Answer:
t = - [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Given
[tex]\frac{t}{\frac{5}{12} }[/tex] = - [tex]\frac{3}{10}[/tex]
Multiply both sides by [tex]\frac{5}{12}[/tex]
t = [tex]\frac{5}{12}[/tex] × - [tex]\frac{3}{10}[/tex] ← cancel 5 and 10 by 5 and 3 and 12 by 3, leaving
t = [tex]\frac{1}{4}[/tex] × - [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{8}[/tex]
What percent is 7/8 equivalent to?
A. 87.5%
B. 8.75%
C. 1.1%
D. 11.4%
Answer:87.5
Step-by-step explanation:
Answer:
87.5%
Step-by-step explanation:
To calculate the percentage of 7/8
It will be
7/8×100
700/8
87.5%
So the final answer to the given question is 87.5%
Juanita’s circular table has a diameter of 4 feet. She wants to know the area of the table.
Answer:
=12.56 ft^2
Step-by-step explanation:
First we need to find the radius
r = d/2 = 4/2 =2
Then we can find the area
A = pi r^2
= pi ^ 2^2
= 4pi
= 4*3.14
=12.56 ft^2
Answer:
12.56 ft²
Step-by-step explanation:
Radius = 4/2 = 2 ft
Area = 3.14 × 2²
= 12.56 ft²
Evaluate 6t-20-32t when t=6 and u =1/4
Hope this will help u...
Answer:
Multiply the t and 6 which equals 36 so now
it is 36t -20-192t now evaluate it
Step-by-step explanation:
There are 20 more pennies than nickels in a jar. There are 5 time as many pennies as nickels in the jar. How much money is the jar?
Answer:
50 cents
Step-by-step explanation:
Let Penny = p and Nickel = n
Given:
p = n+20p = 5nComparing the two:
n+20= 5n4n=20n= 20/4n= 5 nickelsp= 5n = 25 penniesTotal money in the jar:
5*5+25*1= 50 centsGiven the table of values below, which of the following ordered pairs are found on the graph of the inverse function?
A. (2.-12), (1, -9), (0.-6),(-1, -3), (-2,0)
B. (-2,-12), (-1,-9), (0, -6), (1, -3), (2,0)
C. (12,-2), (9, -1). (6.0), (3, 1), (0.2)
D. (-12, 2), (-9,1),(-6, 0).(-3,-1), (0.-2)
Answer:
C
Step-by-step explanation:
The correct option is C, as the pairs in this option are the inverse of the ordered pairs given in the original function. It's important to remember that in an inverse function, the x and y values of the original pairs are swapped.
Explanation:To answer this question correctly, it's important to understand what an inverse function is. In a function, we have pairs of values where the first value is the input (or x-value) and the second value is the output (or y-value). When we talk about the inverse function, we simply swap these pairs. That is, if (a, b) is in the function, then (b, a) is in the inverse function.
Considering this fact, we can determine the answer by looking for the option in which the y-value in the original pair becomes the x-value and vice versa. Given that, option C is the correct answer: (12,-2), (9, -1), (6,0), (3, 1), (0,2). This is because they are the inverse pairs of the original table of values.
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Claude took out a subsidized student loan of $12,775 at a 9.6% APR
compounded monthly, to pay for his last 2 semesters of college. If he will
begin paying off the loan in 15 months, how much will he owe when he
begins making payments?
?????
Answer:
12,775.00, since the government is responsible for the interest on the loan that accrues before Claude starts making payments
Step-by-step explanation:
APEX
Final answer:
To find out how much Claude will owe after 15 months of deferment on his student loan, we use the formula for future value with compound interest, considering the loan amount, annual interest rate, and compounding period. The future value is calculated as $14,389.49, which is the amount he will owe when he starts repayment.
Explanation:
To calculate the amount Claude will owe when he begins making payments on his subsidized student loan, we need to apply the formula for the future value of a loan with compound interest.
The loan has a principal amount of $12,775, an annual interest rate of 9.6% compounded monthly, and no payments will be made for a period of 15 months (the deferment period).
The future value FV of the loan after t periods of compounding at an interest rate of r per period can be calculated by the following formula:
[tex]FV = PV (1 + r)^t[/tex]
Where:
PV is the present value or initial amount of the loan ($12,775)r is the monthly interest rate (APR/12)t is the total number of compounding periods (15 months)First, we convert the APR to a monthly interest rate:
Monthly interest rate = APR / 12 = 9.6% / 12 = 0.8% = 0.008
Now we calculate the future value after 15 months:
FV = $12,775 × (1 + 0.008)¹⁵
FV = $12,775 × (1.008)¹⁵
Using a calculator, we find:
FV ≈ $12,775 × 1.1262 ≈ $14,389.49
Therefore, Claude will owe approximately $14,389.49 when he begins making payments.
2447457.62712 into standard form
Final answer:
To convert 2447457.62712 into standard form, write it in scientific notation as 2.447457 × 10^5.
Explanation:
To convert 2447457.62712 into standard form, we need to write it in scientific notation. In scientific notation, a number is written as the product of a decimal number between 1 and 10, and a power of 10.
First, count the number of decimal places in the original number. In this case, there are 5 decimal places.
Next, move the decimal point 5 places to the left to create a number between 1 and 10. The result is 2.447457.
Finally, write the number in scientific notation by multiplying it by 10 raised to the power of the number of decimal places. In this case, the power of 10 is 5, so the scientific notation of 2447457.62712 is 2.447457 × 105.
Four friends went Christmas shopping. At the end of the day, Jen had charged $130.00. Kyle was in debt for $123.00, and Steven had overspent his bank balance by $32.00. Bobby still had money to spare with a bank balance of $3.00. Who has the most debt at the end of the day? Explain your answer.
Step-by-step explanation:
Subtract 130-120 which is 10.
A trailer hold 1469 shingles. How many trailers would you need to hold 4000 shingles? Remember to use units; in this case, trailers.
Answer:It would be 3 even tho it gives 4407
Step-by-step explanation:
Trey evaluated 12/15 + 1/10 and got an answer of 13
25. Which statement is true about his answer?
A. His answer is not correct because when you add fractions, the sum is always greater than 1.
B.His answer is not correct because the sum cannot be less than either addend.
C.His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.
D.His answer is correct because all the fractions are less than 1.
Answer:
C. His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.
Step-by-step explanation:
in the equation x/8=23/40 what does x equal
Answer:
4.6
Step-by-step explanation:
[tex]\frac{x}{8}=\frac{23}{40}[/tex]
x*40=40x
23*8=184
40x=184
x=4.6
Answer:
x = 23/5 = 4.600
Step-by-step explanation:
Step 1 :
Simplify 23/40
x/8 - 23/40 =0
Step 2 :
Simplify x/8
x/8 - 23/40 = 0
Find the Least Common Multiple
The left denominator is : 8
The right denominator is : 40
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 3 3 3
5 0 1 1
Product of all
Prime Factors 8 40 40
Least Common Multiple:
40 to be continued
Mrs. Smith gives the students in her geometry class the following conditional statement:
"If A, B, and C are collinear, then they lie on the same line."
Bob says that the inverse of the is statement is not true. What is the inverse of this statement? Is Bob correct?
Justify your answer.
Answer:
The inverse of the statement is, " If A, B, C are not collinear, then they do not lie on the same line." Bob is not correct. The inverse statement is true. For any points to be collinear, they have to be one the same line. If these points are not collinear, it means they do not lie on the same line.
Step-by-step explanation:
The inverse of the statement is "If A, B, and C do not lie on the same line, then they are not collinear," which is logically true based on the definition of collinear points. Bob's claim that the inverse is not true requires clarification; without it, he is incorrect.
Explanation:The inverse of the conditional statement "If A, B, and C are collinear, then they lie on the same line" is "If A, B, and C do not lie on the same line, then they are not collinear". When we discuss the inverse of a statement, we negate both the hypothesis and the conclusion of the original statement. In the given statement, collinear implies that the points lie on the same straight line. Hence, if they do not lie on the same line, logically they would not be collinear.
Bob's claim that the inverse of this statement is not true requires justification, as the truth of a statement's inverse is not necessarily linked to the truth of the original statement. However, in this particular case, the inverse does happen to be a logically true statement, because it is consistent with the definition of collinear points. If points don't lie on the same straight line, by definition, they cannot be collinear. So, if Bob is asserting that the inverse is always false without any context, Bob is incorrect.
It is important to note that this is a logical interpretation based on the definitions involved and is how geometric properties are understood. The truth of the inverse of the conditional is not dependent on the truth of the original statement but instead on the definitions of the terms used.
Follow these steps to apply what you have learned about the angles of a triangle.
Find m∠B : 100° + 127° + m∠B = 360°
Then, find the measure of angle A.
Which is the measure of angle A?
A. 133°
B. 53°
C. 47°
D. 80°
YOUR ANSWER IS IN THE ATTACHMENT PLZZ REFER TO THE ATTACHMENT
By using exterior angle theorem of triangle, Angle A is <A = [tex]47^{0}[/tex]
What is exterior angle theorem?"If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles is known exterior angle theorem."
By using Exterior angle theorem
<A + <D = [tex]100^{0}[/tex]..............(1)
From the figure we can find <D
<D = [tex]180^{0}-127^{0}[/tex]
⇒ <D = [tex]53^{0}[/tex]
Substituting <D in equation (1)
<A + <D = [tex]100^{0}[/tex]
⇒ <A + [tex]53^{0} = 100^{0}[/tex]
⇒ <A = [tex]100^{0}-53^{0}[/tex]
⇒ <A = [tex]47^{0}[/tex]
From the straight line in the figure, we can write using exterior angle theorem
<A + <B = [tex]180^{0}[/tex]
⇒ <B = [tex]180^{0} -47^{0}[/tex]
⇒ <B = [tex]133^{0}[/tex]
Thus, By using exterior angle theorem of triangle, <A = [tex]47^{0}[/tex]
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I'll mark the first correct answer brainliest. i only need the bottom question. thanks :)
Answer:
1/2x^2 -3
Step-by-step explanation:
The first equation is 1/2x^2 + 1 and since this equation is the first one minus 4 1-4= -3 so you would get this new equation.
mhmhmhmhmhmhmhmhmhmhmhmh
Answer:
3.59
Step-by-step explanation:
-×-=+
-2.31+5.9
=3.59
please like and Mark as brainliest
Use the model to write the equivalent fraction. The colored pieces show parts of the whole.
Final Answer:
The equivalent fraction for the given model with colored pieces representing parts of the whole is 3/4.
Explanation:
In the provided model, there are three colored pieces out of a total of four. To determine the equivalent fraction, we look at the ratio of the colored pieces to the total number of pieces. Since there are three colored pieces and four pieces in total, the equivalent fraction is 3/4. This fraction represents the relationship between the colored parts and the whole, where the numerator (3) indicates the number of colored pieces, and the denominator (4) represents the total number of pieces in the model.
The process of finding equivalent fractions involves identifying a fraction that represents the same part-to-whole relationship. In this case, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor. However, in this instance, 3/4 is already in its simplest form, as 3 and 4 do not have a common factor other than 1. Therefore, the equivalent fraction remains 3/4.
Understanding fractions is essential in various mathematical concepts and real-world applications. They represent parts of a whole and are crucial in areas such as geometry, probability, and everyday calculations. In this scenario, the fraction 3/4 precisely captures the proportion of colored pieces in the given model, providing a clear and concise representation of the relationship between the highlighted elements and the entirety of the model.
What are the dimensions of the rectangular face of the
pyramid?
The dimensions of the rectangulas face are 3 feet by
Blank feet
Without additional information, it is not possible to determine the missing dimension of the rectangular face of the pyramid given only one dimension (3 feet).
Explanation:To find the missing dimension of the rectangular face of a pyramid when one dimension is given (3 feet), you generally need additional information about the pyramid such as the ratio of the dimensions, the area of the face, or an association with another geometric figure that reveals the missing dimension's value. Without this information, the second dimension remains undefined. As no such information is provided in the question or the provided context about various historical pyramids and their dimensions, it is not possible to accurately determine the 'blank' feet dimension of the pyramid's rectangular face.
Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1).
Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.)
Xi
2
–1
P(xi)
What is Miguel’s expected value from playing the game?
Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays?
What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.
Answer:
To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.
The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)
We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.
A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At
this prize booth 5 tickets can be exchanged for a large action ngure, and 7 tickets can be
exchanged for 2 small action Noures, The boy wants 4 times as many small action figures as
large action naures. Based on this information, can the boy get 80 small action figures?
F. No, because he would not have enough tickets for 20 large action figures
G Yes, because he would still have enough tickets for 320 large action figures
H No, because he would not have enough tickets for 320 large action figures
3
Yes, because he would still have enough tickets for 20 large action figures
Answer:
Step-by-step explanation:
Hi there,
If the boy wants 80 small action figures
that is equivalent to 40 x 7 (as 7 tickets
gives him 2 small action figures)
= 280 tickets.
The 380 tickets he has originally minus the
280 leaves 100 tickets to get 20 large action figures
(100/5)
He will have 80 small and 20 large action figures
80:20 = 4:1
Hope this helps:-)
Final answer:
Yes, the boy can exchange his 380 prize tickets for 80 small action figures and 20 large action figures, given the conversion rates and the desired ratio.
Explanation:
The student's question involves determining if a boy with 380 prize tickets can get 80 small action figures and still have enough tickets for 20 large action figures at a prize booth, given the exchange rates and the desire for 4 times as many small figures as large ones. To analyze this, we'll use the information that 5 tickets can be exchanged for a large action figure and 7 tickets can be exchanged for 2 small action figures. The boy wants 4 times as many small figures as large figures.
Let's denote large action figures as L and small action figures as S. According to the information given:
5 tickets = 1 large action figure (L)7 tickets = 2 small action figures (S), so 3.5 tickets = 1 small action figureTo have 4 times as many small figures as large, this means that if he gets x large figures, he needs 4x small figures. The total cost in tickets for the large figures would be 5x for the large and 14x for the small, totaling 19x tickets.
If he wants to get 80 small figures (S = 80), we would have 4x = 80 and thus x = 20 for large figures. So, the total ticket cost would be 19x which equals 19*20 = 380 tickets.
Therefore, the boy can get 80 small figures and 20 large figures with his 380 tickets. The correct answer is 'Yes, because he would still have enough tickets for 20 large action figures'.
What is the solution of the system of equations?
3x − 2y = −9 4x + 3y = 22
Answer:
Step-by-step explanation:
hello :
3x − 2y = −9 ...(*)
4x + 3y = 22...(**)
multiply (*) by 3 and(**) by 2 you have : 9x-6y = -27
8x+6y =44
add this equations : 17x = 17 so : x=1
put this value in : 8x+6y=44
8(1)+6y=44
6y=36
y=6
one solution : (1 ; 6)
Answer:0
Step-by-step explanation:
0+0
Evaluate f(3) for the piecewise function: f(x) = StartLayout enlarged left-brace 1st Row StartFraction 3 x Over 2 EndFraction + 8, x less-than negative 6 2nd row negative 3 x minus 2, negative 4, less-than-or-equal-to x less-than-or-equal-to 3 Third row 4 x + 4, x greater-than 3 EndLayout Which value represents f(3)? –11 8 12.5 16
The piecewise function f(3) evaluates to -11.
To evaluate f(3) for the given piecewise function, to determine which rule applies to the input value of 3.
Looking at the piecewise function:
f(x) = { (3x/2) + 8, x < -6
(-3x - 2), -4 ≤ x ≤ 3
(4x + 4), x > 3 }
Since 3 falls within the range -4 ≤ x ≤ 3, the second rule (-3x - 2) is applicable.
Plugging in x = 3 into the second rule,
f(3) = -3(3) - 2
= -9 - 2
= -11
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a student asks you why it is possible to have an increase of 150% in price, but not a decrease of 150% in price. how would you answer the student?
Answer:
You can increase by 100% and more of the price in something but you can never decrease more than 100% of something.
