I need help on the first one it’s confusing for me and it’s geometry

The student council raised $2,790 and they have to shared equally among 3 comittees, then:

Each commitee has a budget of $930, then for the sports committee that wants to purchase t-shirts and each t-shirt costs $12, we can create the following expression:

Let x be the greatest number of t-shirts

Rounding, the sport commitee can purchase 77 t-shirts.

Jimmy earned $6840 from the gift basket sold

What is selling price ?

The selling price is how much a buyer pays for a product or service.

Given,

Number per basket for fruits = 12

Total number of fruits shipped last year = 3,420

Per basket price = $24

Now, we have to find total number of baskets

Total number of baskets = 3420 / 12

                                         = 285

Total amount jimmy earned = 285 * 24

                                              = $6840

Therefore, Jimmy earned $6840 from the gift basket sold.

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Given:

The tank of a car holds 10 gallons of gas.

To find the number of liters does the tank hold:

As we know,

1 gallon = 3.785 liters

So that, for 10 gallons

Thus, the tank can hold 37.85 liters of gas.

Debt can be defined as a sum of money that is owed or due.

Debt creates financial risk and instability by:

a) spreading economic pain and hardship to the country's citizens and to other countries.

b) causing Financial losses, market turmoil, and sharp slowdowns in trade and economic growth are some of the ways countries can feel the effects of a debt crisis in other countries.

c)Creating a heavy debt load that you can’t pay off, your credit score will start to go down resulting in a bad credit score and report.

d) leading to stress by limiting your ability to enjoy life. This can result in various health issues.

Debt is an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another party, the creditor. Debt is a deferred payment, or series of payments, differentiating it from an immediate purchase. It can lead to financial risk and instability for both individuals and the state at large.

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Answer:

1. you have to write down Some nubers in the koordinatsystem

than you can read that it is(if you use only one Box) (-6|5)(6|1)

"A number is 11 more than another number" can be expressed as

"Twice the sum of the two numbers is 42" can be expressed as

So, these two equations for a system. Let's combine them to find y in the first place

Then, we find x

The statement makes sense. This is because A 200 percentage increase in price corresponds to a price that is 300% of the original price

You can express a fraction of something using percentages. A change in something can be described using percentages. As an illustration, the price of milk increased by 5% last month.

By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage.

A figure or ratio stated as a fraction of 100 is called a percentage. The % sign is frequently used to indicate it. In this case, 200% of something implies that it will give 300% of the initial amount.

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The price of tuition has tripled since my parents went to school thats a 200% increase in price corresponds to a price that is 300% of the original price. Does this makes sense?

[tex]A^{-1} =\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]

[tex]x =\left[\begin{array}{ccc}108\\-14\\22\end{array}\right][/tex]

Given matrix A:

[tex]\left[\begin{array}{ccc}5&-15&-44\\-1&2&6\\1&-3&-9\end{array}\right][/tex]

To find the inverse of the matrix we start by finding the determinant of the matrix.

|A| = 5(-18+18) + 15(9-6) - 44(3-2)

= 0 + 15(3) - 44 = 45 - 44 = 1

As the determinant 1 ≠ 0, hence the inverse of the matrix exists.

Now, we find the minors of each element of the matrix.

m₁₁ =  [tex]\left[\begin{array}{ccc}2&6\\-3&-9\end{array}\right][/tex]  = 0

m₁₂= [tex]\left[\begin{array}{ccc}-1&6\\1&-9\end{array}\right][/tex] = 3

m₁₃ =  [tex]\left[\begin{array}{ccc}-1&2\\1&-3\end{array}\right][/tex] = 1

m₂₁ = [tex]\left[\begin{array}{ccc}-15&-44\\-3&-9\end{array}\right][/tex] = 3

m₂₂ = [tex]\left[\begin{array}{ccc}5&-44\\1&-9\end{array}\right][/tex] = -1

m₂₃ = [tex]\left[\begin{array}{ccc}5&-15\\1&-3\end{array}\right][/tex] = 0

m₃₁ = [tex]\left[\begin{array}{ccc}-15&-44\\2&6\end{array}\right][/tex] = -2

m₃₂ = [tex]\left[\begin{array}{ccc}5&-44\\-1&6\end{array}\right][/tex] = -14

m₃₃ = [tex]\left[\begin{array}{ccc}5&-15\\-1&2\end{array}\right][/tex] = -5

The cofactor matrix can be obtained as:

