Altogether they have 85 marbles.
Given,
Randy's marbles = 50
Randy's marbles is 5/2 of Andy's marbles.
Randy's marbles is 10/3 of Peter's marbles.
Now form the linear equations,
Let Andy has x marbles.
So,
5/2 × x = 50
x = 20
Andy's marbles = 50
Let Peter has y marbles.
So,
10/3 × y = 50
y = 15
Peter's marbles = 15
Thus total marbles of Randy , Andy , Peter is 85.
Know more about equations,
https://brainly.com/question/20778317
#SPJ1
Answer:
85 marbles
Step-by-step explanation:
Andy has 20
Randy has 50
Peter has 15
Find the volume of a cone of radius 3.5cm and vertical height 12 cm.
Answer:
Volume ≈ 153.93804 cm^3
Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.
Step-by-step explanation:
The points (0, 2), (1, 3), (2, 6), and (3, 11) are on the graph of a function. Which of the following equations represents that function?
A.
h(x) = x + 2
B.
h(x) = 2x2
C.
h(x) = x2 + 2
D.
h(x) = 0.5x2 +1.5
Answer:
The Answer is D
Step-by-step explanation:
The equation that represents the function is \(h(x) = x^{2} +2\).
Let us say the function is of form \(h(x) = x^{n} +c\)......(1)
What is a Function?
A function is a rule that establishes a relation between two variables.
Points on this graph are (0, 2), (1, 3), (2, 6), and (3, 11).
So, these points will satisfy the graph,
This means, In (1) we can put the given coordinates.
Let us put (0,2)
i.e. \(2 = x^0 + c\)
c =2
So (1) becomes \(h(x) = x^{n} +2\).....(2)
To get n let us put (2,6) in (2)
\(6 = 2^{n} +2\\2^n = 4\\2^n = 2^2\\n = 2\)
So, (2) becomes \(h(x) = x^{2} +2\)
Therefore, the equation that represents the function is \(h(x) = x^{2} +2\).
To get more about function visit:
brainly.com/question/24696306
Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84
Answer:
its c or 83 bc you add them all together then divide by the amount of grades he has in total
What is the difference?
х
4
x2-2x-15 x² + 2x-35
x2 + 3x+12
(x-3)(x-5)(x+7)
x(x+3-12)
(x+3)(x-5)(x+7)
x2 + 3x+12
(x+3)(x-5)(x+7)
x2 + 3x-12
(x+3)(x-5)(x+7)
The difference of the equation is A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the first equation be P = x / ( x² - 2x - 15 )
Let the second equation be Q = 4 / x² + 2x - 35 )
Now , A = P - Q
On simplifying , we get
A = x / ( x² - 2x - 15 ) - 4 / x² + 2x - 35 )
Taking the LCM , we get
A = x ( x + 7 ) - 4 ( x + 3 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
A = x² + 7x - 4x + 12 / ( x + 3 ) ( x - 5 ) ( x + 7 )
A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
Therefore , the value of A is ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
Hence , the equation is A = ( x² - 3x - 12 ) / ( x + 3 ) ( x - 5 ) ( x + 7 )
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ7
Converse statement. If this month is February then the next month is march
Answer:
If the month is march then the next month is February
Step-by-step explanation:
Hurry please WILL GIVE BRAINLIST
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out an orange tile?
fraction 18 over 26
fraction 24 over 26
fraction 24 over 50
fraction 26 over 50
Answer:
26/50 bc she did it 26 out of 50 times ??
What happens to a consistent slope when the y value starts to decrease and the x value remains the same over time?
A. Y decreases and X decreases
B. Y decreases and X increases
C. Y increases and X increases
D. Y increases and X decreases
When the y-value starts to decrease and the x-value remains constant over time, Y decreases and X increases to a consistent slope.
A consistent slope represents a constant rate of change between two variables, typically represented by the ratio of the change in y to the change in x.
When the y-value starts to decrease and the x-value remains the same over time, the consistent slope represents a negative correlation between y and x.
This means that as the value of y decreases, the value of x remains the same or may increase, depending on the context of the problem.
Therefore, the answer is option B: Y decreases and X increases.
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
..........................................what's the exchange rate at the post office is £1
Answer:
€327.6
Step-by-step explanation:
==>Given:
Post office exchange rate=> £1 = €1.17
==>Required:
Amount of Euros that will get me £280
==>Solution:
Using the exchange rate at the list office as stated in the question, convert £280 to euros:
Let x be the amount in euros
£1 = €1.17
£280 = x
Cross multiply to equate
x*£1 = €1.17*£280
Divide both sides by £1 to make x the subject of formula
x = (€1.17*£280)/£1
x = €327.6
You will get €327.6 for £280
find the products 7c^3(3c^2-7c+2)
Answer:
21c^5 − 49c^4 + 14c^3
Step-by-step explanation:
7c^3 * 3c^2 is 21c^5
7c^3 * -7c is -49c^3
7c^3 * 2 is 14c^3
If you put it in a equation the equation will be
21c^5 − 49c^4 + 14c^3
Hope this helps!
4.55 (5.8) + 5.15 (6) =
Answer:
57.29
Step-by-step explanation:
4.55 (5.8) + 5.15 (6) = 57.29
Answer:
vvvvvhbsjshshdhsbsbdbdbdbdu
Question
Each of two bike shops charges a set fee plus an hourly rate for each rental. The cost of renting a bike from two shops is
shown in the table.
Hours Rented Shop A Cost ($) Shop B. Cost ($)
7
9
25
27
How many more dollars does Shop B charge per hour than Shop A? Do not include units in your answer.
Based on the information provided, it can be concluded that Shop B charges $1.08 more than shop A.
How much does each shop charge per hour?To calculate this, the formula that can be used is total cost/number of hours. Based on this, let's calculate the rate for each shop:
Shop A: 25/9 = 2.77 (rate per hour in shop A)
Shop B: 27/7 = 3.85 (rate per hour in shop B)
What is the difference in the rates?To know the differences, let's use subtraction:
3.85 - 2.77 = 1.08
Based on this, shop B charges $1.08 more than shop A.
Learn more about rates in https://brainly.com/question/14731228
#SPJ1
answer yes or no and explain why or why not.if a/5 = 8 + 9, does a/5 + 9 = 8 + 9?
Equations
We are given the following equation:
a/5 = 8+ 9
Adding 9 to both sides of the equation we have:
a/5 + 9 = 8 + 9 + 9
It's evident that a/5 + 9 is not equal to 8 + 9, but to 8+9+9 instead.
Answer: No
Use the definition of continuity and the properties of limits to show that the function
The given function is continuous at x = 3, RHL = LHL = F(2)
What is continuity ?In mathematics, The function is called as continuous at the particular value of x, if right hand limit, left hand limit and the value of function at x all are equal.
RHL = LHL = F(x)
Limit exist and continuous
Given that,
F(x) = (x²-9)/(x² - x -6)(x² + 6x +9)
To check whether it is continuous at x = 2
First taking LHL,
\(\lim_{h \to \ 0}\) ((2-h)²-9)/((2-h)² - (2-h) -6)((2-h)² + 6(2-h) +9)
⇒ -5/(-4x25)
⇒ 1/20
Now, taking RHL
\(\lim_{h \to \ 0}\) ((2+h)²-9)/((2+h)² - (2+h) -6)((2+h)² + 6(2+h) +9)
⇒ -5/(-4x25)
⇒ 1/20
The value at x = 3
F(3) = ((2)²-9)/((2)² - (2) -6)((2)² + 6(2) +9)
= -5/(-4x25)
= 1/20
Hence Proved, RHL = LHL = F(2)
To know more about limits and continuity check:
brainly.com/question/30328478
#SPJ1
Quadrilateral RSTU is similar to quadrilateral LMNO. What is the value of LO if RU is 6 inches, LM is 45 inches, and RS is 9 inches?
The value of LO if RU is 6 inches is solved to be 30 inches
What are similar polygons?This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions
Examining the figure when LM is 45 inches, and RS is 9 inches
the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5
9 * 5 = 45
when RU = 6 inches
6 * 5 = 30 inches
hence LO is 30 inches
Learn more about similar polygons here:
https://brainly.com/question/29333623
#SPJ1
to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.
Both of you are correct because using either way can solve the equation for the value of x.
How to solve for x ?In the case of solving for x in 2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.
Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :
Multiplying :
2/5 x = 14
5 / 2 x 2 / 5 x = 14 x 5 / 2
x = 35
Dividing :
2/5 x = 14
2 / 5 x / 2 / 5 = 14 / 2 / 5
x = 35
Find out more on solving for x at https://brainly.com/question/2763008
#SPJ1
please help.
definitions: 1. definition of right triangle
2. definition of isosceles TrianglesReflexive
3. HL
4. definition of perpendicular
5. CPCTC
6. reflexive
From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC
How to solve two column proof problems?The two column proof to show that ∠BAC ≅ ∠DAC is as follows:
Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD
Reason 1: Given
Statement 2: AB ≅ AD
Reason 2: Definition of isosceles Triangles
Statement 3: ∠1 and ∠2 are right angles
Reason 3: Definition of perpendicular
Statement 4: AC ≅ AC
Reason 4: Reflexive Property
Statement 5: ΔABC and ΔADC are right triangles
Reason 5: Definition of right triangle
Statement 6: ΔABC ≅ ΔADC
Reason 6: HL Congruency
Statement 7: ∠BAC ≅ ∠DAC
Reason 7: CPCTC
Read more about two column proof at; brainly.com/question/1788884
#SPJ1
In which of these situations do the quantities combine to make 0? 4 of 5 QUESTIONS A player in a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive. OA bird flies 25 feet up in the air. It then flies 25 feet across to its nest. Veronica receives $21 for babysitting. She then spends $21 on a new shirt. SUBMIT
The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.
When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.
In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.
The total points earned in this situation would be 8, which is not equal to 0.
In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.
In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.
Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.
For more such questions Veronica,click on
https://brainly.com/question/2056768
#SPJ8
The probable question may be:
In which of these situations do the quantities combine to make 0?
A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.
B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.
C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.
D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.
Lee Company allocates overhead expenses to all departments on the basis of floor space (square feet) occupied by each department. The total overhead expenses for a recent year were $200,000. Department A occupied 8,000 square feet; Department B, 20,000 square feet; and Department C, 7,000 square feet. What is the overhead allocated to Department C? (Round your answer to the nearest whole dollar amount.)
The overhead allocation to Department C, based on the total overhead expenses is $40,000
How to find the overhead allocation?The amount of overhead that is allocated to the departments, depends on the individual floor space of the department, and the total floor space.
The formula for the allocation of overhead to Department C is:
= Floor space of Department C / Total floor space of all departments x Total overhead expenses
= 7, 000 / ( 8,000 + 20, 000 + 7, 000) x 200, 000
= 7, 000 / 35, 000 x 200,000
= $40,000
Find out more on overhead allocation at https://brainly.com/question/26454135
#SPJ1
Find the size of the following angles
Step-by-step explanation:
Q1. By linear pair, I know that 72* + unknown angle = 180*
therefore unknown angle = 180-72 = 108*
Now because this is a pentagon, the total of all interior angles of a polygon equals 540*
so 108* + 100* + 110* + 45* (Half of 90 , written as a semi-square) + Y* = 540
Y* = 540 - 363 = 177*
Q2. 360 - (80+70+110) = q
q = 360 - 220 = 140*
Q3. 160+160+ S* = 360*
360* - 320* = S*
S* = 40*
Hope it helps
if f(x)=2x2+5 then f(-3)=
The function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
We are given the function:
f ( x ) = 2 x² + 5
We need to find the value of f ( -3 ).
