In a card game, Bryce scores three times as many points as Jordan. Jordan scores four points fewer than Keturah, and Keturah scores two times as many points as Amelia.



If Amelia scores 5 points, how many points did Bryce score?

Group of answer choices

A. 6

B. 10

C. 18

D. 5

The equation of the linear function is represented by the table given in the slope-intercept form is y = x -1.

What is an equation of a line?

A line's equation is a single representation of all of the line's points. The general form of a line equation is ax + by + c = 0, and each point on the line satisfies this equation. The slope of the line and a point on the line are the two necessary components to create the equation of a line.

The equation of a line, in the slope-intercept formula:

y = mx + b

In which,

           m is the slope, that is, how much y changes when x changes by 1.

           b is the y-intercept, that is, the value of y when x = 0.

           Given two points (x,y), the slope is the change in y divided by the change in x.

We have points (-1, -2) and (1, -4).

[tex]m = \frac{(-2 - (-4))}{1 - (-1)}[/tex]

m = 1;

Then,

y = 1x + b

Point (-1,-2) means that when x = -1 and y = -2, we use this to find b.

y = 1x + b

-2 = 1(-1) + b

b = -2 + 1

b = -1

Thus,

y = x -1.

Hence, the equation of the linear function is represented by the table given in the slope-intercept form is y = x -1.

To learn more about the equation of a line visit,

https://brainly.com/question/13763238

#SPJ1

For 0 < a < b <  1,  a^x < b^x, for x < 0.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given,  0 < a < b < 1.

Assuming a = 0.25 and b = 0.5.

∴ (0.25)^x < (0.5)^x for x > 0, again assuming x to be 2.

∴ (0.25)^2 = 0.625 and (0.5)^2 = 0.25.

Now, 0.625 > 0.25 which is not satisfying a^x < b^x, for x > 0.

Therefore, if 0 < a < b <  1, then a^x < b^x, for x < 0.

learn more about inequalities here :

https://brainly.com/question/11612965

#SPJ1

Each of Aaron's pals receives nine (9) rocks in total.

The question states that,

Aaron collects a total of 54 rocks at the beach.

He wants to give an equal number of rocks to six (6) of his friends.

It is given that let 'r' be the number of rocks each of his friends gets.

The required equation is;

Rock's Aaron's friends get,

→ 6*r = 54

   r = 54/6

   r = 9

The total number of rocks each of Aaron's friends get is 9.

To learn more about equation click here:

brainly.com/question/14686792

#SPJ4

Answer:a. 24

b. 14

Step-by-step explanation:

a. 3ab=

3*a*b=

3*4*2=

12*2=24

b. a+5b=

a+5*b=

4+5*2=

4+10=14

Answer: a) 24

              b) 14

Step-by-step explanation:

step1: We have to substitute the numbers.

step2: Then finish the answer.

a) 3ab = 3 x 4 x 2 = 24

b) a+5b = 4 + 5 x 2 = 4 + 10 = 14

Answer:

The length = 5x + 25

Step-by-step explanation:

A = l x w

The quotient is x²+x+1 - 14/(x-1) after divide x³-15 by x-1.

What is synthetic division?

In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

The divisor is x - 1.The dividend is (x³-15).

Step 1:Take the constant term of the divisor with the opposite sign and write it to the left.

Write the coefficients of the dividend to the right (missed terms are written with zero coefficients).

Step 2:Write down the first coefficient without changes:

Step 3:Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Step 4:Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).Add the obtained result to the next coefficient of the dividend, and write down the sum

Step 5:Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).Add the obtained result to the next coefficient of the dividend, and write down the sum.

We have completed the table and have obtained the following resulting coefficients: 1,1,1,−14.

All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

The quotient is x²+x+1 and the remainder is -14.Therefore (x³-15)÷(x-1) = x²+x+1 - 14/(x-1)

To learn more about synthetic division, click on below link:https://brainly.com/question/28824872#SPJ1

64 unique extensions are there with no repeated digits.

Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged.

For the 3-digit area code, the first digit can be any digit from 2 through 9, and each of the two digits that follow can be any digit from 0 through 9. That's a total of 8 × 10 × 10 = 800 different combinations.

Given:

A school district telephone system has three-digit extensions.

So,  first digit cannot be zero then we have possibility of total 8 digits.

and the last number is a nine.

unique extensions are there with no repeated digits

= 8 x 8 x 1

= 64

Hence, 64 unique extensions are there with no repeated digits.

Learn more about Combination here:

https://brainly.com/question/1561989

#SPJ1

Answer:

-2.475

Step-by-step explanation:

Answer: 14=2x

Step-by-step explanation:

the answer is 14=2x7=14

The equation of the graph represented by the figure is f(x) = |x - 3| + 5

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

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation is f(x) = |x - 3| + 5

Read more about equations and graphs at

https://brainly.com/question/28904963

#SPJ1

The number of wrapped present with 20 centimeters of tape is given as 5 presents.

