Answer:
$3.725
Step-by-step explanation:
1.49/ per pound
1.49× 2.5= 3.725
Sally bought 1.4 kilograms of bananas for AED 7.35 $ a kilo. How many kilograms
of apples sold at 10.20 $ per kilogram should you buy so that the kilogram of fruit
costs 8.15 $
You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.
Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.
The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:
Cost of bananas = AED 7.35 * 1.4 = AED 10.29
The total cost of apples is given by the equation:
Cost of apples = $10.20 * x
The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:
Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15
Substituting the known values, we have:
(10.29 + 10.20 * x) / (1.4 + x) = 8.15
Cross-multiplying and simplifying, we get:
10.29 + 10.20 * x = 8.15 * (1.4 + x)
Expanding the equation, we have:
10.29 + 10.20 * x = 11.41 + 8.15 * x
Rearranging the equation, we get:
10.20 * x - 8.15 * x = 11.41 - 10.29
1.05 * x = 1.12
Dividing both sides by 1.05, we find:
x = 1.12 / 1.05
x ≈ 1.067
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Evaluate(9-3)/2 plz help
Answer:
3
Step-by-step explanation:
9 - 3 = 6
\(\frac{6}{2}\)
2 goes into 6 three times therefore the answer is 3.
If this helped, brainliest would be appreciated :)
Answer:3
Step-by-step explanation:
A salesperson increases the amount of sales, in dollars,each quarter by 15%. If the salesperson has $45,000 in sales in the 1st quarter, what is the
amount of total sales by the end of the 4th quarter, to the nearest cent?
Using an exponential function, it is found that the amount of total sales by the end of the 4th quarter is of $224,671.875.
What is an exponential function?An increasing exponential function is modeled by:
\(A(t) = A(0)(1 - r)^t\)
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the parameters are r = 0.15 and A(0) = 45000.
Then:
For the first quarter, A(0) = 45000.For the second, A(1) = 45000(1.15) = 51720.For the third quarter, A(2) = 45000(1.15)² = 59512.5.For the fourth quarter, A(3) = 45000(1.15)³ = 68439.375Then, the total amount is:
T = A(0) + A(1) + A(2) + A(3) = 45000 + 51720 + 59512.5 + 68439.375 = $224,671.875.
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Write 64 % as a decimal and as a simplified fraction.
O 6.4 and 64/100
O 0.64 and 64/100
O 6400 and 6400/1
0.64 and 16/25
Answer:
b. 0.64 and 64/100
Step-by-step explanation:
hope this helps!!
Answer: B.) 0.64 and 64/100
Step-by-step explanation:
A percentage is x/100
For example, 4% = 4/100.
So 64% = 64/100
64/100 = 0.64
The distance between two towns on a
map is 6.25 cm.
The scale on the map is 1 cm = 30 miles.
What is the actual distance between the
two towns?
Answer:
Actual distance=187.5miles
Step-by-step explanation:
1cm=30miles
6.25cm=6.25*30miles
=187.5miles
The distance between the two towns using the map scale is 187.5 miles.
What is a Measurement unit?A measurement unit is a unit to measure certain quantities.
For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.
To find the measurement of a new quantity known units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Given that,
The distance between the towns on map is 1 cm.
And, the scale of map is 1 cm = 30 miles.
As per the problem the actual distance can be found by using the scale of the map as follows,
The distance between two towns is 6.25 × 30 = 187.5 miles.
Hence, the actual distance between the two towns is 187.5 miles.
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f f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)
The area of a sqaure is given by x², where x is the length of one side. Marys original garden was in the shape of a sqaure. She has decided to double the area of her garden. Enter an expression that represents the area of Marys new garden. An expression that represents the area is ?
Answer:
2x^2
Step-by-step explanation:
X^2*2= 2x^2
Big brain strat :)
please solve question in picture branoist to first and correct
Answer:
The correct answer is Option 3: 12y
Step-by-step explanation:
A polynomial term is usually made of a variable and a co-efficient.
