Answer:
She uses 200 milliliters of solution B
Step-by-step explanation:
Notice that there are two unknowns in this problem: 1) the amount of solution A that is being used, and 2) the amount of solution B being used. We can name such unknowns with letters to facilitate our work:
Amount of solution A to be used = A
Amount of solution B to be used = B
So, since we need to find two unknowns, we need to create a system of two equations to solve them.
Our first equation can be obtained from the sentence: "She uses twice as much Solution A as Solution B," which written in mathematical form is:
A = 2 B
The second equation we can build from the information of the amount of alcohol in each solution that combined will add up to 104 milliliters of alcohol in the mixture. Knowing the percent of alcohol in each solution, we can write an equation for the amount of alcohol:
0.19 A + 0.14 B = 104
Now we can use our first equation to substitute A in terms of B in the second equation:
0.19 (2 B) + 0.14 B = 104
0.38 B + 0.14 B = 104
0.52 B = 104
B = 104 / 0.52
B = 200 milliliters
Answer:
Given: ABCD is a rectangle.
Prove: The diagonals AC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ are congruent.
Match each numbered statement to the correct reason to complete the proof.
PS : i will mark brainliest if they answer the question fully..
Step-by-step explanation:
Given: ABCD is a rectangle.
Prove: The diagonals AC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ are congruent.
Match each numbered statement to the correct reason to complete the proof.
PS : i will mark brainliest if they answer the question fully..
Answer:
A
Step-by-step explanation:
v + w //substitute values
-3i + 2 - 4i //combine like terms
-7i +2
Answer:
Step-by-step explanation:
27 is the "center" of a range of measurements of the height of the guard rail. The height could be as much as 30 inches or as little as 24 inches. The absolute value operator encloses "x - 27," where 27 is the "center." The acceptable excess or acceptable deficiency is 3 inches.
So now we can eliminate possible answers B and C, in both cases because 27 is inappropriately greater than 3.
Narrowing down our choices, we have h + 27 and h - 27 inside the absolute value operator. 27 is a positive quantity (height of the guard rail), so the inequality showing +27 as the "center" is correct; that is
D: |h - 27| ≤ 3 (measurements in inches).
Answer:
89954
Step-by-step explanation:
Sorry. I wish i could show my work, but I can upload my picture work. I will post that here when my computer is working again.
