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3 months ago

8

Alex and Nick collect baseball cards. Alex has three more than twice as many cards as Nick. Together they have 27 cards. How man

y cards does Alex have?

2 answers:

PIT_PIT [12.4K]3 months ago

5 0

Response:

21

Detailed explanation:

Svet_ta [12.7K]3 months ago

4 0

Response: 21

Detailed explanation:

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It is recommended that adults consume at least 1,000 mg of calcium every day. One ounce of whole milk contains about 25 mg of ca

Zina [12379]

Given:

It's advisable for adults to ingest no less than 1,000 mg of calcium daily.

$25x+200y\geq 1000$

Step-by-step explanation:

Let x represent the amount of milk in ounces, and y the amount of cheddar cheese in ounces.

A person fulfills the daily requirement if

$25x+200y\geq 1000$

For option A,

Substituting x=50 and y=2 into the provided inequality.

$25(50)+200(2)\geq 1000$

$1250+400\geq 1000$

$1650\geq 1000$

This statement is true. Hence, option A is correct.

Similarly,

For option B,

Substituting x=0 and y=4.5 into the provided inequality.

$25(0)+200(4.5)\geq 1000$

$900\geq 1000$

This statement is false. Hence, option B is incorrect.

For option C,

Substituting x=10 and y=3 into the provided inequality.

$25(10)+200(3)\geq 1000$

$850\geq 1000$

This statement is false. Hence, option C is incorrect.

For option D,

Substituting x=39 and y=0 into the provided inequality.

$25(39)+200(0)\geq 1000$

$975\geq 1000$

This statement is false. Hence, option D is incorrect.

The only correct option is A.

3 0

3 months ago

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma

babunello [11817]

2x - y = -6 y 3x - y = -5.

7 0

2 months ago

Read 2 more answers

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

lawyer [12517]

Answer:

Part a) Your budget is $40.

Part b) The price for one gallon of gasoline is $3.55, while a car wash costs $8.

Part c) $x \leq 9.01\ gal$

Part d) Refer to the explanation below.

Step-by-step explanation:

Please see the complete question in the attached image.

Part a) The budget is expressed by the equation

y = 40

therefore,

Your budget amounts to $40.

Part b) In terms of costs, how much is a gallon of gasoline and what is the car wash price?

Let

y ------> denote the total cost for a gallon of gasoline along with a car wash

x -----> define the volume of gasoline in gallons

We can express the relationship as

y = 3.55x + 8

For calculations, when x = 0, we have:

y = 3.55(0) + 8 = 8

The y-intercept signifies the cost of the car wash, being $8.

Now, to identify the price of one gallon of gasoline:

We know the slope of the linear function is

m = $3.55 per gallon

This confirms that a gallon of gasoline costs $3.55.

Part c) Formulate an inequality representing the potential quantity of gasoline you can purchase:

We have:

$3.55x+8 \leq 40$

Now, solve for x:

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Utilize the graph to determine the solution of the inequality from part c)

We can set up the system:

y = 40

y = 3.55x + 8

The solution lies at the intersection of both graphs. By observing the graph, the intersection appears to be around (9, 40).

This indicates that the maximum volume of gasoline purchasable within your budget is approximately 9 gallons.

6 0

3 months ago