Hello,
When you are leaving an answer in terms of pi, you are simply leaving the pi symbol in the answer. Here is the symbol: π
- I . A -
In mathematics, 'leave it in terms of pi' means expressing the answer using the symbol π instead of decimal approximation. Pi is an irrational number, so it goes on forever without repeating. To leave an answer in terms of pi, keep π in the expression and perform calculations with it.
Explanation:In mathematics, when it says 'leave it in terms of pi', it means that the answer should be expressed using the symbol π instead of rounding it to a decimal approximation like 3.14. Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To leave an answer in terms of pi, you can keep π in the expression and perform any calculations with it. For example, if calculating the area of a circle, the formula would be A = πr², where r is the radius.
I need help with his problem.
Mario made six batches of cookies. His friends asked him to make an extra batch. He used 15 3/4 cups of sugar and needs another 5/8 cup for the extra batch. How many cups of sugar will Mario use altogether? Show work.
The cups of sugar mario use would be 16 3/8 cup
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Mario made six batches of cookies. His friends asked him to make an extra batch.
He used 15 3/4 cups of sugar
15 3/4 cup = 126/8 cup
then he needs another 5/8 cup for the extra batch.
126/8 + 5/8 = 131/8 cup
Mario use altogether;
131/8 = 16 3/8 cup
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
What is the solution to the equation fraction 1 over 4x = 5?
A) x = fraction 4 over 5
B) x = fraction 5 over 4
C) x = 20
D) x = 1
It takes 24 workers to complete the job in 5 days. How many days would 15 workers take to do the same job, assuming all the workers work at the same pace?
I'm guessing 10 days, since you lost a bit more than half of the workers, and it would take longer for the job to get done.
The larger of two numbers exceeds twice the smaller by one. Three times the smaller exceeds the larger by six. If y is the larger number, which of the following systems of equations represents the word problem? y = 2x + 1 and 3x + 6 = y y = 2x + 1 and y + 6 = 3x y = 2(x + 1) and y + 6 = 3x
Step-by-step explanation:
larger number = y
smaller number=x
y>2x+1
y<3x+6
Probably the first one, if I did this right.
To do this problem, you need to know how to read math, literally. The problem says that y is the larger number, so assume the smaller is x. So, y exceeds 2x by 1 (so, y>2x+1). then, it says 3x exceeds y by 6; therefore, 3x+6>y. I may have interpreted it wrong, though, so tell me if I made a mistake :))
Answer:
first one
A. y = 2x + 1 and 3x + 6 = y
Enter the correct answer in the box.
Solve the inequality for x in terms of a.[tex]ax-8\leq 12[/tex]
Answer:x<=(20)/(a)
Step-by-step explanation:
Find the length of segment AD.
Someone please help! I’m not the smartest when it comes to math lol.
Answer:
Since AG = GC then AD must equal DC
2x -3 = x +2
x = 5
Step-by-step explanation:
solve the equation by completing the square. x^2 -6x -21=0 if the solution is not a real number enter no solution (ANSWER -2.48 and 8.48 )this is what the lesson says i just dont know how to show this
Answer:
see explanation
Step-by-step explanation:
given x² - 6x - 21 = 0 ( add 21 to both sides )
x² - 6x = 21
to complete the square
• add ( half the coefficient of the x-term)² to both sides
x² + 2 (- 3)x +9 = 21 + 9
(x - 3)² = 30 ( take the square root of both sides )
x - 3 = ± [tex]\sqrt{30}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{30}[/tex]
x = 3 - [tex]\sqrt{30}[/tex] = - 2.48 ( to 2 dec. places ) or
x = 3 + [tex]\sqrt{30}[/tex] = 8.48 ( to 2 dec. places )
enrico buys 3/8 pound of cheddar cheese and 4/8 pound swiss cheese how many cheese does enrico buy in all
Answer:
They buy [tex]\frac{7}{8}[/tex] of cheese.
Step-by-step explanation:
When adding two fractions with the same denominator, you simply add the two numerators (numbers on top):
[tex]\frac{3}{8} + \frac{4}{8} = \frac{7}{8}[/tex]
So they buy [tex]\frac{7}{8}[/tex] of cheese.
-4/40c+12/30 factor each expression completely
Answer:
[tex]\frac{4}{10}(-\frac{1}{4} c+1)[/tex]
Step-by-step explanation:
To factor the expression [tex]\frac{-4}{40}c+\frac{12}{30}[/tex] we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into the values. We start to find it by factoring each term's coefficient:
[tex]\frac{2*2}{2*2*2*5}[/tex]
[tex]\frac{2*2*3}{2*3*5}[/tex]
We notice both have 2*2 in the numerator and 2*5 in the denominator. This is our GCF.
[tex]\frac{2*2}{2*5}=\frac{4}{10}[/tex]
We now write the expression 4/10(____+_____). We find the inside of the parenthesis by dividing the coefficients by the GCF. This is also the remaining factors which are not part of the GCF.
[tex]\frac{1}{2*2}=\frac{1}{4}[/tex]
[tex]\frac{3}{3}=1[/tex]
So the answer is [tex]\frac{4}{10}(-\frac{1}{4} c+1)[/tex]
The Gonzalez family has three children on summer break they want to an amusement park they bought three child tickets for $18.50 and two adult tickets if they spent a total of $104.50 how much was the price of each adult ticket
Answer:
Each adult ticket was $43
Step-by-step explanation:
2x+18.5 = 104.5
Simplify
2x = 86
x = $43
Select the best estimate for the diameter of a quarter
Answer:
20 Centimeters
Step-by-step explanation:
did it on edge
help me to solve this question...easier
Answer:
x = - 3 and x = - 4
Step-by-step explanation:
(a)
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x + 3 = 0 ⇒ x = - 3
(b)
Equate f(x) to 5, that is
[tex]\frac{2x+3}{x+3}[/tex] = 5 ( cross- multiply )
5(x + 3) = 2x + 3 ( distribute left side )
5x + 15 = 2x + 3 ( subtract 2x from both sides )
3x + 15 = 3 ( subtract 15 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
The surface area of a cube is 18 3/8 m square. Find its volume.
Answer:
[tex]5\frac{23}{64}\approx 5.36 [/tex] cubic meters.
Step-by-step explanation:
We have been given that the surface area of a cube is [tex]18\frac{3}{8}[/tex] square meters and we are asked to find the volume of the cube.
Since we know that surface area of a cube with each edge equals a units is:
[tex]\text{Total surface area of cube}=6a^2[/tex]
Let us find length of each edge using surface area formula.
[tex]18\frac{3}{8}=6a^2[/tex]
Let us convert our given area into mixed fraction.
[tex]\frac{147}{8}=6a^2[/tex]
Upon dividing both sides of our equation by 6 we will get,
[tex]\frac{147}{8*6}=a^2[/tex]
[tex]\frac{147}{48}=a^2[/tex]
Upon taking square root of both sides we will get,
[tex]\frac{7\sqrt{3}}{4\sqrt{3}}=a[/tex]
[tex]\frac{7}{4}=a[/tex]
Now we will use volume of cube formula with each side length 'a'.
[tex]\text{Volume of cube}=a^3[/tex]
[tex]\text{Volume of cube}=(\frac{7}{4})^3[/tex]
[tex]\text{Volume of cube}=\frac{343}{64}[/tex]
[tex]\text{Volume of cube}=5\frac{23}{64}[/tex]
[tex]\text{Volume of cube}=5.359375\approx 5.36[/tex]
Therefore, the volume of cube will be [tex]5\frac{23}{64}[/tex] cubic meters.
Please find the Sine, Cosine, and Tangent
Answer:
sin theta = 3/5
cos theta = 4/5
tan theta = 3/4
Step-by-step explanation:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
sin theta = 18/ 30 = 3/5
cos theta = 24/30 = 4/5
tan theta = 18/24 = 3/4
Answer:
[tex]sin \theta = \frac{3}{5} = 0.6\\\\ cos \theta = \frac{4}{5} = 0.8\\\\tan \theta = \frac{3}{4} = 0.75\\[/tex]
Step-by-step explanation:
Use SOHCAHTOA for reference
[tex]sin = \frac{opposite}{hypotenuse} \\\\cos = \frac{adjacent}{hypotenuse} \\\\tan = \frac{opposite}{adjacent}[/tex]
[tex]sin \theta = \frac{18}{30} = \frac{3}{5} = 0.6\\\\cos \theta = \frac{24}{30} = \frac{4}{5} = 0.8\\\\tan \theta = \frac{18}{24} = \frac{3}{4} = 0.75[/tex]
The manager of a store orders balance beams that cost $550 and sells them for $704. What percentage is the mark-up?
Answer:
28%
Step-by-step explanation:
Percentage mark up = (new - original) / original * 100 %
new = 704
original = 550
Substituting these values in
Percentage mark up = (704 - 550) / 550 * 100 %
=154/550 * 100%
=.28*100%
28%
Jackson deposited $5,000 at 3.8% interest, compounded continuously, when he was 18 years old. How much will be in the account when he is 40 years old if he made no other deposits or withdrawals?
With a principal of $5,000, an interest rate of 3.8%, over 22 years, Jackson's principal will grow to $11,535
Given: principal is $5000, interest rate is 3.8% and it is compounded continuously
To find: amount when Jackson is 40 years old
To solve this problem, we use the formula for continuous compounding interest:
[tex]A = P \times e^{rt}[/tex]
where:
A is the total amount of money
P is the principal
r is the annual interest rate (decimal form, so 3.8% becomes 0.038)
t is the time in years
Time here will be 22 years as Jackson deposited the money when he was 18 years old. So, the difference of 40 and 18 gives us 22 years.
Now we can find the total amount by plugging in the values:
[tex]A = 5000 \times e^{0.038 \times 22}\\[/tex]
[tex]A= 5000 \times e^{0.836}\\[/tex]
[tex]A= 5000 \times 2.307\\[/tex]
[tex]A = 11535[/tex]
Therefore, Jackson's account will have $11,535 when he is 40 years old.
Is this table linear or non linear?
x y
0 5
1 8
2 11
Answer:
Linear
Step-by-step explanation:
Each time x increases by one unit, y increases by three units.
The table represents a linear function of x.
Write an equation for the line that is parallel to the given line and passes through the given point.
Given line: y= 2x + 4 Given Point: (3, 8)
A.) y = 2x + 2
B.) y = 2x + 6
C.) y = -2x + 6
D.) y = - 1/2x + 2
Parallel lines have the same slope.
If y = 2x + 4, then parallel line has equal y = 2x + b.
The line passes throught the point (3, 8). Put the coordinates of the point to the equation of a line:
8 = 2(3) + b
8 = 6 + b subtract 6 from both sides
2 = b
Answer: A) y = 2x + 2Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x. x = 20 x = 24 x = 18 x =11
Answer:x=20
Step-by-step explanation:
2(3x+1) = 6x+2
since xy and yz are the parts of a midpoint they are equal to eachother
so 6x+2=5x+22
if you subtract 5x from both sides you get x+2 = 22 then you subtract 2 from both sides so you have x=20
Out of 25 students in Mrs. Green’s class, 12 have a pet. What percent of the students in Mrs. Green’s class have a pet?
Answer by YourHope:
Hi! :)
Out of 25 students in Mrs. Green’s class, 12 have a pet. What percent of the students in Mrs. Green’s class have a pet?
76% of the students in Mrs. Green’s class have a pet!
I also love your profile pic! :)
In isosceles trapezoid JKLM, m∠J = 17x + 7, and m∠M = 11x + 13. Find m∠K.