Step-by-step explanation:
If you have something that costs 8 dollars to begin with then all of the sudden it costs 20 dollars, it increased by 150%. 8 is 100$ of 8, 4 is 50% of 8. 8+4=12. 12+8=20. The price began at 8 then increased by itself plus half of it which is 12.
IF you decrease the price by 150% it'll be -20 dollars. You cant physically have negative amount of money.
PLEASE HELP ME!!!! The average temperature of Kopikoville was reported to be - 19° last year. This year, the average temperature of Kopikoville rose by 10°. Which of the following is true about this year's average temperature of Kopikoville?
A.
This year's average temperature of Kopikoville is - 9°.
B.
This year's average temperature of Kopikoville is 29°.
C.
This year's average temperature of Kopikoville is - 29°.
D.
This year's average temperature of Kopikoville is 9°.
Final answer:
To find the current year's average temperature of Kopikoville, add the increase of 10°C to last year's temperature of -19°C, which results in an average temperature of -9°C for this year, making the correct answer option A.
Explanation:
The question asks to determine the current year's average temperature of Kopikoville based on the last year's average temperature and the change that occurred this year. To calculate this, we consider last year's average temperature of Kopikoville, which was -19°C, and we add the increase in temperature this year, which was 10°.
We perform a simple addition: -19°C + 10°C, which equals -9°C. Thus, this year's average temperature of Kopikoville is -9°C. The correct answer is option A.
PLEASE HELP!!!!
I NEED HELP!!!
WILL GIVE BRAINLIEST!!!
Can someone also help me learn how to solve these problems??
Answer:
47°
Step-by-step explanation:
M < AOC = M < AOB + m < BOC
Substitute the values
3x + 124 +6x +29 = 180°
Solve for x
9x + 153° = 180°
9x = 180° - 153°
9x = 27°
x= 3°
Find the measure of angle BOC
M < BOC= 6x + 29
Substitute the value of x
M< BOC= 6(3) + 29 + 47°
A salad is made for three people with six tomatoes and three cucumbers. If the same ratio is used for a salad made for ten people, how many tomatoes and cucumbers are needed?
Answer:
20 tomatoes and 10 cucumbers so everybody gets 2 tomatoes and 1 cucumber like the smaller salad from before.
Step-by-step explanation:
Helllppp pleassssseeeee
Answer:
132 square cm = 20.46 square inches
Step-by-step explanation:
Total surface area = area of base (square) + 4 x area of one triangle.
[tex] = {6}^{2} + 4 \times \frac{1}{2} \times 6 \times 8 \\ = 36 + 2 \times 48 \\ = 36 + 96 \\ = 132 \: {cm}^{2} \\
= 20.46\: inches^2 [/tex]
HELP ME PLEASE:/ (Above)
Answer:
The goals are to feed the world, to develop better foods, and to fight disease
Step-by-step explanation:
Can anybody workout on scientific calculator plz?
2.9x10^5x7.2x10^2 by 5x10^-8
10 points for this please
Answer:
Ok, I got 4.176 x [tex]10^{15}[/tex]
Step-by-step explanation:
How many more vehicles have been driven between 50 and 100 thousand than between 250 and 300 thousand kilometers?
Answer:
there has been probaly a lot more because there is a shorter distance and more cars go on a shorter route
Step-by-step explanation:
A small school with 60 total students records how many of their students attend on each of the 180 days in a school year. the main number of students in attendance daily is 55 students and the standard deviation is 4 students. suppose we take a random sample of five School days and calculate the mean number of students in attendance on those days in each sample
Answer:
For the sampling distribution,
a) Mean = μₓ = 55.0 students.
b) Standard Deviation = 1.8 students.
Step-by-step explanation:
The complete Question is attached to this solution.
The Central limit theorem explains that for the sampling distribution, the mean is approximately equal to the population mean and the standard deviation of the sampling distribution is related to the population standard deviation through
σₓ = (σ/√n)
where σ = population standard deviation = 4
n = sample size = 5
Mean = population mean
μₓ = μ = 55 students.
Standard deviation
σₓ = (σ/√n) = (4/√5) = 1.789 students = 1.8 students to 1 d.p
Hope this Helps!!!