Answer:
Step-by-step explanation:
Pie eaten by David and Peter = (1/4) + (2/5)
\(= \frac{1*5}{4*5}+\frac{2*4}{5*4}\\\\=\frac{5}{20}+\frac{4}{20}\\\\=\frac{9}{20}\)
Remaining pie = 11/20
you have $8 and a $5 off coupon to buy snacks at a concession stand. Write and solve an inequality to represent the regular price of snacks. you can buy if you use the coupon
An inequality to represent the regular price of snacks, if i can buy using the coupon, x ≤ $13
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
There are two coupons available, $8 and a $5 off on buying snacks
Let's call the regular price of the snacks "x".
Since you have a $5 off coupon,
the price you would actually pay would be x - $5.
And since you only have $8, the price you pay for the snacks cannot be greater than $8:
x - $5 ≤ $8
Adding $5 to both sides:
x ≤ $13
So, the regular price of the snacks must be less than or equal to $13 if you want to use the coupon and still have enough money to pay for them.
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This is worth 30 points
Answer:
There's 3 questions which one do I answer?
Step-by-step explanation:
Translate the sentence into an equation. Three less than the product of 6 and a number equals 4. Use the variable b for the unknown number.
Answer:
(6 x b) - 3 = 4
Step-by-step explanation:
or you can do 6b - 3 = 4
Joseph and Deb deposit $600.00 into a savings account which earns 5% interest compounded
continuously. They want to use the money in the account to go on a trip in 1 year. How much
will they be able to spend?
Round your answer to the nearest cent.
Answer:
We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:
A = Pe^(rt)
where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.
Substituting the given values, we get:
A = $600.00e^(0.05*1)
Using a calculator, we get:
A ≈ $632.57
Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.
Use the distributive property to remove the parentheses
-5(-4y-w+3)
Answer:
Step-by-step explanation:
Original Equation:
-5(-4y - w + 3)
Multiply -5 by -4y
20y
Multiply -5 by -w
5w
Multiply -5 by 3
-15
Plug these values back into the equation
20y + 5w - 15
Hope this helps :)
The distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.
What is the equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The equation is given;
⇒-5(-4y - w + 3)
Step 1;
Multiply -5 by -4y
⇒-5×-4y
⇒20y
Multiply -5 by -w
⇒-5 ×- w
⇒5w
Multiply -5 by 3
⇒-5 × 3
⇒-15
Replenish the equation with these values
20y + 5w - 15
Hence,the distributive property to remove the parentheses -5(-4y-w+3) will be 20y + 5w - 15.
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For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
Solve the following system of equations.
-4x-5y=6
9x+7y=12
The values of x is 6 and y is (-6).
What is Solution of Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given:
-4x-5y=6............(1)
9x+7y=12..................(2)
Solving Equation (1) and (2) we get
-36 x - 45y = 54
36x + 28y = 48
____________
-17y= 102
y= -6.
and, -4x -5y= 6
-4x - 5(-6) = 6
-4x + 30 = 6
-4x = 6-30
-4x = -24
x= 6
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Given the equation in standard form, put it in slope-intercept form. Show all work.
25x + 5y = 50
If EB = 6.2, CD = 3.3, and ED= 6.2, what is the
value of BD?
f EB = 6.2, CD = 3.3, and ED= 6.2, then the value of B is 6.6.
What is isosceles l triangle?An isosceles triangle is a type of triangle with two sides of equal length. Two opposite angles of an isosceles triangle with equal sides are equal in size. In geometry, a triangle is a three-sided polygon that is classified into three categories based on its sides, for example:
Scalene Triangle (all three sides are unequal) Isosceles triangle (only two sides are equal) Equilateral triangle (all three sides are equal)Properties of an isosceles triangle
Since two sides of this triangle are equal, the unequal side is called the base of the triangle. The angles opposite two equal sides of a triangle are always equal. An isosceles triangle is measured from the base of the triangle to the apex .The third angle of a perfect triangle is 90 degrees.Therefore,
EB = 6.2
ED = 6.2
So EB=ED
ΔEBD is isosceles triangle and ∠BCE is right angle
so C is middle point of BD
Hence, BD = 2CD
= 2X 3.3
= 6.6
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Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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What would need to be added to 18 to ensure a non-zero rational answer?
A
8
B
18
С
25
D
It is not possible to be rational.
Answer:
A, B, C
Step-by-step explanation:
First we know that rational numbers are numbers that can be expressed as fractions and have the numerator and denominator of that fraction be integers/whole numbers. Example: 2 is a rational number because it can be expressed as fraction 2/1, 1.5 is also a rational number as it can be expressed as fraction 3/2. We can easily deduce here that all integers are therefore rational numbers.
From the above, 18 is an integer and is a rational number since it can be expressed 18/1 and will still be a rational number if integers such as in options A, B, C in the question are added to it(it would still be an integer)
Now to remain a non zero rational number, it would need not be evaluated 0/5 or 0/1 for example such that the quotient is 0 rational number, and since the interger is not zero and integers added to it in options A, B, C also increase and not decrease it, we can conclude that options A, B, C all make 18 a non zero rational number
If there are 8 people, and each person has 4 coins, there are ____ times as many coins as people.
Answer:
2 times
Step-by-step explanation:
Answer:
4 times
Step-by-step explanation:
8 x 4 = 32 total coins
32÷8 = 4
Therefore, there are 4 times as many coins as people.
Hope this helps! :)
What is 6721 x 381 divided by 14 + 84
Answer: 26129.6
Step-by-step explanation:
6721 x 381 = 2560701
14 + 84 = 98
2560701 / 98 = 26129.6
Ben flips a coin 25 times to simulate
students choosing tacos (H) or pizza (T) for
lunch. The coin lands on heads 14 times.
What is the experimental probability that
the next student will choose pizza?
Answer:
There's is a 99.99% the coin will land on tails
Step-by-step explanation:
the probability of landing on heads is 50%
to discover the probability of landing on heads 15 times in (50%)^15
which is 0.00003% chance so you subtract that total from 100% to receive 99.99% chance of receiving tails on the 15th flip
One Solution
x = a
No Solutions
a = b
Infinitely Many Solutions
X = X
Equation
5(a + 2) = 4a +12
5(2c + c) = 45 + 5c
2(a - 2) = 2a - 4
Solve
Check
your
solution
End
Results
Please help!!
Answer:
Step-by-step explanation:
One Solution
x = a
No Solutions
a = b
Infinitely Many Solutions
X = X
Equation
5(a + 2) = 4a +12
5(2c + c) = 45 + 5c
2(a - 2) = 2a - 4
Solve
Check
your
solution
End
Results
Answer:
prolly jus pray n ask god
math question helppppppppp
Answer:
it would be 17 m second one is 20inch third one is 6 meters
Step-by-step explanation:
np give it a heart
Answer:
1st) area = 12 x 3.7 = 44.4 m²
2nd) area = 24 x 18 = 432 in²
3rd) area = 7.3 x 5 =36.5 m²
Step-by-step explanation:
Mr guny deposits $45900 in a savings account that pays 1.5% interest compounded quarterly. find the first quarter's interest find the first quarter's balance
If we use m compounded per year Bt will be to:
\(\begin{gathered} B_t=B_0(1+\frac{r}{m})^{mt} \\ I_t=B_t-B_0 \end{gathered}\)Where:
B0 = deposits = $45900
r = compound yearly interest rate = 1.5% = 0.015
t = years
m = 4
The first quarter's interest
We have following:
\(\begin{gathered} B_t=45900\cdot(1+\frac{0.015}{4})^{4\cdot\frac{3}{12}} \\ B_t=45900\cdot(1+\frac{0.015}{4})^1 \\ B_t=46072.13 \end{gathered}\)Then:
\(I_{1th\text{ quarter}}=46072.125-45900=172.13\)Answer: The interest in first quarter is $172.13
The first quarter's balance
The balance is Bt, therefore:
Answer: The balance after first quarter is $46,072.13
in triangle QRS, ∠Q and ∠S have the same measure. If m∠R = 58°, find the measure of ∠Q and ∠S
61°
Step-by-step explanation:
In ΔQRS,
Let ∠Q = ∠S = x
Therefore, we know
Sum of all angles in a triangle = 180°
So,
∠QRS + ∠QSR + ∠RQS = 180°
58° + x + x = 180°
58° + 2x = 180°
2x = 180 - 58°
x = 122°/2
x = 61°
Therefore,
∠Q = ∠ S = 61°
Hope it helps you!!HELP ME PLEASE!!
Which equation is the exponential regression equation?
Answer:
Step-by-step explanation: An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data. As a result, we get an equation of the form y=abx where a≠0 .
Answer:c. Y=3.807•1.042^x
Step-by-step explanation:
What’s an Inequality?
Answer:
mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Answer:
The quality of being unequal or uneven is known as the inequality.Look at the number pattern shown below:3 × 17 = 5133 × 167 = 5511333 × 1667 = 555111What will be 33333 × 166667?
Answer:
33333 x 166667 = 5555511111
I think that is the answer you wanted
Step-by-step explanation:
166667
x 33333
5555511111
The Box Has A Volume Of 845. Find X
Answer: x=6.5
Step-by-step explanation: 13 x 10=130
845/130= 6.5
10. The local YMCA charges a $79 membership fee and
$42.50 per month. Allison has a coupon that will allow
her to join the club for $298 for 6 months. How much
will Allison save if she uses the coupon?
Answer:
$79
Step-by-step explanation:
A cone will be inscribed in a sphere of radius 11 in.
Part A: Find the exact dimensions of the cone of largest volume that will fit inside the sphere. (20 points)
Part B: Find the maximum volume cone to the nearest tenth. (20 points)
The exact dimensions of the cone of largest volume that will fit inside the sphere will be 14.67 inches and 22✓2/3 inches.
How to calculate the dimensions?From the information given, the height of the cone will be:
h = 11 + x
h = 11 + 3 2/3
h = 14 2/3 inches
The radius of the base of the cone will be:
= ✓121 - ✓121/9
= 2✓2(11)/3
= 22✓2/3
Therefore, the dimensions of the cone aren't 14.67 inches and 22✓2/3 inches.
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What is the surface area of the cube in square units? 1,400 square units 2,400 square units 4,800 square units 8,000 square units
Answer:
2400 square units (B)
Step-by-step explanation:
Find attached the complete question.
We would apply the formula for finding the surface area of a cube
Surface area of cube = 6a²
Where a = side length of the cube
From the complete question, side length of the cube (a) = 20units
Surface area of the cube = 6 (20)²
= 6×20×20 = 2400 units²
Surface area of the cube = 2400 square units (B)
Answer:
2400
Step-by-step explanation:
This question is designed to be answered without a calculator.
If f(x) = 5(x2 – 1), thenLimit of StartFraction f (x) minus f (2) Over x minus 2 EndFraction as x approaches 2 =
0.
5.
10.
20.
The limit of [f(x) - f(2)]/[x - 2] as x approaches 2 is 20
How to evaluate the limit as it approaches 0From the question, we have the following function that can be used in our computation:
f(x) = 5(x2 – 1)
Rewrite as
f(x) = 5(x² – 1)
The limit is given as
[f(x) - f(2)]/[x - 2]
Calculate f(2)
So, we have
f(2) = 5(2² – 1)
Evaluate
f(2) = 15
Substitute f(2) = 15 in [f(x) - f(2)]/[x - 2]
So, we have
[f(x) - f(2)]/[x - 2] = [5(x² – 1) - 15]/[x - 2]
Open the brackets
[f(x) - f(2)]/[x - 2] = [5x² – 5 - 15]/[x - 2]
Evaluate the like terms
[f(x) - f(2)]/[x - 2] = [5x² – 20]/[x - 2]
Factorize
[f(x) - f(2)]/[x - 2] = [5(x² – 4)]/[x - 2]
Express as difference of two squares
[f(x) - f(2)]/[x - 2] = [5(x – 2)(x + 2)]/[x - 2]
Divide
[f(x) - f(2)]/[x - 2] = 5(x + 2)
Limit x to 2
[f(x) - f(2)]/[x - 2] = 5(2 + 2)
Evaluate
[f(x) - f(2)]/[x - 2] = 20
Hence, the limit is 20
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Tracey paid $135 for an item that was originally priced at $260. What percent of the original price did Tracey pay?
Round your percentage answer to two decimal places.
Do NOT include a
%
symbol with your answer
Answer:
51.92
Step-by-step explanation:
135/260 = .51923076923 x 100 to get the percentage
51.923076923 and round
Robert has some nickels and some dimes. He has a maximum of 29 coins worth no less than $2.20 combined. If Robert has 10 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Robert's dimes are anywhere between 17 and 19.
Explanation:Nickels
are worth 5 cents, and
dimes
are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.
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A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps