Which value of x makes the equation 1.25(4x+2)=32.5

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Answer: x=6

Step-by-step explanation:

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Chet found a pair of sunglasses that he would like to buy. they normaly cost $43.00, but this week they are on sale for only 7/8

Tresset [83]

Ok, so this is a simple problem
since its 7/8 of the price now, you do $43 divided by 8 to get the unit rate...
5.375 which rounds up to $5.38.
now since theres only 7/8, do 5.38x7 and your answer will be $37.66

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3 years ago

If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, a

Karolina [17]

Let h = height of the box,
x = side length of the base.

Volume of the box is $V=x^{2} h = 115$ .
So $h = \frac{115}{ x^{2} }$

Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
$S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x$
$= 2 x^{2} + \frac{460}{x}$
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.

$S' = 4x- \frac{460}{ x^{2} } = 0$
$4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86$
Then $h= \frac{115}{4.86^{2}} = 4.87$
So the box is 4.86 in. wide and 4.87 in. high.

5 0

3 years ago

Read 2 more answers

Use a graphing calculator to find the value of the correlation coefficient r to determine if there is a strong correlation among

OlgaM077 [116]

The value for r = - 0.8535 , there is strong correlation between the variables.

<h3>What is a correlation coefficient ?</h3>

Correlation coefficient describes the relationship between the two variables in the data .

The data given is

(1, 7), (2, 5), (3, -1), (4, 3), (5, -5)

Assuming Linear Regression ,

The data is plotted on the graphing calculator