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satela [25.4K]
2 years ago
5

On the trip you and your friends stop for gas and decide to drinks 1.05, and snacks, which are 2.20, if they spend a maximum of

25$ and wish to buy at least 12 items , write a system of inequalities that show the range of drinks and snacks you can buy with 25.00, 2 inequalities are needed, and a data table for each
Mathematics
1 answer:
zysi [14]2 years ago
8 0
To be able to answer this item, we let x be the number of drinks bought. Similarly, we may represent the number of snacks by the variable y. The sum of the number of drinks and snacks bought should not be more than 12. This can be represented through the inequality,

    x + y ≤ 12

Furthermore, the total amount spent would be equal to the sum of the products of the number of the cost of each as represented in the inequality below.

     1.05x + 2.2y ≤ 25
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Answer:

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Edward evaluates the expression 7.2 × 4.9 and gets an answer of 35.28. Is this a reasonable answer? Explain why.
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Yes that is correct
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Diagram shows two perpendicular straight lines,OB and CBD,drawn on a Cartesian plane.
Tems11 [23]

Answer: (a) y = -3x + 10

               \bold{(b)\x=\bigg(\dfrac{10}{3},0\bigg)}  

<u>Step-by-step explanation:</u>

The slope of line CD is perpendicular to line OB, which means they have opposite and reciprocal slopes.

Step 1: Find the slope of OB using the formula: m=\dfrac{y_2-y_1}{x_2-x_1}

(x₁, y₁) = (0, 0) and (x₂, y₂) = (3, 1)

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Step 2: Find the slope of CD (opposite and reciprocal of OB)

m = \dfrac{1}{3}\qquad m_\perp=-\bigg(\dfrac{3}{1}\bigg) = -3

Step 3: Input the perpendicular slope and the slope into the Point-Slope formula: y - y₁ = m(x - x₁)

(x₁, y₁) = (3, 1) because it is the point the line will pass through

y - 1 = -3(x - 3)

y - 1 = -3x + 9      <em>distributed -3 into (x - 3)</em>

y      = -3x + 10    <em>added 1 to both sides</em>

***********************************************************************

The x-intercept of DQ is the same x-intercept as CD.  The x-intercept is when y = 0

y = -3x + 10

0 = -3x + 10

-10 = -3x       subtracted 10 from both sides

\dfrac{10}{3}=x    <em>divided both sides by -3</em>


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2 years ago
What number completes the sequence below? Enter your answer in the input
Dmitrij [34]

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32.54 = 4.313805 + 0.3012446(x)
Ghella [55]

32.54=4.313805+0.3012446(x)

x=

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