donuts and cream puffs were 45 & 4 respectively !
<u>Step-by-step explanation:</u>
Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts We need to find how many donuts and cream puffs were there . Let's find out:
Let number of donuts and cream puffs are x & y respectively ! So ,
- twice the number of donuts was only 6 less than 24 times the number of cream puffs
According to this statement equation is :
⇒ 
⇒ 
................(1)
- 10 times the number of cream puffs was only 5 less than the number of donuts
According to this statement equation is :
⇒ 
⇒ 
................(2)
Equation (1) & (2) :
⇒ 
⇒ 
⇒ 
Putting in :
⇒ 
⇒ 
Therefore , donuts and cream puffs were 45 & 4 respectively !
Based on the given conditions, formulate: 200x3/15/4
600/15x4
600/60
Answer is 10
Answer:
15.5 quarts
Step-by-step explanation:
1.5 +8 + 4 + 2
there is need to convert the measures that are not in quarts to quarts
1 gallon = 4 quarts : 2 x 4 = 8 quarts
1 cup = 0.25 quarts : 0,25 x 8 = 2 quarts
1 pint = 0.5 quarts : 0.5 x 3 = 1.5 quarts
Total quarts = 1.5 +8 + 4 + 2 = 15.5 quarts
Answer:
x = -2
Step-by-step explanation:
Given the point, (-2, 9) and the linear equation of a <u>horizontal line</u>, y = 6:
The linear equation of a horizontal line with a slope of zero (<em>m</em> = 0) is y = <em>b, </em>for which the y-intercept is (0, <em>b</em>). <u>Perpendicular lines</u> comprise of the intersection of two lines forming 90° angles.
Since we are given the equation of a horizontal line, then we can assume that <em>the line that intersects a horizontal line must be a </em><u><em>vertical line</em></u> in order to form perpendicular lines.
The linear equation of a <u>vertical line</u> with an undefined slope is <em>x</em> = <em>a</em>, for which the x-intercept is (<em>a</em>, 0). Vertical lines have an <u>undefined slope </u>because these lines do not have any horizontal change. Thus, when you try to solve for its slope, the denominator will have a difference of 0, making the mathematical operation undefined.
We can use the <u>x-coordinate</u> of the given point, (-2, 9), to formulate an equation for a vertical line: x = -2.
Therefore, the equation of the line that goes through y = 6 is x = -2.
Attached is a screenshot of the graph of both equations, y = 6 and x = -2, showing that their intersection form 90° angles, making them perpendicular lines.
Answer:
130º
Step-by-step explanation:
a line is 180º so if one angle is 50 then it's just 180-50
