23.
The ratio of the number of boys to the number of girls in a hall was
3:2 at first. After 30 boys left the hall, the ratio became 2 : 3. How
many boys were there in the hall at first ?

Answers

Answer 1

72 boys.

Step-by-step explanation:

no. of boys (initial) : no. of girls : no. of boys (final)

3 : 2

3 : 2

______________________________________

9 : 6 : 4

9u - 4u = 5u = 30

5u = 30

1u = 30/5 = 8

9u (initial no. of boys) = 8×9

= 72


Related Questions

You are gifted a laptop upon your graduation that cost $3200. The laptop depreciates at a rate of 18% per year. After your second year of college you want to sell the laptop. How much can you reasonably sell it for?

Answers

Answer:

first off you were gifted a cruddy cheap  laptop that was "free"

yo can  sell it for around 900$ at a pawn shop and that high balling the price

A new Community Wellness Complex is being built in Hadleyville. The perimeter of the rectangular playing field is 492 yards. The length of the field is 9 yards less than
quadruple the width What are the dimensions of the playing field?
The width is yards
The length is yards

Answers

Answer:

width: 51 yardslength: 195 yards

Step-by-step explanation:

Let w represent the width of the field in yards. Then 4w-9 is the length. The perimeter is given by the formula ...

  P = 2(L+W)

Substituting given values, we have ...

  492 = 2((4w-9) +w)

  246 = 5w -9 . . . . . . . divide by 2

  255 = 5w . . . . . . . . add 9

  51 = w . . . . . . . . . divide by 5

  4w -9 = 4(51) -9 = 195 . . . . the length of the field

The width is 51 yards.

The length is 195 yards.

HEY U OVER THERE! WANT SOME POINTS ANSWER THIS FOR 35!!!!!!
The sum of six consecutive even integers is 294. What is the smallest of the six integers?

Answers

Answer:

44

Step-by-step explanation:

x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 294
Combine all like terms for x and integers
6x + 30 = 294

Minus 30 on both sides
6x = 264
Divide by 6
x = 44

Answer:

44

Step-by-step explanation:

Let's name the 6 consecutive terms as

x, x + 2, x + 4, x + 6, x + 8 + x + 10

We know that:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 294

Solution:

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 294=> 6x + 30 = 294=> 6x = 294 - 30=> 6x = 264=> x = 264/6=> x = 44

Hence, the smallest number among the six consecutive numbers is 44.

100 points!!
A.What does tangent mean? Select all that apply.

a straight line or segment that touches a curve at a point 90 degrees to the radius of the circle it touches

to touch

the tangent of an angle is the comparison of the opposite side to the adjacent side when a right triangle is given

a straight line or segment that touches a curve and matches the curve's slope at that point

Answers

Answer:

A) a straight line or segment that touches a curve at a point 90 degrees to the radius of the circle it touches.

D) a straight line or segment that touches a curve and matches the curve's slope at that point

Step-by-step explanation:

tan(x) = opposite/adjacentA tangent is a straight line that touches the edge of a curve or circle at one point, but does not cross it. The slope of a curve at a point is equal to the slope of the straight line that is tangent to the curve at that point.

Hannah walked 0.75 of a mile between 7:35 am and 7:47 am. At what speed, in miles per hour, did she walk during this time interval?

State one assumption that had to determine Hannah's speed.​

Answers

0.75 miles in 12 minutes

0.75 * 5 miles in one hour

15 / 4 miles in an hour

she walked at 3.75 mph

this assumes she walks at the same pace for the whole time

please give brainliest

write -4(7+ (-1)) as an equivalent expression.

Answers

Answer:

4(-7+ (1))

Step-by-step explanation:

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Answers

1, 3, 5, did the test once and got 100% HOPED I HELP :)

1 , 3 ,5 i also did this test before and i got it right

Find the value of x.

a:26
b:13
c:60
d 13√3

Answers

Answer:

B 13

Step-by-step explanation:

it is an equilateral triangle  the degree inside is all 60 so that mean that the side are all the same to

see a triangle has a total of 180 degrees.it already listed 120 degrees so 180-120=60

so since all the degree are all the same number it has to be an equilateral triangle.

Find the value of the variable in the parallelogram.

Answers

Answer:

i have the answer

Step-by-step explanation:

Zacharias is using the quadratic formula to solve the equation 0 = –2x2 + 5x – 3. He begins by substituting as shown.

Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Substitution:
What error did Zacharias make?

The –5 should be 5.
The 52 should be –52.
The 2 in the numerator should be –2.
The 2 in the denominator should be –2.

Answers

Answer: C.

Step-by-step explanation:

The 2 in the numerator should be –2.

In the queston given, we have a quadratic equation which we are asked to solve only with quadratic formula. The solution of the equation are 1 and 3/2

Data;

a = -2b = 5c = -3

What is Quadratic formula?

Quadratic formula is used to solve quadratic equations and it is given as

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

Let's substitute the values and solve the quadratic equation.

