Answer:
(a) y=8x-46
(b) 8x-y=46
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
(1 mark)
13.
The time to finish a certain work decreases as the number of worker increases
in number. What kind of proportion is illustrated in the situation?
Answer:
Inverse proportion
Step-by-step explanation:
Inverse proportion: in this type of relation, two quantities proportion such that one decreases and other increases or vice-versa.
So, in the given question when the number of workers increases, time is taken for certain work decreases.
So, Inverse proportion is the correct answer.
simplify the expression
[tex]8p + 10 + - 2p - 1 + 10[/tex]
Answer:
6p+19
Step-by-step explanation:
combine like terms:
8p+10+-2p+-1+10
(8p+-2p)+(10+-1+10)
6p+19
HOPE THIS HELPS!!!!!!:)
Which system of equations represents the matrix shown below?
11
2 -18
0 3 15
-2 4 18
1
x + 2y + Z-8
O A. x+y+3z = 15
x + 2y + 4z = 18
x+2y - z- 8
B. -x +32 - 15
x - 2y + 4z = 18
X+2y- Z=8
O C. -X+ y + 3z = 15
X-2y + 4z = 18
x+2y + z = 8
D. X+37 = 15
x +2y + 4z = 18
Answer:
its b.
Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n
6n − 12 = 144 − 6n
12n = 156
n = 13
m∠z = (144−6n)°
m∠z = (144−6×13)°
m∠z = 66°
Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.
Answer:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
Step-by-step explanation:
[tex]2x - 5 \le -x +12[/tex]
[tex]2x - 5 +5\le -x +12+5[/tex]
[tex]2x\le -x+17[/tex]
[tex]3x \le17[/tex]
[tex]$x \le \frac{17}{3} $[/tex]
We have
[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]
Interval notation:
[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]
Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?
Answer:
I'm pretty sure it's the last one that is incorrect
Step-by-step explanation:
Answer:
The first one - “line segment TA is congruent to line segment DO” is incorrect
Step-by-step explanation:
Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.
5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.
( i ) Find the bonus amount received by each employee.
(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?
(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?
Answer:
a) = Rs 16000
b) = 5%
c) = Rs 30,000,000
10% = 24,000,00/10 = Rs 240,000
20% = 240,000 x 2 = Rs 480,000
480,000/30 = Rs 16000
b) The bonus percentage needs to be increased by 5%
explanation:
Since every worker needs Rs 20000 we need to times it by 30
20000 x 30 = Rs 600,000
600,000 - 480,000 = Rs 120,000
Now we need to find the percentage of Rs 120,000
10% = Rs 240,000
5% = 240,000 divide by 2 = Rs 120,000
This is the best I can do for now please let me know if you understood the answer!
Answer:
1.Rs.16000
2.Bonus rate:25%
3.profit:Rs.3000000
Step-by-step explanation:
Case 1
Profit=Rs.2400000
Bonus Rate:20%
No.of employees =30
Now,
Bonus = (Bonus Rate of Profit) / no. Of employees
= 20% of Rs.2400000 / 30
= Rs. 16000
Case 2
Bonus=Rs.20000
Profit=Rs.2400000
Bonus rate=?
Now,
Bonus=bonus rate of profit / no. Of employees
Or,Rs. 20000 = Bonus rate × Rs. 2400000/30
Or, Rs. 20000=Bonus rate × Rs. 80000
Or,Rs.20000/Rs.80000 = Bonus rate
Bonus rate = 1/4=25%
Case 3
Bonus=Rs.20000
Bonus Rate = 20%
Now,
Bonus = bonus Rate of profit / no.of employees
Or, Rs. 20000 = 20% × Profit / 30
Or, Rs. 20000 × 30 / 0.2 = profit
Profit= Rs. 3000000
I hope it helped you
Write a word phrase that represents x + 5.
Answer:
5 added to a number, x.
Step-by-step explanation:
I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)
Answer:5 added to a number, x
Step-by-step explanation:
A sample of 120 local residents reveals that 8 have a post office box for receiving mail. What is the relative frequency that a local resident does not have a post office box for receiving mail?
[tex]\frac{1}{15}[/tex] or 6.67%
Step-by-step explanation:In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.
Now, the probability P(A) of an event A happening is given by;
P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]
From the question;
The event A is the situation of local residents having a post office box. Therefore the;
number-of-outcomes-in-the-event-A = 8 [since only 8 of the local residents have a post office box]
number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]
Therefore,
P(A) = [tex]\frac{8}{120}[/tex]
P(A) = [tex]\frac{1}{15}[/tex]
The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]
PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:
[tex]\frac{1}{15} * 100%[/tex]% = 6.67%