The simplification of the fraction would be;
[tex]= \frac{350g}{1kg}[/tex]
[tex]= \frac{350g}{1000g}=\frac{7}{20}g= 0.35g[/tex]
What is fraction?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.
In a simple fraction, both are integers.
A complex fraction has a fraction in the numerator or denominator.
In a proper fraction, the numerator is less than the denominator.
Explanation of the answer:
Given that :
350g/1kg
Firstly we convert kilogram into gram:
1 kg = 1000 g
The mass m in grams (g) is equal to the mass m in kilograms (kg) times 1000:
m(g) = m(kg) × 1000
So the given values are changes into:
[tex]\frac{350g}{1000g}\\[/tex]
[tex]= \frac{7g}{20g}[/tex](divide numerator and denominator by 50)
[tex]\\=0.35g[/tex]
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13 is 6 1/2% of what number?
Answer:
200
Step-by-step explanation:
if a factory can make 600 nails every 3 minutes, how long would it take to make 27,000 nails?
Answer:
2 hours 15 minutesStep-by-step explanation:
Conditions Given:A factory makes 600 nailsFor making 600 nails the factory takes 3 minutesTo Find:Time taken by the factory to make 27000 nailsSolution:Given,
No. of nails the factory makes = 600
Time taken by the factory to make 600 nails = 3 minutes
So,
Time taken by the factory to make 1 nail = [tex]\frac{3}{600}[/tex] minutes
∴ Time taken by the factory to make 27000 nails
= ( [tex]\frac{3}{600}[/tex] × [tex]27000[/tex] ) minutes
[On simplifying]= ( [tex]\frac{1}{2}[/tex] × [tex]270[/tex] ) minutes
[On further simplifying]= 135 minutes
Or,
As we know , [ 1 minute = [tex]\frac{1}{60}[/tex] hour]
So, 135 minutes = [tex]\frac{135}{60}[/tex] hours
[On simplification]= 2.25 hours
Now, [1 hour = 60 minutes]
0.25 hours = [tex]\frac{1}{4}[/tex] hours
= [tex]\frac{1}{4}[/tex] × 60 minutes
= 15 minutes
Hence,
The time taken by the factory to make 27000 nails is 2 hours 15 minutes (Ans)
Answer:
2.25 hours or 2 hours 15 minutes
Step-by-step explanation:
600 nails / 3 minutes = 200 nails / minute
27,000 nails / 200 nails/minute = 135 minutes
1 hour = 60 minutes
135 minutes × 1 hour / 60 minutes = 2.25 hours
2.25 hours = 2 hours + 0.25 hours × 60 minutes/hour = 2 hours 15 minutes
Answer: 2.25 hours or 2 hours 15 minutes
What would the final cost be
for a trick or treat bucket that
originally costs $3.00 if you
have a coupon for 10% off and
you have to pay tax of 7.5%?
Answer:
4.73
Step-by-step explanation:
10% is 10
so, you have to multiple 3×.10=.30
3-.30=2.70
2.70×.75 because 7.5% is .75
that is 2.0250 and then you have to add 2.0250 with 2.70 that is 4.7250 and if you round it. It is 4.73
Hope that works
heidi's scores on her first 3 tests were 92, 95, and 86. what is the minimum score she mulst earn on her next test to maintain at least a 90 average
The inequality that needs to be solved is:
3t +270/ 6 ≥ 90.
let we consider that Heidi has 6 subjects in her school.
Therefore, She needs to average at least 90 on her three remaining tests to have at least a 90 overall average for all 6 tests.
Now,
To obtain an average first add up all the scores of the tests and then divide by the number of tests.
So far Heidi has taken 3 tests and we know the total number of tests will be 6 so we will be dividing by 6 to get the average of all the score.
If we let each of the three remaining tests each be represent by t, then the sum of all the tests would be:
95 + 92 + 86 + t + t + t
or
273 + 3t
The average of these 6 tests can then be represented by:
3t + 273 / 6
And for her average to be at least 90 then she can get a 90 or more which is the same as ≥ 90
So the inequality that needs to be solved is:
[tex]\frac{3t + 273}{6}[/tex] ≥ 90
or, [tex]\frac{3 ( t + 91)}{6} \geq 90[/tex]
or, [tex]\frac{t + 91}{2} \geq 90[/tex]
Now, Heidi has to score :
t/2 ≥ 91
or, t/2 ≥ 90
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Compare the slope-intercept and point-slope forms of a linear equation.
It is possible to determine a line's direction and steepness by looking at its slope.
What is slope?Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
A line's basic formula in gradient intercept form is y=mx + b. It is rewritable in point-slope form.
When y-b is equal to m(x-0), the location is the y-intercept (0,b).
