Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?
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Answer: The first graph is the right graph according to the given situation.
Step-by-step explanation:
Given: Becky created a graph to represent her distance away from home one afternoon.
She left home and ran to the park⇒ She started running from zero distance from the home .⇒the second and fourth graphs are wrong .
After that she met some friends and stayed at the park, then walked back home using the same route.⇒ The first one is correct because there we can see the graph is parallel to time axis for a interval but in the third one it shows that she she hasn't took rest .
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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)
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PLEASE HELP
simplify the expression
2. 10r^(-7)t^3
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= 10t^3 / r^7
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What is the function
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Megan has a bag of beads. She uses 28 beads to make each necklace. She makes 12 necklaces. Megan has 135 beads left over.
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336. If you are asking how many beads she had before making the necklaces it is 471. If you are asking how many necklaces can she make with the leftover beads it is about 4. Hope this helps plz mark a crown.
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?
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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 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)
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I agree with the second answer. Was this correct?
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
Answers
Since Lester wants a minimum of $300, he needs the amount to be equal to or greater than 300, because if it were any less he would not meet his goal.
> 300
Every drink costs $3, and x represents the number of drinks he needs to sell to get at least $300. Multiplying 3 and x together will give us the rest of the $300 answer.
3x > 300
We cannot forget that Lester already has $51, however, so we will add this to the amount of money from the rest of the drinks he needs to sell.
51 + 3x > 300
This makes A. our final answer. I hope my explanation made sense!
Jackson can lay 6000 ft² of tile in 3 h. What is Jackson’s tile-laying rate?
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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.
A triangle has sides of lengths 6, 2, 7. Is it right triangle?
Answers
All right-angle triangle with the opposite squared + adjacent squared = hypotenuse squared.
6² + 2² ≠ 7²
Therefore the triangle is not a right angle triangle
Answer is B.
Graph ƒ(x) = -x + 2. Click on the graph until the graph of ƒ(x) = -x + 2 appears.
Answers
The last graph is correct, with the points at (0,2) and (2,0)
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
What number is 30% of 150?.
Answers
30% of 50=45
Your answer is 45 because...
150/x=100/30
(150/x)*x=(100/30)*x
150=3.33333333333*x
(3.33333333333) to get x
150/3.33333333333=x
45=x
x=45
Your answer is...
x=45
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?
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75000*2.2=$164334 as the value of the house in 20 years
☺☺☺☺
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.
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The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?
Answers
204 /6 = 34
29 +31 +33 + 35 +37 +39 = 207
4th number = 35
The fourth number is 35
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
Answers
_________________________________
Explanation:
______________________________________________
(1/3) / (3/5) = x / (5/5) ; solve for "x" ; in which "x" is the number of bottles used to clean the whole bottle;
Rewrite as:
(1/3) / (3/5) = x / (1) ;
Rewrite as: (1/3) / (3/5) = x ;
{since "x / 1 = x" ; since any value, divided by "1", results in that same value}.
_________________________________________
(1/3) / (3/5) = x
(1/3) / (3/5) = (1/3) * (5/3) = (5*1) / (3*3) = x = 5/9 .
_________________________________
The answer is: "5/9 of a bottle" .
_________________________________
Next, what we have to do is compare the statements. That will be;
3/5 of bathroom=1/3 solution
1=Y
I represented the unknown with Y
Next, you need to cross and multiply. That means 1 will multiply 1/3 to give 1/3 and Y will multiply 3/5 to give 3Y/5. So you will have;
3Y/5=1/3
Cross and multiply again. 5 will multiply 1 to give 5 and 3Y will multiply 3 to give 9Y. That will be;
9Y=5
Divide both sides by 9. That will be;
Y=5/9
The answer is 5/9 of the bottle.
Hope that helped. Have a nice day
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.
Answers
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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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)
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The answer is F=(1,1), O=(3,2), X=(0,3)
When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?
Answers
[tex]2.3\times10^5\times3.5\times10^7[/tex]
Rearranging the expression, we can group the exponents and coefficients together:
[tex]2.3\times3.5\times10^5\times10^7[/tex]
Multiplying each out, we notice that since [tex]10^5[/tex] and [tex]10^7[/tex] have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:
[tex]2.3\times3.5\times10^{5+7}=8.05\times10^{12}[/tex]
The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and adding its exponents.
We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition. We know that m∠ZAB + m∠CAB = 180° by the . We also know m∠CAB + m∠ACB + m∠CBA = 180° because . Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the .
Answers
To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC and use the fact that angles in a triangle add up to 180°. Angle ZAB and CAB are a linear pair, so they add up to 180°. By substitution, we can conclude that m∠ZAB = m∠ACB + m∠CBA.
