2. Sarah's craft project uses pieces of yarn that are
yard long. She has a piece of yarn that is 3 yards long.
How many -yard pieces can she cut and still have 1
yards left?
Answers
Answer:
She will be able to cut approximately 2 yards off and still have 1 yard.
Step-by-step explanation:
Because 3-2=1 so there would be 1 yard left.
Related Questions
a man has five pairs of socks, of which no two pairs are the same color. he randomly selects two socks from a drawer. what is the probability that he gets a matched pair? 118. bookshelf ord
Answers
The probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer is 5/45, or approximately 0.11.
To calculate the probability of the man getting a matched pair of socks when he randomly selects two socks from a drawer, we need to consider the number of possible combinations of socks that result in a match and divide that by the total number of possible combinations of two socks.
The man has a total of 5 pairs of socks, or 10 socks, so there are 10 choose 2, or 45, possible combinations of two socks. Out of these, 5 of them result in a match, because there are 5 pairs of matching socks in the drawer.
Therefore, the probability of getting a matched pair of socks is 5/45, or approximately 0.11. This means that there is an 11% chance that the man will select a matched pair of socks if he randomly selects two socks from the drawer.
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The ratio of the lengths of corresponding parts in two similar solids is 5:1.
What is the ratio of their surface areas?
Ο A. 125:1
OB. 25:1
OC. 5:1
OD. 10:1
SUBMIT
Answers
Answer:
B) 25 : 1-----------------------
Area is the product of two dimensions.
Hence the ratio of areas is the square of the scale factor:
Ratio of areas = 5² : 1² or 25 : 1The matching choice is B
What statements are true?
Answers
Answer:
A. The number 81 is a rational number.
B. 11.7 is irrational
C. 3 is irrational
E. 17.35 is rational
Step-by-step explanation: A rational number is a number that can be expressed as a fraction where the numerator is a whole number (integer) and the denominator is a whole number (integer).
The number 81 is a rational number. We know this because it is possible to obtain the rational number 81 by dividing the integer 81 by the integer 1.
2/5 and 2/3 are rational numbers. Irrational numbers have an infinite number of digits to the right of the decimal point, without repetition.
The square root of 3 is irrational. It cannot be simplified further in its radical form and hence it is considered as a surd.
I have tried 18+x divided by two but it won’t work?
Answers
Answer:
You need to find what x is bro
Step-by-step explanation:
find hcfof 240 and288
Answers
Answer:
48 (HCF)
Step-by-step explanation:
I'm assuming "hcfof" is HCF or Highest Common Factor.
240÷5=48
288÷6=48
The HCF of 240 and 288 is 48.
Which ordered pairs do not belong to a linear function in the form below?
y = kx + b
A. (-1, -1); (0, -1)
B. (-1, -1); (-1, 1)
C. (1, 1); (0, -1)
D. (1, 1); (-1, -1)
Answers
Answer:
its D
Step-by-step explanation:
D!!!
Answer:
D
Step-by-step explanation:
write an equation of the line that passes through 3,1 and 0,10
Answers
Answer:y = -3x + 10
Step-by-step explanation:
To find an equation of a line that passes through two points, we have to first find the slope between the two equation. We can do this by using the slope formula:
where (x₁, y₁) and (x₂, y₂) are the two points that we are finding the slope between.
Lets make (x₁, y₁) equal to (0, 10) and (x₂, y₂) equal to (3, 1). Now we plug them into the slope formula:
So the slope between the two points is -3.
From here, I would normally take one of the points given to us and plug in the point and slope into the point-slope form of a line and then simplify until we get it in slope-intercept form. But if you look carefully, the y-intercept is given to us as the point (0, 10). So we now know that the y-intercept of the line is 10. We can now take the y-intercept and the slope and plug it into the slope-intercept form of a line to get out equation:
y = mx + b
plug in -3 for m (the slope) and 10 for b (the y-intercept)
y = -3x + 10
So now we have our equation.
