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 calcium, and one ounce of cheddar cheese contains 200 mg of calcium. If a person meets the recommendation by consuming x ounces of whole milk and y ounces of cheddar cheese, then 25x + 200y ≥ 1,000.Give three different amounts of milk and cheese that a person could consume to meet the recommendation.

Answers

Answer 1

Answer:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Step-by-step explanation:

Consider the inequality [tex]25x+200y\geq 1000[/tex]

Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.

To write: three different amounts of milk and cheese that a person could consume to meet the recommendation

Solution:

Take [tex]x=20,y=3[/tex]

[tex]25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000[/tex]

So, [tex]x=20,y=3[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Take [tex]x=30,y=4[/tex]

[tex]25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000[/tex]

So, [tex]x=30,y=4[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Take [tex]x=40,y=5[/tex]

[tex]25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000[/tex]

So, [tex]x=40,y=5[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Therefore,

three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese


Related Questions

what is the equivalent ratio to 1:5?

Answers

Answer:

2:10; 3:15; 4:20; etc

Step-by-step explanation:

The equivalent rations can be found by finding a common factor for 1:5. Examples include 2:10, 3:15, 4:20, etc. All of these have a common factor and thus are the equivalent ratios to 1:5.

The equivalent ratio to 1:5 is 2:10,3:15,4:20, etc.

Given that,

We need to find the equivalent ratio to 1:5.

Here the equivalent ratio could be determined by measuring the common factor.

Like 2:10 = 1:5

3:15 = 1:5

4:20 = 1:5

Therefore we can conclude that the equivalent ratio to 1:5 is 2:10,3:15,4:20, etc.

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i really need help i dont understand geometry please answer both

Answers

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{100}[/tex] ( multiply both sides by 100 )

100 × tan35° = opp , that is

opp ≈ 100 × 0.7002 = 70.02

Thus height of tree = 70.02 + 5 = 75.02 ft

--------------------------------------------------------------------

Using the tangent ratio in the right triangle on the right.

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25.17}{rope}[/tex] ( multiply both sides by rope )

rope × tan40° = 25.17 ( divide both sides by tan40° )

rope = [tex]\frac{25.17}{tan40}[/tex] = [tex]\frac{25.17}{0.839}[/tex] = 30 ft

How much is it | -7.9|?
Plllzzzzzz help mark you brainliest

Answers

Answer:

7.9

Step-by-step explanation:

When a number (or multiple numbers) is placed between two lines like this | |, that is the absolute value grouping symbol. Absolute value is the distance between the grouped number(s) and another defined number. In this case there are no other given numbers so 0 is assumed.

Now, say a friend is driving to your house and you call them to ask how far away they are from arriving (in distance), and they say "Around negative 5 miles away." That doesn't make sense! Distance can never be negative, and because absolute value is the distance between a number and another, a number within that grouping symbol can never be negative if there is a solution. Therefore, |-7.9| would be 7.9, because -7.9 is that exact amount away from 0.

please help. you don’t have to give me a explanation. it’s fine. but please help.

Answers

Answer:

Question 3 is- B. 8 ounces

Step-by-step explanation:

also for a test , due in a couple of hours .

Answers

Answer:

8 d)

Step-by-step explanation:

2x -10 = 3x +6 -4x +8

3x=24

x=8

Answer:

x = 8 (d)

Step-by-step explanation:

Expand

2x -  10 = 3x + 6 - 4x + 8

Collect like terms

2x - 3x + 4x = 6 + 8 + 10

3x = 24

Divide both sides by 3 to make x on its own

x = 8

find the value of x. (5x+4) 49

Answers

Answer:

X=9

Step-by-step explanation:

5 multiplied by 9 is 45 and 45 plus 4 is 49

Answer:

9

Step-by-step explanation:

todo esta en la foto Everything is in the picture

Answers

vendieron un total de 7 camas elásticas porque 689.50 / 98.50 son 7. (they sold a total of 7 trampolines because 689.50/98.50 is 7)

Please help thanks I appreciate it .

