38 marbles are shared between John, David and Paul so that John gets twice as many as David. Paul gets 5 only. How many marbles does john get?

Answers

Answer 1

Answer:

11

Step-by-step explanation:

Answer 2

The total number of marbles John gets is 22 and this can be determined by forming the linear equation with help of the given data.

Given :

38 marbles are shared between John, David, and Paul so that John gets twice as many as David. Paul gets 5 only.

The following steps can be used in order to determine the total number of marbles john gets:

Step 1 - Let the total number of marbles John have to be 'x', let the total number of marbles David have to be 'y', and let the total number of marbles Paul have to be 'z'.

Step 2 - So, the linear equation that represents the total number of marbles is:

x + y + z = 38    --- (1)

Step 3 - According to the given data, John gets twice as many as David, that is:

x = 2y  --- (2)

Step 4 - According to the given data, Paul gets only 5 marbles, that is:

z = 5  --- (3)

Step 5 - Substitute the value of x and z in equation (1).

2y + y + 5 = 38

Simplify the above equation.

3y + 5 = 38

3y = 33

y = 11

Step 6 - Substitute the value of y in equation (2).

x = 2(11)

x = 22

So, the total number of marbles John gets is 22.

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Related Questions

Games with this rating contain content which the ESRB believes is generally suitable for those age 10 and older
Question 3 options:

A T Teen

B eC Early Childhood

C M Mature

D E10+Everyone

Answers

Answer:

D. Everyone 10+

Step-by-step explanation:

This is the most popular age group when it comes to age ratings. For example, Mario Kart is an Everyone 10+ game.

D E10+Everyone would be the answer

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

------------------------

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

to decrease an amount 37% multiply by

Answers

Answer:

if x is the amount =100%

then to decrease the amount by 37% =(100-37)% = 63% of x =x*63/100 =x*0.63

multiply the amount by 0.63

Step-by-step explanation:

Answer:

0.63

Step-by-step explanation:

if x is the amount=100% then to decrease by 37% multiply by 0.63

Write [tex]\sqrt[3]{x^{2} y^{2} }[/tex] using fractional exponents.

Answers

Answer:

[tex]x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^{2}y^{2}} = (x^{2}y^{2})^{\frac{1}{3}}\\\\\\[/tex]

          = [tex]=(x^2)^{\frac{1}{3}}y(^{2})^{\frac{1}{3}}\\\\\\= x^{2*{\frac{1}{3}}}y^{2*{\frac{1}{3}}}\\\\=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

evaluate the Expression when n= -4

[tex] {n}^{2} + 6n + 9[/tex]

Answers

Answer:

1

Step-by-step explanation:

(- 4)² + 6(- 4) + 9 = 16 - 24 + 9 = 1

the answer is one

16 + (-24) + 9 = 1

Use the Remainder Theorem to determine whether or not x + 3 is a divisor of p (x) = 2x^3 + 4x^2 - 2x + 12

PLEASE SHOW WORK.

Answers

Step-by-step explanation:

This is answer. I'm sri lankan. But our a/l exam have this mathematics questions

The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).

Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:

x + 3 = 0

x = -3

p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6

Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.

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What is the place value of the 5 in the number 1.458?
tenths
thousandths
ones
hundredths

Answers

Answer:

Step-by-step explanation:

1.458

The 5 is in the hundredths place

Determine if each graph represents a function explain your reasoning. Please do 9 and 10 :)

Answers

Answer:

9is an irrationalnfunction which would be 0=y^2+x^2 while 10 is y=-x^2+3

Tom have 47 quaters his dad gave him 14 how many top have in all

Answers

Answer:

61 or 33

Step-by-step explanation:

47+14=61 or 47-14 =33

Answer:

I can help

Step-by-step explanation:

Quarters in help is 61 but in money its $16. Hope this helps.

x - 2y < 2
graph the inequality

Answers

Answer:

y > 1/2x - 1

First, draw the dashed line y = 1/2x - 1 (slope intercept ; y = mx + b).

Start at -1 on the y-axis, and continue going 2 units to the right, and 1 unit up for the right side of the graph.

Then starting at -1 on the y-axis, continue going 2 units to the left, and 1 unit down for the left side of the graph.

Explanation:

Convert standard form (Ax + By = C) by isolating y from the rest of the equation.

