Answer:
11
Step-by-step explanation:
let's make a key:
Julio's age = x
Julio's father's age = 4x
the sum of their ages is no less than 55, so it's equal or more than 55. we have this inequality:
4x+x > 55
5x>55
x>11
so the youngest Julio can be is 11 years old
What is the volume of the composite figure if both the height and the diameter of the cylinder are 3.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
Volume of composite figure = 44.9 feet³
Step-by-step explanation:
Given:
Height of cylinder = 3.5 feet
Diameter of cylinder = 3.5 feet
Diameter of hemisphere = 3.5 feet
Find:
Volume of composite figure
Computation:
Radius of cylinder and sphere = 3.5/2 = 1.75 feet
Volume of composite figure = Volume of cylinder + Volume of hemisphere
Volume of composite figure = πr²h + (2/3)πr³
Volume of composite figure = (3.14)(1.75)²(3.5) + (2/3)(3.14)(1.75)³
Volume of composite figure = (3.14)(3.0625)(3.5) + (2/3)(3.14)(5.359375)
Volume of composite figure = 33.656875 + 11.2189583
Volume of composite figure = 44.8758
Volume of composite figure = 44.9 feet³
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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[4x2+(5+1)] devide 2 =
Answer:
7
Step-by-step explanation:
[4x2+(5+1)] ÷ 2
[8+(6)] ÷ 2
14 ÷ 2
7
Zoe is saving money to go on a trip to Mexico. She earns 16.75 for mowing the lawn . If Zoe mows the lawn 28 times how much money will she earn
469
do 16.75 x 28 which will equal to 469
Test #
Let x represent the figure number and represent the number of tiles in a Tile Pattern.
The equation y = 5x + 3 can be us to mode the Tile Pattern.
Explain the meaning of the 5 and the 3 in the equation.
What is a weakness of manual what-if analysis? a. biased sample values of performance measures b. hard to do many what-if scenarios c. does not provide distribution information d. all of these are weaknesses
Answer:
A
biased sample values of performance measures,
Step-by-step explanation:
Answer: the answer should be D. I hope I was useful :>
Step-by-step explanation: A What-If Analysis is about looking at what happens when certain actions are taken. From the different scenarios, you then look at which results contributes most to the objective. For instance, if a company is dealing with high employee turnover, they want to find a new way to hire employees.
The ratio of cups of orange juice concentrate to water in a punch recipe is 1 : 6. If Stefan made 18 cups of punch, how many cups of orange juice concentrate did he use?
We have the next information
1 cup of orange juice concentrate by 6 cups of water in order to do 7 cups of punch
We want to know how many cups of orange juice concentrate he uses in 18 cups of punch
1 cup orange juice concentrate ------ 7 cups of punch
x ------ 18 cups of punch
x is the cups of orange juice concentrate in 18 cups of punch
x can be calculated if we divide 18 between 7
\(x=\frac{18}{7}=2.57\text{ }\)we will need 2.57 cups of orange juice concentrate
you go to the store and buy 5 large bags of skittles and a bottle of water . The bottle of water cost 1.50. If you spent 11.50 at the store, how much did each bag of skittles cost?
Step-by-step explanation:
ANSWER:-Let the cost of one skittles be x.So the cost of 5 skittles will be 5x.Now, given that:-
Cost of one water bottle is 1.50 units.
And amount that I spent is 11.50 units.
So, the reaming amount is
\(11.50 - 1.50 = \boxed{10 \: units}\)
So, now if I place in Equations,
5x = 10
\(x = \dfrac{10}{5} = 2\)
So, Each bag of skittles cost 2 units.
3,998-(-7)= can you please help me with this problem
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
I’m not sure how to answer this, please help!!
Answer: a= -3,0 and b= 0,18 c= -1,0 d= 3,0
Step-by-step explanation:
Btw Im a demon slayer #1 fan no one can top me
Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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please help me asap asap asapp!!
Answer:
the answer to the question is c
The number of days, d, that it will take to build a house is given by
d= 720 divided by n
where n is the number of workers used each day.
Ali's company will take 40 days to build the house.
Hayley's company will take 30 days to build the house.
Hayley's company will have to use more workers each day than Ali's company.
How many more?
Answer:
6 more workers
Step-by-step explanation:
The relationship between days (d) and number of workers (n) is given by the equation;
d = 720 / n
Ali's company will take 40 days to build the house.
n = 720 / d
n = 720 / 40 = 18 workers
Hayley's company will take 30 days to build the house.
n = 720 / d
n = 720 / 30 = 24 workers
Hayley's company will have to use more workers each day than Ali's company.
How many more?
