5.6-4.9=x
.7= x is the answer not .8
Answer:
y = 1
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = 25 when x = 
, then
25 = 
= 5k ( divide both sides by 5 )
5 = k
y = 
← equation of variation
When x = 5, then
y = 
= 1
Answer:
There were 26 students in his class and the teacher had 83 ml of the solution.
Step-by-step explanation:
Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:
x = 3*n + 5
(x + 21)/n = 4
x + 21 = 4*n
x = 4*n - 21
Now that we have two equations and two variables we can solve the system of equations, as seen bellow:
3*n + 5 = 4*n - 21
3*n - 4*n = -21 - 5
-n = -26
n = 26
x = 4*26 - 21 = 83 ml
There were 26 students in his class and the teacher had 83 ml of the solution.
Answer:
A) 40 feet.
B) 7 inches.
Step-by-step explanation:
A) To acquire 8 inches, multiply the corresponding scale factor by 8:
1 inch equals 5 feet; 8 inches equals 40 feet
The genuine house stands 40 feet tall.
B) You can write the percentage if you want...
dwg / (35 feet) = 1 in / (5 ft)
When you multiply by 35 feet, you get...
7 in dwg = (1 in)(35 ft)/(5 ft)
In the scale drawing, the home measures <em>7 inches in length</em>.
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees
The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
