It will take 12 hours for 15 men to do same job.
How to determine this?
When amount of hour ∝ 1/number of men
When H represent Hour
And M represent the number of men
k to represent the constant
H = k/M as it is inversely proportional
It takes 10 men 18 hours to repair a road
18 = k/10
k = 18 × 10
k = 180
How long will it take 15 men?
When k = 180
H = k/M
H = 180/15
H = 12 hours
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There are two solutions for the quadratic equation, 9x^2 + 4 = 0. Which of the choices below describes the solutions.
A. One real and one complex solution
B. Two real solutions
C. Two complex solutions.
Answer:
C. Two complex solutions.
Step-by-step explanation:
[tex]1. \ 9x^2+4=0;\\x^2=-\frac{4}{9};\\x=_-^+ \frac{2}{3} i;[/tex]
2. two complex solutions, the correct answer is C.
Find the measure of each marked angle. Assume the lines are parallel
The value of x is 33
What other external angles are there?
The alternate exterior angle theorem states that when two parallel lines cross, the exterior angles formed on either side of the transversal are equal. The distance between two intersecting lines or surfaces at or around their meeting point is referred to as the angle.
Since (2x - 30°) and (x+3)° are alternate exterior angles, they will be equivalent to one another.
(2x - 30)° = (x+3)°
Separate all similar phrases, then determine the value of x:
(2x - 30)° = (x+3)°
2x - x = 33 + 3
x = 33
Consequently, x will have the value of 33.
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Find the Difference.
3.) 99-5.87
Answer:
93.13
Step-by-step explanation:
8 9 10 This is to show the work
99.00
- 5.87
------------
93.13
A candy bar has 250 calories and a small
carrot has 15 calories. Write an algebraic
expression to find how many calories are in b
candy bars and c small carrots.
Answer:
250b calories in b, bars 15c calories in c, carrots
Step-by-step explanation:
Can i get help on these
Please notice that #1 there is boxes on them please dont count those or just dont mind them there not related
and number 2 is not answered yet it just shows that.
The expression that is similar to [tex]\frac{2^{3} . 2^{4} }{2^{12} }[/tex] is [tex]\frac{1}{2^{5} }[/tex]
What is indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable. For example, in number [tex]2^{4}[/tex], 4 is the index of 2. The plural form of index is indices. In algebra, we come across constants and variables. The constant is a value which cannot be changed.
In the expression [tex]\frac{2^{3} . 2^{4} }{2^{12} }[/tex] all the indices have a common base 2
From numerator [tex]2^{3}[/tex] x [tex]2^{4}[/tex] = [tex]2^{3 + 4}[/tex] which [tex]2^{7}[/tex]
so since the base at the numerator is same as that at the denominator we subtract their exponents
so that we have,
[tex]2^{7 - 12}[/tex] = [tex]2^{-5}[/tex]
which can further be written as [tex]\frac{1}{2^{5} }[/tex]
In conclusion the simplified form of the expression is [tex]\frac{1}{2^{5} }[/tex]
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Suppose the annual interest rate is r= 0.13. If you earn $27,000 next year, what is the approximate present value of this future income?
O $31,034
O $208
O $30,510
O $23,894
The approximate present value of this future income is $23,894.
What is interest?
Interest is a fee paid for borrowing money or other assets the amount borrowed is called the principal.
The interest is expressed as a percentage rate of the principal. for a given time interval.
What is percentage?
Percentages are essentially fractions where the denominator is 100.
What is Fraction?
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
Formula of interest rate r is given by ;
Present value of future income [tex]= \frac{Income}{(1 + Interest\ rate)}[/tex]
Present value of future income [tex]= \frac{\$27000}{1+0.13}[/tex]
Present value of future income = $23,894
so, the option D is correct.
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Opera tickets sold for $7.50 on the main floor and $5 in the balcony. The total revenue was $3250, and there
were 100 more main floor tickets sold than balcony tickets. Find the number of tickets sold.