Like terms are those terms that have the same variables i.e. x and 44x are like terms.
Given expression is:
\(6y-2y+8y\)
All the terms have only y which means that all three terms are alike.
The coefficients of like terms are added or subtracted according to their sign.
\(6y-2y+8y\) = 12y
Hence,
The correct answer is Option 3: 12y
How to do 1/4 times 48
By answering the above question, we may infer that Thus, 12 is the result equation of 1/4 times 48.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
You can multiply 1/4 by 48 using the following formula:
1/4 x 48 = (1/4) * 48
The numerator (1) is first multiplied by the integer being multiplied (48):
1 * 48 = 48
Divide the result by the denominator (4) after that:
48 / 4 = 12
Thus, 12 is the result of 1/4 times 48.
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Write this number in standard form 6,000,000+9000,000+80,000+9,000+500+80+2
Answer:
15089582 = 1.5089582 x 10^7
Step-by-step explanation:
6,000,000+9000,000+80,000+9,000+500+80+2 = 15089582
15089582 = 1.5089582 x 10^7
help me with this 4 2/7÷1 1/4
9514 1404 393
Answer:
3 3/7
Step-by-step explanation:
Invert the denominator and multiply. It can help to cancel common factors from numerator and denominator.
(4 2/7) ÷ (1 1/4) = (30/7) ÷ (5/4) = (30/7)×(4/5)
= (30×4)/(7×5) = (6×4)/7 = 24/7
= 3 3/7
Laetisaric acid is a compound that holds promise for control of fungus disease in crop plants. The accompanying data show the results of growing the fungus Pythium ultimum in various concentrations of laetisaric acid. Each growth value is the average of four radial measurements of P. ultimum colony grown in a petri dish for 24 hours; there were two petri dishes at each concentration.
Laetisaric acid X | Fungus Growth Y
0 | 33.3
0 | 31.0
3 | 29.8
3 | 27.8
6 | 28.0
6 | 29.0
10 | 25.5
10 | 23.8
20 | 18.3
20 | 15.5
30 | 11.7
30 | 10.0
Mean
11.500 | 23.642
sd
10.884 | 7.8471
v. State the slope and interpret its meaning in context.
vi. SS(resid)=16.7812. Use this to compute se.
vii. Show what needs to be calculated for a 95% prediction interval for x = 20. (fill in all the values in the equation but do not evaluate.)
r = - 0.98754
Answer:
Slope = - 0.7120
SE = 1.295
Step-by-step explanation:
Given the data:
0 | 33.3
0 | 31.0
3 | 29.8
3 | 27.8
6 | 28.0
6 | 29.0
10 | 25.5
10 | 23.8
20 | 18.3
20 | 15.5
30 | 11.7
Using the relation to Obtian the slope :
Slope, b = r(Sy/Sx)
r = correlation Coefficient ; Sy = standard deviation of Y - values ; Sx = standard deviation of X-values
r = - 0.98754
Slope, b = - 0.98754(7.8471 / 10.884) = - 0.7120
SE = √SSresidual / df
df = n - 2 = 12 - 2 = 10
SSresidual = 16.7812
SE = √(16.7812/ 10)
SE = 1.295
A person has a bag containing dimes and nickels. There are a total of 106 coins in the bag, and the total value of coins is $7.90. How many dimes and nickels are in the bag?
