Using a system of equations, it is found that the earnings of Mohammed are given by: 18,212 aed.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Earnings of Ahmed.Variable y: Earnings of Bekhit.Variable z: Earnings of Saeed.Variable w: Earnings of Mohammed.The earnings of ahmed and bekhit are in the ratio 3:7, hence:
[tex]\frac{x}{y} = \frac{3}{7}[/tex]
[tex]3y = 7x[/tex]
[tex]y = \frac{7x}{3}[/tex]
That of bekhit and saeed is 4:9, hence:
[tex]\frac{y}{z} = \frac{4}{9}[/tex]
[tex]4z = 9y[/tex]
[tex]z = \frac{9y}{4}[/tex]
[tex]z = \frac{63x}{12}[/tex]
The ratio of mohammed and saeed is 7:6, hence:
[tex]\frac{z}{w} = \frac{7}{6}[/tex]
[tex]7w = 6z[/tex]
[tex]w = \frac{6z}{7}[/tex]
[tex]w = \frac{378x}{84}[/tex]
The sum is of 52950, hence:
[tex]x + y + z + w = 52950[/tex]
[tex]x + \frac{7x}{3} + \frac{63x}{12} + \frac{378x}{84} = 52950[/tex]
[tex]1099x = 52950 \times 84[/tex]
[tex]x = \frac{52950 \times 84}{1099}[/tex]
[tex]x = 4047[/tex]
Hence, Mohammed earnings in aed are given as follows:
[tex]w = \frac{378 \times 4047}{84} = 18212[/tex]
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You owe 3 of your friends $15 dollars each. Before you pay your friends back, you
have $52. How much money do you have after paying your friends back?
Answer:
$7
Step-by-step explanation:
Since you have to pay 3 of your friends $15 each, you would multiply 15 by 3 and get 45. Then you would subtract that from 52 and you would get $7.
Probability and statistics please help me out
Answer:
first option
Step-by-step explanation:
1/7
I hope this is correct...
Can someone answer question 1-6
Answer:
Equation- a statement of the equality of two mathematical expressions Ex: 4 + 2 = 3 + 3Table of value- a set of ordered pairs usually resulting from substituting numbers into an equation (relation)Set of coordinate points- a set of numbers that show an exact point on a graph Ex: (2, -6)Graph- the collection of all points whose coordinates satisfy a given relationPattern- a repeated design of things like; numbers, shapes, colors, etc Ex: O $ X O $ X O $ XWord description- give a verbal description of its elements.Step-by-step explanation:
Hope I did it right, tell me if its wrong.
AMSWER ASAP PLEASE PLEASE PLEASE
Answer:
(2,14)
Step-by-step explanation:
so i solved this with substitution but there are other methods to solve this!
equation 1 : y = -x + 16
equation 2 : y = x + 12
solve for y in equation 1 !!
y = -x + 16
(add x on both sides)
y + x = 16
(subtract y on both sides)
x = -y + 16
equation 1 now equals : x = -y + 16
substitute equation 1 into equation 2 :)
y = (-y + 16) + 12
(add 16 + 12)
y = -y + 28
(add y on both sides)
2y = 28
(divide 2 on both sides)
y = 14
now to solve for x you can insert y !
you can use equation 1 or equation 2 to solve for x.
i'm using equation 2 :
y = x + 12
(14) = x + 12
(subtract 12 on both sides)
x = 2
therefore, the answer is (2, 14).
hope this helps :p
The inverse of f(x)= 2x + 3 is written:
Answer:
It should be x-3/2 (also written as "(x-3)÷2")
Step-by-step explanation:
y=2x+3
switch the y and x
x=2y+3
solve for y
x/2=y+3
x-3/2=y
If you graph these two functions you will see that y=2x+3 give the points (-1.5,0) and (0,3) and x-3/2 give (0,-1.5) and (3,0). because you've switched the x number to the y number you've "inversed" it
In 1997 the U.S. population was approxiamately 266,667,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were inthe system
Answer:
Around 1.2 million
Step-by-step explanation:
If we multiply 266,667,000 by 440/100,000 we get about 1,173,334 which we can round to about 1.2 million
X^2-6x+5=0 solve with quadratic formula
Answer: x1 = 5
x2 = 1
Step-by-step explanation:
1. Identify the coefficients
2. Move the constant to the right side of the equation and combine
3. Complete the square
4. Solve for x
Answer:
x = 5 and 1
Step-by-step explanation:
[tex]x^2-6x+5=0\\x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}\\x_{1,\:2}=\frac{-\left(-6\right)\pm \:4}{2\cdot \:1}\\\rightarrow x_1=\frac{-\left(-6\right)+4}{2\cdot \:1},\:x_2=\frac{-\left(-6\right)-4}{2\cdot \:1}\\\\\frac{-\left(-6\right)+4}{2\cdot \:1}\\\\=\frac{6+4}{2\cdot \:1}\\\\=\frac{10}{2\cdot \:1}\\\\=\frac{10}{2}\\\\=5\\\\\\\frac{-\left(-6\right)-4}{2\cdot \:1}\\\\=\frac{6-4}{2\cdot \:1}\\\\=\frac{2}{2\cdot \:1}\\\\=\frac{2}{2}\\\\=1[/tex]
caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe. Two caps are drawn wothout replacement from the wardrobe. What is the probability that both of the caps are blue?
Answer:
18/95
Step-by-step explanation:
What is probability?
Probability is simply the chances of something occuring.
As a formula, I like to say that formula = # of favorable outcomes / total # of outcomes
Where favorable outcomes is what we want to happen and total # of outcomes is the total number of possibilities.
In order to find the probability of the occurrence of something in a row, we multiply the individual probabilities of each action
Understanding the question
Here we are given that caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe and given this we want to find the probability of Caleb randomly selecting 2 blue caps without replacing it the first being drawn.
So here # of favorable outcomes = # of blue caps = 9
and
total number of outcomes = total # of caps = 7 + 4 + 9 = 20
Finding the probability
For first draw
First let's find the probability that caleb will select a blue cap the first time.
We know that probability = # of favorable outcomes / total # of outcomes
We also know that # of favorable outcomes = 9 and total # of outcomes = 20
Plugging this in, we get that the probability of Caleb randomly selecting a blue cap on the first draw is 9/20
For second draw
Because it says that caleb will not replace the cap when drawn it's important to subtract 1 from both the # of caps and # of blue caps
This results us in having # of favorable outcomes as 8 and total # of outcomes as 19
Plugging this in we get that the probability of Caleb drawing a blue cap the second time is 8/19
Finally to find the total probability of him selecting two blue caps in a row without replacing the first cap, we multiply the individual probabilities
From doing so we acquire 9/20 * 8/19 = 18/95
Answer:
18/95
Step-by-step explanation:
Probability Formula :
Probability (Event) = Number of outcomes with Event / Total outcomes
=============================================================
Given :
⇒ 7 black caps
⇒ 4 yellow caps
⇒ 9 blue caps
===========================================================
Solving :
P (1st cap is blue) :
⇒ Number of blue caps / Total caps
⇒ 9 / 7 + 4 + 9
⇒ 9/20
It mentions the cap is not replaced. Hence, when taking the probability of the 2nd cap, subtract a blue cap from the number of blue caps and the total.
P (2nd cap is blue) :
⇒ Number of blue caps - 1 / Total caps - 1
⇒ 9 - 1 / 20 - 1
⇒ 8/19
P (both caps are blue) :
⇒ P (1st cap blue) × P (2nd cap blue)
⇒ 9/20 × 8/19
⇒ 9/5 × 2/19
⇒ 18/95
Solve the inequality
x² + 6x + 8 <0
Answer:
look above
Step-by-step explanation:
hope it hepls
Simplify 4 + (-3) - 2 times (-6)
Step-by-step explanation:
[tex] = 4 + ( - 3) - 2 ( - 6)[/tex]
here ( + ) × ( - ) = ( - )
[tex] = 4 - 3 + 12[/tex]
[tex] = 4 + 12 - 3[/tex]
[tex] = 16 - 3[/tex]
[tex] = 13[/tex]
The correct result of this simplification is 13
To solve this question, we'll just apply the rule of signs - and then we'll calculate the operations.
