1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nesterboy [21]
2 years ago
6

At Peyton's store, she sells blue shoes for $39.00 a pair and red shoes for $34.30 a pair. Peyton has already sold four pairs of

blue shoes to customers. If Peyton only sells red shoes for the rest of the day, how many pairs of red shoes need to be sold to meet the sales goal of $1,200? A. 40 B. 30 C. 39 D. 31
Mathematics
1 answer:
Bad White [126]2 years ago
7 0
B. 30

$39(4) + $34.30 = $1200

$156 + 34.30 = $190.30

$1200 - $190.30 = $1009.70

$1009.70 / $34.30 = 29.437

she will need to sell 30 red shoes to meet the sales goal.
You might be interested in
Please answer as soon as possible!!! Thank you
True [87]

Answer:

5,0 is the answer of ur question

6 0
3 years ago
Math<br><br><br><br> pls help!!<br><br><br><br><br><br> answers?
statuscvo [17]

Answer: Choice B) Infinitely many solutions

  • one solution: x = 8, y = -7/2, z = 0
  • another solution: x = -12, y = 13/2, z = 10

=======================================================

Explanation:

Here's the starting original augmented matrix.

\left[\begin{array}{ccc|c}  1 & 0 & 2 & 8\\5 & 1 & 9 & 73/2\\-4 & 0 & -8 & -32\\\end{array}\right]

We'll multiply everything in row 3 (abbreviated R3) by the value -1/4 or -0.25, which will make that -4 in the first column turn into a 1.

We use this notation to indicate what's going on: (-1/4)*R3 \to R3

That notation says "multiply everything in R3 by -1/4, then replace the old R3 with the new corresponding values".

So we have this next step:

\left[\begin{array}{ccc|c}  1 & 0 & 2 & 8\\5 & 1 & 9 & 73/2\\1 & 0 & 2 & 8\\\end{array}\right]\begin{array}{l}  \ \\\ \\(-1/4)*R3 \to R3\\\end{array}

Notice that the new R3 is perfectly identical to R1.

So we can subtract rows R1 and R3, and replace R3 with the result of nothing but 0's

\left[\begin{array}{ccc|c}  1 & 0 & 2 & 8\\5 & 1 & 9 & 73/2\\0 & 0 & 0 & 0\\\end{array}\right]\begin{array}{l}  \ \\\ \\R3-R1 \to R3\\\end{array}

Whenever you get an entire row of 0's, it <u>always</u> means there are infinitely many solutions.

-------------------

Now let's handle the second row. That 5 needs to turn into a 0. We can multiply R1 by 5, and subtract that from R2.

So we need to compute 5*R1-R2 and have that replace R2.

\left[\begin{array}{ccc|c}  1 & 0 & 2 & 8\\0 & 1 & -1 & -7/2\\0 & 0 & 0 & 0\\\end{array}\right]\begin{array}{l}  \ \\5*R1-R2 \to R2\ \\\ \\\end{array}

Notice that in the third column of R2, we have 9-5*2 = 9-10 = -1. So we have -1 replace the 9. In the fourth column of R2, we have 73/2 - 5*8 = -7/2. So the -7/2 replaces the 73/2.

--------------------

At this point, the augmented matrix is in RREF form. RREF stands for Reduced Row Echelon Form. It seems a bit odd that the "F" of "RREF" stands for "form" even though we say "form" right after "RREF", but I digress.

Because the matrix is in RREF form, this means R1 and R2 lead to these equations:

R1 : 1x+0y+2z = 8\\ R2: 0z+1y-1z = -7/2

which simplify to

R1: x+2z = 8\\R2: y-z = -7/2

Let's get the z terms to each side like so:

x+2z = 8\\x = -2z+8\\\text{ and }\\y-z = -7/2\\y = z-7/2\\

Therefore, all of the solutions are of the form (x,y,z) = (-2z+8, z-7/2, z) where z is any real number.

If z is allowed to be any real number, then we can simply pick any number we want to replace it. We consider z to be the "free variable", in that it's free to be whatever it wants. The values of x and y will depend on what we pick for z.

So the concept of "infinitely many solutions" doesn't exactly mean we can pick just <em>any</em> triple for x,y,z (admittedly it would be nice to randomly pick any 3 numbers off the top of my head and be done right away). Instead, we can pick anything we want for z, and whatever we picked, will directly determine x and y. The x and y are locked into place so to speak.

Let's say we picked z = 0.

That would lead to...

x = -2z+8\\x = -2(0)+8\\x = 8\\\text{ and }\\y = z-7/2\\y = 0-7/2\\y = -7/2\\

So z = 0 would lead to x = 8 and y = -7/2

Rearranging the items in alphabetical order gets us:

x = 8, y = -7/2, z = 0

We have one solution of (x,y,z) = (8, -7/2, 0)

Now let's say we picked z = 10

x = -2z+8\\x = -2(10)+8\\x = -12\\\text{ and }\\y = z-7/2\\y = 10-7/2\\y = 13/2\\

So we have x = -12, y = -13/2, z = 10

Another solution is (x,y,z) = (-12, 13/2, 10)

There's nothing special about z = 0 or z = 10. You can pick any two real numbers you want for z. Just be sure to recalculate the x and y values of course.

To verify each solution, you'll need to plug them back into the original equations formed by the original augmented matrix. After simplifying, you should get the same thing on both sides.

8 0
3 years ago
An equation of the horizontal line that passes through the point (-2,5)
Greeley [361]
Y=5 it's a horizontal lines so b in y=mx+b would have to be 5 and since it's horizonal, it doesn't have a slope so it's just y=5
8 0
3 years ago
Someone help and please make sure it’s right
VMariaS [17]

Answer:

x=10

Step-by-step explanation:

18x=180

x=10

if my answer helps please mark as brainliest.

5 0
3 years ago
Please help this quiz is worth a lot of point
sergiy2304 [10]

Answer:

YZ = 1

XY = 1.5

XYZ 1.33

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • 4y + y − 5y + 3y + y = 4<br> What does y equal?
    7·2 answers
  • B) If the dealer purchases the car for $ 21,696 and Olive , a salesperson sells it for $22,800,
    5·1 answer
  • Solve this quadratic equation using the quadratic formula.<br><br> x 2 + 8x - 5 = 0
    6·2 answers
  • Let U represent the set of all people that frequently visit a certain restaurant, surveyed about which food they like best. Let
    6·1 answer
  • Nicholas sent a chain letter to his friends, asking them to forward the letter to more friends. Every 12
    5·1 answer
  • There is no chart to go with this so please don't delete my question
    7·1 answer
  • 12. A garage is x metres wide. It is 5 metres longer than it is wide. The area of the garage
    15·1 answer
  • 2(h - 8) - h = h - 16
    10·1 answer
  • "tis greater than zero and less than or equal to 5" Complete the following steps to receive full credit for this question: . The
    11·1 answer
  • I’m desperate. Helppp
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!