You need a 30% alcohol solution. On hand, you have a 90 mL of a 45% alcohol mixture. How much pure water will you need to add to obtain the desired solution?

You will need
_____ mL of pure water
to obtain
______ mL of the desired 30% solution.

Answers

Answer 1

Answer:

45ml of pure water to obtain 135ml of the desired 30% solution

Step-by-step explanation:

45% of 90 = 40.5

So, 40.5ml of alcohol in 90ml

We want 30% and therefore need a ratio of 3:7

40.5÷3=13.5

so one part of our ratio is 13.5

we then times this by 7

13.5 x 7 = 94.5

so, 94.5ml of water

to work out how much we already have, we should do 90ml- 40.5ml = 49.5ml

and then 94.5- 49.5 = 45ml

We need 45ml of water and the total mo of the desired solution will be 90+45=135ml

Answer 2

To dilute a 45% alcohol solution to a 30% alcohol solution by adding pure water, you will need to add 45 mL of pure water to the initial 90 mL to achieve a total volume of 135 mL with the desired 30% alcohol concentration.

To dilute a 45% alcohol solution to a 30% alcohol solution using pure water, we can use the concept of concentration dilution in chemistry. This involves calculating the amount of diluent (in this case, water) to add to an existing solution to achieve a desired concentration.

Let's denote the amount of pure water to add as x mL. The initial volume of the alcohol solution is 90 mL with a 45% concentration, meaning it contains 40.5 mL of pure alcohol. Since adding water doesn't change the amount of alcohol, the final mixture's alcohol volume remains at 40.5 mL.

To find the final volume of the solution and the amount of water needed, we use the formula for the final concentration: Final Concentration = (Volume of Solute) / (Final Volume of Solution). Substituting the given and desired values gives us 30% = 40.5 mL / (90 mL + x).

Rearranging and solving for x gives: x = (40.5 / 0.3) - 90 = 135 - 90 = 45 mL. Therefore, 45 mL of pure water must be added to the original solution to get a 30% alcohol solution.

In conclusion, adding 45 mL of pure water to the 90 mL of 45% alcohol mixture yields a total volume of 135 mL of the desired 30% solution.


Related Questions

Simplify
8(x + 6) - 10.

Answers

Answer:

8 x + 38 higher it is not available

Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 48 square feet and no bigger than 80 square feet. If the length is 2 feet more than the width, what are the range of possible values for the width?

Answers

Answer:

[tex]6\leq W\leq 8[/tex]

[tex]8\leq L\leq 10[/tex]

Step-by-step explanation:

Let the length of the rug be = L

Let the width of the rug be = W

Area =[tex]L\times W[/tex]

The length is 2 feet more than the width, so [tex]L=W+2[/tex]

Area = [tex](W+2)\times W[/tex]

= [tex]W^{2} +2W[/tex]

Now given is that the area of rug to be no smaller that 48 square feet and no bigger than 80 square feet.

This can be modeled as:

[tex]48\leq W^{2} +2W\leq 80[/tex]

Solving it separately:

[tex]48\leq W^{2} +2W[/tex]

=> [tex]0\leq W^{2}+2W \leq -48[/tex]

=> [tex]6\leq W[/tex]

[tex]W^{2} +2W-80\leq 0[/tex]

=> [tex]W\leq 8[/tex]

We have the following result:

[tex]6\leq W\leq 8[/tex]

And length will be :

[tex]6+2\leq L\leq 8+2[/tex]

[tex]8\leq L\leq 10[/tex]

The variable z is inversely proportional to x. When x is 4, z has the value 3.25. What is the value of z when x= 11? Round to at least the thousandths place if needed.

Answers

Answer:

1.182

Step-by-step explanation:

z is inversely proportional to x:

z = k / x

When x is 4, z is 3.25:

3.25 = k / 4

k = 13

When x = 11:

z = 13 / 11

z ≈ 1.182

Comparing decimals 0.49 to 0.94 is that equal ? or 0.94 more..?​

Answers

the simple fact that 94 is 49 backwards means nothing, anymore than say 001 and 100 are equal quantities or related other than in the digits.

so, 0.49 or 49/100 and 0.94 or 94/100, are two values, both are at the one hundredth level, so to see who is larger, we can nevermind the 100 and look at the numerator, 94 is clearly much larger than 49.

Create a mapping diagram of the relation. Define the domain and range. Tell whether the relation is a function. For both.

