Find the unknown: 4:2:3 = x : 18: 27​

Answer:

C, $3,555.63

Step-by-step explanation:

to answer this, we have to use the compound interest formula which is:

A = P(1 + r/n)^nt

the meanings of each variable are:

A = result

P = principal amount

r = rate (in decimal form)

n = the number of compound periods (eg: annually, quarterly, etc)

t = time

in the word problem, we need to solve for A. we are given P, r, n, and t.

P = 2,400

r = 0.0395 also known as 3.95%

n = 4 keyword being quarterly which is equal to the value of 4

t = 10

we can plug these values into the formula:

A = 2400(1 + 0.0395/4)^(4)(10)

we can use a calculator to calculate this easier but ill break it down:

A = 2400(1 + 0.0395/4)^(4)(10)

A = 2400(1 + 0.0395/4)^40

A = 800(1.009875)^40

A = 2400(1.48151088)

A ≈ 3555.626

we can round 3555.626 to the nearest hundredth which is $3555.63

you would have earned $3555.63 in 10 years

our answer would be C

y = 3x + 2

When you graph this line, it goes across every single point, so it is the line of best fit. See the attached graph.

Answer:

6 < n < 56

Step-by-step explanation:

Let's translate that into a symbolic relationship:

1 < (56/n) < 7

This produces two inequalities to be solved:  1 < (56/n) and (56/n) < 7.

Dividing both sides of (56/n) < 7 by 7 results in (6/n) < 1

which can be rewritten as 6 < n or n > 6.

Multiplying both sides of 1 < (56/n) by n results in n < 56.

There's no one solution.  Rather, the solution set is 6 < n < 56.

The solution set is 8 < n < 56 for number so 56 divide n is greater than 1 but less than 7

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given,

a number so 56 divide n is greater than 1. But less than 7

56/n>1

56/n < 7

This sentence can be written as

1 < (56/n) < 7

Two inequalities to be solved:  

1 < (56/n) and (56/n) < 7.

n<56 and 56/7<n

n<56 and 8<n

Dividing both sides of (56/n) < 7 by 7 results in (8/n) < 1

which can be rewritten as 8 < n or n > 8.

Multiplying both sides of 1 < (56/n) by n results in n < 56.

There's no one solution.  

Hence, the solution set is 8 < n < 56.

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Answer:

y=-5x-2

Step-by-step explanation:

y=mx+b

where m is the slope

y=-5x+b

to solve for b, which is the y intercept, plug in (1,-7)

-7=-5(1)+b

-7=-5+b

-2=b

y=-5x-2

Answer: 4.7

Step-by-step explanation:

Answer:

11 : 15

Step-by-step explanation:

Given

$5.5 : 7.5 ← divide both parts by 5

= 1.1 : 1.5 ← multiply both parts by 10

= 11 : 15 ← in simplest form

Answer:

[tex]\large\boxed{4x^2y(-2x^2y)=-8x^4y^2}[/tex]

Step-by-step explanation:

[tex](4x^2y)(-2x^2y)=(4\cdot(-2))(x^2\cdot x^2)(y\cdot y)=-8x^4y^2[/tex]

The product of 4x3y and -2x2y is -8x5y2, found by multiplying coefficients and adding exponents.

The question is asking us to multiply two algebraic expressions together, namely 4x3y and -2x2y. When multiplying algebraic expressions, you multiply the coefficients together and add the exponents of like variables. The coefficient of the first expression is 4 and the coefficient of the second expression is -2. Multiply these two together gives -8. The first expression has x raised to the power of 3 and the second has x raised to the power of 2. Add these exponents together gives x raised to the power of 5. Similarly, both expressions have y with exponent 1, two of them give y squared. Hence, the product of 4x3y and -2x2y is -8x5y2.

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Answer is 25.6 you just put the numbers and multiply them and then add them

Answer:

12+4/8

Step-by-step explanation:

sum means add and you need to divide 8 by whatever 12 and 4 equal

12+4= 16

16/8=2

2

For this case we must represent the expression given above algebraically.

We have that the sum of 8 and 12 is represented as:

[tex]8 + 12[/tex]

We must divide the sum by 4:

[tex]\frac {8 + 12} {4} =\\\frac {20} {4} =\\5[/tex]

Finally, the result of the expression is 5.

