bailey can hit 42 golf balls in 3 1/2 hours. if she hits golf balls at a constant rate,
Bayley can hit a single golf ball every 5 minutes
Now Bayley can hit 42 golf balls in 3 1/2 hours
Thus converting the 3 1/2 hours in minutes:
3 hours + 1/2 hours = 180 minutes + 30 minutes = 210 minutes
Bayley can hit 42 golf balls in 210 minutes
Thus let's say she takes 'x' minutes to hit one ball
Calculating the value of 'x' using direct proportion theorem:
[tex]\frac{x}{210}=\frac{1}{42}[/tex]
[tex]x*42 = 210[/tex]
[tex]x= \frac{210}{42}[/tex]
[tex]x = 5[/tex]
Thus Bayley can hit 5 golf balls every 1 minute
a^b if a=6 and b=7...............
what is 14.9 divided by 0.02
a square rug has an area 80ft which is the best approximation of the length of one side of the rug.....Explain...If you can show work
A ) 6.4ft
B ) 7.5ft
C ) 8.9ft
D ) 20ft
The length of one side of the square rug is found by taking the square root of the area of the rug, which is 80 square feet. The best approximation for this is 8.9 feet.
Explanation:This problem is about understanding the relationship between the area and the length of a side in a square. In a square, all sides are equal in length, and the area of a square is given by the equation Area = side*side. So, if the area is given, we can find the length of a side by taking the square root of the area.
Here, since the area of the square rug is 80 square ft., we find the length of one side by calculating the square root of 80. The square root of 80 is approximately 8.9ft
So, looking at the options given, the best approximation for the length of one side of the rug is option C) 8.9ft.
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Find the value of x when 2(x - 3) + 1 = 3x + 4
A) -1
B) -1/5
C) -9/5
D) -9
Answer: -9
Step-by-step explanation: Distribute: 2x - 6 + 1= 3x + 4. Combine like terms on the left side: 2x - 5 = 3x + 4. Subtract 2x from both sides: -5 = x + 4. Subtract 4 from both sides: x = -9.
color and draw to show a way to take apart 7. complete the subtraction sentence
(mary found 2 seashells and jason found 5 seashells on the beach when they cleaned them they discovered thay that 8 were cracked how many seashells dis they find together)plz help
identify the independent and dependent variables in the following y=4x+1
In the given equation y=4x+1, the independent variable is x, and the dependent variable is y. The independent variable is the cause, and the dependent variable is the effect. Therefore, any change in x will result in a change in y.
Explanation:In the given equation y=4x+1, the independent variable is x and the dependent variable is y. This is because the value of x is not dependent on any other variable, while the value of y depends on x. The variable y is dependent because it changes in response to the value of x.
Conceptually, the independent variable is what you have control over or manipulate, and the dependent variable is what you observe or measure. For example, in the equation y = a + bx, a is the y-intercept, b is the slope, x is the independent variable, while y is the dependent variable that changes according to the value of x.
Simply put, the independent variable is the cause, and the dependent variable is the effect. In the context of this equation, any change in x (independent variable) will cause a change in y (dependent variable).
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what is the discount rate for a $70 table on sale for $55 select correct answer A 15% B 21.4% c 27.3% D 78.6%
Is 774 odd or even number
A pair of in-line skates is on sale for $90 iF this price represents 9% discount form the original price,what is the original price to the nearest cent
The required original cost of the in-line skates is given as $100.00.
Given that,
A pair of in-line skates are on sale for $90, this price represents a 9% discount from the original price, and the original price to the nearest cent is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
Let the original price of the in-line skates be x,
according to the question,
0.9 [x] = 90
x = 90 / 0.9
x = $100
Thus, The required original cost of the in-line skates is given as $100.00.
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Alonzo's suitcase can weigh no more than 20 kilograms if he wants to take it on the airplane without paying a fee. His suitcase weighs 220 hectograms. How much weight will Alanzo have to take out of his suitcase to meet the weight limit?
Answer: 20 hg
Step-by-step explanation:
Given: Alonzo's suitcase can weigh no more than 20 kilograms if he wants to take it on the airplane without paying a fee.
Let x denote the weight of suitcase, then
[tex]x\leq20kg[/tex]
We know that 1 kg =10 hg
Therefore, 20kg=[tex]20\times10=200hg[/tex]
⇒ [tex]x\leq200hg[/tex]
Since, the weight of his suitcase is 220 hg.
The amount of weight will Alanzo have to take out of his suitcase to meet the weight limit will be :-
[tex]D=220-200=20[/tex]
Hence, 20 hg of weight have to take out of his suitcase to meet the weight limit.
A sofa is on sale for
$442, which is
35% less than the regular price.
What is the regular price?
the regular price of the sofa is $684.61.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, A sofa is on sale for $442, which is 35% less than the regular price.
Thus,
65% of the regular price = 442
The regular price = 445*100/65
Thus, Regular price = $684.61
Therefore, the regular price of the sofa is $684.61.
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The table represents a function.
x: -1, 2, 3, 5
y: 0, 3, 4, 6
Complete the statement by selecting from the drop-down menu. The rate of change in the function y=2x+5 is (ANSWERS: greater than, less than, or equal to) the rate of change of the function represented in the table.
Which of the answers listed above is the CORRECT answer?
Answer:
Greater than
Step-by-step explanation:
The function y=2x+5 is written in slope-intercept form, y=mx+b, where m is the slope (rate of change) and b is the y-intercept. The slope in this function is 2.
The slope of the function in the table is given by the formula for slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the first two points, we have
m = (3-0)/(2--1) = 3/3 = 1
The rate of change is 1. This is less than the first function, which means the rate of change of the function y=2x+5 is greater than the slope in the table.
The rate of change of y=2x+5 is 2 which is greater than the rate of change in the table which is 1.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
As per the given function,
y = 2x + 5
The slope-intercept form is given as, y = mx + c here m is the slope.
By comparing, slope = 2
As per the given table,
Slope = (difference in y's coordinate)/(difference in x's coordinate)
Slope = (3 - 0)/(2 - (-1)) = 3/3 = 1
Thus, slope of function is greater then the table.
Hence "Y=2x+5's rate of change is 2, which is higher than the table's rate of change of 1".
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Mary can paint a house 12 hours. if Nancy helps, it takes them 2 hours. without help, how long would it take Nancy to complete the same job?
Final answer:
To find out how long it will take Nancy to paint the house alone, we calculate her work rate by subtracting Mary's rate from their combined rate. This gives us Nancy's work rate as 5/12 of a house per hour, which means Nancy would take 2.4 hours to paint the house by herself.
Explanation:
To determine how long it would take Nancy to paint the house by herself, we can set up an equation based on the rates of work done by Mary and Nancy together, and by Mary alone. We know that Mary can paint a house in 12 hours, so her work rate is 1/12 of a house per hour. When Nancy helps, together they can paint the house in 2 hours, so their combined work rate is 1/2 of a house per hour.
To find Nancy's work rate, we set up the equation:
1/12 + 1/N = 1/2
Now, we solve for N (Nancy's time to paint the house alone):
1/N = 1/2 - 1/12
1/N = 6/12 - 1/12
1/N = 5/12
N = 12/5
N = 2.4 hours
Therefore, it would take Nancy 2.4 hours to complete the same job by herself.
A-6 pack Of Undershirts cost $13.98.This is $3.96 less than the cost Of buying 6 individual shirts. if each undershirt costs the same amount,how much does each undershirt cost when purchased individually
What is the slope of the line?
27y = 3x - 54
Fumi's backyard has an area of 10,359 Sq ft. write this in scientific notation
60 people rode a ferris wheel in 25 min how many can ride in 2 hrs
A function is represented by the values in the table.
x y
2 4
4 8
5 10
7 14
8 16
Choose from the drop-down menu to complete the statement.
The function represented in the table ? linear
A) Is
B) Is not
For the question mark at last sentence replace it with A or B
The function represented in the table is linear, so option A is correct.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given :
For x = 2, y = 4,
x = 4, y = 8...
