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stealth61 [152]
3 years ago
7

Which of the following options have the same value as 2%, percent of 90

Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

2 % of 90 is 1.8

<em><u>Solution:</u></em>

Given that we have to find 2 % of 90

Let us convert 2 % of 90 to decimal or fraction form

<em><u>2 % of 90</u></em>

Here, "of" represents multiplication or product

\rightarrow 2 \% \text{ of } 90 = 2 \% \times 90\\\\a \% \text{ can be written in fraction as } \frac{a}{100}\\\\\text{Therefore, the above expression becomes, }\\\\\rightarrow \frac{2}{100} \times 90\\\\\rightarrow 0.02 \times 90\\\\\rightarrow 1.8

Thus 2 % of 90 is 1.8

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Two more than the quotient of a number and 6<br> is equal to 8
xxTIMURxx [149]

Answer:

36

Step-by-step explanation:

"Two more" = + 2

"quotient of a number and 6" = n/6

"equal to 8" = = 8

Set the equation:

n/6 + 2 = 8

Isolate the variable n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 2 from both sides.

n/6 + 2 (-2) = 8 (-2)

n/6 = 8 - 2

n/6 = 6

Isolate the variable n. Multiply 6 to both sides.

(n/6)(6) = (6)(6)

n = 6 * 6

n = 36

36 is your answer.

~

3 0
3 years ago
A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a
sdas [7]

Answer:

y=-\dfrac{13}{49}x^2

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

y=ax^2+bx+c

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

-13=a(-7)^2+b(-7)+c

49a-7b+c=-13

(x,y) = (7,-13)

-13=a(7)^2+b(7)+c

49a+7b+c=-13

(x,y) = (0,0)

0=a(0)^2+b(7)+c

c=0

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13

49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13

we can solve these two equation using the elimination method, by simply adding the two equations

\quad\quad49a-7b=-13\\+\quad49a+7b=-13

------------------------------

\quad\quad 98a=-26

\quad\quad a=-\dfrac{13}{49}

Now we can plug this value of a in any of the two equations.

49a-7b=-13

49\left(-\dfrac{13}{49}\right)-7b=-13

-13-7b=-13

-7b=0

b=0

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

y=\left(-\dfrac{13}{49}\right)x^2+0x+0

y=-\dfrac{13}{49}x^2

49y=-13x^2

This our equation of the arch!

5 0
3 years ago
Which of the following is not a solution for finding the perimeter of the square?
kenny6666 [7]

Answer:

y

Step-by-step explanation:

y needs to provide a number

7 0
3 years ago
Find the product. Write your answer as a mixed number in simplest form 5 3\4 x 4 2\9
qaws [65]
The product of 5 3/4 X 4 2/9 is equal to 24 5/18
4 0
3 years ago
Help me pls pls help ​
mart [117]

Answer:

11

Step-by-step explanation:

Luke has a square patio, which means each side must have the same amount of tiles.

For example, he could have a 4 by 4 patio, 5 by 5, etc.

121 happens to be the square of 11. In other words, 11*11=121!

So, Luke can fit 11 tiles along each side of his patio.

6 0
3 years ago
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