Answer:
1/4
Step-by-step explanation:
To transform PQR into P'Q'R, dilate the preimage by 1/4, or shrink it by a scale factor of 4 because 3/12 = 1/4
23
%
=
23
100
=
0.23
First we have to think that the symbol
%
=
1
100
so that
23
%
=
23
⋅
(
1
100
)
this is read twenty three percent is equal to twenty three multiplied by one divided by one hundred.
the result is the fraction
23
100
Now, to convert to decimal, simply divide 23 by 100
23
÷
10
=
2.3
and
2.3
÷
10
=
0.23
this is the same as
23
÷
100
=
0.23
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
54 79 100 70 75 56 88
55 78 75 55 72 60 80
55 88 80 85 69 71 60
90 64 77 88 65 102 70
Class____frequency____cumulative frequency
54 - 63_____7_____________7
64 - 73_____7_____________14
74 - 83_____7_____________21
84 - 93_____5_____________26
94 - 103____2_____________28
Answer:
3 + 4 = 7 which is true.
Step-by-step explanation:
Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.
To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.
You also have to do the same to both sides, kind of like keeping a balance scale in balance.
In this case, we subtract 4 from both sides first:
3x + 4 -4 = 7 - 4
The + 4 - 4 cancel each other out, so you get:
3x = 3
3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:
3x / 3 = 3 /3
so 1x = 1.
Since 1x is "1 times x" it is the same as x by itself, so:
x=1
AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):
3 * 1 + 4 = 7
3 * 1 is 3, so:
3 + 4 = 7 which is true.
1 is the only number that works.
Hope this helped.