I hope you find my answer and explanation helpful. Happy studying. :)
I need help with this one
Answers
Answer:
S = 180C²
18,000 lbs
Step-by-step explanation:
Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...
180, 540, 900
These are not constant, so the relation is not linear.
Second differences are ...
360, 360
These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...
S = 180·C²
__
The safe load for C=10 is then ...
S = 180·10² = 18,000 . . . pounds
better?
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 300 milliliters of a dressing that is 9% vinegar. How much of each brand should she use?
Answers
If a chef is going to use a mixture of two brands of Italian dressing and the first brand contains 6% vinegar. The amount of of each brand should she use is: 180mL of the first brand and 120mL of the second brand.
What is brand?Brand can simply be defined as what help to identify a company product.
Let the amount of the first brand = F
Let the amount of the second brand = S
Total mixture :
Total mixture = F + S
Total mixture = 300
Total mixture contain 8% vinegar:
06F + .11S = .09(300)
Substitution
F + S = 300
.06F + .11S = .09(300)
F = 300 - S
.06(300 - S) + .11S = .09(300)
Substitute into second equation
18 -.06S +.11S = 27
Collect like terms
.05S = 9
Divide both side by 0.05S
S = 9/0.05
S = 180
Hence,
F + 180 = 300
F = 300 -180
F = 120
Therefore to make a 300mL mixture that contains 9% vinegar, use 180mL of the first brand and 120mL of the second brand.
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Lake Vostok is Antarctica's largest and deepest subsurface lake. The mean depth of the lake is believed to be 344 meters. 44 random samples of the depth of this lake were obtained. Assume the underlying distribution is normal and σ = 30 meters. Please use 3 decimal places in all calculations.
a) State the hypotheses that are required if we want to know if the mean depth of the lake is less than 344 meters. Be sure to include both the null and alternative hypotheses.
b) Find the probability of the Type II error if the true mean depth of the lake is μa = 326 meters; that is, find β(326). Assume that α = 0.01. Hint: If your numeric answer is wrong, please confirm that your hypotheses are correct before you run out tries. β(326) =?
c) Assuming that the alternative hypothesis in part a) is in the opposite direction, find the power if the true mean depth of the lake is μa = 355 meters, power(355). Assume that α = 0.01. Hint1: Because the hypotheses have changed, no steps in part b) can be reused.
State the new hypotheses that are required if we want to know if the mean depth of the lake is greater than 344 meters. Be sure to include both the null and alternative hypotheses.
power(355) = ?
d) Find the test statistic assuming that the sample mean is 337.
The test statistic when α = 0.01. = ?
The test statistic when α = 0.05. = ?
Answers
a.) The hypotheses are Null and alternative.
b.) The probability of a Type II error is: β(326) = 0.0046
c.) The power is: power(355) = 0.9599
d.) The null hypothesis at the 0.05 level of significance.
a) The hypotheses are:
Null hypothesis: The mean depth of the lake is equal to 344 meters.
Alternative hypothesis: The mean depth of the lake is less than 344 meters.
b) To find the probability of a Type II error, we need to assume that the true mean depth is 326 meters, calculate the corresponding z-score, and find the area under the curve to the right of this z-score (since the alternative hypothesis is in the left direction). Using the formula for the z-score:
z = (x - μ) / (σ / sqrt(n))
z = (344 - 326) / (30 / sqrt(44))
z = 2.63
Using a standard normal table, we find that the area to the right of 2.63 is 0.0046. Therefore, the probability of a Type II error is:
β(326) = 0.0046
c) Assuming the alternative hypothesis is now that the mean depth of the lake is greater than 344 meters, the new hypotheses are:
Null hypothesis: The mean depth of the lake is equal to 344 meters.
Alternative hypothesis: The mean depth of the lake is greater than 344 meters.
To find the power when the true mean depth is 355 meters, we need to calculate the corresponding z-score and find the area under the curve to the right of this z-score. Using the formula for the z-score:
z = (x - μa) / (σ / sqrt(n))
z = (344 - 355) / (30 / sqrt(44))
z = -1.75
Using a standard normal table, we find that the area to the right of -1.75 is 0.9599. Therefore, the power is:
power(355) = 0.9599
d) The test statistic is:
t = (x - μ) / (s / sqrt(n))
t = (337 - 344) / (30 / sqrt(44))
t = -2.15
When α = 0.01, the critical t-value is -2.695. Since -2.15 > -2.695, we fail to reject the null hypothesis at the 0.01 level of significance.
When α = 0.05, the critical t-value is -1.681. Since -2.15 < -1.681, we reject the null hypothesis at the 0.05 level of significance.
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HELP ME PLEASE :(
Chloe runs a farm stand that sells apples and peaches. Each pound of apples sells for $3 and each pound of peaches sells for $4. Chloe sold 3 times as many pounds of peaches as pounds of apples and she made $240 altogether. Graphically solve a system of equations in order to determine the number of pounds of apples sold,
x, and the number of pounds of peaches sold y.
Answers
Answer:
26.67 lbs. of apples, 80 lbs. of peaches.
Step-by-step explanation:
We can represent the pounds of apples sold as x and the pounds of peaches sold as y.
Since each pound of apples sells for $3, the revenue from apples is 3x.
And since each pound of peaches sells for $4, the revenue from peaches is 4y.
The total revenue is $240, so the sum of the revenue from apples and peaches is equal to $240:
3x + 4y = 240
Since Chloe sold 3 times as many pounds of peaches as apples, we can write:
y = 3x
We now have a system of two equations:
3x + 4(3x) = 240
9x = 240
x = 26.67
So Chloe sold 26.67 pounds of apples and 3 * 26.67 = 80 pounds of peaches.
Hope this helps!
A website rents new-release movies for $3 and older movies for $2. The revenue, r, of the website can be represented by the equation r = 3n + 2m, where n is the number of new-release movies rented and m is the number of older movies rented. Last month, the revenue was $6,840 and 1740 new release movies were rented Enter the number of older movies that were rented by solving for m.
m =
Answers
Answer:
\(m=810\)
Step-by-step explanation:
\(r=3n+2m\)
Where
\(r=6840\\n=1740\\m=?\)
\(6840=3(1740)+2m\\6840=5220+2m\\6840-5220=5220+2m-5220\\1620=2m\\\frac{1620}{2} =\frac{2m}{2} \\m=810\)
Answer :\(m=810\)
PLEASE MARK ME AS BRAINLIEST
A tropical forest survey conducted by Conservation International included the following statements in the material that accompanied the survey: "A massive change is burning its way through the earth’s environment." "The band of tropical forests that encircle the earth is being cut and burned to the ground at an alarming rate." "Never in history has mankind in flicted such sweeping changes on our planet as the clearing of rain forest taking place right now!" The survey that followed included the questions given in Parts (a)– (d) below. For each of these questions, identify a word or phrase that might affect the response and possibly bias the results of any analysis of the responses. a. "Did you know that the world’s tropical forests are being destroyed at the rate of 80 acres per minute?" b. "Considering what you know about vanishing tropical forests, how would you rate the problem?" c. "Do you think we have an obligation to prevent the man-made extinction of animal and plant species?" d. "Based on what you know now, do you think there is a link between the destruction of tropical forests and changes in the earth’s atmosphere?"
Answers
Researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses.
a. The wordings of the questions contain the word "destroyed" and "80 acres per minute," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.
b. The question contains the phrase "vanishing tropical forests," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.
c. The question is loaded with the phrase "man-made extinction of animal and plant species," hence, the respondents could lean more towards the idea of the need to prevent it. The question is likely to elicit responses directed toward prevention and preservation.
d. The question contains the phrase "changes in the earth’s atmosphere," which suggests a link between the destruction of tropical forests and changes in the earth’s atmosphere. The question is likely to elicit responses that lean towards agreeing with the statement made in the question.
