Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?
A)1 1/6
B)2 3/8
c)3 5/6
D)4 3/4
Roger can run one mile in 8 minutes. jeff can run one mile in 6 minutes. if jeff gives roger a 1 minute head start, how long will it take before jeff catches up
In the figure, AB¯¯¯¯¯ is parallel to DE¯¯¯¯¯ .
Select from the drop-down menu to correctly complete the statement.
Triangle ABC and triangle DEC are A.Similar B. Nonsimilar
Answer:
(A) Similar triangles
Step-by-step explanation:
It is given that AB is parallel to DE, therefore ∠CAB=∠DEC=65°(Alternate angles),
Then from ΔACB and ΔDCE, we have
∠CAB=∠DEC=65°(Alternate angles)
and ∠ACB=∠DCE=50°(Vertically opposite angles)
Thus, by AA similarity, ΔACB is similar to ΔDCE.
Hence, option A that is similar triangles is correct.
explain how you could convert a rate of 18000 miles per hour to miles per second
Divide (8.6 x 108) by (3.2 x 103). Express your answer in scientific notation.
A movie rental gives a free popcorn to every 15th customer and a free movie rental to every 4th customer. Which customer was the first to win both prizes?
Which situation could best be represented by this linear equation?
24x + 38y = 520
C. If x represents the number of bracelets sold at $24 each and y represents the number of rings sold at $38 each, the total sales were $520.
Mrs. Barlow's math class took a test yesterday. Out of 60 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?
What is the value of log5 125
Answer:
[tex]log_5125=3[/tex]
Step-by-step explanation:
Given : [tex]log_5125[/tex]
We have to find the value of [tex]log_5125[/tex]
Consider the given expression [tex]log_5125[/tex]
Rewrite 125 in power- base form, [tex]125=5^3[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]
[tex]\log _5\left(5^3\right)=3\log _5\left(5\right)[/tex]
[tex]=3\log _5\left(5\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1[/tex]
[tex]\log _5\left(5\right)=1[/tex]
[tex]3\log _5\left(5\right)=3[/tex]
Thus, [tex]log_5125=3[/tex]
The value of log_5 125 is 3.
We have,
To find the value of log base 5 of 125, we need to determine the exponent to which we need to raise 5 to obtain 125.
In other words,
What power do we need to raise 5 to in order to get 125.
So,
By evaluating 5³ (5 raised to the power of 3), we find that 5³ = 125.
So, log base 5 of 125 is equal to 3, as log base 5 of 125 = 3.
So,
log base 5 of 125 equals 3 because 5 raised to the power of 3 gives us 125.
Thus,
The value of log_5 125 is 3.
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what is 79.4÷8 what is the answer in decimal form
Suppose that a person with a push mower can mow a large lawn in 2 hours, whereas the lawn can be mowed with a riding lawn mower in 1 hours. working together, how long will it take to mow the lawn
2/3 hours take to mow the lawn.
what is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Time taken to mow by push mower= 2 hours
Time taken to mow by riding mower= 1 hours
So, if working together the time taken
= 1 / (1/2 + 1/1)
=1/ (3/2)
= 2/3
Hence, it will take 2/3 hours.
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what values of x make up f(x)=3x+1 equal to g(x)=3^x+1? 0, 1, 2, 3 select all that apply
Let us plug-in the values of x to know
> x = 0
f(0) = 3(0) + 1 = 1
g(0) = 3^0 + 1 = 2
> x = 1
f(1) = 3(1) + 1 = 4
g(1) = 3^1 + 1 = 4
> x = 2
f(2) = 3(2) + 1 = 7
g(2) = 3^2 + 1 = 10
> x = 3
f(3) = 3(3) + 1 = 10
g(2) = 3^3 + 1 = 28
Therefore the only answer is:
1
HELP ME
On a Saturday, Tyler earned $97.20 waiting tables at a restaurant. He earned $9.25 an hour, and an additional $60.20 in tips. How many hours did he work that day? (Write and solve an equation to solve this problem.)
sorry my writing is messy
An ounce of pine nuts cost $1.40 if Ellen buys 2.5 ounces of pine nuts, how much will she have to pay
Use substitution to determine which of the following points is a solution to the standard form equation below. 2y = 5
Greg practiced playing his clarinet for 12 minutes He has practiced 40% of the amount of time he needs to practice today how many more minutes does Greg need to practice today?
what is greater 4 liter or 1 gallon
Evaluate the function for x = 8. f(x)=x^2/16-2x A. –15 B. 20 C. –12 D. –24
What is the locus of all points that are a fixed distance from a given point? A) angle B) circle C) triangle D) line segment
Find the first partial derivatives of the function. f(x, y) = ax + by/ cx + dy
The partial derivatives of the given function f(x, y) = ax + by / cx + dy with respect to x and y have been calculated, showing how the function changes with each variable while holding the other constant.
Explanation:For the function f(x, y) = ax + by / cx + dy, the first partial derivatives with respect to x and y are:
∂f/∂x = a(cy - by') / (cx + dy)²∂f/∂y = (ax - ay) / (cx + dy)²These partial derivatives measure the rate of change of the function f(x, y) with respect to x and y while treating the other variable as constant.
