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aleksandrvk [35]
3 years ago
9

2x + 3 (x - 10) = 45 ?? A. X =15 B. X=3 C. X=7 D. X=11

Mathematics
1 answer:
mario62 [17]3 years ago
3 0

Answer:

A. x = 15

Step-by-step explanation:

2x + 3 * (x - 10) = 45

2x + 3x - 30 = 45

5x - 30 = 45

5x = 75

x = 15

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Elsa drove 603 miles in9 hours at the same rate how many miles would she drive in 7 hours
bezimeni [28]

Answer:

469 miles

Step-by-step explanation:

divide 603 by 9 which is 67, multiply 7 into 67 and the answer into that is 469

hope that helps:)

4 0
2 years ago
Using differential calculus, maximize the volume of a box made of cardboard (top is open) as shown in Figure A. 15, subject to t
lana [24]

The maximum volume of the box is 40√(10/27) cu in.

Here we see that volume is to be maximized

The surface area of the box is 40 sq in

Since the top lid is open, the surface area will be

lb + 2lh + 2bh = 40

Now, the length is equal to the breadth.

Let them be x in

Hence,

x² + 2xh + 2xh = 40

or, 4xh = 40 - x²

or, h = 10/x - x/4

Let f(x) = volume of the box

= lbh

Hence,

f(x) = x²(10/x - x/4)

= 10x - x³/4

differentiating with respect to x and equating it to 0 gives us

f'(x) = 10 - 3x²/4 = 0

or, 3x²/4 = 10

or, x² = 40/3

Hence x will be equal to 2√(10/3)

Now to check whether this value of x will give us the max volume, we will find

f"(2√(10/3))

f"(x) = -3x/2

hence,

f"(2√(10/3)) = -3√(10/3)

Since the above value is negative, volume is maximum for x = 2√(10/3)

Hence volume

= 10 X 2√(10/3)  -  [2√(10/3)]³/4

= 2√(10/3) [10 - 10/3]

= 2√(10/3) X 20/3

= 40√(10/27) cu in

To learn more about Maximization visit

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Complete Question

(Image Attached)

3 0
1 year ago
Point m is the midpoint of kL. M(1,-1) and L(8,-7. What are the coordinates of point k?
Phoenix [80]

Answer: (-6, 5)

<u>Step-by-step explanation:</u>

Use the Midpoint Formula: \dfrac{(x_k, y_k)+(x_L,y_L)}{2}=(x_m, y_m)

Separate the x's and y's and solve them individually:

\dfrac{x_k+x_L}{2}=x_m\qquad \qquad \qquad \qquad\dfrac{y_k+y_L}{2}=y_m\\\\\\\dfrac{x_k+8}{2}=1\qquad \qquad \qquad \qquad \qquad \dfrac{y_k-7}{2}=-1\\\\\\x_k+8=2\qquad \qquad \qquad \qquad \qquad y_k-7=-2\\\\\\x_k\quad =-6 \qquad \qquad \qquad \qquad \qquad y_k\qquad =5

            So, the k-coordinate is (-6, 5)

3 0
3 years ago
What is the square root of 12383?
Stels [109]
<span> sorry it's such a long answer 111.278928823</span>
5 0
2 years ago
Read 2 more answers
Can someone help me?
juin [17]

Answer:

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Step-by-step explanation:

8 0
2 years ago
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