Therefore, researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses.
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Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write a proportion that would have to be true, involving the side lengths of the quadrilaterals
(Hint: use the / key to get fractions!)
Answers
The true proportion of the side lengths of the quadrilaterals is A'B'/AB
How to determine the true proportion of the quadrilaterals?From the question, we have the following parameters that can be used in our computation:
Quadrilaterals ABCD and A'B'C'D
These quadrilaterals are similar
So, it means that the corresponding side lengths are proportional
So. we have
Side length = AB
Corresponding side length = A'B'
The true proportion is then represented as
k = Corresponding side length/Side length
Substitute the known values in the above equation, so, we have the following representation
k = A'B'/AB
Hence, the proportion is A'B'/AB
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pls help, need ans asap
Answers
The average velocity in the last part of the journey is 115 km/h.
How to find the average velocity?The average velocity is defined as the quotient between the total distance traveled and the time in which that distance was traveled, so we can define the formula:
Average velocity = distance/time.
Here we know that the total average velocity is 100 km/h
And we know that on the first 3/5 of the journey the average velocity is 90km/h.
Then in the latter 2/5 of the journey the velocity can be V, and the total average velocity should be 100km/h, so we can write:
(3/5)*90km/h + (2/5)*V = 100km/h
Solving that for V
(2/5)*V = 100km/h - (3/5)*90km/h
V = (5/2)*[ 100km/h - (3/5)*90km/h]
V = 115 km/h
That is the correct option.
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Caroline works 18 hours a week at a restaurant and earns $8.25 per hour. She also earns tips, which are 15% of her food sales. In one week, she earned $263.25.
Write an equation to find x, her total food sales for that week.
8.25 (FILL IN THE ANSWER) + (FILL IN THE ANSWER)x = 263.25
A. 0.15
B. 0.18
C. 8.25
D. 15
E. 18
Answers
Answer:
she earns 14.28 per hour and 6.75 each time.
Step-by-step explanation:
PLEASE HELP ASAP
The lakers baskets scored a total of 84 points in the basketball game against the bull dogs. The lakers made a total of 39 those baskets were made up of 2 point shots and 3 point shots. How many 2 point shot did the lakers make? how many 3 point shots did the lakers make?
Answers
The Lakers made 31 two-pointers and 6 three-pointers.
Explanation:
Let " x " be the number of two-point shots made and let "y" be the number of three-point shots made.
The Lakers scored a total of 80 points:
2 x + 3 y = 80
The Lakers made a total of 37 baskets:
x + y =37
These two equations can be solved:
(1) 2 x + 3 y = 80
(2) x + y = 37
Equation (2) gives:
(3) x = 37 − y
Substituting (3) into (1) gives:
2 ( 37 − y ) + 3 y = 80
74 − 2 y + 3 y = 80
y = 6
Now let's just use the simpler equation (2) to get x :
x + y =37
x + 6 = 37
x = 31
Hence, the Lakers made 31 two-pointers and 6 three-pointers.
Hi!
ik -2x+9 is x=4.5 so are the number 4.5 apart and if so what do i do after that
Answers
The function y = -2x + 9 have ordered pairs (-4, 17), (-2, 13), (0, 9), (2, 5) and (4, 1)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Given that:
y = -2x + 9
When x = -2; y = -2(-2) + 9 = 13
When x = 0; y = -2(0) + 9 = 9
When x = 2; y = -2(2) + 9 = 5
When x = 4; y = -2(4) + 9 = 1
The function y = -2x + 9 is a linear equation
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f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is constant
Answers
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is a constant.
The solution to the question is shown below.
Step 1: We have given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
We have to find the number of words we have to write to express this function in words.
Step 2: Solution
f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶
Where,
et5+4t = exponential function
ln(t²+3c)⁷ = natural logarithmic function
te-1 = linear function
e⁶ = exponential function
Therefore, f(t) can be expressed in words as:
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Step 3: Conclusion
Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
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Last year, the tree in Pedro’s front yard was 5 feet tall. This year, the tree is 2 feet less than the height of Pedro’s house. Pedro’s house is 17 feet tall. How tall is the tree?
Answers
Answer:
The tree is 15 feet tall.
Step-by-step explanation:
Given that:
Height of tree last year = 5 feet tall
Height of tree this year = Height of Pedro's house - 2 feet
Height of Pedro's house = 17 feet
Height of tree this year = 17 - 2
Height of tree this year = 15 feet
Hence,
The tree is 15 feet tall.
what is the probability that a randomly selected patient is admitted for something other than coronary care?
Answers
The probability that a randomly chosen patient will be admitted for a reason other than coronary care is equal to one less than the likelihood that they will be admitted for that reason.
The likelihood that a randomly chosen patient will be admitted for a reason other than coronary care is equal to 1 less than the likelihood that they will be admitted for that reason. For instance, if the chance of being admitted for coronary care is 0.25, the chance of being admitted for a different reason is 0.75. This is due to the requirement that the total number of outcomes must equal 1. Accordingly, if one outcome has a 0.25 probability, then the chance of every other outcome must equal 0.75. As a result, the likelihood that a randomly chosen patient will be admitted for a reason other than coronary care is equal to 1 minus the likelihood that they will be admitted for that reason.
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What is
as a decimal rounded to 3 decimal places?
Answers
Tony is solving the equation 4x = 12x + 20 for x. Tony uses the multiplicative property of equality to rewrite the equation as x = 3x + 20. Which statement correctly explains whether
A Tony used the property correctly? Tony used the property correctly because he multiplied one term on each side of the equals sign by 1/4
B Tony did not use the property correctly because he should have multiplied both sides of the equals sign by 1/12 not 1/4
C Tony did not use the property correctly because he did not multiply every term on both sides of the equals sign by 1/4
D Tony used the property correctly because he multiplied every term containing x by 1/4
Answers
Answer:
C)
Step-by-step explanation:
The correct answer is C: Tony did not use the property correctly because he did not multiply every term on both sides of the equals sign by 1/4.
To solve the equation 4x = 12x + 20, Tony used the multiplicative property of equality but made an error in the application. The correct approach would be to multiply every term on both sides of the equals sign by the reciprocal of the coefficient of x, which is 1/4 in this case.
However, Tony only multiplied one term on each side by 1/4, resulting in equation x = 3x + 20. This action is incorrect because it does not apply the property to every term containing x. To solve the equation correctly, Tony should have multiplied both sides by 1/4, resulting in x/4 = (3x + 20)/4.
Jett had a coupon to buy a computer for 40% off. He paid $210 for the computer. What was the original price?
Answers
Answer:
original price=($210*100)/(60)
=$350
a logarithm is defined as the power to which a base must be raised in order to equal a given number, why can't we have negative bases
Answers
Negative bases are not often used in logarithms because they produce complex results. For example, if the base is negative and the exponent is positive, the result will be a complex number.
Logarithms are generally used to solve equations or simplify complex problems. Having a negative base would complicate this process, as it would introduce complex numbers or even imaginary numbers into the equation. Consequently, it is not feasible to use negative bases with logarithms. Furthermore, if both the base and the exponent are negative, the result is undefined. This means that it is not possible to evaluate the expression. Therefore, for these reasons, it is usually not practical to use negative bases when working with logarithms.
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The perimeter of a college basketball court is 96m and the length is 14me more than the width. what are the dimesions?
