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.
PLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X
84 I'm sure it's that I did it before
Nellie purchased 6.5 pounds of strawberries for $12.87. Calculate the cost of a single pound. (Round to the nearest tenth or cent when necessary)
Answer:
The answer is $1.98.
Step-by-step explanation:
The butterfly method shows how to do this. It is 12.87 over 6.5 equals x over 1. Cross-multiply to get 6.5x = 12.87. Divide both sides by 6.5 to get x = 1.98.
Is the figure an example of a line?
Answer:
No, Because it has 2 endpoints lines travel forever in both directions
Step-by-step explanation:
Answer:
D. No, it has two end points.
Step-by-step explanation:
A line is something that extends indefinitely in one or both directions.
A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.
Answer:
for r= 70 cm
the rate is 0.008cm/s
for r=95cm
the rate= 0.0044cm/s
Step-by-step explanation:
kindly find attached a rough sketch of the circle and a detailed solution of the problem.
Given data
rate dv/dt=500cm^3
r=70cm
r=95cm
So Can anyone help me with this
if loga81=4, find value of a?
Answer:
[tex]\huge\boxed{a=4}[/tex]
Step-by-step explanation:
[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]
what is 78756567.998 divided by 76454
Answer:
1,030.11703766971
Step-by-step explanation:
Just use a calculator (windows + r and then type calc if your on windows or search up calculator)
Select all the conditions for which it is possible to construct a triangle.
Group of answer choices
A triangle with angle measures LaTeX: 60^\circ 60 ∘ , LaTeX: 80^\circ 80 ∘ , and LaTeX: 80^\circ 80 ∘
A triangle with side lengths 4 cm, 5 cm, and 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm
A triangle with side lengths 4 cm and 5 cm and a LaTeX: 50^\circ 50 ∘ angle
A triangle with angle measures LaTeX: 30^\circ 30 ∘ and LaTeX: 60^\circ 60 ∘ , and a 3 cm side length
Answer:
A triangle with side lengths 4 cm, 5 cm, and 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm
A triangle with side lengths 4 cm and 5 cm and a 50∘ angle
A triangle with angle measures 30 ∘ and 60 ∘ , and a 3 cm side length
Step-by-step explanation:
A triangle measuring 60 ∘, 80∘ and 80∘ is more than sum of angles of a triangle (180∘). This cannot be constructed as triangle because it is more than 180∘.
A triangle can be constructed, If the sum of any two sides is greater than third side,
Thus, a triangle with side lengths 4 cm, 5 cm, and 6 cm can be constructed because;
4 cm + 5cm > 6 cm
A triangle with side lengths 4 cm, 5 cm, and 15 cm can be constructed as well, because;
5 cm + 15 cm > 4 cm
A triangle with side lengths 4 cm and 5 cm and a 50 ∘ angle can be constructed ( two sides and an angle between them)
A triangle with angle measures 30 ∘ and 60 ∘ , and a 3 cm side length can be constructed ( two angles and a side between them)
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .
Answer:
The area of this circle is [tex](\frac{\pi}{2} )[/tex] the area of the square.
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
Step-by-step explanation:
Area of the circle is given by;
[tex]A_c = \frac{\pi d^2}{4}[/tex]
Area of the square is given by;
[tex]A_s = L^2[/tex]
relationship between the edge length of the square, d, and length of its side, L,
[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]
But area of the square , [tex]A_s = L^2[/tex]
[tex]d = \sqrt{2A_s}[/tex]
Then, the area of the square in terms of the edge length is given by;
[tex]A_s = \frac{d^2}{2}[/tex]
Area of the circle in terms of area of the square is given by;
[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Ф = E.A
Flux through the surface of the circle is given by;
[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]
Flux through the surface of the square is given by;
[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square
The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Φsquare is [tex]\dfrac{2}{\pi}[/tex] ϕcircle
Given
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square
For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.
Therefore, Φsquare is ________ ϕcircle .
1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.
The area of the circle is;
[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]
The area of the square is;
[tex]\rm Area \ of \ square = a^2[/tex]
The relationship between the edge length of the square, d, and length of its side a is;
[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;
[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.
2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Ф = E.A
3. Flux through the surface of the circle is given by;
[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]
To know more about Flux click the link given below.
https://brainly.com/question/5932170
Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?
Answer:
Part A: -8
Part B: -4
Step-by-step explanation:
[tex]5-13=-8[/tex]
[tex]-8+4=-4[/tex]
A light bulb consumes 1800 watts-hours per day. How many watt- hours does it consume in 5 days and 6 hours
Answer:
9900 watts-hours is how much it consumes in a period of 5 days and 12 hours.............to check this: multiply 1800 by 5 and it equals 9000 then you divide 1800 by 2 because 12hours is a half day and it is 900 after all that you add 9000+900 and it equals 9900
Mark me as brainliest if u found the answer helpful
Answer: well just do the math 1800 times 24 is 43200 times 5 is 216000
and 1800 times 6 is 10800 plus 21600 is.......226800
Step-by-step explanation:
do the math!!!!!
helpppppppppppppppppppp
PLEASE MIDDLE SCHOOL MATH NEED HELP!!!! THIS IS URGENT 13 POINTS TO FULL ANSWER!!!
