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OverLord2011 [107]
3 years ago
10

Find the slope of a line that passes through the points (5,4) and (-2,-1)

Mathematics
1 answer:
Anna11 [10]3 years ago
7 0
The slope is 5/7
4-(-1)=5 which is the Y value
5-(-2)=7 which is the X value
Slope =Y/X
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The ratio of cars to trucks is 9:4. The ratio of trucks to SUV's is 12:21. There are 54 cars.
Elenna [48]

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

7 0
3 years ago
Find the minimum and maximum possible areas of a rectangle measuring 6 km by 11 km.
ExtremeBDS [4]
Assuming your numbers are rounded to the nearest km, the minimum area will be ...
  (5.5 km)·(10.5 km) = 57.75 km² . . . minimum

And the maximum area will be ...
  (6.5 km)·(11.5 km) = 74.75 km² . . . maximum

_____
When a number is rounded to 6 km as the nearest km, its value may actually be anywhere in the range 6 km ± 0.5 km. If you really want to get technical about it, the ranges of possible dimensions are [5.5, 6.5) km and [10.5, 11.5) km, and the range of possible areas is [57.75, 74.75) km².
3 0
3 years ago
When david emptied the collection canister of his vacuum cleaner, he found nickels and quarters among the other of the canister.
Ugo [173]

he has 9 quarters and 12 nickles.

5 0
3 years ago
One number is 16 more than a second number. The sum of the first number and twice the second number is 139. What is the answer ?
Nezavi [6.7K]
Answer first number  = 57  second number = 41
x= 16 + y
x + 2y = 139

16+ y + 2y =139
16 + 3y =139
16-16 +3y = 139-16
3y = 123
3/3y = 123/3
y= 41

x= 16+y
x = 16+41
x= 57
4 0
3 years ago
Jess bought 3 pairs of Jeans for $71.40. How much would he need to pay for 8 pairs of jeans?
Leya [2.2K]

Answer:190.40 dollars.


Step-by-step explanation:

Okay if we know that Jess bought 3 pairs for 71 dollars divide 71 by 3 then multiply that by 8.


7 0
3 years ago
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