Answer:
Part A:
x+y= 95
x = y+25
Part B: 35 minutes
Part C: No
Step-by-step explanation:
Eric spends a total of 95 minutes daily playing basketball and volleyball combined.
x+y= 95
Where:
x =minutes Eric plays basketball
y = minutes he allocates to volleyball
He dedicates 25 minutes more to basketball compared to volleyball.
x = y+25
Equations are:
x+y= 95
x = y+25
Substituting x=y+25 into the first equation yields:
(y+25) + y =95
Solving for y
y+25+y =95
25+2y=95
2y=95-25
2y=70
y = 70/2
y = 35 minutes
Part C: No
If x = 35
x+y= 95
35+y =95
y= 95-35
y = 60 minutes
Inserting y=60 into the other equation:
x = y+25
35 = 60+25
35 ≠85
No, the bat won't fit because 30 divided by 17 equals 1.765
The mistake lies in the fact that the logarithms have different bases. The one-to-one property of logarithms cannot be applied unless the bases are identical. <span>To correct this, the change of base formula should be used to express the logarithms with a uniform base.
I have confirmed this using Edge.</span>
Answer:
The proportion of goats at fair Y exceeds that of goats at fair X.
Step-by-step explanation:
From the bar chart, we see there were 100 goats at both fairs X and Y.
Calculating the percentage of goats at each fair we find:
Fair X = 100/645 * 100 = 15.5%
Fair Y = 100/590 * 100 = 16.9%
This indicates that fair Y had a higher percentage of goats compared to fair X.
Answer:
55°
Step-by-step explanation:
The problem does not have a suitable diagram. Please check the attachment for the diagram.
Observing the diagram, it is evident that the triangle is isosceles, as it has two sides that are congruent (i.e., the same length). Since these sides are identical, the base angles are consequently also equal.
From the diagram, <EFG = <EGF
Since <EFG = 55°, it follows that <EGF = y = 55°
Thus, the value of y is established as 55°