I bought 7 1/3 pounds of apples from Store A and 9 2/6 pounds of apples from Store B. I made apple sauce using 2 1/2 pounds of apples, how many pounds do I have left?
Answer:
14 1/6
Step-by-step explanation:
7(1/3)+ 9(2/6)= 16(2/3)
16(2/3)
16(2/3)-2(1/2)= 14(1/6)
Answer:
14 1/6
Step-by-step explanation:
7 + 9 =16
convert 2/6 = 1/3
1/3 +1/3=2/3+16=
16 2/3 -2 1/2=
Answer the following questions using what you've learned from this unit. Write your answers in the
space provided. Be sure to show all work.
1. Solve the equation.
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
Step 1: Use the distributive property to remove the parentheses. (2 points)
Step 2: Collect any like terms on both sides of the equation. (2 points)
Step 3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides.) (2 points)
Answer:
x=-3
Step-by-step explanation:
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
(remove parentheses)
5x-20+3x-9x=6-2x-5+8x
(collect like terms and calculate)
-x-20=1+6x
(move the terms)
-x-6x=1+20
(collect like terms and calculate)
-7x=21
(divide both sides)
x=-3
(your answer :))
Help please! I need to know the domain and range of this graph
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]domain = ( - \infty \: , \: \infty ) [/tex]
[tex]range = ( - \infty \: , \: \infty ) - (0)[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
Domain: (-oo, 3) U (3, +oo)
Range: (-oo, 0) U (0,oo)
Step-by-step explanation:
The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero
Answer:
The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE
Hope this helps!
Answer: 1 turning point
Step-by-step explanation:
The midpoint of xy is located at the origin
Answer:
Is there supposed to be an image?
Step-by-step explanation:
Venu goes to a fruit stand and buys some apples and bananas. Let A represent the number of apples she buys, & the number of bananas she buys, CA the cost of each apple, and C, the cost of each banana. a. Is the expression A+B meaningful in this situation? If so, what does it mean? If not explain why not b. Is the expression A - Ce meaningful in this situation? If so, what does it mean? If not, explain why not 2 Write an expression for the total cost of Venu's purchase.
Answer: wow that's crazy cause I need help with the same answer
Step-by-step explanation:
Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.
Let c represent the weight of each box Caleb lifted.
Which expression represents the total number of pounds Sergio lifted?
120c
10(c−12)
12(c+10)
c + 10
Answer:
b
Step-by-step explanation:
Answer:
12 c+10
Step-by-step explanation:
becus
The quanities x and y are proportional Find the constant of proportionality (r) in the equation y= rx
CORRECT ANSWER = BRAINLEIST
Answer:
5
Step-by-step explanation:
7*5=35
12*5=60
20*5=100
Solve for j if aj+k=v
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.
Find the balance in the account after the given period. $4000 principle earning 3% compounded annually 6 years
Answer: it would be 3000 that’s what it is
Step-by-step explanation:
the product of -4 and a number is 36 find the number?
Answer:
32
Step-by-step explanation:
if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32
pls mark brainlest for real :,,(
Please answer these giving brainliest to the first right person. 20 points.
Answer:
31.x>2
32.x<-2
33.x<5
34.x>0
Step-by-step explanation:
twice a number k plus the quantity s minus 2
2k + s - 2
I don't understand the question
Answer:
2k+s-2
Step-by-step explanation:
twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is
=2k+s-2
The value is directly proportional to the value of x. If y =102 when x = 6, what is the value of y when x= 24
Answer:
y=408
Step-by-step explanation:
y is directly proportional to x
y=kx (where k is the constant)
102=6k
102÷6=k
17=k
y=17x
find y when x=24
y=17(24)
y=408
Which of these is the triangle proportionality theorem? First person to answer CORRECTLY gets brainliest
Answer: A.
Step-by-step explanation: Brainliest plz
i poopoo myself how to clean
Answer:
you clean!?
Step-by-step explanation:
I just lick it
Answer:
use toilet paper
Step-by-step explanation:
first you clean yourself then you clean again until very clean lol
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Answer:
Brand A ($2) is more expensive than Brand B ($1.50) (see below)
Step-by-step explanation:
First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.
Using the slope formula:
y2 — y1
m = ---------------
x2 — x1
Plug in any two points from both lines:
y2 — y1
m = --------------- = graph 1 (0, 0), (1,2)
x2 — x1
2 — 0
m = ---------------
1 — 0
2
m = --------------- = $2/m
1
_______graph 2_______
y2 — y1
m = --------------- = graph 2 (0, 0), (4, 6)
x2 — x1
6 — 0
m = ---------------
4 — 0
6 3
m = --------------- = ----------- = $3/2 m
4 2
Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:
$3 = $x
2m = 1m
Cross multiply:
3 (1) = 2x
3 = 2x
x = (3 ÷ 2)
x = 1.5
So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.
The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
Answer:
20
Step-by-step explanation:
Answer:
-10, 0, 10, 20, 30, etc.
Step-by-step explanation:
There are multiple elevations greater than -20
If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!