Nadine saw that there was 4/5 of a pie left after their family picnic. Each slice of pie was 1/15 of the total pie. How many slices of pie are left?
Answers
Given:
4/5 of a pie left after their family picnic.
Each slice of pie was 1/15 of the total pie.
To find:
The number of remaining slices of pie.
Solution:
Let x be the number of remaining slices of pie.
Part of total pie in one slice = \(\dfrac{1}{15}\)
Remaining part of total pie in x slices = \(\dfrac{1}{15}x\)
According to the question, 4/5 of a pie left after their family picnic.
\(\dfrac{1}{15}x=\dfrac{4}{5}\)
Using cross multiplication, we get
\(5\times x=15\times 4\)
\(5x=60\)
Divide both sides by 5.
\(x=12\)
Therefore, the remaining number of slices of pie is 12.
Related Questions
Can a trangle have lengths of 1 , 1 and 6
Answers
Answer: No it can't
You can prove this with Pythagorean theorem. (a^2+b^2=c^2) In this case, 6 is the highest number so we know it has to be the hypotenuse. So plug it into the equation, 1^2+1^2=6^2, and simplify. You will get 2=36, and we know that is not true, so a triangle can't have the lengths of 1, 1, and 6.
Hope this helped you!
A soccer ball kicked from the ground with an initial velocity of 32 ft/s is given by the function When is the soccer ball moving through the air? {t | –2 < t < 2} {t | –4 < t < 4} {t | 0 < t < 2} {t | 0 < t < 4}
Answers
Answer:3rd one
Step-by-step explanation: Took the test
Answer:
answer is C. {t | 0 < t < 2}
Step-by-step explanation:
For this question “ followed by a number will mean to the power of.
I need the solution for x,y, and z with steps please
(3*5)”4*(2*3)”5*(2*5)”7= 2”x*3”y*5”z
Please and thank you
Answers
The solution for x, y, and z is x = 2, y = 2, and z = 2.
To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:
Simplify the expressions within the parentheses using the power of operator ("^").
\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)
Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)
\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)
Simplify the expression within the parentheses.
\((15610)^{16 }= 900^{16\)
Express both sides of the equation in terms of prime factors.
\(900 = 2^2 \times 3^2 \times 5^2\)
quate the powers of the prime factors on both sides of the equation.
\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)
From this, we can conclude that x = 2, y = 2, and z = 2.
Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.
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dividing 1/9 is equal to multiplying by
Answers
Answer: 9
Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:
10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.
Now lets try it with 1/9.
X divided by 1/9 = X times 9/1.
So dividing by 1/9 is equal to multiplying by 9.
choose the best estimate for the division problem below.
38/6
A.8
B.3
C.4
D.6
Answers
The best estimate for 38/6 is option C that is equals to 4.
What is division ?
Division is a mathematical operation that involves splitting a number or quantity into equal parts or groups. It is the opposite of multiplication, where we find how many groups of a certain size can fit into a larger number or quantity.
When we divide one number by another, we are finding out how many times one number can be evenly divided by another number. For example, when we divide 12 by 3, we are asking "how many groups of 3 are in 12?" The answer is 4, because we can divide 12 into 4 equal groups of 3.
The best estimate for 38/6 is option C, 4.
We can see that 6 goes into 38 about 6 times (6 x 6 = 36), and there is a remainder of 2. Therefore, the answer is between 6 and 7. Since the options are all whole numbers, the best estimate is 4.
Therefore, The best estimate for 38/6 is option C that is 4.
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the morning tempersture in shasta was -12F. by the afternoon, the temp had risen 8F. what was the temperature in the afternoon?
Answers
Estimate the area of the rectangle.
A)8
B)10
C)14
D)20
Answers
Answer:
A or B, I think it's A...
A student added the rational expressions as follows:
Problem:
Work:
5x
+
x+7
5x
+
x+7
Solution:
7
x
7(7)
x+7
5x+49
x+7
Describe and correct the error the student made. Solve the problem correctly.
Answers
The correct answer is (5x + 1) / (x+7).
What error did the student make?
The student made an error in adding the rational expressions. They attempted to add the numerators directly without finding a common denominator.
To add rational expressions, we must first find a common denominator, which is the Least Common Multiple (LCM) of the two denominators. Then, we can add the numerators.
Here is the correct solution:
Problem:
(5x) / (x+7) + 1 / (x+7)
First, note that both rational expressions have the same denominator (x+7). In this case, the LCM is simply (x+7). We can now add the numerators:
Work:
(5x) / (x+7) + 1 / (x+7) = (5x + 1) / (x+7)
Solution:
(5x + 1) / (x+7)
The correct answer is (5x + 1) / (x+7).
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Consider the polynomial
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
Combine all like terms and enter the coefficients for each term into the blanks below
Answers
(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)
First, let's remove the parentheses:
4mn^2 - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn
Next, let's combine like terms by adding or subtracting coefficients of the same variables:
(4mn^2 + 6mn^2 - mn^2) + (-2mn - 9mn) + (6 + 2 - 1)
Simplifying further:
9mn^2 - 11mn + 7
So, the coefficients for each term are:
9, -11, 7
A trucker wanted to track how long it took to reach Bismarck. When she started out, her clock
read 7:00AM. When she refueled, the clock read 8:00AM. After reaching Bismarck, the clock read
10:00AM. How many hours did it take this trucker to reach Bismarck?
Answers
Answer:
Below
Step-by-step explanation:
From 7 to 10 AM is THREE hours (if the times are all on the same day)
Suppose Deandre places $5000 in an account that pays 8% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years.
Answers
The amount in the account at the end of 1 year is $5400.
The amount in the account at the end of 2 year is $5832.
What do you mean by interest rate?
The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.
According to data in the given question,
We have:
Deandre places $5000 in an account that pays 8% interest compounded each year.
And no withdrawals are made from the account.
Now, we need to determine the amount of 8% interest on the $5000,
\(=\frac{5000}{100}*8\\ =400\)
Then, the amount in the account at the end of 1 year =$5000+$400
=$5400.
Now, we need to determine the amount of 8% interest on the $5400,
\(=\frac{5400}{100}*8\\ =432\)
So, the amount in the account at the end of 2 year =$5400+$432
=$5832.
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An account pays 7% per year simple interest. In year 1, the amount in the
account is
$950. How much is in the account in year 6?
Answers
The amount in year 6 is $1282.5.
What is simple interest?
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
rate of interest = 7%
time = 1 year
Amount on first year = $950
First we will calculate simple interest for 5 years, because amount is available for 1 year.
SI =PRT
SI = 950(7/100)1
SI = $332.5
Therefore, the amount after 6 years = 950+332.5
=$1282.5
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Kenny wants to buy 2 kilograms of hamburger buns and 2 kilograms of wheat rolls. How much will he spend? spelt rolls
$5.83/kilogram hot dog buns
$7.92/kilogram hamburger buns
$8.46/kilogram wheat rolls
$5.74/kilogram English muffins
Answers
Answer:
He will spend $32.76
Step-by-step explanation:
$7.92 * 2 kilograms = $15.84 (This is how much is spent on hamburger buns)
$8.46 * 2 kilograms = $16.92 (This is how much is spent on wheat rolls)
$15.84+$16.92 = $32.76 (This is the total amount spent)
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/5 for black, 1/25 for green, 1/15 for purple, and 1/20 for blue. What is the probability of pulling a purple or blue card, written as a reduced fraction?
Answers
Answer:
7/60
Step-by-step explanation:
Blue or purple = probability of blue + probability of purple
1/15 + 1/20 = 4/60 + 3/60 = 7/60
Hope this helps :)
Have a nice day!
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer
correct. If possible, reduce the final sum (PLEASE answer all 3 boxes)
Answers
Answer:
3/15, 10/15, 13/15
Step-by-step explanation:
We want 1/5 and 2/3 to share a common denominator.
1/5 has a denominator of 5, and 2/3 has a denominator of 3. They are both prime, so you can't have a smaller LCD than they multiplied, which is 15.
To make 1/5 into a denominator of 15, we multiply both the numerator and denominator by 3 (15 divided by 3) to make sure the fraction stays the same.
We get (1×3)/(5×3)=3/15
Apply this to 2/3, but instead of multiplying by 3, which gives you a denominator of nine, we multiply by 5 to make sure we get 15.
We get (2×5)/(3×5)=10/15
Now we see 3/15+10/15, using (numerator+numerator)/(denominator+denominator).
We get 13/15
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What is the area of the figure?
