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Gnesinka [82]
2 years ago
7

Quiana has 7 times more text messages from Yolanda than from Pierre. Quiana has 56 text messages from Yolanda. Which equation ca

n be used to find how many text messages Quiana has from Pierre, p?
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
6 0

Answer:

Quiana has 8 text messages from Pierre.

Step-by-step explanation:

This question can be solved using a rule of three.

Quiana has 7 times more text messages from Yolanda than from Pierre.

This means that for each message that she receives from Pierre, she receives 7 from Yolanda.

She received 56 from Yolanda.

So

7 messages from Yolanda - 1 messages from Pierre

56 messages from Yolanda - x messages from Pierre

7x = 56

x = \frac{56}{7}

x = 8

Quiana has 8 text messages from Pierre.

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3(2x - 1) = 1/2 (4x - 2) + 2<br> What would it be?
Novay_Z [31]

Answer:

X =  1

Step-by-step explanation:

Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2

6 0
2 years ago
Write the equation of the line that passes through (−3,1) and (2,−1) in slope-intercept form
Alex787 [66]

Answer:

y=-\frac{2}{5}x-\frac{1}{5}

Step-by-step explanation:

The equation of a line is y = mx + b

Where:

  • m is the slope
  • b is the y-intercept

First, let's find what m is, the slope of the line.

Let's call the first point you gave, (-3,1), point #1, so the x and y numbers given will be called x1 and y1.

Also, let's call the second point you gave, (2,-1), point #2, so the x and y numbers here will be called x2 and y2.

Now, just plug the numbers into the formula for m above, like this:

m = -\frac{2}{5}

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-\frac{2}{5}x + b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

  • (-3,1). When x of the line is -3, y of the line must be 1.
  • (2,-1). When x of the line is 2, y of the line must be -1.

Now, look at our line's equation so far: y=-\frac{2}{5}x + b. b is what we want, the --\frac{2}{5} is already set and x and y are just two 'free variables' sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,1) and (2,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!

You can use either (x,y) point you want. The answer will be the same:

  • (-3,1). y = mx + b or 1=-\frac{2}{5} * -3 + b, or solving for b: b = 1-(-\frac{2}{5})(-3).b = -\frac{1}{5}.
  • (2,-1). y = mx + b or -1=-\frac{2}{5} * 2 + b, or solving for b: b = 1-(-\frac{2}{5})(2). b = -\frac{1}{5}.

See! In both cases, we got the same value for b. And this completes our problem.

The equation of the line that passes through the points  (-3,1) and (2,-1) is y=-\frac{2}{5}x-\frac{1}{5}

8 0
3 years ago
A line, y = mx +b, passes through the point (2,3) and is parallel to y = 2x + 3. What is the value of
diamong [38]

Answer:

The value of b is 3

Step-by-step explanation:

mx is the slope and b is the y intercept. I hope this helps!

4 0
3 years ago
1/2x+3=-1<br><br><br><br><br> HELP ASAP!!
fenix001 [56]

Step-by-step explanation:

\frac{1}{2} x + 3 =  - 1 \\  \frac{x}{3}  + 3 =  - 1 \\  \frac{x}{3}  =  - 1 - 3 \\  \frac{x}{3}  =  - 4 \\ x =  - 4 \times 3 \\ x =  - 12

4 0
2 years ago
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What is the solution to the system of equations?
Yuri [45]

Answer:

No solution

Step-by-step explanation:

Note how "2x" shows up in both equations.  This suggests doing a substitution to solve the system.

Focus first on the first equation.  Solving 2x - y = 7 for 2x, we get:

2x = y + 7.

Next, we substitute y + 7 for 2x in the second equation:

y = (y + 7) + 3.

Simplifying this produces:

0 = 10

This is not true and can never be true.  Thus, this system has no solution.

6 0
3 years ago
Read 2 more answers
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