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Firlakuza [10]
2 years ago
10

Lola bought x pencils that cost $0.25 each and y erasers that cost $0.50. She spent less than $3. Which graph represents Lola’s

purchase?

Mathematics
2 answers:
Amiraneli [1.4K]2 years ago
6 0

Answer:

Inequality is 0.25x+0.5y\leq 3 and the graph is shown below.

Step-by-step explanation:

Let the number of pencils bought = x and the number of erasers bought = y.

Now, Cost of 1 pencil = $0.25. So, the cost of x pencils = 0.25x dollars

Also, Cost of 1 eraser = $0.5. So, the cost of y erasers = 0.5y dollars

Since, she spent less than $3.

So, we have the inequality,

Cost of x pencils + Cost of y erasers ≤ Maximum amount spent

i.e. 0.25x+0.5y< 3

So, the graph representing the inequality is given below.

Nady [450]2 years ago
4 0
X would have to be less than 12, y would have to be less than 6. So a graph displaying x less than or equal to 12 and y less than or equal to 6.
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Sladkaya [172]

Answer:

9.2 ounce bottle cost $6.12 is better buy with unit price of $0.22

Step-by-step explanation:

Unit price of any product is given by

unit price = weight of product/ price of product

Given sizes

A

13.5 ounces bottle cost $2.98

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

 cost of 1 ounce of shampoo for this size =2.98/13.5 = $0.22

Unit price for this size is $.022

B

9.2 ounce bottle cost $6.12

cost of 1 ounce of shampoo for this size = cost price/weight of shampoo

 cost of 1 ounce of shampoo for this size =6.12/9.2 = 0.66

Unit price for this size is $0.66

As $0.22 is less than $0.66 thus,

9.2 ounce bottle cost $6.12 is better buy.

6 0
2 years ago
a total of 17100 seats are still available for the next hockey game.if 62% of the tickets are sold how many seats are in the are
BartSMP [9]
If 62% of the seats are sold; 

100-62= 38% seats still available. 

17100=38% seats available

17100/38= seats in 1%
450 seats

In 100%, 
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2 years ago
Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole
Art [367]

Answer:

a = 5 and b = 12

Step-by-step explanation:

<u>Step 1: Find angle B</u>

<em>Angle C = 90°</em>

<em>Angle A = 22.6°</em>

<em>Angle B = B</em>

<em>All angles in a triangle are equal to 180°.</em>

Angle A + Angle B + Angle C = 180°

22.6 + 90 + B = 180°

B = 180 - 112.6

B = 67.4°

<u>Step 2: Find the value of side AC 'b'</u>

<em>Hypotenuse = 13</em>

<em>Adjacent = b</em>

<em>Angle A = 22.6°</em>

Cos (Angle) = Adjacent/Hypotenuse

Cos (22.6) = b/13

b = 12

<u>Step 3: Find the value of side CB 'a'</u>

<em>Hypotenuse = 13</em>

<em>Opposite = a</em>

<em>Angle A = 22.6°</em>

Sin (angle) = Opposite/Hypotenuse

Sin (22.6°) = a/13

a = 4.99 rounded off to 5

Therefore, the value of a=5 and b=12.

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2 years ago
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qaws [65]

Answer:

A) Yes, because P (F∩S) = 0

Step-by-step explanation:

Hello!

50 customers of a store were asked to choose between two discounts:

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Discount 2: 10% off all purchases for the week.

28 choose discount 1

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Two events are mutually exclusive when the occurrence of one of them prevents the other from occurring in one repetition of the trial and the intersection between these two events is void with zero probability of happening.

In this case, since the customers were asked to choose one out of the two events, if the customer chooses the first one, then he couldn't have chosen the second one and vice-versa. Then the intersection between these two events has zero probability, symbolically:

P(F∩S)=0

I hope it helps!

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Jaden gets 40, Caden gets 100
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