Answer:
8 hours
Step-by-step explanation:
You can solve this problem by inputting the values into an equation. Here is the equation below:
Lets solve for x. First you subtract 50 from 130.
1) 
2) 
Next, you divide 80 by 8 to get x by itself.
1) 
2) 
This means that you must mow lawns for 8 more hours to get a total of $130 in your bank account.
Answer:
See explanation
Step-by-step explanation:
Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.
In these triangles,
- ∠ABF ≅ ∠EDF - as two right angles;
- BF ≅ FE - given;
- ∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.
By ASA postulate (or HA postulate) these triangles are congruent, so
ΔABF ≅ ΔEDF
Congruent triangles have congruent corresponding parts, so
FA ≅ EF
Y = 2x - 3 . . . (1)
y = -2x + 5 . . . (2)
Equating (1) and (2),
2x - 3 = -2x + 5
2x + 2x = 5 + 3
4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1
Solution = (2, 1)
Answer:
8 dolls
Step-by-step explanation:
METHOD 1:
Step 1: Convert 25% into decimal (0.25)
Step 2: Multiply by 32 (32 × 0.25 = 8)
METHOD 2:
25% of a number will be one-fourth of that number. Divide 32 by 4 to get 8 (or multiply 32 by 1/4).
Answer:
an = (n+3)/(n+1)
Step-by-step explanation:
The sequence can be written as ...
4/2, 5/3, 6/4, 7/5, 8/6, ...
where the first numerator is n+3 and the first denominator is n+1. Each numerator and denominator increase by 1 from term to term, so the explicit formula can be written
an = (n+3)/(n+1)