Answers

it’s congruent because both of the shapes are very similar to each other.
I’m pretty sure the answer is B!! :)

The water depth in a lake decreases at a rate of 2 inches per day because of evaporation. How much does the water depth change in 8 days? In 15 days? In 8 days, the water depth changes by inches. In 15 days, the water depth changes by inches.

Answers

Answer: In 8 days it will decrease by 16 inches and  in 15 days the water depth changes by 30 inches.

Step-by-step explanation:

The water depth decreases at a rate of 2 inches per day so in this case if were to write it as an expression it will be -2x  where x is the number of days.

We will have to set it equal the total amount that it has decreased which will be y.

y= -2x    If x  represent the number of days we will put in the days and solve for y.

y = -2(8)

y = -16     This means that in 8 days it will decrease by 16 inches.

y = -2(15)

y= -30   This also means that in 15 days the water depth changes by 30 inches.

Hurry :(
The length of a rectangular door is 35 inches, and the width of the door is 12 inches.
What is the length of a diagonal of this door in inches?

Answers

Answer:

The answer is d=37 in

Step-by-step explanation:

What is an equation of the line that passes through the point
(−6,5) and is parallel to the line x−3y=21?

Answers

Step-by-step explanation:

Parallel lines have the same slope.

x -3y = 21

y = (21-x)/-3 ==== y = 1/3x -7

Substitute the values,

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Thus, the equation is y = 1/3x + 7

An equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21 is y = 1/3x + 7.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We need to find an equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21.

Parallel lines have the same slope;

x -3y = 21

y = (21-x)/-3

y = 1/3x -7

Substitute the values;

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Therefore, the equation is y = 1/3x + 7

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CAN ANYONE HELP ME PLEASE AND THANK YOU

Answers

Answer:

(-3,5)

Step-by-step explanation:

Like drives to his grandmother’s house on Saturday. For the first three hours, he drives at a constant sped of 50 miles per hour.

Answers

Step-by-step explanation:

if you're asking for distance then,

V = s / t

50 mph = s / 3 hrs

50 mph × 3 hrs = s

150 miles = s

The _____ is used to compare values that are proportional.

Answers

Values which are proportional are represented by the Greek letter ‘Alpha’
So if A is proportional to B
We put the Alpha symbol between A and B to represent it

The Proportionality Constant is used to compare values that are proportional.

What is the meaning of Proportionality ?

When two variables are proportional to each other , change in one cause the change in the other .

There are two types of proportion, Direct and Indirect.

When on increasing one variable the other increases and vice versa it is called direct proportion .

When on increasing one variable the other decreases and vice versa it is called indirect proportion .

In the given question

The _____ is used to compare values that are proportional.

The Proportionality Constant is used to compare values that are proportional.

suppose

a   ∝  b

a = kb

here k is the Proportionality Constant and is used to compare the values.

To know more about Proportionality

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Factor the expression using the GCF 48+80
Please Help.

Answers

Answer:

Then common factor is 16

Step-by-step explanation:

The factored expression is equivalent to -

8(6 + 10)

What is Greatest Common Factor?

In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Given is to factor the given expression using the greatest common factor A = 48 + 80

For -

48 = 2 x 2 x 2 x 2 x 3

80 = 2 x 2 x 2 x 5

Using the greatest common factor, we can write -

48 + 80

8(6 + 10)

Therefore, the factored expression is equivalent to -

8(6 + 10)

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Which statement about the ordered pairs (3, – 8) and (4, 4) is true for the equation
3x - = 112
O (3, – 8) is a solution to the equation but not (4, 4).
Both ordered pairs are solutions.
Neither ordered pair is a solution.
O (4, 4) is a solution to the equation but not (3, – 8).

