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Ilia_Sergeevich [38]
2 years ago
8

Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?

Mathematics
2 answers:
Allushta [10]2 years ago
6 0

Answer:

$54

Step-by-step explanation:

Studentka2010 [4]2 years ago
5 0

Answer:

$54

Step-by-step explanation:

\frac{x}{45} = \frac{20}{100}

To get x which is the 20% tip

1. 45×20 = 900

2. 900÷100=9

3. 9 is the tip

To get the total cost, you would have to add $9 to $45 which is $54.

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What is 27 players for 12 spots expressed as a rate?
Anika [276]

Answer:

9 p 4 s

Step-by-step explanation:

That's the answer.

4 0
2 years ago
Sonny deposited $8,500 in an account that earns 4% simple interest. If Sonny makes no more deposits or withdrawals, then how muc
SashulF [63]

Answer: $680.00

Step-by-step explanation:

Principal= 8500

Rate= 4%

Time= 2 years

Interest= (Principal×Rate×Time)/100

= (8500×4×2)/100

= 68000/100

= $680

The interest is $680

5 0
2 years ago
Read 2 more answers
What number is represented by 4x²+17x+2 if x=10?
Fynjy0 [20]

Answer:

at x = 10,   4x^{2}  + 17x + 2  = 572

Step-by-step explanation:

The given equation is 4x^{2}  + 17x + 2

Here, lets substitute the value of x = 10

So, the equation simplifies to ,

4 \times (10)^{2}  + 17(10) + 2

= (4 x 100)  + 170 + 2 = 400 + 170 + 2

= 572

So, at x = 10,   4x^{2}  + 17x + 2 = 572

4 0
2 years ago
A craft vendor must sell at least $300 worth of merchandise to make a profit. Scarves sell for $10 each and hats sell for $20 ea
valina [46]
There is a missing graph in the problem given. However, we can simply solve the equation using the given data.

Items to be sold: scarves and hats. Minimum of 20 items sold in all.
Scarves sell for 10 each and hats sell for 20 each. Must sell at least 300 worth of merchandise to make profit. 

Let s represent scarves and h represent hats.

10s + 20h <u>></u> 300
s + h <u>></u> 20

We use inequality because the problem states "at least". 

s + h = 20
10s + 20h = 300

s = 20 - h
10(20-h) + 20h = 300
200 - 10h + 20h = 300
10h = 300 - 200
10h = 100
h = 100/10
h = 10

s = 20 - h
s = 20 - 10
s = 10

s + h <u>></u> 20
10 + 10 <u>></u> 20

10s + 20h <u>></u> 300
10(10) + 20(10) <u>></u> 300
100 + 200 <u>></u> 300

7 0
2 years ago
Read 2 more answers
Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The foundation chair for a hosp
slavikrds [6]

Answer:

For this case we want to test if the mean number of filled overnight beds is over​ 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:

Null Hypothesis: \mu \leq 523

Alternative hypothesis: \mu > 523

And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over​ 523 is not statistically supported

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if the mean number of filled overnight beds is over​ 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:

Null Hypothesis: \mu \leq 523

Alternative hypothesis: \mu > 523

And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over​ 523 is not statistically supported

6 0
2 years ago
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