Answer:
c = 15d + 30
Step-by-step explanation:
Hey there!
This can be represented by an equation of a line, where the number of days is our x-values(d), and the price is our y-values(c).
The price for one day ($45) and the price for 4 days($90) are specific points on that line.
The points are (1, 45) and (4, 90).
We can first find the slope of the line:
- As the price rises 45, the days increase by 3
- Slope = rise/run
- Slope = 45/3
- Slope = 15
Now we can find the base price, by plugging the slope and a point into the equation y = mx + b.
Solve for b:
- y = mx + b
- 45 = 15(1) + b
- 45 = 15 + b
- 30 = b
The base price (b) is 30.
The equation is 
Answer: 90% of students did NOT choose history.
Step-by-step explanation:
Art - 32.5%
Spanish - 7.5%
ELA - 10%
Math - 15%
Science - 25%
When added altogether each subject equals 90%, leaving the other 10 percent history. 90% is our answer since that is the number of people that voted for subjects other than history.
Hope This Helped, Have A Great Day!
Answer:
Given: ABCD is a parallelogram.
Prove: Angle A and B are supplementary and C and D are supplementary.
That is, m∠A + m∠B = 180° and m∠C + m∠D = 180°
Statement Reason
1. ABCD is a parallelogram 1. Given
2.m∠A=m∠C and m∠B=m∠D 2. Definition of parallelogram.
3.m∠A+m∠B+m∠C+m∠D=360° 3. Definition of quadrilateral
4. m∠A+m∠B+m∠A+m∠B=360° 4. By substitution
⇒ 2( m∠A + m∠B ) = 360°
⇒ m∠A + m∠B = 180°
Similarly, m∠C + m∠D = 180°
5.∠A and ∠C are supplementary, 5. Def. of Supplementary
∠ B and ∠D are supplementary
The fraction 44/12 is equivalent1 to 3 2/3.
This fraction is a IMPROPER FRACTION once the absolute value of the top number or numerator (44) is greater than the absolute value of the bottom number or denomintor (12). So, the equivalent fraction is a MIXED NUMBER which is made up of a whole number (3) and proper fraction (2/3).
The fraction 44/12 is equal to 44÷12 and can also be expressed in decimal form as 3.666667.
It would be 3/17 hope this helped and hope it's right