Answer
500 tickets were sold
Step-by-step explanation:
Since 100 main floor tickets were sold, and each cost $7.50, we multiply it by 100 which equals $750, then since revenue was $3250, we do $3250 - $750 = $2500. Now that we got the extra tickets taken out of the way, time to find the rest. First, we add the prices of both tickets together, $7.50 + $5 = $12.50, then divide it by the remaining revenue, $2500 divided by $12.50 = 200 tickets, so 200 of each ticket were sold, + 100 main floor tickets. So now we do 300 main floor tickets + 200 balcony tickets, which is 500 tickets in total. Maybe you didn't read this but that's alright :)
100 points! Eva is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4?
Answer:
the answer is number 4 okay
Answer:
it will roll on one of the sides after you roll it
Find the value of X. The diagram is not to scale.
The value of x is given by 13.
The above angle of the triangle is vertically opposite to the angle 110.
So, the above not mentioned angle of triangle is = 110.
We know from Angle sum property of a triangle that the sum of all interior angles of a triangle is 180.
So, from the given figure we can write that,
110 + 57 + x = 180
167 + x = 180
x = 180-167
x = 13
Hence the value is, x=13.
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Add. State answer in simplest form. 1/3x + 5/7y
Answer:
[tex] \dfrac{7x + 15y}{21} [/tex]
Step-by-step explanation:
[tex] \dfrac{1}{3}x + \dfrac{5}{7} y = [/tex]
[tex] = \dfrac{7}{21} x + \dfrac{15}{21} y [/tex]
[tex] = \dfrac{7x + 15y}{21} [/tex]
What is the frequency of yellow
light with E= 3.4 x 10-19 J?
h=6.626 x 10-34 J. S
x 10²¹ Hz
[?] x 10⁰
Answer:
5.131 × 10¹⁴ Hz
Step-by-step explanation:
Planck relation
[tex]\large\boxed{E = hf}[/tex]
where:
E = Energy of the photon (J).h = Planck's constant (J · s).f = frequency of light produced (Hz).Given values:
E = 3.4 × 10⁻¹⁹ Jh = 6.626 × 10⁻³⁴ J · sSubstitute the given values into the formula and solve for f:
[tex]\implies 3.4 \times 10^{-19}=(6.626 \times 10^{-34})f[/tex]
[tex]\implies f=\dfrac{3.4 \times 10^{-19}}{6.626 \times 10^{-34}}[/tex]
[tex]\implies f=\dfrac{3.4}{6.626} \times \dfrac{10^{-19}}{10^{-34}}[/tex]
[tex]\implies f=0.5131\times 10^{(-19-(-34))}[/tex]
[tex]\implies f=0.5131 \times 10^{15}[/tex]
[tex]\implies f=5.131 \times 10^{14}[/tex]
Enter the unknown value that makes this statement true. 20% of blank is 48
Answer:
240
Step-by-step explanation:
20%×5=100
48×5=240
Answer:
20% of 240 is 48.
Step-by-step explanation:
Forming the equation,
→ (x/100) × 20 = 48
Now the value of x will be,
→ (x/100) × 20 = 48
→ (20x/100) = 48
→ x/5 = 48
→ x = 48 × 5
→ [ x = 240 ]
Hence, the answer is 240.
What is 2 sigma confidence interval?
Step-by-step explanation:
A two sigma confidence interval is created whenever our alternate hypothesis does not equal a value.
For example if
[tex]h_{o} = 0.36[/tex]
and
[tex]h _{a} ≠0.36[/tex]
We used a two sigma confidence interval because we are thinking a portion is either below 0.36 or above 0.36.
When solving these probability for the p value, multiply the inital result by 2 to get the p value
The 2 sigma confidence interval is a principle that states that a result will be considered significant if 95% of the population is two standards deviation from the average value.
What is the 2-sigma confidence interval?The two-sigma confidence level states that 95% of the values obtained in the results from a population should be within2 deviations from the mean. Anything below this acceptable percentage is not considered the 2-sigma confidence level.
