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liq [111]
3 years ago
6

The Miller family visited Mama's Kitchen and ordered 4 hamburgers and 3 medium fries and paid $18.69. James ordered a medium dri

nk, a hamburger, and 2 medium fries and paid $8.66. Steven ordered 2 hamburgers, medium fries, and a medium drink for $10.27. How much did each item cost?
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0
To answer the question, let x be the cost of each hamburger, y be the cost of each medium fries, and z be the cost of each medium drink. The equations that are described in the problem are,
       (Miller )        4x + 3y = 18.69
       (James)       x + 2y + z = 8.66
       (Steven)      2x + y + z = 10.27
Solving simultaneously for the values of the variables give x = 3.36, y = 1.75, and z = 1.8. 
Thus, each hamburger costs $3.36. Each medium fries cost $1.75, and each drink costs $1.8.
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On the day of his 18th birthday harry decided to start saving money regularly
Veseljchak [2.6K]

We have been given that on the day of his 18th birthday Harry decided to start saving money regularly . Starting on that day, he could save 30.00 on the same date every month. We are asked to find the amount saved by the day before Harry's 60th birthday.

First of all, we will find years from 18 years to 60 years.

\text{Years}=60-18=42

We know that 1 year equals 12 months.

\text{42 years}=12\times 42\text{ Months}=504\text{ Months}

To find total amount saved, we will multiply 504 months by amount saved per month.

\text{Total amount saved}=\$30\times 504

\text{Total amount saved}=\$15,120

Therefore, Harry would have saved \$15,120 by the day before his 60th birthday.

3 0
3 years ago
What is the probability of getting either blue or green on a spinner that is 3/10 greens and 1/5 blue?
Semmy [17]

Answer:

1/2 or 0.50

Step-by-step explanation:

To find the probability of getting either blue or green on a spinner, we must add both probabilities together.

\frac{3}{10}+\frac{1}{5}  = ?

To make adding our two fractions easier, we need to make sure they have like denominators.

\frac{1*2}{5*2} =\frac{2}{10}

Now that the denominators of our probabilities are the same, we can add them together to get our answer.

\frac{3}{10} +\frac{2}{10}=\frac{5}{10}

\frac{5}{10} =\frac{1}{2} or 0.50

5 0
3 years ago
A sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's p
Grace [21]

Answer:

Yes, we have sufficient evidence at the 0.02 level to support the company's claim.

Step-by-step explanation:

We are given that a sample of 1500 computer chips revealed that 32% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that above 29% do not fail in the first 1000 hours of their use.

Let Null Hypothesis, H_0 : p \leq 0.29  {means that less than or equal to 29% do not fail in the first 1000 hours of their use}

Alternate Hypothesis, H_1 : p > 0.29  {means that more than 29% do not fail in the first 1000 hours of their use}

The test statics that will be used here is One-sample proportions test;

          T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = proportion of chips that do not fail in the first 1000 hours of their use = 32%

            n = sample of chips = 1500

So, <u>test statistics</u> = \frac{0.32-0.29}{\sqrt{\frac{0.32(1-0.32)}{1500} } }

                              = 2.491

<em>Now, at 0.02 level of significance the z table gives critical value of 2.054. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it fall in the rejection region.</em>

Therefore, we conclude that more than 29% do not fail in the first 1000 hours of their use which means we have sufficient evidence at the 0.02 level to support the company's claim.

7 0
3 years ago
What is the sum of the angles 'a' and 'b' from the diagram below.
VikaD [51]

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

3 0
3 years ago
I think it’s b but I may be wrong
leonid [27]

Answer:

D, not B

Step-by-step explanation:

So using Pythagorean Theorem:

C^{2} =A^{2} +B^{2} \\x^{2} =144+265\\x^{2} =400\\x=20

Yep, It's not B, But D.

Hope this helps!

Stay Safe!

6 0
3 years ago
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