When surveyed, the ratio of students who preferred Science class to English class was 5:4. If 90 students were surveyed, how many students chose Science?​

Answers

Answer 1

50 students preferred science...

Explanation:

we can consider the numbers 5 and 4 in the ratio as units

now we need to know how much each unit represent

units = 5 + 4 = 9

my sample = 90 students

each unit = 90/9 = 10 students

so each unit represents 10 students

back to the ratio

who preferred science = 5

who preferred English = 4

Number of students choose Science = 5 * 10 = 50


Related Questions

Simplify & Please show all work

Answers

Answer:

8/m^3n

Step-by-step explanation:

f(a)=a^3-10a^2+28a-17 at a=6

Evaluate function using the
Remainder theorem
Show work
I give Brainliest. :)

Answers

Answer:

727

Step-by-step explanation:

6^3-106^2=216+360=576+168=744-17=727

How many ways can you choose 3 dishes from a menu of 8?
a. 24
b. 336
c. 144
d. 56

Answers

Answer: A : 24

Explanation: 3 • 8 = 24.

1PLEASE HELP!!! Need to finish

Answers

Answer: Heyaa! ~

Your Answer is... -32

Step-by-step explanation:

Simplify the expression. [7-3(-8+5)]Your input: evaluate −2(7−3(−8+5)) when x=1, y=2, z=5.

Hopefully this helps you! ^

it would be 24
you need to foil the part in the parentheses (first, outside, inside, last) so you would multiply 7 x -8 to get -56 then 7 x 5 to get 35 then 3 x 8 to get 24 then -3 x 5 to get -15, after that add all the numbers together (-56+35+24-15) you should end up with -12, then you want to multiply that by -2 and you end up with 24 as your final answer
i hope this helps! remember that everything in parentheses comes first in a math equation!!

I forgot how do do these anyone remember please

Answers

It’s an Irritational graph

Answer:

x ≤ 1/2

Step-by-step explanation:

Domain:  input values (x-values)

We cannot take a square root of a negative number, therefore

3 - 6x ≥ 0

Solving the inequality:

⇒ 3 - 6x ≥ 0

⇒ 3 ≥ 6x

⇒ 1/2 ≥ x

⇒ x ≤ 1/2

Therefore, the domain is x ≤ 1/2

Question content area top
Part 1
A cake has two layers. Each layer is a regular hexagonal prism. You cut and remove a slice that takes away one face of each prism as shown. What is the volume of the​ slice? What is the volume of the remaining​ cake? Use pencil and paper. Describe two ways to find the volume of the slice.
5 in.
3 in.
2.6 in.
4.3 in.
2 in.
3 in.
​(The figure is not to​ scale.)
Question content area bottom
Part 1
The volume of the slice is

40 in..
​(Round to the nearest whole number as​ needed.)
Part 2
The volume of the remaining cake is

enter your response here in..

Answers

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

What is a regular hexagon?

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

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Statistics from the past ten years predict that the chance of rain on any single day in April in Asha’s hometown is 41%. If Asha’s birthday is April 10, what is the chance of it not raining on Asha’s birthday?

Answers

Answer:

59% chance

Step-by-step explanation:

Statistics from the past ten years predict that the chance of rain on any single day in April in Asha’s hometown is 41%. If Asha’s birthday is April 10, what is the chance of it not raining on Asha’s birthday?

Asha's birthday in in April. The chance of rain on any single day in April is 41%. So, there is a 41% chance of rain.

But, that's not what the problem is asking for. The problem is asking for the chance of not raining. To solve for this, we use simple algebra.

100%(all of the time) - 41%(how much it happens) = 59%

The 59% is the chance of it not raining on Asha's birthday.

Hope this helps! Happy birthday, Asha!

What is an equation of the line that passes through the point (-7,-6) and is parallel to the line x-y=7?

Answers

Answer:

y = x + 1

Step-by-step explanation:

Step 1: Find the slope.

Parallel lines have the same slope. That means that the line we are seeking is going to have the same slope as line x - y = 7.

To find the slope of the line x - y = 7 let's change it to the slope-intercept form.

Slope-Intercept Form

y = mx + b

m ... slope

b ... y-intercept

Let's change the equation of the parallel line to slope-intercept form (isolate y).

x - y = 7

Add y on both sides.

x - y + y = 7 + y

x = 7 + y

Subtract 7 on both sides.

x - 7 = 7 + y - 7

x - 7 = y

y = x - 7

Let's read the slope from the equation.

Instead of y = x - 7 we can write y = 1x -7.

Now it's obvious that m (slope) is 1.

m = 1

So far, our equation of the line is:

y = 1x + b

which is te same as

y = x + b

Step 2: Find y-intercept.

To find out y-intercept (b), we substitiute the point (-7, -6) in the equation. Points are in form (x, y) so -7 is x and -6 is y.

y = x + b

-6 = -7 + b

Solve for b.

1 = b

Step 3: Substitute slope and y-intercept in general formula for slope-intercept form of the line.

Now substitute m and b in slope-intercept form y = mx + b.

m = 1

b = 1

Equation of the line:

y = x + 1

A classroom floor is in the shape of a trapezoid and needs to be tiled. one of the parallel
sides of the room measures 25 feet and the opposite side measures 19 feet. the distance
between these sides is 21 feet. which answer represents the area of the classroom floor?
show how you determined your answer.
a 462 ft2
b.
475 ft2
c. 924 ft?
d. 950 ft2

Answers

I think the answer might be A

does the following form a proportion 2/3 = 6/9

Answers

Answer:

yes

Step-by-step explanation:

2/3=6/9

2/3=2/3

it is because 6 and 9 is divided by 3

Evaluate. (-5)² A. -52 B. -25 C. -10 D. 10 E. 25​

Answers

(-5)²

= (-5)×(-5)

= 25

-> E

Answer:

E. 25

Step-by-step explanation:

A negative times a negative equals a positive. And a squared number is the number inside the parentheses time that number.

Example:

-5×-5=25

3) show that the two lines with the given slopes are parallel, perpendicular neither. My₁ = 3/4 M₂ = 12/16 . solve it by showing step by step​

Answers

Parallel lines have equal slope so

M1-M2=0

Lets check

M1=3/4M2=12/16=3/4

Now

M1-M23/4-3/40

Lines are parallel

Answer:

The two lines are parallel

Step-by-step explanation:

If two lines are parallel, they have the same slope.

If two lines are perpendicular, the slopes will be negative reciprocals (the product of the slopes will be -1).

Given slopes:

[tex]\sf m_1=\dfrac{3}{4}[/tex]

[tex]\sf m_2=\dfrac{12}{16}[/tex]

Reduce m₂ to its simplest form by dividing the numerator and denominator by the largest common factor:

[tex]\sf m_2=\dfrac{12 \div 4}{16\div 4}=\dfrac{3}{4}[/tex]

Therefore,

[tex]\sf as \quad \dfrac{3}{4}=\dfrac{3}{4} \implies m_1=m_2 \quad[/tex]

As the given slopes are the same, the two lines are parallel.

can you find a five digit number which has no zeros, and no digit is repeated, and where:
the first digit is a prime number
the second digit is the fith digit minus the first digit.
the third digit is twice the first digit
the forth digit is the third digit plus 3
the fith digit is the diffrence between the first digit and the fourth digit

Answers

Answer:

13,254

hope this helps :)

please crown me brainliest!

The difference between two trinomials is 5x2 + 11x − 16. If one of the trinomials is 3x2 − 2x + 7, then which expression could be the other trinomial?

Answers

Applying the difference, it is found that the other trinomial could be given by: 8x² + 9x - 9.

What are the trinomials?

We are working with second degree trinomials, hence:

One is 3x² - 2x + 7.The other is ax² + bx + c.The difference is 5x² + 11x - 16.

Hence:

ax² + bx + c - (3x² - 2x + 7) = 5x² + 11x - 16.

(a - 3)x² + (b + 2)x + c - 7 = 5x² + 11x - 16.

Then:

a - 3 = 5 -> a = 8.b + 2 = 11 -> b = 9.c - 7 = -16 -> c = -9

Then, the trinomial is:

8x² + 9x - 9.

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The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?

Answers

This  is an equilateral triangle, therefore, all the angles  are 60 degrees.

3 times  60 is  180.

180 is the answer


Find the measure of angle A.
A
9x+6
4x + 6
m/A=

Answers

Answer:

angle A=30°

Step-by-step explanation:

[tex]9x + 6 + 4x + 6 + 90 = 180 \\ 13x + 102 = 180 \\ 13x = 180 - 102 \\ 13x = 78 \\ \frac{13x}{ 13} = \frac{ 78}{13} \\ x = 6 \\ 4x + 6 = a \\ 4(6) + 6 = a \\ 24 + 6 = a \\ 30 = a[/tex]

Factor the expression x2 − 14x + 45 completely.

Answers

Answer:

(x-9)(x-5)

Step-by-step explanation:

x²-5x-9x+45

x(x-5)-9(x-5)

(x-9)(x-5)

Answer:

(x-9)(x-5)

Step-by-step explanation:

To factor this expression, you need to find two values that have a sum of -14 and also have a product of 45. The values -5 and -9 meet these requirements and become the constants in the two factors of the expression,

x2 − 14x + 45 = (x − 9)(x − 5).

In the xy-plane, The line P is perpendicular to the graph of the equation 4x+3y=12. Which of the following is the slope of line P? A. -4 B.-3 C. 3/4 D.12

Answers

A slope is also known as the gradient of a line. The slope of line P is 3/4.

What is Slope?

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

As it is known that for two perpendicular lines the slope of the lines will be negative reciprocal of each other. The slope of line 4x+3y=12 can be written as,

y = 4 - (4/3)x

m₁ = -1/m₂

-(4/3) = -1/m₂

m₂ = 3/4

Hence, the slope of line P is 3/4.

