how can u use volume and surface area to solve real world problems

Answer:

2*2*9+4*12*3=36+144=180

Step-by-step explanation:

Answer: x = 10

Explanation: To solve this equation for x, we start by distributing the 2 through the parentheses on the left side.

So we have 2 times x which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.

Solving from here,

we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that x = 10.

We can check our answer by substituting a 10 back in for x in the original equation and we have 2(10 - 3) = 14.

10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.

Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $58 on one burrito platter and one taco platter. For a company meeting, she spent $90 on two burrito platters and one taco platter. How much does each type of platter cost?

The cost of each buritto platters is $ 32 and cost of each taco platter is $ 26

Let "a" be the cost of each burrito platters

Let "b" be the cost of each taco platters

Carmen spent $58 on one burrito bladder and one taco platter

Therefore we frame a equation as:

one burrito bladder x cost of each burrito platters + one taco platter x cost of each taco platters = 58

[tex]1 \times a + 1 \times b = 58[/tex]

a + b = 58 ---------- eqn 1

For a company meeting, she spent $90 on two burrito platters and one taco platter

two burrito platters x cost of 1 burrito platter + one taco platter x cost of 1 taco platter = 90

[tex]2 \times a + 1 \times b = 90[/tex]

2a + b = 90 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Subtract eqn 1 from eqn 2

2a + b -a - b = 90 - 58

a = 32

Substitute a = 32 in eqn 1

32 + b = 58

b = 26

Hence, cost of 1 burrito = $32  and the cost of 1 taco platter = $26

Answer:

10.44

Step-by-step explanation:

okay so percentages can be converted to decimals

to do this, you can either:

move the decimal space to the left twice

or

divide the percentage (in this case 58) by 100,

regardless you will get the same answer

58.0 → 5.80 → 0.58

now that you have 58% as a decimal, all you have to do is multiply it by 18

(0.58)(18) = 10.44

therefore, 58% of 18 is 10.44

Final answer:

To calculate 58% of 18, convert the percentage to a decimal (0.58) and multiply it by 18, resulting in 10.44.

Explanation:

To find what 58% of 18 is, we use the concept that 'percent' means 'per hundred' or 'out of 100'. So essentially, we need to find 58 out of every 100 parts of 18. This calculation can be represented by the mathematical expression 0.58 x 18 (since 58% as a decimal is 0.58). The steps to solve this are:

So, 58% of 18 is 10.44.

Answer:

X=89.4

Step-by-step explanation:

Answer:2.5 or 2 with the remainder of 20

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

If you are asking what 100 divided by 40 is, that is the answer. (I'm not really sure how to explain it. Just type in 100 divided by 40 into your calculator)

Hope this helps!

-Coconut;)

Answer:

Step-by-step explanation:

As we Know that formula for arithmetic sequence is

[tex]a_n=a_1+(d-1)[/tex]

and for geometric sequence is

[tex]a_n=a1*r^(n-1)[/tex]

So,

According to given conditions

     [tex]a+7d=a*r^5 (i)\\ a+19d=a*r^7 (ii)[/tex]

By dividing equation (i) and (ii)

Hence proved that

[tex]r^2=a+19d/a+7d[/tex]

Good morning,

Answer:

[tex]\frac{\sqrt{3} }{2} a[/tex]

Step-by-step explanation:

h = altitude

side = a

using Pythagorean theorem: in the right triangle:

h² = a² - (a/2)²

    = a² - a²/4

    = 3/4a²

    = [(√3/2)×a]²

⇒ h = (√3/2)×a.

:)

After deducting Linda's $1,000 deductible and 20% coinsurance from her total medical bills, the insurance company paid $4,360 for the year.

Linda's health insurance policy has a deductible of $1,000, meaning that amount will have to be paid out of her pocket before the insurance starts to cover. In addition, the policy has 20% coinsurance, which means Linda is responsible for 20% of the remaining healthcare costs after the deductible is met.

First, calculate the bills Linda has to pay after the deductible: $6450 - $1000 = $5450.

Next, account for the coinsurance by calculating 20% of that amount: 0.20 * $5450 = $1090.