Answer:
52 dimes and 54 nickels
Step-by-step explanation: 52 dimes is $5.20 and 54 nickels is $2.70
Total coins 106 total $7.90
Multiple choice
1. given the figure below what is the correct name for ←2. choose all that apply
determine the maximum and minimum values of the function, at what values of x are they achieved? (without using a derivative)
\(y=\sin^3x-\sin^6x\)
The maximum and minimum values of the function is solved
Given data ,
We can find the maximum and minimum values of the function by taking the derivative of y with respect to x and setting it equal to zero.
y = (sin x)³ - (sin x)⁶
y' = 3(sin x)² cos x - 6(sin x)⁵ cos x
Setting y' equal to zero:
0 = 3(sin x)² cos x - 6(sin x)⁵ cos x
0 = 3(sin x)² cos x (1 - 2(sin x)³)
sin x = 0 or (sin x)³ = 1/2
If sin x = 0, then x = kπ for any integer k.
If (sin x)³ = 1/2, then sin x = (1/2)^(1/3) ≈ 0.866. This occurs when x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3 for any integer k.
To determine whether these values correspond to a maximum or minimum, we can use the second derivative test.
y'' = 6(sin x)³ cos² x - 15(sin x)⁴ cos² x - 9(sin x)⁴ cos x + 6(sin x)⁵ cos x
y'' = 3(sin x)³ cos x (4(sin x)² - 5(sin x)² - 3cos x + 2)
For x = kπ, y'' = 3(0)(-3cos(kπ) + 2) = 6 or -6, depending on the parity of k. This means that these points correspond to a maximum or minimum, respectively.
For x = π/3 + 2kπ/3 or x = 5π/3 + 2kπ/3, y'' = 3(1/2)^(5/3) cos x (4(1/2)^(2/3) - 5(1/2)^(1/3) - 3cos x + 2). This expression is positive for x = π/3 + 2kπ/3 and negative for x = 5π/3 + 2kπ/3, which means that the former correspond to a minimum and the latter to a maximum.
Hence , the maximum value of the function is y = 27/64, which occurs at x = 5π/3 + 2kπ/3, and the minimum value is y = -1/64, which occurs at x = π/3 + 2kπ/3
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Answer:
maximum: 0.25minimum: -2Step-by-step explanation:
You want the maximum and minimum values of the function ...
y = sin³(x) -sin⁶(x)
SolutionWhen we substitute sin³(x) = z, we have the quadratic expression ...
y = z -z² . . . . . a quadratic function
Adding and subtracting 1/4, we can put this in vertex form:
y = -(z -1/2)² +1/4
MaximumThis version of the function describes a parabola that opens downward and has a vertex at (z, y) = (1/2, 1/4). The y-value of the vertex represents the maximum value of the function.
The maximum value of y is 1/4.
MinimumThe sine function is a continuous function with a range of [-1, 1]. Then z will be a continuous function of x, with a similar range. We already know that y describes a function of z that is a parabola opening downward with a line of symmetry at z = 1/2. This means the most negative value of y will be found at z = -1 (the value of z farthest from the line of symmetry). That value of y is ...
y = (-1) -(-1)² = -1 -1 = -2
The minimum value of y is -2.
__
Additional comment
The range of y is confirmed by a graphing calculator.
<95141404393>
what is the value of k?
-3(k+7)-5k + 4 = 23
Answer:
k=-5
Step-by-step explanation:
you can use Photomath to solve problems like these
In ΔEFG, e = 690 cm, f = 650 cm and ∠G=58°. Find the length of g, to the nearest centimeter.
Answer:
651
Step-by-step explanation:
deltamath
tracen el lado que mide 12 centímetros y los arcos de circunferencia de los extremos del segmento con radio igual a la medida de otro lado y uno los extremos con el punto de intersección de los arcos para formar el Triángulo consideren El ejemplo de la derecha la medida de los tres lados permite garantizar que la reproducción es congruente al triángulo original porque
Answer:
can you translate to english
Step-by-step explanation:
I can't understand plss?
y= -5x+2 (Function rule)
The complete table using function rule y = -5x+2 is:
x y
-2 12
0 2
2 -8
4 -18
What is a function rule for a table?A function table includes a function rule as well as input and output values. If we plug in various values for the input, we obtain corresponding values of output according to the function rule. The relationship between the input values x and the output values y always follows a pattern that is specified by the function rule.Given:
Function rule, y = -5x+2.
We have to find the values of y by substituting different values of x.
When,
x = -2
y = -5(-2) + 2 = 10+2 = 12
x = 0
y = -5(0) + 2 = 0+2 = 2
x = 2
y = -5(2) + 2 = -10+2 = -8
x = 4
y = -5(4) + 2 = -20+2 = -18
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plisss helppppppppppñp
Answer:
The value of x is 37.36
Step-by-step explanation:
The given triangle is a right-angled triangle where
Base = 25
Angle = 48°
Hypotenuse = x
As the triangle is a right angled triangle, trigonometric ratios can be used to find the missing value. We can use a ratio which uses base and hypotenuse.
\(cos\ 48 = \frac{base}{hypotenuse}\\cos\ 48 = \frac{25}{x}\\0.6691 = \frac{25}{x}\\x = \frac{25}{0.6691}\\x = 37.36\)
Hence ,
The value of x is 37.36
Drag and drop the fractions to order them from least to greatest.
-4/5
-3/7
2/3
1/4
When the given fractions are ordered from the least fraction to the greatest fraction, the results would be:
-4 / 5- 3 / 71 / 42 / 3How to order fractions from least to greatest?The best way to order fractions in a list, from their least to their greatest is by converting them to decimals. This allows you to see which fractions are larger than the other.
The fractions in their decimal forms are:
- 4 5:
= -4 ÷ 5
= -0.80
- 3 / 7:
= -3 ÷ 7
= 0.43
2 / 3:
= 2 ÷ 3
= 0.67
1 / 4:
= 1 ÷ 4
= 0.25
The order would be:
-0.8, - 0.43, 0.25, 0.67
In their fraction forms this is:
= - 4/5, - 3 / 7, 1 / 4, 2 / 3
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Write an equation (-5,-2) and (-4,-3)
The equation from (-5, -2) and (-4, -3) is y = -1x - 7
What is Equation of line?
A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It can be expressed in a variety of ways and provides the line's slope, x-intercept, and y-intercept.
Given:
P1: (-5, -2)
P2: (-4, -3)
Find:
The equation for the line that passes thru P1 & P2
Solution:
y = mx + b
Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept
m = ( y2 - y1 ) / ( x2 - x1 )
= ( -3 + 2 ) / ( -4 + 5 ) )
= -1 / 1
∴ m = -1
Using either P1 or P2, plug in one of their respective x- and y-values into:
y = -1 x + b
For (-5, -2)
-2 = -1 ( -5 ) + b
-2 = 5 + b
-7 = b
∴ b = -7
∴ y = -1x - 7 is the equation of the line that passes thru both points (-5, -2) and (-4, -3)
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SOMEONE PLEASE HELPP MEE
The end-points of the line segment will be negative 1.25 and 0.25.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,
⇒ - 0.50 ± (1.50) / 2
Simplify the expression, then we have
⇒ - 0.50 ± (1.50) / 2
⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2
⇒ - 0.50 - 0.75, - 0.50 + 0.75
⇒ - 1.25, 0.25
The end-points of the line fragment will be negative 1.25 and 0.25.
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PLEASE ANSWER BEFORE 11:59 TONIGHT
1. A factory needs two raw materials. The probability of not having an adequate supply of material A is 0.05, whereas the probability of not having an adequate supply of material B is 0.03. A study determines that the probability of a shortage in both A and B is 0.01. a. Let E be the event "shortage of A" and F be the event "shortage of B". Construct a Venn diagram representing events E and F.
The Venn diagram needed based on the question is given below:
The Venn Diagram__________
/ \
/ A \
/____________\
\ /
\ E ∩ F /
\_________/
B
In the diagram, the set A represents the event of having an adequate supply of material A, and the set B represents the event of having an adequate supply of material B.
