Answer:
120
Step-by-step explanation:
The computation of the other integer is shown below:
The Factor of 48 is 2^4 × 3
Also the greatest common divisor is 24,
This results that the second number also contains the factors 2^3 and 3 but not a fourth 2.
Now when there is a division of 240 by 48 so the number comes is 5
Now the second number factors are 2^3 and 3 that represents that it is under the factors of 48 but the factor 5 would arise from the second number
So, the other number is 120
Answer:
120
Step-by-step explanation:
If you want the aops explanation:
The prime factorization of 48 is $2^4\cdot3$. Since the greatest common factor is 24, that means the other number also has the factors $2^3$ and 3 but not a fourth 2. When we divide 240 by 48, we get 5. The factors $2^3$ and 3 of the other number are covered by the factors of 48, but the factor 5 must come from the other number. So, the other number is $2^3\cdot3\cdot5=\boxed{120}$.
I’ll give you 20 points if you help me please
Answer:
f(g(x)) = 2x - 5
Step-by-step explanation:
If f(x) = 2x + 1 and g(x) = x - 3
Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)
f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5
Answer:
[tex]\huge \boxed{f(g(x))=2x+-5}[/tex]
Step-by-step explanation:
The functions are given,
[tex]f(x)=2x+1[/tex]
[tex]g(x)=x-3[/tex]
To find [tex]f(g(x))[/tex], the input for the function f of x will be g of x.
[tex]f(g(x))=2(x-3)+1[/tex]
Expand brackets.
[tex]f(g(x))=2x-6+1[/tex]
Combine like terms.
[tex]f(g(x))=2x-5[/tex]
(20 POINTS!) If the point (x, y) is on the y-axis, which of the following must be true? x = 0 or y = 0
Answer:
x = 0
Step-by-step explanation:
because the x coords are still 0 and y is changing.
10+(-3)
What is the answer and how u get the answer?
Answer:
7
Step-by-step explanation:
This is so because (+) × (-) is (-).
Just like (+) × (+) is (+) and (-) × (-) is (-).
So 10 + (-3) = 10 - 3 = 7.
Answer:
[tex]7[/tex]
Step-by-step explanation:
[tex]10 + ( - 3) \\ \\ (+) \: \times \: (- )= (- ) \\ so \: 10 - 3 \\ = 7[/tex]
let x and y be numbers, y ≠ 0 and let n be a positive integer. How is (x/y)^n related to x^n and y^n?
Answer:X∧N and Y ∧N share a variable
Step-by-step explanation: X∧N
Y∧N
they have the last same variable
At a baseball game, hot dogs cost $2.25 and drinks cost $1.75. The total cost, t, for h hot dogs and drinks can be described by the equation.
T=2.25h+1.75d
•a. Rewrite the equation to find d.
•b. Which properties allow you to isolate d?
•c. If Costas spent $18.25 and bought 5 hot dogs, how many drinks did he buy?
Answer:
The answer is below
Step-by-step explanation:
a) T=2.25h+1.75d
To rewrite the equation to find d, we have to make d the subject of the formula.
T=2.25h+1.75d
Subtract 2.25h from both sides:
T - 2.25h = 2.25h + 1.75d - 2.25h
1.75d = T - 2.25h
Divide both sides by 1.75
1.75d/1.75 = (T - 2.25h) / 1.75
d = (T - 2.25h) / 1.75
b) Additive property and law of division
c) The money spent (T) = $18.25 and the number of hot dogs (h) = 5. To get the number of drinks, substitute the value of h and T in the equation d = (T - 2.25h) / 1.75. Hence:
d = (T - 2.25h) / 1.75
d = (18.25 - 2.25(5)) / 1.75
d = (18.25 - 11.25) / 1.75 = 7 / 1.75
d = 4
The number of drinks that can be bought is 4
please help :) Choose the number that is larger than: 1.11 x 10 to the 12 power A. 90,000,000,000 B. 5.66 x 10 to the 11th power C. 1.01 x 10 to the 13th power D. 1.01 x 10 to the 12 power
Answer:
First we need to find the value of 1.11 * 10^12.
We need to solve the exponent first.
10^12 = 1000000000000
Next, we will multiply this by 1.11.
1,000,000,000,000 * 1.11 = 1,110,000,000,000
The value of 1.11*10^12 is equal to 1,110,000,000,000.
We can immediately rule out a), 90,000,000,000 as an answer. We can easily tell that out solution is greater than this answer.
