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2 years ago

What is the slope of a line that is parallel to the given line. (1 Point) y = 3x+5

1 answer:

4 0

Slope = 3

Given the equation y = 3x + 5, the slope is 3. The slope of a line parallel to the given line would possess the same slope because they never touch. So the slope would simply be 3 as well.

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A bag contains 5 2/5kg of sand. The bag has a hole in it. Every 10 minutes, 1 2/3kg of sand escapes from the bag. After 20 minut

fenix001 [56]

Quantify of sand in a bag =

$= \: 5 \frac{2}{5} \ \:$

$= \frac{(5 \times 5 +2) }{5}$

$= \frac{27}{5} \: kg$

Quantity of sand that escapes in every 10 minutes :-

$= 1 \frac{2}{3} kg$

Quantity of sand that will escape in 20 minutes :-

$= 1 \frac{2}{3} \times 2$

$= \frac{(3 \times 1 + 2)}{3} \times 2$

$= \frac{5}{3} \times 2$

$= \frac{10}{3}$

Quantity of sand that will remain in the sand bag :-

$= \frac{27}{5} - \frac{10}{3}$

$= \frac{(27 \times 3)}{15} - \frac{(10 \times 5)}{15}$

$= \frac{81}{15} - \frac{50}{15}$

$= \frac{31}{15}$

$= 2 \frac{1}{5} \: kg$

$therefore \: , \: 2 \frac{1}{5} \: kg \: sand \: is \: left \: in \: the \: bag \: .$

3 0

2 years ago

Which best describes the graph of g(x) = 1/9 sq x PICTURE DOWN BELOW

Alexus [3.1K]

Answer:

A) The graph of g(x) is shrunk vertically by a factor of 1/9

Step-by-step explanation:

The given graph g(x) = 1/9√x

f(x) = √x

The altitude of g(x) = 1/9

The altitude of f(X) = 1

When comparing the graph of g(x) with f(x), the graph of g(x) shrunk by 1/9 because of the altitude.

Here with I have attached the graph.

Therefore, answer: A) The graph of g(x) is shrunk vertically by a factor of 1/9

Thank you.

8 0

3 years ago

Twelve less than 5 times a number is greater than or equal to 6 more than twice the number. Each inequality and number line repr

jenyasd209 [6]

Answer: x ≥ 6

Step-by-step explanation:

12 less than 5 times a number ≥ 6 more than twice the number

5x - 12 ≥ 2x + 6

Note: the word "than" switches the order of the terms.

5x - 12 ≥ 2x + 6

-2x +12 -2x +12

3x ≥ 18

÷3 ÷3

x ≥ 6

Graph: 6 -----------→ the dot is closed (filled in) since it is "equal to"

3 0

3 years ago

Solve the system of equations using the linear combination method.

Anit [1.1K]

5p - 3q = -39
- (-2p - 3q = 3)
==> 7p = -42 ==> p = -6

==> p = -6
-2(-6) - 3q = 3 ==> 12 - 3q = 3

==>p = -6
-3q = 3 - 12 ==> -3q = -9

==> p = -6
q = 3

7 0

3 years ago

at the county fair , 12% of the pepole who attended received free water bottels . if 1,500 people receive dfree water bottles ,

sweet-ann [11.9K]

12500 people went to fair

<h3>Solution:</h3>

Given that at the county fair , 12% of the people who attended received free water bottles

1,500 people received free water bottles

To find: number of peoples went to fair

Let "a" be the number of peoples went to fair

From given information,

12% of the people who attended received free water bottles and 1,500 people received free water bottles

Which means 12% of total people is equal to 1500

12% of total people = 1500

12 % of "a" = 1500

$\frac{12}{100} \times a = 1500\\\\a = 1500 \times \frac{100}{12}\\\\a = \frac{150000}{12} = 12500$

Thus 12500 people went to fair

3 0

2 years ago