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ioda
1 year ago
10

A store sells 2 sizes of mugs: a small mug for $3.50 and a large mug for $6.80. A customer buys 15 mugs and pays $69. How many m

ugs of each size does the customer buy?
Mathematics
1 answer:
kirill [66]1 year ago
8 0

An equation is formed of two equal expressions. The number of small cups the customer bought is 10, while the number of large cups customer bought is 5.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of small cup be represented by x, while the number of large cup be represented by y. Therefore, the total number of cups bought by the customer can be written as,

x + y = 15

Solving the equation for y,

y = 15 - x

The total amount that is paid by the customer can be written as,

3.50x + 6.80y = 69

3.50x + 6.80(15 - x) = 69

3.50x + 102 - 6.80x = 69

-3.3x  = 33

x = 10

Substitute the value of x in any one of the above equation,

x + y = 15

10 + y = 15

y = 5

Hence, the number of small cups the customer bought is 10, while the number of large cups customer bought is 5.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

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Which statement is true about the equations –3x + 4y = 12 and x – y = 1?
Firlakuza [10]
-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15

x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

6 0
3 years ago
Determine whether the following function is one-to-one. f ( x ) = 6 x + 1
seraphim [82]

Answer:

one to one function

Step-by-step explanation:

f(x)=6x+1 can only be a one to one function when x1=x2

Now,

f(x1)=f(x2)

or, 6x1 + 1 = 6x2 + 1

or, 6x1 = 6x2

or, x1 = x2

So f(x)= 6x + 1 is a one to one function

4 0
2 years ago
Sheila buys two concert tickets from her friend she pays $90 for the two tickets she looks at the tickets and sees that each tic
Maru [420]

Cost of two tickets that Sheila paid to her friend = $ 90

Actual price of 1 ticket = $ 52.50

So, actual price of 2 tickets = 52.50\times2=105

Hence, markdown or discount Sheila's friend gave her is =

105-90=15

The answer is $15.


8 0
2 years ago
Read 2 more answers
From the set { 1, 2, 3, 4, 5} which values make the inequality true?
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C I'm pretty sure , it says I need more words so I'm just gonna keep typing
8 0
3 years ago
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production grou
krok68 [10]

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: H_0: \mu = 12

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

H_a: \mu \neq 12

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that \mu = 12

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that n = 15, X = 12.05, \sigma = 0.08

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}

z = 2.42

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

6 0
2 years ago
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