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saw5 [17]
3 years ago
7

What is 3 1/2 divided by 4/5?

Mathematics
2 answers:
ASHA 777 [7]3 years ago
8 0
Answer:
4 3/8 or 4.375
spin [16.1K]3 years ago
3 0

Answer:

4.375

Step-by-step explanation:

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The sum of the first number cubed and the second number is 500 and the product is a maximum.
soldier1979 [14.2K]

We are given the following information:

the sum of the first number cubed and the second number is 500

their product is a maximum

We are looking for the 2 missing numbers.

To answer this, let's represent the two numbers as x and w.

From the given, we can form the following equation:

x^3+w=500

We can then express y as:

w=500-x^3

We can express their product as:

x(500-x^3)=500x-x^4

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

\begin{gathered} f(x)=-x^4+500x \\ f^{\prime}(x)=-4x^3+500 \end{gathered}

Then we solve for the value of x where f'(x) = 0.

\begin{gathered} -4x^3+500=0 \\ -4x^3=-500 \\ x^3=125 \\ x=5 \end{gathered}

Then we use x = 5 to solve for the second number, w.

\begin{gathered} w=500-x^3 \\ w=500-5^3 \\ w=500-125 \\ w=375 \end{gathered}

Therefore, the two numbers are 5 and 375.

3 0
1 year ago
Which statement about this product is true? 0.44×(-53/4)
Nookie1986 [14]

Answer with explanation:

The number whose product we have to find is,

0.44 \times \frac{-53}{4}\\\\=\frac{44}{100} \times \frac{-53}{4}\\\\=\frac{-53 \times 11}{100}\\\\=\frac{-583}{100}=-5.83

→Actual Product = -5.83

When, you will round it to nearest Hundredth it is equal to -6.

Now ⇒ starting from option A

0.44 when rounded to nearest whole number is equal to 0.

So,

0 \times\frac{-53}{4}=0

is not closer to actual Product which is -5.83.

⇒Option B  

0.44 when rounded up≠1

Incorrect Statement

⇒Option C

-5.83, is not greater than -3.

Incorrect Statement

⇒Option D

True Statement

It is less than \frac{-53}{4} because multiplying a rational number by a number less than 1 gives a smaller number.

7 0
2 years ago
The 555 points plotted below are on the graph of y=\log_b{x}y=log
adell [148]

Answer:

See attachment for graph

Step-by-step explanation:

<em>See comment for correct question</em>

Given

y = \log_bx

Required

The corresponding points on y =b^x

On the graph, we have:

(x_1,y_1) \to (1,0)

(x_2,y_2) \to (2,1)

(x_3,y_3) \to (4,2)

(x_4,y_4) \to (8,3)

(x_5,y_5) \to (16,4)

First, we solve for b in y = \log_bx

Using laws of logarithm, the equivalent of the above is:

x = b^y

(x_2,y_2) \to (2,1) implies that:

2 = b^1

2 = b

Rewrite as:

b =2

So, the equation y =b^x becomes:

y = 2^x

Using the same values of x, we have:

(x_1,y_1) = (1,2)

(x_2,y_2) = (2,4)

(x_3,y_3) = (4,16)

(x_4,y_4) = (8,256)

(x_5,y_5) = (16,65536)

<em>See attachment for graph</em>

7 0
3 years ago
(6x – 8) + (–x + 7)
PSYCHO15rus [73]

Answer:

5x -1

Step-by-step explanation:

(6x – 8) + (–x + 7)

Combine like terms

6x -x   -8+7

5x -1

6 0
3 years ago
Read 2 more answers
How do you do this probhem 22.5 + 7(n−3.4)
Mariulka [41]
Distribute 7 to n-3.4 which is 22.5 + 7n - 23.8
6 0
3 years ago
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