Mathematics College

5. The total number of people who went to Disneyland this weekend was
6,405. If the ratio of boys to girls is 7 to 9 for those that attended, what was
the TOTAL number of boys and girls that went to Disneyland this weekend?
Show your work or explain your thinking.

Answers

Answer 1

Answer:

2,802 boys and 3,693 girls went to Disneyland this weekend

Step-by-step explanation:

System of Equations

Let's call:

b = Number of boys who went to Disneyland this weekend.

g = Number of girls who went to Disneyland this weekend.

The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:

[tex]b+g=6,405\qquad\qquad [1][/tex]

The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:

[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]

To eliminate denominators, multiply [2] by 9g:

[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]

Simplify:

[tex]9b=7g\qquad\qquad [3][/tex]

From [1]:

[tex]b=6,405-g[/tex]

Substituting into [3]

[tex]9(6,405-g)=7g[/tex]

Operating:

[tex]57,645-9g=7g[/tex]

Simplify:

[tex]16g=57,645[/tex]

Solve:

[tex]g=57,645 / 16 \approx 3,603[/tex]

Take the approximate value:

g=3,603

Find b:

[tex]b=6,405-3,603=2,802[/tex]

2,802 boys and 3,693 girls went to Disneyland this weekend

Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.

Related Questions

the of a rectangle is 42 square centimeters .it lenngth is 7 centimeters . what is the width of the rectangle

Answers

Answer:

6 centimeters

Step-by-step explanation:

Area = Length * Width

42 = 7 * Width

Width = 42/7

Width = 6 centimeters

What is the z-score for Paula If she got 1400 on the SAT, the mean was 1100 and the
standard deviation was 275?

Answers

Yea it is 275 with standard subtract
1400-deviation=275

what are the slopes of the two lines?

Answers

Step-by-step explanation:

The slopes of two lines are equal

Please i need help
50 points

Answers

Answer:

What did you need halp with

Step-by-step explanation:

Answer:

x=65

I put a pdf with the work below. hope it helps!

Step-by-step explanation:

PLEASE HELP ASAP

can you help me please​

Answers

so x is equal to 40 so the length of M and N is 140 and no is 70 with the total length being 210 hope I helped could I get a brainliest!!

Joanna, Dana, and Tracy shared some trail mix. Joanna ate 0.125 pound of trail mix, Dana ate 0.1 pound, and Tracy ate 0.12 pound of trail mix. Which lists the friends in order from least to greatest amount of trail mix eaten? ​

Answers

Answer:

Dana, Tracy, Joanna

Step-by-step explanation:

Dana ate 0.1 pound wich is 0.1000. Tracy ate 0.12 which is 0.12000. Joanna ate 0.125 which is 0.12500

Hope this helped :)

what is 4/6+2/3.?(these are fractions, you're just adding fractions)

Answers

Answer:

4/3

Step-by-step explanation:

Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.

Since our denominators match, we can add the numerators. 4 + 4 = 8. That gives us the sum, which is 8/6. Then you divide by 2.  So 8/6 / 2 gives you 4/3.

Answer:

4/3 or 1 1/3

Step-by-step explanation:

1. 4/6 + 2/3

2. 4/6 + 4/6          You have to find the LCM (least common multiple) of the two  denominators. In this case it would be 6. You have to multiply 3 by 2 to get 6. What you do to the bottom you also do to the top so you have to also multiply the numerator (2) by 2.

3. 4/3 or 1 1/3       Afterward, you just have to add straight across without changing the denominator and then if you need to simplify you simplify. Without simplifying, you would get 8/6, but, most teachers will mark it as wrong if you don't simplify. You can then change the improper fraction into a mixed number depending on what your teacher wants.

plz help hurry ill give brainllest
Use the number line to determine where to plot each rational number.

4.2 is

StartFraction 7 over 8 EndFraction is

Negative StartFraction 9 over 5 EndFraction is

Answers

Answer:

Step-by-step explanation:

Use the number line to determine where to plot each rational number.

4.2 is

✔ between 4 and 5, closer to 4

StartFraction 7 over 8 EndFraction is

✔ between 0 and 1, closer to 1

Negative StartFraction 9 over 5 EndFraction is

✔ between -1 and -2, closer to -2

The number 4.2 is between the 4 and 5, also closer to 4, Agian the number 7/8 between 0 and 1, closer to 1, and -9/5 number between -1 and -2, closer to -2

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have numbers 4.2

The number 4.2 is between the 4 and 5, closer to 4

=7/8 = 0.875

Now 0.875 number between 0 and 1, closer to 1

-9/5 = 1.8

The 1.8 number between -1 and -2, closer to -2

Thus, We can conclude that number 4.2 is between the 4 and 5, closer to 4.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

i need help plz 4z+2=34

Answers

Answer:

It's 8.

Step-by-step explanation:

I have a calculator from my school and I solved it on the calculator.

An angle measures 50° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

115, 65

Step-by-step explanation:

Let x be an angle measurement

x-50 is the supplement

They add to 180

x + x-50 = 180

2x-50 = 180

Add 50 to each side

2x-50 + 50 =180+50

2x = 230

Divide by 2

2x/2 =230/2

x = 115

The measure are 115 and 115-50=65

Kelsey has $550 is her bank account and withdraws $25 per week from her bank account. Kris has $10 in his bank account and each week he deposits $15 of his allowance and $20 earned from dog walking into his bank account. After how many weeks do they have the same amount of money?

Answers

Answer:

13 weeks they both have $ 225

Step-by-step explanation:

Please help me solve this, I will give you brainliest.

Answers

Answer:

5h+10=50

Step-by-step explanation:

Will mark brainliest, need FAST!!! also, make sure to explain why. and note that it’s 30 mph FASTER on the return trip, not 30 mph back. But I will mark brainliest, please answer!!!!!

Answers

Answer:b

Step-by-step explanation: first find the constant of proportionality (y=Kx) and substitute k for 10 because 30/3=10 and then your equation should look like y=10x now see the hours because the person travels 10 mph

On a field trip, there are 3 adults for every 46 students. Which graph models a relationship with the same unit rate?

Answers

i’m pretty sure it’s H

some wanna look at this and help me ?​

Answers

21x+1+14x+4=180
35x+5=180
35x=175
X=5
21(5)+1
105+1
Answer

Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?

A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds

Answers

Answer:

Letter B

Step-by-step explanation:

Answer:

I belive the answer is B

Step-by-step explanation:

Solve c = 1/2ab² for b.

Answers

Answer:

b²=√(2c/a)

Step-by-step explanation:

c=1/2ab²

1/2ab²=c

ab²=2c

b²=2c/a

b²=√(2c/a)

How many 2/3 go into 4

Answers

Answer:

it goes into 4, 6 times

Step-by-step explanation:

[tex]\frac{2}{3}[/tex]  ÷  [tex]4[/tex]

Hope this helps

Round 143.596 to the nearest hundredth

Answers

Answer:

143.6

Step-by-step explanation: i swear its right

To observe the effect of a categorical IV on a categorical DV (or variables recoded categorically from quantitative data), you would use the:

Answers

Answer:

Dummy Coding

Step-by-step explanation:

Dummy Coding is used to observe the effect of one categorical variable on another.

In this case, the first categorical variable is independent (ICV) while the other is dependent (DCV).

The dummy coding system makes use of two numerical values; 0 representing the absence of an effect and 1 representing the presence of that effect.

searching online for airline tickets. Two weeks​ ago, the cost to fly from to was ​$210. Now the cost is ​$355. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:ggStep-by-step explanation:

Answer:

192%

Step-by-step explanation:

355+50=405

405•100/210=192.857%

increse of 192.857%

Simplify the algebraic expression by combining like (or similar) terms.
5x + 5y - 2x + 5y

Answers

Answer:

3x + 10y

Step-by-step explanation:

(5x - 2x) + (5y + 5y)

= 3x + 10y

Answer:

10y + 3x

Step-by-step explanation:

*HELP*. I need help on this stuff on I-ready... *HELP*

Answers

Answer:

First one

Step-by-step explanation:

50 + 30 can be broken up into (10x5)+(10x3). You can simplify that into 10(5+3) because 10 x 5 =50 and 10x 3 = 30. :)

Answer:

10(5+3)

Step-by-step explanation:

If If you multiply 5 and 3 by 10 you'll get 50 + 30

Factorise 6x squares minus 14x

Answers

This can be done by find its roots. Knowing its roots, you'll be able to factor your equation, as follows:
First, let's solve this using Bhaskara:
−
14
±
√
14
2
−
4
(
6
)
(
−
12
)
2
⋅
6

−
14
±
22
12
Roots:
x
=
−
3
, which is the same as the factor
x
+
3
=
0

x
=
2
3
, which is the same as the factor
3
x
−
2
=
0
Using these factors, we can rewrite the original function:
6
x
2
+
14
x
−
12
=
2
(
3
x
2
+
7
x
−
6
)
=
2
(
x
+
3
)
(
3
x
−
2
)
ANSWER: Factor
2
x
2
x
out of
6
x
2
6
x
2
.
2
x
(
3
x
)
+
14
x
2
x
(
3
x
)
+
14
x
Factor
2
x
2
x
out of
14
x
14
x
.
2
x
(
3
x
)
+
2
x
(
7
)
2
x
(
3
x
)
+
2
x
(
7
)
Factor
2
x
2
x
out of
2
x
(
3
x
)
+
2
x
(
7
)
2
x
(
3
x
)
+
2
x
(
7
)
.
2
x
(
3
x
+
7
)

Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).

Which statement describes the geometric construction of the product zw on the complex plane?

Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.

Answers

Answer:

c on edge

Step-by-step explanation:

fr

Answer:

(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.

Step-by-step explanation:

edge:2022 Happy new year!

I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​

Answers

The correct answer will be B

Solve this equation -3-2[4-1]

Answers

Answer:

-15

Step-by-step explanation:

(-3-2)*(4-1)

-5*3=-15

Answer:

-15

Step-by-step explanation:

By rule of pemdas, 4-1 = 3. -3 -2= -5. -5 * 3= -15.

Name the slop and one point that is on the line represented by the equation: y + 3 = -1/2(x +7)

Answers

Answer:

The slope is -1/2 and a point on the line is ( -7,-3)

Step-by-step explanation:

y + 3 = -1/2(x +7)

This is in point slope form

y - y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

y - -3 = -1/2(x - -7)

The slope is -1/2 and a point on the line is ( -7,-3)

-
y=2/3x + 2 and passes through the point (12, 6).
Find an equation perpendicular to the line
A. y=-3/2x + 21
B. y=-3/2x +24
C. y= 2/3x + 14
D. y= 2/3x + 8

Answers

Answer:

B. y = -3/2x + 24

Step-by-step explanation:

The perpendicular slope is -3/2x to find the y-intercept use the point given

Plug in

6 = -3/2(12) + b (b = y-intercept)

6 = -18 + b (add 18 on both sides)

24 = b (so)

y = -3/2x + 24

2. Manny wants to rent a movie. Each movie costs $1 to rent. The function f(x) = X
represents this situation. Explain what x and f(x) represent in this situation."

Answers

x is the amount of movies and f(x) is total cost
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