Answer:
d = 157.5 m
Step-by-step explanation:
from similar triangle:
350/400 = d/180
d = 350/400 * 180
d= 157.5 m
Answer:
x= -4
Step-by-step explanation:
3=8x-5(3x+5)
distribute
3=8x-15x-25
combime like factors
28= -7x
divide 28/ -7
x= -4
Answer:
Step-by-step explanation:
price of 1 pen= $ 2
price of 1 pencil= $1
total money spent= $12
Let the number of pen be a and number of pencil be b.
2 a + b = 12 ----------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 ------------------ Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation
5 - b = 3
b = 2
Number pencils Ava bought = 2
Yes, (3,-1) is a solution to the graphed system of inequalities.
<h3>What are system of inequalities?</h3>
When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.
A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.
As we can see in the graph that the two lines are interest in the second quadrant at point such as(x, -y).
So, the point will be a solution also because it lies in the shaded region.
Therefore, Yes, (3,-1) is a solution to the graphed system of inequalities.
Learn more about graphing inequalities here:
brainly.com/question/19598687
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This is a standard relationship/systems of equations question. Here is how you attack it. Firstly, set up equations to represent the relationships. Ed = 4*Kim That shows that Ed has four times as many pins as Kim. Next, we see that the two have 25 together. So: Ed + Kim = 25 Now we have our two equations. In order to solve, we need to get one of the equations down to one variable. We can achieve this via substitution. The first equation tells us that we can substitute 4*Kim for Ed (in the second equation). So, let's do just that: 4*Kim + Kim = 255*Kim = 25Kim = 5 Using the first equation again, we can solve for Ed: Ed = 4*KimEd = 4*(5)<span>Ed = 20</span>
