Answer:
Answer B - y=[x]+7
Step-by-step explanation:
A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.
7 changes this.
Looking at the graph, we see that the y intercept is now 7.
How can this be? x was added to by 7.
If it was subtracted, it would be -7, not postive 7.
So the answer is y=[x]+7
Hope this helps!
Bob can buy 15 cupcakes for the price of 18 cookies.
Step-by-step explanation:
- Assume the cost of a cookie is $x, the cost of a brownie is $y and the cost of a cupcake is $z.
- It is given that 6 cookies and 2 brownies cost the same, so 6x = 2y, take this as equation 1.
- It is also given that 4 brownies cost the same as 10 cupcakes, so 4y = 10z, take this as equation 2.
- If we divide equation 2 by 2 we get, 2y = 5z so that the y value is the same as equation 1 and we can equate equation 1 and 3.
- We get 6x = 2y = 5z, 6x = 5z, dividing both sides by 5, we get 1.2x = z.
- We need to calculate how many cupcakes Bob can buy for the price of 18 cookies, So we must find the z value when the x = 18.
- If we multiply 1.2 with 15 we get 18 so we the last equation is multiplied with 12 so that 18x = 15z. 18 cookies and 15 cupcakes cost the same.
Cory gains 3 cars a year and Roger 1.
Cory - 18 (6 x 3) : Roger - 6 (6 x 1)
I Cory was to stop receiving cars for 3 years, while Roger kept getting them for 3 then they would have the same amount.
Answer:
The fraction is 
where the numeric value of x = 6 and 10-x =4.
Step-by-step explanation:
Given:
A number 10 we have to divide it into two parts and then when one part is divided by other with multiplication of its numerator the number obtained is 9.
Lets the number in numerator be 
Then
The number in denominator is 
According to the question:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
solving by middle term splitting.
⇒ 
⇒ 
⇒ 
Discarding the negative values.
⇒ 
Check:
So the fraction is 
then,
⇒ 
⇒ 
⇒ 
⇒ 
Left terms= Right terms
The fraction is where the number 'x' = 6 and 10-x = 4.
Let's start with #3.
To find the variable y, we know that it is supplementary to an angle that is 38 degrees, meaning that it measures (180-38) degrees, which is equal to 142 degrees.
To find the variable x, we know that in relation to the angle labeled 38 degrees, angle x is a vertical angle, and all vertical angles are congruent, or have the same measure. Thus, the variable x equals 38 degrees.
So the answer to #3 is d. x = 38, y = 142.
Now, let's move on to #4
The diagram shows a right angle which measures 90 degrees (designated by the square symbol), an angle that measures x degrees, and an angle that measures 56 degrees. We can assume from the diagram that the sum of all of these angles equals a straight angle, or 180 degrees.
Thus, 180 = 90 + 56 + x. When this equation is solved, x = 34.
Therefore, the answer to #4 is a. x = 34
