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klio [65]
3 years ago
16

Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5.

Which inequality represents his purchase? 1.29x + 0.85y < 5 1.29x + 0.85y > 5 0.85x + 1.29y > 5 0.85x + 1.29y < 5
Mathematics
2 answers:
creativ13 [48]3 years ago
7 0
0.85x + 1.29y < 5.....this is ur inequality
VLD [36.1K]3 years ago
5 0
Hello!

To start, use your given information:
- the amount of grapes bought are unknown, but the cost per pound is $1.29
- the amount of potatoes bought are also unknown and the cost per pound is $0.85
- The total cost of potatoes and grapes was less than $5

Then, you can use the given information to define your variables with respect to the order the objects are listed in:
x represents the amount of potatoes
y represents the amount of grapes

Knowing this, you can take a look at all the answer choices.

The answers would definitely not be the second or third one as it states that the total cost is greater than 5 dollars.

The answer could be the first answer choice, however we have defined our variables with respect to how they were listed in the problem so it would not be the first answer.

Now that you have narrowed down the choices, your final answer would be
0.85x+1.29y<5 (the last answer)
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3 years ago
Inequality Word Problems<br><br> 100 POINTS!!!
Rina8888 [55]

Answer:

1. 4 nights

2. $154

Step-by-step explanation:

1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be <em>no more than</em> 850 because that's Jenna's budget limit. So, we have:

478 + 93n ≤ 850

Subtract 478 from both sides:

93n ≤ 372

Divide by 93:

n ≤ 4

The maximum number of nights is 4 nights.

2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of <em>at least</em> $199. Seeing "at least", we know that we need to use the ≥ sign:

45 + m ≥ 199

Subtract 45 from both sides:

m ≥ 154

Abigail still needs at least $154.

Hope this helps!

3 0
3 years ago
Read 2 more answers
A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.
denpristay [2]

The perimeter of the square is: 20\sqrt2 ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100

Dividing both sides by 2

\frac{2a^2}{2}=\frac{100}{2}\\a^2=50

Taking Square root on both sides

\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft

Now,

P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft

Hence,

The perimeter of the square is: 20\sqrt2 ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

  • brainly.com/question/3306327
  • brainly.com/question/3375830

#learnwithBrainly

5 0
4 years ago
Write y=(-3/4)x+3 in standard form using integers.<br> Please help:D will fan and medal
kaheart [24]
To make all the values integers, that means we need to remove any fractions. The x variable is multiplied by "-3/4." To make it an integer, multiply both sides of the equation by 4. Therefore,  
4y = -3x + 12  
To check your work, you can divide both sides by 4 and see that -3x/4 = (-3/4)x and 12/4 = 3.
3 0
4 years ago
Jonas made the following matrix of temperatures for the first 4 days of January.
valentinak56 [21]

Answer: The correct option is C.

Explanation:

It is given that Jonas made the following matrix of temperatures for the first 4 days of January and for the first 4 days of February.

Let the matrix A and B represents the temperatures for the first 4 days of January and February respectively.

A=\begin{bmatrix}6 & -3 & 3 & -1\end{bmatrix}

B=\begin{bmatrix}1 & -3 & -5 & -6\end{bmatrix}

The difference of January and February is defined by the matrix A-B.

To subtract two matrices, we subtract all the corresponding elements.

A-B=\begin{bmatrix}6-1 & -3+3 & 3+5 & -1+6\end{bmatrix}

A-B=\begin{bmatrix}5 & 0 & 8 & 5\end{bmatrix}

It is the option C.

7 0
4 years ago
Read 2 more answers
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