B = hourly rate for babysitting and w = hourly rate for working at water park
3b + 10w = 109...multiply by -8
8b + 12w = 177...multiply by 3
----------------------
-24b - 80w = - 872 (result of multiplying by -8)
24b + 36w = 531 (result of multiplying by 3)
---------------------add
- 44w = - 341
w = -341/-44
w = 7.75 <=== hourly rate for working at water park
3b + 10w = 109
3b + 10(7.75) = 109
3b + 77.50 = 109
3b = 109 - 77.50
3b = 31.50
b = 31.50/3
b = 10.50 <== hourly rate for babysitting
The answer is:
1- A line of symmetry will connect a vertex and a midpoint of an opposite side.
2- It has
-fold symmetry.
The explanation for this answer is shown below:
1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.
2- An heptagon has seven vertices, therefore, based on the information mentioned above, it has
-fold symmetry.
Less than because 2.15 is a tenth greater.
Answer:
<em>The plant grew </em>
<em> inches</em>
Step-by-step explanation:
<u>Operations with Fractions</u>
Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.
We are required to find the total growth during the two weeks. We have to find the sum of:

Let's convert both fractions to improper form:

Adding the integers:

Now we find the LCM of 7 and 14 is 14, thus:




Rewriting as a mixed number:
The plant grew
inches
Answer:
$15
Step-by-step explanation:
Let Frank be f
Deandra be d and
Charlie be c
f = 3d ......(i)
c=$20+f.....(ii)
c=$65........(iii)
Equate (ii) and (iii)
$20+f = $65
f = $45.......(iv)
Equate (i) and (iv)
3d = $45
d = $15
Deandra has $15.