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3 years ago

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A sandwich costs $0.75 more than a container of milk. A customer buys 4 sandwiches and 4 containers of milk. The customer pays $

7.00. What is the cost of a sandwich?

2 answers:

Iteru [2.4K]3 years ago

8 0

Let x be the cost of a sandwich

7 = 4x + 4 (x-0.75)
7 = 4x + 4x - 3
10 = 8x
8x = 10
x = 10/8
x = 1.25
A sandwich is $1.25

BigorU [14]3 years ago

7 0

Answer : The cost of sandwich is, $1.25

Step-by-step explanation :

Let the cost of sandwich be 'x' and the cost of container of milk be, 'y'

A sandwich costs $0.75 more than a container of milk. The equation will be:

$x=0.75+y$ .............(1)

A customer buys 4 sandwiches and 4 containers of milk. The customer pays $7.00. The equation will be:

$4x+4y=7.00$ ..............(2)

Now substitute the value of 'x' from equation 1 to equation 2, we get the value of 'y'.

$4x+4y=7.00$

$4(0.75+y)+4y=7.00$

$3+4y+4y=7.00$

$3+8y=7.00$

$8y=7.00-3$

$8y=4.00$

$y=\frac{4.00}{8}$

$y=0.5$

Now put the value of 'y' in equation 1, we get the value of 'x'.

$x=0.75+y$

$x=0.75+0.5$

$x=1.25$

The cost of sandwich = x = $1.25

The cost of container of milk = y = $0.5

Thus, the cost of sandwich is, $1.25

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Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 1114

DiKsa [7]

Answer:

$20

Step-by-step explanation:

Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?

Step 1

Find out how many loaves of bread he can produce from 18 cups of flour

11 1/4 cups of flour = 5 loaves of bread

18 cups of flour = x loaves of bread

Cross Multiply

11 1/4 cups × x loaves = 18 cups × 5 loaves

x loaves = 18 cups × 5 loaves/ 11 1/4 cups

x loaves = 90 ÷ 11 1/4

x loaves = 90 ÷ 45/4

x loaves = 90 × 4/45

x loaves = 8 loaves of bread

He can produce 8 loaves of bread from 18 cups of flour.

Step 2

We are told that:

1 loaf of bread costs $2.50

Hence,

1 loaf of bread = $2.50

8 loaves of bread = $x

Cross Multiply

$x = 8 loaves of bread × $2.50

$x = $20

Therefore, Paul made $20 from his bread sales

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2 years ago

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que

Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so $n = 50$ .

The student is going to guess each question, so he has a $\pi = \frac{1}{4} = 0.25$ probability of getting it right.

He needs to get at least 25 question right.

So we need to find $P(X \geq 25)$ .

Using a binomial probability calculator, with $n = 50$ and $\pi = 0.25$ we get that $P(X \geq 25) = 0.0001$ .

This means that the student has a 0.01% probability of passing the test.

Question 2.

Now, we need to find $P(X \geq 25)$ with $\pi = 0.70$ . So $P(X \geq 25) = 0.9991$

She has a 99.91% probability of passing in the test.

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