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tatyana61 [14]
3 years ago
14

Five less than 18 times the number 3, is less than or equal to -45. Write an inequality for this statement.

Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

18(3) -5 ≤ -45

Step-by-step explanation:

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I SERIOUSLY CANNOT DO THIS PLEASE HELP I WILL MARK BRAINLIEST IF YOU GIVE ME A STEP BY STEP ANSWER FOR THIS!
julia-pushkina [17]
What you do is multiply each number by 35. You get 35 by multiplying the denominators, 7 and 5. You then multiply the numerators and 51 by 35. Once you multiply the numerators you divide that answer by the denominator. Just remember, you multiply all of the numbers by 35 in this equation and ONLY divide the the answer by the denominator if it’s in a fraction.

When you convert them all..

10x+7=51

Now you can isolate the variable.

Subtract both sides by 7 so then it looks like..

10x = 24

Divide both sides by 10

Answer: x = 2 4/10; simplified to 2 2/5
7 0
3 years ago
Find the area of rectangle PLUM
torisob [31]

Answer:

A = 53.34 units ^ 2

Step-by-step explanation:

To find the length of the rectangle we solve the PLA triangle

Using the Pythagorean theorem we find the PL side.

PL = \sqrt{4^2+12^2}\\PL = \sqrt{16+144}\\PL = 12.65

Then the length of the rectangle is 12.65

Now we solve the MALU triangle. Where MU = PL

We use the Pythagorean theorem:

MU^2+LU^2 = (MA + AL)^2\\12.65^2+LU^2 = (MA+12)^2

Where LU and MA are unknown.

Finally we solve the triangle MPA

MA^2 + PA^2 = PM ^2

Where PM = LU

So:

MA^2 + 4^2 = LU^2

Now we have two equations and two unknowns. So we solve the system.12.65^2 + LU^2 = (MA + 12) ^2  (i)

MA^2+4^2 = LU^2  (ii)

We introduce (ii) in (i)

12.65^2 + MA^2+16=MA^2+24MA+144

Now we clear MA

160.02+16-1 44 = 24MA

32.02 = 24MA

MA = \frac{32.02}{24}

MA = 1.3342 (iii)

Now we introduce (iii) in (ii)

1.3342^2 + 4^2 = LU^2

LU = 4.2166

Now we have the length of the rectangle and also its width.

The area A of a rectangle is:

A = l*w

Where

 l = length

w = width

A = 4.2166*12.65

A = 53.34 units^2

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