For an upcoming field trip, there will be 36 fifth graders and 48 sixth graders. Each van will carry the same number of students, and only students from one grade. If each van will carry the greatest possible number of students, how many vans will be needed?

Answer:21.94

Step-by-step explanation:22 divided by 4 = 5.5 5.5 times 3.99$ equals 21.94

Answer:

x=19

Step-by-step explanation:

work shown either above or below

Answer: 10.63

Step-by-step explanation: 8.1 + 2.53

Answer:

10.63

Step-by-step explanation:

Add it together and it makes 10.63

Step-by-step explanation:

[tex]3 \sqrt{n} < \sqrt{200} \\ \sqrt{n} < \sqrt{200} \div 3 \\ \sqrt{n} < \sqrt{200 } \times \sqrt{1 \div 9} \\ \sqrt{n} < \sqrt{200 \times (1 \div 9)} \\ \sqrt{n } < \sqrt{22} \\ n < 22 \\ n = 21[/tex]

200/9=22.22222

so i took the nearest number 22 just to make it easy. I think there is no problem.

Answer:

the required parametric equation is:

x = 1

y = t + 3

z = -12t - 17

Step-by-step explanation:

From the given information:

We are to express x,y, and z in terms of t.

The purpose of this question is to find the parametric equations in terms of t.

Given that the tangent line related to the parabola is the point (1,3, -17)

Provided that the paraboloid z = 3 - x - x² - 2y² intersect the plane x = 1 in a paraboloid; then:

z = 3 - 1 - (1)² - 2y²

z = 1 - 2y²

Suppose y = t, then the parametrization is given by:

(x (t), y(t), z(t) ) = (1, t, 1 - 2t²)

(x' (t), y'(t), z'(t) ) = (0,1, -4t)

At the point (x,y,z) = (1,3, -17)

For t (=y) = 3

Hence, (x'(3),y'(3),z'(3)) = (0,1, -12)

Therefore, the equation of the tangent line can be expressed as:

[tex]\dfrac{x-1}{0}=\dfrac{y-3}{1}=\dfrac{z-(-17)}{-12}=(t)[/tex]

x - 1 = 0, y -3 = t, z + 17 = -12t

x = 1, y = t + 3 , z = -12t - 17

Thus, the required parametric equation is:

x = 1

y = t + 3

z = -12t - 17

Answer:

47.1cm

Step-by-step explanation:

multiply 15 cm by 3.14

Given parameters:

 Radius of the pizza  = 15cm

  [tex]\pi[/tex]   = 3.14

Unknown:

Approximate circumference of the pizza = ?

Solution:

 The pizza is circular and we take the circumference of a circle to find that of the pizza;

  Circumference of a circle  = 2  [tex]\pi[/tex] r

Input the parameters and solve;

           Circumference of a circle  = 2 x 3.14 x 15  = 94.2cm

The circumference of the pizza is  94.2cm

Answer:

3

Step-by-step explanation:

The slope of the chart, (the change of y over x) is 3

Answer:

5

Step-by-step explanation:

[tex]30 \div 5 = 6[/tex]

(0,6) & (3,0)

m = (y2-y1)/(x2-x1)

m = (0-6)/(3-0)

m = -6/3

m = -2

Substitute the values in y = mx + c

0 = -2(6) + c

c = 12

Thus, the equation is y = -2x + 12

Answer:

y=2x-6

Step-by-step explanation:

You can plug this into the slope formula, x-intercept of 3 would be (3,0)

and y intercept of -6 would be (0,-6).  

Find the slope using the slope formula. The slope is 2

We are given a y-intercept of -6

therefore, the answer is y=2x-6

Answer:

36

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

Answer:

7+7i

Step-by-step explanation:

you would combine like terms

Answer:

domain is ..... 13

The range is 45

Step-by-step explanation:

Answer:

k over 3 +17 =12

Step-by-step explanation:

-15/3=-5

-5+17=12

Measure of an angle = x

Measure of another angle = x - 143.4

Each angle is the supplement of the other angle .

Which means :-

[tex]x + x - 143.4= 180[/tex]

[tex]2x - 143.4 = 180[/tex]

[tex]2x = 180 + 143.4[/tex]

[tex]2x = 323.4[/tex]

[tex]x = \frac{323.4}{2} [/tex]

[tex]\color{hotpink}x = 161.7[/tex]

Measure of the first angle :-

[tex]\color{hotpink} = 161.7°[/tex]

Measure of the second angle :-

[tex] = x - 143.4[/tex]

[tex] = 16.7 - 143.4[/tex]

[tex]\color{hotpink} = 18.3°[/tex]

As the sum of the measure of each angle adds up to 180° (161.7+18.3=180) , we can conclude that we have found out the correct value of each of the angles .

Therefore , the measure of the first angle is = 161.7° and the measure of it's supplementary angle is = 18.3° .

Answer: 242 = 190 + 4t

Step-by-step explanation:

You know that the maximum capacity of the restaurant is 242 people, meaning that at most there can only be that many customers seated at that time. Normally, the equation would be 242 = 10b + 4t, but since you already know the number of booths, your work is cut in half, giving you 242 = 10(19) + 4t. The equation would be this because you have the capacity being equal to the number of tables x the number of people at each table and the number of booths x the number of people seated at each of them.

Answer:

1 7/15 feet

Step-by-step explanation:

2/3 + 4/5

10/15 + 12/15

22/15

1 7/15

Answer:

Here's a screenshot of the correct line:

The line with the slope of 3/5 and goes through the point (1,2) is y = 3/5x + 7/5

The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the line has a slope of 3/5 and goes through the point (1,2). The equation of the line is given by:

[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{3}{5}(x-1)\\\\y-2=\frac{3}{5}x-\frac{3}{5} \\\\y=\frac{3}{5}x+\frac{7}{5}[/tex]

Answer: Words that can give you clues to the meaning of an unknown word

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Your answer is:

1) f >= 17

2) f <= -8

Step-by-step explanation:

Hope this helped : )

Answer:

1. y = 2m + 4

2. y = 3m + 1

3. y = 2/3m +1

4. y = 4m -6

Will answer any questions in the comments

Step-by-step explanation:

1.  1 -> 5 = 4

   6 -> 14 = 8

   8/4 = 2

   y = 2m + 4

2. 2 -> -3 = -5

   -5 -> 10 = 15

   5/15 = 3

   y = 3m + 1

3. 9 -> -3 = -12

   11 -> 3 = -8

   -8/-12 = 2/3

   y = 2/3m + 1

4. 3 -> -2 = -5

   6 -> -14 = -20

   -20/-5 = 4

   y = 4m - 6

Answer:

58.3333333333

Step-by-step explanation:

Answer:

v = b/0.75 - 0.95s/0.75

Or

v = (b - 0.95s) / 0.75

Step-by-step explanation:

Solve 0.75v + 0.95s = b for v

This means making v the subject of the formula

0.75v + 0.95s = b

Subtract 0.95s from both sides

0.75v + 0.95s - 0.95s = b - 0.95s

0.75v = b - 0.95s

Divide both sides by 0.75

v = (b - 0.95s) / 0.75

v = b/0.75 - 0.95s/0.75

The equation will be useful in determining the number of vegetarian

Answer:

Solve  :    -x+26 = 0 

 Subtract  26  from both sides of the equation : 

                      -x = -26 

Multiply both sides of the equation by (-1) :  x = 26 

[tex] \frac{2}{5} = \frac{x}{65} [/tex]

[tex]2 \times 65 = 5 \times x[/tex]

[tex]130 = 5x[/tex]

[tex]x = \frac{130}{5} [/tex]

[tex] \color{hotpink}x = 26[/tex]

Therefore , the correct option is :-

[tex]\color{plum}D) \: x = 26[/tex]