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Gemiola [76]
3 years ago
9

A pair of sunglasses is on sale for $26. The original price of the sunglasses was $40. What percent of the original price is the

sale price?
Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0
So,

We are trying to find what PERCENT the sale price is of the sale price.  To do that, we will have to divide the sale price by the original price and simplify.

\frac{26}{40} = \frac{2*13}{2*2*2*5} = \frac{13}{2*2*5} = \frac{13}{20} = \frac{65}{100}

In percent form, it is 65%.

The sale price, $26, is 65% of the original price, $40.
GarryVolchara [31]3 years ago
7 0
If the glasses were origanum 40, and were on sale for 26,we minus them from eachother to find out how much money was saved. So 40-26= 14, if $14 was saved we put 14 over the original price and times it buy 100 14/40x100= 35% So 35% was saved. 100-35= 65. Therefore 65% of the original price was paid and 35% was saved.
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Rosa bought 1 pound of cashews and 2 pounds of peanuts for $10. At the same store, Sabrina bought 2 pounds of cashews and 1 poun
Valentin [98]

Answer:

The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.

Step-by-step explanation:

let x = cashews

let y = peanuts

x + 2y = 10 - rosa's purchase

2x + y = 11 - sabrina's purchase

subtract 2x to isolate 'y'

y = 11 - 2x

x + 2(11 - 2x) = 10

x + 22 - 4x = 10 (Use the distributive property.)

-3x = -12

x = 4.00

Plug this into the original equations to find "y"

2(4) + y = 11

8 + y = 11

y = 3

4 + 2y = 10

2y = 6

y = 3

the solutions are: x = 4. y = 3.

5 0
3 years ago
A nationwide survey of college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking. I
Whitepunk [10]

Answer:

a) P(X≥6) = 0.9614

b) P(7≤ X ≤9)  = 0.628

c) P(X≤5) = 0.0386

Step-by-step explanation:

This can be solved using the binomial distribution formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

Where p = probability of success

           q = probability of failure = 1-p

           n = number of trials

           x = number of successful trials

We have p = 70% = 0.7

               n = 12

a) Find the probability that the number who disapprove of smoking pot daily is no less than 6 i.e. P(X≥6). This can be calculated as:

P(X≥6) = 1 - P(X<6)

        = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

        = 1 - [¹²C₀ (0.7)⁰(0.3)¹² + ¹²C₁ (0.7)¹(0.3)¹¹ + ¹²C₂ (0.7)²(0.3)¹⁰ + ¹²C₃ (0.7)³(0.3)⁹ + ¹²C₄ (0.7)⁴(0.3)⁸ + ¹²C₅ (0.7)⁵(0.3)⁷]

         = 1 - (0.000000531 + 0.0000148 + 0.0001909 + 0.00148 + 0.00779 + 0.02911)

         = 1 - 0.0386

P(X≥6) = 0.9614

b) P(7≤ X ≤9) = P(X=7) + P(X=8) + P(X=9)

                     = ¹²C₇ (0.7)⁷(0.3)¹²⁻⁷ + ¹²C₈ (0.7)⁸(0.3)¹²⁻⁸ + ¹²C₉ (0.7)⁹(0.3)¹²⁻⁹

                     = 0.158 + 0.231 + 0.239

   P(7≤ X ≤9)  = 0.628

c) P(X≤5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

               = ¹²C₀ (0.7)⁰(0.3)¹² + ¹²C₁ (0.7)¹(0.3)¹¹ + ¹²C₂ (0.7)²(0.3)¹⁰ + ¹²C₃ (0.7)³(0.3)⁹ + ¹²C₄ (0.7)⁴(0.3)⁸ + ¹²C₅ (0.7)⁵(0.3)⁷

   P(X≤5) = 0.0386

4 0
3 years ago
Which of the following are NOT the lengths of the sides of a triangle?
Evgesh-ka [11]
2,3,6 because 2 and 3 cant equal 6

7 0
3 years ago
Find the value of x if h(x) = -25 in the function h(X) = 1/5x + 10
Dmitry_Shevchenko [17]

Answer:

x = -175

Step-by-step explanation:

Step 1: Define

h(x) = -25

h(x) = 1/5x + 10

Step 2: Substitute and Evaluate

-25 = 1/5x + 10

-35 = 1/5x

x = -175

3 0
3 years ago
Read 2 more answers
How do you multiply and then use distributive property?
morpeh [17]
It depends on the question given, for example

you can do distributive property will multiplying.

Example 1:

there is two ways on doing distributive property.

I can do 4(8+3)

add 8+3 since it is inside the parenthesis which equals = 11 then multiply the outside on what you added. 4x11= 44

example 2: I can also do it another way. 4(8+3) distribute the 4 by multiplying the 4 with both numbers. 4x8 and 4x3 which equals 32, and 12. add 32+12=44

so either way you will get the same answer. hope I helped.

6 0
3 years ago
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