To find out how much the insurance company paid, we subtract the amount Linda pays from her total bills. Therefore, $6450 - $1000 (deductible) - $1090 (coinsurance) = $4360. So, the insurance company paid $4360 for the year.

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Hey there!

-3x(4x + 3) + 5x

= -3x(4x) + -3x(3) + 5x

= -3x(4x) - 3x(3) + 5x

= -3x(4x) + 3(-3x) + 5x

= -12x^2 + 3(-3x) + 5x

= -12x^2 - 9x + 5x

= -12x^2 - 4

Therefore, your answer is: -12x^2 - 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

[tex]x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8[/tex]

The area of a triangle is= [tex]\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)][/tex]

=[tex]|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|[/tex]

=[tex]|-54|[/tex] = 54 square units

The length of AC = [tex]\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}[/tex]

                          = [tex]\sqrt{(2-12)^{2} +(1-8)^2}[/tex]

                         =[tex]\sqrt{149}[/tex] units

Let the perpendicular distance from B to AC be = x

According To Problem

[tex]\frac{1}{2} \times x \times \sqrt{149} = 54[/tex]

⇔[tex]x =\frac{108}{\sqrt{149} }[/tex] units

Therefore the perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]

Answer:

all work is shown and pictured

Answer:

she got 9 out of 10 correct on the test so 90% correct, which only leave 10% left to have 100%.

so she got 10% wrong

Step-by-step explanation:

Answer:

1 out of ten or 10 percent { :

Step-by-step explanation:

Answer:

The answer is C.) -113.75

Step-by-step explanation: I just did the assignment and used a calculator to find the answer.

Written out, that would be 4x - 2 = 5.

To solve, add 2 and then divide by 4:

4x = 7

x = 7/4

Answer:

7/4

Step-by-step explanation:

X = a number

Four times a number

4X

Four times a number,decreased by two

4X - 2

Four times a number,decreased by two is five.

4X - 2 = 5

4X = 5 + 2 = 7

X = 7/4

Answer:

$320

Step-by-step explanation:

To find the answer to this you would need to multiply the price by 2 so that you may find out what double the half of price would be, so in theory you and doing the reciprocal.

The graph that represents the solution to this inequality is x > -1.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The given inequality is 16x - 80x < 37 + 27.

Simplifying the left-hand side of the inequality.

-64x < 64

Dividing both sides by -64

(remember to reverse the inequality because we're dividing by a negative number).

x > -1

Now,

This inequality represents all values of x that are greater than -1.

To represent this solution graphically, we would shade the region to the right of the vertical line x = -1, as all x values to the right of -1 satisfy the inequality.

Thus,

The graph that represents the solution to this inequality is x > -1.

Learn more about inequalities here:

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Answer:

f(x)=(x+2)(x−(−1+i2√))(x−(−1−i2√))

Sorry if its wrong!

The required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The function is given in the question following as:

f(x) = x³ + 4x² + 7x + 6

We have to determine the completely factored form of the given function

As per the given question, we have

⇒ f(x) = x³ + 4x² + 7x + 6

Common factor as (x + 2) out in the above expression,

⇒ f(x) = (x + 2)(x² + 2x + 3)

⇒ f(x) = (x + 2)(x−(−1+i√2))(x−(−1−i√2))

Therefore, the required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).

Learn more about the Factorization here:

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Answer:

290.

Step-by-step explanation:

36.25 x 8

Answer:

L = 2w

A = L*W

A = 2w*w

A = 2w^2

Step-by-step explanation:

Final answer:

The area of the rectangle garden as a function of its width w is  [tex]A(w) = 2w^2[/tex], where the length is twice the width of the garden.

Explanation:

The landscaper wishes to make a rectangle flower garden where the length is twice the width. If we denote the width as w and the length as 2w, we can express the area A as a function of its width.

The formula for the area of a rectangle is length × width, so the area function A(w) would be:

A(w) = length × width
    = 2w × w
    = [tex]2w^2[/tex]

So, the area of the garden as a function of its width is [tex]A(w) = 2w^2.[/tex]

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Step-by-step explanation:

Lets define independent and dependent events first.

Independent events:

The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.

Dependent events:

The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.