Ax + By = C → y = -Ax/B + C/B → y = mx + b.

Given a standard form equation in inequality form,

x - 2y < 2.

Set it to slope-intercept as an inequality to find the slope and y-intercept.

When negating (making opposite) a variable, you flip the inequality.

x - 2y < 2 → x - 2y - x < 2 - x → -2y < -x + 2 → 2y > x - 2 → y > 1/2x - 1.

Ben drove 230 kilometers in 3 hours, and Pia drove 250 kilometers in 3 hours. Without making any calculations, who drove faster?

Answers

Pia because she traveled 250 km in 3 hours which is 20 more km than Ben in the same amount of time

Answer:

Pia drove faster than Ben, because they drove for the same amount of time, but Pia traveled farther. Pia drove 20 more kilometers than Ben, but she and Ben drove for the same amount of time.

Step-by-step explanation:

pls help me i need to finish this assignment​

Answers

i hope this helps good luck! :)

9514 1404 393

Answer:

  19) x = number of people; y = cost

  20) (people, cost) = (15, 120) and (25, 200)

  21) the rate of change is $8 per person

  22) y = 8x

  23) $320

Step-by-step explanation:

19) The problem statement tells you x is the number of people and y is the cost.

__

20) Writing the pairs (people, cost), we have ...

  (15, 120) and (25, 200)

__

21) The rate of change can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (200 -120)/(25 -15) = 80/10 = 8

The rate of change is $8 per person.

__

22) In point-slope form, the rule is ...

  y -y1 = m(x -x1)

  y -120 = 8(x -15)

  y = 8x -120 +120

  y = 8x

__

23) For x=40, y = 8(40) = 320

A party for 40 people will cost $320.

Solve the equation 11x + 16y = 13 for y.

The solution is y = ?
.

Answers

Answer:

y=13/16 minus 11x/16

I hope this helps :-)

(-4/3)x -6 =26

solve for x

Answers

Answer:x =24

Step-by-step explanation: If we reverse that we will get x= 32x3/4 which is 24

Answer:

x = -24

Step-by-step explanation:

(-4/3)x -6 =26

Add 6 to both sides:

(-4/3)x = 32

(-4/3) = -1.33333333

divide both sides by -1.33333333

x = -24

Substitute:

(-4/3)(-24) -6 =26

32 - 6 = 26

26 = 26

x = -24

how much larger is 33.333

Answers

More than all the numbers less that that.But not more than 33.334

Write the EXPLICT equation for the arithmetic sequence below:
11, 9, 7, 5, 3.

Answers

Answer:

-2

you take two away every time

Estimate the product. Solve using an area model and the standard algorithm. Remember to express your products in standard form. 33.2 × 21 ≈ _______ × _______ = _______ Show your estimation and area model on your paper. Then solve using the standard algorithm. What is the answer?

Answers

Answer:

Step-by-step explanation:

Using the area model and standard algorithm, we have:

                332   (tenths)

          ×       21  

                332

             664    

             6972   tenths = 697.2

              30      +      3      tenths

     1       300           32         332

    20     600           64         664

33.2 × 21 =    30     ×    1      =        30    

Graph the line with the equation y = 1/6x + 5

Answers

The equation of line is given by y = ( 1/6 )x + 5 , where the slope of the line m is = 1/6

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( 1/6 )x + 5   be equation (1)

Now , it is of the form y = mx + b where m is the slope and b is the y-intercept

So , the slope of the line A is given by

Slope m = ( 1/6 )

Now , the line is plotted in the graph below

Hence , the equation of line is y = ( 1/6 )x + 5

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The line with the equation y = 1/6x + 5 is graphed in the image attached below.

Line represents the linear relationship in the coordinates forming a line.

To plot the given equation:

[tex]y=\frac{1}{6}x+5[/tex]............................................1

Take points which satisfies the given equation,

Let x=0,

from equation 1

y=0+5

y=5

So, plot A=(0,5) on the number line.

Similarly, at x=6 from equation 1

y=6/6+5

y=6

Then, plot B=(6,6) on the number line.

Similarly, at x=-6 from equation 1

y=-6/6+5

y=4

Then, plot C=(-6,4) on the number line.

Thus, draw a line joining this points and extrapolate it from both the ends as shown in the image attached below.

Learn more about line, here:

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Solve for x. PLZZZzzzz

Answers

Answer:

Actually,there x is qual to ninty minus x because of vertically opposite side...cauce ninty minus x comes in vertical opposite side by dragging the ninty minus x down ...so finally x is equalto ninty minus x and two x is equal to nintynow divide ninty by nine it's your ans.

7.83 x 10-11
Write in standard from

Answers

Answer:

0.0000000000783

Step-by-step explanation:

Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.

Adrian has 12 pounds of coffee. He wants to repackage the coffee into bags of 2/3 pounds. How many bags of coffee can he make?

Answers

Answer:

18 bags of coffee

Step-by-step explanation:

12 divided into 2/3 is the same as   12 multiplied by 3/2

12 x (3/2) = 18

18 bags x( 2/3) pounds of coffee  each  = 12 pounds of coffee

 

Which equation represents the vertical line passing through (1.-9)?
A X=-9
В. x= 1
C y=-9
D. y = 1

Answers

Answer:

B

Step-by-step explanation:

if it is a vertical line, x=1 for all values of y

Answer:it’s B i just took this

Step-by-step explanation:

Determine the constant rate of change for each table.
1. Age (yr) Height (in.)

Answers

9514 1404 393

Answer:

2 3/4

Step-by-step explanation:

The rate of change in each case can be found by dividing right-column differences by left-column differences.

Table 1

  (56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change

__

Table 2

  (3 -0)/(4 -0) = 3/4 . . . the constant rate of change

_____

Additional comment

Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.

Table 1: 2 in/yr

Table 2: 3/4 °C/h

A quadratic equation is shown below.
6x^2 = 10x - 1
What are the solutions to the quadratic equation?

Answers

Answer:

Two roots are:

[tex]x = \frac{ 5 + \sqrt{19}}{6}\\x = \frac{ 5 - \sqrt{19}}{6}[/tex]

Step-by-step explanation:

[tex]6x^2 = 10x - 1\\6x^2 - 10x + 1 = 0\\\\x = \frac{ 10 + \sqrt{10^2-4*6}}{2*6}\\x = \frac{ 10 + \sqrt{76}}{12}\\x = \frac{ 5 + \sqrt{19}}{6}\\x = \frac{ 5 - \sqrt{19}}{6}[/tex]

I need help I'm dumb ​

Answers

Answer:

this is easy just place the value of x in the formula

Step-by-step explanation:

1) y=-2x-5 this wpuld equal y=-2(-6)-5

i am going to do one and you do the rest

y= -2(-6)-5

y= (12)-5

y= -60

Now i got 12 positive because is we look at the rule os signs -+-=+

so -2(-6)= 12

and the pharentesis= multiplication

what the answer for this pls help
ASAP will give brainliest

Answers

Answer:

X=8

Step-by-step explanation:

17x-4=12+15x

add 4 on both sides to get

17x=16+15x

now subtract 15x on both sides to get

2x=16

divide by 2 on both sides

you get

x=8

Answer:

im not too sure

Step-by-step explanation:

Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 per year. She will also spend about $100 a month commuting from her parents’ house to school. How much will her education cost her in total?

Answers

Answer:

$13,400

Step-by-step explanation:

Given the following data;

Tuition and book per year = $5,500

Transportation per month = $100

In 2 years;

Total tuition and book = $5,500 * 2 = $11,000

Total tuition and book cost = $11,000

Transportation;

There are 12 months in a year, in 2 years = 12 * 2 = 24 months.

Thus, total on transportation = $100 * 24 = $2,400

Total transportation cost = $2,400

[tex] Overall \; cost = Total \; tuition \; and \; book \; cost + Total \; transportation \; cost[/tex]

Substituting into the above equation, we have;

Overall cost = $11,000 + $2,400

Overall cost = $13,400.

Hence, Lakita's education will cost her $13,400 in total.

5 and 1/3 divided by 1 and 1/6

Answers

Answer: 4 4/7

Step-by-step explanation:

Express in the form n:1 ratio
16:8

Answers

Answer: 2:1

To get 1 on the right, you divide by 8, so you do the same thing on the left.

16/8:8/8
2:1

What does a,b,c,d,e equal to

Answers

Well it all determines on whatt the Equation is

Step-by-step explanation:

360÷60=6 one angle

a=18

b=36

c=84

d=108

e=114

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