40 black socks should be added to the suitcase( i.e., option h )
Let's take x = black socks added by Jamal
Based on the given condition, we have
[tex]\frac{10}{10 + x}[/tex] = 1/5
Here x ≠ -10
Because to define the fraction, the denominator should not be 0.
Now we need to find the value of x,
[tex]\frac{10}{10 + x}[/tex] = 1/5
50 = 10 + x
x = 40
Therefore 40 socks should Jamal add to the suitcase.
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the girls group rented 2 canoes and 3 inner tubes for a total cost of $80. the boys group rented 1 canoe and 7 inner tubes for a total cost of $95. wh
The cost of the one canoe is $25.
According to the statement
We have to find that the cost of the one canoe.
So, For this purpose, we know that the
The cost function will be accustomed find the common cost, which is that the average amount of cash it costs to provide a unit.
From the given information:
The girls group rented 2 canoes and three inner tubes for a complete cost of $80. The boys group rented 1 canoe and seven inner tubes for a complete cost of $95.
Then
Let c is that the cost of renting a canoe and t is that the cost of renting inner tubes.
For the ladies,
2c + 3t = 80
For the boys,
c + 7t = 95
Solving the system of equations, multiply the second equation by 2 and subtract them.
2c + 3t = 80
2c + 14t = 190
11t = 110
t = 10
Now,
Substitute t to either equations,
c = 95 - 7t
c = 95 - 7(10)
c = 25
So, The cost of the one canoe is $25.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
The girls group rented 2 canoes and 3 inner tubes for a total cost of $80. The boys group rented 1 canoe and 7 inner tubes for a total cost of $95. What is the cost to rent 1 canoe?
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Word problem involving permutations
There are 3 cyclists in a race. There will be a first-place and a second-place prize awarded. In how many different ways can the 2 prizes be awarded?
Answer: 6
Step-by-step explanation: Each person can get first or second place prize.
First chance :3 people x 1st chance =3 chances
Second chance: 3 people x 2nd chance =3 chances
3+3=6 chances
Will give brainliest:
6.
The graph shows the number of acres, in millions, of farmland in the United States from 1975 to 2008 . Which statement describes the average rate of change of the graph?
From the graph, the average rate of change of the function is negative, which means that the number of farmland is decaying.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
This problem is incomplete, and the options were not found on a search engine, but from the graph, what we can see is that the graph is decaying, that is, for any interval [a,b], f(a) > f(b), hence the average rate of change of the function is negative.
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Can someone please help me with proofs
Answer:
Hi the proof steps shown in the picture are correct.
If a=-5, find the value of 2a² - 5a - 10
Answer:
= 65
Step-by-step explanation:
= 2×(-5)² - 5×(-5) - 10
= 2×25 + 25 - 10
= 50 + 15
= 65
Answer:
65
Step-by-step explanation:
Help on question one and two pls
1.5 doller = 100* $ 1.5 = 150 peniess
After 50 minutes = 20 gallons of water
Solution :
Pennies :
The dollar is the United States' 100-cent coin. It takes 100 pennies to equal a dollar
1. Girl deposit 5 pennies for each day
which means after 10 days = 50 pennies
Her sister gave her 3 pennies = 53 pennies total she has
To make the $1.50 into her piggy beg
She needs how many pinnies to do so.
1 doller = 100 pennies
1.5 doller = 100* $ 1.5 = 150 peniess
2.
Gallons :
A gallon of water by definition is 128 fluid ounces in the United States. Water bottles can vary in size, but the total number of bottles making up 128 ounces can fit in a gallon. For example, if the water bottle is 16 ounces in size, then 8 of these make up a gallon.
pool capacity = 1500 gallons of water
then
every 5 minutes = 2 gallons of water
then,
after 50 minutes = 2*10 gallons of water
= 20 gallons of water
After 50 minutes = 20 gallons of water
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T(x) = -x
P(x) = 10x + 2
What is the value of P(T(3)) - T(P(3))?
Answer:
p(-x)(3)-T(10x+2)(3)
P(-3x)-T(30x+6)
2.1−2.7 on a number line
Step-by-step explanation:
2.1
2.2
2.3
2.4
2.5
2.6
2.7
i don't know if thats what you were asking for but yea
A= 89cm root 2 square
Considering the given area of the square, it is found that it's side length is an irrational number.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks if the side length of the square of area 89 cm² is rational or irrational.
What is the formula for the area of a square?
The area of an square of side length s is given by s squared, as follows:
A = s².
In this problem, the area is of 89 cm², hence:
s² = 89.
s = sqrt(89).
The square root of 89 is a non-exact root, hence it cannot be represented by fraction and is an irrational number.
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HELP!
Can someone explain to me how to find scaled factors as simply as they can?
Answer:
The formula for scale factor is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape
To simplify the ratio just reduce it to the simplist form.
Divide each number in the ratio by the same amount to get the answer.
Step-by-step explanation:
hope this helps :)
NEED HELP ASAP look at picture
The required simplified value of the function is (f/g)(x) = (x - 3) / (x + 2). Option C is correct.
Given that,
f(x) = 2x² - 5x - 3
g(x) = 2x² + 5x + 2
(f / g)(x) = To be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here.
f(x) = 2x² - 5x - 3
f(x) = (2x + 1) (x - 3 )
g(x) = 2x² + 5x + 2
g(x) = (2x + 1)(x + 2)
(f / g)(x) = (2x + 1) (x - 3 ) / (2x + 1)(x + 2)
(f/g)(x) = (x - 3) / (x + 2)
Thus, the required simplified value of the function is (f/g)(x) = (x - 3) / (x + 2). Option C is correct.
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Answer the question in photo [ Brainliest + 20 points ]
Answer:
27 units
Step-by-step explanation:
First lets add the 2 segments on the top.
8x-11 + 14x-15
Then we can add the like terms together to get
22x-26
The equation above is equal to the equation below the number line, since we added the two on top together, so:
22x-26=19x-17
Now we can start solving
Add 26 to both sides and subtract 19 from both sides
3x=9
Now we can divide by 3
x=3
TU is 14x-15, so we can substitute in 3 for x
14*3-15
42-15
27
Answer:
27 units
Step-by-step explanation:
Set up an equation:
8x -11 + 14x -15 = 19x - 17
Combine like terms:
22x - 26 = 19x -17
Subtract 19x on both sides:
(22x - 26) - 19x = (19x - 17) - 19x
3x - 26 = -17
Add 26 on both sides to isolate the x term:
(3x - 26) + 26 = (-17) + 26
3x = 9
Then, divide by 3 on both sides to fully isolate x:
3x / 3 = 9 / 3
x = 3
Plug 3 for x into the formula for TU:
14(3) - 15 = x
42 - 15 = x
x = 27
TU = 27 units
Hope this helps!
The Segment Addition Postulate states if three points J, K, and L are collinear and J is between K and L, then....
The Segment Addition Postulate states if three points J, K, and L are collinear and J is between K and L, then KJ + JL = KL.
The segment addition postulate states that if a line segment has two endpoints, say, A and C, then a third point B will lie somewhere on the line segment AC if and only if the following equation is satisfied-
AB + BC = AC
The segment addition postulate is applicable only to a line segment, and does not apply to a ray or a line. A line segment differs from a ray or a line as it is bounded by two defined endpoints.
Here, if three points J, K, and L are collinear and J is between K and L, then as per Segment Addition Postulate-
KJ + JL = KL
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What are the angle measures of the triangle?
Answer: 30, 60, 90 triangle ==> Option 3
Step-by-step explanation:
Lets say Angle A is the angle opposing the line of a triangle that has the length of 6. Lets say Angle B is the angle opposing the line of the same triangle that has the length of [tex]6\sqrt{3}[/tex].
sin A=6/12=1/2
sin A=30 degrees.
sin B=[tex]\frac{6\sqrt{3}}{12}[/tex]=[tex]\frac{\sqrt{3}}{2}[/tex]
sin B=60 degrees.
Hence, triangle is 30, 60, 90 triangle ==> Option 3
Simplify to a single power of 2:
(2²)^4
Answer:
[tex]\sf 2^{8}[/tex]
Step-by-step explanation:
Exponent rule:[tex]\sf \boxed{(a^m)^n=a^{m*n}}[/tex]
To convert to single power, multiply the powers.
