please help me!
Please explain it​

9514 1404 393

Answer:

Step-by-step explanation:

1. Adding the numbers of those who study a given subject counts ...

That total is 40 +48 +44 = 132. When we subtract from this the total number of students, we get 132 -80 = 52, the number who study exactly 2 subjects plus twice the number who study all three.

From this, we can subtract the number who study exactly 2 subjects, leaving twice the number who study all three. 52 -32 = 20. So, 10 students study all three subjects.

__

2. Adding the numbers of those who study physics and another subject, we have 20+24 = 44. Subtracting twice the number who study all three gives the total of those how study only two subjects, one of which is physics. That total is 44 -20 = 24. So, of those 32 who study exactly two subjects, the remaining 32 -24 = 8 must be students who study only math and chemistry.

_____

It may be helpful to see the matrix of equations the problem statement describes. If we use the variables m, p, c, mp, mc, pc, mpc in that order to represent numbers of 1-subject, 2-subject, and 3-subject students, the augmented matrix looks like this.

  [tex]\left[\begin{array}{ccccccc|c}1&1&1&1&1&1&1&80\\0&1&0&1&0&1&1&40\\1&0&0&1&1&0&1&48\\0&0&1&0&1&1&1&44\\0&0&0&1&0&0&1&20\\0&0&0&0&0&1&1&24\\0&0&0&1&1&1&0&32\end{array}\right][/tex]

The solution is m=20, p=6, c=12, mp=10, mc=8, pc=14, mpc=10. The bold values are the ones this question is asking about.

The equation to represent the cost of renting the car, given the cost per week and the cost per mile, is y = 42 + 0.25x.

The total cost of renting the car at any given point, would be:

= Cost to rent per week + ( Cost per mile x Number of miles driven)

If we assume the number of miles driven is denoted by x, then the equation becomes :
= 42 + 0. 25 x

If we further take y to be the total cost, the equation then becomes :

y = 42 + 0. 25 x

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Answer:

74 ft^2

Step-by-step explanation:

Area of bottom: 4 x 5 = 20

Area of right side: 5 x 3 = 15

Area of left side: 15

Area of front: 4 x 3 = 12

Area of back: 12

Total: 74

Answer:

2340

Step-by-step explanation:

23,400 divided by 10 is how you find the percentage

Have a good day fam

Answer:

It is the case of dependent probability sl i think you need to multiply the two probabilities (not sure)

You would get something like this. This is because with the first kid, they can get either Heads or Tails, two possibilities.

After this, the second kid can also cause either Heads or Tails but they are building on what the first kid had already done, so four possibilities.

Thsi keeps on multiplying on and on by 2 the more kids who flip a coin.

The probability exists a branch of mathematics in which the events of investigations happening exist estimated.

b) 50% probability that Dan and randy will flip the same thing.

25% of heads and 25% of tails.

Probability exists the analysis of the circumstances of event of a result, which exists received by the ratio between favorable cases and possible cases.

b) 50% probability that Dan and randy will flip the same thing.

25% of heads and 25% of tails.

Complete question:

Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time.

a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.

b. What is the probability that Dan and Randy will each flip the same thing. (Either they will both flip 'heads' or they will both flip 'tails'.)

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The table is completed as shown below and total earnings of Lori is found.

What exactly is total earnings of a person?

The wages paid for both regular working hours and other working hours, including extra work or tips are referred to as total earnings.

Consider Tuesday

Hours worked = 4

Base salary = 4 × 7 ( $7 per hour given)

                     = $28

Tips = 18% of food sales = 0.18 × 300 = $54

Total earnings on Tuesday = 28 + 54 = $82

In the similar way the table can be completed as below.

1) The total earnings of Lori for the week = 82+138.9+218.5+173 = $612.4

2) Total earnings in a year = 52 × 612.4 = $31844.8

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Answer:

Total tax deduction per paycheck:

= Weekly pay * FICA tax rate.

Weekly pay $198.00:

= 198 * 7.65%

= 15.147

= $15.15

Weekly pay $340.00:

= 340 * 7.65%

= $26.01

Weekly pay $250.00:

= 250 * 7.65%

= 19.125

= $19.13

Answer:

Deduction for pay check $198 = $15.15

Deduction for pay check $340 = $26.01

Deduction for pay check $250 = $19.13

Step-by-step explanation:

Answer:

52.92

Step-by-step explanation:

Answer:117649

Step-by-step explanation:

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

Dividing by 5

Step-by-step explanation:

Answer:

C. 7 quarts 3 cups

Step-by-step explanation:

First you add 4 quarts, with 3 quarts to get 7 quarts. Then, you add 1 cup with 2 cups to get 3 cups.

Step-by-step explanation:

7 quarts 3 cups..........

The image point of (0, 4) is (0, -4).

The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at where the x- and y-axes cross perpendicularly.

The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.

Given points (0, 4)

to find image of the point (0,4) after a rotation of 180 degrees,

The initial coordinates (x, y) of a point become when we rotate it by 180 degrees around the origin (-x, -y).

So,

-0 is just 0 (since 0 is both negative and positive)

-(4) is -4

This makes our new point (0, -5).

Hence the image of point is (0, -4).

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Answer:

x = 1.732051

Step-by-step explanation:

The fitted values when x² = 3 are x = 1.732 or x = - 1.732 .

To find the fitted value when x² = 3, we need to take the square root of both sides of the equation.

√(x²) = √3

Since x² is a positive value, the square root of x² will be the positive and negative square root of 3.

x = ±√3

Therefore, the fitted values when x² = 3 are x = √3 and x = -√3.

√3 = 1.732

x = 1.732 or x = - 1.732

The fitted values when x² = 3 are x = 1.732 or x = - 1.732 .

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Answer:

51 ft

Step-by-step explanation:

Answer:

Answer is 51 feet or 51'..........

Answer:

#1

#2

#3

#4

#5

#6

Answer:

36

Step-by-step explanation:

permeter is solved by doing length+length+width+width so therefore you would do 13+13+5+5 which equals 36 as your answer

You can hire around 173 employees. Here's the calculation: $1,900 / ($11/hour * 40 hours/week) = 173.333..., which rounds down to 173.

Answer:

yes

Step-by-step explanation:

Answer:

[tex]\frac{36t^2}{6^t} ~~ Not ~Equivalent[/tex]

[tex]\frac{6t^2}{36^t} ~ ~Equivalent[/tex]   ✔︎

[tex]6^{t^2} *36^t ~~ Not~ Equivalent[/tex]

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

Hope it helps...

Have a great day!!.

Equations go into one of two categories: identities or conditional equations. An identity holds true for each value of the variables. A conditional equation is valid only for certain values of the variables.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true.

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Step-by-step explanation:

let Remus' money be = y

Aaron's = 5/7 y

3/5 * 5/7 y = 3/7 y

balance= 2/7 y

y - 2/7y = 2820

5/7 y= 2820

y = 2820*7/5= 564*7 = 3948

Answer:

Q2 : y= -2x+9

Q4: y= 2x+8

Rolling a number less than 1 on a standard six-sided die, numbered

from 1 to 6 is an impossible situation.

Suppose we have a coin with sides heads and tails then the occurrence of a head or a tail is a sure event.

If we observe the given options we can conclude that Rolling a number less than 1 on a standard six-sided die, numbered from 1 to 6 is an impossible situation as we couldn't get a number less than 1 on the die not possible right?

All the other options seem possible in some different ways but the first option is an impossible situation.

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Answer:

510 miles

Step-by-step explanation:

                                       A                     B

Rate                               80                  120

Time                                 x                     x - 2

Distance        

Distance = rate x time

A's distance

d = 80x

B's distance

d = 120(x -2)          

The distances equal each other when B catches up to A.  Set the equations equal to each other and solve for the time

80x = 120(x -2)  Distribute the 120

80x = 120x - 240  Subtract 120x from both sides

-40x = -240    Divide both sides by -40

x = 6

After 6 hours, B caught up with A.  Substitute 6 for t and find the distance. You can use A or B.    

d= 80x

d = 80(6)

d = 480

We need to add another 30 miles to get to the next town.

480 + 30 = 510

Answer:

QS = 12

Step-by-step explanation:

Hello!

We can see that QS is the sum of QR and RS, which is equal to 6x.

We can substitute the given values to solve for x, and then use that to find QS.

The value of x is 2. We can now find QS by substituting 2 for x in 6x.

QS = 12.

Answer:

A. 4

Step-by-step explanation:

3(4)=12

12=12

........

Answer:

6 hours

Step-by-step explanation:

The swim team trains 4 days every week, with 1/2 hour in the gym and 1 1/4 hours in the pool on Monday, Tuesday and Thursday. On Saturday, there is no gym, but the swim time is doubled, so the total swim time is 2 1/2 hours.

Therefore, the total time spent training each week is 6 hours.

1/2 hour in the gym plus 5 1/2 hours in the pool.

Answer: The swim team trains for 7 hours and 45 minutes a week.

Step-by-step explanation:

Since the swim team trains in the gym and the pool (collectively) on Monday, Tuesday and Thursday, subsequently we will be multiplying GYM TIME + POOL TIME, 3 TIMES to get the time taken for training on the three days i.e. 3 ( ½ + 1 ¼ ) and add twice the time taken in pool for Saturday i.e. 2(1 ¼ )

                                                                   = 3( ½ + 5/4) + 2(5/4)

                                                                   =31/4

                                = 7 ¾

Multiply ¾ with 60 as 1 hour = 60 minutes to get the answer in time format.

Firstly, convert mixed fractions into improper ones and find the final answer. Then, convert the final answer into Time format i.e. hours and minutes.

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