Answer:
Hello! Your answer should be $2448.
Step-by-step explanation:
First, we should add 37 to 167 to find out how much money Bill makes in one month. Once we find that to be 204, we must multiply that by however many months he will be saving up for (24 months = 2 years). This will give us the expression 204 x 28, which equals 2448.
So, Bill will save $2448 in 2 years. Hope this helps!
Answer:
For less than 7 uniforms.
Step-by-step explanation:
The first company she called charges $70 per uniform.
So, the cost of x uniforms will be $70x.
The second company she called charges $280 plus $30 per uniform.
So, the cost of x uniform will be $(280 + 30x).
Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as
70x < 280 + 30x
⇒ 70x - 30x < 280
⇒ 40x < 280
⇒ x < 7
Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)
Answer:
3rd Option
Step-by-step explanation:
When you find the ratio of the 2 triangles, it is 14/5, so the 2nd option and 4th option are out of the park (The triangles are indeed similar). You are left with options 1 and 3. Option 3 is the best answer as you have to match the vertices of each triangle to each other.
There are many ways to check if the point (1,3) is a solution to the linear equation
.
Let us check it by expressing y in terms of x.
The given expression is 5x-9y=32. If we add -5x to both sides we will get:

Multiplying both sides by -1 we will get:

In order to isolate y, we will divide both sides by 9 to get:

Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.


Thus, we see that when x=1, y=-3 and that
and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.
For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.
Answer:
-10
Step-by-step explanation:
combine like terms -5x+9=59 subtract 9 from both side and get -5x=50 so x=-10