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Alex787 [66]
3 years ago
7

Evaluate. x-y/7 for x= 18 and y=4 x-y/7= __ ​(Simplify your​ answer.)

Mathematics
1 answer:
Alik [6]3 years ago
7 0
First I plug everything in so 18-4/7
then I solve the first part of the equation 18-4= 14
then I solve the second part which would be 14/7= 2
so your answer is 2
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Colin and amil Each built boxes with a volume of 8 ft.³ Collins box is a cube almils box is a rectangular prism the length of am
SOVA2 [1]

Answer:

4' x 2' x 1'

Step-by-step explanation:

Collins' cube has a volume of that is the length of any side, x, cubed:  Vol = x^3.  Since his box has 8^3, we can say that x = 2.  <u>[2^3 = 8]</u>

Amil's box has one side that is 2x.  That side would be 2*2 = 4 feet.  His volume is also 8 ft^3.  Amil's box also has a volume of 8 ft^3.

His box dimensions are therefore:  (4)(X)(Y) = 8 ft^3 , where X and Y are whole-number dimensions for the other 2 dimensions of his box.

(4)(X)(Y) = 8 ft^3

      X*Y = 2

The only combination of whole numbers for which this this would work is 1 and 2.

Amil's box is 4' x 2' x 1' or 8 ft^3

3 0
3 years ago
How would you write the following expression as a sum or difference? `"log"(root(3)(2 - x)/(3x))`
pashok25 [27]

<h3>log [ (√3)(2 - x)/(3x) ] = log (2 - x) - ¹/₂ log 3 - log x</h3>

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }

\boxed { (a ^ b) ^ c = a ^ { b . c } }

\boxed {a ^ b \div a ^ c = a ^ { b - c } }

\boxed {\log a + \log b = \log (a \times b) }

\boxed {\log a - \log b = \log (a \div b) }

<em>Let us tackle the problem!</em>

\texttt{ }

\log \frac{\sqrt{3}(2-x)}{(3x)} = \log \sqrt{3} + \log (2-x) - \log (3x)

\log \frac{\sqrt{3}(2-x)}{(3x)} = \log 3^{1/2} + \log (2-x) - (\log 3 + \log x)

\log \frac{\sqrt{3}(2-x)}{(3x)} = \frac{1}{2} \log 3 + \log (2-x) - \log 3 - \log x

\log \frac{\sqrt{3}(2-x)}{(3x)} = \log (2-x) - \frac{1}{2}\log 3 - \log x

\texttt{ }

<h3>Learn more</h3>
  • Coefficient of A Square Root : brainly.com/question/11337634
  • The Order of Operations : brainly.com/question/10821615
  • Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

7 0
3 years ago
A circular garden has a circumference of
omeli [17]

This solution to this problem is predicated on the fact that the circumference is just: 2\pir. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:

d\pi

So, solving for both the radius and the diameter gives us:

d\pi=8xy^2\pi\\ d=8xy^2\\ \\ 2\pi r=8xy^2\pi\\ r=4xy^2

So, the length of thes traight path that goes through the center of the guardain is just 8xy^2, and we can use the radius for the next part of the problem.

The area of a circle is \pi r^2, which means we can just plug in the radius and find our area:

A=\pi r^2 \implies \\ A=\pi (4xy^2)^2\implies \\ A= 16\pi x^2y^4

So, we have found our area(16 \pi x^2 y^4) and the problem is done.

6 0
4 years ago
Need help ASAP, I do not understand this one.
taurus [48]
2y+20=100
2y=80
y=40

The explanation for this would because because the two base angles of an isosceles triangle are equal so since the both equal to 40 degrees, in total would be 80 degrees.

Since the total degrees of a triangle is 180 and you know the base angles make up for 80 percent you subtract that from the total of the angle your trying to find, which is 2y+20.
6 0
3 years ago
Read 2 more answers
please help thank you
garik1379 [7]

Answer:

n = 18

Step-by-step explanation:

(2n) and (n + 18) are vertically opposite angles and are congruent, then

2n = n + 18 ( subtract n from both sides )

n = 18

8 0
3 years ago
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