How many solutions does this system of equations have?
y = x2 + x + 3
y = -2x - 5

Answer:

$324.35

Explanation:

Given a $249.50 cell phone with a 30% markup, to determine the selling price of the cell phone we need to first calculate 30% of $249.50 as seen below;

We'll now add $74.85 to $249.50 to finally get the selling price of the cell phone;

Therefore, the selling price of the cell phone is $324.35.

A note with a face value of $8200 was discounted If the discount was $200, the length of the loan in days will be 178 Days.

A loan is when money is lent to another person with the understanding that it would be repaid, along with interest. Before agreeing to provide a borrower with a loan, lenders will take into account the borrower's income, credit score, and degree of debt.

Let us consider the number of days to be 'D'

8200 * 5% * (D / 365) = $200

D = (200 * 365) / (8200 * 0.05)

D = 7300 / 41

D = 178 Days.

Therefore, the loan's duration in days will be 178 Days.

COMPLETE QUESTION: A note with a face value of $8200 was discounted at 5% If the discount was $200 find the length of the loan in days

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The angles that form a linear pair involving point F are:

a. ∠DFC and ∠CFG

d. ∠HFD and ∠CFD

A linear pair can be defined as the set of two angles that are adjacent to each other and share a common vertex and a common side, and also lie on a straight line.

Given the image in the question above, we see that:

Angle DFC and angle CFG share a common side FC and a common vertex point F, hence, they are adjacent angles that lie on a straight line, thus, they are a linear pair.

Angle HFD and angle CFD also share a common side FD and a common vertex point F. This makes them adjacent to each other. Also they are on a straight line. Therefore, angle HFD and angle CFD are a linear pair.

Thus, we can conclude that the angles that form a pair of angles that are classified as a linear pair are:

a. Angle DFC and angle CFG

d. Angle HFD and angle CFD

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Explanation:

Let's identify the coordinates of the initial and final triangle.

R = (-4, 5)

S = (-2, 5)

T = (-4, 1)

In the same way,

R' = (3, 2)

S' = (5, 2)

T' = (3, -2)

So, we can say that the translation was 7 units to the right and 3 units down, so the rule will be:

(x, y) ---> (x + 7, y - 3)

If we apply this rule to the points R, S, and T, we get:

R(-4, 5) ---> (-4 + 7, 5 - 3) = R'(3, 2)

R(-4, 5) ---> (-4 + 7, 5 - 3) = R'(3, 2)

R(-4, 5) ---> (-4 + 7, 5 - 3) = R'(3, 2)

The solution of the system of equation is as follows:

The system of equation can be solved as follows:

6x + 4y = 10

-7x  - 3y  = 5

Hence, let's multiply equation(i) by 3 and multiply equation(ii) by 4

Therefore,

18x + 12y = 30

-28x - 12y = 20

add equation(ii) to equation(ii)

-10x = 50

y = 50 / -10

y = -5

Hence,

-7x  - 3y  = 5

-7x - 3(-5) = 5

-7x + 15 = 5

-7x = 5  - 15

-7x =  - 10

x = 10 / 7

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Answer:

$425

Step-by-step explanation:

Equation can be written as follows:

c = 200 + 5m

Plug 45 in for m to get this:

c = 200 + 5(45)

Simplify!

c = 200 + 225

c = 425

Hope this helps :)

We are asked to find out how much wood is needed to make the circular bottom of a birdhouse if the diameter of the bottom is 12 inches​.

Recall that the circumference of a circular shape is given by

Where π is a constant and r is the radius.

The radius and diameter of a circle are related as

So, the circumference of the circle becomes

Therefore, 36.7 inches of wood is needed to make the circular bottom of a birdhouse.

The diameter of the cone is d = 6 ft.

The height of cone is h = 8 ft.

Determine the radius of cone.

Determine the volume of cone.

So volume of cone is 72 feet cube.

Answer: 72

7.-

Equation for Neil P = 80 + 3m

Equation for Barry P = 230 + 2m

8.-

Neil P = 80 + 3(100)

P = 80 + 300

P = $380

Barry P = 230 + 2(100)

P = 230 + 200

P = $430

10.-

P = 80 + 3m

P = 230 + 2m

80 + 3m = 230 + 2m

3m + 2m = 230 - 80

m = 150

The formula indicates how the price of the meal after taxes is calculated.

Where

T is the total price

P is the price without taxes

r is the tax rate, this value is always expressed as a decimal value.

Amy paid a total of $30.60 plus a $10 gift certificate, the total cost of the bill is:

To express the tax rate as a decimal value you have to divide the percentage by 100:

Replace both values on the formula:

Now we have established an equation with one unknown "P", to solve the equation for P, the first step is to simplify both terms on the left side of the equation. To do so, add both terms:

Divide both sides by 1.09 to determine the value of P

The cost of the family's dinner before taxes w

Hello!

What is a slope-intercept form:

 y = mx + b

           [tex]Slope = \dfrac{y_2-y_1}{x_2-x_1} =\dfrac{1--3}{1-0} =\dfrac{4}{1} =4[/tex]

        ==> thus is -3

So our equation is [tex]y=4x-3[/tex]

Hope that helps!

Answer:

-2 1/4 or 2.25

Step-by-step explanation:

i hope this helped and ita also self explanitory

Answer:

See below

Step-by-step explanation:

Use points given in hint to find slope, m  =  (2000 -1000) /( 6- 8) = -500

    then y = - 500x + b     sub i oneof the points to calculate b = 5000

so   y = - 500x + 5000    

if x = 7.5

      y = -500(7.5) + 5000 = 1250 dollars

ANSWER

86.67%

EXPLANATION

We want to find the probability that Kevin will arrive on time if he plans to take the subway.

To find this, we have to divide the number of times that Kevin was on-time by the total number of times that he took the measurement.

We have that out of 30 days that Kevin was on-time on 26 occasions.

Therefore, the probability that Kevin will arrive on-time the next day is:

That is the answer.

Based on the time it takes to patrol one neighborhood, the number of neighborhoods that the sheriff can patrol in 5/8 of an hour is 3.125 neighborhoods

The number of neighborhoods that the sheriff can patrol in 5/8 hours depends on the number of hours that it takes the sheriff to patrol one neighborhood.

The number of neighborhoods she can patrol can therefore be found by the formula:

= Number of hours sheriff has / Number of hours required to patrol one neighborhood

= 5/8 ÷ 3/15

= 5/8 x 15/ 3

= 75 / 24

= 3.125 neighborhoods

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The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem can be expressed as, c2 = a2 + b2; where 'c' is the hypotenuse and 'a' and 'b' are the two legs of the triangle.

Answer:

Pythagoras theorem is a theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

The Pythagoras theorem equation is expressed as,

c²=a²+b²

where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two angles(opposite and adjacent)

Step-by-step explanation:

rate as brainliest

Monthly payments and total loan costs on a 30-year loan at an APR of ​9% are 1027.27 and for a 15-year loan at an APR of ​8.5% are 1297.82.

Formula to computer the periodic payment for a loan with principal P, periodic interest rate R, and several payments T:

(P × R)([tex](1-(1+r)) ^{-T}[/tex])

Option 1, there are 30×12=360 monthly payments, and the monthly interest rate is 8%÷12.

By applying all the given values P=140000, R= 8%÷12 and T = 360 in P÷([tex](1-(1+r)) ^{-T}[/tex]),

(140000 × (9% ÷ 12))÷(1 - [tex](1 + \frac{9}{12} )^{-360}[/tex] ) = 1027.27

In option 2, there are 12 × 15 = 180 monthly payments, and the monthly interest rate is 7.5% ÷ 12. Applying the formula (P × R)([tex](1-(1+r)) ^{-T}[/tex]), the monthly payment is:

(140000 × (8.5% ÷ 12))÷(1 - [tex](1 + \frac{8.5}{12} )^{-180}[/tex] ) = 1297.82

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The number is 22

What is a number?

A number is a mathematical entity that may be used to count, measure, and name things. The natural numbers 1, 2, 3, 4, and so on are the original instances. Number words can be used to represent numbers in language. Individual numbers can be represented more generically by symbols known as numerals; for example, "5" is a numeral that represents the number five. Because only a small number of symbols can be memorized, fundamental numerals are often structured in a numeral system, which is a systematic method of representing any number. The most prevalent numeral system is the Hindu-Arabic numeral system, which allows any number to be represented using a combination of 10 fundamental numeric symbols known as digits.

4n - 25 = 63

or, 4n = 63 + 25

or, n = 88/4 = 22

Hence, the number is 22

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Solution

- The question asks us for the leading coefficient of the following polynomial

Explanation

Leading Coefficient:

- The Leading Coefficient is defined as the number multiplying the variable with the highest degree or exponent.

- In the case of this question, the variable is "y".

- The y-variable with the highest power is "y⁵", thus, the Leading coefficient is the number multiplying "y⁵". In this case, that number is 12.

- Thus, the Leading Coefficient is 12

Degree of the Polynomial:

- The degree of a polynomial is the highest power of the variable in the polynomial.

- This variable with the highest number is usually multiplying the Leading Coefficient.

- Thus, the Degree of the Polynomial is 5.

Final Answer

- The Leading Coefficient is 12.

- The Degree of the Polynomial is 5.

Notice that the option F cannot be used to determine the lengths of each piece of ribbon because:

Option C

The rate of change is given by the equation:

For the rate of change to be constant, Δy / Δx must be the same for all parts of the table.

In table A, the constant rate of change is (9-9)/(4-2) = 0

In table B, the constant rate of change is (13-11)/(4-2) = 2/2 = 1

In table C, the constant rate of change is (36-18)/(4-2) = 18/2 = 9

In table D, the constant rate of change is (10-9) / (4-2) = 1/2

Only table C has a constant rate of change of 9

Answer:

Step-by-step explanation:

Under her cell phone plan, Mei Mei pays a flat cost of $46 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Mei Mei can use while staying within her budget.

The

inequality

for the required

condition

will be 46+5x<70 as she want to keep the

bill

under $70 according to question. Also she can buy 5 gg that is number of

gigabytes

in a month.

What is inequality?

An

inequality

in mathematics is a relationship that makes a non-equal

comparison

between two numbers or other

mathematical

expressions. It is most commonly used to compare the

sizes

of two numbers on a

number

line.

How to solve the inequality?

To solve an inequality, follow these steps: Remove fractions by

multiplying

all terms by the fractions' least common

denominator

.

Simplify

the

inequality

by combining like terms on each side.

Subtract

or add

amounts

to get the unknown on one side and the numbers on the other.

according to the question,

$46 is the fix cost that she has to pay.

$5 is the cost of gg she buys that is variable.

let us assume that x gigabytes she can buy in a month.

$70 is the maximum bill amount she want.

so the inequality would be,

46+5x<70

5x<70-46

5x<26

x<26/5

x<5.2

so, she can

buy

5 gg at

maximum

in a month with the inequality 46+5x<70 for the given conditions.

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The total cost of a Jacket is $124.75 and the cost of pair of sneaker is $74.75.

Let us say that the cost of the pair of sneakers is X dollars.

According to the given situation,

Cost of One jacket is 50 dollars more than the cost of a pair of sneakers.

Cost of one jacket = $(50 + X).

Total cost of one jacket and one pair of sneakers is $200.

Total cost of jacket and sneakers = $200

We get,

X + (X+50.5) = 200

2X + 50.5 = 200

The above equation that we have got is linear equation in one variable because it has degree 1 and one 1 variable.

Further solving the equation,

2X + 50.5 = 200

2X = 149.5

X = 74.75

So, the cost of one pair of sneakers is $74.75

Cost of One jacket is $(X + 50.5).

Cost of one jacket = $124.75.

So, one jacket costs $124.75 and sneakers cost $74.75.

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Consider that the reservation costs $625. Moreover, it is necessary to pay additional $11 per person for food. If x is the number of people, it means that it is necessary to pay 11x dollars for x people.

THen, the total cost is $625 plus 11x dollars. If y is the cost of the class pool party, you have the following algebraic equation which expresses the given situation:

y = 11x + 625

If there are 26 people in the party, that is, if x = 26, the cost is:

y = 11(26) + 625

y = 286 + 625

y = 911

Hence, the cost is $911

The first tree is 28ft tall, and the second tree is 4 ft higher than the second one. Then we need to add 4ft to the height of the second tree:

The heigh of the first tree is 32ft

Answer:

Step-by-step explanation:

Let the dimensions be:

The area of rectangle is:

The second value of h is negative and therefore discarded.

So we get:

1.The value of the expression after simplify will be,

''negative 43 over 24 times j plus negative 1 over 12.''

Option D is true.

2. The equivalent expression will be;

⇒ - 19.5b - 6.9

What is mathematical expression?

Expression in math is defined as the collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is;

''The expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths.''

Now, We can write the expression in mathematical form as;

⇒ (- 1/8  j + 2/3) - (5/3 j + 9/12)

Solve the expression as;

⇒ - 1/8 j + 2/3 - 5/3 j - 9/12

⇒ - 1/8 j - 5/3 j + 2/3 - 9/12

⇒ j (-1/8 - 5/3) + 2/3 - 3/4

⇒ j (- 3 - 40)/24 + (8 - 9)/12

⇒ j (-43/24) + (- 1/12 )

This can be written as;

''negative 43 over 24 times j plus negative 1 over 12''

Therefore, The value of the expression after simplify will be,

''negative 43 over 24 times j plus negative 1 over 12.''

Option D is true.

2. The expression is given as;

3(−4.5b − 2.1) − (6b + 0.6)

Solve the expression as;

3(−4.5b − 2.1) − (6b + 0.6)

3 x -4.5b - 3 x 2.1 - 6b - 0.6

- 13.5b - 6.3 - 6b - 0.6

- 13.5b - 6b - 6.3 - 0.6

- 19.5b - 6.9

Thus, The expression is equivalent to 3(−4.5b − 2.1) − (6b + 0.6) will be;

⇒ - 19.5b - 6.9

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The probability of rolling a sum greater than or equal to 10 in rolling dice will be 1/6 or 0.1667.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

A standard pair of six-sided dice is rolled.

Since, All the possible outcomes are;

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6).

So, Total possible outcomes = 6 x 6 = 36

Now, The favorable outcomes which has sum greater than or equal to 10 are;

(4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)

So, Number of favorable outcomes = 6

Thus, The probability of rolling a sum greater than or equal to 10 in rolling dice

= 6/36 = 1/6 = 0.1667

Therefore, The probability of rolling a sum greater than or equal to 10 in rolling dice will be 1/6 or 0.1667.

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we have the expression

therefore

Simplify