[tex]\sf (2^2)^4= 2^{2*4}[/tex]
[tex]\sf =2^8[/tex]
[tex] \bf\implies \: {2}^{8} [/tex]
Step-by-step explanation:We know that,The exponent (^) rule to solve this problem that is :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \bf \longrightarrow \: {(a^{m})}^{n} = {(a)}^{m \times n} [/tex]
According to the question :-
[tex] \bf \longrightarrow \: {(2^{2}) }^{4} [/tex]
[tex] \bf \longrightarrow \: (2)^{2 \times 4} [/tex]
[tex] \bf\longrightarrow \: {2}^{8} \: \boxed { \bf \: \red{ ans.}}[/tex]
The equation 6x − 8 = 4x represents two cars traveling in opposite directions, where x represents the distance in miles between the cars. what is the distance, in miles, between the cars? x = 0.8 x = 4 x = 8 x = 16
Distance between two cars travelling in opposite directions with the equation 6x - 8 = 4x where x is the distance in miles is equal to 4 miles.
As given in the question,
Two cars travelling in opposite directions
x represents the distance in miles
Equation :
6x - 8 = 4x
⇒ 6x - 4x = 8
⇒ 2x = 8
⇒ x = 4miles
Therefore, the distance between two cars travelling in opposite directions with the equation 6x - 8 = 4x where x is the distance in miles is equal to
4miles.
The complete question is:
The equation 6x - 8 = 4x represents two cars traveling in opposite directions, where x represents the distance in miles between the cars. what is the distance, in miles, between the cars?
A. x = 0.8miles B. x = 4miles C. x = 8miles D. x = 16miles
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Triangle ABC has vertices A(-1,1), B(2,3) and
C(-1,-4). Which composition of
transformations
point (-2,5)?
will move vertex B to the
Point(-2,5)?
A. T0,2 or y-axis
B. T-4,8 or x-axis
C. Y-axis or T0,2
D. All of these compositions
The transformation that will move vertex B (-2,3) to (-2,5) is transforming the point B up 2 units into y axis.
What is translation ?Translation in geometry means moving a figure on x-y coordinate without changing it's size and shape.We can translate a triangle with given vertices by adding or subtracting values for points(x,y)
The triangle ABC has vertices A(-1,1), B(-2,3) and C(-1,-4).
Now to transform vertex B to(-2,5) from (-2,3) we have to make a transformation of 0 units on x axis and 2 units up on y axis which is translation.
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The correct question is Triangle ABC has vertices A(-1,1), B(-2,3) and
C(-1,-4). Which composition of transformations will move vertex B to the Point(-2,5)?
Determine if 0.528176817681768176 is rational or irrational
0.528176817681768176 is a rational number as it is non terminating but repeating decimal number.
A rational number is a number that can be expressed in the form of p / q where q is not equal to 0.
It can be terminating or non terminating but repeating number.
We are given a decimal number:
0.528176817681768176
We can see that, after .52, the digits 8176 keeps on repeating itself.
So, the number can also be written as:
0.528176 ( bar on 8176)
This means that the decimal number that is given is a non terminating but repeating rational number.
Therefore, 0.528176817681768176 is a rational number as it is non terminating but repeating decimal number.
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Create a data set of 9 numbers that has a mean of 10 and a maximum of 15
Other answers are possible.
=========================================================
Explanation:
Let's say 10 is the median, and we'll have four values above it and four below. This gives 4+1+4 = 9 total items. One such example could be {6,7,8,9,10,11,12,13,14}. This is the set of whole numbers from 6 to 14 inclusive.
Due to the symmetry of that list, the mean = median = 10
The only problem is the max is 14, when we want it to be 15. We can fix this by adding 1 to each of the upper four values {11,12,13,14} to get {12,13,14,15}.
To balance things out, subtract 1 from each of the lower four values. So we go from {6,7,8,9} to {5,6,7,8}. This balancing is to keep the mean the same at 10.
Therefore, the set {6,7,8,9,10,11,12,13,14} becomes {5,6,7,8,10,12,13,14,15} which is one possible answer.
There are infinitely many other possible answers. The data set does not have to be symmetric like this.
Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42, find Julia’s age
Answer:
Julia is 15
Step-by-step explanation:
13 + 14 + 15 = 42
Julia is the oldest and 15 is the greatest of the 3 numbers
therefore Julia is 15
Julia's age out of the three is equal to 15 years.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Julia is the oldest of three siblings whose ages are consecutive integers. If the sum of their ages is 42.
Julia's age will be calculated as,
13 + 14 + 15 = 42
Julia is the oldest and 15 is the greatest of the 3 numbers.
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exit how would thirteen billion, ninety thousand, four hundred sixteen be written in standard form? a. 13,000,090,416 b. 13,090,000,416 c. 13,000,900,416 d. 13,000,009,416
The option a. 13,000,090,416 is correct standard form.
Firstly, separating the numbers and finding the number of zeroes each unit will have. As per the known fact, the number in billion contains nine zeroes. The number ninety thousand will contain four zeroes. The number four hundred will contain two zeroes.
In the given options, every 13 is succeed by nine zeroes. So, checking the number of values after digit nine. Option a has four digits, option b has seven digits, option c has 5 digits and option d has three digits. So, option a will be correct. The number 416 will be at end, and it correct in each option.
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k+1
2 =8
Find the value of k.
Answer:
The Answer is K = -4Step-by-step explanation:
First we Need to write the Equation as It is
K + 12 = 8
Then we keep the Variable which is K in the right of the equal to and move the rest to the left.
K = 8 - 12 ( Note that when moving a number to the other side, the sign will
change)
Then Do 8 - 12 or -12 + 8
The answer will come
K = -4
Hope you Are clear
Pls Mark Brainliesta rectangular mural measures 234 inches by 245 inches. rhiannon creates a new mural that is 33 inches longer what is the perimeter of the new mural
Answer: 1024 inches
Step-by-step explanation:
New Murals,
Length= 245+33 =278 inches
Width = 234 inches
Perimeter= 2*(278+234) = 1024 inches
Find the product for each of the following and write your answer in proper scientific notation.
1) (6 x 10^-8) x (4 x 10^-4)
2) (7 x 10^6) x (8 x 10^5)
3) 0.000 000 000 05 x 0.003
4) (3 x 10^-8) x (7 x 10^6)
Answer:
1. 2.4*10^-11
2. 5.6*10^12
3. 1.5*10^-13
4. 2.1*10^-1
Step-by-step explanation:
1) (6 x 10^-8) x (4 x 10^-4)=
6*4*10^-8 *10^-4=
24*10^(-8-4)=
24*10^-12=
2.4*10^1 *10^-12=2.4*10^-11
2) (7 x 10^6) x (8 x 10^5)=
7*8*10^6 *10^5=
56*10^11=
5.6*10^1 *10^11=5.6*10^12
3) 0.000 000 000 05 x 0.003=
5*10^-11 *3*10^-3=
5*3*10^-11 *10^-3=
15*10^-14=1.5*10^-13
4) (3 x 10^-8) x (7 x 10^6)=
3*7*10^-8 *10^6=
21*10^(-8+6)=
21*10^-2=2.1*10^-1
A student states that a triangle can be formed with side lengths 3 in, 5 in, and 9 in. is the student correct? why, or why not? yes, because 3 5 < 9 yes, because 3 9 > 5 no, because 3 9 > 5 no, because 3 5 < 9
A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.
A triangle is a polygon with three sides and three vertices.
To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.
let a = 3, b = 5, and c = 9
a + b > c : 3 + 5 > 9 8 > 9 False
a + c > b : 3 + 9 > 5 12 > 5 True
b + c > a : 5 + 9 > 3 14 > 3 True
If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.
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PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT
Answer:
.7456
Step-by-step explanation:
The question is asking for the area under the curve from 1 to 2 ....see diagram.....this is approx .75
Find the value of x
Answer:
or, 147-4x=180
or, 4x=180-147
or, 4x=33
or, x=33÷4
×=8.25
A rectangular park is 18 miles long and 6 miles wide. How long is a pedestrian route that runs diagonally across the park
The pedestrian route that runs diagonally across the park will be [tex]6\sqrt{10}[/tex] miles long.
Here, we are given that a rectangular park is 18 miles long and 6 miles wide.