Which of the following sets of points is a direct variation?
(0, 0); (2, 4); (5, 15)
(0, 0); (-1, -2); (1, 2)
(3, 6); (-2, 4); (-1, 2)
(0, 5); (1, 6); (2, 7)
Answer:
(0, 0); (-1, -2); (1, 2) and (0, 5); (1, 6); (2, 7).
Step-by-step explanation:
The set will have a direct variation if each pair is added or subtracted by a common number in each component. You also can see it graphically, if the points form a straight growing line then the set is a direct variation. Then,
In the first set we have
(0,0), (0+2,0+4), (0+2+3, 0+4+11). The behavior is not uniform, then it is not a direct variation.
Second set: (-1, -2); (0,0); (1, 2)
(-1,-2)(-1+1,-2+2), (-1+1+1, -2+2+2). The behavior is uniform and it is increasing, then it is a direct variaton.
Third set:
(-2, 4), (-2+1,4-2), (-2+1+4, 4-2+4). The behavior is not uniform, then it is not a direct variation.
Fourth set:
(0,5), (0+1, 5+1), (0+1+1, 5+1+1). The behavior is uniform and it is increasing, then it is a direct variaton.
As of this writing, the powerball lottery is run in 42 states. winning the jackpot requires that you select the correct five numbers between 1 and 59 and, in a separate drawing, you must also select the correct single number between 1 and 39. find the probability of winning the jackpot. 34.
Final answer:
The probability of winning the Powerball jackpot is 1 in 292,201,338.
Explanation:
To find the probability of winning the Powerball jackpot, we need to calculate the probability of selecting the correct five numbers between 1 and 59 and the correct single number between 1 and 39.
The probability for each part is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
For the five numbers, there are 59 possible choices and we need to select 5, so the probability is 1/59 × 1/58 × 1/57 × 1/56 × 1/55.
For the single number, there are 39 possible choices, so the probability is 1/39.
To find the overall probability, we multiply the probabilities of both parts together: (1/59 × 1/58 × 1/57 × 1/56 × 1/55) × (1/39) = 1/292,201,338.
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned. Part A
Answer:
For part A)
Let's make a function for each person, and then combine them to find total calories
Gwen burns 10 cal/min, and had already burned 100 calories when Tristan and Keith started (Yg=100 when x=0)
Yg= 10x + 100
Step-by-step explanation:
I got a 100% on it.
What number is 40% of 135?
Enter your answer in the box.
Solve this quadratic equation using the quadratic formula. 3x2 + 4x = 6
Answer:
x= -2 + and - sqrt 22 /3
Step-by-step explanation:
Carol ate 2/5 of the cake, Dima ate 3/8 of the REMAINING cake, mom ate the rest.
If it was a POUND cake, how many OZ did MOM eat? PLEASE HELP ASAP, GIVING BRAINLIEST.
Her mum ate 31/40 of the cake
Given the weight of the cake to 1 pound
If Carol ate 2/5 of the cake, the remaining fraction of the cake will be 1 - 2/5 = 3/5
If Dima ate 3/8 of the REMAINING cake, then the fraction of cake Dima ate will be:
Dima = 3/8 * 3/5
Dima = 9/40
Fraction of the cake that her mum ate = 1 - 9/40 = 31/40
Hence her mum ate 31/40 of the cake
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Trevor had 4 small boxes of raisins to share equally among himself and 2 friends.
How many boxes of raisins would each person receive?
A.
B.
C.
D.
A sports club plans to have its lawn mowed. The cost of mowing x square feet of lawn is given by the function f(x) = 0.04x + 3.5, where f(x) represents the cost in dollars. The total area that needs to be mowed is given by the function g(x) = 12x.
Which function best describes C(x), the total cost of mowing the lawn of the sports club?
A) C(x) = 0.48x + 3.5x
B) C(x) = 0.48x2 + 3.5
C) C(x) = 0.48x2 + 42x
D) C(x) = 0.48x2 + 42
D
This is the plato answer
Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.
After each cut, the remaining area is___% of the previous area
After the first cut, the remaining area represents 70% of the previous area.
How to calculate the areaLet's assume the initial area of the 10 by 10 grid is 100 square centimeters. After the first cut, a certain percentage of the current area is removed, leaving behind the remaining area. Let's say the remaining area after the first cut is 70 square centimeters.
To calculate the percentage of the remaining area compared to the previous area, we can use the formula:
(remaining area / previous area) * 100
In this case:
(70 / 100) * 100 = 70%
So, after the first cut, the remaining area represents 70% of the previous area.
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Which number is a prime number??
111
121
131
141
Final answer:
Among the given options, the number 131 is a prime number, as it only has two divisors: 1 and itself.
Explanation:
The student has asked to identify which number among the given options is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Analyzing the given options:
111 is divisible by 3.
121 is divisible by 11 (11 x 11).
131 is a prime number because it has no divisors other than 1 and itself.
141 is divisible by 3.
Therefore, the correct answer is 131, which is a prime number.