Now we will find the value of option b).
5.66 * 10^11.
We need to solve the exponent first.
10^11 = 100000000000
Next, we will multiply this by 5.66.
100,000,000,000 * 5.66 = 566,000,000,000
This number is not greater than our solution to 1.11 * 10^12. Therefore, option b) is not your answer.
Now we will find the value of option c).
1.01 * 10^13.
We need to solve the exponent first.
10^13 = 10,000,000,000,000
Next, we will multiply this by 1.01.
10,000,000,000,000 * 1.01 = 10,100,000,000,000
This number is greater than our solution to 1.11 * 10^12. Therefore, option c) is your answer.
Hope this helps!
Step-by-step explanation:
Option C. 1.01×10¹³ which is 1010×10¹⁰ is larger than 111×10¹⁰.
How to compare numbers ?Write all the given numbers in same powers of 10 and then compare the base.larger base is the larger number.
According to the given question we have to choose the correct option for a numbers which is larger than 1.11×10¹².
We know 10¹² has 12 zeroes after 1.
In option a 90,000,000,000 it has 10 zeroes so it can be written as 9×10¹⁰
and 1.11×10¹² can be written as 111×10¹⁰ so option A is smaller.
looking at option B. which is 5.66×10¹¹ this can also be written as 56.6×10¹⁰.
Which is gain smaller than 111×10¹⁰.
Option C. which is 1.01×10¹³ which can be written as 1010×10¹⁰ which is larger than 111×10¹⁰.
learn more about scientific form here :
https://brainly.com/question/142095
#SPJ2
weight to the nearest pound of 17 cats:10, 15, 9, 8, 11, 10, 9, 8, 13, 9, 12, 10, 13, 11, 9, 12, 10
Answer:
Step-by-step explanation:
+ si
Does anyone know this
5(5x+3) -4(2x-9)=0
pls help
Answer:
x = -3
Step-by-step explanation:
See steps of solution:
5(5x+3) -4(2x-9)=0 ⇒ parenthesis25x + 15 - 8x + 36 = 0(25x -8x) + (15 + 36) = 0 ⇒ grouping like terms17x +51 = 017x = -51 ⇒ subtract 51 from both sidesx = -51/17 ⇒ divide both sides by 17x = -3 ⇒ answerAnswer is -3
Answer:
x = -3
Step-by-step explanation:
5(5x+3) - 4(2x-9) = 0 Multiply out.
5*5x + 5*3 - 4*2x + 36 = 0
25x + 15 - 8x + 36 = 0 Combine like terms.
25x - 8x + 15 + 36 = 0
17x + 51 = 0 Subtract 51 from both sides.
17x = - 51 Divide each side by 17.
17x/17 = -51/17
x = - 3
Cos 3 A + COS5A + COS7A+ Cos 15 A = 4 COS 4A COS5A COS6A
Your question has been heard loud and clear.
Lhs = 2cos[5A+3A/2]cos[5A-3A/2]+2cos[15A+7A/2]cos[15A-7A/2]
=2cos4AcosA+2cos11Acos4A
=2cos4A[cosA+cos11A]
=2cos4A[2cos[11A+A/2]Cos[11A-A/2]
=2cos4A2cos5Acos6A
=4cos4Acos5Acos6A=Rhs
Thank you
Find the the domain codomain and range of the graph
Answer:
Domain: All Real numbers
CoDomain : All Real numbers
Range: [tex]\left\{y|y\geq 0 \right\}[/tex]; that is: Real numbers larger than or equal to zero
Step-by-step explanation:
Notice that the graphed function can use any Real number x (from - infinity to + infinity) and produce an output. Therefore, the Domain of the function plotted in graph 3 is : All Real numbers.
The set of possible outputs (CoDomain) is also the set of all Real numbers (notice that the y-axis extends form - infinity to + infinity
But the Range (the actual set of the collection of outputs of the function) is just a subset of the CoDomain consisting of the Real numbers larger than or equal to zero (notice that the drawing of the function touches the x axis and lies completely on the upper half of the plane.
How might constructions prove to be useful in your life?
Step-by-step explanation:
Constructions are useful in life. From learning it, you are able to use the required tools, and get familiarized with different shapes and angles. This would help you prepare for the task of proving theorems that involved those shapes and angles. It is not the end, ultimately, it prepares you for real life. Constructions are applied in building houses, estates, etc, and constructions of roads, bridges, etc.
