Mathematics Middle School

Use ratio box to solve problem

Five hundred fifty students attended the assembly. If the ratio of boys to girls in the assembly was 5 to 6, how many girls attended the assembly

Answers

Answer 1
There are 300 girls

Explaination:
The ratio is 5 boys to 6 girls, and a total of 550 students attending. To find the answer you have to multiply both ratio numbers by the same amount to get a correct answer. (See equation below)
[tex](5 \times 50) + (6 \times 50) = 550[/tex]
And to find how many girls and boys simply solve each one (5×50=250 boys) and (6×50=300 girls)
Answer 2

Final answer:

To find the number of girls attending an assembly given a boys-to-girls ratio, divide the total students by the total parts of the ratio and then multiply by the girls' part of the ratio. 300 girls attended the assembly.

Explanation:

Ratios provide us with comparative information. In this case, the ratio of boys to girls is 5 to 6. To find the number of girls, we need to divide the total students by the total parts of the ratio (5 + 6) and then multiply by the girls' part of the ratio:

Calculate total parts of the ratio: 5 (boys) + 6 (girls) = 11.

Divide total students by total parts of the ratio: 550 / 11 = 50.

Multiply by the girls' part of the ratio: 50 (students per part) * 6 (girls) = 300 girls attended the assembly.

Related Questions

Help meeeeeeeeeeeeee

Answers

You can just use the Pythagorean theorem if you're stuck, you know.

its a^2 + b^2 = c^2 where a and b are the short sides, or the legs, and c is the hypotenuse, or the long side.

Please help and please explain how you got the answer.

Answers

Diagonals of a rectangle are equal.
AC = BD
2(x - 3) = x + 5 Remove the brackets.
2x - 6 = x + 5 Add 6 to both sides.
2x = x + 5 + 6
2x = x + 11 Subtract x from both sides.
2x - x = 11
x = 11

AC = 2 (11 - 3) = 2*(8) = 16 <<<< Answer
BD = x + 5 = 11 + 5 = 16 <<<< Answer



If billy has 3 lemons and josh has 2 lemons then how many more lemons does billy have

Answers

Billy = 3 lemons
Josh = 2 lemons
3- 2=1
Billy has 1 more lemon that Josh.

Note: When the question asked for "How many more", it is asking for the difference, and the operation is generally minus.
Billy has 1 more lemon more than josh. 
3-2=1

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

Answers

Dividing the volume by the base area, you find the height to be ...
[tex] \frac{x^{4}+4x^{3}+3x^{2}+8x+4}{x^{3}+3x^{2}+8}=x+1-\frac{4}{x^{3}+3x^{2}+8}[/tex]

The height of the prism is [tex]x+1-\frac{4}{x^{3}+3x^{2}+8}[/tex]

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:

[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]

Given :

Volume of rectangular prism [tex]= x^4+4x^3+3x^2+8x+4[/tex]

Base Area of a rectangular prism = [tex]x^3+3x^2+8[/tex]

[tex]\rm Volume = Base \;Area\times Height[/tex]  ---- (1)

Solution :

The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.

Let the height of the prism be h.

Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).

[tex](x^4+4x^3+3x^2+8x+4) = (x^3+3x^2+8)\times h[/tex]

[tex]\dfrac{x^4+4x^3+3x^2+8x+4}{x^3+3x^2+8}=h[/tex]

[tex]h = \dfrac{((x+1)(x^3+3x^2+8)-4)}{(x^3+3x^2+8)}[/tex]

[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]

If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:

[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]

For more information, refer the link given below

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The temperature dropped from 38°F to 12°F in 13 hours. Find the average rate of change per hour.
–2°/hour
2°/hour
–3°/hour
–1°/hour

Answers

2 hours because when you would find the difference between 38-12=26. Then you would divide 26 by 13 and get 2 hours as your answer. Hope it helps!

Abbie bought 82 cases of water for her restaurant. Each case had 24 bottles of water. How many bottles of water did Abbie buy in all?

Answers

You need to multiply 82 and 24 to get the total amount of water battles in all.
The answer is 1968

Abbie bought 1968 bottles of water.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Each case had 24 bottles of water.

Abbie bought 82 cases of water for her restaurant.

The number of bottles,

= 82 x 24

= 1968 bottles of water.

Therefore, 1968 bottles of water, Abbie bought.

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Question number 7 please

Answers

Hello,

I would be happy to help.

For Part A, you just count the number of terms, there are 3. So, it is a trinomial.

For Part B, you look at the highest exponent value, it is 2. So it is a second degree polynomial.

For Part C, you have to sub in the values for each year. You are looking for the number of years since 1930, so subtract 1930 from each year.

2020 - 1930 = 90
2030 - 1930 = 100

Then, sub in those values into the given expression to find the density.

0.005(90)^2 - 0.127(90) + 1 = 30.07
0.005(100)^2 - 0.127(100) + 1 = 38.3

Remember to use the order of operations!

Good luck,
MrEQ

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a heart? a:15% b:25% c:27% d:35% Outcome Club Diamond Heart Spade Number of trials 8 12 14 6

Answers

C.35%
If you divide the number of hearts drawn by the number of total draws you get your answer.

14/20=0.35

The area of a circle is represented by the following expression, where r is the radius of the circle.



Find the approximate area of a circular pool cover with a radius of 12.5 meters. Use 3.14 for .

Answers

To find the area of a circle you need to multiply the radius times pie times 2

Which is dependent and independent
Time spent jogging and distance traveled

Answers

Time spent jogging is independent and distance traveled is dependent

Hope it helps :)

Mentone, Indiana claims to have the wor d's largest egg sculpture. A 5 foot tall person standing next to the egg sculpture casts a shadow that is 3 feet long. if the egg casts a shadow that is 6 feet long, how tall is the sculpture?

Answers

If the shadow is for the person that is 5 foot is 3 and the shadow for the egg is 6 it's going to be 10 foot bc it is double the height of the person shadow
10 Foot Tall 
Because if a 5 foot tall person casts a 3 foot long shadow then a 6 foot shadow would = 10 feet

Which graph has a y intercept of 2 and a slope of 1/2?

Answers

the second graph has a y intercept of 2 and a slope of 1/2

How are these numbers the same 3 5 7 11 13

Answers

They are all odd numbers.

Hope this helps :)
They are all odd numbers, and they are all prime. 

help me pleaseeeeeeeeeee

Answers

7x= -42
X= -6

6y= -42
Y= -7
7x + 6y = -42
 For this case what you should do is see the intersections with each of the axes and then join the ordered pairs.
 We have then:
 For the x axis: 
 y = 0
 Substituting in the equation:
 7x + 6 (0) = - 42
 7x + 0 = -42
 x = -6
 For the y axis:
 x = 0
 Substituting in the equation:
 7 (0) + 6y = -42
 0 + 6y = -42
 y = -42 / 6
 y = -7
 We graph the ordered pairs:
 (x1, y1) = (- 6, 0)
 (x2, y2) = (0, -7)
 Answer:
 See attached graph.

For f(x)=3x-1 find the average rate of change on the interval [0,3]

Answers

For a linear function, the average rate of change is the same everywhere. It is the slope of the function, the x-coefficient.

The average rate of change is 3.

_____
(f(3) -f(0))/(3 -0) = (8 -(-1))/3 = 9/3 = 3
The average change is 3

you pick one card from a standard deck.What is the probability that the card will be one of the clubs suit?

Answers

The probability is 1/4

Find the number of inches needed to represent 300 miles if 1/4 in. = 50 mi.

Answers

1.5 inches for 300 miles. 
300/50 = 6
So 6 x 1/4 = 6/4 AKA 1 1/2 AKA 1.5
200 miles = 1 inch
1 1/2 in. = 300

A store has two brands of pencils on sale for the day. Brand A comes in packs of 4 and Brand B comes in packs of 10. If an equal number of each brand sold, what is the minimum number of each sold.

Answers

A - 4
B - 10
looking for the LCM (least common multiple)
4 and 10 can both be divided evenly into 20
20 = LCM

The point P(-4, -5) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, P′?

Answers

the points are (4,5 ) because the rule for coordinates when rotated 180 is (-x,-y)

What is the mean for 43005,43007,43006,43005,43007

Answers

The mean would be 43006.

To find the mean, you simply add up all of the numbers in the sequence and divide by how many numbers are in the sequence.

 43005+43007+43006+43005+43007=215030

215030 / 5 = 43006.
Answer: 43006

To find the mean:
1. Add all the numbers up
2. Divide the sum of the numbers by how many numbers there are

43005 + 43007 + 43006 + 43005 + 43007 = 215030 
215030 ÷ 5 = 43006

Which shows a correct order to solve this story problem?



To make a fruit smoothie, Jason needs 2.4 ounces of blackberries, 1.6 ounces of apples, and 3.4 ounces of blueberries. Jason makes 5 smoothies.



How many ounces of fruit will Jason need altogether?



A.


Step 1: Add together the weights of the three fruits.

Step 2: Multiply the sum by 5.


B.


Step 1: Add the weights of the apples and the blueberries.

Step 2: Subtract the weight of the blackberries from that sum.

Step 3: Multiply the difference by 5.


C.


Step 1: Multiply the weight of the blackberries by 5.

Step 2: Add the weights of the apples and the blueberries to that product.

Step 3: Multiply the sum by 5.


D.


Step 1: Add together the weights of the three fruits.

Step 2: Divide the sum by 5.

Answers

Put yourself in Jason's shoes and consider how you'd solve the problem.

You're given the weight of components for one smoothie. You want to make 5. Essentially, you want to add the weights together 5 times.

In 3rd grade you learned that multiplication is an easier way to do repeated addition. It makes sense to add the weights together once, then multiply the result by 5.

Selection A is appropriate.

-6x+6y=6
-6x+3y=-12

Solve using elimination

Answers

-6x + 6y =6
-6x + 3y = -12
You would multiply the bottom equation by -1 to make -6x a positive so you can eliminate it.
-6x + 6y = 6
 6x + -3y = 12
Eliminate -6y and add 6y to -3y as well as 6 and 12.
0 +  3y = 18
3y = 18
divide both sides by 3
y = 6 
 
now that you know the value of y it will be easy to find x :)




-6x + 6y = 6
-6x + 3y = -12

✨ You need to eliminate a variable, so I'll use -1 to multiply the first equation by.

6x - 6y = -6
-6x + 3y = -12

-3y = -18

✨ y = 6

6x - 36 = -6

6x = 30

✨ x = 5

✨ The solution is (5,6) ✨

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♡´･ᴗ･`♡вяαιиℓιєѕт ρℓєαѕє♡´･ᴗ･`♡

What is the value of mc020-1.jpg?
40
77
4,096
9,317

Answers

Answer:

The answer is 77

just took the test ;)


The value of the function (f/g) (5)  is 270.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given functions are f(x)=7+4x

g(x) = 1/2x

We need to find the value of f/g(5)

(f/g) (x) = f (x)/g(x)

(f/g) (5) = f (5) / g(5)

Now we will put the value of x = 5

f (5) = 7 + 4 (5) = 27

g (5) = 1 / (2)(5) = 1/10

(f/g) (5) = 27 / (1/10)

(f/g) (5) = 270

Hence, the value of the function (f/g) (5)  is 270.

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The given question is not complete.

The question will be like this, the function f(x)=7+4x, g(x) = 1/2x  then value of f/g(5)?

If the dimensions of a square pyramid are measured in meters, then the surface area of the pyramid is measured in
meters
square meters
cubic meters

Answers

if the dimensions of the square pyramid are in meters, the surface area can be calculated as follows;
Surface area = area of square base + area of lateral faces 
                      = (side length of square )² + (1/2 * slant height* perimeter)
If we substitute the equations with the units of the dimensions 
area               = (meters)² + (1/2* meters * meters)
                      = m² + m²
total area       = m²
therefore the area is obtained in square meters (m²)

Answer:

If the measurments are in meters, then the surface area of the pyramid will be in square meters.

Step-by-step explanation:

Solve for a.

a+(−4)=−13

What is the answer?


a=−17

a=−9

a = 9

a = 17

Answers

The answer has to be -9 because -9 + -4 is equal to -9 - 4, and that equals -13. 
The answer is B because-
-9 + -4 = -13
-13 = -13

A is not the answer because- 
-17 + -4 = -13 
-21 ≠ -13

C is not the answer because- 
9 + -4 = -13
5 ≠ -13

D is not the answer because- 
17 + -4 = -13 
13 ≠ -13


How can you tell if shapes are similar or not?

Answers

It is similar because when you scale it larger the shape will be same just because it bigger
The look similar because similar shapes have proportional length but i cant tell because i don't have the sides... 

What is 6.877 rounded to the nearest whole number

Answers

It is 7, because you always have to round up if the next decimal is greater than or equal to 5 (depending on where you live). 
Hello,

Here is your answer:

The proper answer to this question is "7".

Here is how:

Looking at the number closest to the whole number (6&8) you will see that 8 is bigger than 5 therefore it rounds up!

6.877=7

Your answer is 7.

If you need anymore help feel free to ask me!

Hope this helps!

* 20 points when marked brainliest *

Please explain thoroughly.

Answers

The formula for the distance (d) from point (x, y) to the line ax +by +c = 0 is
.. d = |ax +by +c|/√(a^2 +b^2)

The general form equation for your line is
.. x -y +4 = 0
so the distance to (4, -2) is
.. d = |4 -(-2) +4|/√(1^2 +(-1)^2) = 10/√2 = 5√2
.. d ≈ 7.1 . . . . . . . . . . corresponds to selection A

the graph below represents the price of Trisha chocolate chip cookies .How much would it cost to buy 30 of Trisha's cookies

Answers

To use the graph to find out the cost for 30 cookies you will start with the information that is given from the graph.

The easiest rate to use from the graph will be $16 for 20 cookies. If you set this up as a rate in fraction form, you can then either make a Unit rate (price per 1 cookie - see example 1 in th he attached picture) or make an equivalent rate for 10 cookies before getting to 30 - see #2 on attached picture.

The answer is $24 for 30 cookies.

what is 5 13/12 simplified

Answers

5 13/12 simplified it to 6 1/12
because 12/12 is a whole and 13/12 means 1 and 1/12 so you would add that to the 5
5 + 1 and 1/12
6 1/12

Hope this helps!

The mixed fraction number 5 ¹³/₁₂ into a simplified form will be 73/12.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The mixed fraction number is given below.

⇒ 5 ¹³/₁₂

Convert the mixed fraction number into a fraction number. Then we have

⇒ 5 ¹³/₁₂

⇒ 5 + 13 / 12

⇒ (5 x 12 + 13) / 12

⇒ (60 + 13) / 12

⇒ 73 / 12

The mixed fraction number 5 ¹³/₁₂ into a simplified form will be 73/12.

More about the Algebra link is given below.

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