ANswer:

5

Answer:

3 square units

Step-by-step explanation:

The formula is 1/2*b*h. You plug in and solve 1/2*10*3/5.

Answer

$1.38

OR 11.5 cents per bag

Ok lets start

the bulk chips has a total of 10.50

the individual cost 0.99 each

Multiply 0.99 by 12 so everything is fair

0.99 x 12 =11.88

The bulk chips ae 10.50

To find the difference we subtract

10.50 from 11.88  (remember, 10.50 is the cost of buying in bulk!)

11.88-10.50 = 1.38

divide 1.38 by 12

We save $1.38 by buying in bulk or

11.5 cents per bag by buying bulk

Hope this answers your question,

~Jeron

Answer:

Step-by-step explanation:

Given that the bulk chips has a total of 10.50

The individual cost 0.99 each

To compare both

Multiply 0.99 by 12

[tex]0.99 x 12 =11.88[/tex]

The bulk chips ae 10.50

11.88 is more than 10.50

Hence purchasing in bulk is cheaper by 1.38 dollars.

To find the difference we subtract

10.50 from 11.88

[tex]11.88-10.50 = 1.38[/tex]

Answer:

I would say B

Hope This Helps!   Have A Nice Day!!

Answer: IT Is Not B !

Step-by-step explanation:

Answer:

a) $1850

b) 3.7%

Step-by-step explanation:

a) This is a straight calculation based on the description in the problem statement.

2%×$50,000 +850 = $1000 +850 = $1850

__

b) To find the percentage of income saved, find the ratio of savings to income and multiply that by 100%.

$1850/$50,000×100% = 3.7%

Answer:

Part A: $1850

Part B : 3.7%

Step-by-step explanation:

Due to temporary tax cuts in 2010, a person with typical deductions earning $50,000 per year would have saved 2% of their income plus $850 in federal taxes.

Part A:

Total savings will be = [tex](0.02\times50000)+850[/tex]

= [tex]1000+850=1850[/tex] dollars

Part B:

The percent did this person save on her income will be = [tex]\frac{1850}{50000}\times100= 3.7[/tex]%

Answer:

H'(15, - 7)

Step-by-step explanation:

Given the translation < 10, - 11 >

Add 10 units to the x- coordinate of H and subtract 11 units from the y- coordinate of H, that is

H(5, 4) → H'(5 + 10, 4 - 11) → H'(15, - 7)

H’(15;-7) is my answer for your question

Answer:

a)

[tex]4x {}^{2} - 9 = (2x + 3)(2x - 3)[/tex]

b) g - 3m = am + 5

am + 3m = 5 - g

m (a + 3) = 5 - g

m =

[tex] \frac{5 - g}{a + 3} [/tex]

Step-by-step explanation:

[tex]a {}^{2} - b {}^{2} = (a + b)(a - b)[/tex]

Answer:

see explanation

Step-by-step explanation:

(a)

4x² - 9 ← is a difference of squares which factors in general as

a² - b² = (a + b)(a - b)

4x² = (2x)² ⇒ a = 2x and 9 = 3² ⇒ b = 3, thus

4x² - 9 = (2x + 3)(2x - 3)

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

(b)

g - 3m = am + 5 ( collect the terms in m together )

Add 3m to both sides

g = am + 3m + 5 ( subtract 5 from both sides )

g - 5 = am + 3m ← factor out m from each term

g - 5 = m(a + 3) ← divide both sides by (a + 3)

m = [tex]\frac{g-5}{a+3}[/tex]

Answer:

see explanation

Step-by-step explanation:

Since the 2 figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{8}{x}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )

18x = 48 ( divide both sides by 18 )

x = [tex]\frac{48}{18}[/tex] = [tex]\frac{8}{3}[/tex] = 2 [tex]\frac{2}{3}[/tex]

Similarly

[tex]\frac{5}{y}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )

18y = 30 ( divide both sides by 18 )

y = [tex]\frac{30}{18}[/tex] = [tex]\frac{5}{3}[/tex] = 1 [tex]\frac{2}{3}[/tex]

Answer:

1. 2

2. 10

3. 144

The area of a triangle △ABC with side lengths a, b, c and height h is shown to be equal to 1/2 ab sin C using the triangle area formula, definition of sine in right triangles, multiplication property of equality and commutative property of multiplication.

