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-BARSIC- [3]
3 years ago
14

HELP QUICK PLS!

Mathematics
2 answers:
Andrews [41]3 years ago
8 0

Answer:

I would say the anwer is C

Step-by-step explanation:

RoseWind [281]3 years ago
6 0
C), cause you would subtract 5 from 53 in order to move it, and would get 6x=48. Then, you would divide by six on both sides, and the answer would be x=8, so Number C.
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Analyse the table of values. The variable, T, represents the quantity (L) of gas in a tank and the variable, d, represents the d
Deffense [45]

Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

a) d is on the x axis and T is on the y axis, the rate of change is gotten using the points (0, 75) and (300, 37.5). Hence the rate of change (m) is:

m=\frac{y_2-y_1}{x_2-x_1} =\frac{37.5-75}{300-0} =-0.125

b) The rate of change means that the quantity of gas in tank decreases by 0.125 for every km traveled.

c) The graph was plotted using geogebra online graphing tool.

d) Using the points (0, 75) and (300, 37.5), the equation of the line is:

T-T_1=\frac{T_2-T_1}{d_2-d_1}(x-x_1) \\\\T-75=\frac{37.5-75}{300-0}(d-0)\\\\T=-0.125d+75

The tank is empty when T = 0, hence:

0 = -0.125d + 75

0.125d = 75

d = 600 km

The tank is empty at 600 km

5 0
3 years ago
Help plz for the million time
Pavlova-9 [17]
The formula for volume is:
V= a^3  Basically edge times edge times edge
V= 4(4)(4) The edge is 4.
V= 64 in.
8 0
3 years ago
the dude lengths of a triangle are given by the expressions 2x, 4x-2, and 3x-1. write and simplify a linear expression for the p
Arte-miy333 [17]

Answer:

I can relate to "dude lengths"

Step-by-step explanation: Add all the side lengths to total the perimeter:

P= 2x+4x-2+3x-1

Simplify by combining like terms:

P= 9x -3

If you were given a value for P or x you could solve the equation

7 0
3 years ago
There are 14 juniors and 16 seniors in a chess club. a) From the 30 members, how many ways are there to arrange 5 members of the
LiRa [457]

Answer:

No. of juniors = 14

No. of seniors = 16

Total students = 30

A) From the 30 members, how many ways are there to arrange 5 members of the club in a line?

Since we are asked about arrangement so we will use permutation

Formula : ^nP_r=\frac{n!}{(n-r)!}

n = 30

r = 5

^{30}P_5=\frac{30!}{(30-5)!}

^{30}P_5=17100720

So, From the 30 members, there are 17100720 ways to arrange 5 members of the club in a line?

B) How many ways are there to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line?

Out of 16 seniors 2 will be selected

So, 3 places are vacant

Remaining students = 30-2 = 28

So, out of 28 students 3 students will be selected

No. of ways = ^{16}P_2 \times ^{28}P_3

No. of ways = \frac{16!}{(16-2)!}\times\frac{28!}{(28-3)!}

                   = 4717440

There are 4717440 ways to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line.

C)If the club sends 2 juniors and 2 seniors to the tournament, how many possible groupings are there?

Since we are not asked about arrangement so we will use combination

Out of 16 seniors 2 will be selected

Out of 14 juniors 2 will be selected

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

So, No. of possible groupings = ^{16}C_2 \times ^{14}C_2

                                                  = \frac{16!}{2!(16-2)!} \times \frac{14!}{2!(14-2)!}

                                                  = 10920

If the club sends 2 juniors and 2 seniors to the tournament, there are 10920 possible groupings

D) If the club sends either 4 juniors or 4 seniors, how many possible groupings are there?

Out of 16 seniors 4 will be selected

or

Out of 14 juniors 4 will be selected

So, No. of possible groupings = ^{16}C_4 + ^{14}C_4

                                                  = \frac{16!}{4!(16-4)!} + \frac{14!}{4!(14-4)!}

                                                  = 2821

So,If the club sends either 4 juniors or 4 seniors, there are 2821 possible groupings .

4 0
3 years ago
What is 75% of 63.4
Ilia_Sergeevich [38]
=47.55

Divide 63.4 by 100 and multiply by 75 (works with any percentage)
6 0
3 years ago
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