Keisha has 7 cups of flour to make rolls. Each batch of rolls uses 2 cups of flour.
How many batches can Keisha make?

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

patternpatternGreat!

The patteren is 1, 4, 9, 16,...

All these numbers are square numbers, which means

1 * 1 = 1

2 * 2 = 4

3 * 3 = 9

4 * 4 = 16

That means

1st term = 1^2

2nd term = 2^2

3rd term = 3^2

4th term = 4^2

so

nth term = n^2

The conjecture is

The pattern is 100%, 93%, 86%, ...........

Since 93% - 100% = -7%

Since 86% - 93% = -7%

Then this pattern is decreases by 7%

So it is an arithmetic sequence

Its rule is:

Where a is the first term

d is the constant difference

n is the position of the number

Since a = 100%

Since d = -7%

Let us substitute these values in the rule

Simplify it

an = 100% + (n)(-7%) + (-1)(-7%)

an = 100% + (-7n%) + (7%)

Add the like terms

an = (100% + 7%) - 7n%

an = 107% - 7n%

Let us check the rule

What is the 3rd term

n = 3

a3 = 107% - 7(3)%

a3 = 107% - 21%

a3 = 86% which is true

The marginal product of labor initially increases from 6 to 9, but then starts to decrease as more labor is added. Therefore, the firm experiences diminishing returns to labor when it hires a third laborer.

Diminishing returns to labor occur when the marginal product of labor (i.e., the additional output produced by adding one more unit of labor) decreases as more labor is added. We can calculate the marginal product of labor for each level of labor as follows:

1 laborer: 6 units of output (marginal product = 6)

2 laborers: 9 units of additional output (total output = 15, marginal product = 9)

3 laborers: 10 units of additional output (total output = 25, marginal product = 10)

4 laborers: 9 units of additional output (total output = 34, marginal product = 9)

The law of diminishing marginal returns is a concept from economics that explains how the marginal output of a production process starts to decrease as the input goes up. It is also used to refer to a point at which output increases at a diminishing rate as more units of labor are added to a production process. This can also be called the point of decreasing marginal productivity.

To know more about the "diminishing marginal returns": https://brainly.com/question/13767400

#SPJ11

By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.

According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.

1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.

Know more about quadrilateral here:

https://brainly.com/question/29934440

#SPJ11

Answer:

4/3 minute

Step-by-step explanation:

You can just add up both numbers and simplify it: 5/6+3/6=8/6=4/6.

Answer: 12.5

Step-by-step explanation:

12.5 is the length of BC.

Here, we have,

given that,

In the diagram shown below, AC is tangent to circle o at A and to circle Pat C, OP intersects AC at B, OA = 5, AB = 5, and PC = 10.

now, we know that,

∠OAB and  ∠BCP are right angles, because of the tangents.

and, ∠OBA ≅ ∠CBP (vertical angles)

thus, we get,

ΔAOB ≅ ΔCBP, by AA rule.

so, we can set up the proportion:

10/4 = x/5

or, x = 12.5

Hence, 12.5 is the length of BC.

To learn more on tangent click:

brainly.com/question/13569562

#SPJ2

Answer:

D

Step-by-step explanation:

ed

Answer:

I am going to give this to someone and see if they can help!

Step-by-step explanation:

Answer:

The plotted dots connect to create a parallelogram with two sets of parallel lines in the second quadrant

Step-by-step explanation:

This might be a little tricky to explain but I will try my best.

A parallelogram is a four-sided plane rectilinear figure with opposite sides parallel.

The first pair of numbers is in the second quadrant the second set is also in the second quadrant a little bit up and to the right. The third set in the line a little up, the last set is again in the second quadrant and a little further down and near the middle.

Sorry if the answer isn't what you had hoped for, feel free to ask questions about it and I'll explain the best I can.

The utility’s percent change from 2010 to 2020 is a decrease of 4.07%

How many years are between 2010 and 2020?

There are 10 years in between 2010 and the year 2020, which means that the total decline over a period of 10 years is the annual decrease multiplied by 10.

Total decrease in 10 years=2.6*10

Total decrease in 10 years=26.0

Utility industry jobs in 2020=639.5-26.0

Utility industry jobs in 2020=613.5

The percentage change 2010-2020=(2020 jobs/2010 jobs)-1

The percentage change 2010-2020=(613.5/639.5)-1

The percentage change 2010-2020=-4.07%

Find out more about percentage change on:https://brainly.com/question/17308462

#SPJ1

Answer:

half of the area

Step-by-step explanation:

i am not sure

Answer:

b

Step-by-step explanation

Answer:

-25

Step-by-step explanation: the negative/ opposite of 25 is -25

the value of g is 12.8.

To solve the equation g / 4 = 3.2 and find the value of g, we can multiply both sides of the equation by 4 to isolate g.

By multiplying both sides of the equation by 4, we have:

( g / 4 ) * 4 = 3.2 * 4

This simplifies to :

g = 12.8

Therefore, the value of g is 12.8. In the original equation, dividing g by 4 yields a quotient of 3.2, confirming that g = 12.8 is the solution that satisfies the equation g / 4 = 3.2.

Learn more about equation here

https://brainly.com/question/3796795

#SPJ6

Answer:144

Step-by-step explanation: so if the width is a quarter of the length, then there are 4 parts to both length sides, plus another 2 parts ( one for each width side), 10parts total.  360/10=36, so 1 part equals 36 for the width, which multiplied by 4 is 144

Answer:

7

Step-by-step explanation:

he can choose 7 because 14 divided by 2 = 7

The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.

To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.

Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.

When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.

When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.

Since these events are independent, we can multiply the probabilities together:

P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².

Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:

P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².

For more such question on probability. visit :

https://brainly.com/question/251701

#SPJ8

Answer:

90x + 4

Step-by-step explanation:

This is the answer because:

1) You cannot add all the numbers because there are only two like terms, 35x and 55x

2) Since we only have two like terms, we have to add them. We will get 90x

35x + 55x = 90x

3) 4 is not a like term since there is no x next to it; therefore the answer is

90x + 4

Hope this helps!

Answer:

6.07

Step-by-step explanation:

I hope it helps!

Elsa can correct her mistake by informing that Carson's pumpkin weighs 1/2 pounds instead of 3/4 pounds.

Weight is a measure of the force exerted on an object due to gravity. It is the gravitational force acting on an object's mass. The weight of an object depends on its mass and the strength of the gravitational field it is in.

Weight plays a significant role in various fields such as physics, engineering, sports, and everyday life. It determines the force exerted by objects on surfaces, affects the performance of structures and vehicles, and is relevant in areas like weightlifting, aviation, and space exploration.

Given that Elsa pumpkin weighs 2/4 pounds and is 1/4 pound heavier than Carson's pumpkin.

Elsa thinks that Carson's pumpkin must weight 3/4 pound.

To find out how Elsa can correct her mistake, let's assume the weight of Carson's pumpkin to be x pounds.

It is given that Elsa's pumpkin weighs 1/4 pound heavier than Carson's pumpkin.

Therefore, Elsa's pumpkin weighs (x + 1/4) pounds. As per the question, Elsa thinks that Carson's pumpkin weighs 3/4 pounds.

But according to the information provided in the question, Elsa's pumpkin weighs (x + 1/4) pounds.

So, it can be inferred that: (x + 1/4) = 3/4⇒ x + 1/4 - 1/4 = 3/4 - 1/4⇒ x = 1/2

Therefore, Carson's pumpkin weighs 1/2 pounds which is different from what Elsa thought.

Therefore, Elsa can correct her mistake by informing that Carson's pumpkin weighs 1/2 pounds instead of 3/4 pounds.

To know more about weighs visit:

https://brainly.com/question/29676685

#SPJ11

Therefore, the probability that half of the six employees score more than 85 and half less is 0.5469.

To find the probability that half of the employees score more than 85 and half less, we can use the binomial distribution.

Let X be the number of employees who score more than 85 out of the 6 employees. Then, X follows a binomial distribution with n=6 and p=0.5 (since we want half of the employees to score more than 85).

To get half the employees to score more than 85, we need X to be either 2 or 3 (since there are only 6 employees). Thus, we want to find the probability P(X=2 or X=3).

Using the binomial probability formula, we get:

P(X=2 or X=3) = P(X=2) + P(X=3)

= (6 choose 2)(0.5)^6 + (6 choose 3)(0.5)^6

= 0.2344 + 0.3125

= 0.5469

To know more about probability,

https://brainly.com/question/27337047

#SPJ11

The number of cup of butter used to make 20 is 15.

What is simplification?

Simplification of expressions means rewriting the same algebraic expression with no like terms and in a compact manner. Making something simpler is making it less complex.

Given,

3 cups of butter = 4 batches

for 1 batch the cup of butter = 3/4

for 20 batch, the cup of butter = 3(20)/4

= 3*5

=15

Therefore, 15 cups of butter used.

To know more about simplification, visit:

https://brainly.com/question/24259931

#SPJ1

Wally would need  41.67 yards of fencing.

From the attached figure we can observe that the fencing to the back yard of his house would be rectangular.

Let us assume that the length of the fence is represented by l and width is represented by w.

Here, the back wall of Wally's house measures 15 yards.

15 yards = 45 ft

so, the length of the fence would be,

l = 5 + 45 + 3

l = 53 ft

and the width is 10 ft

The required fencing would be equal to the perimeter of this rectangle.

Using the formula for the perimeter of rectangle,

P = 2(l + w)

P = 2(53 + 10)

P = 125 ft

P = 41.67 yards

Thus, the required fencing = 41.67 yards

Learn more about the perimeter of rectangle here:

https://brainly.com/question/29595517

#SPJ1

Answer:

y=-3x-15

Step-by-step explanation:

Hi there!

We want to find the equation of the line that is parallel to the line y=-3x and passes through the point (-2, -9).

We want that line written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Parallel lines have the same slope, but different y intercepts.

In the equation y=-3x, -3 is taking the place of where m is. So -3 is the slope of y=-3x

It's also the slope of the line parallel to it.

So we can substitute -3 as m in y=mx+b. Hence,

y=-3x+b

Now we need to find b

As the equation passes through (-2, -9), we can use it to solve for b

Substitute -2 as x and -9 as y into the equation

-9=-3(-2)+b

Multiply

-9=6+b

Subtract 6 from both sides

-15=b

Substitute that value as b into the equation

y=-3x-15

Hope this helps!

Answer:

X=4

Step-by-step explanation:

3x-2y=8

x+y=6

multiply second equation by 2 so you can eliminate y

2(x+y)=2(6)

2x+2y=12

now add two equations together

first equation:                          3x-2y=8

modified second equation     2x+2y=12

added together eliminates y. 5x+0=20

                                                   X=4

Answer:

.

Step-by-step explanation:

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ4

Answer:

x = 0.625

Step-by-step explanation:

On the shorter sides, they increase by two (goes from two to four)

So, you can assume that the longer side on the bigger rectangle is equal to 12

16x + 2 = 12

subtract 2 on both sides

16x = 10

Divide by 16 on both sides

x = 0.625

You can check by

16(0.625) + 2 = 12

I hope this helps!!

Answer: d=44.49

Step-by-step explanation: if had three pairs of shoes the awser would be ,

Answer: $3.00

Step-by-step explanation:

Because you pay less of the flowers for 4.00 and it s a little bit more so $ 3.00 for flowers instead of $4