HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score?

Answers

Answer 1

Answer:

A. y=x2 - 7

   y=x + 6

B. 7

Answer 2

Answer:

A.) 2x = y + 7

     y = x + 6

The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.

B.) They are both correct so Jacob's score is 13 points and Paul's is 19.

6 + 7 = 13 (the difference between scores in both equations)

6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.

Hope This Helps!


Related Questions

Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of
lemonade they sell.
Write an equation that shows how their total earnings, y, depend on the number of cups sold,
X.
Do not include dollar signs in the equation.
y =

Answers

Answer:

y= x • 2

Step-by-step explanation:

The amount of money they make is dependent of how many 2 dollar cups they sell.

(please crown me brainleist I need to level up)

The Budget Car Rental rates for renting a car for a day is shown in the table.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to given information,

a.) Initial cost of renting car (y - intercept (b)) = the total cost when the distance travelled = 0

that is :

blank - 1 : $ 100

b.) rate of change = slope

[tex] \dfrac{y2 - y1}{x2 - x1} [/tex]

[tex] \dfrac{105 - 100}{100 - 0} [/tex]

[tex] \dfrac{5}{100} [/tex]

[tex] \dfrac{1}{20} [/tex]

blank - 2 : [tex]\dfrac{1}{20}[/tex]

c.) Let's

[tex]y = mx + c[/tex]

and according to above data :

y = C

x = d

m = 1/20

c = 100

so, the required equation is :

[tex]c = \dfrac{1}{20} d + 100[/tex]

put this equation in blank - 3 ~

2.) A group of kids ate 3/4 of a pizza. If each kid ate a 1/8 piece of the whole pizza, how many kids shared the pizza? *youre answer?

Answers

6, because 3/4=6/8 so 6 kids ate it if each has 1/8

Factorials: Solve 3!

Answers

Answer:

6

Step-by-step explanation:

3! = 3 x 2 x 1 = 6

What is the relationship between the volume of a rectangular prism and pyramid that both have the same dimensions?

Question 23 options:

A) The volume of the pyramid is 1/3 the volume of the rectangular prism.
B) The volume of the pyramid is 3 times the volume of the rectangular prism.
C) The volumes are the same
D) There is no relationship

Answers

Answer:  A) The volume of the pyramid is 1/3 the volume of the rectangular prism.

Explanation:

Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.

Put another way: we can fit 3 pyramids into one rectangular block.

if Brian is driving 50 miles per hour how far did he drive​

Answers

Answer:

2.5 km long after 59 miles

Answer:

50 miles

Step-by-step explanation:

Line t passes through points (1, 11) and (5, 2). Line u is parallel to line t. What is the slope of line u?

Answers

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope of line t using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )

m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line u is - [tex]\frac{9}{4}[/tex]

In 1990 the profit of Gamma company was 11,218,614 . each year after 1990, profits fell by 13,189 on average. construct a linear model for this scenario and use it to solve the profits in the year 2020.

Answers

Answer:

4019800

Step-by-step explanation:

number name

4 million 19 thousand 800

solve for X : 3x²=5x​

Answers

⇒ 3x² - 5x = 0

⇒ (3x - 5) · x = 0

3x - 5 = 0

x = 0

x = 0, 5/3

A package of 5 pairs of insulated socks costs ​$26.45. What is the unit price of the pairs of socks​?

Answers

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

which square has more white space one big circle or small many circle explain

Answers

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

Consider the line y=-1/2x+9 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?

Answers

Answer:

Parallel line slope = - 1/2

Perpendicular line slope = 2

Step-by-step explanation:

Compare the graph of a linear inequality in two variables with the graph of a linear equation in two variables

Answers

Answer:

k but where is the graph

Step-by-step explanation:

Given f(x) = 10x.
a. Graph b(x) = f(x) - 30. Then complete the table of corresponding points for b(x)

Answers

Answer:

b(x) = 10x - 30

Step-by-step explanation:

You are given that f(x) = 10x, so in-order to graph the equation, you must plugin the value of f(x).

This gives the equation b(x) = 10x - 30

or y= 10x - 30

The slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the function -

f(x) = 10x

We have the function -

f(x) = 10x

Now -

b(x) = f(x) - 30

b(x) = 10x - 30

This is the equation of a straight line.

Refer to the graph attached.

The slope of the line is [m] = 10

The [y] intercept is at [c] = - 30

Therefore, the slope of the linear function → b(x) = f(x) - 30 is [m] = 10 and the [y] intercept is at [c] = - 30

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

There are 47 maple trees currently in the park. Park workers will plant more maple trees today
When the workers are finished there will be 54 maple trees in the park. How many maple tree
did the workers plant today?

Answers

Answer:

7

Step-by-step explanation:

Abboy has 800, he spend 160. What fraction of his original money does he have left

Answers

Answer:

80%

Step-by-step explanation:

800-160=640

640/800=.8

.8=80%

i don't understand the second part (see photo)

Answers

Answer:

Step-by-step explanation:

Prime numbers has only two factor 1 and the number itself

Here, 2 , 3  prime factors

36 = 2 * 2 * 3 * 3

One eight of a pizza pie is sold for 65 cent. How much will be received

Answers

Answer:

I don't know haha

Step-by-step explanation:

Salamat nalang sa points

Answer:

the whole pizza would cost $5.20

Step-by-step explanation:

1/8 = $0.65

8/8 = 1 = $5.20

0.65 × 8 = 5.2

is this what you mean??

Can someone please help me w/ this I need to plot the points on the graph (picture provied) then the answer is where ever the points met on the graph. ( please draw a line were they met u can screen shot the photo)
THE ANSWER IS SUPOSE TO LOOK LIKE THIS ( ___,___) IXL cc.2 8th grade

Answers

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

you can earn $33 in 8 hours. At this rate, how much would you earn in 5 hours​

Answers

Answer:

20 pounds and 62p

Step-by-step explanation:

33 divided by 8 then you times it by 5


Why might you write the equation in
point-slope form instead of slope-intercept
form?

Answers

Step-by-step explanation:

Slope-intercept form is useful when we know the y- intercept of a line. However, we are not always given this information. When we know the slope and one point which is not the y-intercept, we can write the equation in point-slope form.

I hope this will help you out!

The equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

We need to check why might we write the equation in point-slope form instead of slope-intercept form.

What is point-slope form?

Point slope form is used to represent a straight line using its slope and a point on the line. That means, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form. Different forms can be used to express the equation of a straight line. One of them is point slope form. The equation of the point slope form is: y - y1 = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.

We use point-slope form with one coordinate and slope.

Therefore, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

To learn more about the point slope form visit:

https://brainly.com/question/24436844.

#SPJ5

Hey!

Need help please...

[tex]\sf{What~is~2x~+~16= 8.[/tex]

Answers/w explanation ✅ Nonsense answers, or answers. that I didn't ask for will be reported.

Answers

Step-by-step explanation:

[tex]{ \qquad{ \sf \green{Answer \downarrow}}}[/tex]

Subtract 16  from both sides of the equation.

[tex]{ \qquad{\longmapsto \sf \red{2x + 16 - 16 = 8 - 16}}}[/tex]

[tex]{ \qquad{\longmapsto \sf \blue{Simplify \: now}}}[/tex]

Subtract the numbers

[tex]{ \qquad{\longmapsto \sf \red{2x = 8}}}[/tex]

Divide both sides of the equation by the same term.

[tex]{ \qquad{\longmapsto \sf \green{ \frac{2x}{2} = \frac{ 8}{2} }}}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]{ \qquad{\longmapsto \sf{ \qquad\longrightarrow\quad\sf \dfrac{\cancel{2x}}{\cancel{2} } = }}}\qquad\quad\sf\dfrac{\cancel{ 8}}{\cancel{2}}[/tex]

[tex]{ \qquad{\longmapsto \sf{x = {\qquad{ \sf \pink{ 4}}}}}}[/tex]

[tex]{ \red{ \rule{9cm}{0.1cm}}}[/tex]

May u give all the answers to these? please and thank you! <3
---------------------------------------------------------------------
Write an equation for the statement
(this applies for all of them <3)


1. The product of nineteen and a number x is seven

2. The sum of a number x and negative thirty is two

3. A number x divided by negative twenty-seven is eight

4. Twelve less than a number x is five

5. One-third of a number x is three​

Answers

Answer:

1. 19 (x) = 7

2. -32 + x = 2

3. x ÷ -27 = 8

4. x - 12 = 5

5. 1/3 (x) = 3

Step-by-step explanation:

:)

please help me with this maths questions

Answers

Answer:

yes in this problem u would multiply the exponents due to the parenthesis, equaling 5^18

4×8 is it positive or negative

Answers

Answer:

4 × 8 = 32 so it is positive

Step-by-step explanation:

Answer:

Hi, 4x8 is positive.

Step-by-step explanation:

4x8=?

4+4+4+4+4+4+4+4=?

4x8=32

Since both numbers are positive, the answer will also be positive.

Hope this helps!!

The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380​

Answers

B. 350, 351, 352, 353, 354, 355, ‘356’, 357, 358, 259, 360

PLEASE HELP!! 20 POINTS EACH

Joe's dog ate 8 cans of dog food this week. Each can contained 58.7 grams of protein. How much protein was this in all?

Please and thank you!!

Answers

Answer:

443.2 grams

Step-by-step explanation:

Each can contains 55.4 grams of protein, and there are 8 cans, so the answer would be 55.4*8 = 443.2 grams.

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?

Answers

Answer:

The slopes of both are m=6

Length of AB=6.082

Length of the image: 3.5 * 6.082 = 21.287

Answer:

Step-by-step explanation:

What is the axis of symmetry of the quadratic function y = 2(x + 3)2 + 5?

Answers

Answer:

I would answer it correctly but only 5 points -_-

Step-by-step explanation:

it is not written in the correct format therefore it does not have an axis of symmetry

Find the values of x and y.
т
>
75°
45
(6x + 3)

Answers

Answer:

X=12°

y=60°

Step-by-step explanation:

75=6x+3

x=12°

y=180-(45+75)

y=60°

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