Answer:
(B) 20
Step-by-step explanation:
Let small puppet be represented by-----------------s
Let large puppet be represented by-----------------l
Total number of puppets expression will be: s+l =25---------a
The expression for total costs will be : 1$ s + $2l=$30-------b
Equation a can be written as; s= 25-l ------------c
Use equation c in equation b as
$1( 25-l )+$ 2l = $30
25-l + 2l = 30
25+l =30
l= 30-25 =5
l, large puppets = 5
s, small puppets = 25-5 = 20
Answer choice A is incorrect because 25 is the total number of all puppets
Answer choice C and D are incorrect because the numbers are less that that of small puppets.
Answer: AB = 12.5, BC = 15
<u>Step-by-step explanation:</u>
Perimeter of ΔBCD = BC + CD + BD. Since it is an isoceles triangle, then BC = CD = BD. So, Perimeter of ΔBCD = 3BC
3BC = 45
<u>÷3 </u> <u>÷3 </u>
BC = 15
Perimeter of ΔABC = AB + BC + AC. Since it is an isosceles triangle with BC as the base, then AB = AC. So, Perimeter of ΔABC = 2AB + BC
2AB + BC = 40
2AB + 15 = 40
<u> -15</u> <u> -15 </u>
2AB = 25
<u>÷2 </u> <u>÷2 </u>
AB = 12.5
A ratio that is equivalent to 8/3 is 16/6.
Because:- 8*2= 16
3*2=6
16/6 is equivalent to 8/3
Writing a proportion:-
8/3=16/6
Answer:
y = 0.5x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 0.5x - 2 ← is in slope- intercept form
with slope m = 0.5
Parallel lines have equal slopes, thus
y = 0.5x + c ← is the partial equation
To find c substitute (- 2, 1) into the partial equation
- 1 = - 1 + c ⇒ - 1 + 1 = 0
y = 0.5x + 0 , that is
y = 0.5x ← equation of parallel line
Answer:
14 month
Step-by-step explanation:
Lets create equations for these two gyms. I believe this is an algebra 1 problem.
Community Gym: y=70x+50
Workout Gym: y=60x+190
Because both gyms are equal to y, we can set them together and solve for x.
70x+50=60x+190
10x=140
x=14
You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months
Therefore, after 14 months you will have paid the same amount for both gyms.