The average score of all the students in both classes is 84.
<h3>How to calculate the average?</h3>
The class with 30 students had an average score of 80 on a test. The total score will be:
= 30 × 80
= 2400
A class with 20 students had an average score of 90 on the same test. The total score will be:
= 20 × 90
= 1800
Total scores = 2400 + 1800 = 4200
Number of students = 20 + 30 = 50
The average score will be:
= Total score / Total students
= 4200 / 50
= 84
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Answer:
4
Step-by-step explanation:
47 - 43 = 4
Answer:
ties cost $3
shirts cost $15
Step-by-step explanation:
s=shirts
t = ties
3 shirts and 5 ties cost $60:
3s+5t=60
2 shirts and 3 ties cost $39:
2s+3t=39
−2(3s+5t=60)
3(2s+3t=39)
−6s−10t=−120
6s+9t=117
add equations together:
−t = −3
t = 3
so ties cost $3, use either of the original equations to solve the price of shirts:
2s+3⋅(3)=392
s+9=392s=30
s=15
so shirts cost $15
The missing steps are each right angles and .
Solution:
Step 1: Given data:
Step 2: In the two polygons,
and
(Each right angle)
Step 3: Given
Step 4: By third angle theorem,
If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.
Step 5: By the definition of congruent polygons,
If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.
Hence .
Therefore the missing steps are each right angles and .
Answer:
$93
Step-by-step explanation:
If he earns $7.75 a day, and he walks dogs for 12 days, you just have to multiply 7.75 by 12, which is 93. That means he gets $93.