There were 3 times as many boys as girls in a museum. After 75 boys left and 25 girls entered, there were 2 times as many girls as boys. If 90 children remained, how many children were in the museum at first? *

Answers

Answer 1

Answer:

3x=y

3x-y=0

(y-75)+(X+25)=90

X+y=90+50

X+y=140

3x-y+X+y=0+140

4x=140

X=35(girls)

y=105(boys)

children were in the museum at first? *=35+105

=140


Related Questions

What number is 45% of 360?

Answers

Answer:

6 or 60. 45 is in it. Best I can explain

Answer:

162

Step-by-step explanation:

step 1. our output value is 360

step 2. we represent the unknown value with x

step3. from step 1 above, 360= 100%

step 4. similarity, x=45%

step 5. this result in a pair of simple equations

360=100%(1)

x=45%(2)

step 6. by dividing equation 1 and 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have

360/x = 45/100

x=162

therefore, 45% of 360 is 162

hope this helps!!!

How much simple interest will sean earn of $200 if he invest it for 3 years at 8% interest? ​

Answers

Answer:

$48

Step-by-step explanation:

He will earn $16 interest for one year. After 3 years, that will triple to $48

Find the slope that passes through the two points. (9,3) and (6,7)

Answers

Answer:

m=4/-3

Step-by-step explanation:

the equation for slope (m) when given two points is (y2-y1)/(x2-x1)

we are given the points (9,3) and (6,7)

we can label the points:

x1=9

y1=3

x2=6

y2=7

now substitute into the equation

m=(7-3)/(6-9)

subtract

m=4/-3

the slope is 4/-3

hope this helps!

Use the table below to determine the approximate height of the flag pole.

Answers

Answer:

B 17.5 ft

Step-by-step explanation:

tangent = opposite / adjacent

tan 35° = h / 25

multiply both sides by 25

h = 25 (tan 35°)

tan 35° = 0.70 (from your calculator)

h = 25 (0.70)

h = 17.51 ft.

What is the approximate difference in the circumference of a circle with a radius of 4 ft and the circumference of a circle with a radius of 6 ft?

Answers

Answer: 12.57 ft

Step-by-step explanation:

Circumference of circle with radius of 4ft.

= π * radius * 2

= 22/7 * 4 * 2

= 25.14 ft

Circumference of circle with radius of 6ft.

= 22/7 * 6 * 2

= 37.71 ft

Difference = 37.71 - 25.14

= 12.57 ft

The percent increase of the airline ticket is_____ %

Answers

Answer:

61% increase if the airlines held a 50$ baggage fee

Step-by-step explanation:

If I have 48 cards and and gave 10 to my friend and I have 38 left what what fractionbb be is my original number of cards

Answers

Question isn't well formatted :

If I have 48 cards and and gave 10 to my friend and I have 38 left. what fraction of original number of card do I have left.

Answer:

0.7917

Step-by-step explanation:

If I have 48 cards and and gave 10 to my friend and I have 38 left what what fractionbb be is my original number of cards

Given that :

Total number of cards = 48

Number given to friend = 10

Number of cards left = 48 - 10 = 38

Number of cards left / original number of cards

38 / 48

= 0.7917

solve for x.cos(2x+9)=sin(x)

Answers

Answer:

x=27

Step-by-step explanation:

cos and sin are complementary angles. There theta or x add up to 90 degree. Using the formula.

cos x=sin y where x+y=90 let set up the equation.

[tex] \cos(2x + 9) = \sin(x) [/tex]

[tex]2x + 9 + x = 90[/tex]

[tex]3x + 9 = 90[/tex]

[tex]3x = 81[/tex]

[tex]x = 27[/tex]

To check our identity plug x in the top equation

[tex] \cos(2 \times 27 + 9)) = \sin(27) [/tex]

[tex] \cos(63) = \sin(27) [/tex]

they both equal about 0.45 so it is true.

x=27

(1+5 to the 2)−16 1 over 2 to the power of 3

Answers

Answer:

[tex]{ \large{ \implies{ \sf{(1 + 5 {}^{2} ) - 16{ \bigg( }\dfrac{1}{2} { \bigg)} {}^{3} }}}}[/tex]

[tex]{ \large{ \implies{ \sf{26 - { \cancel{16 } \: {}^{2} }\times \dfrac{1}{ \cancel{8} }}}}}[/tex]

[tex]{ \large{ \therefore{ \sf{26 - 2 }}}=} \: { \large{{ \boxed{ \sf{ 24}}} \: \: ans.}}[/tex]

Plz help 20 points dont just steal points plz

Answers

Answer:

71.13

Step-by-step explanation:

The half area of a circle is A = 1/2 * pi*r^2 = 1/2 * pi * 3^2 or 9

The trapezoid is a rectangle and a triangle. Rectangle is 8*6 and the triangle is 6*(11 - 8) * 1/2

The total is 1/2 * pi * 9 + 8*6 + 6*(11 - 8) * 1/2 = 71.13

Find the area of the shaded region.

Answers

Answer:

351π cm^2.

Step-by-step explanation:

Area of shaded part = area of the large circle - area os small circle

= π * (13+7)^2 - π * 7^2

= 400π - 49π

= 351π.

A group of scientists are doing a study of elephants in Africa. They take a random sample of 200 elephants, and reveal the data set below. They believe the population of elephants in the area is about 6 times the size of the random sample. What is the estimated total population of all elephants in the area?

Answers

Answer:

138

Step-by-step explanation:

Pop said, "I have three grandchildren on my knee: Vera, Chuck and Dave. "Chuck is three years younger than Dave.

