9514 1404 393
Answer:
see attached
(x, y) = (8, 4)
Step-by-step explanation:
The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.
x + y = 12 . . . . . total number of shots
x + 2y = 16 . . . . total number of points
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These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.
The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.
- the number of free throws Angel made was 8
- the number of 2-point shots Angel made was 4
For this all you need is to balance the equation out with the variables (a) on one side and the number on the other. Also remember that what you do to one side you do to another. So here we have 4=3a-14. You should add the 14 to both sides, on one side to cancel out the 14 and add the 14 on the other side to balance it out. Now you have 18=3a. Divide by 3 on both sides to isolate the variable a and you have your answer. A=6
Answer:
51 is the only one that makes sense
Step-by-step explanation:
74-23 = 51
The two investments are $7000 and $8000 during one year.
The amount $15,000 invested at 
% and 5% simple interest.
During one year, the two accounts earned $715.
<h3>What is simple interest?</h3>
Simple interest is a method for calculating the amount of interest charged on a sum over a fixed period of time at a given rate.
Let amount x be invested at %. Then, amount 15,000-x is invested at 5%.
Now, ×x+5×15000-x=715
⇒0.045x+0.05(15000-x)=715
⇒0.045x+750-0.05x=715
⇒750-0.005x=715
⇒0.005x=35
⇒x=$7000
Thus, x=$7000 and 15000-x=$8000
Hence, the two investments are $7000 and $8000.
To learn more about simple interest visit:
brainly.com/question/25663053
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Answer:
the measure of all the angles within a triangle is = 180 degrees.
the two given angle measures are 70 and 90.
90+70= 160 making the remaining angle = 20 degrees
the two triangles are similar to each other, so they have the same angle measurements. making the measure of angle 1 = 20 degrees
