Here is your answer
Money saved on each successive day is-
$3, &5, $7....
Clearly it forms an AP,
where
a1= 3
common difference, d= 2
n=20
So,
using formula
Tn= a1+(n-1)d
T20= 3+(20-1)2
= 3+ 19×2
= 3+ 38
=41
So, money saved on August 20= $41
Sum of money saved upto August 20 =
n/2 (a1+T20)
= 20/2 (3+41)
= 10× 44
= $440
HOPE IT IS USEFUL
Answer:
Step-by-step explanation:
3x+2x+7=22
5x+7-7=22-7
5x=15
5x/5=15/5
X=3
Linear equations are all solved the same way. Figure out the operations performed on the variable. Undo those in reverse order.
Here, the variable is
- divided by 2
- has -7 added.
In reverse order, we undo these operations by
- adding 7
- multiplying by 2.
Whatever we do to one side of an equation, we must also do to the other side. That is how the equal sign remains valid.
2 = m/2 -7
2 +7 = m/2 -7 +7 . . . . . add 7
9 = m/2 . . . . . . . . . . . . simplify
2*9 = 2*m/2 . . . . . . . . multiply by 2
18 = m . . . . . . . . . . . . . simplify. (You know that 2/2 = 1, and m*1 = m.)
The answer is m = 18.
_____
Check:
.. 2 = 18/2 -7
.. 2 = 9 -7 . . . . . . . true. The answer checks OK.
<h3>
Answer: 38.1</h3>
====================================================
Explanation:
Segment AB is tangent to circle C. That tells us angle ABC is a 90 degree angle (the tangent is always perpendicular to the radius at the point of tangency). In other words, segments AB and BC are perpendicular. So triangle ABC is a right triangle.
The hypotenuse is AC = 22+22 = 44 units. One of the legs is BC = 22 units, due to the fact that radii of the same circle are the same length.
We then use the pythagorean theorem to find the missing leg length.
(AB)^2 + (BC)^2 = (AC)^2
(AB)^2 + (22)^2 = (44)^2
(AB)^2 + 484 = 1936
(AB)^2 = 1936 - 484
(AB)^2 = 1452
AB = sqrt(1452)
AB = 38.105118 which is approximate
AB = 38.1 after rounding to the nearest tenth
If you would like to know which one of the options is better to buy, you can calculate this using the following steps:
3 sandwiches ... $4.95
1 sandwich ... $x = ?
______________________
3 * x = 1 * 4.95 /3
x = 4.95 / 3 = $1.65
4 sandwiches ... $6.72
1 sandwich ... $y = ?
______________________
4 * y = 1 * 6.72 /4
y = 6.72 / 4 = $1.68
Result: You should buy sandwiches from the first option ($1.65 < $1.68 per unit).
