The following triangle FOX is transformed using a rotation: Triangle FOX is shown. F is at negative 1, 1, O is at negative 2, 3, X is at negative 3, 0. Which could be coordinates of F'O'X' after the rotation? (4 points)
The answer is F=(1,1), O=(3,2), X=(0,3)
solve this inequality 2(4x-3)≥-3(3x)+5x?
Answer:
x ≥0.5
Step-by-step explanation:
Given : 2(4x-3)≥-3(3x)+5x.
To find : solve this inequality.
Solution : We have given that
2(4x-3)≥-3(3x)+5x.
Distributes 2 over (4x-3) and -3 over 3x.
8x - 6 ≥ -9x + 5x .
8x - 6 ≥ -4x .
On adding both side by 4x
8x + 4x - 6 ≥ 0 .
12 x - 6 ≥ 0
On adding both sides by 6.
12 x ≥ 6.
On dividing both sides by 12.
x ≥ [tex]\frac{6}{12}[/tex] .
x ≥ [tex]\frac{1}{2}[/tex] .
x ≥0.5.
Therefore, x ≥0.5
1. Daniel served Dinner for table 14. The check came to $100. The customers tipped him 25%. How much was his tip?
2. Sammy served lunch for table 7. The total came to $55. The customers gave a 15% tip to Sammy. How much was his tip?
3. Cat served dessert for table 3 The total cost was $20. The customers give a tip of 12% to cat. How much was your tip?
At the Yum Yum Cafe , the waiters come binder tips and divide the total by the number of waiters. Today’s tip total is $132, and three waiters are working. How much money in tips does each waiter get?
Daniel, Sammy, and Cat receive $25, $8.25, and $2.40 respectively in tips. The total tip amount for the day is $132, and with three waiters working, each waiter gets an equal share of $44 in tips.
Calculating Tips for Waiters
To calculate the tip for each waiter, we will multiply the total bill amount by the percentage of the tip and then convert that percentage into a decimal. Here are the step-by-step solutions for each waiter:
Daniel's Tip: For Table 14, the bill was $100. A 25% tip is calculated as $100 x 0.25 = $25.
Sammy's Tip: For Table 7, the bill was $55. A 15% tip is calculated as $55 x 0.15 = $8.25.
Cat's Tip: For Table 3, the bill was $20. A 12% tip is calculated as $20 x 0.12 = $2.40.
To find out how much each waiter gets from the total tips, we add up all the tips: $25 + $8.25 + $2.40 = $35.65. Since the total tip amount for the day is $132, we divide this by the number of waiters working, which is three: $132 / 3 = $44. Therefore, each waiter gets $44 in tips.
What is the x-intercept of a line that passes through the point (3, 4) and has a slope of 2?
PLEASE HELP
simplify the expression
2. 10r^(-7)t^3
Graph ƒ(x) = -x + 2. Click on the graph until the graph of ƒ(x) = -x + 2 appears.
Answer with Step-by-step explanation:
We have to graph f(x) = -x + 2
When x=0 , f(x) = 2
When f(x)=0 , x=2
Hence, the graph passes through the points:
(0,2) and (2,0)
So, the correct graph of f(x) = - x + 2 is the last one which is shown below
Jackson can lay 6000 ft² of tile in 3 h. What is Jackson’s tile-laying rate?
divide 6000 by 3
6000 / 3 = 2000
so he can do 2000 sq ft per hour
The answer by musiclover10045 is correct - 2000 is the answer. I got it right on my quiz.
If inflation is 4% a year compounded annually, what will it cost in 20 years to buy a house currently valued at $75,000.00?
Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
The cost of the house in 20 years valued currently at $75,000 is $1,64,250.
What is compound interest?Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
The formula for amount compounded anually:
A = P [tex](1 + \frac{R}{100})^{n}[/tex]
We have,
Principal = $75,000
Rate = 4%
Time = n = 20 years
The amount after 20 years:
A = P [tex](1 + \frac{R}{100})^{n}[/tex]
A = 75,000 [tex](1 + 0.04)^{20}[/tex]
A = 75,000 x [tex]1.04^{20}[/tex]
A = 75,000 x 2.19
A = $1,64,250
Thus,
The cost of the house in 20 years valued currently at $75,000 is $1,64,250.
Learn more about compound interest here:
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The table below represents the distance a person runs as a function of time:
Time distance meters
x f(x)
10 60
13 78
16 96
19 114
he average rate of change of the function between x = 10 to x = 16 is m/s and represents the person's speed. (3 points)
Given: -7x < -21.
Choose the solution set.
A. {x | x < -3}
B. {x | x > -3}
C. {x | x < 3}
D. {x | x > 3}
Please help me i really need help
What number is 30% of 150?.
Let f(x)=8^x.
Which function represents a transformation of f(x) by a vertical stretch with factor 2??
A- g(x)=1/2*8^x
B- g(x)=8^2x
C- g(x)=2*8^x
D- g(x)=8 1/2^x
Please help and give reasoning with your answer. I’m very unsure.
The function that represents a vertical stretch of factor 2 of f(x) = 8^x is g(x) = 2 * 8^x.
Explanation:The function that represents a vertical stretch of factor 2 of the function f(x) = 8^x is g(x) = 2 * 8^x.
To understand why, consider that a vertical stretch by a factor of 2 means that every y-coordinate in the graph is multiplied by 2. So, if we want to stretch the function f(x) = 8^x vertically by a factor of 2, we multiply the function by 2 to get g(x) = 2 * 8^x.
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n Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance? -16.75 + (5.72 + 16.75) Use the commutative property to get: -16.75 + (16.75 + 5.72) Use the associative property to get: (-16.75 + 16.75) + 5.72 On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total? -$866.84 $878.28 $895.03 $903.10
Answer:
Option B. $878.28
Step-by-step explanation:
On Monday, Elsbeth's bank account balance was = $-16.75
She deposited a check = $5.72
On Thursday, she deposited = $16.75
Her new balance = -16.75+( 5.72 + 16.75)
= $5.72
On Friday Elsbeth deposited her pay check for = $872.56
The account's final total = 872.56 + 5.72 = $878.28
Elsbeth's account's final total was $878.28.
Option B. $878.28.
which blood type was donates by the largest percent of people?
Megan has a bag of beads. She uses 28 beads to make each necklace. She makes 12 necklaces. Megan has 135 beads left over.
Do the dimensions of 9 cm, 40 cm, and 41 cm form a right triangle? explain.
Which of the following are the factors of t4 – 81? A. (t – 3)(t + 3)(t2 + 9) B. (t – 3)2(t + 3)2 C. (t – 3)(t + 3)2 D. (t2 – 9)(t2 – 9)
What is the function
What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?
y−1=4(x−3)
y+3=4(x+1)
I agree with the second answer. Was this correct?
Estimate the decimal factors, then multiply to estimate the product.
1. 5.3 rounded to the nearest whole number is ____ .
2. 7.9 rounded to the nearest whole number is ____ .
3. (5.3)(7.9) ≈ ____ .
Answer:
1. 5
2. 8
3. 40
Step-by-step explanation: So rounding the factors is an easy way to estimate the product of 5.3 and 7.9.
The real answer is 41.87 and 40 is a reasonable approximation, Your welcome.
x(x+8) = 256 square yards
solve for x
im having a lot of trouble please help
The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?
204 /6 = 34
29 +31 +33 + 35 +37 +39 = 207
4th number = 35
The fourth number is 35
When applying for a loan, you should _____.
Math Help??
What is the value of X?
Lester has sold $51 worth of sports drinks at his concession stand today. Each drink sells for $3. He hopes to sell at least $300 worth of drinks over the course of the entire day. Let x be the number of drinks he will sell over the rest of the day. Which inequality precisely represents the condition of Lester meeting his goal?
A.51 + 3x ≥ 300
B.51 + 3x > 300
C.3x ≥ 300+ 51
D. 3x > 300 + 51
Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution how much solution would he use if he cleaned the whole bathroom
When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?
PLZ HELPP ME WITH THIS MATH PROBLEM
If y = 2x - 3, then which of the following ordered pairs lies on the graph?