Ten x plus four divided by seven
Answer:
p = 10t - 100
Step-by-step explanation:
Perform the indicated multiplication: p = 10t - 100.
In light of the fact that point y is the point at which segment xz is divided, the value of the variable an is equal to 4.
<h3>How can I determine what the value of the variable an is?</h3>
Due to the fact that point y divides segment xz into two distinct halves, the following equation may be used to get segment xz's total length:
xz = xy + yz.
The following are the parameters for the test:
xy = 7a. yz = 5a. xz = 6a + 24.
As a result, we need to substitute into the equation and then solve for a.
xz = xy + yz
6a + 24 = 7a + 5a
12a = 6a + 24
6a = 24
a = 24/6
a = 4.
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Answer:
Number of trucks = 24
Number of SUVs = 24
Step-by-step explanation:
A)
The ratio of cars to trucks is 9:4
The total ratio of cars to trucks is
9+4 = 13
Let x = sum of cars and trucks.
There are 54 cars. Therefore,
x = 54 + t trucks
Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,
54 = 9/13 × x
9x / 13 = 54
9x = 13 × 54
9x = 702
x = 702 / 9 = 78
x = 54 + t trucks = number of trucks = 78 = 54 + t trucks
t trucks = 78 - 54 = 24
Number of trucks = 24
B)
The ratio of trucks to SUVs is 12:21
The total ratio of cars to trucks is
12 + 21 = 33
Let y = sum of trucks and SUVs
There are 24 trucks. Therefore,
x = 24 + s SUVs
Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,
24 = 12 / 33 × y
12y / 33 = 24
12y = 24 × 33
12y = 792
y = 792 / 12 = 66
y = 24 + s SUVs
66 = 24 + s SUVs
s SUVs = 66 - 24 = 42
Number of SUVs = 24
Answer:
nth term = 7n - 2
Step-by-step explanation:
a = first term = 5
d = common difference = second term - first term
= 12 - 5 =7
d = 7
a + (n-1)d
= 5 + (n -1)7
= 5 + 7n - 7 {add like terms}
= 7n - 2
