The science club is planning a field trip to a museum. Each student will pay $10 for admission and an equal share of the $200 transportation cost. The total cost per student is given by the expression LaTeX: C=\frac{200}{S}+10C = 200 S + 10, where LaTeX: SS is the number of students that went on the field trip. What does the term LaTeX: \frac{200}{S}200 S in the expression represent?

Answer:

There are two possible answers to this question. if the demoninator has the three on the outside of the square root your answer is 2/3. If your demoninator has the three inside the square root your answer is [tex]\frac{2\sqrt{3} }{3}[/tex] or 1.15. Let me know if this helps!

Answer:

you put the -3 where the x's are

Step-by-step explanation:

f(x)= -2(-3)^2 - 3(-3) + 6

i think i hope thats right

Answer:

Plug in -3 into all the x's are

Step-by-step explanation:

f(x)= -2(-3)²-3(-3)+6

Answer:

I believe you already selected the correct answer in the picture

Answer:

D. 20 in

Step-by-step explanation:

x/3 + 8 = -2

Because x is in a fraction, the most efficient way to solve is to remove the 8 first.

The first step should be to subtract 8 from both sides:

x/3 = -10

Then you would multiply both sides by 3:

x = -30

Blair was correct but Arianna is correct too.

Let's see why :

_________________________________ We're gonna solve it from Blair's method .

[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]

Multiply sides by 3

[tex]x + 24 = - 6[/tex]

Subtract sides minus 24

[tex]x = - 6 - 24[/tex]

[tex]x = - 30[/tex]

_________________________________

The faster way is :

[tex] \frac{x}{3} + 8 = - 2 \\ [/tex]

Subtract sides minus 8

[tex] \frac{x}{3} = - 2 - 8 \\ [/tex]

[tex] \frac{x}{3} = - 10 \\ [/tex]

Multiply sides by 3

[tex]x = - 30[/tex]

It is very easier to calculate -2-8 than -24-6 and also it is very easier to multiply -10 by 3 than multiply 8 by 3 and multiply -2 by 3 and then calculate.

So Arianna is correct.

I think this is the correct answer.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:   [tex]\frac{-m^2+n^2}{2}[/tex]

If the font is too small, it says (-m^2+n^2)/2

==============================================

Explanation:

If you plug x = 0 into the original expression, then you'll get the indeterminant form 0/0 after simplifying.

Recall that cos(0) = 1

So we use L'Hospitals rule to derive the numerator and denominator separately (don't use the quotient rule)

[tex]\displaystyle \lim_{x\to0} \frac{\cos(mx)-\cos(nx)}{x^2}\\\\\\\displaystyle \lim_{x\to0} \frac{-m\sin(mx)+n\sin(nx)}{2x}\\\\\\[/tex]

Plug x = 0 into this new expression. You should get 0/0 again here as well, which means you'll have to do another round of L'Hospital

[tex]\displaystyle \lim_{x\to0} \frac{-m^2\cos(mx)+n^2\cos(nx)}{2}\\\\\\[/tex]

Now plugging in x = 0 leads to something that isn't indeterminant

Evaluating the limit gets us

[tex]\displaystyle \lim_{x\to0} \frac{-m^2\cos(mx)+n^2\cos(nx)}{2}\\\\\\=\frac{-m^2\cos(m*0)+n^2\cos(n*0)}{2}\\\\\\= \frac{-m^2+n^2}{2}\\\\\\[/tex]

Answer:

I believe there are 21 ducks and 14 pigs in the field

Step-by-step explanation

x+y=35

2x+4y=98

2x+2y=70

2x+4y=98

-2y=-28

y=14

x+14=35

x=35-14

x=21

21=ducks

14=pigs

Karla spent $1500 to make the shirt and will lose $150 if she sells only 90 t-shirts.

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let t represent the number of t-shirts she needs to sell in order to make a profit. Since:

t > 100 and the price is $15 per shirt, hence:

Money spent = $15 * 100 = $1500

Money lost in sell 90 shirts = (100 - 90) * 15 = $150

Karla spent $1500 to make the shirt and will lose $150 if she sells only 90 t-shirts.

Find out more on inequality at: https://brainly.com/question/24372553

Answer:

its c (4,1)

Step-by-step explanation:

The required point for the given line is (0, -3). The correct option is (D).

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The equation of the given line is y = 2x - 3.

In order to find the point lying on it, consider each of the options one by one as follows,

(a) (2 , 3)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 7

RHS = 2x - 3

       = 2 × 2 - 3

       = 1

Since, LHS ≠ RHS, the given point is not the solution.

(b) (-2, -1)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 7

RHS = 2x - 3

       = 2 × -1 - 3

       = -6

Since, LHS ≠ RHS, the given point is not the solution.

(c) (4, 1)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = 4

RHS = 2x - 3

       = 2 × 1 - 3

       = -1

Since, LHS ≠ RHS, the given point is not the solution.

(d) (0, -3)

Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,

LHS = y

       = -3

RHS = 2x - 3

       = 2 × 0 - 3

       = -3

Since, LHS = RHS, the given point is the solution.

Hence, the point (0, -3) is the solution of the given equation.