Explanation:To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC. Angle ZAB is an exterior angle created by the extension of side AC. Angle ZAB and CAB are a linear pair, which means they add up to 180°. We also know that angle CAB + angle ACB + angle CBA = 180° because the angles in a triangle add up to 180°. Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we can conclude that m∠ZAB = m∠ACB + m∠CBA using the fact that the angles in a triangle add up to 180°.
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Un número entero de tres dígitos es igual a 25 veces la suma de sus dígitos. Si los tres dígitos se invierten, el número que resulta excede al número dado por 198.
El dígito de las decenas en uno menos que la suma de los dígitos de las centenas y de las unidades. Encuentra el número.
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which of these ordered pairs is a solution to the inequality 4x+y>-6
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The ordered pair is (1, -1) a solution to the inequality 4x+y>-6. which is the correct answer would be option (C).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We must determine if the inequality holds for a certain set of ordered pairs in order to determine which ordered pairs constitute the answer to the inequality.
We have been given inequality is:
⇒ 4x + y > -6
Option (A) (1, -12)
⇒ 4x + y > -6
Substitute x = 1 and y = -12 in the inequality, we get
⇒ 4(1) + (-12) > -6
⇒ -8 > -6
This is false.
Option (B) (0, -9)
⇒ 4x + y > -6
Substitute x = 0 and y = -9 in the inequality, we get
⇒ 4(0) + (-9) > -6
⇒ -9 > -6
This is false.
Option (C) (1, -1)
⇒ 4x + y > -6
Substitute x = 1 and y = -12 in the inequality, we get
⇒ 4(1) + (-1) > -6
⇒ 3 > -6
This is true.
Hence, the correct answer would be an option (C).
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x(x+8) = 256 square yards
solve for x
im having a lot of trouble please help
Answers
x(x + 8) = 256
Expand the left side.
x² + 8x = 256
Collect all terms on the left side.
x² + 8x - 256 = 0
Solve with the quadratic formula.
x = (1/2)*[-8 +/- √(8² -4*1*(-256)) ]
= -4 +/- (1/2)*√(1088)
= -4 +/- 16.4924
x = 12.4924, or x = -20.4924
Answer: x = 12.4924 or x = -20.4924
The number 1.258201... can be classified as which of the following? Select all that apply. Real, rational, irrational, whole, integer ,natural
Its a multiple choice question
Answers
The decimal does not terminate and the decimal pattern does not repeat, so the number can not be rationalized.
The number can be classified as both real and irrational
The given number:
= 1.258201
A real number is any number that can represent a distance along a line
A rational number is a real number that can be expressed in form a ratio, it usually have terminating decimals.
An irrational number is any real number that cannot be expressed in form of ratio, it doesn't have terminating or repeating decimals.
A whole number does not contain fractions, it is usually positive integers.
Integers are whole numbers that includes negative and positive numbers.
The given number is a real number but it doesn't contain terminating or repeating decimals. Hence it is irrational number.
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When applying for a loan, you should _____.
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sorry if im incorrect
Please help me i really need help
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f(10) = 9972.48954
9972.49/12230.59 = .815
1 - .815 = .185
every 5 years it loses 18.5% of it's value.
Julie yard is rectangular.One side of the yard is 100 feet wide. The total area of the yard is 3,000 square feet. What is the length of the other side of the yard?
Answers
Divide area by width to find missing side
3000➗100= 30
The other side is 3O feet .
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
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-$16.75+($5.72+16.75)
=5.72
$5.72 + $872.56= 878.28
Hope I helped :)
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.
Given: -7x < -21.
Choose the solution set.
A. {x | x < -3}
B. {x | x > -3}
C. {x | x < 3}
D. {x | x > 3}
Answers
[tex] - 7x < - 21[/tex]
Divide both sides by - 7. Switch the direction of the inequality when dividing by a negative number.
[tex]x > 3[/tex]
The answer is D.
Do the dimensions of 9 cm, 40 cm, and 41 cm form a right triangle? explain.
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If y = 2x - 3, then which of the following ordered pairs lies on the graph?
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What is f(-4) if f(x)=|7x-3|
Answers
f(-4) = |7(-4) - 3|
now solve
f(-4) = |-28 - 3|
f(-4) = | -31|
the absolute value of |-31| is 31
so,
f(-4) = 31
Hope this helps :)
f(-4)=|(7(-4)-3|
f(-4)=|-28-3|
f(-4)=|-31|
|-31| means absolute value of -31 which just takes the distance the number is from 0 (or makes it positive if it is negative and leaves it alone if it is positive)
|-31|=31
f(-4)=31