All categories

2 years ago

6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of

Mathematics

1 answer:

PilotLPTM [1.2K]2 years ago

3 0

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

$a=\$4.25$

$b=\$2.25$

$c=\$4.00/lb$

we know that

He wants to buy a tuna sandwich, a bottle of apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

$a+b+cx \leq 8$

substitute the given values

$4.25+2.25+4.00x \leq 8$

Solve for x

Combine like terms

$6.50+4.00x \leq 8$

Subtract 6.50 both sides

$4.00x \leq 8-6.50$

$4.00x \leq 1.50$

Divide by 4 both sides

$x \leq 1.50/4.00$

$x \leq 0.375\ lbs$

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

You might be interested in

The keyless entry system in some cars uses a 4-digit keypad. There are 10 possible digits, and the digits can be repeated. How m

Len [333]

This item can be answered through the concept of fundamental principles of counting. In the first of the four digits, there are 10 possible digits. The same with all the other 3 places or digits of the code. That is,
n = 10 x 10 x 10 x 10
Giving us the answer of 10,000. Thus, there are 10,000 possible keys for the keyless entry.

8 0

2 years ago

Read 2 more answers

if the sales tax rate is 7.25% in california, then how much would u pay in los angeles for a coat that cost $120.00

natima [27]

Answer:

The amount to be pay for coat is <u>$128.70</u>.

Step-by-step explanation:

Given:

The sales tax rate is 7.25% in California.

The cost for a coat in Los angeles is $120.00.

Now, to find amount to be paid.

Sales tax = 7.25%.

Cost = $120.00.

So, amount to be paid = $120 + 7.25% of $120.00.

$=120+\frac{7.25}{100} \times 120.$

$=120+\frac{870}{100}.$

$=120+8.70$

$=\$128.70$

Therefore, the amount to be pay for coat is $128.70.

7 0

2 years ago

The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V

aleksklad [387]

Answer:

The answer is explained below

Step-by-step explanation:

Given that The volume of air inside a rubber ball with radius r can be found using the function V(r) = $\frac{4}{3}\pi r^3$ , this means that the volume of the air inside the rubber ball is a function of the radius of the rubber ball, that is as the radius of the rubber ball changes, also the volume of the ball changes.

As seen from the function, the radius is directly proportional to the volume of the ball, if the radius increases, the volume also increases.

$V(\frac{5}{7} )$ is equal to the volume of the ball when the radius of the ball is $\frac{5}{7}$ . Therefore:

$V(\frac{5}{7} )=\frac{4}{3} \pi *(\frac{5}{7} )^3=1.53\ unit^3$

3 0

2 years ago

Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear r

faltersainse [42]

The value 65.8 is the y-intercept which means that we will get y = 65.8 if x is equal to zero. This means that 65.8 is the score that one can get if he does not study at all.

7 0

2 years ago

Read 2 more answers

The sum of the digits of a two-digit number is 13. If 27 is added to the number, the digits will be interchanged. Find the numbe

Lesechka [4]

Hello from MrBillDoesMath!

Answer:

Discussion:

Suppose the 2-digit number is "ab". That is, 10a + b.

Sum of digits = 13 => a + b = 13 (*)

Digits reversed if 27 added to number => (10a + b) + 27 = 10b + a (**)

(**) =

(10a + b) + 27 = 10b + a => subtract 10b, then a, from both sides

9a -9b = -27 => divide both sides by 9

a - b = -3

From (*), a+ b = 13 so

(a-b) + ( a+b) = -3 + 13 =>

2a = 10 =>

a = 5

As a +b = 13, 5 + b = 13 => b = 8

Hence the number "ab" is 58

Thank you,

MrB

8 0

2 years ago