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kirill115 [55]
3 years ago
6

A construction crew is lengthening a road that originally measured 52 miles. The crew is adding one mile to the road each day. T

he length, L (in miles), after
d days of construction is given by the following.
L=52+d
N
What is the length of the road after 36 days?
Mathematics
1 answer:
kramer3 years ago
6 0
?=52+36=88 miles long
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A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was t
quester [9]

Number of registrations a website received during July = 2500

Number of registrations a website received during August = 2245

Number by which the registrations decreased :

=\tt 2500 - 2245

=\tt 255

Thus, the registrations decreased by 255.

Let x be the perrcentage of decrease.

Which means :

=\tt 255 =  \frac{x}{100}  \: of \: 2500

= \tt255 =  \frac{x \times 2500}{100}

=\tt 255 =  \frac{2500x}{100}

= \tt255 \times 100  = 2500x

= \tt25500 = 2500x

=\tt  \frac{25000}{2500}  = x

\color{plum} =\tt  \bold{10.2\%}

▪︎Thus, the percentage of decrease in the number of registered members = 10.2%

5 0
3 years ago
How can you use doubles when multiplying with 4 to find 4x8
pshichka [43]
4 = 2 * 2

Multiplying by 2 is the same a doubling.
Since 4 is 2 * 2, to multiply a number by 4, double the number twice.

Example:
What is 4 * 100?
Double 100 to get 200.
Double 200 to get 400.
Therefore, 4 * 100 = 400.
By doubling twice, we do the same as multiplying by 4.
4 0
3 years ago
7/2x + 1/2x + 5 1/2 + 92x <br> the value of x is..
jeka94

I'm not entirely sure what you mean but simplifying this expression results in 96x + 5 1/2.

8 0
3 years ago
A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len
aniked [119]

Answer:

a. V = (20-x) x^{2} in^{3}  

b . 1185.185 in^{3}

Step-by-step explanation:

Given that:

  • The height:  20  - x (in )
  • Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h *x^{2} in^{3}

<=> V = (20-x) x^{2}  in^{3}

b. What is the maximum possible volume of the box?

To  maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3x^{2} + 40x

Let dV / Dx = 0, we have:

-3x^{2} + 40x  = 0

<=> x = 40/3

=>the height h = 20/3

So  the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 in^{3}

7 0
3 years ago
Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3
Alchen [17]
Let's try the actual solution of the system

<span>y = –2x + 1
y = –2x – 3

Note that the slopes of the graphs of these two lines are the same:  -2.

That means that the lines are parallel to one another.

Only the y-intercepts (1 and -3) are different.

Since the 2 lines never intersect, the system has no solution.

</span>
8 0
4 years ago
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