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3 years ago

13

Each school bus going on the field trip holds 36 students and 4 adults. There are 6 filled buses on the trip. How many people ar

e going on the trip?

2 answers:

likoan [24]3 years ago

6 0

240 people because 40 times 6 =240 that's one big

WARRIOR [948]3 years ago

5 0

240 people are going in the trip

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Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

<em>This point is on the graph</em>

<em></em>

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

<em>This point is not on the graph</em>

<em></em>

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em> $(\frac{4}{8},\frac{2}{8})$ <em></em>

<em></em> $x = \frac{4}{8}$ and<em> </em> $y = \frac{2}{8}$ <em></em>

<em>Substitute </em> $\frac{4}{8}$ <em> for x and </em> $\frac{2}{8}$ <em> for y in </em> $y = \frac{1}{2}x$ <em></em>

<em></em> $\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$ <em></em>

<em></em> $\frac{2}{8} = \frac{1 * 4}{8 * 2}$ <em></em>

<em></em> $\frac{2}{8} = \frac{4}{16}$ <em></em>

<em></em> $\frac{1}{4} = \frac{1}{4}$ <em></em>

<em></em>

<em>This point is on the graph</em>

3 0

3 years ago

PLEASE I NEWD HELP ON THIS

Zarrin [17]

Answer:

5. Inequality form: n ≥ 3

Interval notation: [3, ∞)

6. Inequality form: x < 4

Interval notation: (- ∞, 4)

11. Inequality form: x > 50

Interval notation: (50, ∞)

12. Inequality form: y $\geq$ 8

Interval notation: [8, ∞)

15. Inequality form: z < 8

Interval notation: (- ∞, 8)

16. Inequality form: y $\geq$ 4

Interval notation: [4, ∞)

Step-by-step explanation:

I tried to graph them as best as I could, I hope this helps!

7 0

3 years ago

What is 4 6/8+11 1/3

aivan3 [116]

So 4 6/8= (32/4)+6/8=38/8
11 1/3=(33/3)+1/3=34/3
so 38/8+(34/3)

to add you must get the bottom number equall so

114/24+272/24=386/24=16 1/12

6 0

3 years ago

Read 2 more answers

Evaluate the expression a3 -b/c for a = 3, b = 2 and c = 4. write in simplest form

Scilla [17]

Hello There!

Write out your equation:
$(a^3 - b)/c$
Substitute the values in:
$(3^3 - 2)/4$
Simplify:
$(27 - 2)/4$
$25/4$
Solve:
It is 6.25.

Therefore, your answer is 6 1/4.

Hope This Helps You!
Good Luck :)

- Hannah ❤

6 0

3 years ago

What is six less than seven times a number is equal to -20

Naya [18.7K]

Answer:

7n-6=-20

Step-by-step explanation:

six less than seven times a number

we'll use n as "the number"

six less meaning -6

7 times a number n = 7n

7n-6=-20

7 0

3 years ago