Answer:
4 + ( -7 X 2 ) = -10
Step-by-step explanation:
Check work:
-7 times 2 is -14.
4 + -14 = -10
Answer:
24 cubes
Step-by-step explanation:
You can figure this a couple of ways.
I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.
The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.
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Another way to figure this is to compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.
Prism volume = l×w×h = (2 cm)(1 cm)(3/2 cm) = 3 cm³
Cube volume = (1/2 cm)³ = 1/8 cm³
Then the number of cubes that will fit in the prism is ...
(3 cm³)/(1/8 cm³) = 3×8 = 24 . . . . cubes
9514 1404 393
Answer:
y = -x -12
Step-by-step explanation:
The slope of the line you want is the same as the slope of the line you have: -1. Then the point-slope equation of the line is ...
y -k = m(x -h) . . . . . . line of slope m through point (h, k)
y -(-7) = -1(x -(-5))
y = -x -5 -7 . . . . subtract 7, eliminate parentheses
y = -x -12 . . . slope-intercept equation
Answer:
The number sold at $12.50 is 25
The number sold at $9.50 is 62
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
x 12.50 + y 9.50=901.50
x+y= 87
Where
x= number of pottery pieces sold
y= number of pottery pieces sold at a decreased price
Multiplying the second equation by 9.50, and subtracting the second equation to the first equation:
12.50 x + 9.50y = 901.50
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9.50 x+ 9.50 y= 826.5
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3 x = 75
Solving for x
x =75/3
x = 25
Replacing x=25 on any equation:
x+y= 87
25+y =87
y=87-25
y= 62
Answer:
Graph 4
Step-by-step explanation:
Parallel lines have no solution to the system of equation. Graph 4 is a set of parallel lines, so they will never intersect.