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shusha [124]
3 years ago
9

Can someone help me solve y/7 =22​

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Answer:

y=154

Step-by-step explanation:

y/7=22

We simplify the equation to the form, which is simple to understand

y/7=22

Simplifying:

+ 0.142857142857y=22

We move all terms containing y to the left and all other terms to the right.

+ 0.142857142857y=+22

We simplify left and right side of the equation.

+ 0.142857142857y=+22

We divide both sides of the equation by 0.142857142857 to get y.

y=154

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Sphinxa [80]

Answer:

15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

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The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

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2 years ago
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Not sure how you need the answer - i would change it into a mixed number
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