In this question, we have the following values

12 centimeters of tape was used to wrap 3 presents

hence we would have

12 = 3 presents - - - - 1

Then we are to know the presents that would be wrapped with the use of 20 centimeters of tape.

we would have

20 = ? presents - - - 2

We have to bring the equations together

12 = 3 presents

20 = ? presents

? is the presents that is to be wrapped with 20 centimeters of tape. It is our unknown.

We would have to cross multiply

12 x ? = 3 x 20

12? = 60

We would have to divide through by 12 in order to get the unknown

? = 60 / 12

? = 5

Hence the number of presents that she wrapped is given as 5

Read more on Unit rates here: https://brainly.com/question/4895463

#SPJ1

A person must have a score of 126.26 to qualify Mensa.

it is given that,

Mean [tex](\mu) = 100,[/tex]

Standard deviation [tex](\sigma) = 15[/tex].

A person must score in the upper 4% of the population,

100% - 4% = 96% = 0.96

P(X < Xo) = 96% = 0.96

P(X < 1.7507) = 0.96          ....................................using the Normal distribution table,

Or, when the Invnorm function is used, Invnorm(0.96) = 1.7507

Therefore, The required value of X is,

[tex]Z = \frac{(X - \mu )}{ \sigma }[/tex]

1.7507 = (X - 100) / 15

X - 100 = 26.26

X = 100 + 26.26

X = 126.26

thus, the score a person must have to qualify Mensa is 126.26.

know more about Standard deviation here: https://brainly.com/question/14746236

#SPJ4

The length of TS, using similar triangles, is given as follows:

TS = x = 25.

Similar triangles are two triangles that share these two features:

In the context of this problem, the similar triangles are given as follows:

STU and SQR.

The proportional side lengths from these two similar triangles are given as follows:

Hence the proportional relationship that relates these lengths on the similar triangles is given as follows:

x/45 = x - 5/36

Applying cross multiplication, the length of TS, equals to x, is obtained as follows:

45(x - 5) = 36x

45x - 225 = 36x

9x = 225

x = 225/9

x = 25.

The diagram is given by the image shown at the end of the answer.

More can be learned about similar triangles at brainly.com/question/11920446

#SPJ1

What does 3x-19 equal? You can find x without it being an equation

The solution is, the value of x is 6.33.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

(3x-19) = 0,

here, we have to make the given expression simple, as we have to find the value of x.

so, we get, by isolating the variable & numbers,

adding 19 on both sides we get,

3x = 19

dividing both sides by 3, we get,

or, x = 19/3

or, x = 6.33

Hence, The solution is, the value of x is 6.33.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ2

The equation that model the total amount of money Dominique spends on travel each day if her route to work is x miles long is 3 + 1.25x = 11.75.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, Dominique uses a car service company to travel to work and back home.

The company charges a ride fee of $3.00 and $1.25 per mile. The appropriate equation will be:

3 + 1.25(x) = 11.75

where x = number of miles

3 + 1.25(x) = 11.75

3 + 1.25x = 11.75

This illustrates the equation.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

The length of the chord used in this situation is approximately 40.54 ft.

To find the length of the chord used in the situation, we can use the formula for the chord length in a circular arc:

Chord length = 2√(r² - (r - h)²)

where r is the radius of the arc and h is the measure of the middle ordinate.

Given that the radius of the arc is 70 ft and the measure of the middle ordinate is 6 ft, we can substitute these values into the formula:

Chord length = 2√(70² - (70 - 6)²)

Chord length = 2√(4900 - 4489)

Chord length = 2√(411)

Chord length ≈ 2 * 20.27

Chord length ≈ 40.54 ft

Therefore, the length of the chord used in this situation is approximately 40.54 ft.

Learn more about the chords here:

https://brainly.com/question/15298662

#SPJ4

The expression that is equivalent to the given expression is 6y³ + 8y⁵

From the question, we are to determine the expression that is equivalent to the given expression

The given expression is

2y (3y^2 + 4y^4)

This can be properly written as

2y (3y² + 4y⁴)

Now, to determine the expression that is equivalent to this expression, we will expand the expression by applying the distributive property.

2y(3y² + 4y⁴)

2y(3y²) + 2y(4y⁴)

Multiplying

6y³ + 8y⁵

Hence,

The expression is 6y³ + 8y⁵

Learn more on Evaluating an expression here: https://brainly.com/question/28058543

#SPJ1

Answer:

The answer is (1, 6)

Step-by-step explanation:

The equation of the given line written in the slope-intercept form is: y = 21x + 10.25.

The slope or gradient of a line in mathematics is a quantity that specifies both the direction and the steepness of the line.

