Suppose the height of the prism is 1 in, then the volume will be:
volume=length×width×height
thus
volume of the prism will be:
V=3×1/2×1
V=1.5 in³

Volume of the cube will be:
v=1×1×1=1 in³
Thus the number of cubes that will be in the prism will be:
(1.5 in³)/(1 in³)
=1.5 cubes~2 cubes

7 0

3 years ago

She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159

Ugo [173]

Answer:

11 hours she worked at the grocery store

Step-by-step explanation:

assuming,

the number of hours worked at tutoring = x

the number of hours worked at grocery store = y

which means,

the amount she made at tutoring = x* $15

the amount she made at grocery store = y*$9

we have 2 equations

total number of hours

1) x+y= 15

total amount she earned

2) x* $15+ y* $9= $159

From equation 1

x+y= 15

x=15-y

we replace this x value in equation 2

x* $15+ y* $9= $159

(15-y)* $15+ y* $9= $159

(15*15)- 15y+9y=159

225-6y=159

225-159=6y

66=6y

66/6=y

11=y the number of hours she worked at grocery store.

we place y=11 in our derived x equation

x=15-y

x=15-11

x=4 the number of hours she worked at tutoring.

3 0

3 years ago

For A = {a,b}, determine A x P(A).

alex41 [277]

Answer:

Since A={a,b}, then $P(A)=\{\emptyset, \{a,b\}, \{a\}, \{b\}\}$ . Remember that the Cartesian Product of two sets A, B is defined by

$A\times B=\{(x,y): x\in A \text{ and } y\in B\}$ . Then

$A\times P(A)=\{(a,\emptyset),(a,\{a,b\}),(a,\{a\}), (a,\{b\}), (b,\emptyset),(b,\{a,b\}),(b,\{a\}), (b,\{b\})\}$

6 0

3 years ago

Plsss help it due today I don’t understand how to do this plssss don’t just take the points

tensa zangetsu [6.8K]

Answer:

d a m i dont even know this

Step-by-step explanation:

4 0

3 years ago