At Camp Sunshine, 4 kids went home sick. Of the remaining campers, 18 kids went hiking and the other 41 kids spent the day swimming. How many kids started the day at Camp Sunshine?

Answer

5.85

Step-by-step explanation:

$0.05 x 1.5 = 0,075 x 1 hour (60) = 4,5

$0.03 x 1.5 = 0,045 x half an hour (30) = 1,35

So 4.5 + 1.35 = 5.85

Answer:

Step-by-step explanation:

Cost of the conference call before 8 pm =0.15 * 0.05 = $ 0.075

Cost of the conference call after 8 pm   = 0.15 * 0.03 = $ 0. 045

Cost of the conference call from 7pm to 8pm that last  60 minutes= 0.075 * 60

= $ 4.50

Cost of the conference call 8pm to 8:30pm =0.045 * 30 = $ 1.35

Cost of the conference call 7 pm to 8:30 pm = 4.50 + 1.35 = $ 5.85

Answer:

20

Step-by-step explanation:

Given that:

The study group n = 4

number of participants = 10

the sum of squares for the between-groups source of variation is  60

The objective is to determine the mean square  between groups in this study

The mean square  between groups in this study compares the means of the group with the  sum of squares for the between-groups source (i.e the grand mean)

For this analysis;

the degree of freedom = n-1

the degree of freedom = 4 - 1

the degree of freedom =  3

Thus; the mean square between groups = [tex]\dfrac{60}{3}[/tex]

the mean square between groups = 20

Answer:

Step-by-step explanation:

a. Given,

v = 34 , a = 5 , t = 3

[tex]v = u + at[/tex]

plugging the values:

[tex]34 = u + 5 \times 3[/tex]

Calculate the product

[tex]34 = u + 15[/tex]

Move 'u' to L.H.S and change its sign

[tex] - u + 34 = 15[/tex]

Move constant to RHS and change its sign

[tex] - u = 15 - 34[/tex]

Calculate

[tex] - u = - 19[/tex]

The difference sign (-) will be cancelled in both sides:

[tex]u = 19[/tex]

b. Given,

v = 50 , u = 20 , a = 5

[tex]v = u + at[/tex]

plugging the values

[tex]50 = 20 + 5 \times t[/tex]

[tex]50 = 20 + 5t[/tex]

Move 5t to L.H.S and change its sign.

Similarly, Move 50 to R.H.S and change its sign

[tex] - 5t = 20 - 50[/tex]

Calculate

[tex] - 5t = - 30[/tex]

The difference sign (-) will be cancelled in both sides

[tex]5t = 30[/tex]

Divide both sides of the equation by 5

[tex] \frac{5t}{5} = \frac{30}{5} [/tex]

Calculate

[tex]t = 6[/tex]

c. Given,

v = 22 , u = 8 , t = 7

[tex]v = u + at[/tex]

plugging the values

[tex]22 = 8 + a \times 7[/tex]

[tex]22 = 8 + 7a[/tex]

Move 7a to LHS and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex] - 7a = 8 - 22[/tex]

Calculate

[tex] - 7a = - 14[/tex]

The difference sign (-) will be cancelled in both sides

[tex]7a = 14[/tex]

Divide both sides of the equation by 7

[tex] \frac{7a}{7} = \frac{14}{7} [/tex]

Calculate

[tex]a = 2[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

[tex]\boxed{Median = 152}[/tex]

Step-by-step explanation:

Observation = 568 , 254 , 152 , 101 , 100

In ascending order:

=> 100 , 101 , 152 , 254 , 568

Median is the middlemost no. So here:

Median = 152

Answer:

152

Step-by-step explanation:

If you set the data in an ascending order, you will find 152 to be the middle value, thus being the median

Answer:

x = 8; y = 12.

Step-by-step explanation:

x + y = 20

x = -y + 20

3x + 4y = 72

3(-y + 20) + 4y = 72

-3y + 60 + 4y = 72

y = 12

x + 12 = 20

x = 8

Check your work!

3(8) + 4(12) = 72

24 + 48 = 72

72 = 72

Hope this helps!