Simplify the expression where possible. (r^3)^ -2
Answer:
Step-by-step explanation:
We apply the properties of the power.
[tex]\left(r^3 \right)^{-2}=r^{3*(-2)}=r^{-6}=\dfrac{1}{r^6}[/tex]
Answer:
r^-6 OR 1 / (r^6)
Step-by-step explanation:
For this expression, we can use exponential power rules to simplify.
Power to a power, you multiply the exponents.
So, (r^3)^-2 == r^-6
We can use the fact that negative exponents will be the base to the power in the denominator.
r^-6 == 1/(r^6)
Cheers.
An underwater canyon begins at 40 feet below sea level and is 105 feet deep. what is the elevation of the bottom of the canyon
Answer:
145 feet
Step-by-step explanation:
The computation of the elevation of the bottom of the canyon is shown below;
Given that
A = sea level
B = The point at which the canyon starts
C = Canyon bottom
AB = 40 feet
BC = 105 feet
Based on the above information
The AC or elevation of the canyon bottom is
AC = AB + BC
= 40 feet + 105 feet
= 145 feet
prove that the points (2,-2),(-2,1) and (5,2) are the vertices of a right angled triangle. also find the area of this triangle
Answer:
1st use distance formula for each side of the triangle
then use PT for checking if they are equal then u will get it as equal
then use area of triangle formula u will get the ans explanation:
Express the interval shown on the number line in inequality notation.
==============================================
Explanation:
The left endpoint is -2. The right endpoint is 10. Both endpoints are open holes, meaning we do not include them as part of the green shaded solution region. If x is a solution, then the solution can be described as [tex]-2 < x < 10[/tex] which converts to the interval notation [tex](-2, 10)[/tex]. The curved parenthesis says "do not include the endpoint".
Note: this is not ordered pair notation (x,y). Unfortunately math tends to reuse symbols so it might be a bit confusing at first.
Gerardo compró un servicio de limpieza para su negocio que le cobra $300 por cada uno de los dos primeros servicios y $150 por servicio adicional. Esta vez Gerardo ha requerido 5 servicios en total, por lo que se ha hecho acreedor a una promoción de $100 de descuento, ¿cuánto pagará Gerardo en total por sus servicios?
Answer:
CT= $950
Step-by-step explanation:
Dado la siguiente información:
Servicio= $300 primeros dos
Servicio adicional= $150
Descuento= $100
Para calculate el costo total, tenemos que usar la siguiente formula:
CT= 300x + 150y - 100
x= costo normal
y= costo promocional
CT= 300*2 + 150*3 - 100
CT= $950
how to find the surface area and the volume of trapezoidal prisms? (need some formula)
Step-by-step explanation:
Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2
Area of a trapezoid is found with the formula, A=(a+b)/2 x h.
Answer:
To find the surface area, the amount of space on the outside of a solid, of a trapezoidal prism, you'll need to find the area of the trapezoid base and multiply it by two. You'll then add the area of the four rectangles to the area of the two bases. Formula for Volume of a Trapezoidal Prism. If the prism length is L,trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2.
The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people in the year 2000. To the nearest tenth of a present, by which percentage rate is the population expected to increase each year
Answer:
2.2%
Step-by-step explanation:
Given the following :
Population in year 2000 (A) = 4.2 million
Expected population every 32 years = 2 *A
The growth rate per year =?
The population figure after 32 years = (2 * 4.2 million) = 8.4 million
Using the exponential growth formula :
P(t) = A × (1 + r)^t
(1 + r) = g = Total growth percent
A = Initial population
t = time
P(t) = 8.4 million
8,400,000 = 4,200,000 × g^32
g^32 = (8400000/4200000)
g^32 = 2
Taking the root of 32 on both sides
g = 1.02189714865
g = (1 + r)
1.02189714865 = 1 + r
r = 1.02189714865 - 1
r = 0.02189714865
.rate = 0.02189714865 * 100
= 2.18971486541%
= 2.2% ( nearest tenth)
What is the slope of the line represented by the equation y = 4/5x- 3?
-3
-4/5
4/5
3
Answer:
m= 4/5
Step-by-step explanation:
The equation of the line is in slope-intercept form.
y=mx+b
where m is the slope and b is the y-intercept.
Basically, the number that is being multiplied by x is the slope, and the number added or subtracted from that is the y-intercept.
