<span>1. the sum of 12 and the quotient of 9 and a number
The responder's answer is not given but it can be 12 + (9 / n)
2. </span>the difference of 12 and the product of 9 and a number
The responder's answer would be <span>c. 12 – 9y
3</span>. the difference of 12 and the quotient of 9 and a number
The responder's answer would be <span>b. 12 – (9 ÷ y)
</span>
<span>4. 12 more than quotient of a 9 and number
</span>
The responder's answer would be<span> a. 12 + (9 ÷ y)</span>
Well you can simplify them by dividing by there greatest common factor.
In this case they can both divide by 12!
Thats the biggest number they can divide by...
Soo..
36 ÷ 12 = 3
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48 ÷ 12 = 4
So your answer is 3/4!
Good Luck! :)
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
<em>
</em>
This is a linear equation y = mx, where:
m= slope or reading rate:
x = the number of minutes
y = the number of pages read.
So the equation becomes: y = 4.5.x
How many minutes it will take to read 90 pages (y):
90 = 4.5.x or x = 90/4.5 and x = 20 minutes
So the ordered pair will be (20,90)