a fast food chain surveyed a random sample of students to determine what pizza they prefer.cheese pizza was preferred by 40 students.pepperoni pizza was preferred by 28 students.based on the results,how many of 340 student can be expected to prefer cheese pizza

Answer:

volume = x(x + 2)(x - 1)

soil = 30 ft³

Step-by-step explanation:

volume of a cuboid = width x length x height

Substituting given values into the equation:

⇒ volume = x(x + 2)(x - 1)

If width = 3ft, then x = 3:

⇒ volume = 3(3 + 2)(3 - 1)

                 = 3(5)(2)

                 = 30 ft³

We know, perimeter of the rectangle = 2(l +b)

where, l = length and b = breadth

Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.

=> Perimeter = 2(l + b)

=> 48 = 2(l + 10)

=> 48/2 = l + 10

=> l + 10 = 24

=> l = 24 - 10

=> l = 14 kilometers

Answer:

  6.2 units

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.

To find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591

__

The side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106

The length of the side marked x is about 6.2 units.

Answer:

[x] ≥ x

Step-by-step explanation:

The area of the sandbox is 5 x 5 = 25 square feet.

the cost of the sand = 25 square feet x 1.47 = $36.75

Answer: $36.75

Answer:

36.75

Step-by-step explanation:

5*5=25 ft^2

(area)

25*1.47=36.75

sand cost

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

Answer:

[tex]{x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 [/tex]

Step-by-step explanation:

This too follows the as same process as

recall binomial theorem,

[tex] \displaystyle (a + b {)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

Given binomial:

comparing it to (a+b)ⁿ , we acquire:

Now substitute:

[tex] \displaystyle (x +8 {)}^{5} = \sum _{k = 0} ^{5} \binom{n}{k} {a}^{5- k} {b}^{k} [/tex]

To convert the summation into a sum, substitute the values from k=0 to k=5 into the expression which yields

[tex] \displaystyle (x + 8{)}^{5} = \binom{5}{0} {x}^{5 - 0} \cdot {8}^{0} + \binom{5}{1} {x}^{5 - 1} \cdot {8}^{1} + \binom{5}{2} {x}^{5 - 2} \cdot {8}^{2} + \binom{5}{3} {x}^{5 - 3} \cdot {8}^{3} + \binom{5}{4} {x}^{5- 4} \cdot {8}^{4} + \binom{5}{5} {x}^{5 - 5} \cdot {8}^{5} \\ \implies(x + 8 {)}^{5} = \binom{5}{0} {x}^{5} \cdot 1 + \binom{5}{1} {x}^{4} \cdot {8} + \binom{5}{2} {x}^{3} \cdot 64+ \binom{5}{3} {x}^{2} \cdot 512 + \binom{6}{4} {x}^{1} \cdot 4096+ \binom{5}{5} {x}^{0} \cdot 32768\\ \implies(x + 8{)}^{5} = 1 \cdot {x}^{5 } \cdot 1 + 5\cdot{x}^{4} \cdot {8} + 10 \cdot {x}^{3} \cdot 64+ 10 \cdot {x}^{2} \cdot 512 + 5 \cdot{x}^{1} \cdot 4096+ 1 \cdot {x}^{0} \cdot 32768 \\ \implies \boxed{ (x + 8 {)}^{5} = {x}^{5} + 40{x}^{4} + 640{x}^{3} + 5120 {x}^{2} + 20480{x}^{}+ 32768 }[/tex]

and we're done!

24

Explanation:

R = D + 12 (1)

D = B + 6 (2)

R = 2*B (3)

Put (3) into (1): 2*B = D + 12 (4)

Rewrite (2) as B = D - 6 and put this into (4): 2*(D - 6) = D + 12

So: 2D - 12 = D + 12

Subtract D from both sides and add 12 to both sides to get: D = 24

(not suree)

Answer: 10

Step-by-step explanation: that is the answer because you can not simplify it any further

The value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.

It is given that the  [tex]\rm tan\theta = -\frac{3}{8}[/tex]

It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have  [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.

We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.

The  [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]

or    [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]

Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:

[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  

Or

[tex]\rm cot\theta = -\frac{8}{3}[/tex]

Thus, the value of  [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]  or  [tex]\rm cot\theta = -\frac{8}{3}[/tex].

Know more about trigonometry here:

brainly.com/question/26719838

Answer:

first option

Step-by-step explanation:

Answer:

 [tex]\frac{c-3p}{7}[/tex]

Step-by-step explanation:

1) 4(2a+p)=c+p+a

2) Expand: 8a+4p=c+p+a

3) subract a and 4p: 7a=c-3p

4) Divide: a=[tex]\frac{c-3p}{7}[/tex]

Answer provided by Education Point

Each line they are adding 4.96

11.72 + 4.96 = 16.68

Answer:

the correct answer is 16.68

Answer:

A-6 , B-19 , C-55 , D-119 , E-70

Step-by-step explanation:

Subtract 68 from 138 to find out how many 8th graders in total, and that will get you blank E.

Subtract 64 from 70 (E) to find out blank A.

Add 6 and 13 get the total for TV, blank B.

To get blank C, you need to subtract 13 from 68.

For the last blank, blank D, you need to add 55 (blank C) and 64, which will give you 119.

Answer:

12(4+3)

Step-by-step explanation:

Factor out all of the problems.

Starting with 4(12+4)

This means (4*12)+(4*4)

48+16 is the answer to this

this isn't 48 + 36

12(4+3) is next

12*4 = 48

12*3 = 36

48+36 = 48 + 36

Therefore 12(4+3) is your answer

hope that helps!

hope this is what your looking for

Answer:

x= -2, 0

Step-by-step explanation:

Answer:

1 m/s/s.

Step-by-step explanation:

Acccelaration = rate of change of speed

= (40 - 30) /10

= 10/10

= 1 m/s/s.

Answer: C. 24 units

Step-by-step explanation:

C is the correct answer. This is because the length of the segment doesn't change when reflected along the x-axis or translated left or right. The length of a segment only changes if the given figure is stretched or compressed, which doesn't occur in the given case or question.

Answer: y=x-6

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The integers between square root of 8 and square root 113 are the numbers without decimal points

The sum is 52

The square root of 8 is 2.82

The square root of 113 is 10.63

The integers between 2.82 and 10.63 are:

3, 4, 5, 6, 7, 8, 9 and 10

The sum of these integers is represented as:

Sum = 3 + 4+ 5+ 6+ 7+ 8+ 9 + 10

Evaluate the sum

Sum = 52

Hence, the sum is 52

Read more about integer sum at:

https://brainly.com/question/10853762

Answer:

4units is the answer to the question

Answer:

4

Step-by-step explanation:

took the k12 test

Answer:

Add 5 to both sides

Step-by-step explanation:

x-5=16

+5  +5

x=21

Answer:

Addition

Step-by-step explanation:

x - 5 = 16

x - 5 + 5 = 16 + 5

x = 21

Answer:

 xy

---------

x + y

Step-by-step explanation:

(xy)

-----  is in its simplest form.

(x + y)

I hope this helps!

Answer: ASA

Step-by-step explanation:

Answer:

1/6.2=15/x

Step-by-step explanation:

15:x=1:6.2

Answer:

D. [tex]\frac{1}{6.2} =\frac{15}{x}[/tex]

93 meters

Step-by-step explanation:

Howard has a scale model of the Statue of Liberty

1 inch = 6.2 meters

15 inches = ? meters

[tex]\frac{1}{6.2} =\frac{15}{x}[/tex] <= cross multiply

1x = 93  <== divide both sides by 1

/1     /1

x = 93 meters <== the height of the model, our final answer

Hope this helps!

Step-by-step explanation:Updated answer is the second one

Answer:

Likely

Step-by-step explanation:

took the test

Answer:

17,535 dollars

Step-by-step explanation:

5% of 16,700 is 835, so add the two together and you get your answer.

Answer:

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x ← is in slope- intercept form

with slope m = 4

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - [tex]\frac{1}{4}[/tex] and (a, b ) = (- 10, - 6 ) , then

y - (- 6) = - [tex]\frac{1}{4}[/tex] (x - (- 10) ) , that is

y + 6 = - [tex]\frac{1}{4}[/tex] (x + 10)