MATHEMATICS HIGH SCHOOL

An adult’s dinner costs $7. A family of 3 adults and 2 children pays $31 for their dinners.1. How much does a child’s dinner cost?


2. If you were given $48 what combinations of adults and children could you bring to dinner? Provide at least two different examples and show your work.

Answers

Answer 1
Answer:

Answer:

1. 10 dollars for each child

2. a. You could have 2 children and 4 adults.

2. b. I can't figure out another solution.

Sorry. :(((

Hope this helped, tho. :))

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Slope of (1,-2) and (-3,7)​

Answers

Answer:

-4/9

Step-by-step explanation:

Slope formula: y2-y1/x2-x1

7-(-2)/-3-1

9/-4

-4/9

Best of Luck!

The points (8,v) and (7,6) fall on a line with a slope of 10. What is the value of v?

Answers

Answer: v = 16

Step-by-step explanation:

     A slope of ten means that for every +1 increase in the x-coordinate, the y-coordinate increases by +10. Using this information, we can solve for v.

     We will add one to the x-value and add 10 to the y-value.

Given:

    (7, 6), m = 10

Use the slope:

    (7 + 1, 6 + 10) = (8, 16)

Answer:

    v = 16

Timers at a track meet used four different clocks to time an event. Which recorded time is the most precise?31.3 s

31.26 s

31 s

31.256 s

Answers

(d)31.256 is the most precise as it has most significant figures among them.
I would say 31.256s because it has 5 significant digits.

The cost in dollars to produce x cups of lemonade is represented by the function C(x) = 10 + 0.20x. The revenue in dollars earned by selling x cups of lemonade is represented by the function R(x) = 0.50x. What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?

Answers

For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.

What is inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The cost in dollars  C(x) = 10 + 0.20x.

The revenue in dollars, R(x) = 0.50x.

For revenue to outpace cost

R(x) > C(x)

0.50x > 10 + 0.20x

0.50x - 0.20x > 10

0.30x > 10

x > 10/0.30

x > 33.333

Hence, For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.

Learn more about inequality here:

brainly.com/question/28823603

#SPJ2
For revenue to exceed cost: R(x) > C(x)
0.50x > 10 + 0.20x
0.50x - 0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333

Therefore the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost is 34.

Triangle P=27,Q=40,P=33 law of sines round measures to the nearest tenth

Answers

For the law of sines, you would apply it in this particular problem like so:
Since P is 27, its angle is 33 and Q's length is 40; you would set it up like this
40/SinQ = 27/Sin33, multiply 40 with Sin33, then it would be 40Sin33, then divide it by 27. The result should be 40Sin33/27 = X

3. At a bargain store, Spongebob bought 3 items that each cost the same amount. Patrick bought 5 items that each cost the same amount, but each was $1.50 less than the items that Spongebob bought. Both Spongebob and Patrick paid the same amount of money. What was the individual cost of each person's items?

Answers

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

3x= 5(x-1.5)\n\n\Rightarrow\ 3x=5x-1.5*5\n\n\Rightarrow\ 3x=5x-7.5\n\n\Rightarrow\ 5x-2x=7.5\n\n\Rightarrow\ 3x=7.5\n\n\Rightarrow\ x=(7.5)/(3)\n\n\Rightarrow\ x=2.5

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Answer: Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1

Step-by-step explanation:

Let x be the cost of each item bought by Spongebob.

Then, cost of each item bought by Patrick = x- 1.50

Then, cost of 3 items bought by Spongebob =  3x

Cost of 5 items bought by  Patrick = 5(x-1.50)

If both Spongebob and Patrick paid the same amount of money then

Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $2.5-$1.5=$1

Hence, Cost of each item bought by Spongebob = $2.5

Cost of each item bought by Patrick = $1
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