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zalisa [80]
2 years ago
11

There are 45 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave

their speeches. How many students still haven't given their speeches?​
Mathematics
1 answer:
viva [34]2 years ago
7 0
1/3 of 45 is 15, meaning 15 students gave their speech on day 1

Today 2/5 of the remaining students gave their speech. That’s 12 more

So a total of 27 students gave their speeches. That means 18 students remain. The answer is 18
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32. A data set is normally distributed
KiRa [710]

Answer:

93.1%

Step-by-step explanation:

7 0
2 years ago
Length of the median CP
ehidna [41]

Given:

ΔABC \sim ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}

$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}

Do cross multiplication.

$\Rightarrow 12(2x+8)=16(3x-12)

$\Rightarrow 24x+96=48x-192

Add 192 on both sides.

$\Rightarrow 24x+96+192=48x-192+192

$\Rightarrow 24x+288=48x

Subtract 24x from both sides.

$\Rightarrow 24x+288- 24x=48x- 24x

$\Rightarrow 288=24x

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

7 0
3 years ago
Plz help i need helppppppp
Goshia [24]

Answer:

1) 36

b) 5

c) 3.0

Step-by-step explanation:

1) The recursive formula that defines the given sequence is

a_1=12 \\  a_n=a_{n-1}+4.

That means we keep adding 4 to the subsequent terms:

The sequence will be:

12,16,20,24,28,32,36,...

Therefore the seventh term is 36.

2) The sequence is recursively defined by;

a_1=20\\  a_n=a_{n-1} - 5

This means, we have to keep subtracting 5 from the subsequent terms.

The sequence will be;

20,15,10,5,...

Therefore the fourth term is 5

3) The sequence is recursively defined by:

f(n+1)=f(n)+0.5

where f(1)=-1.5

This means that, the subsequent terms can be found by adding 0.5 to the previous terms.

The sequence will be:

-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....

Therefore f(10)=3.0

8 0
3 years ago
M<3 is (3x + 4) and m<5 is (2x +11)
butalik [34]

Answer:

Part 1) Option C. Same side interior angles

Part 2) Option A. (3x+4)+(2x+11)=180\°

Part 3) Option B. m

Step-by-step explanation:

Part 1) we know that

If p and q are parallel

then

m<3 and m<5 are consecutive interior angles or Same side interior angles

and

m

Part 2) we know that

m -----> by consecutive interior angles (supplementary angles)

we have that

m

m

so

substitute

(3x+4)+(2x+11)=180\°

Part 3) Find the measure of angle 5

we know that

(3x+4)+(2x+11)=180\°

Solve for x

5x+15\°=180\°

5x=180\°-15\°

x=165\°/5\°=33\°

m

substitute the value of x

m

8 0
3 years ago
Read 2 more answers
What are the solutions to 2(x-6)2 = 50 ?
yuradex [85]

Answer:

2(x-6)=50

x-6=50/2

x-6=25

x=31

4 0
2 years ago
Read 2 more answers
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