The overlap of A and B represents the event of having an adequate supply of both materials.
The set E represents the event of a shortage in material A, and the set F represents the event of a shortage in material B.
The intersection of E and F, denoted by E ∩ F, represents the event of a shortage in both materials.
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the sum of two numbers is 16 and their difference is 4. what are the two numbers? HELP! PLEASE! BRAINLIEST TO WHOEVER ANSWERS IN THE NEXT 2 MINUTES!
Answer 6 and 10
Step-by-step explanation:
Answer:
10+6 and 10-6
Step-by-step explanation:
10+6
16
10-6
4
present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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in exercise 29-34 name each quadrilateral parallelogram, rectangle, rhombus, or square for which statment is always true
A parallelogram has opposite sides parallel and equal in length. A rectangle has four right angles and opposite sides equal in length. A rhombus has opposite sides equal in length and opposite angles equal.
A parallelogram is a quadrilateral with opposite sides parallel and equal in length. In a parallelogram, the statement "Opposite sides are parallel and equal in length" is always true.
A rectangle is a parallelogram with four right angles. In a rectangle, the statement "Has four right angles" is always true.
A rhombus is a parallelogram with all sides equal in length. In a rhombus, the statement "All sides are equal in length" is always true.
A square is a rectangle with all sides equal in length. In a square, both the statement "Has four right angles" and "All sides are equal in length" are always true.
So, by looking at these properties, you can determine the type of quadrilateral for which a given statement is always true.
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The graph of Fx), shown below, resembles the graph of G(x) = x2, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
Answer:
Correct answer is:
C. \(F(x) =-x^{2} -3\)
Step-by-step explanation:
We are given a function:
\(G(x) = x^{2}\)
The graph of \(G(x)\) is also shown in the given question figure.
It is a parabola with vertex at (0,0).
Sign of \(x^{2}\) is positive, that is why the parabola opens up.
General equation of parabola is given as:
\(y = a(x-h)^2+k\)
Here, in G(x), a = 1
Vertex (h,k) is (0,0).
As seen from the question figure,
The graph of F(x) opens down that is why it will have:
Sign of \(x^{2}\) as negative. i.e. \(a = -1\)
And vertex is at (0,-3)
Putting the values of a and vertex coordinates,
Hence, the equation of parabola will become:
\(y = -1(x-0)^2+(-3)\\y = -x^2-3\)
The correct answer is:
C. \(F(x) =-x^{2} -3\)
The required equation of graph f(x) is \(y = -x^{2} -3\)
Given that,
The graph of f(x), resembles the graph of G(x) = \(x^{2}\).
We have to find,
Which of the following could be the equation of f(x).
According to the question,
Function, \(G(x) = x^{2}\),
The graph in the given question figure. It is a parabola with vertex at (0,0).
By the graph predict that Sign of \(x^{2}\) is positive, that is why the parabola opens up.
General equation of parabola is given by,
\(y = a(x-h)^{2} +k\)
Where, a = 1, and vertex (h, k) is (0,0).
The graph of F(x) unknown function opens down ,
Sign of \(x^{2}\) as negative. and the vertex is at (0,-3)
To find the equation of function f(x),
Putting the values of a and vertex coordinates,
\(y = a(x-h)^{2} +k\)
The equation of parabola become:
\(y = -1(x-0)^{2} +(-3)\\\\y = -x^{2} -3\)
Hence, The required equation of f(x) is \(y = -x^{2} -3\).
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Simplify.
1.7 -0.1a + 4.4 +1.2a
Answer:
a
Step-by-step explanation:
1.7 -0.1a +4.4 +1.2a
=1.7 +4.4 -0.1a+1.2a
=6.1 +1.1a
A family has two cars. The first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 675 miles, for a total gas consumption of 35 gallons. How many gallons were consumed by each of the two cars that week?
Step-by-step explanation:
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 1,800 miles, for a total gas consumption of 55 gallons.