Answers

ANSWER

For the first relation the ordered pairs are:(-2,-5),(-2,3),(1,-1),(2,3),(6,2)The domain refers to set of x-values of the relation.Domain: {-2,1,2,6}Range {-5,-1,2,3}Range refers to the set of all y-values of the relation.This relation is not a function because -2 alone has two different y-coordinates which are -5 and 3.For the second relation, the ordered pairs are: (-5,-4), (-3,-2), (-2,1),(0,2),(2,1),(3,0)Domain: {-5,-3,-2,1,0,2,3}Range:{-4,-2,0,1,2}This relation is a function because no x-value maps on to more than one y-value.For a mapping diagram, the set of all the x-coordinates form the domain and the corresponding y-coordinates are in the RangeSee attachment for the mapping diagram s.

The cycling tour has 340 bottles of water for each week.there are 10 people on the tour. How many bottles of water is that for each person per week

Answers

Answer:

34 bottles per person per week

Step-by-step explanation:

1) identify info: The cycling tour has 340 bottles of water for each week.there are 10 people on the tour.

2) compile info: 340 bottles for 10 people per week

3) calculate: bottles per person = 340/10 = 34 bottles per person each week

Final answer:

The question asks to figure out how many bottles of water each person on a cycling tour gets per week. By dividing the total bottles of water (340) by the number of people (10), we find that each person receives 34 bottles of water per week.

Explanation:

The question is asking us to determine how many bottles of water each person on the cycling tour gets per week. This involves division in mathematics as we are dividing the total number of water bottles by the number of people.

To solve such problems, we start with the total amount given, which is 340 bottles of water here. Then, we divide this total by the number of individuals, which is 10 people in this case. So, the calculation becomes 340 bottles ÷ 10 people.

This calculation gives us 34 bottles. Hence, each person on the cycling tour gets 34 bottles of water per week.

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Help please I don’t understand at all

Answers

Answer:

6% ( to nearest percent )

Step-by-step explanation:

The percentage change is calculated as

[tex]\frac{change}{original}[/tex] × 100%

Change = 90 - 85 = 5, hence

percent change = [tex]\frac{5}{85}[/tex] × 100% = [tex]\frac{5(100)}{85}[/tex] = 6%

Hello dear

Answer:

Here, you have to calculate the percentage(%) of change.

To calculate this, you have to use this formula-:

[tex] { \bold{\mathfrak{\frac{change}{new} \times 100}}}[/tex]

Step-by-step explanation:

[tex] = \frac{5}{90} \times 100[/tex]

[tex] = \frac{50}{9 }[/tex]

[tex] = 5.55555[/tex]

Now, you have to round of this percentage to the nearest....

And that will be => 6%.

Follow me,I will help you in the best way I can

Mark my answer as brainliest

Find the slope of the line

Answers

Slope is -3/4
It goes down three and goes right four
The slope is -3/4 because y is -3 and 4 is x

(x²-2xy+y²)+(x²+2xy+y²)=?

(x²-2xy+y²)-(x²+2xy+y²)=?

Answers

Answer:

See below in bold.

Step-by-step explanation:

(x²-2xy+y²)+(x²+2xy+y²)

= x²-2xy+y²+ x²+2xy+y²

= 2x² + 4xy + 2y².

(x²-2xy+y²)-(x²+2xy+y²)

= x²- 2xy + y²- x² - 2xy - y²

= -4xy.

Answer:

2

Step-by-step explanation:

If the constant of proportionality is k then,

y=kx

What number do we multiply by x to get y?

The constant of proportionality is 2.


Sarah needs 10 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.50. How much will the fabric
cost?
[1 ft = 0.305 m]

A.$49.18
B.$2.03
C.$21.86
D.$4.58​

Answers

Hello!

The answer is:

The fabric will cost $4.58

D.$4.58

Why?

Since it's a conversion exercise, we need to pay special attention to the conversion procedure.

From the statement we know that:

[tex]1ft=0.305m[/tex]

So, if she needs 10 feet of fabric, we need to convert it to meters, and then, calculate its cost.

We have that:

[tex]10*1ft=10*0.305m\\\\10ft=3.05m[/tex]

Now, we have that each meter of fabric cost $1.50, so, 3.05m of fabric will cost:

[tex]\frac{1m}{1.50(dollars)}=\frac{3.05m}{cost}\\\\cost=\frac{3.05m*1.50(dollars)}{1m}=4.575(dollars)=4.58(dollars)[/tex]

Hence, we have that the cost of the fabric will be $4.58.