The basic equation for a line with m=slope and (k,h) a position on the line is y-h=m(x-k).
By determining y and adding constant variables, the equation can be recast in slope-intercept form.
Y = mx-mk + h, where h-mk = b is the y-intercept in this form.
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Point B is graphed on the coordinate plane. Which ordered pair represents point B?
Help I need this for my homework
Answer:
6.6
Step-by-step explanation:
you subtract 6.6 from both sides to cancel it out on one side
Hopes this helps please mark brainliest
Sophie has bought some plants 36 violas 54 sweet peas and 72 fuchsias she wants to plant them in pots so that there is one type of plant in each pot and each pot has the same number of plants in it what is the maximum number of plants she could have in each pot
The maximum number of plants Sophie can have in each pot is 18.
Highest Common factor:
The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
Here it is given that Sophie plants 36 violas, 54 sweet peas, and 72 fuchsias. She wants to plant them in pots.
So we have to find the maximum number of plants she could have in each pot.
For that, we have to find the Highest common factor of the given different-different plant she has.
HCF of 36, 54, 72 = 18
So the maximum number of plants she can pot is 18.
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recipe requires 1 cup of sugar for every 6 cups of flour. How many cups of sugar will be required for 18 cups of flour?
Answer: 3 cups of sugar will be required for 18 cups of flour.
Step-by-step explanation:
1 cup of sugar - 6 cups of flour
2 cups of sugar - 12 cups of flour
3 cups of sugar - 18 cups of flour
I hope this make sense.
P and q started a business. the profits earned are divided in the ratio of their capital, 2:3. if p invested capital of $40,000, what was the capital invested by q?
The capital invested by q is $60,000 when p invested capital of $40,000.
According to the question,
We have the following information:
The ratio of the profits earned by by p and q is 2:3.
Amount invested by p = $40,000
Now, let's take the amount invested by p to be $2x and the amount invested by q to be $3x.
So, we have the following expression:
2x = 40000
x = 40000/2
x = $20000
Now, putting the value of x in 3x in order to find the amount invested by q:
3*20,000
$60,000
Hence, the amount invested by q is $60,000 when p invested capital of $40,000.
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Which conversion factors are used to multiply to 12 m/s to get kilometers per minute?
Select each correct answer.
1min60 s
1 min over 60 s
60 s1 min
60 s over 1 min
1000 m1 km
1000 m over 1 km
1 km1000 m
PLEASE HELP
To convert 12 m/s to get a kilometer per minute, we will need to multiply 12m/s by 1000 km/60 m.
1000 m over 1km 1 min over 60 sWhat are Unit Conversion and Conversion Factors?Unit conversion is the expression of the same function in a new unit of measurement. Time, for example, can be stated in minutes rather than hours, and distance can be translated from miles to kilometers/feet, or another length measurement. A conversion factor is a numerical equation that allows for the equal conversion of feet to another dimensional analysis unit.
A conversion factor is a number that is used to multiply or divide one set of units into another. When converting to an equivalent value, the proper conversion factor must be utilized. For example, to translate inches to feet, the correct conversion value is 12 inches equals 1 foot. The converting value for minutes to hours is 60 minutes equals 1 hour.
From the information given:
To convert 12 m/s to get a kilometer per minute, we will need to multiply 12m/s by 1000 km/60 m.
The conversion factors are:
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he management of an indoor shopping mall wants to survey its shoppers about the layout of the stores in the mall. at a specified time one day, they send a team of interviewers to survey 2 randomly selected customers in each of the 48 stores in the mall. this scenario describes
The scenario describes the stratified random sampling method .
There are many sampling techniques to collect sample from a given population such as Simple random sampling , Systematic Sampling , Cluster Sampling and so on . All of them vary in reliability , accuracy and efficiency .
Stratified Random Sampling : It is a method of sampling in which division of population is done into smaller subgroups known as strata .The strata are formed based on member's shared attributes or characteristics . It has numerous applications . It is also called proportional random sampling or quota random sampling .
Therefore , the scenario describes the stratified random sampling method .
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the p-value is 0.026, so we reject the null hypothesis and accept the alternative hypothesis. we conclude that this year the proportion of americans who support federal spending cuts to medicaid is less than 0.12 what type of error is possible here?
The proportion of Americans who support federal spending cuts to Medicaid is less than 0.12 leads to Type 1 error.
What is Type 1 error and Type 2 error?When we reject a true H₀ it is known as type 1 error. The probability of type 1 errors is inversely proportional to the amount of confidence you choose. There is a 5% possibility of receiving a type 1 error on a test with a 95% confidence level.
When we feel to reject a false H₀ it is known as type 2 error.
H₀:P= 0.12
Hₐ:P= 0.12
The question implies that we actually rejected the null hypothesis, while there is a chance that it is true and we are rejecting a true null hypothesis.