Answers
Answer: 23.76 sq yds
Step-by-step explanation:
0.5*9.9*4.7=23.76
Area of triangle: 0.5*b*h
Multiplying and Dividing Rational Numbers
On Tuesday at 2 p.m., the ocean's surface at the beach was at an elevation of 2.2 feet. Winston's house is at an
elevation of 12.1 feet. The elevation of his friend Tammy's house is 3 times the elevation of Winston's house.
Part A
How many times greater is the elevation of Winston's house than the elevation of the ocean's surface at 2 p.m.;
Answer:
Answers
Answer:
the answer is 9.9
Step-by-step explanation:
algebra domain and range please help
Answers
Answer:
Option 2.
Step-by-step explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)
Range: \((- \infty} ,0)\)∪\((0, \infty} )\)
Solve for x leave your answer in simplest radical form
Answers
Answer:
X=11 trust me on my mom
For each value of u determine whether it is a solution to -2u-6<-20
Answers
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
Which choice is not an example of a molecule? O3 H2S Mn KOH
Answers
Answer:
Mn
Step-by-step explanation:
If we look at the options given, we will easily realize that Mn is an element and not a molecule.
Hence the others are molecules but Mn is just an element and not a molecule because a molecule must contain a chemical bond- a linkage between two or more atoms given that a molecule is the smallest unit of a compound.
Answer:
Mn
Step-by-step explanation: I took the quiz and I got this question wright hope you have a good day
If I paid 1/7 of the total bill and the remainder of the bill was $114, how much did I pay?
l
Answers
Solve each equation.
11. A number x divided by nine is two.
Answers
Answer:
18 is the correct answer to this
Step-by-step explanation:
18/9=2
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answers
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
Sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes
Point
Slopes
(1, 1)
(a) 3 (b) -3 (c) -5/2 (d) Undefined
Answers
The sketch for slope is attached below.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Point Slopes
(1, 1) (a) 3
_ (b) -3
_ (c) -5/2
_ (d) Undefined
a) Now, using slope intercept form
y - 1= 3 (x-1)
y- 1= 3x- 3
y= 3x - 2
(b) Equation of a line has a slope -3 is given by
y - 1= (-3) (x-1)
y-1 = 3- 3x
y = -3x + 4
(c) Equation of a line has a slope -5/2 is given by
y - 1= (-5/2) (x-1)
y-1 = -5/2x + 5/2
y= -5/2x + 7/2
(d) The line parallel to y axis and passes through given point : x=1
"undefined" means the line is vertical.
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Enter the ordered pair for the vertices for (Ry-axis T(2, 0))(QRST).
I need help with this please help me
Answers
Answer:
Q'(-3, 5)R'(-5, -1)S'(-2, 0)T'(0, 3)Step-by-step explanation:
You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).
Composition of TransformationsThe problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.
TranslationThe numbers in the translation vector are added to the coordinates:
(x, y) ⇒ (x+2, y+0)
ReflectionReflection over the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
ApplicationThen the composition of transformations is ...
(x, y) ⇒ (-(x+2), y)
Q(1, 5) ⇒ Q'(-3, 5)
R(3, -1) ⇒ R'(-5, -1)
S(0, 0) ⇒ S'(-2, 0)
T(-2, 3) ⇒ T'(0, 3)
trouve trois nombres entiers consécutifs dont la somme vaut 513
Answers
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
What is 9 out of 20?
Answers
To find 50% of a number, divide the number by .
To find 25% of a number, divide the number by .
To find 10% of a number, divide the number by .
Answers
Answer:
1. 2
2. 4
3. 10
Answer:
1.2
2.4
3.10
Step-by-step explanation:
Simplify the expression1+4.25n+3/2p-3+(2p)+5/4n 1 + 4.25n +3/2p -3 +(-2p) + 5/4n
Answers
Given:
\(1+4.25n+\frac{3}{2}p-3+\mleft(-2p\mright)+\frac{5}{4}n\)Simplify the expression,
\(\begin{gathered} 1+4.25n+\frac{3}{2}p-3+\mleft(-2p\mright)+\frac{5}{4}n \\ (4.25+\frac{5}{4})n+(-2+\frac{3}{2})p-3+1 \\ 5.5n-\frac{1}{2}p-2 \end{gathered}\)Answer:
\(5.5n-\frac{1}{2}p-2\)