Write a system of equations and solve.
x + y = 10
5x + 10y = 90
Multiply and combine equations
-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2
There are 2 nickels and 8 dimes in the jar. Hope this helps! :)
Answer:
For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.
The new coordinates will be
A(-4,10)
B(4,10)
C(-4,4)
D(4,4)
Step-by-step explanation:
The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).
The next three terms are: -3, 6, and 15
To get each new term, we simply add 9 to the last term. So we add 9 to -12 to get -3. Then we add 9 to -3 to get 6. Finally we add 9 to 6 to get 15
In other words,
first term = -12
second term = first term+9 = -12+9 = -3
third term = second term + 9 = -3+9 = 6
fourth term = third term + 9 = 6+9 = 15
This process repeats forever though we only need three terms in this case.
So that's why the answer is the three values -3, 6 and 15
A ratio shows us the number of times a number contains another number. The ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
At the school play Abby handed out 250 programs and Kim handed out 300. Therefore, the ratio of the number of programs Abby handed out to the number programs Kim handed out is,
Ratio = (Number of programs Abby handed out)/(Number of programs Kim handed out)
Ratio = 250 / 300 = 5/6
Hence, the ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
Learn more about Ratios:
brainly.com/question/1504221
#SPJ1
Answer:
Firstly you need to put the equation in form of. y =ax+b
Let us do it
We have
2x-2y=18
-2y=18-2x
-y=(18) /2 - (2x)/2
-y =9-x
Mutiply by - to remove it beside y
Y=-9+x
Which is y=x-9
Slope =a=1
Yintercept=b=-9
