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3 years ago

11

The mr William two questions please!

1 answer:

melamori03 [73]3 years ago

5 0

well, in short, the students and chaperones are at a 2 : 9 ratio, and we know there are 171 students, how many chaperones then, so long they maintain a 2:9 ratio?

$\bf \cfrac{chaperones}{students}\qquad 2:9\qquad \cfrac{2}{9}\qquad \qquad \cfrac{x}{171}=\cfrac{2}{9}\implies 9x=2(171) \\\\\\ 9x=342\implies x=\cfrac{342}{9}\implies x=38$

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4. (a)(i)Show that log4x=2log16x. (ii)Show that log x=3logb³ x. (iii) Show that log₂x=(1+log₂3)logix.

alexdok [17]

that log4x=2log16x. (ii)Show that log x=3logb³ x. (iii) Show that log₂x=(1+log₂3)logix

3 0

1 year ago

Which number line shows the solution of -4x+ 6> 18?

Cloud [144]

Consider the below figure attached with this question.

Given:

$-4x+6>18$

To find:

The number of line that represents the solution of given inequality.

Solution:

We have,

$-4x+6>18$

Subtracting 6 from both sides, we get

$-4x>18-6$

$-4x>12$

If an inequality is multiplied or divide by a negative number, then the sign of inequality must be change.

Divide both sides by -4.

$x$

$x$

The value of x is less than -3. It means number of the left of -3 are included in the solution set but -3 is not included in the solution set.

So, there is an open circle at x=-3 on the number and an arrow from -3 towards left.

Therefore, the correct option is A.

6 0

2 years ago

If the sum of interior angle is 3780 degree.find the number of sides

timurjin [86]

The sum of the interior angles of a polygon is.

Sum = 180(n-2) where n is the number of sides

Thus 180(n-2) = 3780

n-2=3780/180 =21

⇒ n = 21+2 = 23

number of sides is 23

5 0

2 years ago

Read 2 more answers

Select the graph for the solution of the open sentence. Click until the correct graph appears. 5|x| + 3 < 18

netineya [11]

Answer:

see below

Step-by-step explanation:

5|x| + 3 < 18

Subtract 3 from each side

5|x| + 3-3 < 18-3

5|x| < 15

Divide by 5

5|x| /5 < 15/5

|x| < 3

There are two solutions for an absolute value, one positive and one negative ( the negative flips the inequality)

x <3 and x > -3

5 0

3 years ago

In the figure, TS = 8, SR = 4, and QR = 2, what is the length of PQ?

Sauron [17]

Answer:

d. 22

Step-by-step explanation:

(PQ + QR) × QR = (TS + SR) × SR => two secants intersecting theorem

PQ = ?

QR = 2

TS = 8

SR = 4

Plug in the values

(PQ + 2) × 2 = (8 + 4) × 4

2PQ + 4 = 12 × 4

2PQ + 4 = 48

2PQ + 4 - 4 = 48 - 4

2PQ = 44

2PQ/2 = 44/2

PQ = 22

5 0

3 years ago