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4 years ago

Solve for x. Please show work.

Mathematics

1 answer:

irakobra [83]4 years ago

6 0

Answer:

First exercise: $x=7$

Second exercise: $x=2$

Step-by-step explanation:

Acording to the Intersecting Secants Theorem the products of the segments of two secants that intersect each other outside a circle, are equal.

Based on this, in order to solve the first exercise and the second exercise, we can write the following expressions and solve for "x":

First exercise:

$(5)(5+x)=6(6+4)\\\\25+5x=60\\\\5x=60-25\\\\x=\frac{35}{5}\\\\x=7$

Second exercise:

$(4)(4+x)=3(3+5)\\\\16+4x=24\\\\4x=24-16\\\\x=\frac{8}{4}\\\\x=2$

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What is the total cost of a sweatshirt if the regular price is $42 and the sales tax is 5.75%

makvit [3.9K]

X/42=0.0575
X=0.0575*42
X=2.415
42+2.415=$44.415
Hope this helps!

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4 years ago

Find the TWO integers whos product is -12 and whose sum is 1

konstantin123 [22]

Answer:

$\rm Numbers = 4 \ and \ -3.$

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .
The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x
Second number be 1-x .

According to first condition :-

$\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}$

Hence the numbers are 4 and -3 

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3 years ago

Line L passes through the origin and the point (3,4). What is the slope of a line parallel to line L?

Vlad1618 [11]

The answer to the question

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4 years ago

Read 2 more answers

Ben needs to buy orange juice. He can buy 64 fl oz at the grocery store for $2.00, or he can buy 256 fl oz at the wholesale club

crimeas [40]

Unit price so compare
2 gets 64 or 7.50 get 256
grocery store 2:64=1:32=32 oz per $1
wholesale club 7.5:256=1:34.133=34.133 oz per $1
wholesale club gets you more oz of juice for the same price

A: 32 oz per $1 or $0.031 per 1 oz
B: 34.133 oz per $1 or $0.029 per 1 oz
C: best deal is at wholesale club

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3 years ago

Given the box plot, will the mean or the median provide a better description of the center? box plot with min at 11, Q1 at 22. 5

Slav-nsk [51]

The median, because the data distribution is skewed to the right.

Given that

The box plot with the following parameters:

Minimum value at 11,

First Quartile, Q1 at 22.5,

Median at 34.5,

Third Quartile, Q3 at 36,

Maximum value at 37.5.

According to the question

When a distribution has a longer tail to one of its sides, then it is said to be skewed.

Since the tail is longer to the left, it is said to be left-skewed.

The data distribution is skewed to the left because the median (34.5) is closer to the third quartile (36) than to the first quartile (22.5).

For skewed data, we always prefer the median because it is less affected by the outliers and if the mean is chosen, the value of the mean is biased towards the side that has larger values while the median does not get affected by it. So, we choose the median.

For skewed distributions, the median is the best measure of center.

Hence, the median, because the data distribution is skewed to the right.

To know more about Mean click the link given below.

brainly.com/question/2508120

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3 years ago