Now,

When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.

Hence,

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Keywords: Probability, dependent events

Learn more about probability at:

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Answer:

x = 7/4 = 1.75

Step-by-step explanation:

Hello - so you don't seem to have shown what the calculator screen displays, however I can assume it will show a graph of the two lines, and their intersection point. The x-co-ordinate of this intersection point is the solution to the equation.

As I can't see the calculator, I will also show you how to work out the solution for x:

3x - 1 = 6 -x

4x -1 = 6

4x = 7

x   = 7/4  = 1.75

Answer:

Step-by-step explanation:

a hole 8 ft deep.....would be -8 because it is -8 below ground level

u earn $ 8....thats +8

a temp of 8 F....thats a +8

an 8 yd pass....thats a + 8

Answer:

a hole 8 ft deep.....would be -8 because it is -8 below ground level

Answer:

45 m - 30   ≥  275 x (4)  is the required inequality.

Step-by-step explanation:

m: The number of lawns they need  to mow next week

The charge per mowing of lawn = $45

The total earnings spent on gasoline each week  = $30

The earning per person is AT LEAST $275.

Now,if 1 person earns at least $275

So, the total minimum earnings of 4 people  = 4 x ($275)  = $ 1100

Also, of per mow charge  = $45

So, the charge of mowing m lawns  = m x ( Per mow charge )  

= m x ( $45) = 45 m

Now, according to question:

Total Earning - Money spent on gasoline  ≥  Total Earning $1100  

or, 45 m - 30   ≥   1100

Hence, the needed inequality is  45 m - 30   ≥   1100

or, 45 m - 30   ≥  275 x (4)

Answer:

a

Step-by-step explanation:

for people who don't like reading, i gotchu <3

Answer:

whats the answer lol

Step-by-step explanation:

Answer:

Part 5) Option b [tex]2x\sqrt{3}\ ft[/tex]

Part 6) Option d. [tex]4y\sqrt[3]{2}\ mm[/tex]

Step-by-step explanation:

Part 5) we know that

The area of a square is equal to

[tex]A=b^2[/tex]

where

b is the length side of the square

we have

[tex]A=12x^2\ ft^2[/tex]

substitute

[tex]12x^2=b^2[/tex]

Solve for b

take square root both sides

[tex]b=\sqrt{12x^{2}}[/tex]

Remember that

[tex]12=(2^2)(3)[/tex]

substitute

[tex]b=\sqrt{(2^2)(3)x^{2}}[/tex]

Applying property of exponents

[tex]b=\sqrt{(2^2)(3)x^{2}}=[(2^2)(3)x^{2}]^{\frac{1}{2}}=[2^2x^2]^{\frac{1}{2}}3^{\frac{1}{2}}=2x\sqrt{3}\ ft[/tex]

Part 6) we know that

The volume of a cube is equal to

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]V=128y^3\ mm^3[/tex]

substitute

[tex]128y^3=b^3[/tex]

Solve for b

take cubic root both sides

[tex]b=\sqrt[3]{128y^3}[/tex]

Remember that

[tex]128=(2^7)=(2^6)(2)=(2^2)^3(2)[/tex]

substitute

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}[/tex]

Applying property of exponents

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}=[(2^2)^3(2)y^3]^{\frac{1}{3}}=[(2^2)^3y^3]^{\frac{1}{3}}2^{\frac{1}{3}}=2^2y\sqrt[3]{2}=4y\sqrt[3]{2}\ mm[/tex]

Option B

The second term of sequence is -9

Solution:

Given that,

[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]

We have to find the second term of sequence

To find the second term of sequence, substitute n = 2 in given recursive formula

Plug in n = 2 in above equation

[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]

Substitute a(1) = -13

[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]

Thus the second term of sequence is -9

Answer:

Step-by-step explanation:

Yes

Answer:

-22

Step-by-step explanation:

2x + 36 = 4/11 x

2x - 4/11 x = - 36

18/11 x = - 36

x = ((-36) x 11) / 18 = - 22

Answer:

Step-by-step explanation:

5 / (3/4) =

5 * 4/3 =

20/3 <==== I left it as an improper fraction