We are given the equation:
y= 4/5x -3
4/5 is the coefficient of x. 3 is being subtracted from 4/5x.
Therefore, the slope of the line is 4/5 and the y-intercept is -3.
The question asks us to find the slope of the line, so the answer is 4/5.
The slope of the line represented by the equation y = 4x/5 - 3 is 4/5.
Given that an equation y = 4x/5 - 3 we need to find the slope of the equation.
In the slope-intercept form of a linear equation (y = mx + b), "m" represents the slope of the line.
The slope determines how steep or shallow the line is. It also tells us the rate at which the line is rising or falling as we move along the x-axis.
In the given equation, the coefficient of "x" is 4/5. This is the slope of the line.
To understand this better, compare the equation with the slope-intercept form: y = mx + b.
In the given equation, m (the slope) is 4/5. It means that for every 1 unit increase in the x-coordinate, the y-coordinate increases by 4/5 (or decreases by 4/5 if the slope were negative).
So, the line rises (or falls) at a rate of 4/5 for every unit increase along the x-axis.
In this case, since the slope is positive, the line will rise as we move from left to right on the coordinate plane.
Graphically, the line with a slope of 4/5 would look like a rising line, making an angle with the positive x-axis, and moving upwards from left to right.
So, the slope of the line represented by the equation y = (4/5)x - 3 is 4/5.
Learn more about linear equation click;
https://brainly.com/question/32634451
#SPJ6
A={a,b,c,d} B={p,q,r,s} find the value of A-B and B-A
Answer:
A-B= (a,b,c,d)-(p,q,r,s)
=( )
B-A =(p,q,r,s)-(a,b,c,d)
( )
Answer:
A - B = { a , b , c , d }B - A = { p , q , r , s }Step-by-step explanation:
Given,
A = { a , b , c , d }
B = { p , q , r , s }
Let's find the difference of two set A and B :
A - B = { a , b , c , d } - { p , q , r , s }
The difference of two sets A and B is denoted by A - B and defined as the set of all the elements of A only which are not in B.
⇒A - B = { a , b , c , d }
Now, let's find the difference of two sets B and A
B - A = { p , q , r , s } - { a , b , c , d }
Similarly, The difference of two sets B and A is denoted by B - A and defined as the set of the all elements of set B only which are not in A.
⇒ B - A = { p , q , r , s }
Hope I helped!
Best regards!!
WILL GIVE BRAINLIEST
In the following graph, ∆ABC is congruent to ∆A’B’C’. A teacher asks Janine to state the translation rule for this transformation. She focuses on point C’ and states that “the translation rule is
(x,y)→(x-2, y-6).
In other words, to shift from the blue to the red triangle, you must shift each point two units to the left and six units down. Janine made an error.
Explain how to correct her rule by either using transformation notation showing each step or explain using 2-3 sentences.
Answer:
Given that the triangle with point C is the blue triangle and the triangle with the point C' is the red triangle, then to shift from the blue triangle to the red triangle, you must shift each point two units to the left and five units down, which is also T₍₋₃, ₋₅₎, by transformation notation
Step-by-step explanation:
The coordinates of the point C is (1, -1)
The coordinates of the point C' is (-2, -6)
Therefore, the translation required to shift the point C from to point C' is found as follows;
The difference between the x, and y-coordinates of the points C and C' are given as follows;
Δx, C to C' = (-2 - 1) = -3
Δy, C to C' = (-6 - (-1)) = (-6 + 1) = -5
Therefore, the the transformation from C to C' it T₍₋₃, ₋₅₎
Which can be presented as, given that the triangle with point C is the blue triangle and the triangle with the point C' is the red triangle, then to shift from the blue triangle to the red triangle, you must shift each point two units to the left and five units down.
Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirteen years?
Answer:
Patricia's account balance after thirteen years is $867.15.
Step-by-step explanation:
It is given that,
Principal on deposited amount is $612.40
Rate is 3.2%
We need to find Patricia's account balance after thirteen years, t = 13 years
This problem is based on the concept of simple interest. Interest is given by :
[tex]I=PRt\\\\I=612.4\times \dfrac{3.2}{100}\times 13\\\\I=\$254.75[/tex]
Net amount = $612.40 + $254.75=$867.15
Divide each polynomial by a monomial. (4x^4+2x^3+2x^2)÷10x
Answer:
2/5x³ + 1/5x² + 1/5x
Step-by-step explanation:
You have to divide each term in the polynomial by the monomial.
