Answer:
x=-13/2
Step-by-step explanation:
13 3/4=55/4
7 1/4=29/4
---------------------
55/4+x=29/4
x=29/4-55/4
x=-26/4
simplify
x=-13/2
So, first lets define our variables:
let x = the number of dimes
let y = the number of nickels
so our first equation would be x+y = 16
Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:
.10x+.05y = 1.35
now change the first equation so y = -x+16
now substitute:
.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35
combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5
So, you have 11 dimes and 5 nickels
Answer: 45?
Step-by-step explanation: Sorry If I'm wrong, I haven't learned this yet but I tried my best.
Hi!
To solve this, we must make an equation in y = mx + b form, where m is the slope and b is the y-intercept.
Since we are looking at a graph with points, it saves us a TON of work, and all we have to do is simply look at the graph. We only need to find m and b, that's it!
M is the slope, and the slope can be represented by the change between points on a line, also known as <em>rise/run. </em>
If we start at point (-4, -1), and go to point (-2, 0), we can see that it goes up 1 and right 2, which would be represented as 1/2.
B is the y-intercept, and that is simply the point that is on the y-axis, which is the point (0, 1), so our number would be 1.
Therefore, plugging these numbers into the equation, our equation is y = <em>1/2</em>x + <em>1</em>
<em></em>
Hope this helps! :D
Answer: 74.9 millimeters
Step-by-step explanation:
From the question, a photo of a beetle in a science book was.increased to 535% as large as its actual size and the beetle.has a actual size of 14 millimeters,
The size of the beetle on the photo will be 535% of 14 millimeters. This will be:
= 535% of 14
= 535/100 × 14
= 5.35 × 14
= 74.9 millimeters