Final answer:
To find the measure of angle K in the isosceles trapezoid JKLM, set the expressions for angle J and angle M equal to each other and solve for x. Substituting the value of x into one of the angle expressions will give the measure of angle K.
Explanation:
To find the measure of angle K in the isosceles trapezoid JKLM, we can use the fact that the opposite angles in an isosceles trapezoid are congruent. Since angle J and angle M are given in terms of x, we can set them equal to each other and solve for x:
17x + 7 = 11x + 13
Simplifying the equation, we get:
6x = 6
x = 1
Now that we have the value of x, we can substitute it back into one of the angle expressions to find the measure of angle K:
m∠K = 17(1) + 7 = 24 degrees
4.25•0.6=2.04•1.25 true or false
Answer:
True
Step-by-step explanation:
help?? #10 please!!
Answer:
∠CAT = 140°
Step-by-step explanation:
Since AB bisects ∠CAT then ∠BAT = ∠CAB, hence
5x + 20 = 2x + 50 ( subtract 2x from both sides )
3x + 20 = 50 ( subtract 20 from both sides )
3x = 30 ( divide both sides by 3 )
x = 10
∠CAT = ∠BAT + ∠CAB = 5x + 20 + 2x + 50 = 7x + 70
substitute x = 10 into the expression
∠CAT = (7 × 10) + 70 = 70 + 70 = 140°
The number in the middle of a data set best describes
what are the steps to multiplying a fraction by a fraction
Step-by-step explanation:
so for example lets say the fractions are 1/4 and 2/3
you would multiply them to make the eqution look like this- [tex]\frac{1}{4}[/tex]·[tex]\frac{2}{3}[/tex]
so then you would cross simplify, since 2 is a factor of 4 we will factor them out, so itll look like this=
[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{3}[/tex]
then you multiply the denominator with denominato and numerator with numerator, so the answer is 1/6
Hello There!
To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.
Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.
Finally, you want to find the greatest common factor but only if the fraction can be simplified.
That Is How To Multiply Fractions
it cost $270 for 3 people to go on a fishing trip how much does it cost for 10 people to go on a fishing trip
Answer:
$900
Step-by-step explanation:
It cost each person $90 to go on the trip when you divide 270/3. You can find out how much it would cost for 10 people to go on the trip by multiply 10X90.
factor trinomial 28x^3+27x^2+5x
Answer:
Hello, Gayleayers!! The answer is x(4x+1)(7x+5)
Step-by-step explanation:
To check your answer, use the box method or foil, whichever you prefer. When you use it, leave out the x in front of the parenthesis. The answer will come to x(28x^2+27x+5), then distribute the x. You will get your original answer.
Have a great night and Happy New Year!!
Answer: x(7x + 5)(4x + 1)
Step-by-step explanation:
28x³ + 27x² + 5x
= x(28x² + 27x + 5)
= x(28x² + 7x + 20x + 5)
= x[7x(4x + 1) + 5(4x + 1)]
= x(7x + 5)(4x + 1)
Identify a pattern in the given list of numbers. Then use this pattern to find the next number 5,9,14,20,27,35,____
Answer:
the answer is 44
Step-by-step explanation:
the pattern is 4,5,6,7,8 so then you would add 9 to get 44
Final answer:
The pattern in the given list of numbers is that each number increases by consecutively larger increments of 1. By continuing this pattern, adding 9 to the last number (35), we determine the next number in the series to be 44.
Explanation:
The given list of numbers is 5, 9, 14, 20, 27, 35, and we are asked to identify the pattern to find the next number in the series.
Let's look at the differences between consecutive terms: 9 - 5 = 4, 14 - 9 = 5, 20 - 14 = 6, 27 - 20 = 7, 35 - 27 = 8.
We can see that with each step, the difference increases by 1. This pattern suggests that the next difference should be 9.
To find the next number, we add 9 to the last number in the series: 35 + 9 = 44. Therefore, the next number in the series is 44.
Please help with my math homework :(
Answer:
8x-12=6x-2 x=5
Step-by-step explanation: