The given information represents a regression analysis model for predicting sales based on the number of salespeople working. The model has an R-squared value of 93.7%, indicating that approximately 93.7% of the variability in sales can be explained by the number of salespeople. The standard error (s) is 1.44, which represents the average deviation of the observed sales values from the predicted values.
The regression equation is given by:
Sales = 8.576 + 0.8880 * Sales People
The coefficient of the constant term (8.576) represents the estimated sales when the number of salespeople is zero. The coefficient for the Sales People variable (0.8880) indicates that, on average, each additional salesperson is associated with an increase of 0.8880 in sales.
The regression analysis suggests that the number of salespeople has a strong positive relationship with sales. The model provides a good fit to the data, as indicated by the high R-squared value. The coefficients of the model can be used to estimate sales based on the number of salespeople working.
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Whereas the prevalence of depression in japan is only 3 percent in the united state the prevalence is almost six times that:_________
The likely factor that impacts the discrepancy in the prevalence of depression between Japan and the United States is sociocultural factors,
Here,
Sociocultural factors refer to the social and cultural influences that shape the behavior and experiences of individuals within a society. Japan and the United States have different social and cultural contexts, which can contribute to differences in mental health outcomes such as depression.
In Japan, there are certain sociocultural factors that may play a role in the lower prevalence of depression. These factors include a strong emphasis on collectivism, social support networks, close-knit communities, and cultural practices such as mindfulness and meditation.
Additionally, Japan has a more collective-oriented culture that places value on harmony and conformity, which may help reduce stress and contribute to better mental health outcomes.
On the other hand, the United States has a different sociocultural context characterized by individualism, higher levels of stress, and a focus on personal achievement. These factors can contribute to higher rates of depression in the United States.
It is important to note that while sociocultural factors are likely to play a significant role, other factors such as genetic differences, rates of stress, and self-esteem can also contribute to the prevalence of depression, but they may not be the primary reasons for the discrepancy mentioned in the question.
Thus option A is correct,
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Complete question:
Whereas the prevalence of depression in Japan is only 3 percent, in the United States the prevalence is almost six times that, at 17 percent. Which of the following factors likely impacts this discrepancy?
a. sociocultural factors
b. genetic differences
c. lower rates of stress in Japan
d. higher self-esteem among people in Japan
Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.
the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.
The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.
We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)
7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³
36 = (4/3)r³
27 = r³
r = 3 Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)
(dr/dt) = 7 / (4π(9))
(dr/dt) = 7 / (36π)
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The distance between 2 cities is 145 miles . A truck can cover this distance in 2.5 hours. A car is a.5 times as fast as the moving truck. How long does it take to meet, if they start moving simotanously
Answer:
25 minutes
Step-by-step explanation:
Given that:
Distance between 2 cities = 145 miles
Time taken by truck = 2. 5 hours
Speed of car = 5 times the speed of truck
Speed of truck = distance / time
Speed of truck = 145 / 2.5
Speed of truck = 58 mph
Speed of car = 5 * 58 = 290 miles per hour
Time it takes to meet :
Time taken = distance / combined speed
Time taken = 145 / (290 + 58)
Time taken = 145 / 348
Time taken = 0.4166666 hours
Time taken = 0.4166666 * 60 = 25 minutes
Louise has 3 and 3/4 feet of green yarn and 2/4 yards of white yarn to make an art project. How many more feet of green yarn than white yarn does Louise have? ASAP PLS
Louise has 2 1/4 feet more of green yarn than white yarn.
What is the fractions ?
A fraction is a way to represent a part of a whole or a ratio between two quantities.
To compare the amounts of green and white yarn, we need to express the amounts in the same units. Let's convert 2/4 yards of white yarn to feet, since the green yarn is already measured in feet.
1 yard = 3 feet
2/4 yard = 2/4 * 3 feet/yard = 1.5 feet
Now we can compare the amounts of green and white yarn in feet:
Amount of green yarn = 3 3/4 feet
Amount of white yarn = 1.5 feet
To find how many more feet of green yarn Louise has than white yarn, we can subtract the amount of white yarn from the amount of green yarn:
3 3/4 feet - 1.5 feet = 2 1/4 feet
Hence, Louise has 2 1/4 feet more of green yarn than white yarn.
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help! what is the missing length?
Answer:
Hello! answer: 30
Step-by-step explanation:
32 × 30 = 960 HOPE THAT HELPS!
pls help me find num 6 & 7
Number 6 is B. And Number 7 is C
Answer: The answer of number 6 is D. The answer of number 7 is D.
Step-by-step explanation:
For number 6, y=110° because they are vertical angles. x=y=70°=180°-110°
For number 7, 180°-63°=117°=a
what is my independent and dependent variables for 1 milliliter per 5 seconds
1 millimetre is dependent variable and 5 seconds are independent variable.
What is independent nd dependent variable?
In scientific research, variables are any property that can take on different values, such as height, age, temperature, or experimental results.
Researchers often manipulate or measure independent and dependent variables in research to test cause and effect relationships.
The reason is the independent variable. Its value is independent of other variables in your study.
The dependent variable is the effect. Its value depends on changes in the independent variable.
For example, you are designing a study to test whether changes in room temperature affect the results of a math test.
Your independent variable is room temperature. Change the temperature of the room, making half the participants cooler and the other half warmer.
Your dependent variable is math test scores. You measure the math skills of all participants using a standardized test and see if they differ based on room temperature.
Here given expression is 1 milliliter per 5 seconds.
That means length of any perticular thing change 1 millimetre per 5 seconds.
So, it is clear that length of that object is dependent on time.
Therefore, here 1 millimetre is dependent and 5 seconds are independent variable.
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Find the first five terms of the sequence: an = 2an – 1 – an – 2; a1 = 4; a2 = 3.
A) {4, 3, 2, 2, 2}
B) {4, 3, 2, 1, 0}
C) {4, 3, 5, 1, 9}
D) {4, 3, 4, 5, 6}
The first five terms of the sequence: an = 2an – 1 – an – 2; a1 = 4; a2 = 3. the correct option is B. {4, 3, 2, 1, 0}.
Given a recursive sequence an = 2an – 1 – an – 2 with a1 = 4, a2 = 3. We need to find the first five terms of the sequence.
To find the first five terms of the sequence, we can use the formula: an = 2an – 1 – an – 2. Using the formula, we havea3 = 2a2 – a1 = 2(3) – 4 = 2a4 = 2a3 – a2 = 2(2) – 3 = 1a5 = 2a4 – a3 = 2(1) – 2 = 0
Therefore, the first five terms of the sequence are {4, 3, 2, 1, 0}.
Hence, the correct option is B. {4, 3, 2, 1, 0}.Option A is incorrect since the fourth and fifth terms are not equal to 2.Option C is incorrect since it has random numbers. Option D is incorrect since it has an increasing sequence.
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Hi!! I hope you are having a good day. I’m having an exam rn and I need help, these are short answers.
1. The radius of a circle is 14 cm. If π is taken as 3.14; what is the circumference of the circle.
2. Calculate: 2 3/6 + 3/6 =
3. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
4. Razon is constructing a decagon shape motel; each side measuring 12.4 cm. As the contractor, calculate the perimeter of this motel.
5. Using the division method, find the prime factors of 42? State if this number is odd or even.
6. Complete the the number sequence 1, 3, 10, 21, 64, 129_____, 777.
7. Using the factor three method, list the prime factors of 68 *
8. Don- tae decided to ship a container to JM to stock his Supermarket. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
9. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter.
Answer:
1.) 88cm
2.) 3
3.)104
Step-by-step explanation:
1) circumference= 2πr
2×22/7×14 = 88cm
Calculate the concentrations of all species present in 0.72 M
NH3 (Kb=1.8×10−5).
Express your answers using two significant figures separated by
commas. Enter the concentrations of the species in t
To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.
NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:
NH3 + H2O ⇌ NH4+ + OH-
Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.
To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:
1.8×10−5 = x * x / (0.72 - x)
Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.
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5+x =n what must be true about any value of x if n is a negaitive number
Therefore , the solution of the given problem of equation comes out to be x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.
What is an equation?In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.
Here,
If n is a negative number and 5 + x = n, then x must be less than -5.
This is due to the fact that n would be greater than or equal to 5, which is not a negative number, if x were greater than or equal to -5, which would lead 5 + x to be greater than or equal to 0.
However,
if x is less than -5, then 5 + x will be less than 0, and n will be a negative number because n will be less than 5.
Therefore, x must be less than -5 for any value of x that causes 5 + x = n to be a negative number.
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HELP PLEASE!!! ILL GIVE BRAINLIEST if I can figure it out ... I'm not in highschool btw I'm in 6th
Write a number less than 50 that has at least six factors.
List at least six factors of the number you choose.
Answer:
12
Factors : 1,2,3,4,6,12
Answer:
the number can be 12.
1 x 12 = 12
2 x 6 = 12
3 x 4 = 12
Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
Plot the point and graph the quadrilateral.
Answer:
Step-by-step explanation:
Hhahahahahahahahhahahahahahaha
Does anyone know how to solve this?
The implicit relation represented by the equation x^3 = y^2 - 3x^2 is graphed below: a. Show that dy/dx = (3x^2+62)/2y b. (i) The graph of the relation x^3 = y^2 - 3x^2 has two horizontal tangents to the left of the origin. Find the equation of the horizontal tangent that lies below the x-axis
(ii) Find the x-coordinate of the point where this horizontal tangent intersects the curve again c. The graph of this relation has a single vertical tangent. Find it's equation.
a. dy/dx = (3x^2 + 6x) / (2y)
b. (i) The equation of the horizontal tangent below the x-axis is x = -2. (ii) The x-coordinate where the horizontal tangent intersects the curve again is x = -2.
c. The equation of the single vertical tangent is x = 0.
a. To find dy/dx, we can differentiate both sides of the equation x^3 = y^2 - 3x^2 with respect to x.
Taking the derivative of each term:
d/dx(x^3) = d/dx(y^2 - 3x^2)
Using the power rule and the chain rule:
3x^2 = 2y * dy/dx - 6x
Rearranging the equation and solving for dy/dx:
2y * dy/dx = 3x^2 + 6x
dy/dx = (3x^2 + 6x) / 2y
b. (i) To find the horizontal tangent below the x-axis, we need to find the x-coordinate where the slope dy/dx equals zero.
Setting dy/dx = 0 and solving for x:
(3x^2 + 6x) / 2y = 0
3x^2 + 6x = 0
x(x + 2) = 0
So the x-coordinate of the horizontal tangent is x = 0 and x = -2.
(ii) To find the x-coordinate where the horizontal tangent intersects the curve again, we substitute the x-values back into the equation x^3 = y^2 - 3x^2.
For x = 0:
0^3 = y^2 - 3(0^2)
0 = y^2
y = 0
For x = -2:
(-2)^3 = y^2 - 3(-2)^2
-8 = y^2 - 12
y^2 = 4
y = ±2
So the horizontal tangent intersects the curve again at the point (-2, 2) and (-2, -2).
c. To find the equation of the single vertical tangent, we need to find the x-coordinate where the derivative dy/dx is undefined.
In this case, we set the denominator of dy/dx equal to zero:
2y = 0
y = 0
So the vertical tangent occurs at the point (0, 0).
The equation of the single vertical tangent is x = 0.
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nine more than twice a number is is greater than negative eleven
The expression for nine more than twice a number is greater than negative eleven is 2M + 9 > -11.
Given,
Nine more than twice a number is greater than negative eleven.
We need to write an expression.
What do the mathematical terms mean?We have,
Twice of M = 2x M
Greater than = >
Negative of M = -M
3 more than M = M + 3
3 less than M = M - 3
We have,
Nine more than twice a number is greater than negative eleven.
Let the number be M.
Twice a number = 2M
Nine more than twice a number = 2M + 9
Greater than negative eleven = > -11
Now,
We have,
2M + 9 > -11
Thus the expression for nine more than twice a number is greater than negative eleven is 2M + 9 > -11.
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Fill in the blank with an appropriate word, phrase, or symbol(s). The number of regions created when constructing a Venn diagram with three overlapping sets is The number of regions created when constructing a Venn diagram with three overlapping sets is 8 3 6
The number of regions created when constructing a Venn diagram with three overlapping sets is 8.
In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.
When three sets overlap, there are different combinations of elements that can be present in each region.
For three sets, the number of regions can be calculated using the formula:
Number of Regions = 2^(Number of Sets)
In this case, since we have three sets, the formula becomes:
Number of Regions = 2^3 = 8
So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.
Each region represents a unique combination of elements belonging to different sets.
These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.
Therefore, the correct answer is 8.
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Pls help me with this
The function below represents the position f in feet of a particle at time x in seconds. find the average height of the particle on the given interval
f(x) = 3x^2 + 6x, [-1, 5]
Therefore, the average height of the particle on the interval [-1, 5] is approximately 33.67 feet.
To find the average height of the particle on the interval [-1, 5], we need to evaluate the definite integral of the position function f(x) = 3x^2 + 6x over that interval and divide it by the length of the interval.
The average height (H_avg) is calculated as follows:
H_avg = (1 / (b - a)) * ∫[a to b] f(x) dx
In this case, a = -1 and b = 5, so the average height is:
H_avg = (1 / (5 - (-1))) * ∫[-1 to 5] (3x^2 + 6x) dx
To evaluate the integral, we can use the power rule of integration:
∫ x^n dx = (1 / (n + 1)) * x^(n+1) + C
Applying this rule to each term in the integrand, we get:
H_avg = (1 / 6) * [x^3 + 3x^2] evaluated from -1 to 5
Now, we can substitute the limits of integration into the expression:
H_avg = (1 / 6) * [(5^3 + 3(5^2)) - ((-1)^3 + 3((-1)^2))]
H_avg = (1 / 6) * [(125 + 75) - (-1 + 3)]
H_avg = (1 / 6) * [200 - (-2)]
H_avg = (1 / 6) * 202
H_avg = 33.67 feet
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!!!!!!!!!PLEASE HELP!!!!!!!!
Solve algebraically.
16*4^(x-2) = 64^-2x
According to given information, answer is \(x = 2/3\).
The equation is \(16 * 4^{(x - 2)} = 64^{-2x}\).
Let's begin by simplifying both sides of the equation \(16 * 4^{(x - 2)} = 64^{-2x}\).
We can write \(64^{-2x}\) in terms of \(4^{(x - 2}\).
Observe that 64 is equal to \(4^3\).
So, we have \(64^{(-2x)} = (4^3)^{-2x} = 4^{-6x}\)
Hence, the given equation becomes \(16 * 4^{(x - 2)} = 4^{(-6x)}\)
Let's convert both sides of the equation into a common base and solve the resulting equation using the laws of exponents.
\(16 * 4^{(x - 2)} = 4^{(-6x)}\)
\(16 * 2^{(2(x - 2))} = 2^{(-6x)}\)
\(2^{(4 + 2x - 4)} = 2^{(-6x)}\)
\(2^{(2x)} = 2^{(-6x)}\)
\(2^{(2x + 6x)} = 12x\)
Hence, \(x = 2/3\).
Answer: \(x = 2/3\).
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1.Given the following:
D: μ≥1000;
E: μ<1000
D and E represent respectively.
Select one:
a. H(a) and H(0)
b. H(0) and H(a)
c. Type I error and Type II error
Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
How to determine D: μ≥1000; E: μ<1000?Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).
The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.
The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.
Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
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what happens to the ellipse when the eccentricity becomes zero
When the eccentricity becomes zero, the ellipse becomes a circle.
The eccentricity of an ellipse is a measure of how much it deviates from a circular shape. When eccentricity is zero, it means that the distance between the foci is zero and the ellipse becomes a circle.
A circle is a special case of an ellipse in which the eccentricity is zero. In a circle, all points on the perimeter are the same distance from the center. The eccentricity of a circle is always zero because the distance between the two foci is zero. As a result, a circle can be seen as an ellipse with an eccentricity of zero.In summary, when the eccentricity becomes zero, the ellipse becomes a circle.
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Please help me. Solve for x.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
\(\cfrac{x}{48}=\cfrac{48}{64}\implies \cfrac{x}{48}=\cfrac{3}{4}\implies 4x=144\implies x=\cfrac{144}{4}\implies \boxed{x=36}\)
A dairy farmer wants to mix a 75% protein supplement and a standard 25% protein ration to make 1800 pounds of a high-grade 70% protein ration. How many pounds of each should he use?
EXPLANATION:
We are given the following;
A farmer wants to make a 70% protein ration
The mix would have;
75% protein supplement
25% protein ration
1800 pounds mix of 70% protein ration
From these details we can make out the following;
\(\begin{gathered} Supplement=75\%\text{ of x pounds} \\ \text{Ration}=25\%\text{ of (}1800-x)pounds \\ \text{Mixture}=70\%\text{ of }1800\text{ pounds} \end{gathered}\)Take note that the mixture would be made up of protein supplements and protein rations. Hence, the total mix of 1800 pounds would be'
Supplements + Ration = Mixture
Where Supplements is x pounds, then Ration would be 1800 minus x to derive the total weight of Ration.
We can now simplify the equations we came up with and we'll have;
\(\begin{gathered} 75x+(25\lbrack1800-x\rbrack)=70\times1800 \\ 75x+(45000-25x)=126000 \\ 75x+45000-25x=126000 \end{gathered}\)\(\begin{gathered} 75x-25x=126000-45000 \\ 50x=81000 \end{gathered}\)Divide both sides by 50;
\(\begin{gathered} \frac{50x}{50}=\frac{81000}{50} \\ x=1620 \end{gathered}\)Therefore, for the protein supplement we would have;
\(\begin{gathered} 75\%\text{ of 1620}=0.75\times1620 \\ =1215 \end{gathered}\)Also, for the protein ration;
\(\begin{gathered} \text{Mixture}=\text{Supplement}+\text{Ration} \\ 1800=1215+\text{Ration} \\ 1800-1215=\text{Ration} \\ 585=Ration \end{gathered}\)ANSWER:
Protein Supplement = 1215 pounds
Protein Ration = 585 pounds
Two odd numbers are selected at random from integers 11 through 22. Find the
probability that the two numbers are multiples of 3 after replacing first? JUST
SHOW MATH!*
Probability that the two numbers are multiples of 3 after replacing first
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The odd integers from11 to 22 are
11,13,15,17,19,21
So there are 6 events
Out of these 6 numbers, 2 numbers (15,21) are multiples of 3.
One number out of these 2 numbers can be chosen in 2 ways.
Therefore, favourable number of elementary events = 2.
Required probability =2/6=1/3
Hence 1/3 is the probability that the two numbers are multiples of 3 after replacing first
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If a has n distinct prime factors and b has m distinct prime factors and n>m, then ab has at least n and at most n m distinct prime factors.
The given statement is true.
If a has n distinct prime factors and b has m distinct prime factors and n>m, then ab has at least n and at most n m distinct prime factors.
Prime factorization is a manner of expressing various as fabricated from its prime factors. A high number is a variety that has preciseness elements, 1 and the variety itself. As an example, if we take the number 30. We recognize that 30 = 5 × 6, however, 6 isn't always a prime factor.
To show whether more than a few is a top wide variety, first attempt dividing it by 2, and see if you get an entire variety. If you do, it can not be a prime number. In case you don't get an entire number, subsequent attempt dividing it through prime numbers: 3, 5, 7, 11 (nine is divisible via three) and so forth, constantly dividing by way of a top wide variety.
Every prime range can be written within the shape of 6n + 1 or 6n – 1 (except the multiples of high numbers, i.e. 2, 3, five, 7, eleven), where n is a herbal variety. To realize the prime number extra than 40, the below formulation may be used.
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The Upper Crust Bakery is ordering supplies. They expect to sell 8,000 loaves of bread next month. Their bread recipe, which makes 8 loaves, calls for 6 pounds of flour. How many tons of flour should they order for the next month?
Answer:
3 Tons on IXL
Step-by-step explanation:
6000 tons of flour should they order for the next month.
Given that, Upper Crust Bakery expect to sell 8,000 loaves of bread next month. Their bread recipe, which makes 8 loaves, calls for 6 pounds of flour.
We need to find how many tons of flour should they order for the next month.
What are sales?Sales are activities related to selling or the number of goods sold in a given targeted time period. The delivery of service for a cost is also considered a sale.
Based on the given conditions, formulate: 6×8000÷8
=48000/8=6000
Therefore, 6000 tons of flour should they order for the next month.
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Can anyone help me with my homework
Answer:
I use standard form
Step-by-step explanation:
I use the standard form.
Express in simplest radical form.
√17x
Answer:
this cant be simplified further
Step-by-step explanation:
17 is prime