As we know that the angles formed by any two adjacent sides of a rectangle are all 90°, the diagonal divides the rectangle into 2 right angled triangles.
One side of the right angled triangle will be 18 miles and another side will be 6 miles.
According to the Pythagoras theorem,
[tex]hypotenuse^{2} = base^{2} + height^{2}[/tex]
Here, the diagonal will be the hypotenuse as it is the side opposite the right angle.
Hence we get the following equation-
[tex]hypotenuse^{2} = 18^{2} + 6^{2}[/tex]
[tex]hypotenuse^{2}[/tex] = 324 + 36
[tex]hypotenuse^{2}[/tex] = 360
Hypotenuse = [tex]\sqrt{360}[/tex]
Hypotenuse = [tex]6\sqrt{10}[/tex]
Thus, the pedestrian route that runs diagonally across the park will be [tex]6\sqrt{10}[/tex] miles long.
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a cylindrical container must hold 2l or 2,000 cm^3 of liquid. find the dimensions of the container which will minimize the amount of material needed.
The dimensions of the container is r = 6.828 cm and h = 13.656 cm.
Volume of the Cone:
Volume of the cone is define the space or the capacity of the cone.
The formula for the volume of the cone is,
V = πr²h
Where
r represents the radius of the cone
h represents the height of the cone
Given,
Cylindrical container must hold 2l or 2,000 cm³ of liquid.
Here we need to find the dimensions of the container which will minimize the amount of material needed.
Let height = h and radius of the base = r.
We know that the volume of the container,
V = 2000
We know the formula of volume of the cone is,
V = πr²h
2000 = πr²h
Here we need the value of h,
So,
h = 2000/πr²
and surface area of the can
S = 2πr² + 2πrh
Apply the value of h,
S = 2πr² + 2πr (2000/πr²)
S = 2πr²+ (4000/r)
S = 2πr²+ 4000 x r⁻¹
S′=(−1)(4000r⁻²)+4πr
S′=4πr−(4000/r²)
Consider,
4πr−(4000/r²) = 0
4πr³−4000 = 0
πr³−1000 = 0
πr³ = 1000
r³ = 1000 / π
r = √1000 / π
r = 6.828 cm
Apply the value of r on the equation to find the value of h,
h = 2000/(π∗(6.828)²)
h = 2000/146.46
h = 13.656
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Answer all pls/ anyone u cann
Using relations in a right triangle, we have that:
1 - a) x = 54.28º.
1 - b) y = 57.794º.
1 - c) z = 31.056º.
2) The angle is of 62.8º.
3) The angle is of x = 53.017º.
4) The angle x is of 20.364º, which is greater than 17º, hence she can use the smooth tiles.
5) The angle y is of 38.37º, which is greater than 35º, hence he can go down the slide.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.For item 1a, we have that the sides, hence:
tan x = 8.9/6.4
x = arctan(8.9/6.4)
x = 54.28º.
For item 1b, we have the adjacent side and the hypotenuse, hence:
cos y = 9.7/18.2
y = cos^-1 (9.7/18.2)
y = 57.794º.
For item 1c, we have the opposite side and the hypotenuse, hence:
sin z = 6.5/12.6
z = sin^-1(6.5/12.6)
z = 31.056º.
For item 2, we have the sides, given at the graph at the end of the answer, hence:
tan x = 7.2/3.7
x = tan^-1(7.2/3.7)
x = 62.8º.
The angle is of 62.8º.
For item 3, first we find the hypotenuse of the bottom triangle, by the Pythagorean Theorem, as follows:
h² = 7.9² + 18.6²
h = sqrt(7.9² + 18.6²)
h = 20.21.
Then:
sin x = 20.21/25.3
x = sin^-1(20.21/25.3)
x = 53.017º.
For item 4, we have the adjacent side and the hypotenuse, hence:
cos(x) = 3/3.2
x = cos^-1 (3/3.2)
x = 20.364º.
The angle x is of 20.364º, which is greater than 17º, hence she can use the smooth tiles.
For item 5, we have the opposite side and the hypotenuse, hence:
sin y = 1.8/2.9
y = sin^-1 (1.8/2.9)
y = 38.37º.
The angle y is of 38.37º, which is greater than 35º, hence he can go down the slide.
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