{x-2y=-6
{3x-y=7

the system of equations below is only true if x= ??? y=???

Answer:

Amount = $14,024 (Approx)

Step-by-step explanation:

Given:

Amount received P = $13,500

Rate r = 7% = 0.07

Time t = 15 month = 15/12 = 1.25 = year

Discount rate = 6% = 0.06

Computation:

Maturity value = P[1+rt]

Maturity value = 13,500[1+(0.07)(1.25)]

Maturity value = $14,685.61

Time = 15 month - 6 month

Time = 9 month = 9/12 = 0.75 year

Amount = MV[1-dt]

Amount = 14,685.61[1-(0.75)(0.06)]

Amount = $14,024 (Approx)

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:

Jemma: 22x + 5

Debra: 20x

Step-by-step explanation:

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

Benefits:

Pick up litter

Put up bird houses

Put out bird feeders

Put gum and candy wrappers in trash

Hunt deer legally

Follow fish regulations

Harmful effect:

Ride ATV's off trail

Ride horses offstream

Hunt outside of season

Eat fish caught outside of season

Dig up flowers

Carve initials on trees

Drop trash on floor

I think building ponds is a benefit.    Hope this helps

Step-by-step explanation:

12+ 3x= -24 -3x

Collect like terms

12 +24= - 3x -3x

36 = - 6x

Divide both sides by -6

Therefore, x = -6

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

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Answer:

2-x

Step-by-step explanation:

5/3-x+1/3

5/3+1/3-x

6/3-x

2-x

Answer:

3x/4 = 5

Step-by-step explanation:

The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

Answer:

8 × pi

Step-by-step explanation:

The equation for circumference is 2 × pi × r.

Since the diameter is 8, we know the radius is 4.

2 × pi × 4 = 8pi

Answer:

46.5482 degrees

Step-by-step explanation:

tan inverse of (5.7/5.4)

Answer:

There is no solution to this system of equations. The lines do not intersect.

Step-by-step explanation:

Step 1 : See if either x or y can be eliminated.

2x-6y=8

2(x-3y=9)

2x - 6y = 8

2x - 6y = 18

There is no solution to this system of equations as they don't intersect. Notice how we can't cancel out the x or y without canceling the other unknown variable?

Proof : Rearranging the equations above into y = mx + b form, we get

Equation 1 : y = 1/3x - 4/3

Equation 2 : y = 1/3x - 3

A system of equations has no solution when the slopes are the same and both equations have different y intercepts.

Answer:

It would be 86/9 because you would need to make it improper

Step-by-step explanation:

Answer: its still going to get 9 5/9 or 86/9 theres no common divisor for them

Step-by-step explanation:

The solution to the proportion  4/(x+1) = 3/(x+2) is x = -5 and

The solution to the proportion  x/(x+3) = (x-2)/x is x = 2.

A quadratic polynomial is a polynomial of degree 2, which means that the highest power of the variable in the polynomial is 2. A quadratic polynomial can be expressed in the general form:

a\(x^2\) + bx + c

where a, b, and c are constants, and x is the variable.

In this form, coefficient a is the leading coefficient, and it determines the concavity of the quadratic function. If a is positive, the function is concave up, meaning that it opens upward and has a minimum value. If a is negative, the function is concave down, meaning that it opens downward and has a maximum value.

The quadratic polynomial is named as such because it is a polynomial of degree 2, and the term "quad" means "square." The quadratic function is commonly seen in geometry, algebra, and physics, and it has many applications in real-life problems, such as finding the maximum or minimum values of a function, determining the trajectory of a projectile, and modeling certain natural phenomena.

Quadratic polynomials can be solved by various methods, including factoring, completing the square, and using the quadratic formula.

To solve the proportion 4/(x+1) = 3/(x+2), we can cross-multiply to get:

4(x+2) = 3(x+1)

Expanding the brackets gives:

4x + 8 = 3x + 3

Subtracting 3x from both sides gives:

x + 8 = 3

Subtracting 8 from both sides gives:

x = -5

To solve the proportion x/(x+3) = (x-2)/x, we can cross-multiply to get:

\(x^2\) - 2x = (x+3)(x-2)

Expanding the brackets gives:

\(x^2\)- 2x = \(x^2\) + x - 6

Subtracting\(x^2\) from both sides gives:

-2x = x - 6

Subtracting x from both sides gives:

-3x = -6

Dividing both sides by -3 gives:

x = 2

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The simplified form of the rational expression \((7x)/(14x^6)\) is \(1/(2x^6).\)

To simplify the rational expression \((7x)/(14x^6)\), we can begin by simplifying the numerator and denominator separately.

