The maximum boxes of raisins a worker at a factory can pack in an hour is 120. The working hours for a worker is 8 hours and the production quota is 7500 boxes. Find the minimum number of workers the factory needs to hire such that the production exceeds the quota
Answers
120x8=960
960x8=7680
So the company would need to hire 8 people for 8 hours to exceed the quota of 7500
Related Questions
Tell whether x and y show direct variation. Explain your reasoning. x=y+2
Answers
Answer:
It does not show variation
Step-by-step explanation:
Given
\(x = y + 2\)
Required
Determine if there's direct variation between x and y
The general form of direct variation is:
\(y = kx\)
Make y the subject of formula in the given parameters;
\(x = y + 2\)
\(y = x - 2\)
Compare \(y = x - 2\) to \(y = kx\)
Since they are not of the same form, then the given equation do not show direct variation
Sort the cards so that each group adds up to 100%
Answers
Answer:
Add the 20%, 0.40 and the 40/100 chart
Add the 1/10, the 0.10, and the 80/100 chart
And finally, add the 6%, the 4/100 chart, and the 90/100
Need some help here looking for real answer
Answers
Answer:
B
Step-by-step explanation:
9x² - y² = 1
use the power rule to differentiate
\(\frac{d}{dx}\) (a\(x^{n}\) ) = an\(x^{n-1}\)
\(\frac{d}{dx}\) (y² ) = 2y \(\frac{dy}{dx}\)
\(\frac{d}{dx}\) ( constant ) = 0
differentiate both sides with respect to x
9 × 2x - 2y \(\frac{dy}{dx}\) = 0 , that is
18x - 2y\(\frac{dy}{dx}\) = 0
2 2/7 + 4 1/2 simplified
Answers
Answer:
2 2/7 + 4 1/2
Step-by-step explanation:
Exact form 95/14 for me
Mixed number will be 6 11/14
2 2/7 + 4 1/2 simplified fraction is 95/14.
To simplify the expression 2 2/7 + 4 1/2, we can convert the mixed numbers to improper fractions and then add them together.
Converting the mixed numbers to improper fractions:
2 2/7 can be written as (2 x 7 + 2)/7 = 16/7
4 1/2 can be written as (4 x 2 + 1)/2 = 9/2
Now we can add the fractions together:
16/7 + 9/2
To add fractions, we need to have a common denominator. In this case, the least common denominator (LCD) of 7 and 2 is 14.
Converting both fractions to have a denominator of 14:
16/7 x 2/2 = 32/14
9/2 x 7/7 = 63/14
Now we can add the fractions:
32/14 + 63/14 = (32 + 63)/14 = 95/14
Therefore, 2 2/7 + 4 1/2 simplified is 95/14.
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Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answers
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Which of the expressions are equivalent to the one below check all the apply (12 + 3) ÷ 5
Answers
The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5
Which of the expressions are equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
(12 + 3) ÷ 5
The above expression is a quotient expression
However, we can apply some algebraic properties
Take for instance;
12 + 3 can be expressed as 3 + 12
So, we have
(12 + 3) ÷ 5 = (3 + 12) ÷ 5
Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5
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Margot needs to gallons of paint for his living room he has 10 quarts of paint is that enough
Answers
Answer:
"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.
So if he's got 10 quarts, that means 2 and a half gallons.
Step-by-step explanation:
You’re involved in the design of a new facility. It is important for people to move between work stations quickly. Based on the figure below, how many feet would a person need to walk to get from Work Station 1 to Work Station 3?
Answers
Pythagoras' theorem states that a^2 + b^2 =
c^2
Put the following equation of a line into slope-intercept form, simplifying all fractions.
4y−6x=24
Answers
Answer:
\(y = \frac{3}{2}x + 6\)
Step-by-step explanation:
Rearranging the equation:
\(4y = 6x + 24\)
The coefficient of y has to be '+1' for the above equation to be considered as the slope-intercept form.
Dividing both sides of the equation by '4':
\(\frac{4}{4}y = \frac{1}{4}(6x + 24)\)
Expand the brackets by applying the Distributive Law:
\(\frac{4}{4}y = \frac{6}{4}x + \frac{24}{4}\)
\(y = \frac{6}{4}x + 6\)
Divide the numerator and the denominator present in the coefficient of x by the Highest Common Factor '2':
\(y = \frac{3}{2}x + 6\)
Which inequality represents all values of x for which the product below is defined?A.x 0B.x 6C.x -3D.x 6
Answers
Solution
Step 1:
Write the expression:
\(\sqrt{x\text{ - 6}}\text{ . }\sqrt{x\text{ + 3}}\)Step 2:
\(\begin{gathered} Apply\text{ the rule below:} \\ \sqrt{a}\text{ . }\sqrt{b}\text{ = }\sqrt{ab} \end{gathered}\)Step 3:
\(\begin{gathered} \sqrt{x\text{ - 6}}\text{ . }\sqrt{x\text{ + 3}} \\ \\ \sqrt{(x-6)(x+3)} \\ \\ For\text{ the function to be defined} \\ (x\text{ - 6\rparen\lparen x + 3\rparen }\ge\text{ 0} \end{gathered}\)Step 4:
\(x\le \:-3\quad \mathrm{or}\quad \:x\ge \:6\:\)Final answer
\(\begin{gathered} Option\text{ D } \\ x\text{ }\ge\text{ 6} \end{gathered}\)8x = 88
I can’t figure this out 10 points if you answer
Answers
Answer:
divide 88 by the number of x
88/8= 11
X = 11
Answer:
x=11
Step-by-step explanation:
8x=88
You use inverse operation which means you would divide 8 on both sides to isolate x on one side resulting in x=11
40 points!! What is the area of the quadrilateral with vertices at (2, -4), (4, -4), (2, 1), and (4, 1)?
Answers
Answer:Expand areaofthequadrilateralwithverticesat(2, - 4),(4, - 4),(2,1),and(4,1)
Step 1: Multiply (areaofthequadrilateralwithverticesat) * (2, - 4,)
Step 1.1: Multiply areaofthequadrilateralwithverticesat by each term in 2, - 4,
Step 1.1.1: Multiply areaofthequadrilateralwithverticesat * 2,
Group constants and powers by variable
(1 * 1)(a1 + 1 + 1 + 1 + 1 + 1r1 + 1 + 1 + 1e1 + 1 + 1 + 1 + 1o1f1t1 + 1 + 1 + 1 + 1h1 + 1q1u1d1i1 + 1 + 1l1 + 1w1v1c1s1)
a6r4e5oft5h2qudi3l2wvcs
Step 1.1.2: Multiply areaofthequadrilateralwithverticesat * -4,
Group constants and powers by variable
(1 * 1)(a1 + 1 + 1 + 1 + 1 + 1r1 + 1 + 1 + 1e1 + 1 + 1 + 1 + 1o1f1t1 + 1 + 1 + 1 + 1h1 + 1q1u1d1i1 + 1 + 1l1 + 1w1v1c1s1)
a6r4e5oft5h2qudi3l2wvcs
Step 1 answer = a6r4e5oft5h2qudi3l2wvcs + 1a6r4e5oft5h2qudi3l2wvcs
Group all like terms
2a6r4e5oft5h2qudi3l2wvcs
Step-by-step explanation:
PLEASE HELP! will give brainliest. The Goff family has a fish tank with different colors of fish.
8 black fish
5 white fish
3 gold fish
what is the ratio of white fish to gold fish
Answers
Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool. If she can locate all of the information, how many names will Amanda record in the generation that is 5 generations before her?
Answers
Answer:
Step-by-step explanation:
Amanda will record 32 names for the five previous generations.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.
We can write the series as -
Amanda
{M} {F}
{M} {F} {M} {F}
.
.
so on
We can write the sequence as -
2, 4, 8, ....
It is a geometric sequence. For n = 5, we can write -
a(5) = arⁿ⁻¹
a(5) = 2 x (2)⁴
a(5) = 2⁵
a(5) = 2 x 2 x 2 x 2 x 2
a(5) = 32
Therefore, she will record 32 names for the five previous generations.
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In the cafeteria, there are 50 seats, of which, 22 seats are empty and 28 seats are occupied.
What is the ratio of occupied seats to empty seats?
14:25
a
11:25
11:14
14:11
Answers
Answer
2
Step-by-step explanation:
PLSSS NEED HELP WILL GIVE CROWN
Answers
Add :
-1.25 + 2.5 = 1.25
For plotting the first one we first need to see the integer as here is 1 we will move to 1. Now, here it is given 0.25. Each line between 1 and 2 has 10 numbers gap so, as it 25 > 20 and 25 < 30. So, we should plot it between the 2nd and the 3rd line. As it is 5 it should be in between the line.
Refer the plotting for better identification
Add :
4.2 + (-0.4)
4.2 - 0.4
3.8
For plotting this one we will move to 3 than it has 8 < 10 so it should be plotted within the first dot.
Refer the attachment for better identification
Are the following ratios equivalent
16:48 and 112:336
Answers
Answer:
Yes
Step-by-step explanation:
pls answer will give brainliest answer
Answers
Answer:
∠A= ∠E, ∠H = ∠D
and the last one
Step-by-step explanation:
opposite angles are equal, alternative interior angle are equal.
Answer:
∠A = ∠E and ∠H = ∠D.
∠E = ∠H and ∠F = ∠G
Step-by-step explanation:
Angles A and E are one set of corresponding angles and angles H and D are another set. Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.
Angles E and H are one set of vertical angles and angles F and G are another set. Vertical angles are also always congruent to each other and thus equal. Therefore ∠E = ∠H and ∠F = ∠G
The times that customers spend in a book store are normally distributed with a mean of 39.5 minutes and a standard deviation of 15.9 minutes. A random sample of 60 customers has a mean of 36.1 minutes or less. Would this outcome be considered unusual, so that the store should reconsider its displays?
Answers
Answer:
Since |Z| = 1.66 < 2, this outcome should not be considered unusual.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, X is considered unusual.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
\(\mu = 39.5, \sigma = 15.9, n = 60, s = \frac{15.9}{\sqrt{60}} = 2.05\)
A random sample of 60 customers has a mean of 36.1 minutes or less. Would this outcome be considered unusual, so that the store should reconsider its displays?
We have to find Z when X = 36.1.
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{36.1 - 39.5}{2.05}\)
\(Z = -1.66\)
So |Z| = 1.66
Since |Z| = 1.66 < 2, this outcome should not be considered unusual.
which of the functions below could have created this graph?
A. F(x)=x^8+4x+20^2
B. F(x)=x^9+12x^8+x^7
C. F(x)=-x^6+x^3-x^2
D. F(x)=-x^7+4x^3-2x^2
Answers
Answer:
The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.
Step-by-step explanation:
Find measurements in yards and miles for distances by fil distance measured in miles distance measured in yards 1 A B 5 3,520 C D 17,600 What value goes in cell A?
Answers
The value that goes into cell 1 is 1760 yards
Here, we want to make a conversion from miles to yards
The equation linking both is given as;
\(y\text{ = 1760m}\)From the question, we have 1 mile mile which we want to convert to yards
What we will do simply is to substitute 1 for m in the given equation
Thus, we have;
\(\begin{gathered} y\text{ = 1760 }\times\text{ 1} \\ \\ y\text{ = 1760 yards} \end{gathered}\)Solve for x find the side
Answers
The length of x is 3.42cm
How to determine the value
To determine the value, we have to know the different trigonometric identities.
These identities are listed thus;
sinetangentcotangentsecantcosecantcosineFrom the information shown in the diagram, we have that;
Opposite side = x
The hypotenuse side = 10
The angle = 20 degrees
Now, using the sine identity, we get;
sin 20 = x/10
cross multiply the values, we get;
x = 10(0.3420
Multiply the values, we have;
x = 3.42cm
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Ha-yoon can dive to a depth of 7 meters. Ji-woo cannot dive as deep as Ha-yoon.
