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lyudmila [28]
3 years ago
8

7x-4=5x+15 solve the following equation

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0
Remember you can do anything to an equaiton as long as you do it to both sides


7x-4=5x+15
minus 5x both sides
2x-4=15
add 4 both sides
2x=19
divide by 2
x=19/2

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1. The sign outside Mrs. Washington’s catering company is in the shape of a trapezoid, as shown below.
inessss [21]

let's notice the tickmarks on  the left and right sides, meaning those two sides are twins, and therefore equal, so the perimeter is simply 2.5+2.5+3.5+2.5 = 11 ft.

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\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=2.5\\ b=3.5\\ h=2 \end{cases}\implies A=\cfrac{2(2.5+3.5)}{2}\implies A=6

3 0
3 years ago
The solid was created by connecting two congruent square pyramids to a rectangular prism.
AnnyKZ [126]

Answer:

  1920 square inches

Step-by-step explanation:

For a rectangular prism, the lateral area can be found by ...

  LA = Pl

where P is the perimeter, and l is the length.

For a square pyramid, the lateral area can be found by ...

  LA = (1/2)Ph

where P is the perimeter of the base, and h is the slant height of the triangular faces.

For a figure with a square cross section of perimeter P "capped" by square pyramids on either end, the total surface area is the sum of the lateral areas of the three components:

  SA = (Pl) + (1/2)Ph + (1/2)Ph

  SA = P(l+h) = (4×15 in)(14 +18 in) = (60)(32) in²

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The surface area of the solid seems to be 1920 square inches.

__

<em>Caveat</em>

If the figure is something other than what we have tried to describe, your mileage may vary. A diagram would be helpful.

3 0
3 years ago
Read 2 more answers
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