To know more about linear equation click on,

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Answer:

The probability of getting exactly iblue is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]from\ the\ given\ condition.[/tex]

[tex]We\ only\ have\ two\ way.[/tex]

[tex]One\ way\ is\ the\ first\ one\ take\ the\ blue.[/tex]

[tex]one\ but\ the\ second\ one\ take\ red.\ one.[/tex]

[tex]Another\ way\ is\ the\ first\ one\ take\ the\ red.[/tex]

[tex]one\ but\ the\ second\ one\ take\ the\ blue.[/tex]

[tex]one.[/tex]

[tex]so.\ P_1=\frac{4}{9}\times\frac{5}{8}=\frac{5}{18}[/tex]

[tex]P_2=\frac{5}{9}\times\frac{4}{8}=\frac{5}{18}[/tex]

[tex]so.\ we\ have\ p=p_1+p_2=\frac{5}{18}+\frac{5}{16}=\frac{5}{9}[/tex]

I hope this helps you

:)

Answer:

Step-by-step explanation:

1/5(x-6/5)=-51/25

1/5x-6/25=51/25

5/25x=57/25

5x=57

x=11.4

(−3.7x)(5.1y)

= −18.87xy

Answer:

3(x-2)

Step-by-step explanation:

Factor 2x(2)−x−6

=> 3x−6

=>3(x−2)

Answer:

=> 3(x−2)

Answer:

  702 ft²

Step-by-step explanation:

The total surface area of the prism is the sum of the areas of its 7 faces.

lateral area

The width of each rectangular face is 8 ft. The total length of all of the rectangular faces is equal to the perimeter of the base:

  7 ft +5 ft +3 ft +5 ft + 2 ft = 22 ft

So, the rectangular area is ...

  A = LW = (8 ft)(22 ft) = 176 ft²

__

base area

The area of each base is equivalent to the area of a 5 ft×7 ft rectangle with a 3 ft×4 ft right triangle cut off one corner. The base area will be ...

  A = LW -1/2bh

  A = (5 ft)(7 ft) - 1/2(3 ft)(4 ft) = 29 ft²

__

area of one

So the total surface area of one structure is ...

  lateral area + 2×(area of one base)

  = 176 ft² +2(29 ft²) = 234 ft²

__

If 3 pieces are needed, the total amount of sheet metal needed for their construction is ...

  (234 ft²) × 3 = 702 ft² . . . . needed to build all 3 pieces

Answer:

the answer is 702 I took the test

Answer:

B.{5}

Step-by-step explanation:

2-8x-42=0

(÷2), we get,

1-4x-21=0

-4x-20=0

-4x=20

x=20÷(-4)

x=(-5)

since the question asks for a positive set, the answer is [x=5]

The positive solution set is D. {7}.

A set is a well defined collection of objects written by commas and closed by second brackets.

According to the given question the equation 2x² - 8x - 42 = 0 have two factors and we have write the positive factor in form of a set.

2x² - 8x - 42 = 0

x² - 4x - 21 = 0

x² -7x + 3x - 21 = 0

x(x-7) + 3(x - 7) = 0

(X+3) = 0 OR (x-7) = 0

x = -3 OR x = 7.

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Answer: For the first one wouldnt it be like:

ht=10(r)+5

Step-by-step explanation:

Answer:

z>7

Step-by-step explanation:

subtract z from both sides, then subtract 8 from both sides. The, divide both by the -5 (and remember to flip the sign since you divided by a negative number).

Answer:

C

Step-by-step explanation:

I usually solve these problems by process of elimination, but you can solve these differently!

A. y=1/2x. This would basically mean to divide x by 2 to get y. We can see 2/2=1, 4/2=2, 6/2=3, and 8/2=4. This does not match up with the table, where the numbers are 1, 5, 9, and 13. 1, 5, 9, and 13 are not equal to 1, 2, 3, and 4. So A is not our answer.

B. y=x-1. This would mean to subtract 1 from x to get y. 2-1=1, 4-1=3, 6-1=5, and 8-1=7. This does not match up with the table. 1, 3, 5, and 7 is not equal to 1, 5, 9, and 13.

C. y=2x-3. This would mean we would multiply 2 by x and subtract 3 to get y. 2*2-3=1, 2*4-3=5, 2*6-3=9, and 2*8-3=13. 1, 5, 9, and 13 are equal to 1, 5, 9, and 13, so this will be our answer.

D. y=3x-5. This would mean we would multiply 3 by x and subtract by 5. 3*2-5=1, 3*4-5=7, 3*6-5=13, and 3*8-5=21. This is not equal to 1, 5, 9, and 13.

Answer:

She gained 13,800 pounds

1 ton = 2,000 pounds

2,000 × 7 = 14,000

14,000 - 200 = 13,800

Answer:

7+1-8+2(2)+4(1)

= -1+4+4

=7

Answer:

8

Step-by-step explanation:

Given:

g = 1, h = 2

7 + g − 8 + 2h + 4g

Solve:

Since g = 1 and h =2

Substitute

7+(1)-8+2(2)+4(1)

= 7+(1)-8+4+4(1)

= 7 + (1)-8+4+4

=  8 -8 + 4 + 4

= 4 + 4

=8

Hence, Answer = 8

~lenvy~

Answer:

Rectangle but not a square

Step-by-step explanation:

Let's start by determining if it's a parallelogram.

