Answer:
125
Step-by-step explanation:
x*0.40=50
50/0.40=125
40% of 125=50
x=125
Answer:
Step-by-step explanation:
On the oval track, one lap is 1/4 of a mile. If p laps are completed, the expression that represents the total distance run based on the number of laps is
p × 1/4 = p/4 miles
With the above expression, we would determine the number of miles run buy a team member if we are given the number of laps by just inputting the number of laps for p. Therefore,
if a member of the track team completes 22 laps, the total distance covered by the member would be
22 × 1/4 = 5.5 miles
Answer:
y = -140
Step-by-step explanation:
Y varies directly with x
y = kx
We know y = -20 when x =2, we can solve for k
-20 = k*2
Divide each side by 2
-20/2= 2k/2
-10 =k
y = -10x
Now we want to find y when x = 14
y = -10 *14
y = -140
Answer:
d. 175 square inches
Step-by-step explanation:
If we assume the base is square and all triangular faces are congruent, then the lateral area of the figure is that of four triangles. Each triangle has an area that is half the product of its base and height:
A = (1/2)bh = (1/2)(7 in)(9 in) = 31.5 in^2
The area of the square base is the product of its length and width, both of which are 7 in.
A = lw = (7 in)(7 in) = 49 in^2
So, the total surface area is that of the base plus the four sides:
surface area = (49 in^2) + 4(31.5 in^2) = 175 in^2 . . . . . matches choice D
Answer:
X=4
Step-by-step explanation:
1/3(30x-12)=36
One solution was found :
x = 4
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1/3*(30*x-12)-(36)=0
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
1
(— • (30x - 12)) - 36 = 0
3
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
30x - 12 = 6 • (5x - 2)
Equation at the end of step 3 :
2 • (5x - 2) - 36 = 0
Step 4 :
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
10x - 40 = 10 • (x - 4)
Equation at the end of step 5 :
10 • (x - 4) = 0
Step 6 :
Equations which are never true :
6.1 Solve : 10 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
6.2 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
One solution was found :
x = 4