Answer:
The value of x is 11.
Step-by-step explanation:
Consider the provided information.
It is given that 
We know that:
Now if we divide the number 81 with 32 it will gives us remainder 17.
This can be written as:
Now use the property: 
17²=289, if we divide 289 with 32 it will gives us remainder 1, thus.
Multiply both the sides by 3³.
Hence, the value of x is 11.
Answer:
V = (2·a)·(2·b)·(2·c) = 8·(a·b·c)
8 * 56 = 448 cubic inches
The answer must be 1.2857142857
The equation of the line is y=2x-3.
It is required to find the equation of the line.
<h3>What is straight line?</h3>
A straight line is just a line with no curves .The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.
Given:
The slope-intercept form of a line is
y = mx +c
where c is the intercept and m is the slope.
According to given question we have,
slope =2
y - intercept=-3
The equation of the line
y=2x-3
Therefore, the equation of the line is y=2x-3.
Learn more about straight line here:
brainly.com/question/27560536
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Answer:
In 10 seconds, the garden hose will emit 15 quarts of water.
Step-by-step explanation:
The amount of water emitted by the garden hose over time can be expressed as a ratio: 9/6, or 9 quarts of water for every 6 seconds of time. We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time. Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds: 3/2 = x/10. We look at the denominators and see that 2 x 5 = 10. In order to make the ratios equivalent, we would also multiply the numerator by 5: 3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.
