9.086 minus 2.419 rounded to the nearest one

By applying set theory, we calculate that 40 students are enrolled in both mathematics and physics classes after excluding the 50 English students who cannot attend any other classes.

To find the number of students who have taken both physics and mathematics, we can subtract the number of English class students from the total because they cannot be in the group that takes both of the other two classes.

So, we have a total number of students who can take math or physics, which is 150 - 50 = 100 students.

Since there are 80 students in mathematics and 60 in physics, the maximum number could be 80 if every physics student also took mathematics.

But because we only have 100 students to distribute between the two subjects (excluding the English students).

The actual number of students who took both courses will be the total number for math and physics classes (80 + 60) minus the number of students who can take these classes, which gives us ;

140 - 100 = 40 students.

Therefore, the answer is 40 students have taken both physics and mathematics classes. This corresponds to choice a.

Answer:

[tex]w=-1[/tex].

Step-by-step explanation:

We have been given an equation [tex]2w-5(w+1)=3w+1[/tex]. We are asked the equation for w.

Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:

[tex]2w-5w-5=3w+1[/tex]

[tex]-3w-5=3w+1[/tex]

Subtract 3w from both sides:

[tex]-3w-3w-5=3w-3w+1[/tex]

[tex]-3w-3w-5=1[/tex]

Combine like terms:

[tex]-6w-5=1[/tex]

Add 5 on both sides:

[tex]-6w-5+5=1+5[/tex]

[tex]-6w=6[/tex]

Divide both sides by -6:

[tex]\frac{-6w}{-6}=\frac{6}{-6}[/tex]

[tex]w=-1[/tex]

Therefore, our required equation would be [tex]w=-1[/tex].

The following best describes the location of lake Eyre as it relates to sea level is -50. Therefore, option D is the correct answer.

Given that, Lake Eyre in Australia is approximately 50 feet below sea level.

Mean sea level is an average surface level of one or more among Earth's coastal bodies of water from which heights such as elevation may be measured.

Now, if the surface sea level is 0.

50 feet below sea level = 0-50=-50

The following best describes the location of lake Eyre as it relates to sea level is -50. Therefore, option D is the correct answer.

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Answer:

its a

Step-by-step explanation:

Gerry will spend $13.6 in two weeks

From the problem given:

Gerry spend $1.25/day on lunch

Fridays spend extra $0.55

How much Gerry will spend in two weeks?

In one week, there are 5 school days

4 days (Monday to Thursday) Gerry spend $1.25/day

1 day, Fridays, Gerry spends $1.25+$0.55 = $1.80

So, in one week Gerry will spend :

= [tex]\boxed {(1.25 \times4) + 1.80\ }\\ =\boxed {5+1.80\ }\\ =\boxed {6.8\ }[/tex]

In two weeks, Gerry will spend :

[tex]=\boxed {2 \times 6.8\ }\\ =\boxed {13.6\ }[/tex]

When we are multiplying decimal numbers, the process the same as multiplying whole numbers except for the placement of the decimal point in the answer. In multiplying we don't need to line up the decimal point.

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Answer: 51

Step-by-step explanation: A prime number is a number that is greater than 1 and it has two factors which are 1 and itself.

23 is a prime number because it has no other factors besides 1 and 23. In other words, there is no other number multiplied by a number than will equal 23 so we call it a prime number.

Answer:

[tex](x-1)(3x-5)[/tex]

Step-by-step explanation:

[tex]3x^2 - 8x + 5[/tex]

To factor it we use AC or splitting the middle term method

product is 3 times 5 is 15

Sum is -8

-3 times -5 is 15

-3 plus -5 is -8

Factors are -3 and -5

[tex]3x^2 -5x-3x+ 5[/tex]

Group first two terms and last two terms

[tex](3x^2 -5x)+(-3x+ 5)[/tex]

[tex]x(3x-5)-1(3x- 5)[/tex]

Factor out 3x-5

[tex](x-1)(3x-5)[/tex]

Answer: 6%

Step-by-step explanation:

If you turn 6% to a decimal (move it twice to the right) we get 0.06. If we multiply 0.06 and $750 we get $45, which is how much investment increased. Add $45 to $750 we get $795 ( which is the new value).

