Summer exercises for 0.5 hour on Monday Wednesday and Friday each week. How many hours will she exercise in four weeks

Answers

Answer 1

Answer:

She will exercise for 6 hours in four weeks.

Step-by-step explanation:

Summer exercises for 0.5 hour on Monday, 0.5 hour on Wednesday, and 0.5 hour on Friday. There are 3 days where she exercises for 0.5 hour.

3 days X 0.5h = 1.5h each week

For four weeks, multiply the hours each week by 4.

1.5h X 4 weeks = 6h

Therefore Summer will exercise for 6 hours over the course of 4 weeks.

Answer 2

Answer:

6 hours

Step-by-step explanation:

We know that Summer exercises for 0.5 (Or a half) hour every day, three days a week (Monday, Wednesday, Friday). We need to found out how many hours she exercises in 4 weeks.

To solve this we first find out how many hours she exercises in one week. To do so, we set up an equation like this:

(Time exercising) x (# of days exercising) = (Hours spent exercising in one week)

Plug in the given numbers:

0.5 x 3 = 1.5 hours

If we know she exercises 1.5 (Or one and a half) hours in 1 week, we multiply this number by 4 to find out how many hours she exercises in 4 weeks. This can be shown in an equation like this:

1.5 x 4 = 6

So Summer will exercise for 6 hours in 4 weeks.


Related Questions

What is the probability of getting a number less than 7 on a standard six-sided die

Answers

Answer:

100%

Step-by-step explanation:

You cant get a number on a 6 sided die higher than 7.

The area of a rectangular field is 7050m^2. If the width of the field is 75m, what is its length?

Answers

Answer:

Step-by-step explanation: Area =length × width

7050m^2 = X× 75m

7050 =75X

Divide both sides by 75

7050÷75 =75÷75

74m= X

Suppose the two line segments in a coordinate plane one with a length of 120 units and other with a length of 240 units were both rotated 90 degrees about the origin and then translated 50 units up one of the resulting segments could have a length of...units.

Answers

In the image, the length of the segment will be 120 units.

Step-by-step explanation:

Whatever may be transformation, either rotation, reflection or translation, the length the line segment will not change.

Here one segment with 120 units and other segment with 240 units is rotated 90 degrees about the origin and then it is translated 50 units up, we will get the image of the segment with the same size.

In the image, the length of the segment will be 120 units.

100 POINTS!!!!

Which number should each side of the equation 2/3x=10 be multiplied by to produce the equivalent equation of x = 1/5?



−2/3


1/3


3/2


3

Answers

Answer:

2/3x = 10.....multiply both sides by 3/2 giving u :

x = 10 * 3/2  

x = 30/2 which equals 15

Step-by-step explanation:

So your answer is 3/2 or 32

The tree diagram represents an experiment consisting of two trials.

P(A and C) = [?]

Answers

Yo sup??

P(A)=0.5

P(C|A)=0.4

Therefore

P(A and C)=0.5*0.4

=0.2

Hope this helps.

The required probability is P(A and C) is 0.2 which is represented in the tree diagram.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The given tree diagram represents an experiment consisting of two trials.

The tree diagram represents an experiment consisting of two trials. In this case, the probability of event A and event C occurring is represented by the intersection of branches A and C in the tree diagram.

This probability can be calculated by multiplying the probability of each individual event together.

As per the given question, we have

P(A) = 0.5

P(C|A) = 0.4

So, P(A and C) = 0.5 × 0.4 = 0.2

Thus, the required probability is P(A and C) is 0.2

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April worked 1 1/8 times longer on her math project than Carl, he worked 5 3/4, how many more hours did April work? Please show how to get answer. Thank you

Answers

Answer:

[tex]\frac{23}{32}\ hours[/tex]

Step-by-step explanation:

step 1

Find out the number of hours worked by April on her math project

Multiply 1 1/8 by 5 3/4

so

[tex]1\frac{1}{8} (5\frac{3}{4})[/tex]

Convert mixed number to an improper fraction

[tex]1\frac{1}{8}=1+\frac{1}{8}=\frac{1*8+1}{8}=\frac{9}{8}[/tex]

[tex]5\frac{3}{4}=5+\frac{3}{4}=\frac{5*4+3}{4}=\frac{23}{4}[/tex]

substitute

[tex]\frac{9}{8} (\frac{23}{4})=\frac{207}{32}\ hours[/tex]

Convert to mixed number

[tex]\frac{207}{32}=\frac{192}{32} +\frac{15}{32} =6\frac{15}{32}\ hours[/tex]

step 2

How many more hours did April work?

Subtract the hours worked by Carl from the hours worked by April

[tex]\frac{207}{32}-\frac{23}{4}=\frac{207-8*23}{32}=\frac{23}{32}\ h[/tex]


You have 3 quarters, 7 dimes, and 5 nickles in your pocket. A coin is chosen at random. What is the BEST answer for the probability of drawing a quarter?
A) impossible
B) unlikely
C) very likely
D) certain

Answers

Answer:

B) Unlikely

Step-by-step explanation:

Your chance drawing a quarter is a low 20%

Answer:

B:Unlikely

Step-by-step explanation:

Because you have 7 dimes and 5 nickels so those ones would be more likely to be picked than the quarter but it is still possible.

If y = -x² + 14x + 7 , then x = 10 is a counterexample for which conjecture?

A.
y is always positive.
B.
y is always negative.
C.
y is a function of x.
D.
The graph of y is a parabola.

Answers

Answer:

The correct answer is B

Step-by-step explanation:

If we plug in x=10 to the equation, we get y=47

Since y is positive, A is not an counterexample

Since y is a function of x, C is not an counterexample

Since the graph of y is a parabola, D is not an counterexample

Hope this helped and mark as brainliest!

By definition,
|a + bi| =

Answers

Answer:

|z| = |a + ib| = [tex]\sqrt{a^{2} + b^{2}}[/tex].

Step-by-step explanation:

By the definition of complex numbers the modulus of any complex number z = x + iy is given by |z| = |x + iy| = [tex]\sqrt{x^{2} + y^{2}}[/tex].

Say for example, z = 3 + 4i is a complex number then

|z| = |3 - 4i| = [tex]\sqrt{3^{2} + 4^{2}} = 5[/tex]

In a complex plane modulus of a complex number z = x + iy means the distance of the point (x, iy) from the origin. (Answer)

Can you please explain how to do this
ANSWER ASAP!!!!!!!!!

Answers

x = 0,1

y = 0,-5

hope this helped  ___~ ~___

                                      0

\

Plz, I'm desperate for 5 answers. help me ASAP on the attachments I'll give everything I can, Brainly award, high ratings, thanks, everything, I need help! Please I need help!

Answers

Answer:

[tex]1.\ 8n+4\\\\2.\ 5x+13\\\\3.\ x+3\\\\4.\ x-6\\\\5.\ 4x+1[/tex]

Step-by-step explanation:

1.

[tex]Sum=2n+6+6n-2\\\\Sum=2n+6n+6-2\ \ \ \ \ \ \ \ (using\ commutative\ property\ of\ addition\ a+b=b+a)\\\\Sum=8n+4[/tex]

2.

[tex]Sum=3x+9+2x+4\\\\Sum=3x+2x+9+4\ \ \ \ \ \ \ \ (using\ commutative\ property\ of\ addition\ a+b=b+a)\\\\Sum=5x+13[/tex]

3.

[tex]Difference=(3x+5)-(2x+2)\\\\Difference=3x+5-2x-2\ \ \ \ \ \ \ [using\ distributive\ property\ -(a+b)=-a-b]\\\\Difference=3x-2x+5-2\ \ \ [commutative\ property]\\\\Difference=x+3[/tex]

4.

[tex]Difference=(4x+3)-(3x+9)\\\\Difference=4x+3-3x-9\ \ \ \ \ \ \ [using\ distributive\ property\ -(a+b)=-a-b]\\\\Difference=4x-3x+3-9\ \ \ [commutative\ property]\\\\Difference=x-6[/tex]

5.

[tex]Difference=(6x+2)-(2x+1)\\\\Difference=6x+2-2x-1\ \ \ \ \ \ \ [using\ distributive\ property\ -(a+b)=-a-b]\\\\Difference=6x-2x+2-1\ \ \ [commutative\ property]\\\\Difference=4x+1[/tex]

Black bears lose 1/5 of the body weight during hibernation. A black bear weighs 265 poundBlack bears lose 1/5 of their body weight during hibernation. A blackK Bear weighs 260 pounds. How much weight did it lose while hibernating

Answers

Answer:

52lbs

Step-by-step explanation:

Final answer:

To find out how much weight the black bear lost during hibernation, subtract the weight after hibernation from the weight before hibernation: 265 - 260 = 5 pounds.

Explanation:

To find out how much weight the black bear lost during hibernation, we can use the information that black bears lose 1/5 of their body weight during hibernation. We know that the black bear weighed 265 pounds before hibernation and weighs 260 pounds after hibernation. To calculate the weight loss, we subtract the weight after hibernation from the weight before hibernation: 265 - 260 = 5 pounds. Therefore, the black bear lost 5 pounds while hibernating.

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3(4x-5)+4(2x+6) simplify

Answers

Answer:

20+9

Step-by-step explanation:

Answer: 20x+9 (I THINK that’s the answer but I’m not completely sure so...)

Step-by-step explanation: (12x-15) + (8x+24)

12x+8x= 20x

-15+24 (or 24-15)= 9

20x+9

How many solutions y=x^2-10x+25

Answers

There are infinite solution of y.

Step-by-step explanation:

Given,

y = [tex]x^2[/tex] - 10x + 25

To find, the total number of solutions = ?

y = [tex]x^2[/tex] - 10x + 25

⇒ y = [tex]x^2[/tex] - 2(x)(5) + [tex]5^2[/tex]

⇒ y = [tex](x-5)^{2}[/tex]

There are infinite solution of y.

Thus, there are infinite solution of y.

A garden supply store sells two types of lawn mowers. The smaller mower costs $249.99 and the larger mower costs $329.99. If 30 total mowers were sold and the total sales for a given year was $8379.70, find how many of each type were sold.

Answers

19 small mowers and 11 large mowers are sold

Solution:

Let "a" be the number of small mowers sold

Let "b" be the number of large mowers sold

Cost of each small mower = $ 249.99

Cost of each large mower = $ 329.99

30 total mowers were sold

Therefore,

a + b = 30

a = 30 - b ------------- eqn 1

The total sales for a given year was $8379.70

Thus we frame a equation as:

number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70

[tex]a \times 249.99 + b \times 329.99 = 8379.70[/tex]

249.99a + 329.99b = 8379.70 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

249.99(30 - b) + 329.99b = 8379.70

7499.7 - 249.99b + 329.99b = 8379.70

80b = 8379.70 - 7499.7

80b = 880

Divide both sides by 80

b = 11

Substitute b = 11 in eqn 1

a = 30 - 11

a = 19

Thus 19 small mowers and 11 large mowers are sold

Paul's family drove 377 mi to the beach averaging 58 ​ mi/h ​ on the way there. On the return trip home, they averaged 65 ​ mi/h.

What was the total time Paul's family spent driving to and from the beach?


11.3 h

11.6 h

12.3 h

13 h

Answers

the answer is 12.3 hours

Answer:

12.3 hours

Step-by-step explanation:

So other person can get brainliest

What is 12 percent of 29

Answers

Answer:

3.48

Step-by-step explanation:

12%=0.12

0.12*29=3.48

Identify all the sets to which the number belongs. Choose from Rational Number, Irrational number, whole number, and integer. 1.256...
A. Rational number
B. Irrational number
C.Integer, and rational number
D. Whole number, Integer, and rational number

Answers

Answer:

The number 1.256 is  A)rational number.

Step-by-step explanation:

A whole number is a non-negative number without any digits behind the decimal. An integer is a set of negative and non negative numbers that don't have any digits behind the decimal.A number that can be shown as a fraction of two whole numbers is a rational number.And the numbers that are not rational are irrational numbers.Here, 1.256 is a fraction of whole numbers 1256 and 1000 , so it is a rational no.

                     [tex]\frac{1256}{1000} =1.256[/tex]

But since it has digits behind the decimal it is neither a whole number, or an integer.

Final answer:

The number 1.256... is a rational number because it can be expressed as a ratio of two integers. It is not an integer, whole number, or irrational number.

Explanation:

The number 1.256 repeated is a rational number because it can be expressed as the ratio of two integers, which fits the definition of a rational number as ratios of integers such as 2/1, 3/4, and so on.

Even though the decimal representation may appear to continue forever, if the pattern of digits repeats indefinitely, it is still rational.

This number is not an integer, whole number, or irrational number, so it does not belong to those sets. An integer is a whole number without any fractional or decimal part, positive or negative, including zero.

Therefore, the correct option that defines the sets to which the number 1.256... belongs is Option A: Rational number.

Write a phrase $3 more than four times the cost of a pretzel as an algebraic expession

Answers

Answer:

[tex]4x+3[/tex]

Step-by-step explanation:

Let

x ----> the cost of a pretzel

we  know that

The phrase" $3 more than four times the cost of a pretzel" is equal to multiply the cost of a pretzel x by 4 and adds the number 3

so

The algebraic expression is

[tex]4x+3[/tex]

Answer:

4p + $3

Step-by-step explanation:

more than= + (plus sign)

four times the cost of a pretzel= 4p

Remember 4 times cost of pretzel

times= multiplication sign

p=cost of pretzel

So: 4p + $3

The slide at the playground has a height of 6 feet.The base of the slide measured on the ground is 8 feet.what is the length of the slide

Answers

Answer: 10ft

Step-by-step explanation:

Using the Pythagorean theorem (a² + b² = c²) you would end up with an equation like this: 36 + 64 = 100. You would then square root 100 and the answer would be 10 ft

The time a projectile spends in the air can be modeled by the equation t² -t - 8 = 0, in which t represents the amount of time traveled, in seconds. Which of the following is equivalent to the equation t² - 2t - 8 = 0?
(t + 4)(t - 2) = 0
t -4)(t - 2) = 0
(t + 4)(t + 2) = 0
(t - 4) (t + 2) = 0

Answers

Answer:

(t - 4)(t + 2) = 0  

Step-by-step explanation:

The general formula for a quadratic expression is

y = ax² + bx + c

Your expression is

y = t² - 2t - 8 = 0

By comparison, we see that

a = 1; b = -2; c = -8

1. Find two numbers that multiply to give ac and add to give b.

In this case, find two numbers that multiply to give -8 and add to give -2.

It helps to list the factors of  -8.

They are ±1, ±2, ±4, and ±8

After a little trial and error, you should find the numbers -4 and +2.

-4 × 2 = -8, and -4 + 2 = -2)

2. Rewrite the middle term with those numbers

t² -4t + 2t - 8 = 0

3. Factor the first and last pairs of terms separately

t(t - 4) +2(t - 4) = 0

4. Separate the common factor

The common factor is t - 4.

(t - 4)(t + 2) = 0

what is the wavelength of an electromagnetic wave with a frequency of 135,000 Hz?​

Answers

Final answer:

The wavelength of an electromagnetic wave with a frequency of 135,000 Hz is approximately 2,222 meters. This can be calculated using the equation λ = c / f, with c being the speed of light and f the frequency of the wave.

Explanation:

The wavelength of an electromagnetic wave can be calculated from the frequency when we understand their relationship through the wave's speed. In the case of an electromagnetic wave, this speed is the speed of light (denoted by c), which is approximately 3.00 x 108 m/s. This relationship is expressed by the equation c = fλ, where f is the frequency and λ is the wavelength.

To calculate the wavelength (λ) from the frequency (f), we rearrange the equation to λ = c / f. Substituting 3.00 x 108 m/s for c and 135,000 Hz for f, gives λ = 3.00 x 108 m/s / 135,000 Hz. After performing the calculation, we find the wavelength to be approximately 2,222 meters.

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Final answer:

The wavelength of an electromagnetic wave with a frequency of 135,000 Hz is approximately 2,222 meters, based on the relationship provided by the equation c = fλ.

Explanation:

The wavelength of an electromagnetic wave is directly related to its frequency by the equation c = fλ, where 'c' is the speed of light in vacuum, 'f' is the frequency and 'λ' is the wavelength. In this equation, the speed of light 'c' is typically 3.00 × 108 m/s. Therefore, if we want to figure out the wavelength of an electromagnetic wave with a frequency of 135,000 Hz, we can rearrange the equation to solve for the wavelength: λ = c/f. Substituting the given values, we have λ = (3.00 × 108 m/s)/(135,000 s-1), which simplifies to λ = 2,222 m.

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Let n represent the position of a term in the sequence below.
8, 11, 14, 17, 20, 23,

Which algebraic expression can be used to find the nth term of the sequence

Answers

The  algebraic expression can be used to find the nth term of the sequence  is:

[tex]a_n = 5+3n[/tex]

Where, [tex]n\geq 1[/tex] and n is a positive whole number

Solution:

Given sequence is:

8, 11, 14, 17, 20, 23

Let us find the common difference between terms

11 - 8 = 3

14 - 11 = 3

17 - 14 = 3

20 - 17 = 3

23 - 20 = 3

Thus the common difference between successive term and previous term is constant

Thus this is a arithmetic sequence

The formula for nth term term of arithmetic sequence is given as:

[tex]a_n = a_1+(n-1)d[/tex]

Where,

[tex]a_n[/tex] is the nth term of sequence

[tex]a_1[/tex] is the first term of sequence

d is the common difference between terms

Here in this sequence, 8, 11, 14, 17, 20, 23

[tex]a_1 = 8\\\\d = 3[/tex]

Therefore,

[tex]a_n = 8+(n-1)3\\\\a_n = 8+3n -3\\\\a_n = 5+3n[/tex]

Where, [tex]n\geq 1[/tex] and n is a positive whole number

Thus algebraic expression can be used to find the nth term of the sequence is found

1|4)
4x + 3y = 4 4 (3.2) +
2X- $y = -28
20:0)
6x=

Answers

The solution to the system of equations is x = -2 and y = 4

How to solve the equation

To solve this system of equations using Cramer's rule, we need to first express the equations in standard form: Ax + By = C

According to the problem, we have the equations

4x + 3y - 4 = 0

6x = 8 - 5y.

This is the same as

4x + 3y = 4

6x + 5y = 8

The determinants required for Cramer's rule:

Coefficient matrix (D)

[tex]\[D = \begin{vmatrix} 4 & 3 \\ 6 & 5 \end{vmatrix} = (4 \times 5) - (3 \times 6) = 20 - 18 = 2\][/tex]

For Dₓ

[tex]\[D_x = \begin{vmatrix} 4 & 3 \\ 8 & 5 \end{vmatrix} = (4 \times 5) - (3 \times 8) = 20 - 24 = -4\][/tex]

For D y

[tex]\[D_y = \begin{vmatrix} 4 & 4 \\ 6 & 8 \end{vmatrix} = (4 \times 8) - (4 \times 6) = 32 - 24 = 8\][/tex]

Using Cramer's rule:

[tex]\[x = \frac{D_x}{D} = \frac{-4}{2} = -2\][/tex]

[tex]\[y = \frac{D_y}{D} = \frac{8}{2} = 4\][/tex]

complete question

Solve the following simultaneous equations using Cramer's rule.

4x + 3y - 4 = 0

6x = 8 - 5y

solve for x: 3(9-8x-4x)+8(3x+4)=11

Answers

Answer:

x=4

Step-by-step explanation:

3(9-8x-4x)+8(3x+4)=11

Subtract  4 x  from  − 8 x

3 ( 9 − 12 x ) + 8 ( 3 x + 4 ) = 11

Distribute

27 − 36 x + 24 x + 32 = 11

Simplify

− 12 x + 59 = 11

Subtract 59 to both sides

− 12 x = − 48

Divide by -12

x=4

The sum of two numbers is 30 and their difference is 12 find the 2 numbers

Answers

Answer:

The two numbers are 21 and 9

Step-by-step explanation

(15+6) minus (15-6) gives a difference of 12

21- 9 = 12

Write an algebraic expression half the quantity of X plus Y?

Answers

It could be: X • 1/2 + Y
Or: X/2 + Y

Final answer:

The algebraic expression for half the quantity of X plus Y is (1/2) × (X + Y) or (X + Y) / 2.

Explanation:

To write an algebraic expression for half the quantity of X plus Y, you start by adding X and Y together. This can be represented as (X + Y). To find half of this quantity, you multiply the sum by 1/2 or divide by 2. Therefore, the algebraic expression that represents half the quantity of X plus Y is (1/2) × (X + Y) or (X + Y) / 2.

Y=|3x-3|-9 use x-values to find solution -1,0,4

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangular garden is 110ft. The length is 5 ft greater than the width. Find the length and width.

Answers

P = perimeter

L = length

W = width

Formula for the perimeter of a rectangle = L + L + W + W  or  P = 2L + 2W

You know:

P = 110ft

L = W + 5  [length is 5ft greater than the width]

So plug this into the formula:

P = 2L + 2W             Substitute/plug in (W + 5) for L

110 = 2(W + 5) + 2W           Distribute/multiply 2 into (W + 5)

110 = (2)W + (2)5 + 2W

110 = 2W + 10 + 2W       Combine like terms (2W + 2W)

110 = 4W + 10       Subtract 10 on both sides

110 - 10 = 4W + 10 - 10

100 = 4W     Divide 4 on both sides to get "W" by itself

[tex]\frac{100}{4}=\frac{4W}{4}[/tex]

25 = W        Now that you know the width, plug it into the equation for length

L = W + 5       Plug in 25 for W

L = 25 + 5

L = 30

L = 30 ft

W = 25 ft

PROOF

P = 2L + 2W

110 = 2(30) + 2(25)

110 = 60 + 50

110 = 110

in the equation 3/4(x+8)=9 ,what does x equal

Answers

Answer:

x=4

Step-by-step explanation:

The given equation, the value of x is :

Solving the equation

        [tex]3/4(x+8)=9\\0.75(x+8)=9\\0.75x+6.00=9\\0.75x=3\\x=3/0.75\\x=4[/tex]

The value of x is 4 .