Note that the general slope equation is:

y = mx + b

Where

m is the slope of the line and

b is the y-intercept.

In this specific instance, m is the change in the price of the ticket

b is the additional fee value that needs to be included for each ticket

Hence, the cost of the ticket (y) is given as:

y = (change rate of x) + added fee to every order

Where rate of change = 21; and

The fee added to each order is 10.25

Given the above, the general equation becomes:

y = 21x + 10.25

Learn more about the slope:
https://brainly.com/question/3605446?
#SPJ1

The equation, y = 3x - 15, written in standard form is 3x - y = 15

From the question, we are to write the given equation is standard form.

The given equation is

y = 3x - 15

The standard form of a linear equation is

Ax + By = C

Where A, B, and C are constants

x and y are variables

Now, we will write the given equation is the standard form of a linear equation.

y = 3x - 15

Substract y from both sides

y - y = 3x - y - 15

0 = 3x - y - 15

That is,

3x - y - 15 = 0

Add 15 to both sides of the equation

3x - y -15 + 15 = 0 + 15

3x - y = 15

Hence, the standard form is 3x - y = 15

Learn more on Writing an equation in standard form here: https://brainly.com/question/1958920

#SPJ1

Step-by-step explanation:

2x - 27 + 3x + 27 = 180

5x = 180

x = 36

The time that It would take  for the value of the account to reach $2,860 is; 21.6 years

We are told that a person invested $440 in an account growing at a rate allowing the money to double every 8 years. Thus, the account balance can be modeled by the equation;

A = 440(2)^(t/8)

where;

A is final amount

t is in years

We want to find t when A = 2860. Thus;

2860 = 440(2^(t/8))

divide both sides by 440 to get;

6.5 = 2^(t/8)

log(6.5) = (t/8)log(2)

t = 8 * log(6.5)/log(2)

t ≈ 21.604

Read more about compound interest at; https://brainly.com/question/24924853

#SPJ1

Let x denote the score. Assuming x follows normal distribution with

mean m = 70 and SD = 5 ,

we first calculate P( x < or = 80)

The SNV is z = (x — m) /SD

When x = 80, Z = ( 80 — 70)/5 = 2

So, P( x < or= 80)

Given that total number of students is

learn more about binomial distrubution click here:

https://brainly.com/question/9325204

#SPJ4

The rent for seven months is 35000 and a tenant hire the room for Rs 55,000 at the same rate of rent for 11 months

The rent of a room for 4 months is Rs 20,000.

The rent of a room for 1 month is Rs 20,000./4

The rent of a room for 1 month is Rs 5000

The rent of a room for 7 months is Rs 5000 x 7

The rent of a room for 7 months is Rs 35000

Now we need to calculate the number of month a tenant hire the room for Rs 55,000 at the same rate of rent

The rent is 5000 for 1 month

The rent will be 55000 for 1/5000 x 55000 = 11 months

Therefore, the rent for seven months is 35000 and a tenant hire the room for Rs 55,000 at the same rate of rent for 11 months

To learn more about unitary method refer here

https://brainly.com/question/24587372

#SPJ9

Answer:

B No solution

Step-by-step explanation:

3(x+ 4) = 3x + 4  Distribute the 3

3(x) + 3( 12) = 3x + 4

3x + 12 = 3x + 4   There is not number that I can multiply by 3 and then add to 12 on one side and add to 4 on the other side of the equal sign to make a true statement, so the answer is no solution.

3x + 12 = 3x +4  Subtract 3x from both sides

12≠4.  A false statement means no solution.

When the equation is simplified and the coefficient of the variable (the number before the letter) is the same on both sides of the equation and the constraints (the numbers without letters) are different, this will result in no solution.

[tex]\fbox{90}[/tex]

In order to find 36 is 40% of what number, we will need to use the following formula:

[tex]number\times100/Percent[/tex]

[tex]\frac{36\times100}{40}[/tex]

[tex]36\times100=3,600[/tex]

[tex]3,600\div40[/tex]

[tex]=90[/tex]

The solution of the number in the expression ''40% of a number is 36'' is 90.

Given that,

To find the solution for 40% of that number is 36.

Used the concpet of percentage which stated that,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Let us assume that the solution of the given condition is x.

So, it can be written as,

[tex]40\% \times x = 36[/tex]

[tex]\dfrac{40}{100} \times x = 36[/tex]

Multiply both sides by 100,

[tex]40x = 36 \times 100[/tex]

[tex]40x = 3600[/tex]

Divide both sides by 40,

[tex]x = \dfrac{3600}{40}[/tex]

[tex]x = 90[/tex]

So, the solution for the number is 90.

To learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ6

The two triangles are congruent by SAS criterion.

Verification:

To learn more about SAS criterion, refer to https://brainly.com/question/22472034

#SPJ1