Therefore, it only suggests that there is a possibility that we will make a type 1 error.
Consequently, Type 1 error is the response to our query.
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9. A family ordered 2 large pizzas for lunch. They ate
7
-
8
of one pizza and of the other pizza. What
fraction of a pizza was left for dinner?
118
b. 1/2
d. 12/12
b.
e.
318
334
C.
718
00
10
Answer:
9/16
Step-by-step explanation:
15÷(3+13)2 i need help
Answer: 47
Step-by-step explanation:
the probability that a single radar station will detect an enemy plane is 0.65. (a) how many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station? stations (b) if four stations are in use, what is the expected number of stations that will detect an enemy plane? (round your answer to one decimal place.)
If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-,
(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane?The expected number of sucesses of a binomial variable is given by:If seven stations are in use, the expected number of stations that will detect an enemy plane is 4.55.learn more about probability click here:
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The function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
The quadratic function is
f(x) = [tex]-3x^2[/tex] + 18x + 3
The general form of the quadratic function is
y = [tex]ax^2[/tex] + bx + c
If a < 0, the quadratic function has maximum value
Here the value of a = -3
Therefore the function has maximum value.
Maximum value will be at x = -b / 2a
= -18 / 2(-3)
= -18 / -6
= 3
The maximum value of quadratic function will be (4ac - [tex]b^2[/tex]) /4a
Substitute the value in the equation
(4ac - [tex]b^2[/tex]) /4a = (4×-3×3 - 18×18) / 4×-3
= (-36 - 324 / -12
= -360 / -12
= 30
Hence, the function f(x) = [tex]-3x^2[/tex] + 18x + 3 has the maximum value of 30 at x = 3
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Urgent(Please answer in 2 days):In the figure below, ABCD is a parallelogram, AD=18 and DC=27. Segments overline{EG} and overline{FH} are perpendicular to sides of the parallelogram as shown, and EG=16. What is the area of the parallelogram?
The area of the parallelogram shown in this problem is of:
A = 432 units squared.
What is the area of a parallelogram?The area of a parallelogram of base b and height h is given by the multiplication of these two dimensions, as presented as follows:
A = b x h.
In this problem, these dimensions are given as follows:
Base: AB = DC = 27.Height: EG = 16.(the height is perpendicular to the sides of the parallelogram, forming an angle of 90º, as is the case in this problem).
Hence the area of the parallelogram, applying the multiplication of the obtained base and height, is calculated by the multiplication of the base and of the height given as follows:
A = 27 x 16 = 432 units squared.
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Answer:
432
Step-by-step explanation:
The area of a parallelogram is the product of a side length (the base) and the perpendicular distance between that side and the opposite side (the height). In this case, we can use (line)DC as a base and (line)EG as the matching height, so the area is equal to
(DC) ∙ (EG) = 27 ∙ 16 = 432.
in a survey, 19 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $40.7 and standard deviation of $9.2. estimate how much a typical parent would spend on their child's birthday gift (use a 80% confidence level). give your answers to 3 decimal places.
The parent spend on their child’s birthday gift is by using 80% confidence level is (43.5, 37.9)
A sample mean is the result of a chance experiment. When we sample a random variable, we get one of its possible values. A sample is a specific value. The random variable's probability distribution determines the possible values and the likelihood of each.
Given that,
Point estimate = sample mean = X = 40.7
sample standard deviation = s = 9.2
sample size = n = 19
Degrees of freedom = df = n - 1 = 19 - 1 = 18
At 80% confidence level
α = 1 - 80%
α =1 - 0.80 =0.2
α/2 = 0.1
t α/2,df = t0.1,18 = 1.330
The margin of error = E = t /2, df x (s/√n)
= 1.330 x (9.2/√19)
= 1.330 x 2.110
= 2.8
Margin of error = E = 2.8
The 80% confidence interval estimate of the population mean is,
X ± E
= 40.7 ± 2.8
= (43.5, 37.9)
Therefore The parent spend on their child’s birthday gift is by using 80% confidence level is (43.5, 37.9)
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if 0.36 x 4=1.4, how would your product be different if the factors were 0.36 and 0.4?
Answer:
0.14 (It would be divided by 10).
Step-by-step explanation:
Originally, our factors were 0.36 and 4. After modifying our problem, our factors are now 0.36 and 0.4. Comparing the original factors with the modified, we can see that there was no change done to 0.36. 4, on the other hand, has been divided by 10 ( [tex]0.4 = \frac4{10}[/tex] ).
