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4 years ago

One number is 9 more than 3 times another. If their difference is 29, what is the larger number?

Mathematics

2 answers:

vfiekz [6]4 years ago

6 0

Answer:

Step-by-step explanation:

x-3y=9

x-y=29

subtract

-2y=-20

y=10

x-10=29

x=39

hodyreva [135]4 years ago

3 0

Answer:

Step-by-step explanation:

$x,y-\text{numbers}\\\\\text{One number is 9 more than 3 times another:}\ x=3y+9\\\text{Their difference is equal to 29:}\ x-y=29\\\\\text{We have the system of equations}\\\\\left\{\begin{array}{ccc}x=3y+9&(1)\\x-y=29&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\(3y+9)-y=29\\3y+9-y=29\qquad\text{subtract 9 fro both sides}\\3y-y+9-9=29-9\qquad\text{combine like terms}\\2y=20\qquad\text{divide both sides by 2}\\\dfrac{2y}{2}=\dfrac{20}{2}\\y=10\\\\\text{Put it to (1):}\\x=3(10)+9\\x=30+9\\x=39$

Read more about equations at:

brainly.com/question/1214333

6 0

2 years ago

Graph the line that passes through the given point and has the given slope m. (3,10); m=-(5)/(2)

andriy [413]

Step-by-step explanation:

given a slope and a point that the line passes through you have 2 options

Option 1: Solve for the equation of the line so you can just use that to graph the line. In this scenario it would be y=(-5/2)x - (20/13)

Option 2: plot the given point and, based on the slope, plot the next point that it crosses. In this case the next point would be (5, 7). Then you can just draw a line using these 2 points.

5 0

3 years ago

Kobe, A'mari and DJ are raising money for their football team to take a trip to San Diego. Kobe collected $18.50 more than A'mar

ira [324]

Answer:

So Kobe collected $42.15

Step-by-step explanation:

Kobe, A'mari and DJ are raising money for the football team to take a trip to San Diego.

Let x = amount which Kobe collected

Let y = amount which Amari collected

Let z= amount which Dj collected.

Kobe collected $18.50 more than A‘Mari. This means

x= y + 18.5 - - - - - - 1

DJ collected $12.25 less than Kobe

z = x-12.25 - - -- - - - - 2

Total sum collected by the 3 boys

= $95.70 This means

x + y+ z= 95.70 - -- - -- - -3

Put x = y + 18.5 in equation 3 and also

x= z+12.25 in equation 3

y + 18.5 + y+ z= 95.70

2y +z = 95.70-18.5 = 77.2

2y +z = 77.2 - - - - - -4

z + 12.25 + y+ z= 95.70

y +2z = 83.45 - - - - - -- - 5

Multiply equation 4 by 1 and equation 5 by 2

2y +z = 77.2

2y + 4z = 166.9

-3z = -89.7

z = 89.7/3= 29.9

Put z =29.9 in 2y+z = 77.2

2y +29.9= 77.2

2y = 77.2-29.9= 47.3

y = 47.3/2 = 23.65

Put y=23.65 and z = 29.9 in equation 3

x + 23.65+ 29.9= 95.70

x = 95.70-53.55

=$42.15

So Kobe collected $42.15

6 0

4 years ago

Read 2 more answers

What do you add to 2/9 to make it a whole

Maksim231197 [3]

Answer:

7/9

Step-by-step explanation:

9/9 = 1 whole

2+7 = 9

8 0

3 years ago

Read 2 more answers

8xy= 2(2x + y) solve for y

STatiana [176]

Answer: $\displaystyle y= \frac{2\text{x}}{4\text{x} - 1}$

============================================

Work Shown:

$8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\$

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Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

Then factor out y and divide both sides by (8x-2)

Afterward there's the optional steps of simplifying (as shown in the final two steps).

5 0

2 years ago