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Flura [38]
3 years ago
12

1. The x-intercept of the equation 5x - 2y = 10 is

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Answer:

x =2

Step-by-step explanation:

The x- intercept is when y = 0

Hence, 5x - 2y = 10

5x - 2(0) = 10

5x = 10

Therefore, x = 2

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A wood stove burns 4 same sized logs in 2 hours how many logs does the stove burn in 8 hours
insens350 [35]
By using the information you have, you can use make a proportion to solve this. You burn 4 logs in 2 hours or 4/2. You are comparing this to your unknown number, x, over 8 hours. So it looks like this 4/2 = x/8. You read it as four logs in two hours is x logs in eight hours. To solve you cross multiply. You do 2 times x and 4 times eight. That would be 2x= 32. Your goal is getting x alone, so divide each side by 2. Your answer is x= 16 logs in eight hours. You can solve this different and maybe easier ways but this is the best way if you want to get used to going this in algebra. Hope that helps! :)
8 0
2 years ago
Read 2 more answers
Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at
spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)

What is u + v in component form?

u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)

⟨-5, -1⟩ is the answer.

3 0
2 years ago
Which statements best describe the dot plot or box plot? Check all that apply
Sveta_85 [38]

Answer:

<h2>The box plot is the only display that can be used to show the variability of the data.</h2><h2>The median appears clearly on the box plot at the line within the box: 10.</h2>

Step-by-step explanation:

When we want to represent variability, we use a box plot instead of a dot plot, because the box plot allow us to observe the range of the data set, that is, the minium and the maximum value.

Remember that variability is about the spread of the dataset, and the range is a measure that can give a pretty good idea of it, shown by a box plot.

Therefore, the last hoice is correct.

On the other hand, according to the dot plot, the median is 10, because there are 13 total values, where the central value is 10.

Therefore, the second choice is correct.

3 0
3 years ago
What scale factor is shown by this graph?
notsponge [240]

the scale factor is 2.

because

if you look at the length <em>AL</em><em> </em>in the smaller shape, it is 2 squares.

now if you look at the length <em>AL</em><em> </em>in the enlarged shape, it is 4 squares.

to find the scale factor, do 4 ÷ 2 which is 2.

therefore the scale factor is 2

6 0
3 years ago
Read 2 more answers
A water tank in the shape of a rectangular prism has a length of 525 feet, width of 423 feet, and height of 449 feet.
TEA [102]

Answer:

84 cubic feet

Step-by-step explanation:

First, multiply the numbers to get the volume.

5 2/5 * 4 2/3= 25 1/5

25 1/5 * 4 4/9= 112

Then, we can find 3/4 of that.

112*3/4=84.

6 0
3 years ago
Read 2 more answers
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