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Nataly [62]
3 years ago
13

Help me please giving brainiest

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0

Answer:

1) The most common place (mode) for people to jog is the path.

2) (The picture)

Step-by-step explanation:

1) The mode means what is most common, and since the path has 22 people, it is the most common place.

2) The data is distributed into 5 different columns based on how many people use the certain column. The second column is the mode and most common spot to jog.

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A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec
Ray Of Light [21]

Answer: There are 152 apples.

The explanation is shown below:

- You need to write the following three equations, where a is the the number of apples, p is the number of pears and o is the number of oranges:

1) a+p=184

2) a+o=248

3) o=3p

-  You must substitute the equation 3) into the equation 2):

 a+3p=248

- Now, you need to solve for p in the equation 1) and then you must substitute it into a+3p=248:

p=184-a

a+3(184-a)=248

- Solve for a, as following:

a+552-3a=248\\-2a=-304\\a=\frac{-304}{-2}\\a=152

- Therefore, there are 152 apples.

7 0
3 years ago
Using the substitution method, answer the question.<br><br> y=4x-3<br> y=-x+7
Nutka1998 [239]
Basically they're both equal
4x-3=x+7
-x. -x
3x-3=7
+3 +3
3x=10

X=10/3
7 0
3 years ago
Solve the quadratic equation by completing the square.<br> QUESTION ATTCHED BELOW!!!!!!!!!!
Mariulka [41]

Answer:

x ≈ - 9.41, x ≈ - 6.59

Step-by-step explanation:

Given

x² + 16x + 62 = 0 ( subtract 62 from both sides )

x² + 16x = - 62

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(8)x + 64 = - 62 + 64

(x + 8)² = 2 ( take the square root of both sides )

x + 8 = ± \sqrt{2} ( subtract 8 from both sides )

x = - 8 ± \sqrt{2}

Hence

x = - 8 - \sqrt{2} ≈ - 9.41

x = - 8 + \sqrt{2} ≈ - 6.59

4 0
3 years ago
Read 2 more answers
I don't- I don't know i need help
Vesnalui [34]

Answers:

Monthly gross pay =  $7650.68

Annual gross pay = $91808.16

Explanation:

To get the monthly gross pay, you double the semi-monthly gross pay. In other words, you multiply by 2.

Once you know how much you earn per month, you multiply that by 12 to get your annual pay.

The term "gross" in financial terms means the amount of money before taxes and other fees apply. The net pay is after taxes and other fees are deducted from your paycheck. This means the net pay is going to be smaller than the gross pay.

4 0
3 years ago
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