As you can that the y is double of x,
So the equation of this condition is,
y = 2x
Hence, the function is dependent on x, and it is linearly dependent.
Therefore, The function represented in the table is linear.
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One wall of Kevin's living room measures 8 ft by 15 ft. Windows make up 22% of the surface area. What is the window area?
Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000. How many cars does he need to sell? Write an equation and solve.
Answer:
He need to sell atleast 10 car to make atleast $2000.
Step-by-step explanation:
Given : Bryan sells cars. He makes a salary of $500 a week, plus $150 for every car he sells. This week, he wants to make at least $2000.
To find : How many cars does he need to sell, Write an equation and solve.
Solution : He makes a salary = $500 per week .
He gets for every car sell = $ 150.
Let us consider the number of cars he need to sell = x.
Total cost for x car = $150 * x.
According to question he wants to make atleast = $2000.
We will use" greater than or equal to "sign for atleast then equation become:
150x + 500 [tex]\geq[/tex] 2000.
Now, we need to solve the inequality for x :
On subtracting by 500 both sides
150x [tex]\geq[/tex] 2000 -500.
150x [tex]\geq[/tex] 1500.
On dividing by 150 both sides ,
x [tex]\geq[/tex] 10.
Therefore, he need to sell atleast 10 car to make atleast $2000.
convert 189 feet per hour to feet per minute.
a student received a coupon for 17% off the total purchase price at a clothing store. let b be the original price of the purchase. use the expression b - 0.17b for the new price of the purchase. write an equivalent expression by combining like terms.
An equivalent expression for the given expression by combining like terms is 0.83b.
Given that, a student received a coupon for 17% off the total purchase price at a clothing store.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let b be the original price of the purchase.
So, new price =original price-17% of original price
⇒ new price =b - 17% of b
⇒ new price =b - 0.17b
= 0.83b
Therefore, an equivalent expression for the given expression by combining like terms is 0.83b.
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PLEASE HELP
1.A store increases the price of a sweater from $20 to $22.
What is the percent of increase?
2.Kevin buys 4 folding chairs. Each chair costs $13.50. The sales tax is 6.5%.
What is the amount of sales tax for Kevin's purchases?
3.Harriet's haircut costs $36.
As a tip, she gives the hairdresser 15% of this amount.
What is the total amount Harriet pays for her haircut, including tip?
4.At an appliance store, the price of a refrigerator is marked up 25% to $406.25.
What was the price of the refrigerator before the markup?
5.Clea estimates that a glass contains 250 mL of water. The actual amount of water in the glass is 279 mL.
To the nearest tenth of a percent, what is the percent error in Clea's estimate?
6.The price of a wallet is $32.95 and the sales tax is 7.5%.
What is the total cost of the wallet?
7.A car salesman had $65,100 in total monthly sales last month. He made $1,953 in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
58% of what number is 29
Answer:
50
Step-by-step explanation:
how to draw an area model for 1.1x2.4
Sales Tax is percent
a)increase
b)decrease
Discount is percent
a)increase
b)decrease
Tip is percent
a)increase
b)decrease
Which rational numbers is not equivalent to the others. 75%,3/4,0.75,7/50
The rational number 7/50 is not equivalent to the other numbers listed (75%, 3/4, 0.75) as it converts to a decimal value of 0.14, which is distinct from 0.75.
Explanation:The question asks which rational number is not equivalent to the others: 75%, 3/4, 0.75, or 7/50. To determine this, we can convert all the numbers to a common format, such as decimals or fractions, and compare their values.
First, 75% is equivalent to 0.75, as percent means "per hundred," so 75% is 75 per 100, which can be written as 75/100 and simplified to 3/4 or 0.75. Next, 3/4 is exactly 0.75 when converted to a decimal. This means that these three are equivalent to each other.
However, 7/50 is a different case. When we convert 7/50 to a decimal, we get 0.14, which is evidently different from 0.75. Therefore, 7/50 is not equivalent to the other rational numbers listed.
which parachute has a slower descent: a red parachute that falls 10 feet in 4 seconds or a blue parachute that falls 12 feet in 6 seconds?