If 68% of the score are within 1 standard deviation from the mean, then that will be considered the 1-sigma rule. If 99.7% of the score is 3 standard deviations from the mean then we can refer to that as the 3-sigma confidence interval.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!
4.2 x 10^8 is how many times the value of 2.1 x 10^2
A. 2 x 10^4
B. 2 x 10^6
C. 2.1 x 10^6
D. 2.1 x 10^4
4.2 x 10^8 is 2*10^6 times the value of 2.1 x 10^2 when division is performed.
How can the number of times can be calculated?The concept that will be used to solve the question is division operation.
We were given 4.2 x 10^8 which is greater than 2.1 x 10^2
The operation can be expressed as :
4.2 x 10^8 =( n *2.1 x 10^2)
where n = the number of times that 4.2 x 10^8 is greater than 2.1 x 10^2
Then make n the subject of the formular which is
n = 4.2 x 10^8/2.1 x 10^2
n = 2*10^6
Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.
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-7 + x/2 = -5 what does this equal to???????
Answer: This equation, when simplified would be x = 4
Step-by-step explanation:
That's what I believe it is
There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the
bag?
Number of winning tickets =7 and Number of losing tickets = 28. When there are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1:4
What is ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. For instance, a class has a 12:15 boy-to-girl ratio, whereas the part-to-whole ratio refers to the relationship between a particular group and the entire. For instance, five out of every ten people enjoy reading. As a result, the ratio of the part to the whole is 5: 10, meaning that 5 out of every 10 persons enjoy reading.Given: Total tickets = 35
The ratio of winning tickets to losing tickets = 1:4
Number of winning tickets = [tex]\frac{1}{1+4} *35[/tex]
[tex]\frac{1}{5} *35=7[/tex]
Number of losing tickets = [tex]\frac{4}{1+4} *35[/tex]
[tex]\frac{4}{5} *35[/tex]
4×7=28
Hence, Number of winning tickets =7 and Number of losing tickets = 28.
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A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=x²-440x+64,948. What is the minimum unit cost?
Do not round your answer.
Keddy and Miko had 1950 marbles altogether.
Keddy had 1032 fewer marbles than Miko.
How many marbles did Miko have?
Answer:
1491
Step-by-step explanation:
Based on the given conditions, formulate
Rearrange unknown terms to the left side of the equation
Calculate the sum or difference
Divide both sides of the equation by the coefficient of variable
Cross out the common factor:get the result
Name the property
if m = -2 then 8m = -16
Substitution property
Multiplication property
Transitive property
Division property
Answer:
Multiplication property
Step-by-step explanation:
Multiply each side by 8:
m=-2
m*8=8m
-2*8=-16
8m=-16
Simplify the ratio [tex]\frac{8 ft}{12 in}[/tex] Use the conversion 12 in. = 1 ft.
A. [tex]\frac{8}{1}[/tex]
B. [tex]\frac{2}{3}[/tex]
C. [tex]\frac{1}{18}[/tex]
D. [tex]\frac{96}{12}[/tex]
The answer is A ([tex]\frac{8}{1}[/tex])!
The simplified form of the ratio using the conversion 12 in = 1 ft as required in the task content is; Choice A; 8/1.
What is the simplified form of the ratio as given in the task content?It follows from the task content that the simplified form of the ratio 8 ft / 12 in is to be determined.
Since the given ratio whose simplified form is to be determined is; 8 ft / 12 in.
However, recall that according to the conversion; 12 in = 1 ft.
On this note, 8 ft = 8 × 12 in.
Therefore, the equivalent ratio can be written as;
(8 × 12in) /12in.
The required simplified ratio is therefore; 8/1.
Ultimately, the correct answer choice is; Choice A; 8/1.
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vn: Do What's Next ces start with the terms 2 and 8. he next two terms of the arithmetic sequence 2, 8, 2, 48. he next two terms of the geometric sequence 2, 8, o possible next terms of a sequence 2, 8, ric nor arithmetic. t
One possible pair of next terms: 0, 1
A second possible pair of next terms: 14, 32
What is arithmetic progression?
The difference between two successive words in an arithmetic progression sequence, often known as A.P., is always the same. The common difference is the term for the constant. It is a technique for calculation that has been used for centuries to get precise results for everyday calculations such as measurements, labelling, and other kinds of everyday calculations. The word "arithmos" in Greek, which simply means "numbers," is where the phrase first appeared.What is Geometric progression?
When one term is varied by another by a common ratio, the series is referred to as a geometric progression or sequence. When we multiply the previous term by a constant (which is non-zero), we get the following term in the sequence.The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.
The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.
Any pair of numbers can be used that is not (14, 20) or (32, 128).
The next two terms could be 0 and 1, or they could be 14 and 32.
2, 8, 0, 1 . . . is a sequence of no particular type
2, 8, 14, 32 . . . is a sequence of no particular type
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A pizzeria sells three sizes of pizza: small, medium, and large. The pizzas sell for $9, $13, and $15, respectively. One evening they sold 28 pizzas and received $320. If they sold 9 more small than large pizzas, how many of each size did they sell?
Answer:
Step-by-step explanation:
so if you find the quadratic formula of 3 and multiply it by 82 you get 16. Then if you add 16 and 9 you get 25 this means that they sold 67 large pizzas. Your welcome
Given: FC bisects ACD,
XACD is a straight angle
Prove: ACF is a right angle
If FC bisects ∠ACD and ∠ACD is a straight angles, then proved that the ∠ACF is a right angle
The ∠ACD is a straight angles
We know the angles on a straight line add up to 180 degree
Therefore,
The measure of angle ACD = 180 degrees
Here it is given that the line FC bisects angle ACD
Therefore, The angle ACF is equal to Angel DCF
Angle ACF = Angel DCF
Angle ACF + Angle DCF = 180 degrees
Then,
Angle ACF = Angel DCF = 90 degrees
Hence, if FC bisects ∠ACD and ∠ACD is a straight angles, then proved that the ∠ACF is a right angle
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please help, ill mark brainlyest
Answer:
x=14
Step-by-step explanation:
Lines RP and MQ intersect, creating 2 pairs of vertical angles. Vertical angles are congruent.
<RSQ and <PSM are vertical angles and therefore congruent
163=3x+9x-5
x=14
(11 - 2i) - (9 - 8i)
If 2 sweaters cost $18.72, how much would 6 sweaters cost?
Answer:
£56.16
Step-by-step explanation:
do 2 divided by 18.72 which is 9.36 then do 9.36×6 which is 56.16
h(x) = |x + 10|, find h(-17).
Work Shown:
h(x) = |x+10|
h(-17) = |-17+10|
h(-17) = |-7|
h(-17) = 7
-1 1/4 times 3 1/2 do any of y’all now this in its simplest form
Answer:
The solution is -35/8
Step-by-step explanation:
[tex] \sf - 1 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = \sf - \frac{4 \times 1 + 1}{4} \times \frac{2 \times 3 + 1}{2} \\ \\ = \sf - \frac{4 + 1}{4} \times \frac{6 + 1}{2} \\ \\ = \sf - \frac{5}{4} \times \frac{7}{2} \\ \\ = \sf - \frac{5 \times 7}{4 \times 2} \\ \\ = \sf - \frac{35}{8} \\ \\ = \sf - 4 \frac{3}{8} [/tex]
Suppose y varies inversely with x, and y=-3 when x=13 What is an equation for the inverse variation?
Answer:
y = - 39/xStep-by-step explanation:
Inverse variation equation:
y = k/x, where k- constant of variationGiven x = 13, y = - 3Find the value of k- 3 = k/13k = - 3*13k = - 39The equation is:
y = - 39/xAnswer:
y = -39/x
Step-by-step explanation:
Formula we use,
→ y = k/x
→ k = xy
Now the value of k will be,
→ k = xy
→ k = 13 × (-3)
→ [ k = -39 ]
Then the inverse equation is,
→ y = k/x
→ -3 = -39/13
→ [ y = -39/x ]
Hence, the answer is y = -39/x.
