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4 years ago

15 pts

Mathematics

2 answers:

koban [17]4 years ago

7 0

<span> 2x - 2y = 8
2y = 2x - 8
y = x - 4

answer
</span>slope-intercept form: y = x - 4

Pie4 years ago

5 0

2x - 2y = 8
2x - 2y -2x = 8+ (- 2x)
-2y = (-2x) + 8
(-2y)/-2 = (-2x + 8)/-2
y = x - 4

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Suppose that a computer software company has 30

LekaFEV [45]

Answer: $\dfrac{30!}{6!(24)!}$

Step-by-step explanation:

Given : The total number of programmers in the company = 30

The company wants to select a group of 6 programmers to work on a particular project.

Since the order of selecting them does not matters , therefore we use combinations.

The number of combinations of r things taken from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

here, n= 30 and r= 6

So the number of different ways to form they could select a group of 6 would be $^{30}C_{6}=\dfrac{30!}{6!(30-6)!}$

$=\dfrac{30!}{6!(24)!}\\\\=\dfrac{30\times29\times28\times27\times26\times25\times24!}{(720)24!}=593775$

i.e. Total ways =593775

In terms of factorials , the number of total ways to form they could select a group of 6 is $\dfrac{30!}{6!(24)!}$ .

7 0

3 years ago

A confided aquifer has a piezometric height of 30 feet before being pumped. The well is then pumped at 250 gallons/day for a ver

Karo-lina-s [1.5K]

Answer:

$d_2=-8.32ft$

Step-by-step explanation:

From the question we are told that:

Height of first draw down $h=30$

Pump Discharge $Q=250gallons/day$

Well 1 depth $d_1=10ft$

Transmissivity $\=T 10.0 ft2/day$

Radius $r=0.5$

Well 2 depth $d_2=50ft$

Generally the Thiem's equation for Discharge is mathematically given by

$Q=\frac{2\piT(h_2-h_1)}{ln(\frac{r_2}{r_1})}$

$250=\frac{2*\pi 10 (10-d_2)}{ln(\frac{50}{0.5})}$

$1151.293=2*\pi 10 (10-d_2)$

$d_2=-8.32ft$

8 0

3 years ago

Show that 8/15 plus 3/10 equals 5/6

mariarad [96]

Step-by-step explanation:

find the Lcm of 15 and 10 which is 30

multiply the 2fractions by the LCM

8/15*30=16

3/10*30=9

add the products and put them all over the Lcm

(16+9)/30

=25/30 which is equivalent to 5/6 when you divide both the numerator and the denominator by 5

4 0

2 years ago

In a biscuit tin, there are 10 chocolate and 4 shortbread biscuits. What proportion are, a) Chocolate ?

amid [387]

Answer:

Proportion of chocolate in biscuit tin = 5:7

Step-by-step explanation:

Given:

Number of chocolate in biscuit tin = 10

Number of shortbread biscuits in biscuit tin = 4

Find:

Proportion of chocolate in biscuit tin

Computation:

Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin

Proportion of chocolate in biscuit tin = 10 / [10 + 4]

Proportion of chocolate in biscuit tin = 10 / 14

Proportion of chocolate in biscuit tin = 5:7

5 0

3 years ago

I NEED HELP PLEASE!!

Alexus [3.1K]

Answer:

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Step-by-step explanation:

6f = 10m

/2 /2

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7 0

3 years ago