correct?
(−3, 6), (−2, 4), (−3, −1), (−1, −6), (−4, −5), (−2, −7), (−5, −9), (−8, −9), (−12, −3), (2, 4),
(3, 2) and (4, 1).
Answer: Ali is correct because all of the negatives are mostly in quadrant 2.
Step-by-step explanation:
8 children have to share two thirds of a watermelon equally what part of the whole watermelon would each child get
Each child would get 1/12 th part of the whole watermelon.
For given question,
8 children have to share two thirds of a watermelon equally .
This means we need to equally distribute 2/3 of whole watermelon to 8 children.
To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.
(2/3) ÷ 8
= [tex]\frac{(\frac{2}{3} )}{8}[/tex]
We know that in 8 = 8/1
So, we rewrite the denominator of above fraction as,
[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]
This means, each child will get 1/12 part of the whole watermelon.
Therefore, each child would get 1/12 part of the whole watermelon.
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Find the missing Endpoint
A person invests 10000 dollars in a bank. The bank pays 6.5% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 29500 dollars?
The time it will take for the money in the bank to reach a total of 29500 dollars would be = 30 years.
How to calculate the time for the interest compounded annually?To calculate the time for the interest compounded annually the formula below is used:
Simple interest = principal× time×rate/ 100
Simple interest = principal× time×rate/ 100Simple interest = total amount in the bank - principal amount
= 29500 - 10000
= $19,500
Principal = $10000
Rate = 6.5%
Time = ?
From the given formula, make t that subject of formula;
T = $19,500 ×100/$10000×6.5
T = 1950000/65000
T = 30 years.
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Regression is a statistical technique developed by blaise pascal.
a. false.
b. true.
Blaise Pascal invented the statistical method known as regression. False. The author learned through the reading that adding a bathroom increases home prices more than adding a bedroom does.
What does a statistical regression mean?
A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.What does regression mean?
Regress, from which the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that, in this way, enables "going back" from muddled, challenging-to-interpret data to a clearer and more understandable meaningful model.Learn more about regression
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Use the expression -1/3-(-5/12) show an equivalent addition expression
The equivalent expression to -1/3-(-5/12) is 1/12.
How to calculate the expression?From the information, the expression given is -1/3-(-5/12).
Therefore, this will be computed thus:
= -1/3-(-5/12)
= - 1/3 + 5/12
= 5/12 - 1/3
= 5/12 - 4/12
= 1/12
Therefore, the equivalent expression to -1/3-(-5/12) is 1/12.
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solve the equation for the given variable. justify each step.
9x + 2y = 5; y
1/15s - 2/3t = -2; s
Answer: y=[tex]\frac{5-9x}{2}[/tex]
s=-30+10t
Step-by-step explanation:
9x + 2y = 5; y
9x-9x+2y = 5-9x
2y=5-9x
y=[tex]\frac{5-9x}{2}[/tex]
1/15s - 2/3t = -2; s
(1/15s - 2/3t = -2)*15 ==> Get rid of fraction by multiplying both sides by 15
s - 30/3 t=-30
s-10t=-30
s=-30+10t
What are the advantages of the edf scheduling algorithm over the rate-monotonic scheduling algorithm?
When compared to other scheduling methods for real-time systems, EDF is quite effective. It can maintain all work deadlines while increasing CPU utilization to around 100%.
What are the EDF scheduling algorithm and monotonic scheduling algorithm?The earliest deadline first (EDF) algorithm is a dynamic priority scheduling algorithm that is used in real-time systems.
EDF is an optimal algorithm, it will schedule a task set if possible. EDF is also independent of the task's period and can be used to schedule aperiodic tasks because it makes no assumptions about job periodicity. If two jobs have the same absolute deadline, choose one at random.
When compared to fixed priority scheduling techniques such as rate-monotonic scheduling, EDF can guarantee all system deadlines at higher loading. On non-preemptive uniprocessors, EDF is also an optimal scheduling algorithm, but only among scheduling algorithms that do not allow inserted idle time.
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