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3 years ago

A line that passes throught the points (2,-3) and (b,7) is parallel to the line y=-2x+17. find the value of b

Mathematics

1 answer:

mash [69]3 years ago

8 0

Gradient of the line = -2,
using gradient formula, b = -3

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David scored points less than six times the number of points Rich scored in a video game. If represents the number of points sco

UkoKoshka [18]

Answer:

David scored : 24 < 6x = 0

Step-by-step explanation:

From the information given;

David scored ??? points less than six times the number of points Rich scored in a video game.

If ??? represents the number of points scored by Rich

The objective is to write an expression representing the number of points scored by David.

since the value of David points and Rich letter representing the number of points scored by RIch are not given, Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.

Assumption:

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Then; the linear equation representing David score is:

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3 years ago

In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many

Charra [1.4K]

Percentage of yellow leaves on a tree during Autumn = 40%

Percentage of green leaves on a tree during Autumn = 24%

Percentage of half yellow leaves on the tree during Autumn :

$= \tt100 - 40 + 24$

$= \tt 100 - 64$

$= \tt 36 \%$ Thus, the percentage of half yellow leaves on the tree during Autumn = 36%

Number of half yellow leaves on the tree = 36%

Let the total number of leaves on the tree be x.

Which means :

$= \tt36 \% \: of \: x = 72$

$= \tt \frac{36}{100} \times x = 72$

$= \tt \frac{36 \times x}{100} = 72$

$= \tt \frac{36x}{100} = 72$

$= \tt 36x = 72 \times 100$

$= \tt36x = 7200$

$= \tt x = \frac{7200}{36}$

$\color{plum} = \tt \: x = 200$

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

$= \tt40 \% \: \: of \: \: 200$

$= \tt \frac{40}{100} \times 200$

$= \tt \frac{40 \times 200}{100}$

$= \tt \frac{8000}{100}$

$\color{plum} \tt = 80 \: yellow \: \: leaves$

Thus, total number of yellow leaves on the tree = 80

Number of green trees on the tree :

$= \tt24 \% \: \: of \: \: 200$

$= \tt \frac{24}{100} \times 200$

$= \tt \frac{24 \times 200}{100}$

$= \tt \frac{4800}{100}$

$\color{plum} = \tt 48 \: green \: \: leaves$

Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, <em>the total number of leaves on the tree = 200</em>

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ruslelena [56]

Answer:

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