Use the table below.



If Sally is trying to keep her dinner under 500 calories, can she have a broiled sirloin, baked potato and salad and ½ cup fruit cocktail?

No
Yes

Answer:

133 students would fill 2 buses and 3 vans

Step-by-step explanation:

Let x be the no. of students in each van

No. of students in 12 vans = 12x

No. of students in 14 vans = 14x

Let y be the no. of students in each bus

No. of students in 14 buses = 14y

No. of students in 12 buses = 12y

We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

12x+14y=796 ---1

We are also given that General High rented and filled 14 vans and 12 buses with 738 students.

14x+12y=738 ---2

Plot 1 and 2 on graph

12x+14y=796 --- Green line

14x+12y=738 --- Purple line

Intersection point gives the solution

Intersection point=(x,y)=(15,44)

No. of students in 1 van = 15

No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]

No. of students in 1 bus = 44

No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]

So,Total no. of students in 3 vans and 2 buses = 45+88=133

Hence 133 students would fill 2 buses and 3 vans

Answer:

The constant of proportionality is 9.

Step-by-step explanation:

k=y/x     This is the formula.

k=45/5   Plug in the x and y coordinates of a point on the line (5,45).

k=9         Here's your answer!

Answer:

a) i) x = 6, y = 9

ii) 20

iii) -5

b) -40

Step-by-step explanation:

3(6) - 2(9)

18 - 18 = 0

greatest

3(10) - 2(5)

30 - 10

20

least

3(5) - 2(10)

15 - 20

-5

5(a - 4b)

5[-7 - 4(¼)]

5(-7 - 1)

5(-8)

-40

Answer:

30π  ft^2 which is 94.25 ft^2 to the nearest hundredth.

Step-by-step explanation:

The area of the full circle is π * 6^2

= 36π  so:

the area of the 300 degrees sector = 300 * 36 π  / 360

= 30 π

Answer:

a. 1/11 < 1/9 < 1/8 < 1/7 < 1/5 < 1/4

b. 4/12 < 4/10 < 4/7 < 4/5

c. 3/11 < 3/9 < 3/8 < 3/7 < 3/5 < 3/4

Step-by-step explanation:

Hope this helps!!!

Step-by-step explanation:

If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.

We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!

Answer:

  21,661.7 mm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Here, we're given the diameter as 19.05 mm, so the radius is ...

  r = 19.05 mm / 2 = 9.525 mm

The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...

  h = (1.52 mm)(50) = 76 mm

__

Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...

  V = π(9.525 mm)²(76 mm) = 21,661.7 mm³

The approximate volume of the roll of pennies is 21,661.7 mm³.

Answer:

(-4, 5)

Step-by-step explanation:

(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.

Answer:

x < -7

Step-by-step explanation:

[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]

Answer:

volume = 5/8 cm^3

Step-by-step explanation:

v=lwh

(5/2)(1/3)(3/4)=15/24=5/8

Therefore, volume = 5/8 cm^3

I hope this helped and have a good rest of your day!

Whats the rest?

I need an answer

Answer:

x>5

Step-by-step explanation:

Answer:I’m on that same question and I need help to

Step-by-step explanation:

Answer:

Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.

Step-by-step explanation:

I know that table C is linear because it has a constant rate of change the whole entire time.

I know table A is exponential because of the way it drastically increases at the end.

And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.

I hope I helped.

Answer:

24 square blocks

Step-by-step explanation:

Answer:

[tex]0.19\,\,cubic\,\,feet[/tex]

Step-by-step explanation:

Given:

The concrete block is a rectangular prism with two  cubes cut out. The cubes have a side length of 6  inches.

To find: total volume, cubic feet, of concrete  needed to make this block

Solution:

Side of cube = 6 inches

Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]

So, volume of two cubes = 2(216) = 432 cubic inches

Length of rectangular prism = 12 inches

Breadth of rectangular prism = 8 inches

Height of rectangular prism = 8 inches

Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]

Total volume of concrete  needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]

( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])

Answer:

20

Step-by-step explanation:

Answer:

C.) $6,584.91

Step-by-step explanation:

Amount earned in compound interest = P(1 + r)^n;

where P is the principal,

r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer:

C) 6584.91

Step-by-step explanation:

plato

Answer:

Linear would be fine as it doesn't decrease to under zero

and a curve graph would represent this data fine at 10818 turning point.

Step-by-step explanation:

Answer: it’s c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5

We get

4/0.5= 8

Answer:

roy

Step-by-step explanation:

the y coordinate has the negative number like the community center's y.

Answer:

The answer is Lee :)

Step-by-step explanation:

both of the numbers are negatives so they both belong in 3rd quadrant

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

Answer:

The circle's area is pi

Step-by-step explanation:

A=πr2=π·12≈3.14159...

Answer: $4107.74

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

To find the intervals you will need to find the lowest and highest numbers, in this case, it would be 1 and 35.  A general rule would be 5-7 intervals, I will use 5.

Here are the intervals with the number of people that were in each:

1-7 (9)

8-14 (14)

15-21 (8)

22-28 (3)

29-35 (5)

14+9+8+3+5=39

Answer:

y = -3x +8

Step-by-step explanation:

The slope intercept form intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -3 and the intercept is 8

y = -3x +8

Answer: y= -3x+8

Step-by-step explanation:

Using the formula y=Mx+b

Answer:

1248 cubic feet

Answer:

y is 10 degrees the pink one

y = 10

Hope This helps :D