Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?

Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem.

Answers

Answer 1
We are given : Cost of a gallon of milk = $2.50.
Cost of a cup of yogurt = $1.20.
Total money Monica has = $20.
Number of cups of yogurt Monica can buy = x.
And inequality made is also correct
1.20x + 2.5 ≤ 20.
Now, we need to solve it for x.
Subtracting 2.5 from both sides, we get
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Dividing both sides by 1.20, we get
1.20x/1.20 ≤ 17.5/1.20.
x ≤ 14.5833...
Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.
Answer 2

Greatest number of cups of yogurt Monica can buy is equals to 14cups.

What is Linear inequality?

" Linear inequality is the algebraic mathematical expression which compares two value with the sign of inequality, <, > , ≤, ≥ ."

According to the question,

Given,

Total amount with Monica = $20

Cost of a gallon on milk = $2.50

Cost of 1cup of yogurt = $1.20

Given linear inequality

 1.20x + 2.5 ≤ 20

x represents the number of cups of yogurt

Solve linear inequality  to get the value of x we have,

1.20x+2.5 -2.5 ≤ 20-2.5

⇒1.20x ≤ 17.5

⇒x ≤  17.5 / 1.20

⇒x ≤  14.58

14 ≤ 14.58 ≤  15

Therefore, 14 of cups of yogurt Monica can buy.

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Related Questions

The planet Mars has a radius of 3400 km. What is the volume of Mars?

Write your answer in scientific notation to three decimal places.

Answers

Answer:

1.646×10¹¹ km³.

Step-by-step explanation:

From the question given, we obtained the following information:

Radius (r) = 3400 km

Volume (V) =.?

The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:

Radius (r) = 3400 km

Pi (π) = 3.14

Volume (V) =.?

Volume of a sphere = 4/3 πr³

V = 4/3 × 3.14 × (3400)³

V = 4/3 × 3.14 × 3.9304×10¹⁰

V = 1.646×10¹¹ km³

From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³

Find the difference. (3 • 1,000) – (2 • 100) 100 1,000 1,900 2,800

Answers

Answer:

[tex]2,800[/tex]

Step-by-step explanation:

[tex]\left(3\cdot \:1,000\right)-\left(2\cdot \:100\right)[/tex]

[tex]3,000-\left(2\cdot \:100\right)[/tex]

[tex]3,000-200[/tex]

[tex]2,800[/tex]

Is 8.168 a rational number?

Answers

Answer:

yes

Step-by-step explanation:

A golfer earned the following scores over several rounds of golf: −3, 2, 0, −1, 2, −4. Jamar says these numbers can all be described as integers, while Sophia says they are whole numbers. Which student is correct? Explain how you know.

Answers

Answer:

Jamar is correct.

Step-by-step explanation:

The scores are as follows :

−3, 2, 0, −1, 2, −4.

These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.

Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.

It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....

Write an equation for the description . The length of a rectangle is twice its width . The perimeter of the rectangle is 122 feet.

Answers

Answer:

  122 = 2(2w +w)

Step-by-step explanation:

If we let w represent the width of the rectangle, then 2w is the length of it. The perimeter is twice the sum of length and width.

  P = 2(L+W)

  122 = 2(2w +w) . . . . an equation for the description

A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formula to determine the perimeter of the ballroom

Answers

Answer:

2l+2w, 60+60+30+30

Step-by-step explanation:

2(length)+2(width)

The perimeter of the ballroom will be represented by 2l+2w, and 2( 60 + 30 ).

What is a perimeter?

The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.

A quadrilateral with four right angles is a rectangle. As all of its angles are equal, it can alternatively be described as an equiangular quadrilateral or a parallelogram with a right angle.

Given that a ballroom is 60 ft long and 30 ft wide. The equation for the perimeter of the ballroom will be calculated as:-

Perimeter = 2 ( l +  w)

Perimeter = 2 ( 60 + 30 )

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Which expression is equivalent to 9+9x+9y?

Answers

Answer:

9(1 + x + y)

Step-by-step explanation:

[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]

hat is the quotient of 78.3 ÷ 3.48?

Answers

Answer:

a answer to a division problem

Step-by-step explanation:because thats have it is U-U

Answer:

The quotient is 22.5

Step-by-step explanation:

78.3/3.48 783/10/348/100 783/10/2^2*3*29/2^2*5^2 which gives you 45/2 divide that and it gives you 22.5 as your answer

Hope this helps

The governor of state A earns ​$54,675 more than the governor of state B. If the total of their salaries is ​$284,695​, find the salaries of each.
The governor of state A earns ​$nothing​, and the governor of state B earns ​$nothing.

Answers

Answer:

Government A earns 54 675 US$, Government B earns 230 020 US$

Step-by-step explanation:

how many solutions does the following equation have 8u+3(1/3u-6)=9u+2u+12

Answers

how many solutions does the following equation have [tex] 8u+3(1/3u-6)=9u+2u+12[/tex]

Without even working out anything we can easily tell the answer is [tex]1[/tex] because the degree of the equation is one.

If you haven't learned this yet let me know and I will post the manual work.

:)

Answer:

  1 solution

Step-by-step explanation:

When put in general form, the coefficient of u is non-zero, so there is 1 solution.

  0 = 9u +2u +12 -(8u +3(1/3u -6))

  0 = 11u +12 -8u -3(1/3u -6)

  0 = 3u +12 -u +18

  0 = 2u +30 . . . general form equation

  0 = u +15

  -15 = u . . . . . one solution

the difference of -9 and -6?

Answers

Answer:

15

Step-by-step explanation:

-9+9=0+6

9+6=15

That is the answer i think so

The answer is 15. Because 9+6=15

The decimal .28654 rounded to the nearest thousandth is ____.

Answers

Answer:

8000,I think this is right answer

Answer:

.287

Step-by-step explanation:

5 rounds up which makes the 6 a 7.

how do we use inverse functions in everyday life

Answers

we basically use inverse functions in our daily lives all the time

to give you a more complicated example : knowing the interest rate, you have a function to calculate the cumulative value of an installment payment

functions are also used in computing

The dot plot shows the number of touchdowns a football team scored in 10 games

Answers

Answer:

Step-by-step explanation:

5

which value is a solution to the inequality 2x-5<-12?

Answers

Answer:

x < -4

Step-by-step explanation:

2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4 and your answer!

Answer: x<7/2

Step-by-step explanation:

Step 1. You are moving the constant, 5, to the right-hand side and changing the sign from a - to a +. Your new inequality is 2x<-12+5.

Step 2. Calculate the sum. You are adding -12 and 5. This is what your new inequality looks like: 2x<-7.

Step 3 (final step). You will now divide both sides by 2, and you will get a final answer of x<-7/2.

Hope this helps!

the square root of a number, less than nine (write into a verbal expression)

Answers

Answer: 9 - [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Let say the number is x.

So the square root of x will  be [tex]\sqrt{x}[/tex]  and is less than 9  so we will subtract that from 9.

[tex]9-\sqrt{x}[/tex]

data was collected ​

Answers

ok? what data?? i need context

Is this correct? Please let me know

Answers

Answer:

Step-by-step explanation:

i think yes

Yes the answer is correct

15 multiplied by what makes 80

Answers

Answer:

5.33

Step-by-step explanation:

It is a repetitive decimal.

Please help me with these two questions.

Answers

Answer:

gooooooooood

Step-by-step explanation:

I kie that

What is 1+6 idk know what is it I need help

Answers

7. Use a calculator if you’re unsure!

proportional relationships

Answers

Answer:

relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Step-by-step explanation:

a/b=c for b helpp!! please

Answers

A / b = c

Multiply both sides by b

A = bc

Divide both sides by c

A / c = b

The midpoint of AB is M(0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?

Answers

Answer: (-2,-7)

Step-by-step explanation:

The coordinates of  B is  (-2, -7).

What is co-ordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]

Given:

Let the coordinates of  B be (x, y).

We have to find the coordinates of  B.

According to given question we have,

Then, (x + 2) / 2 = x-coordinate of M = 0.

So, x = -2.

(y + 1) / 2 = y-coordinate of M = -3.  

So, y = -7.

Therefore,  the coordinates of  B is  (-2, -7).

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Find the value of B

Answers

34, all angles in a triangle when added together must equal 180.

Answer:

34

Step-by-step explanation:

b+115°+31°= 180° (sumof all angles of triangle)

b=146°-180°

b=34°

hope it helps you!

steffie matt

The circumference of a circle is 16Pi ft

Answers

Area of the circle: 64π ft²

Radius of circle: 8 ft

The circumference formula: C = d · π

We can plug in the values we know.

16π = d · π; We can cancel out the π, as it is on both sides.

d = 16ft; r = 8ft

The area formula: A = πr²

A = 64π ft²

solve for W in the scientific formula c= wtc/1,000

Answers

Answer:

1000/t=w

Step-by-step explanation:

The first thing we need to do is, multiply 1000 to both sides,

c(1000)=wtc

now we need to divide both sides by tc

c(1000))/(tc)=w

The c's on the left side will cancel out

1000/t=w

Step-by-step explanation:

hdhdhdhdhddjdifififiifr

You started this year with $440 saved and you continue to save $11 per month.
Write an equation to model this situation (use m for months and s for savings).

Answers

11m + 440 = s
($11/ month plus your already saved $440 equals total savings)

The frequency table shows the results of tossing a number cube 50 times. Which statement
is reasonable, based on the data?

Answers

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = [tex]\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}[/tex]

                                                           = [tex]\frac{10}{8+10+6+10+7+9}[/tex]

                                                           = [tex]\frac{10}{50}[/tex]

                                                           = [tex]\frac{1}{5}[/tex]

Therefore, option (4) is incorrect.

In your notebook, draw ray OB between ray OA and OC. When you have finished, select the figure below that represents the figure you drew. (please help)​

Answers

Answer:

I'm fairly certain the answer is A, The first one

explanation:

Ray OB is between rays OA and OC

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