Ninety-six golf balls were picked up at the
driving range and placed into two buckets.
One bucket has twenty-eight more balls
than the other bucket. How many golf
balls are in each bucket?
Answers
Answer: 34 in one bucket, 62 in the other
======================================================
Work Shown:
x = number of golf balls in bucket A
y = number of golf balls in bucket B
Let's say bucket B has more golf balls. More specifically it has 28 more golf balls, so,
y = x+28
The two quantities must add to 96 golf balls total.
x+y = 96
x+x+28 = 96
2x+28 = 96
2x = 96-28
2x = 68
x = 68/2
x = 34 is the number of golf balls in bucket A
y = x+28
y = 34+28
y = 62 is the number of golf balls in bucket B
-------------
Check:
x+y = 34+62 = 96
The answer is confirmed.
Related Questions
A local grocer cut his marketing budget by 54% last year. He spent only $650 on marketing this year and is happy with his decision. How much did the grocer spend on marketing last year? Round your answer to the nearest cent. Do not include units with your answer.
Answers
Given that the grocer spent only $650 on marketing this year, you know that this is 54% of his marketing budget last year.
You can rewrite a percent as a Decimal Number by dividing it by 100:
\(\frac{54}{100}=0.54\)Let be "x" the amount of money (in dollars) the grocer spent on marketing last year.
Knowing all the data, you can set up the following equation:
\(x-0.54x=650\)When you solve for "x", you get:
\(0.46x=650\)\(\begin{gathered} x=\frac{650}{0.46} \\ \\ x\approx1413.04 \end{gathered}\)Hence, the answer is: He spent $1,413.04 .
A line passes through -8,5 and has a slope of 3/4 write the equation in slope intercept form
Answers
The equation of the line in slope-intercept form is y = (3/4)x.
To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,
where m is the slope and b is the y-intercept.
Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).
First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.
Using (-8, 5) as the point and 3/4 as the slope, we have:
5 - 5 = (3/4)(-8 - x)
0 = (3/4)(-8 - x)
0 = (-3/4)(8 + x)
0 = -6 - (3/4)x
Next, we can solve for x:
(3/4)x = -6
x = -6 \(\times\) (4/3)
x = -8
Now that we have the value of x, we can substitute it back into the equation to find the value of b:
0 = -6 - (3/4)(-8)
0 = -6 + 6
0 = 0
So, the value of b is 0.
Finally, we can write the equation of the line in slope-intercept form:
y = (3/4)x + 0
y = (3/4)x.
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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 15 Southwest flights and observing whether they arrive on time. (a) Find the probability that exactly 10 flights arrive on time.
Answers
Probability that exactly 10 flights arrive on time is 53.33%.
Given that,
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.
Recently, Southwest Air had the best rate with 80% of its flights arriving on time.
Total number flights in sample = 15
Probability that exactly 10 flights arrive on time is,
P = 10/15 × 80%
= 0.5333
= 53.33%
Hence the required probability is 53.33%.
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Isabel went to the grocery store. She spent $15.91 on vegetables and $11.22 on fruit. She also bought some bread. If she paid with 3 ten dollar bills and got 45 cents back in change, how much did she spend on bread?
Answers
Based on an equation, the amount that Isabel spent on bread was $2.42.
How the equation was solved?To solve the equation for the amount spent on bread, we determined the total amount Isabel spent by subtracting the change from the total bills she had.
An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
The amount Isabel spent on vegetables = $15.91
The amount she spent on fruits = $11.22
Let the amount she spent on bread = x
The total amount she went with = $30 (3 x $10)
The change she got after giving the cashier $30 = $0.45
The total amount Isabel spent for vegetables, fruits, and bread = $29.55 ($30.00 - $0.45)
x = $2.42 ($29.55 - $15.91 - $11.22)
Check:
Vegetables = $15.91
Fruits = $11.22
Bread = $2.42
Total expenses = $29.55
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I need help to get good grade
Answers
Answer:
scale factor: 3
Step-by-step explanation:
For this I will take both A and A' points. So A is (2,2) and A' is (6,6) and since the shape increased in size that means our scale factor must be greater than 1. So all that we have to do is know is how did we get from this x value to that x value or in other words 2 times what equals 6 and it's 3. Then we would do the same for the y value but since it would be the same 2 times what equals 6 and it's still 3 so 3 is the scale factor.
45. Write an inequality that represents the graph. Explain it step by step please.
Answers
Answer: x < -4
Step-by-step explanation:
➜ First thing we notice is the open circle. This means we will use either < or >
➜ The next thing we notice is that the values are pointing to the left of the circle, this means we will be using <
➜ The last part we notice is that the dot is on -4. This is the value we'll use to write our inequtliy.
The last thing to do is to write the inequality using the parts we pointed out above:
x < -4
direction: simplify the following fractions
1.6/12
2.9/15
3.8/10
4.6/14
5.8/18
Answers
1.9/63 is the answer
Answer:
1.9/63 is the answer!!!!!
05. Leo earns $80 in a 4 day week. Workout his earning for:
1. 12 days
b) 3 weeks
Answers
Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. Answer exactly. 4 sin 30 ∘ =
Answers
The expression is simplified to 2
How to determine the valueIt is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.
From the table of exact values, we have that;
sin 15 = 0. 25
sin 30 = 0. 5000
sin 45 = 0. 7071
sin 60 = 0. 8600
sin 75 = 0. 9659
sin 90 = 1
To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000
4 sin 30°
⇒ 4 × 0. 5000
multiply through
⇒ 2
The value determined is 2
Thus, the expression is simplified to 2
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Sam buys
2 boxes of eggs costing £1.30 each
1 bottle of juice costing £2.60
3 baguettes
He pays with a £10 note and gets a 90p change.
Sam works out the cost of one baguette as £1.70
Is he correct?
You must show your working out.
Answers
Answer:
He is wrong
Step-by-step explanation:
£1.30(cost of 1 egg box) x 2=£2.60
2.60(2 egg boxes)+2.60(price of juice)=£5.20(amount spent without baguettes)
10-5.20(amount spent without baguettes)=£4.80
4.80/3=£1.60
£1.60=cost of one baguette
Sam is wrong as the cost of one baguette is £1.60
What is this slope of the liner function represented in the table -7 -1/7 1/7 7
Answers
Answer:
The answer is C and that idiot before me wasted a plot
Step-by-step explanation:
9. CONSTRUCT AN ARGUMENT Determine
if the following statement is true or false.
Construct an argument to defend your
response.
Proportions can only be used to solve
problems where the smaller values are
known and a larger value is unknown.
Answers
Answer:
Step-by-step explanation:
The correct answer is true. If you know that the relationship between quantities is proportional, you can use proportions to find missing quantities.
Describe how you would be able to identify a LINEAR RELATIONSHIP between the variables simply by looking at the data?
Answers
Given:
A table is given
Required:
To describe I am sorry, but I won't be able to help you with this question because it is too complex. Perhaps you would like to post it on Brainly.com
Explanation:
is company name, state and age a categorical variable?
Answers
Answer:
yes
Step-by-step explanation:
you can classify people into categories by name, state, and age. Hope this helps!
GIVING BRAINLIEST!
PLEASE HELP!
Answers
Answer:
x < 2 is the answer oh and do the 3rd line option
What is the sum of all the numbers less than 496 that divide evenly into 496?
Answers
Answer:
Step-by-step explanation : devise ----> divide496 = 2*2*2*2*31The 2's can be used in 5 ways, that is, not take anytake 1take 2take 3take all 4the 31 can be used in 2 ways, either take or not take itnumber of factors = 5*2 = 10but that includes taking all or noneif we correspond to none as the factor 1 and if we take all we would get 496the factors would be1, 2, 4, 8, 16, 31, 62, 124, 248, and 496
a car company uses the table below to show customers the appropriate amount of gas used when a car has been driven a certain number of miles.
if the car always uses the same amount of gas each time, how many gallons of gas would be needed to travel 480 miles?
A. 20
B. 24
C. 33
D. 39
Answers
Answer:
B. 24
Step-by-step explanation:
This is a simple ratio.If 1 mile = 0.05 gallons of gasoline, then 480 miles = 24 gallons of gasoline!screenshot included please help
Answers
Product B performed better in the study because only 67% failed to get relief with this product, whereas 75% failed to get relief with product A.
What is percentage?
A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a measurement system.
people got relieved from product A = \(\frac{5}{20}\times100\)
= 25%
people got relieved from product B = \(\frac{33}{100} \times100\)
= 33%
Hence,
Product B performed better in the study because only 67% failed to get relief with this product, whereas 75% failed to get relief with product A.
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Rodney and Josiah each bought a package of the same kind of cookies at
the store. Rodney ate 1/2 package of cookies on Monday and 1/3 of the same package
on Tuesday. Josiah 5/12 ate of his package on Monday and 1/2 of the package on
Tuesday. Who ate more? How much more?
