Reshma's age = x
Reshma = x + 5
Reshma's father= 3x + 5
x + 5 + 3x + 5 = 70
4x + 10 = 70
4 x = 60
x = 15
So Reshma's age currently is 15 and 3(15), which is 45, is her father's age.
Answer:
840 courses
Step-by-step explanation:
One third of the people ate a two course meal: 105 people ate two course meals.
Two thirds of the people ate a three course meal: 210 people ate three course meals.
105X2 + 210X3 = 210 + 630 = 840 courses
Answer:
an average of 1.3 inches
Step-by-step explanation:
Using the mean absolute deviation, it can be concluded that the daily rainfall volume differs from the mean by an average of 1.3 inches.
What is the mean absolute deviation of a data-set?
The mean of a data-set is given by the sum of all observations divided by the number of observations.
The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.
The mean absolute deviation represents the average by which the values differ from the mean.
In this problem, the mean absolute deviation is of 1.3 inches, hence, it can be concluded that the daily rainfall volume differs from the mean by an average of 1.3 inches.
Answer:
C
Step-by-step explanation:
y=mx+b where m is the slope or weekly payments and b is the y-intercept or initial fee.
300 = 30w + 60 fits this
Answer:


Step-by-step explanation:
Given
Sequence: a+3b, a+7b, a+11b
2nd term = 19
5th term = 67
Required
Find a and b
First, the 5th term needs to be calculated;
Using formula for Arithmetic Progression (AP), the formula goes thus

Where n = 5
T_1 = a + 3b ------------ FIrst term
--- Difference between two successive terms




So,
becomes




Now that we have values for 2nd and 5th term;
From the second, T2 = 19 and T5 = 67
This gives
--- Equation 1
---- Equation 2
Make a the subject of formula in (1)

Substitute these values in equation 1
becomes


Collect like terms


Divide both sides by 12


Recall that b = 4
Substitute a = 19 - 7b and nothing will hire



Hence, the values of a and b are -9 and 4 respectively.