We can rewrite [tex]0.36 \times 0.4[/tex] as [tex]0.36 \times 4 \times \frac1{10}[/tex]. Since we know 0.36 x 4 = 1.4, we can replace 0.36 x 4 with 1.4 in our modified problem, giving us [tex]1.4 \times \frac1{10}[/tex], which shows us that the product has now been divided by 10 as one of its factors was divided by 10.
Conclusion: Modifying one of the factors of a product using multiplication/division would also multiply/divide (respectively) the product by the same number.
help meeeeeeeeeeeeeeeeee please
Answer:
324 ft
Step-by-step explanation:
[tex]v=\sqrt{2gh}[/tex]
[tex]v^2=(\sqrt{2gh})^2[/tex]
[tex]v^2=2gh[/tex]
[tex]\frac{v^2}{2g}=\frac{2gh}{2g}[/tex]
[tex]\frac{v^2}{2g}=h[/tex]
[tex]\frac{144^2}{2(32)}=h[/tex]
[tex]\frac{20736}{64}=h[/tex]
[tex]324=h[/tex]
how many ways are there to chose from a team of eleven soccer players: a captain and one alternate captain?
The number of ways we can select a captain and one alternate captain from a team of eleven soccer players is 55
A permutation is an act of putting things or numbers in a particular order. Combinations are a method of selecting objects or numbers from a group of objects or collections without regard for their order.
Given that soccer player = 11
We have to find in many ways we can choose a captain and one alternate captain from a team of eleven soccer players
Out of 11 player, we have to pick one captain and one alternate captain
nCr ways
nCr = n!/r!(n-r)!
Here n = 11 and r = 2
= 11C2
= 11!/2!(11-2)!
= 11! / 2!.9!
= ((11x 10 x 9!)/2!.9!)
= (11 x 10)/2
= 110/2
= 55
Therefore the number of ways we can select a captain and one alternate captain from a team of eleven soccer players is 55
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simplify the following
Answer: 12⋅|x3|−512√⋅|3|
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The value of function is positive so the function have maximum value 30 at x=3.
In the given question we have to find the maximum or the minimum value of a function.
The given function is
f(x) = -3x^2+18x+3
To find the maximum or minimum value we firstly find the value of f'(x).
f'(x) = -6x+18
Now put f'(x)=0
-6x+18=0
Subtract 18 on both side we get
-6x=-18
Divide by -6 on both side we get
x = 3
Now finding the value of function at x=3
f(3)= -3*(3)^2+18*3+3
f(3)= -3*9+54+3
f(3)= -27+54+3
f(3)= 30
Since the value of function is positive so the function have maximum value 30 at x=3.
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ABC is and isosceles triangle. ACDE is a parallelogram. Find BCD
angle bcd is 140. see explanation in image
Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
Answer: Stacy is 12 years old
Step-by-step explanation:
36/4 = 12
which is a perfect square 20 13 25 24 14 10 7 11 8
HELPPPP PLSPLSPPSPPPLSPSLPLLSLPSLP
Answer: What do those numbers mean
Step-by-step explanation:
the number of homes sold by a realtor during a month has the following probability distribution: number sold probability 0 0.20 1 0.40 2 0.40 what is the probability that the realtor sells no more than one house during a month?
The probability that the retailer sells no more than one house in a month is 0.60.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are to happen. The analysis of events governed by probability is called statistics.
The given is a probability distribution. The probability density function or PDF of the probability is defined for the random variable x, where x ranges from 0 less than or equal to x less than or equal to 2 ie the range of x is from 0 to 2 with 0 and 2 inclusive.
x : 0 1 2
p(x): 0.20 0.40 0.40
The probability that the retailer sells no more than one house in a month is given by
P(x less than or equal to one) = P(0) + P(1)
=0.20 + 0.40 = 0.60.
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bruce bought two books,one book equal 4 dollals more than three times the other book they both equal 72
what is x
The value of x in the equation is $55 and this represents the cost of the expensive book
How to determine the value of x?The variable x is not defined in the question
So, we represent x as the more expensive book and y to represent the less expensive book
Also, from the question we understand that
One book = $4 more than three times than the other.Both books = $72The above statements can be interpreted to the following equations
x = 4 + 3y
x + y = 72
Substitute x = 4 + 3y in the equation x + y = 72
So, the equation x + y = 72 is represented as
4 + 3y + y = 72
Evaluate the like terms in the above equation
4 + 4y = 72
Collect the like terms in the above equation
4y = 72 - 4
Evaluate
4y = 68
Divide both sides by 4
So, we have
y = 17
Substitute 17 for y in the equation x = 4 + 3y to solve for x
x = 4 + 3 * 17
Evaluate the products
x = 4 + 51
Evaluate the sum
This gives
x = 55
Hence, the cost of the more expensive book is $55
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What is the equation of the line?
Answer:
x=0
Step-by-step explanation:
it is a straight line on the y axis making x=0
