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musickatia [10]
3 years ago
7

Bennett bought a $21 meal. The sales tax was 5%. Bennett tried to find the sales tax in a few different ways. Which of his metho

ds are correct? Of the correct methods, which makes the most sense to you? Explain.
Mathematics
2 answers:
xz_007 [3.2K]3 years ago
5 0

Answer:

I need a pic of his methods to answer

Step-by-step explanation:

Gemiola [76]3 years ago
4 0
You don’t have a picture or anything?
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Which is an equation in point-slope form for the given point and slope?
Kisachek [45]

The point-slope form: y-y_1=m(x-x_1)

Q2.

(1,\ -7)\to x_1=1,\ y_1=-7\\m=1\\\\y-(-7)=1(x-1)\\\\y+7=(x-1)

Q3.

(5,\ 9)\to x_1=5,\ y_1=9\\m=2\\\\y-9=2(x-5)

Q4.

y=mx+b\\\\(0,\ 1)\to b=1\\\\y=mx+1

The formula of a slope: m=\dfrac{x_2-x_1}{y_2-y_1}

((-2,\ 4)\to x_1=-2,\ y=4\\(2,\ -2)\to x_2=2,\ y_2=-2\\\\m=\dfrac{-2-4}{2-(-2)}=\dfrac{-6}{4}=-1.5

y=-1.5x+1

8 0
3 years ago
the length of a flag is 0.3 foot less than twice its width. if the perimeter is 14.4 feet longer than the width, find the dimens
forsale [732]
x-\ length\\
y-\ width\\\\
x+0.3=2y\ \ \ \ \ | subtract\ 0.3\\x=2y-0.3\\
perimeter=2x+2y\\ 2x+2y-14.4=y\\\\
2*(2y-0.3)+2y-14.4=y\\
4y-0.6+2y-14.4=y\\
6y-15=y\ \ \ | add\ 15\\
6y=15+y\ \ | subtract\ y\\
5y=15\ \ \ | divide\ by\ 5\\
y=3\\
x=2y-0.3=2*3-0.3=6-0.3=5.7\\\\
Dimensions:\ length=5.7\ feet\, width=3\ feet.
4 0
3 years ago
Use the diagram on the right. How many planes contain both the line and the point
Aloiza [94]

Part (a)

<h3>Answer: 0</h3>

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

Explanation:

Point P is part of 3 planes or faces of this triangular prism:

  • plane PEF (the front slanted plane)
  • plane PEH (the left triangular face)
  • plane PHG (the back rectangular wall)

Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.

Each of the three planes mentioned do not involve line FG

  • Plane PEF only deals with point F
  • Plane PEH doesn't have any of F or G involved
  • plane PHG only involves G

So there are no planes that contain line FG and point P.

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

Part (b)

<h3>Answer: 0</h3>

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

Explanation:

It's the same idea as part (a) earlier. The planes involving point G are

  • plane GQF  (triangular face on the right)
  • plane GFE (bottom rectangular floor)
  • plane GHP (back rectangular wall)

None of these planes have line EP going through them.

As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are

  • plane PEH (triangular face on the left)
  • plane PEF (front slanted rectangular face)

None of these planes have point G located in them.

8 0
3 years ago
Pittsburgh international airport had approximately 714,587 passengers in August 2009. write a number that is greater than 714,58
Pepsi [2]
A number than is greater than 714,587 is 238,646,454,476
8 0
3 years ago
1. Solve for :<br> 2(3x - 3) = -18
Murrr4er [49]

Answer:

-2

Step-by-step explanation:

1. Rewrite the equation:

2(3x - 3) = -18

2. Use the distributive property:

2(3x - 3) = -18 ---> 6x - 6 = -18

3. Add 6 to both sides:

6x - 6 = -18 ---> 6x = -12

4. Divide both sides by 6:

6x = -12 ---> x = -2

Now we know our answer is -2, let's make sure it's correct:

2(3x - 3) = -18

2(3(-2) - 3) = -18

2(-6 - 3) = -18

-12 - 6 = -18

-18 = -18

This tells us our answer is true!

Hope this helps :D

5 0
3 years ago
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