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wolverine
3 days ago
14

casey bought sandwiches and a bag of chips. Each sandwich cost three times as much as bag of chips. She bought 5 sandwiches for

6 dollars each and spent 42 dollars. How many bags of chips b did she buy?
Mathematics
2 answers:
Inessa [3.9K]3 days ago
4 0

Answer:

She acquired 3 bags of chips.

Step-by-step explanation:

The price of 1 sandwich is $6.

Each sandwich costs three times as much as a single bag of chips.

Thus, the cost of a bag of chips equals \frac{6}{3}=2.

Let x signify the number of chip bags she obtained.

We know that she bought 5 sandwiches priced at 6 dollars each, resulting in a total of 42 dollars.

The expense of 6 sandwiches is represented as 6 \times 6 = 36.

The cost of x chip bags amounts to 2x.

According to the information provided

36+2x=42.

2x=6.

x=3.

Therefore, she purchased 3 bags of chips.

AnnZ [3.8K]3 days ago
3 0

Answer:

4

Step-by-step explanation:

Each sandwich costs 6 dollars, while chips sell for 3 dollars. She purchased 5 sandwiches at 6 dollars each, amounting to 30 dollars (5*6=30). This leaves her with 12 dollars to use since her total expenditure was 42 dollars. Given that chips are 3 dollars each, with 12 dollars left, 4 bags could be bought (4 * 3 = 12).

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Answer:

a) 0.00019923%

b) 47.28%

Step-by-step explanation:

a) To determine the likelihood that all sockets in the sample are defective, we can use the following approach:

The first socket is among a group that has 5 defective out of 38, leading to a probability of 5/38.

The second socket is then taken from a group of 4 defective out of 37, following the selection of the first defective socket, resulting in a probability of 4/37.

Extending this logic, the chance of having all 5 defective sockets is computed as: (5/38)*(4/37)*(3/36)*(2/35)*(1/34) = 0.0000019923 = 0.00019923%.

b) Using similar reasoning as in part a, the first socket has a probability of 33/38 of not being defective as it's chosen from a set where 33 sockets are functionally sound. The next socket has a proportion of 32/37, and this continues onward.

The overall probability calculates to (33/38)*(32/37)*(31/36)*(30/35)*(29/34) = 0.4728 = 47.28%.

5 0
7 days ago
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
lawyer [4008]

Answer: The most significant angle created during his journey appears at the mall, between his house and the library.

Step-by-step explanation:

Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.

For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.

Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.

If you need further clarification or have questions, feel free to ask!

7 0
4 days ago
Read 2 more answers
Match each step to its justification to solve 2x+5=19
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It includes the procedures to reach that specific point.
Some of them are arranged incorrectly.
I will label them with letters.

The sequence is:
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7


A: initial condition
B: we subtracted 5 from both sides based on the subtraction property of equality
C: perform the subtraction
D: applying the division property of equality (dividing both sides by 2)
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5 0
7 days ago
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Each August a restaurant rent is adjusted to the cost of living index. The rent has $1,550 a month, the cost-of-living index for
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Answer:
new rent = $1,607.35

Explanation:
Let's consider the original rent as x

Given that the increase in rent is 3.7%.
Thus:
new rent = x + 3.7% of x
new rent = x + 0.037 x

With x = 1550, we find:
new rent = 1550 + 0.037(1550)
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I hope this clarifies!:)
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13 days ago
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The value of Zlatan's house has increased by 7%. his house is now valued at £749,000. work out the value of the house before the
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Answer:

£700,000

Detailed explanation:

Let x represent the original price of the house. Keeping in mind that

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Upon a 7% increase in the house value, it is now set at £749,000. We can express this as

x+\frac{7}{100}x = 749,000

We can solve for x now:

x+\frac{7x}{100}=749,000\\100x + 7x = 74,900,000\\107 x = 74,900,000\\x=\frac{74,900,000}{107}=700,000

Thus, the initial valuation of the house was

£700,000

4 0
7 days ago
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