Answers
Answer:
Let's define the cost of the cheaper game as X, and the cost of the pricer game as Y.
The total cost of both games is:
X + Y
We know that both games cost just above AED 80
Then:
X + Y > AED 80
From this, we want to prove that at least one of the games costed more than AED 40.
Now let's play with the possible prices of X, there are two possible cases:
X is larger than AED 40
X is equal to or smaller than AED 40.
If X is more than AED 40, then we have a game that costed more than AED 40.
If X is less than or equal to AED 40, then:
X ≥ AED 40
Now let's take the maximum value of X in this scenario, this is:
X = AED 40
Replacing this in the first inequality, we get:
X + Y > AED 80
Replacing the value of X we get:
AED 40 + Y > AED 80
Y > AED 80 - AED 40
Y > AED 40
So when X is equal or smaller than AED 40, the value of Y is larger than AED 40.
So we proven that in all the possible cases, at least one of the two games costs more than AED 40.
Related Questions
Mguel sells nsurence. He earns a 6% commision on each sell he makes. Miguel has a goal of earning $600 in commisions. Miguel needs to sell what Worth of nsurence to meet his goal.
Answers
Answer:
$10,000= sales
Step-by-step explanation:
Giving the following information:
Commission rate= 6%
Desired total earnings= $600
To calculate the sales level required to reach the objective, we need to use the following formula:
Desired earning= commission rate*sales
600= 0.06*sales
600/0.06= sales
$10,000= sales
mr. Smith took a job through an employment agency the job pay $66000 per year he must pay a fee to the employment agency the fee is 15% of his first four weeks pay how much money must Mr Smith pay the agency to the nearest cent
Answers
Answer:
761.54$
Step-by-step explanation:
Step-by-step explanation:
the answer is £761.54
if I am right plz give brainliest
Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.
Answers
Answer:
If the value of the discriminant is equal to zero
If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
What is square root?The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.
So from the condition given in the question that:-
There would NOT be both a positive and a negative solution, when finding the square root.
So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.
= √0 = ± 0 = 0
Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.
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find the area of the pentagon in the diagram below.
15 square inches
20 square inches
25 square inches
28 square inches
Answers
The area of the pentagon is approximately 15 square inches.
To find the area of the pentagon, we can use the formula for the area of a regular pentagon:
Area = (5/4) * (s²) * (1/tan(π/5)),
where "s" is the length of the side of the pentagon.
Given that the sides of the pentagon are as follows:
Two smallest sides = 2 inches,
Two largest equal sides = 4 inches,
One other equal side = 3 inches.
Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.
The pentagon can be divided into three shapes: a rectangle and two triangles.
Rectangle:
The two smallest sides (2 inches) form the length and width of the rectangle.
Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.
Triangle 1:
The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.
To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.
h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]
h² = 16 inches² - 2.25 inches²,
h² = 13.75 inches²,
h ≈ 3.7 inches.
Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Triangle 2:
The two largest equal sides (4 inches) and the other 3-inch side form another triangle.
Using the same height (3.7 inches) from Triangle 1:
Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.
Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:
Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2
Total Area = 4 square inches + 5.55 square inches + 5.55 square inches
Total Area ≈ 15.1 square inches.
Therefore, the area of the pentagon is approximately 15.1 square inches.
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El 20%de los estudiantes de un colegio que tiene 240 alumnos practican deporte ¿cuántos estudiantes practican deporte?
Answers
Answer:
20% de 240=20×240÷100= 48 practican deporte
Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been the more consistent bowler?
Answers
Answer:
Ryan is a more consistent performer
Step-by-step explanation:
The complete question is
HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.
299, 281, 285, 269, 280, 269, 286, 287
Part A: What is the mean absolute deviation of Norm Duke’s scores?
A.
7.50
B.
7.00
C.
7.25
D.
6.75
Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?
Solution
First we will find the mean deviation of Duke is 7.5
The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.
Hence, Ryan has been more consistent performer
Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done
Answers
Answer:
[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form
[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor
(c) The exponent of the simplified power is 3
Step-by-step explanation:
The original question is:
[tex]\frac{6^7}{6^4}[/tex]
Required
- Express the exponents in expanded form
- Divide common factors
We have:
[tex]\frac{6^7}{6^4}[/tex]
In indices:
[tex]x^2 = x * x[/tex]
So, the above expression becomes:
[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]
Divide the common factors, to give:
[tex]\frac{6^7}{6^4} = 6*6*6[/tex]
Express as an exponent
In indices;
[tex]x * x * x = x^3[/tex]
So, we have:
[tex]\frac{6^7}{6^4} = 6^3[/tex]
The simplified power is [tex]6^3[/tex] and 3 is the exponent
can someone plz help answer this?
Answers
Is there sufficient evidence to conclude that people react faster to a red stimulus? Use a = 0.1.
a) For di = X - Y , what does it mean for d; to be positive? (Did they react faster to the red or blue stimuli?)
b) What is the null and alternative hypothesis?
c) What is the test statistic and p-value?
d) Should we reject the null hypothesis?
Answers
Answer:
the answer is either B or C i beloeve
Question and answers are in the picture
Answers
Answer:
C
Step-by-step explanation:
A x 4pi=4piA = C^2
square root both sides and here you go
hope that answers your question
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9
Answers
Answer:
The length is 5 inches and the width is 4 inches
Step-by-step explanation:
Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36
Builders scaled image = (45 / 9) by (36 /9) = 5 by 4
The ages of the employees at Solar Systems, Inc. Is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. Are younger than 30 years old? Round your answer to the nearest tenth of a percent.
