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harina [27]
3 years ago
6

How to chose a reasonable scale and interval to graph each set of data with these numbers - 70, 35, 55, 10, 43, 25, 80 and three

numbers, 4,700; 2,000; 3,400; 1,650; 2,800
Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

For 70, 35, 55, 10, 43, 25, 80

Scale

I small square= 1 unit

For 4,700; 2,000; 3,400; 1,650; 2,800

I small square=100 unit

Step-by-step explanation:

We choose a scale such that all the points can be plotted on the graph.

For 70, 35, 55, 10, 43, 25, 80

the range of data is from 10 to 80

so if we choose I small square= 1 unit, we will be able to plot all the points on the graph.

For 4,700; 2,000; 3,400; 1,650; 2,800

the range of data is from 1600 to 4700

If we choose I small square=100 unit, we will be able to plot all the points on the graph with 1650 plotted in the middle of a small square.

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A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The prem
katrin [286]

Amount of water = 260 gallons

Amount of antifreeze = 60 gallons

Explanation:

let the amount of water = w

amount of water + amount of antifreeze will give 320 gallons of mixture

w + amount of antifreeze = 320

amount of antifreeze = 320 - w ...(1)

The concentration for the antifreeze = 80% = 0.8

The concentration of the mixture = 15% = 0.15

From our question, we are mixing antifreeze with pure water (two different things). In our calculation, we can write the concentration in terms of water or in terms of antifreeze.

Writing the concentration in terms of amount of antifreeze

0.8(amount of antifreeze) + percent of antifreeze (amount of water) = concentraton of the mixture

The mixture contains 15% antifreeze

water contains no antifreeze, percent = 0

0.8(320 - w) + 0(w) = 0.15(amount of mixture)

0.8(320 - w) + 0 = 0.15(320)

256 - 0.8w + 0 = 48

256 - 0.8w = 48

collect like terms:

256 - 48 = 0.8w

208 = 0.8w

divide both sides by 0.8:

208/0.8 = w

w = 260

substitute for w in equation (1)

amount of antifreeze = 320 - 260 = 60

Amount of water = 260 gallons

Amount of antifreeze = 60 gallons

3 0
1 year ago
Ten times the square of a non-zero number is equal to forty times the number
S_A_V [24]
To convey as an algebraic expression simply break down the statements and use any variable to represent the number in the sentence.

10 • x^2 = 40x
10x^2 = 40x
10x^2 - 40x = 0
10(x^2 - 4x) = 0
X(x - 4) = 0

X = 0

X - 4 = 0
X = 4.

Here are two possibilities of what the number can be, but because it is a nonzero number, I believe it would be 4.
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4 years ago
2 Points<br> Select the expression that is equivalent to (x-7).
Vera_Pavlovna [14]
An expression equivalent is the
8 0
3 years ago
The ratio of the measures of the three angles in a triangle is 2:9:4. Find the measures of the angles.
Mariana [72]

Answer:

Step-by-step explanation:

sum of ratio=2+9+4=15

1st angle=2/15×180=24°

2nd angle=9/15×180=108°

3rd angle=4/15×180=48°

8 0
4 years ago
Read 2 more answers
A) 9<br> B) 0 <br> C) Undefined<br> D) 6
Usimov [2.4K]
9 is the answer probably

5 0
3 years ago
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