Answer:
Step-by-step explanation:
The ratios of the numbers shown in the table are all ...
y/x = 16/4 = 20/5 = 4
Then the missing y-value is ...
y = 4x
y = 4(2) = 8
__
And the missing x-value is ...
36 = 4x
36/4 = x = 9
_____
<em>Additional comment</em>
The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.
Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.
382 5/10-191 87/100
|
3828-191 87/100
3828-19187
——- ————
10. 100
19023
———-
100
Answer:
a. (3-7x) + (3-7x) + (3-7x) + (3-7x)
b. 4(3-7x)
c. 12 - 28x
Step-by-step explanation:
To find the perimeter of a square, you need to add up all the sides
a. Since a square has all equal sides you will need to write the expression four times: (3-7x) + (3-7x) + (3-7x) + (3-7x) = perimeter
b. Expressing this as a product, we can condense the formula to 4 multiplied by the expression since it is written four times: 4(3-7x) = perimeter
c. Using the distributive property, we can write the product 4(3-7x) from b. as: (4)(3) + (4)(-7x) = 12 + (-28x) = 12 - 28x = perimeter
Answer:
woah ill look at it and come back when i find the answer
Step-by-step explanation:
Answer:
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Liters of 60% acid solution needed = 10
x = Number of liters of the 50% solution
y = Number of liters of the 90% solution
2. Which equation represents the total liters of acid that are needed?
There are two equations needed:
The first one related to the total liters needed, 10 in this case:
x + y = 10
The second one related to the acid concentration of the 10 liters:
0.5x + 0.9y = 10 * 0.6
0.5x + 0.9y = 6
<u>The equations system is:</u>
<u>x + y = 10</u>
<u>0.5x + 0.9y = 6</u>
Solving for x and y in the 2nd equation, we have:
0.5 (10 - y) + 0.9y = 6
5 - 0.5y + 0.9y = 6
0.4y = 6 - 5
0.4y = 1
y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)
The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.