[tex]\left[\begin{array}{ccc}0&3&1\\3&-1&0\\-2&-14&-5\end{array}\right][/tex]

Now the adjoint of matrix A (written as adj A) by taking the transpose of the cofactor matrix of A is,

[tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]

To determine the inverse of a square matrix A, we use the formula:

A⁻¹ = adj(A) / |A|

Therefore, the inverse of the given matrix is:

A⁻¹ = 1/1 [tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right][/tex]

It is given, Ax = b

and b = [tex]\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]

Let x be [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex]

Putting values in Ax = b equation,

[tex]\left[\begin{array}{ccc}0&-3&-2\\-3&-1&14\\1&0&-5\end{array}\right]\left[\begin{array}{ccc}a\\b\\c\end{array}\right]=\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-3b-2c\\-3a-b+14c\\a-5c\end{array}\right]=\left[\begin{array}{ccc}-2\\-2\\-2\end{array}\right][/tex]

Equating the three equations with the respective values,

So, -3b - 2c = -2

-3a -b + 14c = -2

a - 5c = -2 ⇒ a+2/5 = c

Solving the above equations we obtain the values of a,b, and c as 108, -14, and 22.

So, the matrix x is

[tex]x =\left[\begin{array}{ccc}108\\-14\\22\end{array}\right][/tex]

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The given functions are f(x) = 9x-2  and g(x)=√(√3x +7) the value of f (3) and g (3) will be 25 and 3.4592.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that  f(x) = 9x-2 and g(x)=√√3x +7.

We obtained that independent variables will have an impact on dependent variables. What occurs as a result of the independent variable is referred to as a dependent variable.

We have to evaluate the values one by one putting the value of an independent variable as,

a) g (3)

g(x)=√(√3x +7)

g(3) = √(√3(3) +7)

g(3) =√(5.196 + 7 )

g(3) =√(12.196)

g(3) =3.492

b)f (3)

f(x) = 9x-2

f(3) = 9× 3 -2

f(3) = 27 - 2

f(3) = 25

Thus, the given functions are f(x) = 9x-2  and g(x)=√(√3x +7) the value of f (3) and g (3) will be 25 and 3.4592.

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The equation will be

the expression has a value closest to 1 is √37 - √26 (option C)

Explanation:

To determine the expression, we need to solve each of the options.

a) 7π/√10 = 7(3.14) /√10 = 21.98/3.1623

= 6.95

b) √75 - √74 = 8.66 - 8.60

= 0.06

c) √37 - √26 = 6.083 - 5.099

= 0.984

d) (3√5 - √20)/√2 = (6.708 - 4.472)/1.414 = 2.236/1.414

= 1.58

√37 - √26 = 0.984 is closest to 1

From the above, the expression has a value closest to 1 is √37 - √26 (option C)

we have the system of equations

y=3x+4 ----> equation 1

y=ax+b ----> equation 2

Remember that

The only condition for the system, to have only one solution is that the slopes of both lines are different

so

The values for a are all real numbers except for a=3

The values for b are all real numbers

Therefore

A solution could be

The solution is (0,4)

The inner core is solid because the inner core consists of a lot of pressure and high temperatures. This is true.

The pressure surrounding the inner core, as well as the planet's atmosphere, keeps the iron from melting. The iron atoms cannot migrate into a liquid form due to the pressure and density, which are simply too high.

Temperature is a measure of how hot or cold something is, more particularly the average kinetic energy of the particles in an object, which is a sort of energy related with motion. Temperature is a measure of how hot or cold something is represented in terms of one of several scales, including Fahrenheit and Celsius.

Because the inner core is under intense pressure and is extremely hot, it is solid. And the stuff becomes denser as pressure and temperature increase. Therefore, the inner core's high heat and pressure are what are solidifying it since the denser the stuff is, the more solidified it becomes.