Answers
Step-by-step explanation:
let width =x
length=x+14
....
perimeter=96=2*(L+W)
96=2*(X+X+14)
96=4x+28
96-28=4x
68=4x
/4
68/4=x
17=x the width
length = 17+14=31m
....
Check
17+17+31+31=96
I hope it's helpful!
why is it impossible to construct an equilateral traiangle with three verticies with integer coordinates?
Answers
It is impossible to construct an equilateral triangle with three vertices with integer coordinates.
Suppose ABC is an equilateral triangle with integer coordinates.
Then its area by the formula \(\frac{1}{2} (x_{1} (y_{2} -y_{3})+x_{2}(y_{3} -y_{1})+x_{3} (y_{1} -y_{2}))\) is an integer.
Let a be the length of a side. Then \(a^{2}\) is a positive integer. The area of the equilateral triangle is \(\sqrt{\frac{3}{4} } a^{2}\) which is irrational.
Hence we get a contradiction.
Therefore an equilateral triangle cannot have all its vertices integer coordinates.
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It is impossible to construct an equilateral triangle with three vertices with integer coordinates because the distance between any two points with integer coordinates is also an integer. In an equilateral triangle, all three sides must have equal length. However, if the distance between two points with integer coordinates is an integer, then the distance between the third point and either of the first two points will not be an integer in most cases. This means that it is not possible to find three points with integer coordinates that are equidistant from each other.
The distance between two points with integer coordinates can be calculated using the Pythagorean theorem. If we consider two points with coordinates (x1, y1) and (x2, y2), the distance between them is √((x2-x1)²+(y2-y1)²). If the distance between two points is an integer, it means that the difference between the x-coordinates and the y-coordinates is also an integer. In an equilateral triangle, the distance between any two points must be the same. However, it is impossible to find three points with integer coordinates that are equidistant from each other.
In conclusion, it is not possible to construct an equilateral triangle with three vertices with integer coordinates because the distance between any two points with integer coordinates is also an integer. In an equilateral triangle, all three sides must have equal length. However, if the distance between two points with integer coordinates is an integer, then the distance between the third point and either of the first two points will not be an integer in most cases. This means that it is not possible to find three points with integer coordinates that are equidistant from each other.
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The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to
buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects
to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this
year?
O neither Grace nor Roger
only Grace
O only Roger
O both Grace and Roger
Answers
Answer: C
Step-by-step explanation:
The local weather sells the tickets the play rate of $38 and patrons attend multiple shows to encourage the buyers giving them a discount of 20$ each. The rogers has to attend the shows same year.
Without Membership: 38*6 = 228 having the membership: 80 + 20*6 = 200. For grace the total Cost/Revenue for Grace: Without the membership: 38*4 = 152. Buying with the Membership: 80 + 20*4 = 160Hence the option B is correct.
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What is -3x-y=-24 if Y =3x
Answers
Answer:
x= 4 and y= 12
Step-by-step explanation:
solve by substitution
hope this helps :D
Juan is trying to factor x² + 7x+3 and makes the following table.
- see picture-
Juan concludes that x² + 7x+3 cannot be factored using integers.
a. Is Juan correct?
b. Comment on Juan's strategy and improve it if possible.
Answers
a. Yes Juan is correct.
b. The given quadratic equation can be solve by using quadratic formula.
What is a quadratic equation?
A quadratic equation is a polynomial equation with a maximum degree of two. Where a ≠ 0, the equation is given by ax² + bx + c = 0.
Given equation is x² + 7x + 3.
The given equation can't factorized by using middle term or splitting method.
Factorization of quadratic equations can be done in different methods. They are:
Splitting the middle term
Using formula
Using Quadratic formula
Using algebraic identities
Assume that x² + 7x + 3 = 0
x = [-7 ± √(7² - 4 × 1 × 3)]/ 2 × 1
x = [-7 ± √37]/ 2
The factors of quadratic polynomial is ( x - [-7 ± √37]/ 2).
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