The correct option is: D.$4.58​

Have a nice day!

Answer:

Sarah will need $4.58 for the fabric. therefor, your answer will be...

D: $4.58

What equation is the inverse of y = 7x2 – 10?

Answers

Y= Square root of ((x+10)/7)

Options for 1st Question: increasing, decreasing, constant

Options for 2nd Question: -3 < x < 0, -7 < x < -3, -9 < x < -7

Options for 3rd Question: (-5,8) , (-5, -8) , (5,-8)

Answers

1. constant

2. -7 < x < -3

3. (-5,8)

What polynomial is equivalent to (x-4)(3x^2-x+3)?

Answers

Answer:

3x³ - 13x² + 7x - 12

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x(3x² - x + 3) - 4(3x² - x + 3) ← distribute both parenthesis

= 3x³ - x² + 3x - 12x² + 4x - 12 ← collect like terms

= 3x³ - 13x² + 7x - 12

what is the radius of a circle with an area of 64 sq feet

Answers

radius= 1/2 • diameter
area of a circle = pie r^2 or (3.14 • radius^2 so u need the diameter this question needs more info

For this case we have that by definition, the area of a circle is given by:

[tex]A = \pi * r ^ 2[/tex]

Where:

r: It is the radius of the circle

How do we have to:

[tex]A = 64 \ ft ^ 2[/tex]

So:

[tex]64 = \pi * r ^ 2[/tex]

We take[tex]\pi = 3.14[/tex]

[tex]r ^ 2 = \frac {64} {3.14}[/tex]

We apply square root:

[tex]r = \pm \sqrt {\frac {64} {3.14}}[/tex]

We choose the positive value:

[tex]r = 4,515[/tex]

If we round we have that the radius is 4.5 feet.

Answer:

4.5 feet

For f (c)=2x+1 and g(x)=x^2 - 7 find (f-g)(x)

Answers

Answer:

[tex]\large\boxed{D.\ -x^2+2x+8}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=2x+1,\ g(x)=x^2-7\\\\\text{substitute:}\\\\(f-g)(x)=(2x+1)-(x^2-7)=2x+1-x^2-(-7)=2x+1-x^2+7\\\\=-x^2+2x+(1+7)=-x^2+2x+8[/tex]

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $18.90 per pound should be mixed with 22 pounds of trail mix costing $3.30 per pound to create a mixture worth $8.50 per pound.

The owner needs to mix _________ pounds of chocolate (round to the nearest whole pound - NO COMMAS).

Answers

Answer:

The owner needs to mix 11 pounds of chocolate

Step-by-step explanation:

Let

x ----> the number of pounds of chocolate needed

we know that

The linear equation that represent this problem is equal to

[tex]18.90x+3.30(22)=8.50(x+22)[/tex]

solve for x

[tex]18.90x+72.6=8.50x+187[/tex]

[tex]18.90x-8.50x=187-72.6[/tex]

[tex]10.4x=114.4[/tex]

[tex]x=114.4/10.4[/tex]

[tex]x=11\ pounds[/tex]

Roopesh has $24 dollars to spend on a birthday gift. The store where he is shopping has a sale offering $5 off the regular price, r, of any item. Write an inequality that can be used to determine the regular price of an item in the store that Roopesh can afford. (Assume there is no tax.)

What is the unknown?



Which expression can represent the sale price?



Which comparison could be used?



Which inequality represents the situation?



Answers

Answer:

r ≤ 29, r-5, The sale price can be compared with the regular price, r-5 ≤ 24

Step-by-step explanation:

Amount to spend = $24Regular price = rSale = $5Sale Price = r-5

The regular price will be at most $5 more than the amount Roopesh has to spend.

The sale price will be $24 or less than that for Roopesh to afford.

Inequality for regular price :

r-5 ≤ 24

r ≤ 29

Therefore, the product Roopesh can afford is $29 or less than that.

What is the unknown? r ≤ 29Which expression can represent the sale price? Sale price = r-5 (mentioned above)Which comparison could be used? The sale price can be compared with the regular priceWhich inequality represents the situation? r-5 ≤ 24

!!