24 - 18 = 6 more workers
Select all of the following that are quadratic equations. 7x2 + 14x = 0 x3 - 3x2 + 1 = 0 5x - 7 = 0 x2 + 3x -5 = 0 x - 5 = 9x + 7 x2 - x = 3x + 7
Answer:
7x2 + 14x = 0
x2 + 3x -5 = 0
x2 - x = 3x + 7
Step-by-step explanation:
A quadratic equation has the highest power of x to the second power. It must have x to the second power
7x2 + 14x = 0 quadratic
x3 - 3x2 + 1 = 0 not quadratic but cubic
5x - 7 = 0 not quadratic but linear
x2 + 3x -5 = 0 quadratic
x - 5 = 9x + 7 not quadratic but linear
x2 - x = 3x + 7 quadratic
Solve following modular equation, using reverse Euclidean algorithm:
\((5 * x) mod 91 = 32\)
The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
Given that (5*x) mod 91 =32.
To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.
Consider (5*x) mod 91 =32.
5x = 32(mod 91)
Apply the Euclidean algorithm to find GCD of 5 and 91 is
91 = 18 * 5 + 1.
Rewrite it in congruence form,
1 = 91 - 18 *5
On simplifying the equation,
1 = 91 (mod 5)
The modular inverse of 5 modulo 91 is 18.
Multiply equation by 18 on both sides,
90x = 576 (mod91)
To obtain the smallest positive solution,
91:576 = 6 (mod 91)
Divide both sides by the coefficient of x:
x = 6 * 90^(-1).
Apply the Euclidean algorithm,
91 = 1*90 + 1.
Simplify the equation,
1 + 1 mod (90)
The modular inverse of 90 modulo 91 is 1.
Substitute the modular inverse in the given question gives,
x = 6*1(mod 91)
x= 6 (mod91)
Therefore, the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
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I had $10 my mom gives me $30 my dad gave me $30 my aunt and uncle give 100 dollars I had $10 how much did I have
Answer:
The total amount of money i have will be $180.
Step-by-step explanation:
Given information:
The amount of money i had = $10
Mom gives me $30
Dad gives me $30
And Aunt and uncle gives me $100
And i had $10 more.
Then the total amount of money i have will be the sum of all money i receive.
Hence , the total money (x)
x = 10+30+30+100+10
x = 180
So, i have $180.
Hence, the total amount of money i have will be $180.
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5. Find the vertex and y-intercept of the quadratic function.
y = 3x2 - 12x + 40
The vertex of the function is (2, 28) and the y-intercept of the function is (0, 40)
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the vertex?The equation of the function is given as
y = 3x^2 - 12x + 40
Differentiate the function
So, we have
y' = 6x - 12
Set the function to 0
So, we have
6x - 12 = 0
This gives
6x = 12
Divide by 6
x = 2
Substitute x = 2 in y = 3x^2 - 12x + 40
y = 3 x 2^2 - 12 x 2 + 40
Evaluate
y = 28
This means that the vertex of the function is (2, 28)
Substitute 0 for x to determine the y-intercept
y = 3 x 0^2 - 12 x 0 + 40
Evaluate
y = 40
This means that the y-intercept of the function is (0, 40)
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Help please! What is the number in the * cell? Please see photo.
Answer:
-5
Step-by-step explanation:
let the number be x then,
use first row minus second row. then you'll get 3, 3, 5, x-4
now look at the bottom row the numbers digits
1+2 = 3
2+1 = 3
2+3 =5
2+7 = x-4
so solve for x, x=-5
Helpppp Please Please pretty please help this is TIMES NO LINKS or I WILL REPORT YOU I will mark brainliest please give explanation please
Answer:
W = 15.5 in.
A = 240.25 in.^2
Step-by-step explanation:
L = 31 in.
W = 1/2 W = 15.5 in.
A = LW/2
A = 31 in. * 15.5 in. / 2
A = 240.25 in.^2
Find the equation of the line parallel to y=-11-5, that passes through the point
(4, -3). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or-a/b.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Answer: y=41−11x.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
if it is 19 feet from your living room to your bedroom how many inches is it?
A. 129 inches
B. 228 inches
C. 304 inches
D. 103 inches
Answer:
the answer is 228 so b
Step-by-step explanation:
i foot has 12 inches so you multiply 12 and 19 and then you get 228
hope this helped
can i get brainliest
The first number in a pattern is 84. The pattern follows the rule divide by 2 then add 10. Find the next three terms and then describe the pattern
Answer:
84
34
27
Step-by-step explanation:
(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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A) Someone determined 24 x 12 by adding (24 x 10) and (24 x 2). What property were they using? O the associative property of multiplication
O the commutative property of multiplication
O the distributive property
O the identity property of multiplication
O the zero property of multiplication
4. D) Someone determined (9 x 6) x 5 mentally by multiplying (9 x 5) x 6. What properties did they use? (Select all apply.)
O the associative property of multiplication
O the commutative property of multiplication
O the distributive property
O the identity property of multiplication
O the zero property of multiplication
A) The property being used is the distributive property of multiplication.
B) The properties used to determine (9 x 6) x 5 mentally by multiplying (9 x 5) x 6 are the associative property of multiplication and the commutative property of multiplication.
The distributive property of multiplication is used when someone determines 24 x 12 by adding (24 x 10) and (24 x 2). This property is when we can split an expression that consists of the sum or difference of two terms multiplied by a third term.
This can be represented as a(b + c) = ab + ac or a(b - c) = ab - ac. In the problem, the expression 24 x 12 is split into 24 x 10 and 24 x 2 to make it easier to solve.
When someone determines (9 x 6) x 5 mentally by multiplying (9 x 5) x 6, they are using the associative property of multiplication and the commutative property of multiplication.
The associative property states that changing the grouping of the factors does not change the product. This can be represented as (a x b) x c = a x (b x c).
In the problem, the person multiplied 9 by 5 first and then multiplied the result by 6, which is the same as multiplying 6 by 9 first and then multiplying the result by 5.
The commutative property states that the order of the factors does not change the product. This can be represented as a x b = b x a. In the problem, the person switched the order of 9 and 5 to make it easier to solve mentally.
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7. A company invests in a new project and it is expected that after years of running the cumulative project in millions of shillings from the project is given by the function f(t)=10.5t-+- 20 where t represents time in years. The project can run for maximum of nine years required (1) Draw a graph which represent the profit functions (Smarks)
Answer:
what are the objectives of census class 7
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D′E′F′G′H′I′: Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4
Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.
In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.
For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.
To find the image of point E under this translation, you can apply the same translation to point E:
Point E is located at (5, 5).
The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).
You can follow the same process to find the images of the other points under the translation.
Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.
In this case, the translation vector is given by the displacement from point D to point D′:
Point D is located at (2, 5).
Point D′ is located at (-6, -2).
The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).
To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:
Point E is located at (5, 5).
The translation vector is (-8, -7).
The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).
You can follow the same process to find the images of the other points under the translation.
Step-by-step explanation:
Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger
Answer:
Dollars per passenger would be $252.
The maximum revenue is $63,404.
Step-by-step explanation:
Let's define the number of passengers above 212 as x.
The revenue function is given by R(x) = (212 + x)(292 - x).
We can expand and simplify the revenue function:
\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)
= \(61804 - 212x + 292x - x^2\)
= \(-x^2 + 80x + 61804\)
The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.
To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).
\(x=\frac{-80}{2*(-1)}\)
\(= \frac{80}{2}\)
\(= 40\)
Therefore, the number of passengers above 212 for maximum revenue is 40.
Substitute x = 40 into the revenue function to find the maximum revenue:
\(R(x) = -(40)^2 + 80(40) + 61804\)
\(= -1600 + 3200 + 61804\)
\(= 61804 + 1600\)
\(= 63404\)
Hence, the maximum revenue is $63,404.
To determine the fare per passenger, subtract x from the base fare of $292:
Fare per passenger = Base fare - x
\(= 292 - 40\)
\(= 252\) Dollars per passenger.
HELP ASAP!! what is the value of f(-3)
Answer:
f(-3) = 4
Step-by-step explanation:
There are two ways to do it with the information given to you, you can look at the graph or use the equation.
Equation:
Since x = -3, you would put -3 in for x in the first equation which gives 4. It looks like you were on the right track but forgot that it was negative so you ended up adding 3 instead of subtracting. At least that is where I assume the 10 comes from.
Graphical:
Looking at the graph you can also find the value. You want to find the value of y at x = -3, so you look at the spot where x = -3. You will see that there are two "points" there, one open and one closed. The closed circle one means that the graph includes -3 in its x value. The open circle one means the graph contains every number until x=-3.
So to find the y value at x = -3 you want to look at the y value that corresponds to the closed circle of the graph since it is the part that includes x=-3 and you will see that y = 4 at that spot.
factor and solve the zeros for the following x^2+10x-75=0
2 Probability of people that like cheese and can’t ride a bike
3 find the marginal probability of people that like pepper pizza
4 find the conditional of ppl that like cheese given that they can’t ride a bike
Use the table!!!!!!! QUICKKKKKK
Answer:
i think its 60%
Step-by-step explanation:
if its wrong im rlly sorry
mark me as brainliest if its right pls