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The inner core is solid because the inner core consists of a lot of pressure and high temperatures. And the more pressure and high temperatures the more dense the substance gets. True or false?

we have that

the area of a parallelogram is

A=b*h

we have

b=10 ft

h=5 ft

so

A=10*5=50 ft2

Answer:

Explanation:

Given:

Volume of the cone = 4π dm³

diameter of the base = 80cm

To find:

the area of the base

The base of a cone is a circle. Area of the base will be area of the circle

diameter = 80cm

diameter = 2(radius)

radius = diameter/2

radius = 80/2 = 40 cm

We need to convert from cm to dm to get same units

10cm = 1 dm

40cm = 4 dm

let π = 3.14

substitute the values into the formula:

The given polynomial

To get the zeros of the polynomial, the best way to go about it is the graphical method

Upon graphing the polynomial

we will have

To find f(4) you divide the given polynomial into (x-4):

To divide:

1. Divide the first term of the dividend by the highest term of the divisor:

2. Multiply the divisor by the result:

3. Substract the product in step 2 from the appropiat terms of the dividend (when you substract the symbols change) (then bring down the next term from the dividend)

4. Repeat previous steps:

As the remainder is -25:

To calculate the area of a circle you have to use the following formula:

Where

A is the area

π is the number pi, for this exercise you have to use up to its two first decimal values: 3.14

r is the radius.

The radius of a circle is half its diameter, so the radius of the circular garden will be

Next, you can calculate the area of the circular garden as follows:

The area of the circle is 50.24yd²

The role of financial accounting standard setting in the United States is to establish and improve financial accounting and reporting standards to provide useful information to those who need it.

The Financial Accounting Standard is a term to refer to an institution established in 1973 that was created with the objective of establishing financial reporting and accounting standards for public and private companies and non-profit organizations.

The main role of this institution is to create accounting standards focused on public companies. This process of creating accounting standards is focused on promoting financial information in the financial field for different institutions and people interested in investing.

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We have the next formula to the simple interest

where

I= interest earn after t years

P is the initial deposit

r is the rate

t is the time

P=1500

r=2.5%

t= 4 years

then we substitute the values in the formula

He will earn $150 after 4 years, his final capital will be $1650

ANSWER:

a. 280 cm^3

b. 343 cm

STEP-BY-STEP EXPLANATION:

The formula for the volume of the rectangular prism is as follows:

We replace for each case:

a.

b.

c.

The value of the function (g•f )(x) is 8x-3.

Given the functions are:

g(x) = 4x+5

f(X) = 2x-2

we are asked to determine (g•f )(x) = ?

⇒ g(x) = 4x+5

⇒ f(x)  = 2x-2

⇒  (g•f )(x), substitute the value for f(x)

⇒ g(f(x))

⇒ g(2x-2)

now put the value g(2x-2) in g(x)

⇒ g(2x-2) = 4x+5

⇒ g(2x-2) = 4(2x-2) + 5

⇒ g(2x-2) = 8x - 8 + 5

⇒ g(2x-2) = 8x - 3

Hence we get the value of  (g•f )(x) as 8x-3

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AS shown in the table :

The number of t-shirts and shorts = 25 + 15 = 40

The number of sunglasses = 10

So, the ratio between them =

so,the answer will be option B: 4 to 1

we can factor this quadratic expression finding the zeros, as follows:

Then, the quadratic expression can be expressed as

Explanation

Step 1

A square root of a number is a value that, when multiplied by itself, gives the number.

hence, we need to find a value(s) that when multiplied by itself gives 121,so

because

I hope this helps you

The value of x = 42

Given : A right angled triangle with the below mentioned measures :

angles ∠ 1 = 28 °

∠ 2= 25° and the length is 600

To find : the value of x

Let us assume the rest of the length is y that is the side opposite of the angle will now be x + y

thus tan 28 ° = [tex]\frac{x+y}{600}[/tex]

tan 28 °= 0.53 thus the equation after cross multiplying becomes ;

0.53 × 600 = x + y

318 = x + y ------------------ equation 1

And tan 25° = [tex]\frac{y }{600}[/tex]

tan 25 ° = 0.46  

After cross multiplying we get : 0.46 × 600 = y

=> 276 = y

Substituting this value in equation 1 we get : 318 = x + 276

=> x = 318 - 276

=> x = 42

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We can calculate the slope as:

From this, we have: (FIRST ANSWER)

The length of the non-parallel sides can be measured as:

From this, we have: (SECOND ANSWER)

From the figure in the beginning and the values we found, this is a Rhombus.