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anyanavicka [17]
3 years ago
7

A is the point with coordinates (1,4) b is the point with coordinates (7,22) Find the gradient AB

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

Answer:

The gradient AB is 3

Step-by-step explanation:

Here. we want to find the gradient AB

This is the same as finding the slope of the line that connects the two points

mathematically. we have this as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (1,4)

(x2,y2) = (7,22)

m = (22-4)/(7-1) = 18/6 = 3

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3 years ago
HELP. Georgina wants to make a 42% citric acid solution. If she has 0.5 liters of water, how many liters of a 49% citric acid so
Alika [10]

Answer:

Georgina should add 3 liters of 49% citric acid solution.

Step-by-step explanation:

let x be the liters of 49% solution that Georgina should add. Then after she has added 0.5 liters of water, the total liters of solution she has will be

x+0.5

and 42% of this should be the solute:

0.42(x+0.5)

and since adding water does not add any solvent, this amount must come from the 49% citric acid solution; therefore

0.42(x+0.5)=0.49x

Solving for x we get:

\boxed{x= 3\:liters}

This the amount of 49% citric acid solution Georgina must add.

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3 years ago
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hichkok12 [17]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Can someone lend me a hand pleeeeeeeaaaaseeee :D
MrRissso [65]

Answer:

2x^2 +11

Step-by-step explanation:

f(x) = 3x^2 +2

g(x) = x^2 -9

f(x) - g(x) = 3x^2 +2 - (x^2 -9)

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5 0
3 years ago
Read 2 more answers
Stephanie took a science exam that had two parts.
patriot [66]

Answer:

44 questions

Step-by-step explanation:

Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions.

Let x = total number of questions in part 1

4/5x = 16

Divide both sides by 4/5

x = 16 ÷ 4/5

= 16 × 5/4

= 20

x = 20

There are 20 questions in part 1

She got 16 questions correct, which was 2/3 of the number of part 2 questions.

Let y = number of questions in part 2

2/3y = 16

Divide both sides by 2/3

y = 16 ÷ 2/3

= 16 × 3/2

= 24

y = 24

There are 24 questions in part 2

The total number of questions on Stephanie’s exam = part 1 + part 2

= 20 + 24

= 44 questions

8 0
3 years ago
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