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stealth61 [152]
3 years ago
11

Help please! 10 points!

Mathematics
1 answer:
Zina [86]3 years ago
3 0
Let the number of chairs Gavin build per week is x and number of tables he builds per week is y.

It takes 4 hours to work on a chair and 10 hours to work on a table. So time taken to work on x chairs and y tables will be:

Time=4x+10y

Gavin wants to work for no more than 40 hours. So we can write the inequality as:

4x+10y \leq 40

It takes $10 worth of supplies to build a chair and $15 worth of supplies to build a table. So cost or worth of supplies for x chairs and y tables will be:

Cost=10x+15y

Gavin wants to spend no more than $80 on material. So we can write the inequality as:

10x+15y \leq 80

Thus the system of inequalities is:

4x+10y \leq 40
10x+15y \leq 80

We can observe the possible combinations from the graph of these inequalities, which is shown below:
a) 0 chair and 3 tables
b) 5 chairs and 2 tables
c) 8 chairs and 2 tables 

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Anettt [7]

Answer:

(3x + 5)(9x^2 - 15x + 25)

Step-by-step explanation:

27x^3 + 125

= (3x)^3 + 5^3

= (3x + 5) ((3x)^2 - (3x)(5) + 5^2)

= (3x + 5)(9x^2 - 15x + 25)

FYI: a³ + b³ = (a + b)(a² – ab + b²)

8 0
2 years ago
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Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.
amid [387]

Answer:

Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±\sqrt{61})/2. So, PQ=\frac{\sqrt{61} }{2}, PQ²=\frac{61}{4}. Thus, the answer is 61+4=65.

Step-by-step explanation:

4 0
3 years ago
Solve for w: v = 3p (w -r)​
notka56 [123]

Answer:

Step-by-step explanation:

v=3p(w-r)

v=3pw-3pr

v+3pr=3pw

(v+3pr)/3p=w

7 0
3 years ago
I bought 6 packs of gummy bears. There were 25 gummy bears in each bag and 20% were yellow. Another 10% were white. How many mor
Vinvika [58]

Answer:

15 (I think)

Step-by-step explanation

6 x 25 = 150

20% of 150 = 30

10% of 150 = 15

30 - 15 = 15

<em>Sorry if this is wrong.</em>

<em>Bye, have a great day/night.</em>

3 0
2 years ago
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Anestetic [448]

Answer:

3.113, 4.507

Step-by-step explanation:

From the given values:

Mean = 3.81

Standard deviation = 1.74

Therefore

M = √(1.72/18) = 0.4

μ = M ± t(sM)

μ = 3.81 ± 1.74*0.4

μ = 3.81 ± 0.697

Recall that the mean is estimated at 90% confidence level,

Hence,

= 90% CI [3.113, 4.507]

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