In the numerator, 7x, we can see that both 7 and x have a common factor of 7. So, we can rewrite the numerator as 7 × x = 7x.

In the denominator, \(14x^6\), we can see that both 14 and x^6 have a common factor of \(2x^6\).

So, we can rewrite the denominator as

\(14 \times x^6 = 2 \times 7 \times x^6 = 2 \times 7x^6.\)

Now, we can simplify the rational expression by canceling out the common factors in the numerator and denominator:

\((7x)/(14x^6) = (7x)/(2 \times 7x^6) \\= (7x)/(2 \times 7 \times x^6) \\= (cross(7x))/(2 \times cross(7) \times x^6) \\= 1/(2x^6)\)

Therefore, the simplified form of the rational expression\((7x)/(14x^6)\) is \(1/(2x^6).\)

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The algebraic expression -19c - 4c + 9 + 16​ when simplified is -23c + 25

From the question, we have the following parameters that can be used in our computation:

-19c-4c+9+16​

Express properly

So, we have

-19c - 4c + 9 + 16​

Evaluate the like terms

This gives

-19c - 4c + 9 + 16​ = -23c + 25

Hence, the algebraic expression when simplified is -23c + 25

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Mr. Kazoo needs to buy 6 boards to complete his fencing as he can not buy exactly 5.71 boards.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables.

We can form numerical expressions from statements.

Given, Mr. Kazoo is planning to build a fence.

The gate is 40 inches wide.

Therefore, He needs to buy (40/7) = 5.71 boards.

But, He can not buy a board 0.71 part of the whole part, So he needs to buy 6 boards to complete his fencing.

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Answer:

C. 60 among 200 students would like Tulip (Assuming pie chart - 15 among 50 students like Tulip)

Step-by-step explanation:

Percent students liking tulip = (Tulip liking students / Total students) x 100

= (15 / 50) x 100 = 30%

Expected students to like Tulip among 200 students =  30% of 200

( 30 / 100 ) x 200

= 60 students

Using the z-distribution, the 95% confidence interval for the proportion is given as follows:

(0.4576, 0.5824).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The other parameters for the interval are given as follows:

\(n = 246, \pi = 0.52\).

The lower and upper bound of the interval, respectively, are given by:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.4576\)

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.5824\)

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Answer:

Step-by-step explanation:

The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip

Total money of the three men: 3($100) = $300

They paid $270 for the room: $300 - $270 = $30

Tip for the bell boy: $30 - $30 = $0

Amount overcharged to them: $0 + $20 = $20

Tip to the bell boy: $20 - $20 = $0

They were left with no more money from the original $300.

Answer:

a) SE = 25

b) MOE = 41

c) CI = 1951 ; 2049

Step-by-step explanation:

Normal distribution

Population mean  unknown

Population standard deviation    σ  = 350     Kwh

a) The standard error of the mean SE is

SE  =  σ/√

SE = 350 /√196

SE = 350/14

SE = 25

b) If confidence nterval is 95%    or 0,95  then

α = 0,05

And from z table we get     z(c) = 1,64

MOE = z(c) * SE

MOE = 1,64 * 350/√196

SE = 1,64 * (350)/14

SE = 41

MOE = And from z tabl we get     z(c) = 1,64

MOE = 1,64 * 350/√196

MOE = 1,64 * (350)/14

MOE = 1,64 * 25

MOE = 41

c) The confidence interval is:

Z = 2000

α = 1- 0,95

α = 0,05       ⇒   α/2   =  0,025

CI  =   Z - z(α/2) * σ/√n   ;    Z + z(α/2) * σ/√n

z(α/2)   from z-table is:     z(0,025)  = 1,96

CI = 2000 -  1,96* 350/√196   ;   2000 + 1,96* 350/√196

CI = 2000 - 1,96*25  ;  2000 +  1,96*25

CI = 2000 -  49 ;  2000 + 49

CI = 1951 ; 2049

The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.

The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.

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Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation: