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storchak [24]
3 years ago
10

What is the distance from points A and B​

Mathematics
1 answer:
Ghella [55]3 years ago
3 0
Can you attach a photo please to the question and repost
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Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the
german

Answer:

10

Step-by-step explanation:

We will use a system of equations to solve this.  We do not know how much of the 25% bleach solution is used; we will use x to represent this.  We know that 5 cups of the 10% solution was used.  We do not know how much of the resulting solution we have; we will use y to represent this.  This gives us the equation

x+5 = y

Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation

0.25x+0.1(5) = 0.2y

This gives us the system

\left \{ {{x+5=y} \atop {0.25x+0.1(5)=0.2y}} \right.

To use elimination, we will make the coefficients of x the same by multiplying the top equation by 0.25:

\left \{ {{0.25(x+5=y)} \atop {0.25x+0.5=0.2y}} \right. \\\\\left \{ {{0.25x+1.25=0.25y} \atop {0.25x+0.5=0.2y}} \right.

We will now subtract the second equation from the first:

\left \{ {{0.25x+1.25=0.25y} \atop {-(0.25x+0.5=0.2y)}} \right. \\\\0.75 = 0.05y

Divide both sides by 0.05:

0.75/0.05 = 0.05y/0.05

15 = y

There were 15 cups of the resulting 20% solution.  Substituting this into the first equation, we have

x+5=15

Subtract 5 from each side:

x+5-5=15-5

x = 10

7 0
3 years ago
Read 2 more answers
While on a beach vacation, Tasha makes a scale drawing of points of interest between two
alexdok [17]

Answer:

The distance between the two piers is <u>3 miles.</u>

Step-by-step explanation:

If in Tasha's drawing 2cm represents 0.5 miles between the two piers, and the distance between the two piers in Tasha's drawing is 12cm.

The answer is found by <u>the rule of three: </u>

2 cm : 0.5 miles

12 cm : X

X = (12 * 0.5) / 2

X = 3 miles.

The distance between the two piers is actually 3 miles.

5 0
3 years ago
846 x (84) what is it?
photoshop1234 [79]

Answer:

The answer is 71064

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Solve for x 3x -y =12
Maslowich

Answer:

\displaystyle x= \frac{y + 12}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 3x - y = 12<em />

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition Property of Equality] Add <em>y</em> on both sides:                                     \displaystyle 3x = 12 + y
  2. [Division Property of Equality] Divide 3 on both sides:                                  \displaystyle x = \frac{12 + y}{3}
6 0
3 years ago
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Two more than twice a number is 14??
Kay [80]

Answer:

7 x 2=14

Step-by-step explanation:

3 0
4 years ago
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