Answers
9514 1404 393
Answer:
Josiah ate 1/12 package more
Step-by-step explanation:
Each of them ate 1/2 package on one of the days. On the other day, Rodney ate 1/3 = 4/12 of the package, and Josiah ate 5/12 of the package.
Josiah ate 5/12 -4/12 = 1/12 more of the package of cookies.
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Diane has 496 beads and Linda has 286 beads.
How many fewer beads does Linda have?
beads
Х
?
Answers
Answer: 210 fewer beads.
Step-by-step explanation: All you have to do is subtract the amount Diane has by Linda. And the answer you get is how many less beads Linda has. She has 210 fewer beads than Diane from 7ds (7ds is an anime lol and Diane is a character just a joke).
Please look at the photo. Thank you!
Answers
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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Why does rewriting fractions make it easier to compare the two fractions?
Answers
Answer:
If the two fractions simplify to fractions with a common denominator, you can then compare numerators. If the denominators are different, you can find a common denominator first and then compare the numerators. Two fractions are equivalent fractions when they represent the same part of a whole.
Step-by-step explanation:
The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines? There are no zeroes on the chart. What do I do
Answers
To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:
Examine the tables and identify a pattern or relationship between the x-values and y-values for each line.Determine the slope (rate of change) of each line by calculating the difference in y-values divided by the difference in x-values for any two points on the line.Once you have the slopes, compare them to see if they are equal or different.If the slopes are different, the lines intersect at a single point, which represents the solution to the system of equations.If the slopes are equal, the lines are parallel, and there is no solution to the system of equations.If the slopes are different, you can find the intersection point by solving the system of equations using either substitution, elimination, or another suitable method.For such more question on equations
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which property of equality was used.88 = 33 + 5x88 - 33 = (33 + 5x) - 33
Answers
Given the following equation:
\(88=33+5x\)You can see this step given in the exercise:
\(88-33=(33+5x)-33\)As you can notice, the number 33 is subtracted from both sides of the equation.
There is a property of equality that states that, if:
\(a=b\)Then:
\(a-c=b-c\)This property is called the Subtraction property of equality. This states that if you subtract from one side of the equation, you must subtract from the other side in orde to keep the equation balanced.
The answer is: Subtraction property of equality.
Need the correct answer to this please
Answers
Answer:
(d) $300
Step-by-step explanation:
Put the given numbers in the given formula and do the arithmetic.
A = 200 +200(0.05)(10)
A = 300
The value of the investment after 10 years is $300.
Aisha organized her books for 16 hours and her coin collection for 37 hours. What is the best estimate for the total time Aisha spent organizing?Drag and drop an answer into each box to correctly complete the sentences.
1/6 hours is closest to (0 hours, 1/2 hours, 1 hour, 1 1/2 hours, 2 hours) area. 3/7 hours is closest to ( 0 hours, 1/2 hours, 1 hour, 1 1/2 hours, 2 hours). Therefore, the best estimate for the total time Aisha spent organizing is close to
(0 hours, 1/2 hours, 1 hour, 1 1/2 hours, 2 hours)area.
Answers
Answer:
Step-by-step explanation:
You could change all the fractions so that they have the same denominator (bottom number) and then compare the numerators (top numbers) or change the numbers to decimals to compare them (divide the top number by the bottom number)
0 is 0/6 is 0.000
1/6 is 0.166
1/2 is 3/6 is 0.500
Maybe you can see that 1/6 is closer to 0 than to 1/2
3/7 is 0.42857 is pretty close to 3/6 which is 0.50000, right, that is 1/2.
So, rough estimate, the person spent 0 hrs + 1/2 hr
organizing...total= 1/2 hr
Si a y b son los catetos de un triángulo y c su hipotenusa determina el lado que falta a= 16,b=34*
Answers
Answer:
the aswer is b
Step-by-step explanation:
i
Given f(x)=x2+2x−8, find f(−2).
Question 2 options:
8
20
-8
-20
Answers
Answer:
-8 is the answers for the question
Step-by-step explanation:
please please give me brainlest
The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 30% are paid with a credit card, and 40% with a debit card. Twenty percent of the cash purchases, 90% of the credit card purchases, and 60% of the debit card purchases are for more than $50. Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash?
Answers
Answer:
Hence the probability that she paid cash is 0.105
Step-by-step explanation:
P(cash) = 0.3
P(credit card ) = 0.3
P(debit card ) = 0.4
P ( more than $50 | cash ) = 0.2
P (more than $50 | credit card ) =0.9
P (more than $ 50 |debit card ) = 0.6
P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )
= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4
= 0.57
P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)
= 0.2* 0.3 / 0.57
= 0.105