Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Solve for x 2/3x-2=7
2
3
x
−
2
=
7
Combine
2
3
and
x
.
2
x
3
−
2
=
7
Move all terms not containing
x
to the right side of the equation.
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2
x
3
=
9
Multiply both sides of the equation by
3
2
.
3
2
⋅
2
x
3
=
3
2
⋅
9
Simplify both sides of the equation.
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x
=
27
2
The result can be shown in multiple forms.
Exact Form:
x
=
27
2
Decimal Form:
x
=
13.5
Mixed Number Form:
x
=
13
1
2
Step-by-step explanation:
Thank's………………………………
From the problem we know that Hanna saves one-half of her paycheck each week, so she saves
. Also, we know that her parents put $50 in her savings account each week, so the total amount she and her parents put in her saving's account is
.
Since we know that Hanna currently has <span>$1,280 in her saving's account and each week she and her parents deposit $130 to the account, with </span>
representing the number of weeks, we can model the situation as follows:
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
_____
<em>Additional comment</em>
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
