Explain how you solve this: -7 = -1 + x/3
Answers
Answer:
-18 =x
Step-by-step explanation:
-7 = -1 + x/3
Add 1 to each side
-7+1 = -1+1 + x/3
-6 = x/3
Multiply each side by 3
-6*3 = x/3*3
-18 =x
Related Questions
Divide. (-5w + 10w^8 + 5w^6) / (5w^5)A. -w^5+5w^3+w B. -5w^5 +10w^8+w C. -w^5+10w^8+5w^6 D. -w^5+2w^3+w
The fourth-grade students at Harvest School make up 0.3 of all students at the school. What fraction is equivalent to 0.3?
From the set {20, 38, 47}, use substitution to determine which value of x makes the inequality true. x - 9 > 29 a. 47 b.none of these c.38 d.20
The components of a position vector of a particle moving in the plane are What is the distance traveled by the particle from t = 1 to t = π?
Answers
X = 8
Y = 7
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Answer:
- center: (4, 3)
- radius: 5
Step-by-step explanation:
A graphing calculator can help you see the center is (4, 3) and the diameter is 10, so the radius is 5.
_____
Or, you can rearrange the equation to standard form by completing the squares.
x² -8x + y² -6y = 0 . . . . . subtract 6y, group terms
(x² -8x +16) +(y² -6y +9) = 16 +9 . . . . . complete the squares by adding the squares of half the coefficient of the linear term: (-8/2)²=16, (-6/2)²=9.
(x -4)² + (y -3)² = 25 . . . . . rewrite in standard form
Compare this to ...
(x -h)² + (y -k)² = r²
and recognize the center (h, k) is (4, 3), and the radius is √25 = 5.
Answers
Answer:
24 feet
Step-by-step explanation:
We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.
We have to find the dimensions of the sheet metal
Let x feet be the side of square metal sheet
Length of box=x-12 feet (because 6 feet removed from each corner)
Width of box=x-12 feet
Height of box=6 feet
Volume of box=864 cubic feet
We know that volume of cuboid=
Box is in cuboid shaped
Therefore, volume of box=
Then ,
x=0 is not possible because side of square metal sheet can not be zero
Therefore, x=24
All sides of square metal sheet are equal.
Hence, side of square metal sheet =24 feet
Final answer:
The original sheet of metal from which an open box holding 864 cubic feet is constructed by removing 6-foot squares from each corner and folding up the edges should be a square with a side length of 26 feet.
Explanation:
To answer your question about the open box constructed from a square piece of sheet metal, let's assume the original side length of the sheet metal is x feet. When squares of length 6 feet are removed from each corner and the edges are turned up, we're left with a box with length and width of (x - 2*6) feet and height of 6 feet.
Given that the volume of the box is 864 cubic feet, we set up this equation to find x:
(x - 12 feet)(x - 12 feet)*6 feet = 864 cubic feet.
Solving this equation gives us a value for x, which is the side length of the original square piece of sheet metal. Doing the math, we find x = 26 feet. So, the dimensions of the original sheet metal are 26 feet by 26 feet.
Learn more about Open Box Construction here:
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Answers
Answer:
Congruent
Step-by-step explanation:
By definition, congruent shapes have equal corresponding side lengths and equal corresponding angle measures, thus are identical. The question clearly states that Joan cut the fabric into two identical pieces with a straight cut through one of the vertices, hence the two triangles are congruent.
Answer:
Congruentword describes each of the two new triangles created by Joan's cut.
Answers
Answer:
5/6
Step-by-step explanation:
5 dog splitting 6 treats.