The slope of side DE is undefined.

The slope of side EF is 0.

The slope of side FG is undefined.

The slope of side DG is 0.

Thia means we have 2 pairs of opposite parallel sides, meaning DEFG is a rhombus.

Now, let's determine if it's a rectangle. Since the slope of

side DE is undefined and the slope of side EF is 0, sides DE and EF are perpendicular. This means that angle DEF is a right angle, and thus DEFG is a rectangle.

To determine if DEFG is a rhombus, we can find the lengths of adjacent sides DE and EF.

The length of DE is 5.

The length of EF is 3.

Since the pair of consecutive sides (sides DE and EF) aren't congruent, DEFG is not a rhombus.

Since DEFG is not a rhombus, it also cannot be a square.

This means DEFG is a rectangle, but not a square.

Answer:    ∠B = 42°   ∠A = 23°  ∠F = 115°

Step-by-step explanation:

∠B≅∠C  alternate interior angles  42°

  ∠CDF is supplementary to ∠CDE,

so m∠CDF = 23°  and ∠FAB≅∠CDF so m∠FAB= 23°

also ∠A ≅ CDE  corresponding angles  157° ∠FAB is suplementary to ∠A

so 180 - 157 = 23 gives the m∠FAB

The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)

180- 65 = 115 = m∠F

Answer:

[tex]\large\boxed{\sf f(x) = x^2-6x+9}[/tex]

Step-by-step explanation:

We are here given a graph of a equation and we are interested in finding the equation .

From the given graph we can see that it cuts the x axis at point (3,0) . This graph represents a quadratic function and its two zeroes are 3,3 . We can write the equation using the two zeroes .

Say if the zeroes of the quadratic equation are p and q , then the quadratic equation can be written as ,

[tex]\longrightarrow (x-p)(x-q)=0 [/tex]

And the quadratic function can be written as ,

[tex]\longrightarrow f(x)= k[ (x-p)(x-q)][/tex]

where k is a constant .In this case k = 1 . So we can write the function as ,

[tex]\longrightarrow f(x) = (x-3)(x-3)[/tex]

Distribute ,

[tex]\longrightarrow f(x)= x (x-3)-3(x-3)[/tex]

Simplify by opening the brackets,

[tex]\longrightarrow f(x) = x^2-3x -3x +9 [/tex]

Add like terms,

[tex]\longrightarrow \underline{\underline{f(x) = x^2-6x+9}}[/tex]

And we are done!

1 kg = 2.2 pounds ( rounded to the nearest tenth)

500 kg x 2.2 = 1,100 pounds

1100 pounds is less than 2,500 so the forklift can lift it.

Answer:

2,500= 1133.981

Step-by-step

The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237

= 1133.980925 kg

0.45359237  this is the conversion rate therefore 1134 is the answer (was rounded)

Answer:

9/20

Step-by-step explanation:

LCM of 5, 20, and 10 = 20

4/5

= 4/5 x 4/4

= ( 4 x 4 )/( 5 x 4 )

= 16/20

2/10

= ( 2/10 ) x ( 2/2 )

= ( 2 x 2 )/( 10 x 2 )

= 4/20

4/5 - 3/20 - 2/10

= 16/20 - 3/20 - 4/20

= ( 16 - 3 - 4 )/20

= ( 16 - 7 )/20

= 9/20

Answer:

9/20

Step-by-step explanation:

First, you need to find common denominators between all of the fractions.

All of these denominators can be multiplied by a whole number to equal 20.

For 4/5, multiply both the numerator and the denominator by 4 to get 16/20

Leave 3/20 alone

For 2/10, multiply both the numerator and the denominator by 2 to get 4/20

Now you have 16/20 - 3/20 - 4/20

= 9/20

x = 4

Step-by-step explanation:

21x + 6 = 90°

21x = 90 - 6

21x = 84

x = 84/21

x = 4

Answer:

x = 7

Step-by-step explanation:

7x + 5 - x + 6 = 53 , that is

6x + 11 = 53 ( subtract 11 from both sides )

6x = 42 ( divide both sides by 6 )

x = 7

Answer:

35

Step-by-step explanation:

By the triangle midsegment theorem, 2(WY)=VZ.

So, 2(p-21)=p-7, meaning p=35.

Answer:

what is it

Step-by-step explanation:

The perimeter is represented by the inequality 2x + 2(2x - 20) > 70. Then the correct option is B.

Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The width of a rectangular flower shop is 20 feet less than twice the length.

W = 2L - 20

The perimeter is more than 70 feet. Then the inequality is given as,

P < 2(L + W)

70 < 2(L + 2L - 20)

70 < 2L + 2(2L - 20)

Replace L with x, then we have

2x + 2(2x - 20) > 70

The perimeter is represented by the inequality 2x + 2(2x - 20) > 70. Then the correct option is B.

More about the perimeter of the rectangle link is given below.

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