Answers

okie dokie buddy pokie

i need the help alot​

Answers

Answer:

{-5/4, 8}

Step-by-step explanation:

We are given (4u + 5)(8 - u) = 0.  Solve for u by setting each of the factors (4u + 5) and (8 - u) equal to zero and solving each of the resulting equations:

4u + 5 = 0 leads to u = -5/4, and

8 - u = 0 leads to u = 8.

The solutions are {-5/4, 8}

What is f(–3) for the function f(a)=-2а?-5а+4?
-29
-23
1
37

Answers

Answer:

The answer is 1. f(a) = –2a^2 – 5a + 4. If a = -3, then to find f(-3) we have to substitute a in the general formula. f(a) = –2a^2 – 5a + 4 = -2 * a^2 – 5 * a + 4. Substitute a with -3. f(-3) = –2 * (-3)^2 – 5 * (-3) + 4 = -2 * 9 - (-15) + 4 = -18 + 15 + 4 = 1

Step-by-step explanation:

Shipping company charge $15 to ship a package and 5% of the shipping charge for insurance on the package what was the total cost to ship this particular item

Answers

the total cost is 15.75
explanation: 5 percent of 15 is .75 plus the initial cost of 15 equals 15.75

what are the values of x and y​

Answers

Answer:

x = 10, y = 12

Step-by-step explanation:

There is a 2:1 ratio between 16 and 8, alternate side lengths.

2x = 20

x = 10

2(6) = y

y = 12

- .... . / --. .. .- -. - / .... --- .-. ... . / -.-. --- -.-. -.- / .-- . .. --. .... - ... / --- ...- . .-. / .---- .---- / .--. --- ..- -. -.. ...

ABCD is a rhombus. Solve for the length of AB if the two diagonals lengths are: AC = 12 units, BD = 16 units.

Answers

ab=10 units

.......................

I need help with this fast please

Answers

Answer:

$19

Step-by-step explanation:

first subtract 3 from 51 and that =48

then divide 48 between the 3 people and that equals 16

lastly add Kadens tip of 3$ which will equal $19.

I need help I need it ASAP!!

Answers

Answer:

50º

Step-by-step explanation:

A triangles angles = 180º

Angle A = 40º

Angle C = 90º  (this is a right triangle)

40º + 90º = 130º

180º - 130 º = 50º

Lines a and b are parallel.



What is the measure of angle m?

Answers

Okay i dont know

Step-by-step explanation:

Answer:

55°

Step-by-step explanation:

180 - 125 = 55

This diagram is not really to scale much but that would be the math you'd use to find angle m

can someone help me with this please?

Answers

Answer:
a.) 33.51
b.) 8.38

The formula for finding the area of a sector is (angle)/360 • area of circle, so A is 33.51
As for the length of the sector, we need the circumference of the circle (which is 50.27). Then, we can do 360/60 to get 6. Now, we divide 50.27/6 to get the length of the sector. So, B is 8.38.


How much will 5 ounces cost?
1.5 ounces of yogurt cost $2.40.
How much will 5 ounces of yogurt cost?

Answers

Answer:

ok.

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

first you have to find one

0.5 ounce = $2.40 ÷ 3 = $0.80

1 ounce = 0.8 × 2 = $1.60

5 ounces $1.60 × 5 = $8

simplify 8x^2-x-12x+2x2​

Answers

Answer:

Simplify: 8 2 − 1 3 + 2 2

Step-by-step explanation:

Solution: 1 0 2 − 1 3

Pick The Biggest Answer? 0.046 0.059 0.01 0.098

Answers

Answer:

0.098

Step-by-step explanation:

It should be obvious that 0.098 is bigger than 0.046 and 0.059, so let's focus on 0.01

0.01 = 0.010 and again it should be obvious that it's smaller than 0.098

Question #26

Simply (-45) ÷ (-9).​

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Because when there in the ( ) and there a negative they turn into a positive

so its positive Five

Hope this Helps and i'm Sorry if it doesn't

Don Juan Fue a la ferretería a comprar una manguera para regar su jardín después de observar María eligió una que tiene la siguiente etiqueta 83 pies diámetro interior medio In cuántos metros de longitud tiene la manguera que compró don Juan

Answers

Don Juan fue a la ferreteria a comprar una manguera para regar su jardín. Después de observar varias, eligió la que tiene la siguiente etiqueta. 83 pies, Diamtero interior 1/2 in. a) ¿Cuántos metros de longitud tiene la manguera que compró Don Juan? b) ¿Cuántos centímetros de diámetro interior tiene la manguera?

Responder:

25,30 m

1,27 cm

Explicación paso a paso:

Estamos obligados a convertir la longitud de la manguera de pies a metros y el diámetro de pulgadas a centímetros:

Longitud de la manguera = 83 pies

Recordar ;

1 pie = 0.3048 m

83 pies = (83 * 0.3048) = 25.2984 m

= 25,30 m

El diámetro de la manguera = 1/2 pulgadas

1 pulgada = 2,54 centímetros

1/2 pulgada = (1/2 * 2.54) cm

1/2 pulgada = 1,27 cm

Expand the following. In other words, remove the parentheses (brackets):
-5(2x - 4y)
B -10x + 20y
A 10xy
C -10x - 20y
D 10x - 20y

Answers

Answer:

B

Step-by-step explanation:

-5(2x-4y)

-5*2x = -10y

-5*-4y = 20y

So, -10x+20y

Help!!!!!
I will mark you brainliest

Answers

Answer:

The answer is b

Step-by-step explanation:

17. Maeve takes pictures of people as they
enter an amusement park. She makes $40 per
day, plus $4 for each person who buys a
picture. If Maeve made $80 yesterday, how
many people bought a picture?
A. 10 people
C. 40 people
B. 20 people
D. 15 people

Answers

answer is
a. 10 people
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