Answer:
156
Step-by-step explanation:
s8 = n/2 [2t + (n-1)(d)]
= 8/2 [2(2) + (8-1)(5)]
= 4 [4 + (7)(5)]
= 4 (4 + 35)
= 4 (39)
= 156
Answer:
Each muffin= 1.5; Each quart of milk= 3
Step-by-step explanation:
Let m represent muffins and q quarts of milk, so
8m+2q=18
3m+1q=7.50
*solve*
3m+1q=7.5
-1q -1q
3m=-1q+7.5
/3 /3 /3
m=-1/3q+2.5
*replace for m*
8(-1/3q+2.5)+2q=18
-2 2/3q+20+2q=18
-2/3q+20=18
-20 -20
-2/3q=-2
/-2/3 /-2/3
q=3
*replace to find m*
3m+1(3)=7.50
3m+3=7.5
-3 -3
3m=4.5
/3 /3
m=1.5
*replace to verify*
8m+2q=18
8(1.5)+2(3)=18
12+6=18
18=18
3m+1q=7.50
3(1.5)+1(3)=7.5
4.5+3=7.5
7.5=7.5
Answer:
n = -12/11
Step-by-step explanation:
4n = -7n - 12
4n + 7n = -7n - 12+7n
11n = -12
11n/11 = -12/11
Answer:
He could have asked the girls as well, and could have asked the entire class instead of just 10 students.
Step-by-step explanation:
By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.
An isometric transformation is a transformation in which the image is congruent to the pre-image. Both corresponding sides and corresponding angles are equal. A dilation is a transformation in which the corresponding angles of the image are congruent to the pre-image, but the corresponding sides are proportional. This ratio is determined by a scale factor. Dilations create similar images.
