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Andre45 [30]
3 years ago
12

Three relationships are described below: I. The amount of fuel used on a trip increases as the size of the car increases and as

the distance traveled increases. II. As the number of people helping mow a lawn increases, the time it takes to mow the lawn decreases. III. The cost of having a house painted increases as the size of the house increases. What type of variation describes each relationship?
Mathematics
1 answer:
jekas [21]3 years ago
5 0

Variation are of 2 types: Direct variation that states 'if x increases, y increases'. And inverse variation which states ' if x increases, y decreases and y increases x increases'.

1. The amount of fuel used on a trip increases as the size of the car increases and as the distance traveled increases. = Direct variation

2. As the number of people helping mow a lawn increases, the time it takes to mow the lawn decreases = Inverse variation

3. The cost of having a house painted increases as the size of the house increases. = Direct variation

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Two-fifths of a number is decreased by three. Find the value of the expression if the number is twenty-five.
Sindrei [870]
Let's take the number as x.

two-fifths of a number = 2x / 5
decreased by 3 = (2x/5) - 3

(2x/5) - 3
(2*25/5) - 3
(2*5) - 3
10 - 3
7 
8 0
3 years ago
Read 2 more answers
Please help!! like ASAP
mylen [45]

Answer:

A

Step-by-step explanation:

7 0
2 years ago
Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25
pshichka [43]

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

<u>Step-by-step explanation:</u>

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

⇒ 9x - 5.25x = 30

⇒ 3.75x = 30

⇒ x = 8

Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

⇒ Number of pounds of almonds = 12 - x = 4 pounds.

5 0
2 years ago
In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of
vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X      Southwest , Y            X^2              Y^2                      XY

45.96               38.76               2112.3216     1502.3376          1781.4096

46.8                 45.41                2190.24         2062.0681        2125.188

47.93                15.7                 2297.2849      246.49            752.501

51.78                49.58              2681.1684      2458.1764        2567.2524

52.17                44.34              2721.7089      1966.0356        2313.2178

47.36                18                   2242.9696            324               852.48

Total 292       211.79               14245.6934      8559.1077      10392.0488

Sample size: n =6

Now

S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27

S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03

S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94

The coefficient of correlation is :

r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436

7 0
3 years ago
This is really confusing. Thanks for helping.
Mandarinka [93]
Count change of signs to tell positive roots
then replace x with -x and evaluate, then count change in sign for negative roots


initially
+, -, -, +, +, -
3 changes
3 or 1 positive roots


replacing x with -x
-,-,+,+,-,-
2 changes
2 or 0 negative roots



B is answer
5 0
3 years ago
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