99 boys and 1 girl are in a lecture theatre. how many boys must leave the theatre so that the percentage of boys becomes 98%?​

Answers

Answer 1

99 boys and 1 girl makes 99 percent of boys. To make it 98%, 50 boys must leave the theatre, so there are 49 boys and 1 girl, making 98% of boys.


Related Questions

Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?

Answers

Answer:

Point A

Step-by-step explanation:

The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.

Answer:

A

Step-by-step explanation:

which number produces a rational number when added to 0.25

Answers

0.65 is the correct one if not up there try 0.45 other possible one

Step-by-step explanation:

A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.

Dan invests £13000 into his bank account. He receives 4.7% per year simple interest. How much will Dan have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Step-by-step explanation:

SI = PxTxR/100

SI= (13000)(6)(4.7)/100

SI = 366600/100

SI= 3666

PLEASE HELP ME im so lost on this

Answers

Answer:

Step-by-step explanation:

What is the 10th term of the geometric sequence a(n)=-3(2)^(x-1_())

Answers

[tex]\displaystyle\ a(n)=-3(2)^ {n-1}\Longrightarrow a(10)=-3(2)^{10-1}=2^9\cdot -3=\boxed{-1536}[/tex]

find missing side of triangle. help

Answers

Answer:

+ 2² =(15)²

+ 4. =15

=15-4

=11

x. =11 mi

so the answer is 4th option

If < W and < Y are supplementary, and < W = 121 °, then what would < Y measure?

Select one:
a. 121 °
b. 69 °
c. 59 °
d. 13 °

Answers

Answer:

Option c. 59°

Step-by-step explanation:

<W+<Y=180

121+<Y=180

<Y=180-121

<Y=59

Answered by GAUTHMATH

This pattern follows the rule add 14. What other features do you observe?

13, 27, 41, 55

All terms are even because even + even = even.
All terms are even because odd + odd = even.
All terms are odd because odd + even = odd.
All terms are even because when you add two numbers together, the sums are always even.

Answers

But you’re adding 13 +14= 27 so you’re adding even and odd and all the another’s are odd so it’s going to odd

How many triangles are there in the picture?
Clue, there are more than 30.

Answers

Answer:

36?

Step-by-step explanation:

Answer:

42 Triangles

Step-by-step explanation:

Count all the triangles one by one and determine the # of triangles.

The function g(x) is a transformation of the cube root parent function,

Answers

Answer:

I believe that the answer is B as well

Step-by-step explanation:

This might be for Ap3x but not 100% sure

What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves​

Answers

Answer:

B. Selling treasury securities

Step-by-step explanation:

I'm taking the quiz

The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.

What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.

Therefore, the correct answer exists as option B. Selling treasury securities.

To learn more about Federal Reserve refer to:

https://brainly.com/question/382312

#SPJ2

Let f be defined as shown. What is f^-1(-3)

Answers

Hello,

[tex]f^{-1}(-3)=-1\\[/tex]

You have just to read the arrows un reversed order:

in f we find (-1,-3)  so in f^{-1} we find (-1,-3)^{-1}=(-3,-1)

The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.

Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.

Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.

Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.

Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.

Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

Answers

Step-by-step explanation:Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.

WRITE THE FUNCTION FOR THE GIVEN TABLE PLS

Answers

Answer:

y=X²-4x+5

Step-by-step explanation:

substitute all the left side values to get the outputs..

y=(5)²-4(5)+5 =10

Answer:

A

Step-by-step explanation:

In fact, if we try to substitute, we have:

10 = 5^2 -4(5) +5

10 = 25 - 20 + 5

10 = 10 (ok)

17 = -2^2 - 4(-2) + 5

17 = 4 + 8 + 5

17 = 17 (ok)

and so on

What is the slope of the line shown below?

Answers

a. negative one over six

Answer:

Hello there,

The correct answer to this question would be D 1/6

Step-by-step explanation:

I had took the test and it said it was correct.

Anyways hope this helps

if the answer is correct pls mark Brainliest

thank you, have a nice day

Which set of numbers includes only integers?

a.)Negative 5, negative 3 and one-fourth, 1, one-eighth
b.)Negative 3, negative 2, 2, 3
c.)Negative 6, negative 4, negative 2, negative one-half
d.)One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0

Answers

Answer:

a

Step-by-step explanation:

in integer there will negative ,positive or rational number

At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?

Answers

Answer:

The smaller angle will be "156°".

Step-by-step explanation:

According to the question,

Before 12, the minute hand at 48 minutes:

= [tex]60-48[/tex]

= [tex]12[/tex] (minutes to 12)

So,

= [tex]12 \ minutes+14 \ minutes[/tex]

= [tex]26 \ minutes[/tex]

hence,

The smaller angle will be:

= [tex]26\times 6^{\circ} \ each[/tex]

= [tex]156^{\circ}[/tex]

Answer:

The angle is 204 degree.

Step-by-step explanation:

The angle turned by minute hand in 1 minute is 6 degree

The angle turned by the hour hand in 1 hour is

For the hour hand :

The angle turned in 1 hour = 360/12 = 30degree

At 2 : 00 , the angle covered = 30 x 2 = 60 degree

In each minute the hour hand moves  = 30 degrees / hour  x  1 hour/60 min  

                              = 1/2 degree  

So at 2: 48   the hour hand is at    2*30  + 48 * 1/2 = 84 degrees

For the minute hand:

In each minute it turns = 6 degrees  

So, at 48 minutes the minute hand is at   48 x 6 = 288 degrees

So, the angle between them is 288 - 84 = 204 degrees  

The entry for a science exhibition is $5 for students and four dollars more than the students for adults. On a particular day, 600 people visited the exhibition and $3500 was collected. How many students and adults visited on that day?

Answers

Answer:

475 students, 125 adults

Step-by-step explanation:

x + y= 600......equation 1

5x +9y= 3500.......equation 2

From equation 1

x +y = 600

x= 600-y

Substitute 600-y for x in equation 2

5(600-y) +9y= 3500

3000-5y+9y= 3500

3000+4y= 3500

4y= 3500-3000

4y= 500

y= 500/4

y= 125

Substitute 125 for y in equation 1

x + y= 600

x + 125= 600

x = 600-125

x= 475

Hence there are 475 students and 125 adults

Which of the following represents the general form of an inequality?
Ax + By 2 C
Ax + By >
Ax + By < 0
All of the choices

Answers

Answer:

Third option:

Ax + By < 0

Step-by-step explanation:

The general form of an inequality is:

(something)  (symbol)  (another thing).

Where the symbols can be:

> = "larger than"

< = "smaller than"

≤ = "smaller than or equal to"

≥ = "larger than or equal to"

So, a given inequality can be:

K > M

This means that K is larger than M.

From the given options, the only one that has this general form is the third option:

Ax + By < 0

This can be read as:

"A times x, plus B times y, is smaller than zero"

ABC is a triangle. Work out angle x

Answers

Answer:

I think it is 52 degrease

Step-by-step explanation:

I’m not sure but I think 52

please help me !!!!!!!

Answers

Answer:

(32;29) first thing is to find the gradient of that line and form some extra equation ( bodzatu ili

3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10

Answers

Answer:

The answer is

[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]

the answer to the question above is D)10

4a+b+16a^2-b^2 how to factorize this​ can u plz solve it​

Answers

Answer:

(4a+b)(1+4a-b)

Step-by-step explanation:

4a+b+16a²-b²4a+b+(4a)²-(b)²4a+b+(4a+b)(4a-b)(4a+b)(1+4a-b)

hope it helps

stay safe healthy and happy.

Answer:

(4a + b)( 1 + 4a - b )

Step-by-step explanation:

4a + b + 16a² - b²

Step 1 :- Use a² - b² = ( a - b ) ( a + b ) to factor the expression.

4a + b + ( 4a - b ) ( 4a + b ).

Step 2 :- Factor out 4a + b from the expression.

(4a + b)( 1 + 4a - b )

need help please thanks

Answers

Answer:

C

Step-by-step explanation:

All angles in a triangle add up to 180°.

63 + 52 = 115°.

180 - 115 = 65°, so part of the answer is done, y = 65°.

The angle next to y is a vertical angle.

61 + 65 = 126°.

180 - 126 = 54°.

So, x = 54°, y = 65°.

plz help me with this math and also explain

Answers

Step-by-step explanation:

[1]

SI = $250Rate (R) = 12[tex] \sf \dfrac{1}{2}[/tex] %Time (t) = 4 years

[tex]\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 \times 100 = P \times 50} \\ [/tex]

[tex]\longrightarrow \tt { 25000 = P \times 50} \\ [/tex]

[tex]\longrightarrow \tt { \dfrac{25000}{50} = P } \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\ [/tex]

Therefore principal is $500.

__________________

[2]

2/7 of the balls are red.3/5 of the balls are blue.Rest are yellow.Number of yellow balls = 36

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

[tex]\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\ [/tex]

[tex]\longrightarrow \tt{ 31x + 1260= 35x} \\ [/tex]

[tex]\longrightarrow \tt{ 1260= 35x-31x} \\ [/tex]

[tex]\longrightarrow \tt{ 1260= 4x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\ [/tex]

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\ [/tex]

[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\ [/tex]

[tex]\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\ [/tex]

I need help please!!!

Answers

Answer:

40 degrees

Step-by-step explanation:

Three friends went to a book shop the first bought three bros and four pencils for $30.00. The second bought two Bros and five pencils for $27.00 . If the third bought a bro and a pencil only how much did they pay .​

Answers

Answer:

total 66$

Step-by-step explanation:

let price of bro s be x and pencil be y

according to Qn

at 1 cond

3x+4=30____(1)

2x+5y=27____(2)

solve botth and get value of each bros and pencil and then at last add,30$,27$,6$,3$

−5y+3x=3
−8y+9x=−12

What is X and Y please.

Answers

Answer:

( -4, -3 )

Step-by-step explanation:

Let's solve by elimination. Reason being there are no variables without coefficients.

−5y+3x=3     Multiply equation by 3. Each term.  

−8y+9x=−12

-15y + 9x = 9       Subtract the to equations

-8y  + 9x = -12

___________

-7y = 21

y = -3

Substitute y into original equation

-5(-3) + 3x = 3

15 + 3x = 3            Subtract 15 both sides

3x = -12                 Divide by 3, both sides

x = -4

Answer:

y=-3

x=-4

Check:

-5(-3)+3(-4) =3

15-12=3

3=3 ✅

-8(-3)+9(-4)=-12

24-36=-12

-12=-12✅

A client has two refrigerators, one in the kitchen and one in the basement.The former is new and efficient. The latter is 30 years old and uses 120Kwh/month. If this client pays 0.15/kwh

Answers

Incomplete question: we assume figures to explain further

Answer and explanation:

Given that client pays $0.15/kwh

If old fridge is inefficient and consumes 120kwh/month

And new fridge is efficient and therefore consumes 50kwh/month

For the old fridge, client will be paying

120×0.15= $18 per month on electricity charges

For the new fridge, client will be paying

50×0.15= $7.5 per month on electricity charges

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

Solution given:

Relationship base and hypotenuse is given by Cos angle

Now

Cos 60°=adjacent/hypotenuse=x/12

1/2=x/12

x=12/2

x=6

the value of x is 6.

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