An office manager spent $4870 on a
total of 14 chairs and desks. Each chair
costs $125, and each desk costs $515.
How many chairs and how many desks
did he buy?

One cheese sandwich costs $1.4 and one bottle of water costs $1.8.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let x be the cost of cheese sandwiches and y be the cost of one bottle of water.

3x+2y=7.8

5x+4y=14.2

(3x+2y=7.8)*2

6x+4y=15.6

5x+4y=14.2

x=$1.4

y=$1.8

The cost of one cheese sandwich is $1.4 and that of one bottle of water is $1.8.

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Answer:

3. vertical line

4. A

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 63.2 cm³

Step-by-step explanation:

The tank was 3/4 filled up when the stones were dropped in. This means that the stones had to first get the water level to 4/4 before it could begin to spill. Then after it spilled, it still spilled 180 cm³ of water.

This means that the stones took 1/4 of the total prism and then 180 cm³ as well.

The volume of the 25 identical stones is therefore:

= (5,600 * 1/4) + 180

= 1,580 cm³

The volume of each individual stone is:

= 1,580 / 25

= 63.2 cm³

Answer:

$3,600

Step-by-step explanation:

what you do is multiple 600 and 6 together and you'll get 3,600

Answer:

He will have saved $3600.

Step-by-step explanation:

$600 x 6=$3600

The y intercepts of the quadratic equation y = x² - 5x + 6 is given by (0 , 6)

and the x intercepts are ( 3 , 0 ) and ( 2, 0 )

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = x² - 5x + 6   be equation (1)

On simplifying the equation , we get

y = x² - 2x - 3x + 6

Taking the common factors of the equation , we get

y = x ( x - 2 ) - 3 ( x - 2 )

On factorizing the equation , we get

y = ( x - 3 ) ( x - 2 )

To find the y intercepts , substitute the value of x = 0 , we get

y = ( 0 - 3 ) ( 0 - 2 )

y = ( -3 ) ( -2 )

So , y = 6

Hence , the y intercepts of the equation is  ( 0 , 6 )

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The area, in square units, of the region where the two triangles overlap is found as 1 square units.

We can determine the equation for each line with in diagram using its coordinates.

We can determine the coordinates for each point. (1/4,3/4) is one of the intersections.

d² = 2² + 2² = 8

A₁ = (1/3d + 1/6d )/2 * 1/4d

A₁ = 1/4d * 1/4d

A₁ = 1/ 16 d²

Now,

A = 2A₁

A = 2.(1/16)d²

A = 1/8d²

A = 1/8 *8

A  = 1

Thus, the area, in square units, of the region where the two triangles overlap is found as 1 square units.

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Answer:

1 square unit

Step-by-step explanation:

Answer:

[tex]x^{10}[/tex]

Step-by-step explanation:

Mark as brainllest

Answer:

[tex]x^{10}[/tex]

Step-by-step explanation:

Give other guy brainllest

Let's say we have an expression P^A then the negation of  P^A  will be not(  P^A  ). This is an example of negation.

As the name suggests negation means the negative of a term or expression and it comes under the branch of mathematical logical reasoning.

When not word is added in front of an expression it becomes the opposite , this is how we negate something. A statement is only admissible if it is always true or always false.

It is sometimes required in mathematics to find the inverse of a particular mathematical statement, this is when negation is used. Negation thus, refers to the process of determining the inverse of a given assertion.

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Answer:

the answer is 81 rotations per minute

Answer:

Step-by-step explanation:

6. 8.50 x 1.06=9.01 cost of book plus tax

10-9.01=.99 change Henry will receive back

7. $12 x 1.085=13.02 total costs of ticket

5. 216/1.08=$200. $216-200=$16 sales tax paid

3. 85 x 1.08=$91.80

4. 687.50 x 1.06=728.75

Answer:

82/7

Step-by-step explanation:

To add these numbers you need to change them to have the same denominator.

7=49/7

4 5/7=(28+5)/7=33/7

49/7+33/7=(49+33)/7=82/7

Answer:11 5/7

Step-by-step explanation:

The degree of the given polynomial is 4.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

The given polynomial is y=3x²-7x⁴+5-9x.

a) The polynomial in standard form is -7x⁴+3x²-9x+5.

b) The degree of the polynomial is 4.

c) The number of terms in the polynomial are 4.

d) Use the degree and the leading coefficient to determine the behavior.

Falls to the left and falls to the right

e) Use the derivative to find the maximum and minimum.

(−0.78859507, 11.25584002) is a local maxima

f) Here the y-intercept is (0, 5)

g) The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x≈−1.33755842,0.5797309.

h) Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),{x|x∈R}

i) Range: (−∞,11.25584002],{y|y≤11.25584002}

Therefore, the degree of the given polynomial is 4.

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Answer:

The answer is 1.8%

Step-by-step explanation:

I used the A=PRT equation

Answer:

The angle in the sector is 180°.

Because the area of circle is 36 pie cm². So the angle is the half of 360°.

[tex]\boxed{\begin{array}{l} \\ \sf\huge{ \quad \underline{Answer} } \\ \\ \underline{ \underline\textsf{ Area of sector is given by : }} \\ \\ \dashrightarrow \sf{ A = \dfrac{ \theta}{360 \degree} \times \pi {r}^{2} } \\ \\ \dashrightarrow\sf{18 \pi = \dfrac{ \theta}{360 \degree} \times \pi {(6)}^{2} } \\ \\ \dashrightarrow \dfrac{ \theta}{360 \degree} = \dfrac{18 \pi}{ \pi(36)} \\ \\ \dashrightarrow \theta = 360 \degree \times \dfrac{1}{2} \\ \\ \dashrightarrow\theta = 180 \degree \\ \\ \end{array} } [/tex]

Answer:

D 100 revolution is your answer

Answer:

Step-by-step explanation:

Note that 4^7 = 4^4*4^3.  

Compare 4^4 and 4^4 * 4^3.  The last factor is 64.  So 4^7 is 64 times larger than 4^4.

4⁷ is  64 times larger than 4⁴.

What is the power?

The power of a number is the multiplication with the same number as many times as the power.

Given,

Therefore, 4⁷/4⁴ = 4⁷⁻⁴ = 4³ = 64.

Hence, 4⁷ is  64 times larger than 4⁴.

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3u^2-84 = 0 then u=5.29 is the nearest hundredth

The union of both rational and irrational numbers is known as a real number. They are represented by the letter "R" and can be either positive or negative.

This category includes all natural integers, decimals, and fractions.

In the number system, real numbers are only the fusion of rational and irrational numbers.

These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.

Imaginary numbers, which are often known as unreal numbers since they cannot be stated on a number line, are frequently used to symbolize complex numbers. Examples of actual numbers include 23, -12, 6.99, 5/2, and so forth.

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Answer:

x = 3

Step-by-step explanation:

2x + 4 = 16

2x = 12

x = 3

The schedule of her course in 120 ways.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

According to the question there are five spaces for different subjects which are arranged in different order so the number of ways are

2(5,4)

= 5 * 4 * 3 *  2

=120 ways

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To evaluate (3 x 8 x 5)⁷, you need to first multiply 3, 8, and 5 together to get the base, then raise that result to the seventh power.

What does a math exponent mean?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.

So,

(3 x 8 x 5)⁷ = (120)⁷ = 120 x 120 x 120 x 120 x 120 x 120 x 120

= (1.2 x 10^2)^7 = 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2

=1.2^7 x 10^14 = 1.2^7 x 10^14

=4096 x 10^14

=4.096 x 10^17

Therefore (3 x 8 x 5)⁷ = 4.096 x 10^17

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In one of the equations, separate one of the two variables. In the other equation, replace the expression with the value of the isolated variable from Step 1. Consequently, a linear equation with just one variable ought to emerge.

The one y-value in the substitution method is replaced with the other. We'll give an example to illustrate this. Since y = y, we can replace y in the second equation with y from the first equation. The linear system's solution is (1, 6).

Numerous solutions, no solutions, and a singular solution.

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A total of 785 planks Andy Mann needs to order to make sure he has enough to complete the fence.

As the planks are 10cm wide to the nearest cm.

The total length of the fencing is = 75 m

From above, we can conclude that,

Range of the planks' lengths: 9.5 cm <= Plank's length < 10.5 cm

Range of fencing needed: 74.5 m <= Fence length < 75.5 m

We should consider the worst-case scenario where all the planks are 9.5 cm.

To complete the job, he only needs 74.5 m in total.

So, the total number of planks needed for completing the Job will be

= (74.5 * 100) / 9.5 = (7.84210*100) = 784.210

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Answer:

5%

Step-by-step explanation:

2,125 interest/5 years=425 interest/year

425/8500=.05 or 5%

Answer:

the real answer is 4.25

Step-by-step explanation:

hope this helps

by the way to calculate the interest you have to divide the total interest by how many days or years then put in percent form example 2.125 divided by 5 wich equals 4.25

Given the surface area of the sphere, and the formula for the surface area, the value of the radius is 11 cm

The radius of the sphere allows for the surface area of the sphere to be calculated, with the formula 4 πr².

Given that the surface area of the sphere is 484 π cm then the radius can be found to be :

484 π = 4 πr²

r ² = 484 π / 4 π

r ² = 121

The value of the radius would then be:

r ² = 121

r = √ 121

r = 11 cm

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Answer:

8) y > -x-3

9) One point that is a solution would be (0, 0). One point that is not a solution would be (0, -3).

Step-by-step explanation:

9) We can look at the graph to the left and know that anything shaded is considered to be a solution, thus, (0, 0) would be a solution. While (0, -3) is on the line itself, the inequality only includes numbers greater (to the right) than the line, therefore anything less (to the left) than or equal to the line would not be a solution.

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

The term unitary refers to a single or unique or variable unit. As a result, the purpose of this strategy is to construct values with regard to a single unit. For instance, if a car drives 44 kilometres on two litres of fuel, the unitary technique can be used to determine how many kilometers it will travel on one.

Here,

Every subsequent line, beginning with one, contains two less characters than the one before it.

This signifies that your starting line contains three marbles. The 3 marbles are multiplied by 2 to get 3x2=6, and the result is subtracted to get 6-2=4.

This implies that you will receive 4 marbles for the following line.

As a result, in order to determine the sixth line, you must first determine the fifth line by counting the number of marbles on the fourth line because your diagram does not include a fifth line.

(4) = ten marbles.

10×2=20

20-2=18

(5) line = (18)

18×2=36

36-2=34

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

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Answer:

330

Step-by-step explanation:

The prism is a triangular prism

9 * (12 + 5 + 13) + (2 * 30)= 330

30 being the base area

Answer:

330

Step-by-step explanation:

We can break each surface area into it pieces.

For the squares:

9x13=117

9x5=45

9x12=108

For the triangles:

12x5÷2=30

12x5÷2=30

Add all of those together to get the total square area, which is

330