Answers
Answer:
6.7%
Step-by-step explanation:
Mean = 32.7
Standard deviation = 1.8
Percentage of employees younger Than 30 years
Obtained the Standardized age, x < 30
Z = (x - mean) / standard deviation
Z = (30 - 32.7) / 1.8
Z = - 2.7 / 1.8
Z = - 1.5
Obtain the probability :
Using a Z probability calculator or standard normal table :
P(Z < - 1.5) = 0.066807
0.066807 * 100% = 6.7%
Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?
Answers
2)always
3)never
Is yiur answer
Factor the trinomial below.
x^2+4x-12
Answers
Answer:
(x+6)(x-2)
Step-by-step explanation:
using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2
Answer:
(x+6)(x-2) A P E X :)
Please help! :D Pic is below and dont send links-
Answers
Answer:
Frogs : 7, 14, 28
Turtles : 3, 6, 12
Step-by-step explanation:
Multiply equivalently with the same multiple.
Equivalent ratios : (7 : 14) (6 : 12)
Answer:
7*2=14
14*2=28
3*2=6
6*2=12
7/3
14/6
28/12
Show all work to factor x4 – 10x^2 + 9 completely.
Answers
Answer:
(x+1)(x-1)(x+3)(x-3)
Step-by-step explanation:
it is a fourth degree trinomial
1) find two number whose sum is -10 and whose product is 9
the two numbers are -1 and -9
2) write the trinomial as a multiplication in this way
(x^2-1)(x^2-9)
3) the two factors are both a difference of tho squares.
so we can rewrite it as
(x+1)(x-1)(x+3)(x-3)
El diametro de rueda de esta bicicleta mide 80 cm. Si ha dado 10.000 vueltas, ¿cuantos kilimetros ha recorrido?
Answers
Answer:
Ha recorrido 8 km.
Step-by-step explanation:
Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:
80cm*10.000=80.000 cm
Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:
1 km → 100.000 cm
x ← 800.000 cm
x=(800.000*1)/100.000
x=8 km
De acuerdo a esto, la respuesta es que ha recorrido 8 km.
Tom spends 30% of his monthly budget on rent. His total monthly budget is 3,000 how much does Tom spend on rent?
Answers
Answer:
Total rent= $900
Step-by-step explanation:
Giving the following information:
Total monthly budget= $3,000
Percentage of rent in the budget= 30%
To calculate the monetary value paid in rent, we need to use the following formula:
Total rent= percentage of rent paid*total monthly budget
Total rent= 0.3*3,000
Total rent= $900
A boy pulls the handle of a lawn mower at an angle of 30° to the horizontal with a force
of 120N. Calculate the work done when the mower moves through a distance of 12.8m.
(3mks)
Answers
If the mower is pulled over a flat horizontal surface, then first get the component of the force in the direction of the mower's displacement:
(120 N) cos(30°) = 60 √3 N ≈ 103.923 N
Then the work done by the boy on the mower over a distance of 12.8 m is
(103.923 N) (12.8 m) ≈ 1330.2 Nm ≈ 1330 J
17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I
Answers
PLEASE HELP I really need help please heplp
Answers
Answer:
im not sure but i think its A
Step-by-step explanation:
Find the equation of the line shown
Answers
Answer:
y=x+1
Step-by-step explanation:
i hope this helps :)
Answer:
y=x+1
Step-by-step explanation:
The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1
-6x+4y=-12 in slope intercept form
Answers
First add 6x to each side
Then you get 4y=6x-12
Next divide each side by 4 to get y alone.
Then you get y= 6/4x-3.
The slope intercept form is y= 3/2 x - 3.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have the Equation as
-6x + 4y= -12
As, the slope intercept form is y= mx+ b
So, 4y= -12 + 6x
y= -12/4 + 6/4x
y = -3 + 3/2x
y= 3/2 x - 3
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what is the slope of the line?
Answers
Answer: -3/2
Step-by-step explanation:
rise / run . the line is decreasing vertically by 3 and increasing horizontally by 2.
Which statements is true about figure DEF?
(I NEED HELP PLEASE)
ITS DUE TODAY
Answers
Answer:
It's on the third at the picture
Step-by-step explanation:
hope it helps make brainlliest ty the
A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.
Answers
Answer:
b = 2a + 3
Step-by-step explanation:
Here, we want to write an expression for b in terms of a
Mathematically, the formula for the slope of a line is
m = (y2-y1)/(x2-x1)
m is 2
(x1,y1) = (-1,1)
(x2,y2) = (a,b)
Substituting these values
2 = (b-1)/(a-(-1))
2 = b-1/a + 1
2(a + 1) = b-1
2a + 2 = b- 1
2a + 2 + 1 = b
b = 2a + 3
please help find median and mean of each data display.
Answers
Answer:
median: 60
mean:44
Step-by-step explanation:
80-20=60
30+50+80+40+20=220
220÷5=44
what is 2x+4
dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
What is the vertex of y=-5(x+3)^2+5
Answers
Answer:
(-3,5)
Step-by-step explanation:
Rewrite in vertex form and use this form to find the vertex.
A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simplify your answer.
Answers
Answer:
A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is
300 cm2.
What is the height of the prism?