In the triangle ​△ABC ​ with side lengths a, b, and c, and height h, we can start with the triangle area formula, which is Area = 1/2 bh. Here, h denotes the height of the triangle, which when drawn from the angle C would be adjacent to the angle while b represents the side that is opposite to the angle C. By the definition of sine in right-angled triangles, sin C = h/a. Now, we can use the Multiplication Property of Equality to write asinC=h. Mixing the given formula of the area with this equality, we get Area=1/2 ba sin C. As the multiplication is commutative, we can re-write this as Area = 1/2 ab sin C.

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To prove the area of a triangle, use the formula 1/2 base × height and substitute sin C with h/a.

To prove that the area of △ABC is equal to 1/2 ab sin C, we can use the formula for the area of a triangle: Area = 1/2 base × height. In this case, the base is b and the height is h, so the area is 1/2 bh. We also know that sin C = h/a, so we can substitute h/a for sin C in the area formula to get Area = 1/2 ab sin C.

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Answer:

200ml of toothpaste for 50p

Step-by-step explanation:

200/50=4

and

400/90=4.4444444444444444 (4.45 rounded up)

So, you would be getting more bang for your buck with 200ml for 50p

Hope this helps!

D, C, 432, 3112, and C :)

Hello! :)

While they don't give nearly enough information on sampling size to be credible data or how many kids vs how many adults, the simplistic answer is (B) a greater percentage of kids experienced side effects among their peers than the adults among their peers.  The sneaky thing about statistics is you can make the data say anything you want. 

Hope I helped and answered in time!

Good luck!

~ Destiny ^_^

A greater percentage of kids experienced side effects among their peers than the adults among their peers.

The relative frequency helps us to see the number of the population studied that can be associated with a particular class.

From the relative frequency table, we can see that; a greater percentage of kids experienced side effects among their peers than the adults among their peers.

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Answer:

The unit price for the 7.03 kg bag is about $1.78 per kg. The unit price for the 7.98 kg bag is about $1.83 per kg. The 7.03 kg is a better deal because you pay less per kg.

Step-by-step explanation:

1) To find the unit price, you need to find the price per unit. The unit here being kg. So, you need to divide the price by the number of units.

2) Here is this written out...

7.03 kg bag:

$12.53 / 7.03 kg = 1.78236130868 dollars per kg, or about $1.78 per kg

7.98 kg bag:

$14.64 / 7.98 kg = 1.83458646617 dollars per kg, or about $1.83 per kg

3) As you can see, if Joe purchases the 7.98 kg bag of dog food, he is paying more for every kg of dog food than if he were to purchase the 7.03 kg bag of dog food. This makes the 7.03 bag of dog food a better deal.

Hopefully this helps.

The unit price for the first bag of dog food is $1.78/kg, and the unit price for the second bag is $1.83/kg. Therefore, the first bag is cheaper and thus the better buy based on unit price.

To find the unit price of the dog food, we need to divide the total cost of the bag by its weight. For the first bag, we take the total cost of $12.53 divided by its weight of 7.03 kg. For the second bag, we take the total cost of $14.64 divided by its weight of 7.98 kg.

For example, using these calculations, the unit price for the first bag is $1.78/kg and the unit price for the second bag is $1.83/kg .

Therefore based on unit price, the first bag of dog food is the better buy as it is cheaper per kilogram.

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Answer:

797

Step-by-step explanation:

Answer:

C) Regular Octagon.

Step-by-step explanation:

First let's see what a tessellation is.

Tessellation is a floor made by regular types of tiles without overlapping and gap.

We cannot use all shape of tiles to tessellate a plane.

We are given Regular pentagon, irregular triangle and regular octagon.

The pentagon has 5 sides, all sides are in the same length. We cannot tessellate a plane using pentagon.

The second figure is a irregular triangle, we cannot make tessellate a plane using irregular shapes.

The third figure is a regular octagon. We can tessellate a plane using a regular octagon.

Therefore, answer is C) Regular Octagon.

