Larissa is baking two pies that are the same size: an apple pie for her brothers and a pumpkin pie for her sisters. Larissa cuts the apple pie into eights and serves the five slices for her
brothers. Then, she cuts the pumpkin pie into sixths and serves three pieces to her sisters. Her
brothers and sisters eat all of the pie they are served, and nothing more.
At the end of the night, Larissa plans to put all of the leftover slices of pie together in the same
pie pan if there is enough space.
Which of the following statements is NOT true?
a) There will be enough space to fit the leftover slices of pie together in one of the pie pans
b) There will be more empty space in the pumpkin pie pan than in the apple pie pan after the
slices are served
c) After Larissa served the apple pie, there is exactly 0.375 of the apple pie remaining
d) After putting the pies together in one pan, 1/8 of the pie pan would still be empty

All the statements are correct.

Step-by-step explanation:

Larissa is baking two pies that are the same size:

an apple pie for her brothers and a pumpkin pie for her sisters.

Larissa cuts the apple pie into eights and serves the five slices for her brothers.

This means she divided the apple pie into 1/8, so 5 for a brothers = 5(1/8) = 5/8

The amount of apple pie left is = 1 - 5/8

= 3/8

Then, she cuts the pumpkin pie into sixths and serves three pieces to her sisters.

She divided the pumpkin pie into 1/6

Serving her 3 sisters = 3(1/6)

= 3/6

The amount left = 1 - 3/6 = 3/6 = 1/2

This means, her sisters are 1/2 of the pie and 1/2 is left

Her brothers and sisters eat all of the pie they are served, and nothing more.

Verifying the given options

a) There will be enough space to fit the leftover slices of pie together in one of the pie pans

Yes, this is correct it we put the left over slices of pie in the pumpkin pie pan.

Option a is correct.

b) There will be more empty space in the pumpkin pie pan than in the apple pie pan after the slices are served.

Option b) is true

This is because, the amount of space left in the pumpkin pie pan = 1/2

The amount of space left in the apple pie pan = 3/8

1/2 is greater than > 3/8

c) After Larissa served the apple pie, there is exactly 0.375 of the apple pie remaining.

Larissa served, 5/8 of the apple pie,

3/8 is left , 3/8 = 0.375.

Option c is correct.

d) After putting the pies together in one pan, 1/8 of the pie pan would still be empty

Yes, if the left over pies are put in the pumpkin pie pan.

This is because, the amount of space left in the pumpkin pie pan = 1/2

The amount of space left in the apple pie pan = 3/8

1/2 + 3/8

= 4+3/8 = 7/8

1 - 7/8 = 1/8

Option d is correct

Therefore, all the 4 statements are correct.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!