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eimsori [14]
3 years ago
12

A triangle is graphed on a coordinate plane, with a vertex located at a point represented by (x,y).

Mathematics
1 answer:
Sophie [7]3 years ago
4 0
The value of a is between 0 and 1.
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Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
Korvikt [17]

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

6 0
3 years ago
A teacher has a bag of 100 unit cubes.She gives an equal number of cubes to each of the 7 groups in her class.She gives each gro
Arlecino [84]
100 divided by 7 is 14 r 2, so there are 2 left over
3 0
3 years ago
Read 2 more answers
A bag of balloons contains 4 red balloons, 12 green balloons, 14 yellow balloons, and 7 orange balloons. What is the probability
Ostrovityanka [42]
There are 37 balloons total and there are 7 orange balloons. Therefore, the probability is 7/37.
5 0
3 years ago
PLEASE HELP!!!!! I DON'T UNDERSTAND!!
Roman55 [17]

Answer: Pool Size

(in feet) 3.5 ft

Avg Depth 4 ft

Avg Depth 4.5 ft

Avg Depth 5 ft

Avg Depth

12x24 7,600 8,600 9,700 10,800

14x28 10,300 11,800 13,200 14,700

15x30 11,800 13,500 15,200 16,900

16x32 13,400 15,400 17,300 19,200

18x36 17,000 19,400 21,900 24,300

19x38 19,000 21,700 24,400 27,100

20x40 21,000 24,000 27,000 30,000

22x44 25,400 29,000 32,700 36,300

25x45 29,531 33,750 37,968 42,187

25x50 32,800 37,500 42,200 46,900

30x50 39,375 45,000 50,525 56,250

Step-by-step explanation:I made this chart for you so you can know actually how to multiply the width of the pool.

6 0
3 years ago
Peter mixes 4 1/2 cups of orange juice, 2 1/4 of ginger ale and 6 1/3 cups of strawberry lemonade to make some punch. What is th
ruslelena [56]
To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).

We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15

Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.

So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:

4 1/2 (times 6 to both top and bottom) =
4 6/12

2 1/4 (times 3) = 2 3/12

6 1/3 (times 4) = 6 4/12

Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.

Thus, Peter makes a total of 13 1/2 cups.

Hope this made sense! tell me if anything is confusing/incorrect :))
8 0
3 years ago
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