750×0.06= 45

45+ 750= 795

Answer:

The odds against winning the game is 3 to 1.

Step-by-step explanation:

*Probability states that it is the likelihood of something happening in the future.

*Its value lie between 0 and 1.

*complement of an event is that event that is not occurring .

Then, the probability of  Event A will not occur is denoted by P(A').

Given:

The probability of winning a particular game at game place is [tex]\frac{1}{4}[/tex]

or we can write this as P(X) = [tex]\frac{1}{4}[/tex] where X is winning a particular game  at game place.

To find the odds against winning the game:

P(X') = P(Not winning a game) = 1-P(X) = [tex]1-\frac{1}{4} = \frac{4-1}{4} =\frac{3}{4}[/tex]

Now, we have

the probability of winning is [tex]\frac{1}{4}[/tex] = 25%

and the probability of not winning is [tex]\frac{3}{4}[/tex] = 75%

Therefore, odds against winning is (chances against success) : (chances for success) =  3 to 1 or 3 : 1

The total length of string needed to decorate 17 identical decorative bottle is 3570 cm or 35.7 m

Given:

Question

Total length of string needed for 17 identical decorative bottle?

String A = 35

String B = 5 x string A

            = 5 x 35

            = 175 cm

String B = 175 cm

We need to calculate total string needed for 1 decorative bottle

= String A + String B

= 35 cm + 175 cm

= 210 cm

The total length to decorate one bottle is 210 cm

To decorate 17 identical bottles, it would need:

= 210 x 17

= 3570 cm

Here is to solve the multiplication in standard algorithm method:

   21

  17  x

 147

 21     +

357

then adding the zero = 3570

To simplify the multiplication we just do the two digit numbers and then adding the zero later in the answer,

So,  the total string needed for 17  identical decorative bottle is 3570 cm or 35.7 m

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Using the principle of solving algebraic expressions, the value of p in the equation is 1/93

Given the expression :

Solving the expression in bracket :

93p + 84 = 85

Subtract 84 from both sides to isolate 93p

93p + 84 - 84 = 85 - 84

93p = 1

Divide both sides by 93 to isolate p

93p/93 = 1/93

p = 1/93

Therefore, the value of p in the expression is 1/93.

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vertical angles equal each other

 so you have

9x+12 = 3x +24

subtract 12 from each side:

9x = 3x+12

 subtract 3x from each side:

6x = 12

 divide both sides by 6

 x = 12/6

x = 2

The mini laptop is on sale for 40% off, the discount is 40% of the regular price then the discount could be 180 dollar.

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

WE have been given that the laptop is on sale for 40% off, the discount is 40% of the regular price.

Since they are asking for the discount and not the discounted price.

Discount

= 40% ×$450

= ⅖ ×$450

= $180

Thus, the option c is correct.

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When the boat has made 35 tours, the train will have made 56 tours, based on the ratio 8 train tours for every 5 boat tours.

The question involves calculating the number of train tours when a given number of boat tours is reached, utilising basic multiplication and ratios. Since there are 5 boat tours and 8 train tours per day, for every boat tour, there are 8/5 train tours. To find out the number of train tours when there have been 35 boat tours, we multiply 35 by 8/5 which equals 56.

Here is the table showing the boat to train tour ratios:

Boat Tours  5,10,15,20,25,30,35

Train Tours 8,16,24,32,40,48,56

Therefore, when the boat has made 35 tours, the train will have made 56 tours.

17/20 is the fraction of an hour Ernesto spent waiting for the bus

A fraction represents a part of a whole.

Given that Ernesto's bus arrived 51 minutes after he got to the bus stop

We need to find the fraction of an hour Ernesto spent waiting for the bus

We know that 1 hour has 60 minutes.

Ernesto's  waited 51 minutes out of 60 minutes or an hour.

So 51 minutes is the part and 60 minutes is the whole part

Then the fraction will be 51/60

51 and 60 are the multiples of 3.

Let us divide numerator and denominator by 3

17/20

Hence, 17/20 is the fraction of an hour Ernesto spent waiting for the bus

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