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inn [45]
3 years ago
10

If x/8 =5/4 then x=10 true false

Mathematics
1 answer:
galina1969 [7]3 years ago
3 0

Answer:

true

Step-by-step explanation:

given

\frac{x}{8} = \frac{5}{4} ( cross- multiply )

4x = 40 ( divide both sides by 4)

x = 10

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Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and fou
saw5 [17]

Answer:

height = 14.5 ft

width = length = 3.2 ft

Step-by-step explanation:

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

h = \frac{144-5a^{2}}{2a}     .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = \frac{144-5\times 3.2\times 3.2}{2\times 3.2}

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

6 0
3 years ago
Is LMN a right triangle?
adoni [48]

Answer:

True

Step-by-step explanation:

We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!

3 0
3 years ago
Read 2 more answers
What is the slope of the line?
babunello [35]

Answer:

3

Step-by-step explanation:

7 0
3 years ago
What is the value of x in the equation 1/2x - 3/4 = 3/8 - 5/8
Kitty [74]

The answer

x = 1

step by step

\frac{1}{2} x -  \frac{3}{4}  = \frac{3}{8}  -  \frac{5}{8} \\  \frac{1}{2} x = \frac{3}{8}  -  \frac{5}{8} +  \frac{3}{4}  \\  \frac{1}{2} x = \frac{3}{8}  -  \frac{5}{8} +  \frac{6}{8}  \\  \frac{1}{2}x =   \frac{4}{8}  \\  \frac{1}{2} x =  \frac{1}{2}  \\ x = 1

5 0
3 years ago
A=2,b=1 and c=4.What is 3ac-a+2b
kati45 [8]

Step-by-step explanation:

a = 2

b = 1

c = 4

<h2>Question:</h2>

3ac - a + 2b

= Solution ,

= 3 × 2 × 4 - 2 + 2 × 1

= 24 - 2 + 2

= 24 + 2 - 2

= 26 - 2

= 24

hence the answer is 24....

6 0
2 years ago
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