A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x + b form a sys
2 answers:
Answer:
<em>The value of will be -8.</em>
Step-by-step explanation:
The two given equations are.....
From equation (1), we will get......
From equation (2), we will get.....
<em>For getting the solution of the system as "infinitely many solutions" , both equations and
needs to be same</em>.
That means.....
So, the value of will be -8.
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Both triangles are right triangles. x is the hypotenuse of the upper one. ThePythagorean formula will give the value of x. One side is known, The other side we will find using the fact that the lower right triangle is isosceles. The hypotenuse of an isosceles right triangle has a length of 
times the length of one of the legs. In this case 14. So the hypotenuse of the lower triangle is also the short side of the upper triangle. Using Pythagoras
Answer:
2.5
Step-by-step explanation:
t = 0.25
Substitute d with 100
t = 0.25 x ()
A number to the half power is equal to the square root of a number.
Square root of 100 is 10:
t = 0.25*10
t = 2.5
Hope this helps :)
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Answer:
The speed of the boat is 5 miles per hours
The speed of the current is 2 miles per hours .
Step-by-step explanation:
Given as :
The distance cover by boat downstream = D = 10.5 miles
The time taken by boat to cover D distance = T = 1.5 hours
The distance cover by boat Upstream = d = 10.5 miles
The time taken by boat to cover d distance = t = 3.5 hours
Let The speed of boat = x mph
Let The speed of current = mph
Now, According to question
∵ Speed =
<u>For Downstream</u>
x + y =
Or, x + y =
Or, x + y = 7 .......A
<u>For Upstream</u>
x - y =
Or, x - y =
Or, x - y = 3 .......B
Now, Solving eq A and eq B
So, (x + y) + (x - y) = 7 + 3
Or, (x + x) + (y - y) = 10
Or, 2 x + 0 = 10
∴ x =
i.e x = 5 mph
So, The speed of the boat = x = 5 miles per hours
Put the value of x into eq A
∵ x + y = 7
Or, 5 + y = 7
∴ y = 7 - 5
i.e y = 2 mph
So, The speed of the current = y = 2 miles per hours
Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer
The interquartile range of the players' weights = 48 pounds.
The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.
It should be noted that the following is true for a boxplot.
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
So, it is evident that for this question,
First quartile = 174 pounds
Third quartile = 222 pounds
Inter Quartile Range = (Third quartile) - (First quartile)
= 222 - 174
= 48 pounds.
To know more about "interquartile"
Refer this link:
#SPJ4
