Niall owes $187 to his cousin. However, he doesn't have any money right now. He hopes to earn some money by painting a house. He gets paid $34 for every 2 hours he paints. Which equation of a line models y, the amount of money he will have after paying back his cousin, in terms of x, the number of hours he spends painting?
Answer:
[tex]y=17x-187[/tex] where x>11
Step-by-step explanation:
Niall gets $34 for 2 hours.
So, he gets [tex]34/2=17[/tex] dollars per hour.
Now he owes $187 to his cousin.
Let the number of hours he works be = x
Let the money left with him after paying his cousin be = y
So, the equation forms:
[tex]y=17x-187[/tex]
Rather we can say it is :
[tex]y=17x-187[/tex] where x>11
If we want to know how many hours are needed to pay the debt, we can consider y = 0
[tex]17x-187=0[/tex]
[tex]17x=187[/tex]
[tex]x=187/17[/tex]
So, x = 11 hours
He needs 11 hours of work to pay back his cousin and after that all his earnings is 'y'. When x>11 then 'y' will have some money left.
a 96 ounce container of orange juice cost 4.80. at what price should a 128 ounce container be sold in order for the unit rate for both containers to be the same
The Suarez family paid $23.25 for 3 movie tickets.At that rate, could the family use a $100 gift certificate to buy 12 tickets?
By calculating the cost per ticket at $7.75 and then multiplying by 12, the total comes to $93.00. Therefore, the Suarez family can use their $100 gift certificate to buy 12 movie tickets.
Explanation:The Suarez family wants to find out if they can buy 12 movie tickets with a $100 gift certificate, given they paid $23.25 for 3 tickets. First, calculate the cost per ticket by dividing the total cost by the number of tickets purchased:
Total cost for 3 tickets: $23.25Cost per ticket: $23.25 ÷ 3 = $7.75Now, multiply the cost per ticket by the number of desired tickets to get the total cost:
Total cost for 12 tickets: $7.75 × 12 = $93.00Since $93.00 is less than the $100 gift certificate, the family can indeed use their gift certificate to purchase 12 movie tickets.
You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?
What is the range of the given function?
A.{x | x = –5, 1, 4, 6}
B.{y | y = –7, –1, 0, 9}
C.{x | x = –7, –5, –1, 0, 1, 4, 6, 9}
D.{y | y = –7, –5, –1, 0, 1, 4, 6, 9}
we know that
The Domain of the function are all the values of x that can take the function
in this problem the domain is
[tex]{x | x = -5, 1, 4, 6}[/tex]
The Range of the function are all the values of y that can take the function
in this problem the range is
[tex]{y | y = 9, 0, -7, -1}[/tex]
therefore
the answer is the option
B.{y | y = –7, –1, 0, 9}
7/9 x 6/49 multiply and simplify
Winnie wrote the following riddle: I ama number between 60 and 100. My ones digit is two less than my tens digit. I am a prime number
What is the quotient of 56,700 ÷ 15?
A 3,780
B 3,840
C 4,780
D 4,840
The answer is A: 3,780.
To find the quotient of 56,700 ÷ 15, we need to perform the division step-by-step:
First, set up the division problem: 56,700 ÷ 15.Divide the first two digits, 56, by 15. The closest is 3, so put a 3 above the line:3 × 15 = 45; subtracting 56 - 45 = 11.Bring down the next digit, 7, making it 117. Divide 117/ 15 = 7, so put a 7 above the line:7 × 15 = 105; subtracting 117 - 105 = 12.Finally, bring down the last digit, 0, making it 120. Divide 120/15 = 8 times:8 × 15 = 120; subtracting 120 - 120 = 0.Therefore, the quotient of 56,700 ÷ 15 is 3,780 which corresponds to option A.
1.
Round each number to the nearest hundredth.
What is the best estimate for the sum of 23.638 + 74.827?
A.
98.45
B.
98.46
C.
98.47
D.
98.48
Using the properties of equality to solve the equation -2 b + 7 = -13 you would ___
Add 13 and then Divide by -2
Add 13 and then add 2
Subtract 7 and then add 2
Subtract 7 and then divide by -2
Which of the following algebraic expressions could represent the sentence "the product of a number and 5 is 11."
X + 5 = 11
X - 5 = 11
X/5 = 11
5 x = 11
Which property of equality could you use to solve -3 x = 348
Subtraction property
Addition property
Division property
Multiplication property
To solve the equation -2b + 7 = -13, subtract 7 from both sides and then divide by -2.
Explanation:To solve the equation -2b + 7 = -13 using the properties of equality, you would subtract 7 from both sides first to isolate the variable. This gives you -2b = -20. Then, divide both sides by -2 to solve for b. This gives you b = 10. To write the sentence 'the product of a number and 5 is 11' as an algebraic expression, you would use the equation X * 5 = 11. This represents the multiplication property of equality, where the number (X) is being multiplied by 5. The property of equality you could use to solve -3x = 348 is the division property. To isolate x, divide both sides by -3. This gives you x = -116.
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How does the domain affect the range in a function?
What is 5 cm to km? is it 0,00005? if im wrong please correct me because tomorrow i have exam
Madison wants to make cookies for her little sister's birthday party. she is cutting a roll of cookie dough into piece that are 1/2 inch thick. if the roll is 13 inches long, how many cookies can she make?
Answer: There are 26 cookies from the roll.
Step-by-step explanation:
Since we have given that
Thickness of roll = 13 inches
Thickness of cookie that are cut off from the roll = [tex]\dfrac{1}{2}[/tex]
We need to find the number of cookies that are cut off from the roll.
So, Number of cookies is given by
[tex]\dfrac{13}{\dfrac{1}{2}}=13\times 2=26[/tex]
Hence, there are 26 cookies from the roll.
Why can't the product of two 2-digit numbers ever be two digits
The product of smallest two digit number gives the three digit number.
What is Product?In mathematics, a product is the outcome of multiplying two or more numbers together.
The multiplication of two or more numbers results in the product.
As, we know that the product means the multiplication of two numbers.
Now, if we multiply two dight number with a two digit number.
As, the greatest two digit number is 10.
So, 10 x 10 = 100
Thus, the product of smallest two digit number gives the three digit number.
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Mathhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
There are 9 redgumdrops,10 yellow gumdrops,and 15 orange gumdrops in a bag what is the ratio of gumdrops to red gumdrops in the bag?
scott was 63 3/8 in tall when he started seventh grade and 65 1/4 in tall when he started eight grade. how many inches did he grow during this time?
The number of inches that he grows during this time will be 1 7/8 inches.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Scott was 63 3/8 inches tall when he started seventh grade and 65 1/4 inches tall when he started eighth grade.
Then the number of inches that he grows during this time will be
⇒ 65 1/4 - 63 3/8
⇒ 264/4 - 507/8
⇒ 15/8
⇒ 1 7/8 inches
The number of inches that he grows during this time will be 1 7/8 inches.
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how do you find the answer to number 30?
Are these ratios proportional? 2 : 3 = 9 : 6
Mr.Dixon bought a whiteboard that was on sale for 1,989.99. The regular was 2,499.89. Which is the best estimate of the amount of money Mr. Dixon saved by buying the whiteboard on sale?
Mr. Dixon saved approximately $509.90 by buying the whiteboard on sale, calculated by subtracting the sale price from the regular price.
To estimate the amount of money Mr. Dixon saved by buying the whiteboard on sale, you subtract the sale price from the regular price. The regular price was $2,499.89, and the sale price was $1,989.99. So, the estimated savings would be:
Regular Price - Sale Price = Savings
$2,499.89 - $1,989.99 = $509.90
Therefore, the best estimate of the amount Mr. Dixon saved is $509.90.
if 7 units represent 98 liters find the value of 17 units
Question 2:
During his workouts last week, Allen jogged the same amount of time each day for 6 days. Use the following information to determine the number of minutes Allen jogged each day:
During each workout, he jogged and he rode his bike.
He rode his bike for 45 minutes each day.
He worked out for a total of 360 minutes last week.
What is the number of minutes that Allen jogged each day last week?
Sue wants to use mental math to find 7 x 53. Write an expression she could use.
Answer:
When we want solve expression mentally, that is, without writing down anything, a nice way is to separate number in simpler expressions, like tens for example.
So, in first place we could multiply 7 x 50, which involves a number expressed in tens, this product would be 350, then we multiply 7 x 3, which is 21, at the end, we sum both results 350 + 21 = 371. Therefore, the product is 371.
If we want to write an expression, it would be7 x 50 + 7 x 3 = 350 + 21 = 371
The cost of Ms. Clark's restaurant meal is $25.50.
As a tip, Ms. Clark gives the waiter 20% of the meal's cost.
What is the total amount Ms. Clark pays, including tip?
