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kati45 [8]
3 years ago
13

Using coupons, you spend $135 grocery shopping. this is 75% of the total retail price of the groceries. how much would you have

spent if you had not used the coupons?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0
Let x be the total price. And you paid 75% of it which is $135.

x * 75/100 = 135
x = 180
You would have paid $180 if you had not used coupons.
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Can someone please help me with 6?
Firdavs [7]

Look at the link below I filled in the answers for you. :)

6 0
3 years ago
Item 32 On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What per
stira [4]
97.2% on the final.
Find the total amount of points needed to get a 93%. 150+150+150+250 = 700 total points. 700*.93 = 651 total points needed to get 93%. find the points received from the other quizzes and subtract the sum from 651 to find how many points need to be scored on the final.
150*.88=132 (test 1)
150*.94=141 (test 2)
150*.90=135 (test 3)
132+141+135= 408

651-408 = 243 points to score on the final exam.
243/250 =.972 or 97.2%
3 0
3 years ago
1. Identify the focus and the directrix for 36(y+9) = (x - 5)^2 2. Identify the focus and the directrix for 20(x-8) = (y + 3)^2
Simora [160]

Problem 1

Focus: (5, 0)

Directrix:  y = -18

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

Explanation:

The given equation can be written as 4*9(y-(-9)) = (x-5)^2

Then compare this to the form 4p(y-k) = (x-h)^2

We see that p = 9. This is the focal distance. It is the distance from the vertex to the focus along the axis of symmetry. The vertex here is (h,k) = (5,-9)

We'll start at the vertex (5,-9) and move upward 9 units to get to (5,0) which is where the focus is situated. Why did we move up? Because the original equation can be written into the form y = a(x-h)^2 + k, and it turns out that a = 1/36 in this case, which is a positive value. When 'a' is positive, the focus is above the vertex (to allow the parabola to open upward)

The directrix is the horizontal line perpendicular to the axis of symmetry. We will start at (5,-9) and move 9 units down (opposite direction as before) to arrive at y = -18 as the directrix. Note how the point (5,-18) is on this horizontal line.

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

Problem 2

Focus:  (13,-3)

Directrix:  x = 3

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

Explanation:

We'll use a similar idea as in problem 1. However, this time the parabola opens to the right (rather than up) because we are squaring the y term this time.

20(x-8) = (y+3)^2 is the same as 4*5(x-8) = (y-(-3))^2

It is in the form 4p(x-h) = (y-k)^2

vertex = (h,k) = (8,-3)

focal length = p = 5

Start at the vertex and move 5 units to the right to arrive at (13,-3). This is the location of the focus.

Go back to the focus and move 5 units to the left to arrive at (3,-3). Then draw a vertical line through this point to generate the directrix line x = 3

5 0
3 years ago
Solve for 7 and 8 please
Masteriza [31]
To divide exponents they have to have the same base and then you just subtract the bottom exponent from the top exponent.

7) k × 3^9
----------- =
3^5

k × 3^9-5 =
k × 3^4 =
k × 81 = 81k

8) x^4 × y^10 × 2^11
------------------------ =
y^8 × 2^7

x^4 × y^10-8 × 2^11-7 =
x^4 × y^2 × 2^4 =
x^4 × y^2 × 16=
16x^4y^2
8 0
3 years ago
A cell phone factory has a cost of production C(x) = 66x + 30,000 where x is the total number of attendees at the concert . The
dimulka [17.4K]

Answer:

8000-8500

Step-by-step explanation:

I can't manage to figure out the exact number without multiple choice answers. That is the closest I could get to finding out the answer. Good Luck!

8 0
3 years ago
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