Answer:

X=-12 and Y= 32

Step-by-step explanation:

x+y=20 -> 1

3x+4y=72 -> 2

Form 1,

[x+y=20]×4

4x+4y=60 ->3

Form 2,

3x+4y=72

4y= 72 -3x ->4

Sub (4) into (3)

4x+72-3x= 60

x = -12

Sub X=-12 into (1)

-12+y=20

y= 32

Hope this helps.

Answer:

Y= -1/5x + 1

Step-by-step explanation:

Just type it on a graphing calculator an click graph

Answer:

0.012 millimeters

Step-by-step explanation:

First, we solve for  0.000004 m to mm = 0.004 mm x 3 = 0.012 millimeters

Answer:

66 degrees

Step-by-step explanation:

WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.

Hope this is helpful! :)

Step-by-step explanation:

Hi, there!!!!

The main purpose of developing si unit is to have standard unit of measurements and to bring uniformity in whole world in terms of measurements.

I hope it helps you...

Answer:

6/50

Step-by-step explanation:

Jenny pulled out 6 purple tiles out of the 50 trials

Answer: The experimental probability of Jenna pulling a purple tile is 6/50.

Step-by-step explanation:

In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.

Answer:

x = 6

Step-by-step explanation:

The x-intercept of the equation is where the graph crosses the x-axis when y = 0. So, we simply plug in 0 for y:

2(0) - x = -6

0 - x = -6

-x = -6

x = 6

Alternatively, you can graph the equation into a graphing calc and analyze where the graph crosses the x-axis.

Answer:

288π

Step-by-step explanation:

V=4 /3πr^3 is the formula. We have the diameter, so the radius is half (6). We now have V=4 /3π(6)^3 = 4/3π216 = 288π.

Answer:

1/19

Step-by-step explanation:

Let's say there are x yellow cubes.

That means there are 3x blue cubes.

Therefore, there must be 15x green cubes.

In total: we have 19x cubes.

Therefore the probability of a cube being yellow is x / 19x

which simplifies to 1/19

Answer:

1/19

Step-by-step explanation:

Solution:-

- First we will define the distribution of colors in the bag.

- We will use variable:

                     x: the number of yellow cubes in bag

- The following color distribution can be made by using the data given in the question:

                   Color                     Number of cubes

                   Yellow                               x

                   Blue                                  3*x = 3x

                   Green                               3x*5 = 15x

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

                  Total                                 19x

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

- Sarah is to draw a cube from the bag. We are to determine the probability that the randomly picked cube would be yellow. We will denote our event as randomly picking a yellow cube from the bag with a defined finite distribution.

         p ( Picks Yellow cube ) = [ Number of yellow cubes ] / [ Total cubes ]

         p ( Picks Yellow cube ) = [ x ] / [ 19x ]

         p ( Picks Yellow cube ) = 1 / 19   .... Answer

Answer:

first one

Step-by-step explanation:

Answer:

36 people joined the radio control club.

Step-by-step explanation:

15-3= 12

12*3=36

Answer:

-7/8

Step-by-step explanation:

Answer:

[tex] area = 10x^2 - 4x + 6 [/tex]

Step-by-step explanation:

Given that the rectangle has a height = 2, and width of [tex] 5x^2 - 2x + 3 [/tex]

Area of the whole rectangle can be calculated as:

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

Use the distributive property of multiplication by using 2 to multiply each term in the expression, [tex] (5x^2 - 2x + 3) [/tex]

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

[tex] area = 10x^2 - 4x + 6 [/tex]

Answer:

t > 212

Step-by-step explanation:

Given

Boiling point = 212°F

Required

Inequality that shows temperature greater than the boiling point

From the question, temperature is represented with t.

The inequality "greater than" is represented with >

So, temperature greater than the boiling point implies that t > 212

Answer: t > 212

Step-by-step explanation:

The question says "Write an inequality that is true only for temperatures that are higher than the boiling point of water."

This means t has to be higher than 212 since it says only for temperatures that are higher than the boiling point.

But since we have to write an inequality the answer would be: t > 212.

I know I did this very late and you probably don't need it but i was bored

Answer:

Step-by-step explanation:

let the parabola be y=a(x+5)²+0

or y=a(x+5)²

∵ it passes through (-3,1)

1=a(-3+5)²

4a=1

a=1/4

so parabola is y=1/4(x+5)²

Answer:

work is shown and pictured

Answer:

The answer is C

Step-by-step explanation:

Answer:

8.3miles

Step-by-step explanation:

Here Jeff's sister drives 14 miles

his brother only drives 57/10 miles then the question is only asking the difference between their distance of driving to school knowing fully well that Jeff's sister drive farther than his brother, then we find the difference between their drives which is done bow

14miles -57/10 miles

= 83/10

= 8.3miles

Therefore, Jeff's sister drive 8.3miles farther than his brother

Answer:

40

Step-by-step explanation:

[tex] 12x = 34^2 - 26^2 \\

12x = (34+26)(34-26)\\

12x = 60\times 8\\\\

x = \frac{60\times 8}{12}\\\\

x = 5\times 8\\

x = 40[/tex]

Answer:

266.67 feet^2.

Step-by-step explanation:

The scale is 1:40.

That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.

The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.

The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.

Hope this helps!

Answer:

82% Add .34+.48.

Step-by-step explanation:

The question is asking how many people CAN swim. This is why the answer is 82. But if the question asks how many people CANT swim the answer will be 18. This is why some people might get confused.

Answer:  $26.70 per hour

Step-by-step explanation:

Regular hours consists of 8 hrs

Overtime hours is 12 - 8 = 4 hours

Regular pay at "x" per hour = 5(8)(x) = 40x

Overtime pay at "2x" per hour = 5(4)(2x) = 40x

                                                  Total pay = 80x

Total Pay = $2136 = 80x

                     [tex]\dfrac{\$2136}{80}=x[/tex]

                   $26.70 = x

Answer:

104

Step-by-step explanation:

:D

from the above picture

2,3 = 1 quadrant

5,-6 = 4 quadrant

2,0 = on x axis

-5,2 = 2 quadrant

-2,-4 =3 quadrant

0,-2 = on y axis

Answer:45

Step-by-step explanation:

Answer:

B. 30 square units

Step-by-step explanation:

Edge 2021

Answer: A. Factor 2 => 4x greater

                   Factor 3 => 9x greater

                   Factor 5 => 25x greater

Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:

A = 2.π.r.h

A cylinder of radius r and height h has area:

[tex]A_{1}[/tex] = 2πrh

If multiply both dimensions by a factor of 2:

[tex]A_{2}[/tex] = 2.π.2r.2h

[tex]A_{2}[/tex] = 8πrh

Comparing [tex]A_{1}[/tex] to [tex]A_{2}[/tex] :

[tex]\frac{A_{2}}{A_{1}}[/tex] = [tex]\frac{8.\pi.rh}{2.\pi.rh}[/tex] = 4

Doubling radius and height creates a surface area of a cylinder 4 times greater.

By factor 3:

[tex]A_{3} = 2.\pi.3r.3h[/tex]

[tex]A_{3} = 18.\pi.r.h[/tex]

Comparing areas:

[tex]\frac{A_{3}}{A_{1}}[/tex] = [tex]\frac{18.\pi.r.h}{2.\pi.r.h}[/tex] = 9

Multiplying by 3, gives an area 9 times bigger.

By factor 5:

[tex]A_{5} = 2.\pi.5r.5h[/tex]

[tex]A_{5} = 50.\pi.r.h[/tex]

Comparing:

[tex]\frac{A_{5}}{A_{1}}[/tex] = [tex]\frac{50.\pi.r.h}{2.\pi.r.h}[/tex] = 25

The new area is 25 times greater.

B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.

Answer:

5 seconds ma boii

Step-by-step explanation:

i just took tha test

Answer:

1) h(t) = -5t(t - 8)

t - 8 = 0, so

2) t = 8 seconds

Step-by-step explanation: