The ratio of the number of boys to that of girls in a school is 4:3. If the number of girls in the school is 162, find the number of boys in it. Then find the ratio of the number of girls to the total number of students in the school.​

Answers

Answer 1

Answer:

total number of boys in skool is 216

And

ratio of girls to boys is a 3:4

Step-by-step explanation:

let total no. of boys be X

ACCORDING TO QUESTION

ratio of boys to girls = 4:3

total number of girls = 162

now

4/3=X/162

or, 4×162= 3x

or, 4×162/3= X

hence

X = 216

therefore total number of boys is 216

and

ratio of girls to boys is =162/216

=3/4

=3:4


Related Questions

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
PLS HELP IM TIMED

Answers

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

I need help with this​

Answers

Answer: 13.5 Okay! Here's the method count the legs of the right triangle

The formula we'll use will be

A^2 + B^2 = C^2

In this case we're counting by twos

The base is 11 so we times it by itself =110

The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----

182.25

Then you have got ur answer of 13.5

Step-by-step explanation:

3/4 divided by 1/2 please hurry !!

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

(3/4) / (1/2) = (3/4) * (2/1)

                 = 6/4

                 = 3/2

It is given that,

→ 3/4 ÷ 1/2

We can divide the given values,

→ 3/4 ÷ 1/2

→ 3/4 × 2/1

→ 6/4

→ 3/2 (or) 1.5

Thus, 3/2 (or) 1.5 is the answer.

in this statement underlined the conclusion twice, underlined the hypothesis once, determine the truth value of the statement, and write it inverse converse and contrapositive. two angly of a triangle are equal if it is an isosceles triangle.​

Answers

Answer:

Step-by-step explanation:

Solve the following formula for the specified variable:
C = 1/2 e * p for e​

Answers

Given:

The formula is:

[tex]C=\dfrac{1}{2}e\cdot p[/tex]

To find:

The formula for e.

Solution:

We have,

[tex]C=\dfrac{1}{2}e\cdot p[/tex]

Multiply both sides by 2.

[tex]2C=e\cdot p[/tex]

Divide both sides by p.

[tex]\dfrac{2C}{p}=\dfrac{e\cdot p}{p}[/tex]

[tex]\dfrac{2C}{p}=e[/tex]

Interchange the sides.

[tex]e=\dfrac{2C}{p}[/tex]

Therefore, the required formula for e is [tex]e=\dfrac{2C}{p}[/tex].

How much must you add to -12 to get a number greater than 5? A A number less than -17 B A number less than 7 C A number between 7 and 17 D A number greater than 17

Answers

D. A number greater than 17 :)

It’s like thinking about:

-12+ 12= 0
0+5= 5

12+5=17 and -12+17=5 therefore any number that you add to -12 to be greater than 5 has to be greater than 17 :)

It is known that a
a) add 4 to both sides of the inequality
b) multiply each side of the inequality by 8

PLEASE HELP NEED ASAPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER

Answers

Answer:

the answer is B

Step-by-step explanation:

Multiplying or dividing both sides by a negative number reverses the inequality. This means < changes to >, and vice versa. For example, given that 5 < 8 we can multiply both sides by 6 to obtain 30 < 48 which is still true. −30 > −48, which is a true statement.

when solving inequalities with absolute values When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.

Look at the number 45,962. Write a new
number that has the digit 4 with a value 10 times
greater than the value of the 4 in 45,962. Explain how
you determined your new number.

Answers

I'm not sure about this one..

can someone please help me this is hard

Answers

woah!!!

what's this bro

pls tell me the subject name then I will research

Answer:

subject.............

Step-by-step explanation:

name..................

the polygons in each pair are similar. find the missing side length​

Answers

Answer:

Missing length = 20

Step-by-step explanation:

Ratio is 16/20=4/5

25×4/5=20

Select the correct answer.
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake,
M= log (I/I)
.Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake?

Answers

Answer:

[tex]M = \log(10000)[/tex]

Step-by-step explanation:

Given

[tex]M = \log(\frac{I}{I_o})[/tex]

[tex]I = 10000I_o[/tex] ---- intensity is 10000 times reference earthquake

Required

The resulting equation

We have:

[tex]M = \log(\frac{I}{I_o})[/tex]

Substitute the right values

[tex]M = \log(\frac{10000I_o}{I_o})[/tex]

[tex]M = \log(10000)[/tex]

The equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Since the magnitude of an earthquake on the Richter sscale is M = ㏒(I/I₀) where

I = intensity of eartquake and I₀ = reference earthquake intensity.

Since we require the magnitude when the intensity is 10,000 times the reference intensity, we have that I = 10000I₀.

Magnitude of earthquake

So, substituting these into the equation for M, we have

M = ㏒(I/I₀)

M = ㏒(10000I₀./I₀)

M = ㏒10000

So, the equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Learn more about magnitude of an earthquake here:

https://brainly.com/question/3457285

A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.

Answers

Answer:

d

Step-by-step explanation:

i took the test

Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? ​please give answer in step by step explaination​

Answers

Ravi earns per month=Rs4300Spends=80%

Saving percentage=100-80=20%

Saving amount:-

[tex]\\ \sf\longmapsto 4300\times 20\%[/tex]

[tex]\\ \sf\longmapsto 4300\times \dfrac{20}{100}[/tex]

[tex]\\ \sf\longmapsto 43\times 20[/tex]

[tex]\\ \sf\longmapsto 860[/tex]

saving per year=Saving per month×12

[tex]\\ \sf\longmapsto 12\times 860[/tex]

[tex]\\ \sf\longmapsto Rs10320[/tex]

Step-by-step explanation:

i think this will be help you

Absolute Value Equations

Answers

Answer:

4 is E, 5 is A

Step-by-step explanation:

4) Divide both sides by 5 to get |2x + 1| = 11, then solve for x to get 5 and -6.

5) Add 7 to both sides to get ½|4x - 8| = 10. Multiply both sides by 2 to get |4x - 8| = 20, then solve for x to get 7 and -3.

A motorist travels 90 miles at a rate of 20 miles per hour. If he returns the same distance at a rate of 40 miles per hour, what is the average speed for the entire trip, in miles per hour? (Pls explain throughly with your answer)

Answers

Answer:

80/3

Step-by-step explanation:

same distance is covered at different speed , avg speed= 2ab/a+b

= 2*20*40/60

= 80/3

Answer:

[tex]\frac{80}{3}\text{ mph}[/tex]

Step-by-step explanation:

We can use the formula [tex]d=rt[/tex] (distance  = rate * time) to solve this problem.

If the motorist is travelling 90 miles to and back on a trip, he has travelled [tex]90+90=180[/tex] miles total. This represents [tex]d[/tex] in our formula.

Now we need to find the total time.

On the first trip, it's given that the motorist travels at a rate of 20 mph. Therefore, the time this trip took to travel 90 miles is:

[tex]90=20t,\\t=\frac{90}{20}=\frac{9}{2}=4.5[/tex] hours

On the second trip back, he travels the same distance (90 miles) at a rate of 40 mph. Therefore, the time the trip took is:

[tex]90=40t,\\t=\frac{90}{40}=\frac{9}{4}=2.25[/tex] hours

Therefore, the total time is [tex]4.5+2.25=6.75[/tex] hours.

Now can calculate the average speed of the entire trip:

[tex]180=6.75r,\\r=\frac{180}{6.75}=\frac{180}{\frac{27}{4}}=180\cdot \frac{4}{27}=\boxed{\frac{80}{3}\text{ mph}}[/tex]

PLS HELP!
If f(x)= x+3/4 what is the equation for f–1(x)?

A) f–1(x) = 4(x + 3)


B) f–1(x) = 4x - 3


C) f–1(x) = 4(x - 3)


D) f–1(x) = 4x + 3

Answers

Answer:

f^-1(x) = 4x-3

Step-by-step explanation:

f(x) = (x+3)/4

y = (x+3)/4

Exchange x and y

x = (y+3)/4

Solve for y

4x = y+3

Subtract 3

4x-3 = y

The inverse

f^-1(x) = 4x-3

Question 6 1 pts
How much money can you afford for a loan if you know you are going to pay $80 each month for 19 years if the interest rate is measured at only 3%?

Answers

$125.6

that is the procedure above .

I need this on khan academy.

Answers

9514 1404 393

Answer:

  A.  (1 2/3, 4 2/3)

Step-by-step explanation:

If you graph the equations, you see the lines intersect at the solution point:

  (x, y) = (1 2/3, 4 2/3)

The gradient of a straight line passes through points (6,0) and (0,q) is -3/2. Find the value of q​

Answers

Answer:

Step-by-step explanation:

gradient is essentially the slope of a straight line.  

Use (y2-y1)/(x2-x1):

(q-0)/(0-6) = -3/2

q = 9

Compute [tex]i+i^2+i^3+\cdots+i^{258}+i^{259}[/tex].

Answers

Answer:

-1

Step-by-step explanation:

Note that [tex]i+i^2+i^3+i^4 = i-1-i+1 = 0[/tex], and this means that every 4 terms, the terms cancel to 0. Therefore, by taking modulo 4, we only need to find [tex]i^{257}+i^{258}+i^{259} = i-1-i = -1[/tex] since $i$ has a cycle of 4.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

Alternate terms have a sum of zero:

  i^n +i^(n+2) = (i^n)(1 +i^2) = (i^n)(1 -1) = 0

So, the sum to i^256 is zero, and i^257 +i^259 = 0. The value of the sum is then i^258 = i^(258 mod 4) = i^2 = -1

The given expression evaluates to -1.

simplify the algebraic expression by combining like (or similar) terms.
0.3-0.8x+0.4+0.7x

Answers

Answer:

-0.8+0.7+0.4+0.3=-0.1+0.5

oval (S) and A, B permanent, straight line d

Answers

I think you have not write the whole question

can anyone solve it the picture is given below.
can you solve all this questions​

Answers

Now you can see if I have to go back and get the phone off the screen when you

What are the coordinates A’ after 90 counterclockwise rotation about the origin.

Answers

Answer:

the above is the answer

hope this is helpful

Obtain all other zeros of 2 x power 4 - 6 x cube + 3 X square + 3 x minus 2 if two of its zeros are 1\ square root 2 and -1\square root 2​

Answers

-1/2 and -1, 2√2,-2√2

HELP FAST PLEASE!!!!!! Name the marked angle in 2 different ways.

Answers

Answer:

you forgot to add an image I dont know what angles your talking about

-Ba+9=Q²a solve for a

Answers

Answer:

[tex]a= \frac{9}{B+Q^2}[/tex]

Step-by-step explanation:

Given;

-Ba+9=Q²a

To solve for "a", make "a" the subject of the formula.

First, collect similar terms together;

-Ba - Q²a = -9

multiply through by "-1" to remove the negative sign;

Ba + Q²a = 9

factor out a;

a(B + Q²) = 9

divide both sides of the equation by "(B + Q²) ";

[tex]\frac{a(B+Q^2)}{B+Q^2} = \frac{9}{B+Q^2} \\\\a = \frac{9}{B+Q^2}[/tex]

Therefore, the value of "a" in the given expression is [tex]\frac{9}{B+Q^2}[/tex]

In general, how are the measures of central tendency and variability used to analyze a data distribution

Answers

Answer:

Central tendencies and variability are generally used to represent or describe/summarize a large data set into a single data

Step-by-step explanation:

Central tendency is the measurement used to determine the probability of a set of  variables/dataset to cluster around their mean, mode, and median values.

Central tendencies and variability are generally used to represent or describe/summarize a large random data set into a single data. examples of variabilities are : variance, range and standard deviation.

The expected value of X, E(X) must never be less than zero. True or False.

Answers

Answer:

I think true

Step-by-step explanation:

like and mark brainlist

If ABCDE is reflected over the x-axis and then translated 3 units left, what are
the new coordinates C?

Answers

Answer:

B (-2,2)

Step-by-step explanation:

Point C starts at (1,-2).

Reflect over the x axis: Point C becomes (1,2)

Translate 3 units left: Subtract 3 from x to make Point C (-2,2)

The new coordinates of C is (-2,2).

option (B) is correct.

It is required to find the  new co-ordinate of C.

What is called co ordinate?

Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).

In the given figure ABCDE is reflected over X-axis and then translated 3 units left.

So, Point C starts at (1,-2).

Reflect over the x axis: Point C becomes (1,2).

Finally  Reflect over the x axis: Point C becomes (-2,2).

                                        OR

Translate 3 units left: Subtract 3 from x to make Point C  IS (-2,2).

Thus, the new coordinates of C is (-2,2).

Learn more about the co-ordinates here:

http://brainly.com/question/24237088

#SPJ5

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