A company sells a mix of peanuts and cashews. For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts. How many ounces of cashews will a batch have?
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Answer:
Proportion states that the two ratios or fraction are equal.
As per the given statement: For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts.
Let x be the ounces of cashew will a batch have.
then by definition of proportion, we have;
By cross multiply we have;
Divide by 3 on both sides we get;
therefore, 40 ounces of cashews will a batch have for every 60 ounces of peanuts.
60 divided by 3 is 20
therefore 2 x 20 = 40
40 cashews
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The temperature was −10 °F and dropped by 16 °F. Which statement represents the resulting temperature in degrees Fahrenheit? A −10 + 16 = 6 B 10 − (−16) = 26 C −10 − 16 = −26 D −10 − (−16) = −6
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Answer:
Step-by-step explanation:
Let and
.
The slope of AC can be found using
Substitute the variables to get;
Answer:
The correct option for the answer for given problem is D.
Step-by-step explanation:
The coordinates of point A are given to be : (a, b)
And the coordinates of point C are given to be : (c, d)
Now, we need to find the slope of the line AC :
Slope of any line is given by the formula :
So, Slope of line Ac will be :
Therefore, The correct option for the answer for given problem is D.
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x = ?
I tired this but I keep getting 6! Thanks
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38 + x = 32
x = ?
To answer this we have to SUBTRACT 32 by 38 (You were probably doing 38 - 32). Lets do it:-
32 - 38 = x
32 - 38 = -6
x = -6
CHECK OUR WORK:-
38 + x = 32
x = -6
38 + -6 = 32
We were RIGHT!!
So, x = -6
Hope I helped ya!!! xD
Most mistakes people make when doing this kind of math is that they forget the X and move along.
So, let's solve for X --
38 + x = 32
° Step 1 - Simplify both sides of the equation.
x + 38 = 32
° Step 2 - Subtract 38 from both sides.
x + 38 - 38 = 32 - 38
We can now see that x = -6. Well, at least you were close! All you forgot was the negative sign!
x = -6
↑ ↑ ↑ Hope this helps! :D
B. 1/4
C. 1/3
D. 3/4
Help fassst ! <3
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Thus, a2 = 430
sq of a = 20.736.
I hope this helps.
Answers
(1,4) times 3 is (3,12)
(2,6) times 3 is (6,18)
(5,4) times 3 is (15,12)
The coordinates are (3,6) (3,12) (6,18) (15,12).
Hope this helps!
Final answer:
If polygon ABCD with vertices A (1, 2), B (1,4), C(2,6), and D (5, 4) is dilated by a factor 3, the coordinates of the dilated polygon are A' (3, 6), B' (3, 12), C' (6, 18), and D' (15, 12).
Explanation:
When a polygon is dilated by a scale factor, all the coordinates of its vertices are multiplied by that scale factor. In this case, the scale factor is 3. Thus, we should multiply the x and y coordinates of each vertex by 3.
Let's calculate:
- Vertex A (1, 2) dilated by scale factor 3 becomes A' (1*3, 2*3) => A' (3, 6)
- Vertex B (1,4) becomes B' (1*3, 4*3) => B' (3, 12)
- Vertex C (2,6) becomes C' (2*3, 6*3) => C' (6, 18)
- Vertex D (5, 4) becomes D' (5*3, 4*3) => D' (15, 12)
So, the coordinates of the dilated polygon ABCD are A' (3, 6), B' (3, 12), C' (6, 18), and D' (15, 12).
Learn more about Polygon dilation here:
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