Answer:
52 students are attending the arts class.
Step-by-step explanation:
Given that
Total number of students in the art class = 58
Percentage of students that cancelled on first day = 10.3%
First of all we have to calculate the number of students that cancelled on the first day
As the number of students cannot be in decimal number, so rounding off to nearest whole number will given us: 6
6 students cancelled the class. So,
Number of students attending the class are:
Hence,
52 students are attending the arts class.
Answer:
19.25$
Step-by-step explanation:
2bags=5.50
7bags=x
x=5.50*7/2
x=19.25$
7/8(x-1/2)= -49/80
Multiply the bracket by 7/8
7/8x-7/16= -49/80
Move -7/16 to other side. Sign changes from -7/16 to +7/16
7/8x-7/16+7/16= -49/80+7/16
7/8x= -49/80+7/16
Find common denominator for 7/16 which is 5. Multiply 5 for the numerator and denominator.
7(5) / 16 (5)
= 35/80
7/8x= -49/80+35/80
7/8x= -14/80
Reduce -14/80 , divide by 2
(-14) /2=7 , 80/2= 40
-14/80= -7/40
7/8x= -7/40
Multiply by 8/7
7/8x*8/7= -7/40 * 8/7
Cross out 7 and 7 , and divide by 7. Cross out -7 and 7 and divide by 7. Cross out 40 and 8 divide by 8.
x= -1/5
Answer: x= -1/5 - G.
Given:
A figure of two congruent triangles.
To find:
The triangle congruence postulate by which the given triangles are congruent.
Solution:
First label the vertices as shown below.
In triangle ABC and triangle CDA,
(Given)
(Given)
(Common side)
The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.
[SAS congruence postulate]
Therefore, the correct option is B.
The cost of one sweatshirt is $19.
Step-by-step explanation:
Let,
Cost of one pair of jeans = x
Cost of one sweatshirt = y
According to given statement;
5x+2y=233 Eqn 1
3x+4y=193 Eqn 2
Multiplying Eqn 1 by 2
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 7
Putting x=39 in Eqn 2
Dividing both sides by 4
The cost of one sweatshirt is $19.
Keywords: linear equation, subtraction
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