$26.01
$30.60
$32.64
$33.05
Answer:
30.60
Step-by-step explanation:
k12
To maintain her income, Susan must work 50 hours each week. Susan works 7 hours on Monday, Tuesday, and Wednesday, and 8 hours on Thursday. If the variable t stands for the amount of time over the rest of the week Susan will have to work to meet her goal, which of the following units could apply to that variable? A. hours B. jobs C. dollars D. weeks
Gabriella has 4 times as many eraser as Leona. Leona has 8 erasers. How many erasers does Gabriella have?
Ben needs to buy orange juice. He can buy 64 fl oz at the grocery store for $2.00, or he can buy 256 fl oz at the wholesale club for $7.50.
a) Find the unit price for the grocery store orange juice. Round your answer to the nearest thousandth.
b) Find the unit price for the wholesale club orange juice. Round your answer to the nearest thousandth.
c) Where should Ben buy the orange juice if he wants the best deal? Explain.
A certain shade of green paint requires 4 parts blue to 5 parts yellow. If you mix 16 quarts of blue paint with 25 quarts of yellow paint, will you get the desired shade of green?
The ratio of blue to yellow paint should be 4:5 to get the desired shade of green. Mixing 16 quarts of blue paint with 25 quarts of yellow does not meet this ratio; thus the exact shade will not be achieved.
Explanation:The subject of the question is Mathematics, and it involves the concept of ratios and proportions to achieve a desired color mix. To determine whether mixing 16 quarts of blue paint with 25 quarts of yellow paint will produce the desired shade of green, we must ensure that the ratio of blue to yellow in the mixture is the same as the required ratio. The desired ratio is 4 parts blue to 5 parts yellow. Simplifying this ratio, we have 4/5, which means that for every 4 units of blue, there should be 5 units of yellow.
Illustrating this with an equation:
(16 quarts blue) / (25 quarts yellow) = 4/5?
Reducing the given amounts,
16/25 = ? 4/5
Now, the simplified form of 16/25 is 16/25 itself, while 4/5 is equivalent to 0.8. Since 16/25 is not equivalent to 4/5, the mixture of 16 quarts of blue paint and 25 quarts of yellow paint will not give us the exact desired shade of green. Therefore, to get the precise shade, an adjustment in paint quantities to reflect the 4:5 ratio would be needed.
No, the desired shade of green will not be achieved with the given mixture of blue and yellow paint.
Explanation:To determine if you will get the desired shade of green, we need to compare the ratio of blue to yellow in the desired shade with the ratio of blue to yellow in the mixture. The desired shade requires a ratio of 4 parts blue to 5 parts yellow. The mixture has a ratio of 16 parts blue to 25 parts yellow. To compare the ratios, we can simplify them. The desired shade ratio simplifies to 4:5, and the mixture ratio simplifies to 16:25. Since these ratios are not equivalent, the mixture will not result in the desired shade of green.
Find the volume of a cone with a diameter of 16 m and a height of 8 m. 2143.57 m3 535.89 m3
cheese sticks that were previously priced "5 for $1" are now "4 for 1" find each percent change and show your work
a) find the percent decrease in the number of cheese sticks you can buy for $1.
____________________
b) find the percent increase in the price per cheese stick.
___________________
___________________
The number of cheese sticks you can buy for $1 has decreased by 20%, and the price per cheese stick has increased by 25%.
To find the percent change in quantity and price for the cheese sticks, we need to compare the old and new situations. Let's calculate both parts of the question:
a) Previously, you could buy 5 cheese sticks for $1, but now you can only buy 4 for the same amount. To find the percent decrease, we subtract the new quantity from the old quantity, divide by the old quantity, and then multiply by 100 to get a percentage.
Percent decrease = [(New - Old) / Old] × 100%
Percent decrease = [(4 - 5) / 5] × 100%
Percent decrease = [-1 / 5] × 100% = -20%
There is a 20% decrease in the number of cheese sticks you can buy for $1.
b) To find the price per stick before, we divide the total price by the number of sticks, which is ($1) / 5 = $0.20 per stick.
After the change, it's ($1) / 4 = $0.25 per stick. Now find the percent increase:
Percent increase = [(New - Old) / Old] × 100%
Percent increase = [(0.25 - 0.20) / 0.20] × 100%
Percent increase = [0.05 / $0.20] × 100%
Percent increase = 0.25 × 100% = 25%
There is a 25% increase in the price per cheese stick.
Hence, there's a 20% decrease in quantity and a 25% increase in the price per cheese stick.