there are between 24 and 40 students in class
the ratio of boys to girls is 4:7
how many students are in the class?

Answers

Answer 1

9514 1404 393

Answer:

  33

Step-by-step explanation:

The total number of ratio units is 4+7 = 11. If each one stands for an integer number of students, that number is a multiple of 11 between 24 and 40. The only such number is 3×11 = 33.

There are 33 students in the class.

_____

12 are boys, 21 are girls.


Related Questions

find the slope of the line through each pair of points (19,-2) (-11,10)

Answers

Answer:

[tex]\huge\boxed{-\frac{2}{5}}[/tex]

Step-by-step explanation:

The slope of a line can be determined from two points via the slope formula. This is usually defined as the change in y divided by the change in x. It’s commonly represented using this formula:

[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex]

Where [tex]\Delta[/tex] represents “change in.”

The slope is basically just saying the rate of increase/decrease a function has when x increases by 1 - how much does y change when x increases by 1? We can find this by taking larger values and dividing by the rate at which we took the larger values. This derives the slope formula.

We can find the change in y and x in this function by analyzing the two points given. If we look at the change between each point, we can get the change since this is a line and thus has a constant slope.

The change in y will be 12. This is because from -2 to 10 is 10 units - [tex]10 - (-2) = 12[/tex] The change in x will be -30. This is because from 19 to -11 is -30 units - [tex]-19 -11 = -30[/tex]

Now that we have our change in x and y, we can substitute these values into the slope formula.

[tex]\displaystyle \frac{\Delta y}{\Delta x}[/tex] [tex]\displaystyle \frac{12}{-30}[/tex] [tex]\displaystyle -\frac{12}{30}[/tex] Simplify - divide numerator and denominator by 6 [tex]\displaystyle -\frac{2}{5}[/tex]

Therefore, the slope of this line is [tex]-\frac{2}{5}[/tex].

Hope this helped!

Write the quadratic equation in standard form:
8x2=8x + 13 + 4x2

Answers

x=2=|17/2

| means square root btw

and i put / to make it a fraction

You are traveling in a car. Your speed is 30 miles per hour. What is your speed in feet per minute?

Answers

Answer:

.5

Step-by-step explanation:

30 miles a hour divide by 60 so your going half a mile a minute

Your speed in feet per minute is 2640 ft/min.

What is unit rate?

A unit rate means a rate for one of something.

Given that, Your rate of speed is 30 miles for every 1 hour

We know, 1 mile = 5280 feet

Therefore, 30 miles = 30x5280 = 158400 feet

That means, you are travelling 158400 feet for every hour

In an hour, there are 60 minutes,

Therefore, you are travelling 158400 feet in every 60 minutes.

In 60 minutes = 158400 feet

In 1 minute = 158400/60 = 2640 feet

That means you are travelling 2640 feet in every 1 minute.

Hence, your speed in feet per minute is 2640 ft/min.

For more references on unit rate, click;

https://brainly.com/question/11258929

#SPJ2

Find the area of the polygon.

Answers

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Hope this helps !!

Step-by-step explanation:

The diameter is 24 cm. Find the
length of arc CD

Answers

Answer:

s = 4π    Exact answer

s = 12.56   Decimal approximation

Step-by-step explanation:

cicrumference  = πd

s = (∅/360)(πd)

s = (60/360)(π * 24)

s = 4π    Exact answer

s = 4 * 3.14

s = 12.56   Decimal approximation

What is remainder one as a fraction?

Answers

Answer:

We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .

Step-by-step explanation:

Answer:

We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .

Step-by-step explanation:

2 tables 8 chairs. 1 5/8 quarts paint for 2 tables and 2/3 quarts paint for 8 chairs. How many total quarts paint should you bring for this furniture

Answers

Answer:

2 7/24

Step-by-step explanation:

1 5/8 + 2/3

1 15/24 + 16/24

1 31/24 = 2 7/24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?

Answers

Answer: 51

Step-by-step explanation:

2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.

4 pentagons have 20 sides because a pentagon has 5 sides. So,        4x5=20.

5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.

In all, 16+20+15= 51

mrs. freeman is paying for a $20 meal. she has a 15% off coupon for the meal. after the discount , a 7% sales tax is applied.

what does mrs freeman pay for the meal

Answers

Answer:

Lin's father pay for the meal is $18.19

Step-by-step explanation:

Given:

Lin’s father is paying for a $20 meal.

He has a 15%-off coupon for the meal.

After the discount, a 7% sales tax is applied.

Now, to get the amount Lin's father pay for meal.

So, we deduct the 15% discount first:

$20 - 15% of $20.

Then, adding 7% sales tax:

$17 + 7% of $17

Therefore, Lin's father pay for the meal is $18.19.

Part 3a. NO LINKS. Find the measure of the arc or angle indicated.​

Answers

9514 1404 393

Answer:

  99°

Step-by-step explanation:

Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...

  360° -136° -125° = 99° . . . . measure of arc XZ

Answer:

Solution given:

<x=68°

arc XY=125°

arc XZ=?

we have

<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

<W=180°-68°=112°

Now

arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]

arc YZ=224°

arc XY +arc YZ=224°

125°+arc YZ=224°

arc YZ=224°-125°

arc YZ=99°

the measure of the arc or angle indicated is 99°.

Hiiiiiii pls helppppppppp plsssss and thxxxxxx

Answers

Answer:

It's A I believe

Step-by-step explanation:

Answer:

D, 1056 Cubic inches

Step-by-step explanation:

Multiply 11x16 to get the 2-d area of it's base. after multiply by 8 to get its hieght. You have the volume of the shape with the step-down filled. To find the volume with the step down empty, divide by 4 to get the area of 1/4. then multiply by 3 to find 3/4 of the rectangular prism

{[(11×16×8)÷4]3}     <== Equation

Your local dry cleaners is running a special. The dry cleaner is offering a 13% discount for any drop off that is over $40. Also, they are running a neighborhood special of an additional 5% off. Given this information, determine the decay factor corresponding to each percent decrease.
a.
34.8; 33.06
c.
0.87; 0.95
b.
0.384; 0.3306
d.
87; 95

Answers

Answer:

a.  34.8; 33.06

Step-by-step explanation:

The computation is shown below;

since in the question it is mentioned that that if the price is $40 so if offered the 13% discount

So the 13% discount on $40 is

= $40 - 13% of $40

= $34.80

Now additional 5% is also provided

So,

= $34.80 - 5% of $34.80

= $33.06

Therefore the first option is correct

Three times a number is 42. What is the number? 12 14 16 39

Answers

Answer:

14

Step-by-step explanation:

If you do 42/3 you get 14. Which to check your answer you can do 14 x 3 and you would get 42. Hope this helps.

The answer is 14.

I am answering dis for you to give da other person brainliest!

Find the value of cos[cos^-1(sqrt 2/2)-n/2]

Answers

Answer:

I highly think it's D. [tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Researchers conduct a study to evaluate the level of pollution present in a river. They selected several locations along the river and then take a sample of water from each location.

What is the population under study?

A. The water in the river
B. River water in the county where researchers are working
C. Water in a lake fed by the river
D. The water collected by researchers​

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Evaluate the expression 122 – (9 – 7)3 +6.
122 – (9 - 7) + 6 = 122
+6

Answers

Answer:

Im kinda confuse but (9 - 7)3 + 6 should be 14

Step-by-step explanation:

Which of these describes a unique polygon?
Select the correct choice.
A
A quadrilateral with 4 right angles
B
A triangle with angles 30°, 80°, and 70°
С.
A triangle with side lengths 7 cm and 8 cm and a 70° angle
A triangle with each side length 5 inches

Answers

Answer:

The last option is unique.

Step-by-step explanation:

A triangle with each side length 5 inches - there's only one of these.

Find a polynomial f(x) of degree 5 that has the following zeros. 1, 8, -7, 5, -4. Leave your answer in factored form

Answers

Answer:

f(x) = (x-1) (x-8) (x +7)(x-5) ( x+4)

Step-by-step explanation:

The zeros of the function are written in the form

f(x) = (x-a)(x-b)..... where the a,b  are the zeros

f(x) = (x-1) (x-8) (x - -7)(x-5) ( x--4)

Rewriting

f(x) = (x-1) (x-8) (x +7)(x-5) ( x+4)

The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 42 cm, find its area.

Answers

Answer:

The area is 104

Step-by-step explanation:

Length: 5 + x

width: x

(5+x)*2=10+2x

x*2=2x

2x+10+2x=42

10+4x=42

-10 -10

4x=32

/4. /4

x=32

5+8=13

13*8=104

WHAT HAPPENS WHEN NON-METALLIC ELEMENTS ARE COMBINED

Answers

When a nonmetal combines with another nonmetal , a covalent compound is formed

A drone is flying at the maximum allowed altitude of 400 ft. The angle of depression to the landing pad is 65°. What is the horizontal distance from the drone to the landing pad? Round your answer to the nearest foot. Dashed horizontal line y equals 400 is drawn. A 65 degree angle of depression from begin ordered pair 0 comma 400 end ordered pair is drawn down to the horizontal axis. Enter your answer in the box.

Answers

Answer:

187 feet

Step-by-step explanation:

Tan  = opp/adj

tan65 = 400/adj

adj = 400/ tan65

adj = 186.523063261999437

Rounded

187 feet

What is the value of the expression below?

-7(-2)

Answers

Answer:

14

Step-by-step explanation:

-7*-2=14

the correct answer is 14

Where did paco make an error in his calculation?Explain.

Answers

Answer:

He made a mistake in step 2

Step-by-step explanation:

-3x does not equal 6 it clearly states it equals 1

Solve 4y^2+7y+2=0 to 2 decimal places​

Answers

Answer: There were two sloutions either y= -1/4= -0.250 or y=2

!!!!!MAJOR HELP PLS!!!!!
!!!!!I will give 1 Brainly!!!!!
What is the function equation for the input/output table?
X|Y
2|10
5|13
8|16
11|19

A.y=8x
B.y=x+8
C.y=5x
D.y=x+3
Image example is above

Answers

Answer:

The answer is D.

The answer is y=x+3

Answer:

A. y = x/8

Step-by-step explanation:

for example

y = 4 and x = 32

y = x/8

y = 32/8

y = 4

#CMIIW

In the refrigerator there are 3 opened milk bottles. One bottle
contains 3/10 of a gallon, and a second bottle also contains
3/10 of a gallon. If altogether there is 1 3/10 gallons in the
refrigerator, how much milk is in the third bottle?

Answers

The answer is 7/10
1 3/10 minus 6/10 equals 7/10

I need this answer as quick as possible!

A watercolor painting is 25 inches long by 12 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?

Answers

Answer:

the area of the mat = total area added minus the original area of the water color painting.

Step-by-step explanation:

length of the mat is:L = 20 in + 1 in + 1 in because 1 in  is added to each sideL = 22 inwidth of the mat is:w = 9 in + 1 in + 1inw = 11 in

Area mat = (22 in x 11 in) - ( 20 in x 9 in)

area mat = 62 sq in is the area of the mat

If U = {1,2,3,......., 15), A = {1,3,5,7,9}, B = {1,2,3,4,5,6,7}
& C = {3,6,9,12,15), find the value of (A - B)UC.​

Answers

Answer:

A-B means which is only in A not in B

Step-by-step explanation:

A-B={1,3,5,7,9}-{1,2,3,4,5,6,7}

={9}

(A-B)UC={9}U{3,6,9,12,15}

={3,6,9,12,15}

Answer:

the answer is a and b and h

thank

Can someone please help?

Answers

Answer:

Step-by-step explanation:

1/4 < 3/8

Answer:

The third one, 1/4 < 3/8

Step-by-step explanation:

The sign < means 3/8 is bigger than 1/4

Can someone help me rnnn please??

Answers

Answer:

No, they are the same triangles

Step-by-step explanation:

They both have a side length of 3 and 5 and an angle that measures 60 degrees. The triangles are just flipped in different directions.

If they were to draw an additional triangle that would make it seem different, they could expand the angle and make it obtuse to get a triangle with 1 wide corner.

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