     

 

Other Questions
You can calculate the return on equity of any investment that consists of one cash inflow and outflow using the zero coupon bond approach.O True O False A pharmaceutical company announces that it has received Federal Drug Administration approval for a new allergy drug that completely prevents hay fever. The consensus analyst forecast for the companys earnings per share (EPS) is $4.50, but insiders know that, with this new drug, earnings will increase and drive the EPS to $5.00.What will happen when the company releases its next earnings report? The PCI sound card in your computer has stopped working. You decide to use the motherboard's integrated sound until you can replace the PCI sound card. After removing the PCI sound card and powering on the computer, you have no sound, and the built-in sound card does not show up in Device Manager. Which should you do to solve the issue? So I work at a welding shop,I cut alot of metal,if I cut a 17ft piece of metal and I need to punch 8 holes in it,how can I figure out how far apart each hole needs to be from each other so they can be even A line passes through (5,3) with a slope of 3/5. Plot 3 points on this line 14 divided by 0.5 equals What is a initial population for an exponential function represented in an equation that represents the function? What happened to soldiers that lived in the trenches?A) They played football with soldiers from the other side.B) They were flooded with rain and had to deal with lice and rats.C) They got lost in the trenches while pushing the German soldiers back onto French land.D) They were able to use no-mans land to set traps for animals that were interfering with fighting. Carl Jung is to ____, as Karen Horney is to ____. a.id psychology; Oedipal conflictb.inferiority; the shadowc.animus; ego psychologyd.archetypes; basic anxiety 10x+4y+ 12z=120 11x +77y =220 8x +2y +32z =160 The customer journey has become more complex, requiring a dedicated bidding strategy. Google's solution is automated bidding. How can automated bidding benefit advertisers? (Choose two.) Select All Correct Responses a. Allows advertisers to serve ads only at specific times. b. Guarantees reduced conversion costs for advertisers. c. Uses machine learning to set bids, which saves time. d. Allows advertisers to bid only for clicks from a specific group. e. Is auction-specific to increase the chance for conversion. The company employs a single employee who works all five weekdays and is paid on the following Monday. The employee works the entire week ending on Friday, December 30. The employee earns $800 per day.\ Complete the necessary adjusting entry by selecting the account names and dollar amounts from the drop-down menus. Compare the accomplishments of Tunka-Menin, Mansa-Musa, and Askia Muhammad. What specific reforms did each ruler implement? (9x 8) /x + 10)(x+2) solve the proportional equation 3/m-2 = 7/m+2 Recommend sensors for each of the applications below. Multiple sensors may be needed. Indication how the sensor will be used; if it is active or passive, exteroceptive and proprioceptive; and detail any important characteristics when selecting the sensor. A Gift for You makes floral arrangements and fruit baskets. The small business has a maximum of 40 hours per week available in the assembly department and a maximum of 10 hours per week in the packaging department. Each floral arrangement takes 20 minutes to assemble and 6 minutes to package. Each fruit basket takes 15 minutes to assemble and 2 minutes to package. The profit for each floral arrangement is $50 and the profit for each fruit basket is $35. The company wants to maximize their profit.a. Set up the linear programming problem by writing the objective function as well as the system of constraints. b. How many floral arrangements and fruit baskets must be sold to maximize profit? c. What is the maximum profit? Let x the number of floral arrangements and y the number of fruit baskets.Give the objective function a. Max P= 50x+ 35y b. Max P= 20x + 6y c. Min P= 15x+2yd. Max P= 35x +20ye. Min P= 35x+20yGive a constrainta. 20x+ 6y How are the words consume and fill alike The 5th grade is getting a special lunch to celebrate the end of first grading period.The cafeteria manager is planning to buy 0.3 pound of turkey for each student. If turkey is on sale for $0.79 per pound, what will it cost to give turkey to 100 students. Investments, Inc., began by issuing common stock for cash of $260,000. The company immediately purchased computer equipment on account for $116,000. 1. The following T-accounts of SeventhSeventh Investments, Inc. have been opened for you: Cash, Computer Equipment, Accounts Payable, and Common Stock. Record the first two transactions of the business directly in the T-accounts without using a journal. 2. Show that total debits equal total credits.