Answer: x=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(8−x)−32=98−5(3x+24)
Step 1: Simplify both sides of the equation.
4(8−x)−32=98−5(3x+24)
(4)(8)+(4)(−x)+−32=98+(−5)(3x)+(−5)(24)(Distribute)
32+−4x+−32=98+−15x+−120
(−4x)+(32+−32)=(−15x)+(98+−120)(Combine Like Terms)
−4x=−15x+−22
−4x=−15x−22
Step 2: Add 15x to both sides.
−4x+15x=−15x−22+15x
11x=−22
Step 3: Divide both sides by 11.
11x
/11
=
−22
/11
x=−2
1 3/6 + 4/6 = 1 7/6 = 2 1/6
Answer:
793 liters of washing fluid is needed
Step-by-step explanation:
step 1
Find the slant height of the triangular faces of pyramid
we know that
The lateral area of a square pyramid is equal to the area of its four triangular faces
so
![LA=4[\frac{1}{2}bl]](https://tex.z-dn.net/?f=LA%3D4%5B%5Cfrac%7B1%7D%7B2%7Dbl%5D)
where
b is the base of triangle (is the same that the length of the square base)
l is the slant height
To find out the slant height we need to apply the Pythagorean Theorem
so
we have
substitute
step 2
Find the lateral area of the pyramid
we have
substitute
![LA=4[\frac{1}{2}(35.42)(27.96)]](https://tex.z-dn.net/?f=LA%3D4%5B%5Cfrac%7B1%7D%7B2%7D%2835.42%29%2827.96%29%5D)
step 3
Find out how much window washing fluid is needed
we know that
2 L of washing fluid cover 5 square meters
so
using proportion
Round up
793 liters of washing fluid is needed
Answer:
See below
Step-by-step explanation:
9 x 1/8 = 1.125
10 x 1/8 = 1.25
9 1/2 x 1/8 = 1.1875
12 x 1/8 = 1.5
8 1/2 x 1/8 = 0.5
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Find the volume of the first figure, then find the volume of the second figure, then add them together.
V=lwh
V(1)=(15)(12)(6)
= 1,080in^3
V(2)=(12)(6)(6)
= 432in^3
--------------------------------------------
1,080+432= 1,512 in^3
--------------------------------------------
Your answer should be 1,512