Answers

Answer:

Niether

Step-by-step explanation:

its not a solution

Niether it’s not a solution

Using the figure on the left, what is the measure of

Answers

Answer:

c = 30°

d = 60°

Step-by-step explanation:

Angle ZWC is a 90° angle

Angle YWX is a 60° angle

add them together and you get 150°

180 - 150 = c = 30°

c + d + 90° = 180°

substitute

30° + d + 90° = 180°

combine like terms

120° + d = 180°

subtract 120° from both sides

d = 60°

hope this helps!!

Answer:

c is 30 and d is 60

Step-by-step explanation:

I did it for hw

Find the slope when given the two points (-7, 4) and (-14, 3) a 7 b -1/7 c 1/7 d -7

Answers

Answer:

c

Step-by-step explanation:

because slope formula is

y1-y2/x1-x2 and 4-3 is 1 and -7- -14 which turns into -7 + +14 equals 7 so 1/7

A rectangle has width x + 2 and length 2x - 1 what is it’s perimeter

Answers

Answer:

P=6x+2

Step-by-step explanation:

P=2L+2w

P=2(2x-1)+2(x+2)

P=4x-2+2x+4                     can i get brainliest please?

P=6x+2

You decide to start a dog walking business and are trying to plan how much you to charge. You determine that you can only walk 5 dogs at the most at any given time. You also decide to charge in 30 minute intervals and, due to your schedule, you can only walk for 3 hours a day. Based on those conditions, what is the most amount of dogs that you can walk in a given day?

Answers

Answer:

The most amount of dogs that you can walk in a given day is 30 dogs.

Step-by-step explanation:

You decide to charge in 30 minute intervals, and due to your schedule you can only walk 3 hours a day. Then you must know how many intervals of walks you can do in those 3 hours a day that you can walk. Being 1 hour equal to 60 minutes, then 30 minutes equals 2 intervals in 1 hour. Then you can apply the following rule of three: if in 1 hour there are 2 intervals of 30 minutes, in 3 hours how many intervals of 30 minutes are there?

[tex]amounts of intervals=\frac{3hours*2 intervals}{1 hour}[/tex]

amount of intervals= 6 intervals

You determine that you can only walk a maximum of 5 dogs at a given time, that is, in each interval you can walk a maximum of 5 dogs. Then you can apply the following rule of three: if in 1 interval you walk a maximum of 5 dogs, in 6 intervals how many dogs do you walk a maximum?

[tex]amounts of dogs=\frac{5 dogs*6 intervals}{1 interval}[/tex]

amount of dogs= 30 dogs

The most amount of dogs that you can walk in a given day is 30 dogs.

I need to Know this Please.

Answers

Answer:

The last one is the answer

Which of the following would be equivalent to
113
117
117
O 11. 114
115
011

Answers

9514 1404 393

Answer:

  11·11^4

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a = a^1

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . . for any 'a' not 0

__

The given expression is ...

  (11^8)/(11^3) = 11^(8-3) = 11^5

The offered choices are ...

  (11^7)/(11^7) = 11^(7-7) = 11^0 = 1

  11·11^4 = (11^1)(11^4) = 11^(1+4) = 11^5 . . . . matches the given expression

  (11^0)/(11^5) = 11^(0-5) = 11^-5

  11^0 = 1

Check all that apply.
x2 - 4 = 0
A. X = 4
B. X = -2
C. x = 1
D. X = -4
E. X = 2
F. x = -1

Answers

This is the difference of squares rule. This is essentially the same exact thing as (x-2)(x+2). Apply FOIL and check if you feel the need. We can see the zeros the function are at 2 and -2

four examples of bias​

Answers

Answer:

the 4 main types of bias in research – sampling bias, nonresponse bias, response bias, and question order bias – that are most likely to find their way into your surveys and tamper with your research results

Step-by-step explanation:

.-.

A number is in expanded form: (9 x 10) + (6 x 1) + (2 x 1/100) + (3 x 1000) What is the number is standard form?

Answers

Answer:

96.023 is the answer yeah

Multi- step equations
3n - 5 = -8(6 + 5n)

Answers

Answer:

-1

Step-by-step explanation:

Original Equation:

3n - 5 = -8(6 + 5n)

Use distributive property on the parentheses.

-8 ⋅ 6 = -48

-8 ⋅ 5n = -40n

Equation now:

3n - 5 = -48 - 40n

Add 40n to both sides.

43n - 5 = -48

Add 5 to both sides.

43n = -43

Divide both sides by 43

n = -1

(I might not be right. I am sorry if I am am wrong. Don't get mad at me)

Hope I helped :)

Please consider Brainliest :)

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Use~distributive~property~to~multiply~-8~by~6+5n:[/tex]

[tex]\bold{-8}[/tex] × [tex]\bold{6=-48}[/tex][tex]\bold{-8}[/tex] × [tex]\bold{5n=-40n}[/tex][tex]\bold{We~use~distributive~when~we~have~parenthesis~over~an~equal.}[/tex]

[tex]2.)~Add~40n~to~both~sides:[/tex]

[tex]\bold{-40+40n=Cancels~Out}[/tex][tex]\bold{3n+40n=43n}[/tex][tex]\bold{~In~this~case~we~add~since-40n~is~negative.}[/tex]

[tex]3.)~Add~5~to~both~sides:[/tex]

[tex]\bold{-5+5=Cancels~Out}[/tex][tex]\bold{-48+5=-43}[/tex][tex]\bold{~In~this~case~we~add~since-5~is~negative.}[/tex]

[tex]4.)~Divide~both~sides~by~43:[/tex]

[tex]\bold{43n}[/tex] ÷ [tex]\bold{43=Cancels~Out}[/tex][tex]\bold{-43}[/tex] ÷ [tex]\bold{43=-1}[/tex][tex]\bold{You~divide~by~the~number~attached~to~the~variable~to~get~n~alone.}[/tex]

______________________________

 [tex]\bold{Answer:}[/tex]

[tex]\bold{n=-1}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]

Can anyone see now?
I really need help

Answers

3. Yes the cost of each item is proportional because in each pack each t-shirt cost $2.33. You can check that by dividing the amount of money each pack cost by the amount of shirts in each pack. For example the pack of 3 is $7, so 7/3 = $2.33. The pack of 5 cost $11.65, so 11.65/5 = $2.33. And the pack of 7 cost $16.31, so 16.31/7 = $2.33

4) Yes, it is proportional because each x is being squared or multiplied by it’s self.
By this comment I mean I am a liar and you don’t need me me a favor to you you don’t want me me you wanna fight sonic or something you don’t know how

8th grade urgent math super easy please

Answers

Answer:

n> -6

Step-by-step explanation:

-35n -28< 182

         +28    +28

______________

-35n < 210

n> -6

For a fundraiser, each donor package contains 333 food vouchers and 555 raffle tickets. Complete the double number line diagram to show the numbers of food vouchers and raffle tickets in 111, 222, 333, and 444 donor packages. Choose 1 answer: Choose 1 answer:

Answers

Answer:

It's A

Step-by-step explanation:

There are 65 people in a restaurant. The restaurant has a maximum capacity of 84 people. Write an inequality that represents the number x of additional people who can enter the restaurant​

Answers

Answer:

x+65≤84

Step-by-step explanation:

Inequality that represents the number 'x' of additional people who can enter the restaurant​ is -

x + 65 ≤ 84

What is inequality?

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given is a restaurant which has 65 people in it. The restaurant has a maximum capacity of 84 people.

Assume that 'x' more people can enter inside the restaurant. Then -

the inequality can be written as follows -

x + 65 ≤ 84

65 people were already inside. 'x' more people can enter it such that the total number of people inside is either less or greater than 84.

Therefore, inequality that represents the number 'x' of additional people who can enter the restaurant​ is -

x + 65 ≤ 84

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