Answer:
A
Step-by-step explanation:
The segment BC joining the midpoints of 2 sides of the triangle is
Half the length of the third side, that is
x + 31 = 2(x + 19)
x + 31 = 2x + 38 ( subtract x from both sides )
31 = x + 38 ( subtract 38 from both sides )
- 7 = x → A
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
<em>total number of hours</em>
1) x+y= 15
<em>total amount she earned</em>
2) x* $15+ y* $9= $159
From equation 1
x+y= 15
x=15-y
<em>we replace this x value in equation 2</em>
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
<u>11=y</u> <em>the number of hours she worked at grocery store. </em>
<em>we place y=11 in our derived x equation</em>
x=15-y
x=15-11
<u><em>x=4 </em></u><em>the number of hours she worked at tutoring. </em>
Answer:
276 Guests
Step-by-step explanation:
Calculation to determine how many guest were at the wedding
Guests that choose beef =1/3
Guests that choose chicken= 5/12
Guests that choose vegetarian=69
Now let calculate the how many guest were at the wedding
Let x represent the numbers of guest that were present at the wedding
Hence,
x/3 + 5x/12 + 69 = x
9x/12 + 69 = x
12x/12 - 9x/12 = 69
3x/12 = 69
x/4 = 69
x=69*4
x = 276 guests
Therefore the numbers of guests that were at the wedding is 276