A tank holds 17 3/5 gallons after losing 36 2/3 gallons, 4 5/6 gallons,and 27 1/12 gallons in 3
Consecutive days. If at the beginning the tank was 20 3/4 gallons short of capacity. What is the capacity of the tank? NEED HELP PLSSS ASAP

Answers

Answer:Maybe if you studded you would have the answer young man

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that A tank holds 17 3/5 gallons after losing 36 2/3 gallons, 4 5/6 gallons,and 27 1/12 gallons in 3

Consecutive days. If at the beginning the tank was 20 3/4 gallons short of capacity.

Tank full capacity = loss for 3 days + holding of tank after losing + shortage of capacity

To add these first let us convert these into improper fractions, then take lcd to add

Full capacity = [tex]\frac{88}{5} +\frac{110}{3} +\frac{29}{6} +\frac{325}{12} \\=\frac{88}{5} +\frac{440+58+325}{12} \\=\frac{1056+4115}{60} =[/tex][tex]=86.183[/tex] gallons

Find the value of x if A, B, and C are collinear points and B is between A and C.
AB=5x−1,BC=14,AC=25−x

Answers

Answer:

x = 2

Step-by-step explanation:

Collinear means that the points A, B and C all lie in a straight line, hence

AB + BC = AC, substitute values

5x - 1 + 14 = 25 - x

5x + 13 = 25 - x ( add x to both sides )

6x + 13 = 25 ( subtract 13 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Answer:

The value of x is:

                     [tex]x=2[/tex]

Step-by-step explanation:

Three points are said to be collinear if they lie along a straight line.

Also, it is given that:

Here A, B, and C are collinear points and B is between A and C.

This means that:

           [tex]AB+BC=AC-----------(1)[/tex]

Also we are given:

[tex]AB=5x-1,\ BC=14,\ AC=25-x[/tex]

Using property (1) we have:

[tex]5x-1+14=25-x\\\\i.e.\\\\5x+13=25-x[/tex]

Now on adding x on both the side of the equation we have:

[tex]5x+13+x=25\\\\i.e.\\\\5x+x+13=25\\\\i.e.\\\\6x+13=25[/tex]

Now on subtracting 13 on both the sides of the equation we have:

[tex]6x=25-13\\\\i.e.\\\\6x=12\\\\i.e.\\\\x=\dfrac{12}{6}\\\\i.e.\\\\x=2[/tex]

Which one of the numbers does not belong in the following series: 100-50-52-26-28-12-16-8-10

Answers

Answer:

The 12 ( after 28) should be 14.

This 12 does not belong to the series.

Step-by-step explanation:

After every 2 numbers,  2 is added to the last number, so we have 100-50 + 2 = 52 - 26, and the second of the paired numbers is 1/2 of the first.

So after  28 the numbers should be 14 - 16 - 8 - 10.  The 12 does not belong.

What is the length of line segment AD?
8 units
14 units
22 units
36 units

Answers

Answer:

22

Step-by-step explanation:

With a kite, the top 2 segments are always equal, and the bottom 2 segments are always equal. Also, if you look at the little red lines on the sides, you can see that AD and CD have 2, that means they are the same length

(Also can you please rate this answer as brainliest? I need it to level up.)

Answer:

22 units

Step-by-step explanation:

AD = CD because the two little line marks means they are equal to each other

AD = 22


9. Which of the following do you need to know to determine the surface area and volume of a sphere?


A. The radius of the sphere
B. The eccentricity of the sphere
C. The circumference of a great circle on the sphere
D. The radius and eccentricity of the sphere

Answers

Answer:

A: radius of the sphere

Step-by-step explanation:

The formula for surface area is A = 4πr^2

With r being the radius and A the surface area.

For volume it is

V= (4/3)πr^3

to determine the surface area and volume of sphere A: the radius of the sphere is required.

The formula for surface area is A = 4πr^2

With r being the radius and A the surface area.

For volume it is

V= (4/3)πr^3

How do you find the radius of the sphere?

The radius is half the diameter, so we use the equation r = D / 2. This is the same method used to calculate the radius from the diameter of a circle. If you have a sphere with a diameter of 16 cm, divide 16/2 to find the radius to make it 8 cm. If the diameter is 42, the radius is 21.

A sphere is defined as a set of all points in distant 3D Euclidean space. ("Radius") From a specific point ("center"). Twice the radius is called the diameter, and the pair of points on the sphere on the opposite side of the diameter is called the antipodes.

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Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents the weekly weed growth: f(x) = 86(1.29). Rewrite the function to show how quickly the weeds grow each day.

A.f(x) = 86(1.04)*; grows approximately at a rate of 0.4% daily

B.f(x) = 86(1.04)7%, grows approximately at a rate of 4% daily

C.f(x) = 86(1.29)7%; grows approximately at a rate of 20% daily

D.f(x) = 86(1.297); grows approximately at a rate of 2% daily​

Answers

Answer:

Option A. [tex]f(x)=86[1.04]^{x}[/tex] ; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

we have

[tex]f(x)=86(1.29)^{x}[/tex]

where

f(x) the number of weeds in the garden

x ----> the number of weeks

Calculate how quickly the weeds grow each day

Remember that a week is equal to seven days

so

[tex]f(x)=86(1.29)^{\frac{x}{7}}[/tex]

Using the law of exponents

b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

so

[tex]f(x)=86[(1.29)^{\frac{1}{7}}]^{x}[/tex]

[tex]f(x)=86[1.04]^{x}[/tex]

therefore

The rate is approximately

1.04=1+r

r=1.04-1=0.04=4% daily

not sorry, but guy above is w.r.o.n.g

0.4 ain't right

yw for saving you an attempt

Select the statement that correctly describes the expression below.
(x - 5)(x + 3)
OA. the product of the difference of x and 5 and the sum of x and 3
OB. the difference of x and the product of 5 and the sum of x and 3
OC. the sum of 3 and the product of x and the difference of x and 5
OD.
the product of the difference of x and 3 and the sum of x and 5

Answers

A. the product of the difference of x and 5 and the sum of x and 3.

Not really sure how I should explain this because the answer is just the expression in word form.

The expression (x - 5)(x + 3) correctly corresponds to 'the product of the difference of x and 5 and the sum of x and 3', matching option OA.

The expression (x - 5)(x + 3) is the product of two binomials: the first binomial is the difference of x and 5, and the second binomial is the sum of x and 3. Therefore, the correct description of the expression is 'the product of the difference of x and 5 and the sum of x and 3', which corresponds to option OA. This understanding illuminates how binomials are multiplied and underscores the significance of recognizing the individual terms within the expression to comprehend its meaning and structure effectively.

what is the sum of the product of a and b and the number c? write as an expression

Answers

Step-by-step explanation:

The sum of the product of a and b and the number c:i

[tex]a\cdot b+c=ab+c[/tex]

Final answer:

The sum of the product of a and b and the number c, written as a mathematical expression, is ab + c.

Explanation:

The question is asking for the sum of the product of a and b and the number c. In mathematical terms, this can be written as an expression: ab + c. This expression first calculates the product of a and b (represented by 'ab') then adds the number c to this product.

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The graph of the equation below is a circle. What is the length of the radius of
the circle?
(x + 5)2 + (y + 7)2 = 212
O A. 441
O B. 42
O C. 10.5
O D. 21​

Answers

Answer:

D. 21.

Step-by-step explanation:

The general form of the equation of a circle is:

(x - a)^2 + (y - b)^2 = r^2  where r is the radius.

Comparing:

(x + 5)^2 + (y + 7)^2 = 21^2

So r^2 = 21^2

making r = √21^2

= 21.

The length of the radius of the circle is 21.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Standard form of a circle is given by the equation,

(x - h)² + (y - k)² = r²

where, (h, k) is the center of the circle and r is the radius of the circle.

Here, given equation is,

(x + 5)² + (y + 7)² = 21²

Comparing this with the standard form,

(-5, -7) is the center and 21 is the radius.

Hence the correct option is D. 21.

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6. PATTERNS Complete the pattern: 5, 7,
10, 14,​

Answers

Answer:

19 is the next number

Step-by-step explanation:

5+2=7

7+3=10

10+4=14

14+5=19

The next number in the pattern is 19.

To complete the number pattern 5, 7, 10, 14, we observe that the differences between the numbers increase by 1. Continuing this pattern, we add 5 to the last number, which results in 19. Thus, the next number in the pattern is 19

To complete the given number pattern: 5, 7, 10, 14, we need to find the rule that governs the pattern. Let's look at the differences between the numbers:

7 - 5 = 210 - 7 = 314 - 10 = 4

We can see that the differences are increasing by 1 each time. If this pattern continues, the next difference should be 5. So we add 5 to the last number in the pattern:

14 + 5 = 19

Therefore, the next number in the pattern is 19.