Answer:

I don't know if this is right but I hope it helped

Step-by-step explanation:

5-2+9-8

3+1

4

Answer:

4

Step-by-step explanation:

5-2+9-8

3+9-8

12-8

4

hope it helped :)

So a basic function is y=mx+b where m is a rate and b is the constant. His goal is 150 so y is 150 and the rate of his baking is 16 so m is 16, finally he has already 22 done so 22 remains constant. Plugging all these in you should get the following equation:

150=16x+22

Final answer:

Hou's goal is to bake at least 150 cookies, and he has already baked 22. If he bakes an average of 16 cookies every half hour, the equation representing the total cookies baked is Cookies baked = 16t + 22. The inequality to ensure he meets his goal is 16t + 22 >= 150.

Explanation:

Hou has set a goal to bake 150 cookies for a fundraiser and has already baked 22 cookies. He averages about 16 cookies every half hour. To represent this situation mathematically, we can use an equation related to the number of cookies baked over time.

Let's define the variable t to represent the number of half-hour segments Hou bakes. The total number of cookies Hou will have baked after t half-hour segments can be calculated by multiplying the number of segments by the average number of cookies baked in each half-hour segment and then adding the 22 cookies already baked.

The equation representing this situation is:

Cookies baked = 16t + 22

Hou's goal is to bake at least 150 cookies, so we create an inequality to represent the situation:

16t + 22 ≥ 150

Answer:

The value of b is 55

The value of c is 28

The expression for the height of the ball at time t is h(t) = -16t² + 55t + 28

Step-by-step explanation:

* Lets discus the situations in the problem

- The ball was lunched up from a tower of height 28 feet above

  the ground

∴ The initial height = 28 feet ⇒ (initial means time is zero)

- The ball launched with an initial velocity 55 feet/second

∴ The initial velocity = 55 feet/second ⇒ (at t = 0)

- The equation of the height of the ball after t second is:

  h = ut + 1/2 at² + hi, where u is the initial velocity, a is the acceleration of

  gravity, t is the number of seconds since the ball was lunched

  hi is the initial height which the ball was lunched from it  and h is the

  height above the ground

∵ The ball was lunched up

∴ The gravity acceleration is -16 feet/second²

∵ The initial velocity is upward

∴ u = 55 feet/second

∵ The tower is 28 feet above the ground

∴ hi = 28 feet

- Substitute these values in the equation

∴ h = 55t + 1/2(-32)t² + 28 ⇒ simplify

∴ h = 55t - 16t² + 28 ⇒ start with t²

∴ h = -16t² + 55t + 28

* Now compare between the two equation

∵ h = -16t² + bt + c

∵ h = -16t² + 55t + 28

∴ b = 55 ⇒ coefficient of t

∴ c = 28

∴ h(t) = -16t² + 55t + 28

Answer:

The largest Common Factor of 12,18 and, 21 is 3

Answer:

5/6

Step-by-step explanation:

Only 5 is not divisible by 12

Answer:

I just took my math test and used the answer already provided which came up as wrong, the correct answer is 1.250. Sorry I don't know how to get to the answer.

A ratio shows us the number of times a number contains another number. The size of unknown scale size will be 1.25.

A ratio shows us the number of times a number contains another number.

As it is given the size of the first row is 1.954, while the size of the second row is 1.563. therefore, the ratio of the first row to the second row will be,

[tex]\rm \dfrac{First\ row}{Second\ row} = \dfrac{1.954}{1.563}\\\\\\\rm \dfrac{First\ row}{Second\ row} =1.25[/tex]

Similarly, if the ratio of the second row and the third row is taken then the size of the third row can be written as,

[tex]\rm \dfrac{Second\ row}{Third\ row} =1.25\\\\\\\rm \dfrac{1.563}{Third\ row} =1.25\\\\\\Third\ row=1.2504 \approx 1.25[/tex]

Similarly, if the ratio of the third row and the fourth row is taken to verify the ratio, we will get,

[tex]\rm \dfrac{Third\ row}{Fourth\ row} = \dfrac{1.25}{1}\\\\\\\rm \dfrac{Third\ row}{Fourth\ row} = 1.25[/tex]

Thus, the size of unknown scale size will be 1.25.

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which is the radius and which one is the hieght??