Write an inequality that discribes j, the depths Ji-woo can dive to in meters.
Answers
Based on the fact that Ji-woo cannot dive as deep as Ha-yoon can, the inequality that describes j is 7 > j.
What inequality describes j?j is the depth that Ji-woo is able to dive in meters.
It is said that Ji-woo cannot dive as much as Ha-yoon can and the question also makes it known that Ha-yoon can dive a depth of 7 meters.
Ji-woo therefore cannot dive to a depth of 7 meters but can dive anything below this depth.
The inequality to represent j is therefore:
7 > j
This shows that j is less than 7 meters.
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A donation of 50 rulers was given to Value Elementary School.The school had 10 times as many erasers donated.How many erasers were donated?
Answers
Answer:
500
Step-by-step explanation:
50*10=500
why do insects undergo moulting
Answers
Answer:
Hello!
______________________
It is for shedding their outer skin or exoskeleton. During the process, they grow and develop. This is controlled by hormones. If these hormones are not formed, their body will become deformed and they will die.
Step-by-step explanation: In many insects in the larval stages, about 5 nos, moulting occurs. The science of moulting is an intricate subject. Man also undergoes hormonal stages in life. But in case of insects, they shed outer skin, to enable them grow, leading to pupal stage and adult stage. Hormones are wonderful chemicals and they play a major role in biology.
Hope this helped you!
Answer:
it is to allow their bodies to expand under controlled and protected conditions/environments.
Hope that helps...
About 50% of babies born with a certain ailment recover fully. A hospital is caring for six babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.(a) Is the experiment a binomial experiment?⪠Yes⪠No(b) What is a success in this experiment?⪠This is not a binomial experiment.⪠Baby recovers⪠Baby doesn't recover(c) Specify the value of n.A. n = _____B. This is not a binomial experiment.(d) Specify the value of p.A. p = _____B. This is not a binomial experiment.
Answers
Answer:
a. yes it is a binomial experiment
b. success is that baby recovers
c. n = 6
d. p = 0.5
e. q = 0.5
f. X: 0,1,2,3,4,5,6
Step-by-step explanation:
a.
the answer is yes this is a binomial experiment. This is true because we have a finite number of babies and these babies are independent of each other. there are two possible outcomes. 1. baby recovers 2. baby does not recover.
b.
success: baby recovers
c.
n = number of babies born with ailment. n = 6
d.
p = 50% = 0.5
e.
q = 1-p = 1-0.5
q = 0.5
f.
possible values of X: 0,1,2,3,4,5,6
Fully simplify.
Answer:
10y¹(−9x²)
Answers
Answer:
respuesta es : -810 xy
Step-by-step explanation:
:)
A rectangle is 18.4 cm long and 16.3 cm wide. What is a) the perimeter of this rectangle and b) the area of this rectangle?
Answers
Answer:
Perimeter = 69.4 cm
Area = 299.92 square cm
Step-by-step explanation:
Given:
length of rectangle (l) = 18.4 cm
Width of rectangle (w) = 16.3 cm
a) Perimeter of rectangle
= 2( l + w)
= 2 ( 18.4+16.3)
= 2 * 34.7
= 69.4 cm
b) Area of rectangle = lw = 18.4*16.3 = 299.92 square cm
You entered a room, there are 34 people. You killed 30. How many people are left in the room?
Answers
Answer:
5
Step-by-step explanation:
4 people you didnt kill and that were already there and you
can i have brainliest if i got it right pls
Answer:
31
Step-by-step explanation:
there were 34 people and you killed 30. the other people would have gotten scared and ran away leaving you with 30 other bodies in the room
The histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited more than an hour but not more than 2 hours?
Answers
Answer:
9 people
Explaination:
the blue one
Answer:
it's 24 because if you add them you get 24
Step-by-step explanation: