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VLD [36.1K]
3 years ago
7

8 is subtracted from a number,and then the difference is multiplied by 2.the result is 24.find the number

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer:

20

Step-by-step explanation:

suppose the number is x

so

(x-8) * 2 =24

x-8=12

x=12+8

x=20

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m<1=6x and m<3= 120. find the value of x for p to be parallel to q. the diagram is not to scale
lord [1]
M<1 = M<3
these 2 angles are equal for parallel lines
6x=120
X=120/6=20
5 0
3 years ago
Joshua has a ladder that is 25 ft long....HELP!!
madreJ [45]
For example 1ft = 12in so 12 is the number that you are going to multiply so just multiply 25×12 and that is your answer
7 0
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Solve the inequality.<br><br> 5/6t - 3≥3t + 6
Papessa [141]

Answer:

t ≤ -\frac{54}{13}

Step-by-step explanation:

\frac{5}{6}t−3−3t≥3t+6−3t

-\frac{13}{6}t−3≥6

-\frac{13}{6}t−3+3≥6+3

\frac{13}{6}t≥9

-\frac{6}{13}(-\frac{13}{6}t) ≥ -\frac{6}{13}(9)

t ≤ -\frac{54}{13}

6 0
2 years ago
jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i
FrozenT [24]

Answer:

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length  and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is    2(x +y) = 80

                         x + y =40

                               y = 40 -x

now the area of the rectangle A = length X width

                                                  A = x y

substitute 'y' value in above A = x (40 - x)

                                              A = 40 x - x^2 .....(1)

<u>Step :2</u>

now differentiating equation (1) with respective to 'x'

                                      \frac{dA}{dx} = 40 -2x     ........(2)

<u>Find the dimensions</u>

<u></u>\frac{dA}{dx} = 0<u></u>

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

<u>Step 3</u>:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

\frac{d^2A}{dx^2} = -2

Now the maximum area A =  x y at x =20 and y=20

                                        A = 20 X 20 = 400

                                         

<u>Conclusion</u>:-

The  dimensions are x =20 and y=20 of the garden that will maximize its area is 400

<u>verification</u>:-

The perimeter = 2(x +y) =80

                           2(20 +20) =80

                              2(40) =80

                              80 =80

8 0
3 years ago
Evaluate each expression for the given value (please answer all)
Anna [14]

Answer:

-20a - 65 = -104  for  a = 2.7

-6x + 52 = 45  for  x = 1 1/6

Step-by-step explanation:

-20a - 50  for  a = 2.7

Insert 2.7 in for a.

-20(2.7) - 50 = -54 - 50 = -104

-6x + 52  for  x = 1 1/6

Insert 1 1/6 for x.

-6(1 1/6) + 52 = -7 + 52 = 45

8 0
3 years ago
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