- In the sign rule - when both signs are equal, the result will be positive. If the signs are different, the result is negative.
- ( - ) = ++ ( + ) = +- ( + ) = -+ ( - ) = -Resolution4 + ( - 3 ) - 2 · ( - 6 )
4 - 3 - ( - 12 )
4 - 3 + 12
1 + 12
13
Therefore, the alternative value will be 13
If x=-3 and 2x+5y=-1 what is the value of y?
Answer:
y=1
Step-by-step explanation:
Start by plugging in -3 for x in the equation 2x+5y=-1 then solve for y.
2(-3)+5y=-1
-6+5y=-1 (add 6 to both sides)
5y=5 (divide both sides by 5)
y=1
help mee answer the question
..............................................
the ratio of the similar rectangular prisms is 8 to 10 and the surface area of the smaller solid is 112 cm cubed. what is the surface area of the larger solid??
Answer:
140
Step-by-step explanation:
10/8 = 1.25
1.25 * 112 = 140
Hi if you can give me a clear explanation that would be great! :)
1) segment ab has endpoints a(-3,1) and b(2,-6). suppose that point b is translated to b (-1,-8)
-how far away is point b from point a?
-how far did point b move to get to point b?
The distance of point a from translated b is 9.2 units and the distance of point b from translated b is 3.6 units
What is a line?A line is the distance between two points.
Analysis:
point a( -3,1) point b(2, -6) point translated b(-1, -8)
Distance ab = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
Distance ab = [tex]\sqrt{(-1--3)^{2} + (-8-1)^{2} }[/tex] = 9.21 units
Distance btb = [tex]\sqrt{(-1-2)^{2} + (-8- -6)^{2} }[/tex] = 3.6 units
In conclusion, the distance of b from a is 9.2 units and b from b is 3.6 units.
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An arithmetic sequence has this recursive formula:
{ A1=5
{An= An-1-4
What is the explicit formula for this sequence?
A. an= (-1) + (n - 5)(-4)
B. an=5+ (n − 1)(-4)
C. an= 5+ (n-4)(-1)
D. an= (-4) + (n − 1)5
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is B.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given A₁=5 and An= A₍ₙ₋₁₎-4, therefore we can write,
aₙ = a₁ + (n-1)d
Aₙ= 5+(n-1)(-4)
Hence, the correct option is B.
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Select the type of equations.
consistent
equivalent
Inconsistent
The type of equation is (a) consistent equations
How to determine the type of equation?The attached figure completes the question
From the graph, we can see that the two lines are not parallel and they do not represent the same line
This means that the lines are consistent
Consistent lines produce consistent equations
Hence, the type of equation is (a) consistent equations
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(08.05 LC)The histogram shows the number of prizes won by different numbers of students at a sports competition. Which of the following statements is correct regarding the number of students and the number of prizes won? A histogram titled Prizes Won is shown. The horizontal axis is labeled Number of Prizes with bins 0 to 3, 4 to 7, 8 to 11, and 12 to 15. The vertical axis labeled Students with values from 0 to 10 at intervals of 1. The first bin goes to 3, the second goes to 6, the third goes to 1, and the last goes to 9.
Answer:
It is C.
Step-by-step explanation:
First thing you would do is go through all the information and read the options then what you would do is see the labels and its will try to throw you off at A. saying that its Prizes instead of students that has won the prizes so there for
C. Six prizes were won by 4, 5, 6, or 7 students.
is your answer
Factor 60-36w60−36w60, minus, 36, w to identify the equivalent expressions.
Answer: 60( 1 - 72)
Step-by-step explanation: i think it might be right so heres a proof
What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?
Using the arrangements formula, it is found that 907,200 arrangements can be formed using the letters in the word FORGETTING.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
When there are repeating elements, with the number of times given by [tex]n_1, n_2, \cdots, n_n[/tex], the number of arrangements is given by:
[tex]A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}[/tex]
In this problem, the word FORGETTING has 10 letters, of which G and T repeat twice, hence the number of arrangements is given by:
[tex]A_{10}^{2,2} = \frac{10!}{2!2!} = 907,200[/tex]
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Susan and five of her friends enjoyed dinner at her favorite restaurant. They
split the bill evenly among themselves, and each person paid $11.75. How
much was the total bill?
$= 0.1
Answer here
The figure shows two identical metal bars are different temperatures. What is the
coefficient of linear expansion for the metal from which the bars are made?
(A) 1.6 × 10 (*C).¹
(B) 1.4 x 10
(*C)-¹
L₁ - 1.000 m
42-1.001 m
(C) 1.2 x 10-5 (°C)-¹
(D) 1.1 x 10 (C)-¹
T₁=0.0°C
T₂-70.0°C
ut.
luce
The coefficient of thermal expansion of the metal will be 1.4 x 10⁻⁵ °c.
What is thermal expansion?Every material has its property of contraction or expansion by the change of temperature. The expansion and contraction of any material are indicated by a coefficient this coefficient is called the coefficient of thermal expansion.
Here we have the following data:-
l₁= 1.000 m
l₂ = 1.001 m
Δ = 70° C
The formula for calculating the coefficient of linear expansion will be:-
[tex]\alpha =\dfrac{\Delta l}{\Delta t\times l}[/tex]
By putting the values we will get the answer.
[tex]\alpha=\dfrac{0.0001}{70\times 1}= 1.4\times 10^{-5}[/tex]
Therefore the coefficient of thermal expansion of the metal will be 1.4 x 10⁻⁵ °c.
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Find the value of each variable.
Please help
Step-by-step explanation:
a is the interior angle of the 2 opposing arc angles. the interior angle is the mean value between the 2 arc angles.
a = (145 + 45)/2 = 190/2 = 95°
b is the simply the supplementary angle to a (meaning together they are 180°, because the sum of all angles around a single point on one side of a line is 180°).
b = 180 - 95 = 85°
Write a rule to describe the transformation
8. Which of these is the primary reason for the extinction of a species?
loss of habitat
overhunting
O pollution
Osudden environmental changes
Answer:
my bet would be d)
Step-by-step explanation:
ur asking math students btw
True or False?
A square can be similar to a triangle since a square is composed of two triangles.
When Ronald goes to BIG Burgers, he orders a sandwich and a side order. For the
Answer:
true is the answer not hard question
the length of nicks garden is equal to its width. Nick is going to enlarge his garden by making each side 20% longer.How much will the area of the garden increase
Answer:
44%
Step-by-step explanation:
Existing garden: L*W, where L and W are the length and width (We'll assume meters, but it can be any other linear measurement, such as miles, cm, or feet, etc.).
Area, A1 = L*W
New Area, A2 = (1.2L)*(1.2W)
A2 = (1.2)*(1.2)*(L*W)
Since L*W = A1, we can write A2 = 1.44*A1
New Area = 1.44 the original area, a 44% increase.
What is the value of x in the figure below?
Let's see
[tex]\\ \rm\dashrightarrow \dfrac{9}{x}=\dfrac{24}{12}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{9}{x}=2[/tex]
[tex]\\ \rm\dashrightarrow x=\dfrac{9}{2}[/tex]
[tex]\\ \rm\dashrightarrow x=4.5[/tex]
Which of these is not a possible r-value?
A. 1.2
B. -0.1
OC. 0.5
D. -0.75
Answer:
A) 1.2
Step-by-step explanation:
R can never be greater than 1
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What does x= please help
The value of x is 8
This question is a proportion. To solve it, let's assemble it as follows:5 = 4
10 x
Now, just multiply in the form of a cross. Then, let's split the terms:5 . x = 10 . 4
5x = 40
x = 40 ÷ 5
x = 8
So, the result of x will be 8
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction.
Which statement describes the shape of the barrier?
A.
a circle with a radius of 5 feet
B.
a square with diagonals 5 feet long
C.
a circle with a diameter of 5 feet
D.
a square with sides 5 feet long
The shape of the barrier is a a circle with a diameter of 5 feet.
What is a circle?
A circle is a bounded figure which points from its center to its circumference is equidistant. The diameter of a circle is a straight line that passes through the center of the circle and touches two points on the circumference of the circle.
If all points from the flower is 2.5 feet, it means that the barrier has the shape of a circle.
Diameter = radius x 2
2.5 x 2 = 5 feet
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