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\x = \frac{-5 +- \sqrt{5^2 - 4*(-2)*(-3)} }{2*(-2)} \\x = \frac{-5+-\sqrt{25-24} }{-4} \\x = \frac{-5+- \sqrt{1} }{-4} \\x = \frac{-5+1}{-4} \\x= \frac{-4}{-4} = 1\\or\\x = \frac{-5-1}{-4} \\x = \frac{3}{2}[/tex]

From the calculations above, the solutions to this equation are 1 or 3/2

Learn more on quadratic formula here;

https://brainly.com/question/8649555

2 1/2 divided by 1/2

Answers

Answer:

try 5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

convert the mixed numbers to fractions:

2 1/2 = 5/2

divide the fractions that are equivalent to multiplication by the reciprocal of the second fraction:

5/2 ÷ 1/2 would = 5/2 x 2/1

once rearranged, multiply all of the numerators by each other. do the same with the denominators and form a new fraction with these values:

5x2 = 10

2x1 = 2

--

10/2

the GCF of 10 and 2 is 2. the result can be simplified by dividing both the numerator and denominator by 2

10÷2=5

OR, in simpler, picture above :)

Which expression is equivalent to x+7+8x?

Answers

Please provide the multiple choice options in the "ask about this question" section directly below your original question.  

Answer:

x=7

Step-y-step explanation:

8X

QUESTION ON PIC‼️❓THX

Answers

Answer:

78.54 ft^2

Step-by-step explanation:

The area of a circle is pi*r^2

R is the radius, which is half the diameter, so 5.

5^2 is 25, and that times pi is about 78. 54. Because this is feet and area is squared, our unit is ft^2

Hope this helps!

Help please!!!!!!!!!

Answers

Number two:two thirds equals eight twelfths

Number six:ten fifthteenths or two thirds

write (1,4) and(-1,1) in standard form, slope intercept form, and point slope form

Answers

Answer:

See below

Step-by-step explanation:

Standard form:

ax + by = c

Slope intercept form:

y = mx + b

Point slope form:

y - y₁ = m(x - x₁)

Use the given points and find the slope:

m = (y₂ - y₁) / (x₂ - x₁)m = (1 - 4) / (- 1 - 1) = - 3/ - 2 = 3/2 = 1.5

Point-slope form:

y - 4 = 1.5(x - 1)

Convert this to slope-intercept form:

y - 4 = 1.5(x - 1)y = 4 + 1.5(x - 1)y = 4 + 1.5x - 1.5y = 1.5x + 2.5

Convert this into standard form:

y = 1.5x + 2.52y = 3x + 53x - 2y = - 5
(1,4)(-1,1)

[tex]\\ \tt\longmapsto m=\dfrac{1-4}{-1-1}=\dfrac{-3}{2}[/tex]

Equation in point slope form

[tex]\\ \tt\longmapsto y-4=-3/2(x-1)[/tex]

[tex]\\ \tt\longmapsto 2y-8=-3x+3[/tex]

[tex]\\ \tt\longmapsto 3x+2y-11=0[/tex]

Standard form

3x+2y=11

Slope intercept form

y=-3/2x+11/3

To help their patients, psychologists seek to control them, that is, to make the
patient conform to behavioral standards set up by the psychologist.


true or false ?

Answers

Answer: true

Step-by-step explanation:

15 is 60% of what number?

please hurry !

Answers

Answer:

15 is 60% of 25

Step-by-step explanation:

Hope it helps and have a great day! =D

~sunshine~

can anyone do this pls

Answers

Answer:

3.36 pints of white paint

Step-by-step explanation:

3y - 2x = 9 slope intercept form

Answers

Answer:

[tex]y=\frac{2}{3}x+3[/tex]

Step-by-step explanation:

[tex]3y-2x=9\\\\3y=2x+9\\\\y=\frac{2}{3}x+3[/tex]

The length of a rectangle is 4yd longer than its width. If the perimeter of the rectangle is 72yd, find its length and width.

Answers

The value of length and width of the rectangle is L = 28.8 yd , W = 7.2 yd

In the above question, it is given that

Let the length be L and width be W of the given Rectangle

The length of a rectangle is 4yd longer than its width

We can write it in mathematical equation as,

L = 4W  ......eqn 1

Also, it is given that, the perimeter of the rectangle is = 72yd

And, we know that, the perimeter of rectangle = 2(L+ W)

72 = 2(L + W)

Putting value of eqn 1 in the above equation, we will get,

72 = 2( 4W + W)

36 = 5W

W = 7.2 yd

Putting the value of W = 7.2yd in eqn 1 we get,

L = 4( 7.2)

L = 28.8 yd

Hence, the value of length and width of the rectangle is L = 28.8 yd , W = 7.2 yd

To learn more about, rectangle here,

https://brainly.com/question/15019502

#SPJ1

how do I solve
graph y=In(x)

Answers

Answer:

replace the value of x but x cannot be 0 or a negative number

Step-by-step explanation:

for example:

replace x with 1===> y will be =0 cuz ln(1) = 0

replace x with 2==> y will be = 0.7 cuz ln(2)= 0.7

replace x with 3==> y will be = 1.1 cuz ln(3)= 1.1

replace x with 4==> y will be =  1.4 cuz ln(4)= 1.4

but the graph of ln(x) is famous

check it on the web

Consider in the figure below.
The perpendicular bisectors of its sides are , , and . They meet at a single point .
(In other words, is the circumcenter of .)
Suppose , , and .
Find , , and .
Note that the figure is not drawn to scale.

Answers

Let's solve

in ∆GNK

GN=130GJ=94GK=GJ/2=47

Apply pythagorean theorem

[tex]\\ \sf\longmapsto NK^2=GN^2-GK^2=130^2-47^2=16900-2209=14691[/tex]

[tex]\\ \sf\longmapsto NK=\sqrt{14691}[/tex]

[tex]\\ \sf\longmapsto NK=121(Approx)[/tex]

If you observe the traingle

GN=NJ=130

[tex]\\ \sf\longmapsto LJ^2=JN^2-LN^2[/tex]

[tex]\\ \sf\longmapsto LJ^2=130^2-78^2[/tex]

[tex]\\ \sf\longmapsto LJ^2=16900-6084[/tex]

[tex]\\ \sf\longmapsto LJ^2=10816[/tex]

[tex]\\ \sf\longmapsto LJ=\sqrt{10816}[/tex]

[tex]\\ \sf\longmapsto LJ=104[/tex]

LH=LJ =104

So

in ∆HNL

[tex]\\ \sf\longmapsto HN^2=104^2+78^2[/tex]

[tex]\\ \sf\longmapsto HN^2=10816+6084[/tex]

[tex]\\ \sf\longmapsto HN^2=16900[/tex]

[tex]\\ \sf\longmapsto HN=\sqrt{16900}[/tex]

[tex]\\ \sf\longmapsto HN=130[/tex]

Done .

I just need someone to convert those numbers to percentages. Thank you!

Answers

Answer:

Middle school      High school

93%          36%

31%           54%

Step-by-step explanation:

this is over 100% btw

find the varibles basic geo

Answers

Answer:

x = 34

y = [tex]51\sqrt{3}[/tex]

Step-by-step explanation:

[tex]sin30=\frac{17}{y}[/tex]

[tex]y=\frac{17}{sin30} =\frac{17}{.5} =34[/tex]

[tex]tan30=\frac{17}{x}[/tex]

[tex]x=\frac{17}{tan30} =\frac{17}{\frac{\sqrt{3} }{3} } =(17)(3)\sqrt{3} =51\sqrt{3}[/tex]

Hope this helps

Person A leaves his home to visit his​ cousin, person​ B, who lives 162miles away. He travels at an average rate of 60miles per hour. One​ half-hour later, person B leaves her house to visit person​ A, traveling at an average rate of 72miles per hour. How long after person B leaves will it be before they​ meet?

Answers

Answer: 0.727 hours

Step-by-step explanation:

Call A’s distance from A’s house “a(t)” when t hours have passed. Then a(t) = 60t, because distance = rate x time.


Call B’s distance from A’s house “b(t)”. Then b(t) = 162 - 72t, because they start 162 miles away and subtract miles as time elapses.


The time at which they meet will be when a(t) = b(t). (Think about it). So now we just solve for t:


60t = 162 - 72t

132t = 162

t = 1.227 hours.


HOWEVER this isn’t quite what they asked for. They want the time they meet since B left (not A), and since B left .5 hours after, we must subtract .5. Thus the answer is 0.727 hours.

PLZ HELP ILL MARK BRAINLEIST

Answers

Your third option! You’re very welcome!

Sebastian buys a gift which costs £18.20 He pays with a £20 note. (a) How much change does he receive?​

Answers

Answer:

1.80

Step-by-step explanation:

i think

38-25-8 * 4 of ​solution​​

Answers

Answer:

Step-by-step explanation:

[tex]38-25-8*4\\\\38-25-32\\\\=-19[/tex]

[tex]38-25-8 * 4[/tex]

[tex]13 - (8*4)[/tex]

[tex]13 - 32[/tex]

[tex] - 19[/tex]

I think it’s B. But I’m not sure

If it’s not can someone explain why?

Answers

Answer:

C

Step-by-step explanation:

| x | > 10

Has solutions that go infinitely high to the right and infinitely low to the left on the number line.

That is x > 10 or x < - 10

This is indicated on Graph C

PLZ HELP ME WITH NUMBERS 5 AND 6
ITS DUE TOMORROW!!!!!!!!

Answers

Answer:

5. 3,2 is not | 0,1 is | 9,-1 is not | 6,-2 is | 5,0 is not

6. The line is gonna be y= 1/3 - 2

Step-by-step explanation:

For 5 just plug in the numbers for x and y.

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