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mr Goodwill [35]
2 years ago
10

Two customers go to a fast food restaurant the first customer buys two burgers and one french fry for $4.75 the second customer

buys three hamburgers and three french fries for nine dollars how much does each hamburger cost
Mathematics
1 answer:
Kazeer [188]2 years ago
6 0

Answer: $1.75

Step-by-step explanation:

Assume hamburgers are x and French fries are y.

Use a simultaneous equation to solve;

2x + y = 4.75

3x + 3y = 9.00

Using substitution;

2x + y = 4.75

y = 4.75 - 2x

Solving it;

3x + 3y = 9

3x + 3 * (4.75 - 2x) = 9

3x + 14.25 - 6x = 9

-3x = 9 - 14.25

-3x = -5.25

x= -5.25/-3

x = 1.75

y = 4.75 - 2x

= 4.75 - 2 * 1.75

= 1.25

Hamburgers are x so they cost $1.75 each.

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Step-by-step explanation:

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Stephanie wants to buy 6 pencils case at a cost of $0.99 each.How many will the 6 pencils cases cost altogether
levacccp [35]

6 pencil cases would cost $5.94.

You can create an expression to represent the scenario.

6×$0.99

=$5.94 for 6 pencil cases

6 0
3 years ago
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Need help asap plz ​
stepladder [879]

Answer:

Step-by-step explanation:

1.

sum > 8 or 9,10,11,12

events sum >8 are 36,45,54,63,46,55,64,56,65,66

no. of events=10

p=10/36=5/18

2.

P=291/2237

3.

p=\frac{1}{8}*\frac{4}{8}=\frac{1}{16}

4.

a.

P=5/246

b.

p=208/246=104/123

5.

             yes     no       total

student   56     42         98

teacher     3        7         10

total         59     49        108

8 0
2 years ago
A batch of 40 semiconductor chips is inspected by choosing a sample of 5 chips. Assume 10 of the chips do not conform to custome
butalik [34]

Answer:

a) 658008 samples

b) 274050 samples

c) 515502 samples

Step-by-step explanation:

a) How many ways sample of 5 each can be selected from 40 is just a combination problem since the order of selection isn't important.

So, the number of samples = ⁴⁰C₅ = 658008 samples

b) How many samples of 5 contain exactly one nonconforming chip?

There are 10 nonconforming chips in the batch, and 1 nonconforming chip for the sample of 5 be picked from ten in the following number of ways

¹⁰C₁ = 10 ways

then the remaining 4 conforming chips in a sample of 5 can be picked from the remaining 30 total conforming chips in the following number of ways

³⁰C₄ = 27405 ways

So, total number of samples containing exactly 1 nonconforming chip in a sample of 5 = 10 × 27405 = 274050 samples

c) How many samples of 5 contain at least one nonconforming chip?

The number of samples of 5 that contain at least one nonconforming chip = (Total number of samples) - (Number of samples with no nonconforming chip in them)

Number of samples with no nonconforming chip in them = ³⁰C₅ = 142506 samples

Total number of samples = 658008

The number of samples of 5 that contain at least one nonconforming chip = 658008 - 142506 = 515502 samples

6 0
2 years ago
Which ordered pair in the form (x, y) is a solution of this equation?
laiz [17]

Answer:

Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.

Step-by-step explanation:

A. (-2,-3)

3 * (-2) - 4 * (-3) = 21

-6 + 12 = 21

6 = 21 <u>not equal</u>

B. (0,7)

3 * 0 - 4 * 7 = 21

0 - 28 = 21

- 28 = 21 <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u>

C. (7,0)

3 * 7 - 4 * 0 = 21

21 - 0 = 21

21 = 21 <u>equal</u>

6 0
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