(4x⁴ + 2x³ + 2x²)/10x
2/5x³ + 1/5x² + 1/5x
The solution is, 2/5x³ + 1/5x² + 1/5x is the answer of the division.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
(4x^4+2x^3+2x^2)÷10x
now,
we have to divide each term in the polynomial by the monomial.
so, we get,
(4x⁴ + 2x³ + 2x²)/10x
=(4x⁴/ 10x + 2x³/ 10x + 2x²/ 10x )
=2/5x³ + 1/5x² + 1/5x
Hence, The solution is, 2/5x³ + 1/5x² + 1/5x is the answer of the division.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
23.
A company manufactures bracelets. The cost C (in dollars) of manufacturing n bracelets is given by the equation C = 8n + 500
The revenue R (in dollars) that is generated from selling n bracelets is given by the equation R = 35n - 0.1n?
The company breaks even when cost and revenue are equal. For which values of n does the company break even?
A. O 10 and 500
В.
25 and 200
C
20 and 250
D.
50 and 100
The values of n which the company break even are option (c) n = 20 and n = 250
How to determine the values of n at the break even point?From the question, the parameters are given as
Cost function, C(n) = 8n + 500
Revenue function, R(n) = 35n - 0.1n²
At the break even point, the functions C(n) and R(n) have the same value
This is represented as
C(n) = R(n)
Substitute the known values in the above equation
So, we have the following equation
8n+ 500 = 35n - 0.1n²
Collect the like terms
-0.1n² + 35n - 8n = 500
So, we have
-0.1n² + 27n - 500 = 0
Divide both sides by -0.1
n² - 270n + 5000 = 0
Factorize
(n -20)(n - 250) = 0
Solve for n
n - 20 = 0 and n - 250 = 0
This gives
n = 20 and n = 250
Hence, the company breaks even at n = 20 and n = 250
Read more about break even at
https://brainly.com/question/15281855
#SPJ1
for each diagram, determine whether angles 1 & 2 are adjacent angles, heeeelp please :(
Answer:
Diagram 5: Not adjacent angles
Diagram 6: Not adjacent angles
Diagram 7: Are adjacent angles
Diagram 8: Are adjacent angles
Step-by-step explanation:
In order for angles to be adjacent, they need to have all of three things:
1. Have a common vertex
2. Have a common side
3. Must not overlap
Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.
Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.
Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.
PLEASE HELP!!! offering 25 points brainiest and 5 stars with thanks
Answer:
.3
Step-by-step explanation:
P( defective) = number defective/ total
= 3/10
.3
Answer:
[tex]\huge\boxed{0.3}[/tex]
Step-by-step explanation:
Total CDs = 10
Defective CDs = 3
P(Defective) = 3/10
P(Defective) = 0.3
i need help (3/4)x+2=(3/8)x-4
Answer:
x = -16
Step-by-step explantion:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps!
(・∀・(・∀・(・∀・*)
Mr Hassan gave his year 7 class a test on Friday. The highest possible mark for the test was 10.
Answer/Step-by-step explanation:
a. From the bar graph, 1 student scored 9, 4 students scored 10.
Therefore, the no. of students who scored above 8 is: [tex] 1 + 4 = 5 [/tex]
b. From the graph, we have the following:
3 students scored 1
5 students scored 2
2 students score 4
6 students scored 5
12 students scored 8
1 student scored 9
4 students scored 10
Total no. of pupils in year 7 class = 3 + 5 + 2 + 6 + 12 + 1 + 4 = 33 students
c. It is assumed that all the students in Mr Hassan's year 7 class took the test.
Onna received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.09 per pound. After buying the coffee, she had 39.55 left on her card. How many pounds of coffee did she buy?
Answer:
She bought 5 pounds
Step-by-step explanation:
Original worth of gift card = $80
Balance on card after purchase = $39.55
Amount used for purchase = 80 - 39.55 = $40.45
Next let us determine how many pounds of coffee she bought as follows:
Price of coffee = $8.09 per pound
amount spent on coffee = $40.45
Lett the number of pounds of coffee she bought be x
$ 8.09 = 1 pound
$40.45 = x pounds
since $8.09 = 1 pound
[tex]\$\ 1 = \frac{1}{8.09}\ pounds[/tex]
[tex]\$\ 40.45 = 40.45 \times\ \frac{1}{8.09} \\= \frac{40.45}{8.09}\\ = 5\ pounds[/tex]