1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kruka [31]
3 years ago
10

a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio

of white to striped golf balls to remain the same how many of each should he add>
Mathematics
1 answer:
wolverine [178]3 years ago
4 0

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

You might be interested in
On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 3) and Q(−3, 3). What is the length of Side
nikdorinn [45]
Distance = 4. Just count four spaces from Q to P since they have the same y coordinate (their slope is 0).
7 0
3 years ago
Read 2 more answers
The stem-and-leaf plot below gives the gas mileages (in miles per gallon) for 14 new cars. Use the plot to answer the questions
Sauron [17]

Answer:

a) 1

b) 58

c) 47

Step-by-step explanation:

don't really have a step by step explanation I just took the information from the chart and applied it to the questions

5 0
2 years ago
3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r
vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$.

Slope-intercept form of equation is given as $y=-2 x-2$.

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and

$$y_{1}=2 \text {. }$$

Also, the slope of the line is -2.

Hence, m=-2

Substitute the above values in point-slope form of equation given by $y-y_{1}=m\left(x-x_{1}\right)$

$$\begin{aligned}&y-y_{1}=m\left(x-x_{1}\right) \\&y-2=-2(x-(-2) \\&y-2=-2(x+2)\end{aligned}$$

Hence, point-slope form of equation given as y-2=-2(x+2).

Step 2 of 2

Solve y-2=-2(x+2) to write it as slope-intercept form given by y=mx+c.

$$\begin{aligned}&y-2=-2(x+2) \\&y-2=-2 x-4 \\&y=-2 x-4+2 \\&y=-2 x-2\end{aligned}$$

Hence, slope-intercept form of equation is given as y=-2x-2.

7 0
2 years ago
2. Given square CANE with diagonals
svlad2 [7]
What’s something goes up but never comes down?
6 0
3 years ago
2(3x+2)=2x-1+x solve
alina1380 [7]
First multiply and dstribute
a(b+c)=ab+ac
2(3x+2)=6x+4
6x+4=2x-1+x
add like terms
6x+4=3x-1
subtract 3x from both sides
3x+4=-1
subtract 4 from both sides
3x=-5
divide bothe sides by 3
x=-5/3
7 0
3 years ago
Other questions:
  • One teacher wants to give each student 1/3 of a slice of pizza. If the teacher has 6 slices of pizza, then how many students wil
    8·1 answer
  • Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the o
    14·2 answers
  • Convert 15 out of 20 into a decimal
    9·2 answers
  • How to simplify 6x 2(3x -9y 5) (-9)
    5·1 answer
  • What’s the correct answer to this problem ?
    11·1 answer
  • CAN someone help with measure of angles<br> RSV<br> VSU<br> UST
    5·1 answer
  • Solve for the exact value simplified<br> 5/7=x/10
    5·2 answers
  • I need help finding the missing lengths<br>​
    6·2 answers
  • help asap!! which of the relationships below represents a function with a greater rate of change than the function y= 2x+3?
    12·1 answer
  • I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!