Answer:
(1.35, 1.6)
Step-by-step explanation:
Answer:
-2,-1,1,2
Step-by-step explanation:
The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.
115.2 pounds of type A coffee were used.
<h3>What is the solution of the equation?</h3>
A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of pounds of type A coffee be x and the number of pounds of Type B coffee be y.
According to the question, the equations are,
5.50x + 4.40y = 762.30
x = 4y
So, the solution of the equation is obtained as follows:
5.50(4y) + 4.40y = 762.30
26.40y = 762.30
y = 762.30/26.40
y = 28.8 pounds
x = 4*28.8 = 115.2 pounds
Learn more about equations here:
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Answer:
3.25
Step-by-step explanation:
Cost will increase by 1.25$
So it will be 4.50$
Which means that in order to know how much the current price of gasoline is, we need to subtract:
4.50-1.25=3.25$
So the current cost of gasoline is 3.25$
Hey there!
This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a <u>transversal</u>. This simple diagram can help us understand the nature of angles in our world.
The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!
We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called <u>supplementary angles</u>. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.
There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.
So, x=31 and y=29.
I hope that this helps! Have a wonderful day! :D