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Please help me asap

Answers

Answer:

5x + [tex]\frac{1}{8}[/tex]y = 3/8

Step-by-step explanation:

Add [tex]\frac{5x}{8}[/tex] to both sides

[tex]\frac{5x}{8}[/tex] + y = 3

Divide both sides by 8

5x +  [tex]\frac{1}{8}[/tex]y = 3/8

Step-by-step explanation:

standard form is given by Ax + By = C

hence,

the answer is:

5x + 8y = 24

A right rectangular pyramid is sliced horizontally (across) at the red line by a plane parallel to the base. What is the shape of the cross-section?

Answers

It’s D!!! Pyramid pls give brainliest it can’t be triangle cause triangles r 2D and pyramids are 3R

what is the diameter of the cylinder

Answers

Diameter of cylinder is 14 units.Explamation :

Given :-

Volume of cylinder = 245π cubic unitsHeight of cylinder = 5 units

To Find :-

Diameter of cylinder?

Solution :-

Firstly lets calculate radius of cylinder by using formula of volume of cylinder, as we know that;

Volume of cylinder = πr²h

Putting all values we get;

➸ 245π = π × r² × 5

By cutting 'π' with 'π' we get;

➸ 245 = r² × 5

➸ 245/5 = r²

➸ 49 = r²

➸ √(49) = r²

➸ √(7 × 7) = r²

➸ 7 = r

r = 7 units

Hence, radius of cylinder is 7 units.

Now lets calculate its diameter, as we know that;

Diameter = Radius × 2

Putting all values we get;

➸ Diameter = 7 × 2

Diameter = 14 units

Hence, diameter of cylinder is 14 units.

Line / is parallel to line m. The slope of line / is 2/7. What is the slope of line M ?

Answers

Answer:

The slope would also be 2/7.

Step-by-step explanation:

The two lines are parallel, meaning that they follow the same slope. If line / has a slope of 2/7, then line M must have the same slope as well. I hope this helps! :)

What is the length of AC ?
A
12
M
C

Answers

The length of the chord AC in the circle is 24 units.

What are Chords?

Chords are line segment joining any two sides of a circumference of a circle.

The radius of a circle is half of diameter of the circle.

Therefore, a radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

Hence, the radius that runs through M is perpendicular to the chord AC. Therefore, the chord AC is divided into two halves namely AM and MC.

Hence,

AC = AM + MC

AC = 12 + 12

AC = 24 units

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what is the surface area of the triangular prism? 15ft 9ft 24ft 40ft 15ft PLEASE BE FAST ILL GIVE BRAINLIESTTT TODAYS MY LAST DAY AG SCHOOL TO AHH

Answers

Answer:

B. 2376 Square feet

--------------------------------------------------

PLEASE SOLVE ITS UrgeNT I WILL MARK YOU BRAINLIEST! PLEASEE

Answers

Answer:B

Step-by-step explanation:

The amoeba splits 24 times, meaning that the number of amoebas will be

2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2*2 or 2^24

Find the value for x: 5, 14, 12, x, 10, 4 average =9

Answers

Answer:

14

Step-by-step explanation:

i think 14 because you have to times two answers and add them form each number

Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the estimated and actual products compare?

(Hint: use 18 for the denominator when comparing.)
The actual product is about StartFraction 1 over 18 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction less than the estimate.

Answers

The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

What are fractions?

The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.

E =  [tex]\dfrac{5}{8}\times \dfrac{8}{9}[/tex] = 0.55

Thus the product of the fraction estimated in the nearest half is,

0.5×1= 0.50

Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

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Answer: B

Step-by-step explanation: took test/quiz

please help i have no idea how to do this

Answers

Answer (Step-by-step explanation):

so X is horizontal and Y is vertical.  (X,Y) because X comes first and Y comes last and all you need to do is make sure your points are correct and that the best of my ability, you can also try drawing lines to each pin point and you can estimate these (X,Y) because X=? and Y=? so good luck i hope that helps! (:

Why is y=-2x considered a function?


because there are values of y that correspond to more than one value of x.

because x is bigger than y.


because the value of y corresponds only to one value of x.

because y is bigger than x.

Answers

Yes

Step-by-step explanation:

its a direct-variation function

Please help I’m having trouble understanding this question

Answers

Answer: <1 = 26°

Step-by-step explanation:

given that:

• <ABD = 66°

• <2 = 14° + <1 (since ''more than' means we add)

• Find <1

Since it is obvious that <ABD is a sum of <1 and <2:

⇒ <ABD = <1 + <2

now we know that <2 is 14° more than <1 and that <ABD = 66°

⇒ 66° = <1 + (14° + <1)

⇒ 66° = <1 + 14° + <1

⇒ <1 = (66° - 14°) ÷ 2

⇒ <1 = 26° ...Answer...

hope that helps...

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