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makvit [3.9K]
2 years ago
9

Identify the slope and the y-intercept of the following line! y=-5+17/8x

Mathematics
1 answer:
hichkok12 [17]2 years ago
5 0

The slope = 17/8, while as the y - intercept = -5. The graph shown below will help give you a better understanding of what I'm saying.

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Apples weight about 12 ounces each.Ronald bought 4 apples.how many pounds of apples did he buy?
Zarrin [17]

Answer:

3 lbs

Step-by-step explanation:

4 0
2 years ago
Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the
Neko [114]

Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees wasx+\frac{1}{4} x=\frac{5}{4} x, and for the next three years we have that

                             Start                                          End

Second year     \frac{5}{4}x --------------   \frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x

Third year    (\frac{5}{4} )^{2}x-------------(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x

Fourth year (\frac{5}{4})^{3}x--------------(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.

So  the formula to calculate the number of trees in the fourth year  is  

(\frac{5}{4} )^{4} x, we know that all of the trees thrived and there were 6250 at the end of 4 year period, then  

6250=(\frac{5}{4} )^{4}x⇒x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.

Therefore the number of trees at the begging of the 4-year period was 2560.  

7 0
3 years ago
A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh
dezoksy [38]

Answer:

<em>40</em>

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2\times 2)

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes \times Number of doors options  \times Number of exterior colors

2 \times 2 \times 10 = <em>40</em>

3 0
3 years ago
A factory processes 1,560 ounces of olive oil per hour. The oil is packaged into 24-ounce bottles. How many bottles dose the fac
lozanna [386]
Divide the total amount of olive oil by the amount packaged into an individual bottle.

1560 / 24 = 65 bottles per hour
5 0
2 years ago
Read 2 more answers
A gift basket has a ratio of 3 pears to every4 apples. How many pears are there in a gift basket with 36 apples?
alexandr402 [8]

Answer:

12 pears

Step-by-step explanation:

Since for every 3 pears 4 apples, you have to divide the 36 apples by 3 and recieve 12 pears. Hope this helped.

4 0
3 years ago
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