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2 years ago

Help please and explain

Mathematics

2 answers:

tresset_1 [31]2 years ago

5 0

Answer:

30 ft

Step-by-step explanation:

We can use ratios

3 6

------ = ------------

15 x

Using cross products

3x = 6*15

Divide each side by 3

3x/3 = 6*15/3

x = 30

Yuki888 [10]2 years ago

4 0

Answer:

30 ft

Step-by-step explanation:

6/3 = x/15

2 = x/15

2×15 = x

30 = x

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2 years ago

If x is divided by 5 the remainder is 4. If why is divided by 5 the remainder is 1. What is the remainder when x+y is divided by

Naddik [55]

Answer:

Step-by-step explanation:

We are given the following:

$\frac{x}{5}=q_1+\frac{4}{5}$ (equ. 1)

$\frac{y}{5}=q_2+\frac{1}{5}$ (equ. 2)

We are asked:

$\frac{x+y}{5}=q_3+\frac{r}{5}$ (equ. 3) , what is $r$ ?

The $q_i$ 's represent the quotients you get.

$r$ is the remainder of dividing $x+y$ by 5.

We know that $r$ is a number in {0,1,2,3,4}.

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$y=5q_2+1$ (I got this by multiplying both sides of equ 2. by 5.)

Let's add these equations together:

$x+y=(5q_1+5q_2)+(4+1)$

Factoring the 5 out for the $q_i$ 's part and simplify 4+1 gives:

$x+y=5(q_1+q_2)+5$

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$x+y=5(q_1+q_2+1)$

So $q_3=q_1+q_2+1$ while there is no remainder (the remainder is 0).

Let's do an example if you are not convinced at this point that the remainder will be 0.

So choose x=9 since 9/5 gives a remainder of 4.

And choose y=16 since 16/5 gives a remainder of 1.

x+y=9+16=25 and 25/5 gives a remainder of 0.

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2 years ago

Two numbers that differ by 46

Reil [10]

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum

Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers

we know that

$x-y=46\\ y=x-46$ -----> equation 1

$P=x*y$ -----> equation 2

substitute equation 1 in equation 2

$P=x*[x-46]\\ P=x^{2} -46x$

using a graph tool

see the attached figure

Find the value of x for that the product P is a minimum

the vertex is the point $(23,-529)$

that means, for $x=23$

the product is a minimum $P=-529$

find the value of y

$y=x-46\\ y=23-46\\ y=-23$

therefore

the answer is

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