The answer is 5 books.
m - the number of books sold on Monday
t - the number of books sold on Tuesday
w - the number of books sold on Wednesday
<span>On Tuesday, she sold twice as many books as she did on Monday: t = 2m
</span><span>On Wednesday, she sold 6 fewer books than she did on Tuesday: w = t - 6
</span><span>During the three days Rachel sold 19 books: m + t + w = 19
</span>t = 2m
w = t - 6 = 2m - 6
m + t + w = 19
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Substitute t and w in the third equation:
m + 2m + 2m - 6 = 19
5m - 6 = 19
5m = 19 + 6
5m = 25
m = 25 : 5
m = 5
Answer:
- FALSE
- TRUE
- TRUE
Step-by-step explanation:
<u>1.</u>
- Non-standard units can be used to measure volume
- Examples : m³, in³, cm³, mm³, L
<u>2.</u>
- The volume of a rectangular prism can be found by multiplying the length, width, and height
- <u>V = lwh</u>
<u />
<u>3.</u>
- If there are smaller units, then naturally more of the units will be used
- If there are larger units, then less of the units will be used
Hello!
<h2>Answer:</h2><h2 />
![\boxed{ \bf The~surface~area~of~the~pyramid~is~348~m^2}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5Cbf%20The~surface~area~of~the~pyramid~is~348~m%5E2%7D)
_____________________________________________
<h2>Explanation:</h2>
Step 1: Find the slant height of the face of the triangle. (The hypotenuse is the slant height of the pyramid, so that's what we're looking for.)
We already have one leg (it's 6 cm). The second leg of the triangle is 6 because if you chop the base length in half, you will get the second leg.
Leg 1 = 6
Leg 2 = 6
Now, use this to find the hypotenuse (slant):
S² = 6² + 6²
S² = 36 + 36 = 72
S = 8.49
Next, use the formula for area of a triangle to find the area of all four triangle sides:
a = 1/2 × b × h
a =1/2 × 12 × 8.49
a = 101.88 ÷ 2
a = 50.94
Multiply this number by 4 to get the surface area of all four triangular faces:
50.911686 × 4 = 203.76
Now, find the area of the square base:
a = l × w
a = 12 × 12
a = 144
We're almost done! Finally, add the area of the square base to the area of the four triangles.
144 + 203.76 = 347.76
You can round this to 348.
Have a fabulous day! :)
Answer:
B. The quadrilaterals are all the same size and shape.
Step-by-step explanation:
Lauren was drawing a tower ONLY using SIMILAR quadrilaterals, so since that is, since the quadrilaterals are similar, then they must have the same size and shape.
Answer:
b: elimination
Step-by-step explanation:
My vote is for elimination, though any of these methods (and some not listed) will get an answer quickly.
Subtracting the second equation from twice the first gives ...
2(9x +8y) -(18x -15y) = 2(7) -(14)
31y = 0 . . . simplify
y = 0 . . . . . divide by 31 (or invoke the zero-product rule)
Then the value of x can be found from the first equation:
9x = 7
x = 7/9
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I like this method because it tells you that y=0 in one step. (Graphing does the same.) For the numbers here, you can do it mentally. Once you recognize that the x-coefficients and the constants are related by the same factor, and that factor is different for the y-coefficients, it becomes apparent that elimination will immediately tell you that y=0.