Answer:
10 and 42
Step-by-step explanation:
The difficulty with word problems is translating them into math.
Let's do that
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The sum of a number and two times a smaller number is 62.
let's call the bigger number b, and the smaller number s
b + 2s = 62
Three times the bigger number exceeds the smaller number by 116
3b = s + 116
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Now manipulate one of the equations to isolate the variable
3b = s + 116
Subtract 116 from both sides
3b - 116 = s
substitute for s = 3b - 116 in
b + 2s = 62
b + 2(3b - 116) = 62
Distribute
b + 6b - 232 = 62
combine like terms
7b = 294
Divide both sides by 7
b = 42
to find s plug in b = 42 into
b + 2s = 62
42 + 2s = 62
subtract 42 from both side
2s = 20
divide both sides by 2
s = 10
Answer:
a cube that is 1 yard long, 1 yard wide, and 1 yard high
Step-by-step explanation:
The dimensions for a unit cube are:
<u>Please note that the units for each side MUST be the same (or if they're different, then the lengths have to be equivalent). </u>
<u />
Looking at the answer choices, we can see that the last answer choice is a 1 yd by 1 yd by 1 yd cube, therefore it is a unit cube.
-4x + 3(2x - 5) = 31 (use distributive property to remove parentheses)
-4x + 6x - 15 = 31 (combine like terms)
2x - 15 = 31 (add 15 to both sides)
+15 +15
2x = 46 (divide both sides by 2)
x = 23
The base of the prism is a 6 cm square. Any cross section parallel to the base has the same dimensions as the base, so is a 6 cm square. Its area is ...
(6 cm)² = 36 cm²
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
