Answer:
A m = 48
B x = -24
C x = 16
Step-by-step explanation:
A. 1/6m - 3 = 5
1/6m = 5+3
1/6m = 8
multiply both side by 6
m = 8×6
m = 48
B. 2/3x-3 = 1/2 x-7
2/3 x - 1/2 x = -7 +3
1/6 x = -4
multiply 6 to the both side
x = -4×6
x= -24
C.x+x/2-4= x/4
x+x/2 - x/4 = 4
x + l/2 x - 1/4 x = 4
1/4 x = 4
multiply both side by 4
x= 4×4
x = 16
Answer:
4.76cm
Step-by-step explanation:
Given data
circumference= 15cm
The expression for circumference is
C= 2πr
substitute and solve for r
15= 2*3.14*r
r= 15/ 2*3.14
r=15/ 6.28
r= 2.38 cm
Hence the diameter is
D= 2r
D= 2*2.38
D=4.76cm
Step-by-step explanation:
<h3>Used:</h3>
Answer:
there are fourteen 4-point questions and twenty six 2-point questions.
Step-by-step explanation:
Given : A 40-question test has 108 possible points.
There are m 4-point questions and n 2-point questions.
So , equation for total number of questions in the test :
m + n = 40 | 4n + 2n = 108
Multiplying (i) by 2 , we get
2m + 2n = 80
Subtract (iii) from (ii) , we get
2m = 28
⇒ m = 28/ 2 = 14
Using value of m in (i) , we get
14 + n = 40 ⇒ n = 26
from this we get there are fourteen 4-point questions and twenty six 2-point questions.
hope this helped!