The stairway shown is made out of solid concrete. The height of each step is four inches and the width is 10 inches. The length is 6 inches. What is the volume, in cubic inches, of the concrete used to create this stairway?

Answers

Answer:

The volume of the stairway is

720 cubic inches

Step-by-step explanation:

we know that

The volume of the stairway is equal to the volume of two rectangular prism

The volume of the rectangular prism is equal to

[tex]V=LWH[/tex]

Find the volume of the larger rectangular prism

we have

[tex]L=6\ in[/tex]

[tex]W=10\ in[/tex]

[tex]H=4+4=8\ in[/tex]

substitute

[tex]V=(6)(10)(8)=480\ in^{3}[/tex]

Find the volume of the smaller rectangular prism

we have

[tex]L=6\ in[/tex]

[tex]W=10\ in[/tex]

[tex]H=4\ in[/tex]

substitute

[tex]V=(6)(10)(4)=240\ in^{3}[/tex]

Find the volume of the stairway

Adds the two volumes

[tex]V=480+240=720\ in^{3}[/tex]

Answer:

Option B

Step-by-step explanation:

We have to calculate the volume of concrete used to create the stairway given in the picture.

Volume of the stairway = volume of small stairway + volume of larger stairway

Dimensions of Large stairway = 10 in × 6 in × (4+4)in

                                                 = 10 in × 6 in × 8 in.

Therefore, volume of large stairway = 480 in³

Dimensions of small stairway = 10 in × 6 in × 4 in

                                                = 240 in³

Total volume = 480 + 240

                     = 720 in³

Option B is the answer.

Find the volume of the cone. Round your answer to the nearest hundredth.
A.
32.05 cubic feet
B.
38.39 cubic feet
C.
56.54 cubic feet
D.
100.69 cubic feet

Answers

Answer:

V=100.63 cubic feet

Step-by-step explanation:

The formula for the volume of the cube is given as

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

Where r=4.3 ft

And h is height = 5.2 ft

Now we put the value of h and r in the formula for volume

[tex]V=\frac{1}{3}\times \pi \times 4.3^{2} \times 5.2[/tex]

[tex]V=\frac{1}{3}\times \pi \times 96.148[/tex]

[tex]V=\frac{1}{3}\times 3.14 \times 96.148[/tex]

[tex]V=\frac{1}{3}\times 301.904[/tex]

V=100.63 cubic feet

Final answer:

To compute the volume of a cone, one needs to use the formula 1/3πr²h, where 'r' represents the radius of the base and 'h' represents the height of the cone. The specific dimensions of the cone are needed to provide a concrete answer. The given options can't be validated without these details.

Explanation:

Without specific parameters such as the radius and height of the cone, we cannot directly calculate the volume of the cone. However, the general formula for finding the volume of a cone is 1/3πr²h, where r represents the radius of the base and h represents the height of the cone. This formula is derived from the geometric principles of a cone's structure. Once the values of r and h are known, they can be substituted into this formula to compute the volume. The answer would then be rounded to the nearest hundredth if necessary. Unfortunately, the choices provided A.32.05 cubic feet, B.38.39 cubic feet, C.56.54 cubic feet, D.100.69 cubic feet aren't helpful without knowledge of the specific cone dimensions.

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MATHS HELP PLEASE!!!!

Can anyone help me with question 1????

Answers

Each centimeter is three people so you just have to count the centimeter and multiply that by three to get the answer
Math 9 friends
History 6 friends
Eng/sci 15 friends

Answer: For part A, Yakob has 9 friends that like Maths best, 6 friends that like History the best, & 15 friends that prefer either English or Science the best.

Part B: There's a graph I made below.

Step-by-step explanation:

You have to use proportions to answer this question. The bar graph is 10 cm total, therefore it is proportional to the 30 friends that Yakob has in total. After that, you can make proportions out of the data in the chart. For example, History is 2 cm out of the 10 cm total. Think proportions! You had to multiply 3 to 10 to get 30, so you have to apply the same thing to the numerator. In this case, multiply 3 to 2 and you'll get 6. 2/10=6/30! I repeated that for the rest and put it into a graph. The prompt wanted you to combine English and Science, so I did that after separately making their proportions. Hope this helps!

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