Step-by-step explanation:
so ,
Question 6 :-
5 × (3+4) - 4
first solve the Bracket ......
5 × (7) - 4
after multiplication ......
35 - 4
= 31
so , Answer is 1st one ....
Question 7 :-
8 + 1/2 × (6-2) -1
so , here also solve the Bracket first .....
8 + 1/2 × (4) - 1
after multiplication .....
8 + 2 - 1
after + and - .......
10 - 1
= 9 .......
so , Answer is 2nd one .....
Answer:
O It has the same slope and a different y-intercept.
Step-by-step explanation:
y = mx + b
m = 3/8
b = 12
y = (3/8)x + 12
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Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).
Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).
Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8
Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1
Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8
The slope of the equation is the same as the data in the table.
Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)
y = (3/8)x + b
Use (-2/3, -3/4)
-3/4 =- (3/8)(-2/3) + b
-3/4 = (-6/24) + b
b = -(3/4) + (6/24)
b = -(9/12) + (3/12)
b = -(6/12)
b = -(1/2)
The equation of the line formed by the data table is y = (3/8)x -(1/2)
Therefore, It has the same slope and a different y-intercept.
Total amount of gas purchased by Ivy's father in the first week = 22.5 gallons
total amount of gas purchased by Ivy's father in the second week = 19.71 gallons
Let us assume the amount of gas purchased by Ivy's father in the third week = x
The total quantity of gas purchased in 3 weeks by Ivy's father = 61.75 gallons
Then
22.5 + 19.71 + x = 61.75
42.21 + x = 61.75
x = 61.75 - 42.21
= 19.54 gallons
So 19.54 gallons of gas was bought by Ivy's father in the third week
2÷5=0.4
1÷4=0.25
0.4÷0.25=0.016
so she walks at a rate of 0.016 miles per hour
Answer:
205.3m





*Round to nearest tenth and 205.3333333 becomes 205.3
Hope this helps! If you have any more questions or need further explanation please comment down below. Good luck!