We will do this by substituting the value of x = - 3 in the function and then evaluating the expression.
Putting x = -3 in the function, we get that:
f ( x = - 3 ) = 2 (- 3)² + 5
Solving the square, we get that:
f (- 3) = 2 ( 9 ) + 5
Simplifying the expression, we get that:
f (- 3) = 18 + 5
f (- 3) = 23
Therefore, we get that, the function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
Learn more about function here:
https://brainly.com/question/4025726
#SPJ9
Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X
The measure of side length x in the right triangle is approximately 6.03 cm.
What is the measure of side length x?The figure in the image is a right triangle having one of its interior angle at 90 degrees.
From the figure:
Angle θ = 37 degrees
Adjacent to angle θ = 8 cm
Opposite to angle θ = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 37 ) = x / 8
x = tan( 37 ) × 8
x = 6.03 cm
Therefore, the value of x is 6.03 cm.
Learn more about trigonometric ratio here: brainly.com/question/28016662
#SPJ1
PLZZZ HELPPP THIS IS DUE!!
This is a story problem. You may use the method of your choice to solve the problem. (substitution, combination, elimination )
The sum of 2 numbers ( x and y ) is +12
The difference of the same 2 numbers is -4
1. Which method will you use and why?
2. How will you set up the equation needed to solve?
3. What is the solution expressed as an ordered pair? (x,y)
Answer:
y=3x-2..... i
x-y=4...... ii
x-4=y
Substituting the value of y in equation i,
x-4=3x-2
2-4=3x-x
-2=2x
x=-1.
From ii,
-1-4=y
y=-5.
x=-1, y=-5
Step-by-step explanation:
brainest please
2x/3 divided by 3x/2 if x does not equal 0
The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2x/3 ÷ 3x/2 when x ≠ 0.
This can be written as,
= (2x/3) x (2/3x)
= 2/3 x 2/3
= 4/9
Thus,
The value of the expression is 4/9.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Estimate the sum of 379+409=
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
Kelly is taking a cross-country road trip. She was able to drive 325 miles in 2 days. If her car gets 30 miles to the gallon, how many gallons of gas did she use for the trip?
Answer:
the awnser is 19,500
Step-by-step explanation:
you multiply 325 × 2=650 then you multiply 30×650=19,500
2+2=
a. 3
b. 5
c. 4
d. 7
Answer:
C
Step-by-step explanation:
2
+2
-----
4
How to use Pascal’s triangle to find x^2 using the difference quotient formula
Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.
To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:
1. Write the second row of Pascal's triangle: 1, 1.
2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.
3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.
4. Apply the difference quotient formula: f(x + h) - f(x) / h.
5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.
6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.
7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.
8. Divide both terms in the numerator by h: 2x + h.
9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.
For more such questions on triangle
https://brainly.com/question/28470545
#SPJ8
What dose that sing mean before the square root mean and also what is the answer
The thing before the square root means that the answer can be positive and negative.
PC Magazine asked all of its readers to participate in a survey of their satisfaction with different brands of electronics. In the 2004 survey, which was included in an issue of the magazine that year, more than 9000 readers rated the products on a scale from 1 to 10. The magazine reported that the average rating assigned by 225 readers to a Kodak compact digital camera was 7.5. For this product, identify the following:
a. The population
b. The parameter of interest
c. The sampling frame
d. The sample size
e. The sampling design
Solution :
According to the question PC magazine conducted a survey and asked its readers to participate their satisfaction with the different brands of the electronic item. Around 9000 readers rated the product from scale 1 to 10.
SO we have to identify the following regarding the survey :
a. identifying the population
-- all the readers of the PC magazine
b. identifying the parameters of the interests
-- the population mean that rated the digital camera
c. identifying the sampling frame
--- all the readers
d. identifying the sample size
-- unknown
e. identifying the sampling design
-- voluntary response
fill out the missing angle measures until you find x
Answer: I think 131
Step-by-step explanation: