At first, he made [tex]2\frac{5}{8}[/tex] kg of tuna filling.
Mr Abdul made tuna and curry potato filling for some puffs.
3/5 of the filling he made was tuna and the rest was curry potato.
So, amount of curry potato = 1- 3/5 = 2/5
Ratio of tuna & curry potato = tuna : curry potato
= 3/5 : 2/5 = 3 : 2
Let amount of tuna = 3x & amount of curry potato = 2x
After he used 1/8kg of the tuna filling and made another 3/4 kg of curry potato filling.
According to the question, he then had equal amounts of tuna filling and curry potato filling left.
So, 3x - 1/8 = 2x + 3/4
Multiplying 8 in both sides we get,
⇒ 24x - 1 = 16x +6
⇒ 24x - 16x = 7
⇒ 8x = 7
⇒ x = 7/8
So, 3x = (3×7/8) = 21/8 kg = [tex]2\frac{5}{8}[/tex] tuna filling at first.
Learn more about ratio here :
https://brainly.com/question/18371489
#SPJ10
HELP ASAP!
Consider right triangle DEF below.
The trigonometric relation is solved and the length of side DE is given by the relation DE = 3.8 ( tan 40° )
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔEFD
Now , the measure of side EF = 5 units
The measure of side DF = 3.8 units
And , from the trigonometric relations , we get
tan θ = opposite / adjacent
On simplifying , we get
tan 40° = DE / DF
Multiply by DF on both sides , we get
DE = 3.8 ( tan 40° )
Hence , the trigonometric relation is solved
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ7
Which function can be used to represent the graphed geometric sequence?
f(x) = 80(One-fourth) Superscript x minus 1
f(x) = 320(One-fourth) Superscript x minus 1
f(x) = 80(4)x – 1
f(x) = 320(4)x – 1
The function which is used to represent the graphed geometric sequence is
[tex]f(x) = 80{( \frac{1}{4}) }^{x - 1} [/tex]
Let a be first term and r common ratio of the Geometric progression.
The Geometric sequence is of the form a,ar,ar^2, ...
The common ratio will be ar/a.
From the graph, we can find out the sequence as 80,20,5, ...
Here we can see that the sequence is in Geometric Progression.
First term a=80
Common ratio r= ar/a
= 20/80
=1/4
General term of Geometric sequence is
[tex]f(x) = a {r}^{x - 1} [/tex]
Substituting the value a = 80 and r = 1/4,
we get,
[tex]f(x) =80 { (\frac{1}{4} )}^{x - 1} [/tex]
Hence, the correct answer is
[tex]f(x) =80 { (\frac{1}{4} )}^{x - 1} [/tex]
Learn more about Geometric sequence here:
https://brainly.com/question/24643676
#SPJ10
What is the value of y?
Enter your answer in the box.
Answer:
5
Step-by-step explanation:
As seen in the figure, we know that because ΔABC is isosceles, ∠B = ∠C, so we know that 75 = 3x, x = 15. Next, following the rule that all angles in a triangle sum to 180°, we can set up this equation and solve it:
4y + 10 + 75 + 75 = 180
4y = 180 - 160
y = 20
∴ y = 5
A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?
The profits at x = $185 is 0 and the graph is attached below:
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)
The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.
The profits reach a maximum at $140 and then the profits start to reduce as x increases again.
So, the profits at x = $185 is 0.
Learn more about this concept here:
https://brainly.com/question/16887458
#SPJ1
Answer:
a on edge
Step-by-step explanation:
I js did it
Which set of graphs can be used to find the solution set to 3e* > >-x?
The attached graph represents the solution set of [tex]3e^x > \frac 12^x[/tex]
How to determine the graph?The complete options are not given.
So, I would plot the graph that represents the solution set
The inequality is given as:
[tex]3e^x > \frac 12^x[/tex]
Start by splitting the inequalities as follows:
[tex]f(x) > 3e^x[/tex]
[tex]g(x) > \frac 12^x[/tex]
The above means that we plot the graphs of f(x) and g(x) to represent the solution set
See attachment
Read more about inequalities at:
https://brainly.com/question/25275758
#SPJ1
Find all solutions to the equation x3 + 100x + 8x2 = –800. –10, –8, 10 –10, 8, 10 8, –10i, 10i –8, –10i, 10i
All the solution of the equation x³ + 8x² + 100x + 800 = 0 will be 10i, -10i, and -8. Then the correct option is D.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The equation is given below.
x³ + 8x² + 100x = -800
x³ + 8x² + 100x + 800 = 0
Then the factor of the equation will be
x³ + 8x² + 100x + 800 = 0
x² (x + 8) + 100(x + 8) = 0
(x² + 100)(x + 8) = 0
Then all the solution of the equation will be
x = 10i, -10i, and -8.
Then the correct option is D.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ1
Answer:
d
Step-by-step explanation:
A piece of copper wire of length 200 m has a diameter of 1.2 mm.
(a) Find the volume of the wire.
(b) If the density of copper is 8.9 g/cm3, find the mass of the wire.
The volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.
Given that, the length of copper wire=200 m=200000 mm and the diameter of the copper wire=1.2 mm.
We need to find the volume of the copper wire.
What is the formula to find the volume of the cylinder?The formula to find the volume of a cylinder is πr²h.
Now, the volume of the copper wire=πr²h=[tex]\frac{22}{7} \times (0.6)^{2} \times 200000=2,26,080[/tex] mm³=226.080 cm³
If the density of copper is 8.9 g/cm³, find the mass of the wire.
We know that [tex]Density=\frac{Mass}{Volume} }[/tex].
⇒8.9 g/cm³=[tex]\frac{Mass}{226.080}[/tex]
⇒Mass=2,012.112 g/cm³
Therefore, the volume of the copper wire is 226.080 cm³ and the mass of the wire is 2,012.112 g/cm³.
To learn more about the volume of the cylinder visit:
https://brainly.com/question/16134180.
#SPJ1
find the size of unknown angle
Answer:
x° = 75
(x + 30)° = 105°
Step-by-step explanation:
supplementary angle is two angles that sum is 180°
x° + (x + 30)° = 180°
2x + 30 = 180°
2x + 30 - 30 = 180 - 30
2x = 150
2x / 2 = 150 / 2
x° = 75
plug in 75,
75 + 30 = 105
check: 75 + 105 = 180
Answer: 75 degrees
Step-by-step explanation:
Do you see how both sides of the angle come together to form the straight line seen at the bottom? This means that these are supplementary angles.
Supplementary Angles: Both sides have to add up to a total of 180 degrees.
With this, form an equation: x+(x+30)= 180
Get rid of the parenthesis:
x+x+30= 180
Combine like terms.
2x+30= 180
2x= 180-30
2x= 150
x= 150÷2
x= 75
Checks:
x+x+30= 180
75+75+30= 180
You can also check using the equation in its simplified form: 2x+30= 180.
2x+30=180
2(75)+30=180
150+30=180
Hence x=75
Is this pattern a net for the three-dimensional figure?
no
yes
Answer:
yes
Step-by-step explanation:
2 bases 3 rectangles, folds properly.
Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces.
The equation will be given as y = 6x for the given information in the question.
The complete question is as below:-
Mr Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Here we are given that the weight of each book is 6 ounces. If there are x number of books, the weight of x books will be 6 times x.
And if y represents the total weight, we can form an equation describing the relation between a number of books and their net weight. The equation can be
y = 6x
Hence all the ordered pairs satisfying the above equation will represent the number of books and the total weight.
To know more about expression follow
https://brainly.com/question/723406
#SPJ1
The solutions to a quadratic equation are x=4 and x=3/5. What is the original equation?
14-8+3+8x(24÷8)
tell accordingly and i will mark every answer as brainliest
Answer:
33
Step-by-step explanation:
Apply BODMAS(Brackets Of Division Multiplication Addition Subtraction)
Answer:
+33
Step-by-step explanation:
first (24÷8), 8x(3), 14-8+3+24 =33
Which is the graph of f(x) = (2)* ?
a graph
I assume you meant to type f(x)=2^x.
An object is moved at a constant speed of 20m/s for 4s
Answer:
80 m is distance traveled
Step-by-step explanation:
if object moves at 20m/s, then in 4 seconds the expression 20 x 4 is used to get 80. 80 m traveled
Find y
y
A.4
B. 4√2
C. 8
D. 2√2
X
30°
4√3
Step-by-step explanation:
z = 4√3
y = ?
Z° = 90° - 30° = 60°
Y° = 30°
• Find y.
y/sin(Y) = z/sin(Z)
y/sin(30°) = 4√3/sin(60°)
y/(1/2) = 4√3/(1/2 √3)
y . 1/2 √3 = 4√3 . 1/2
y . 1/2 √3 = 2√3
y = 2√3 . 2/√3
y = 4√3/√3
y = 4
The answer is A.
What is the range of the function graphed below?
O (-∞0,4]
O [-4.0) [2,00)
O [-4,00)
O (-4,0] (2,00)
Answer: B. [–4, 0) ∪ [2, ∞)
To find the range, find out what y-values are possible for the function in the graph.
SymbolsWe need to pay attention to what symbols to use.
Reading the diagramSolid circle
The function touches the point.Empty circle
The function gets close, but does not touch the point.Arrow
The function keeps going to infinity.Writing range in set notationSquare brackets: [ and ]
These show that the function touches the point.Curved brackets: ( and )
These show that the function gets close but does not touch the point.Infinity always uses a curved bracket.Union of sets: ∪
This symbol shows that sets of values are talking about the same thing. It's almost like the word 'and'.Finding the range of the graphed functionLower blue lineLet's start by looking for the lowest possible y-value at the bottom of the diagram. On the graph, the point (4, –4) marked with a solid circle.
The function touches the point and stops. Since the y-value is –4, the lowest possible y-value is: [tex]-4[/tex]
If we follow the blue line upwards, we find an empty circle at (0, 0). The y-value in (0, 0) is 0. This means that the function gets close, but does not include: [tex]0[/tex]
So, the first part of our range is:
[–4, 0)Upper blue lineThe blue line on the top starts where y = 2 at a solid circle. So, the function includes the y-value: [tex]2[/tex]
If we follow this blue line upwards, it ends with an arrow. This means it will keep going to infinity, which is the symbol: [tex]\infty[/tex]
So, the second part of our range is:
[2, ∞)Putting it togetherPut the lower and upper blue lines together with the union of sets symbol. The range is expressed as: [–4, 0) ∪ [2, ∞)
Learn more about domain and range here:
https://brainly.com/question/20349151
Which of the following sets of ordered pairs represents a function?
{(-6,-1), (13,8), (1,6), (1,-10)}
{(10,5), (10,-5), (5,10), (5,-10)}
{(3,5), (-17,-5), (3,-5), (-17,5)}
{(10,5), (-10,-5), (5,10), (-5,-10)}
Answer:
Step-by-step explanation:
A function can only have one output for an input. That is, for any value of x, there must be a unique value of y.
{(-6,-1), (13,8), (1,6), (1,-10)} Not a Function: (1,6) and (1,-10)
{(10,5), (10,-5), (5,10), (5,-10)} Not a Function: (10,5) and (10,-5)
{(3,5), (-17,-5), (3,-5), (-17,5)} Not a Function: (3,5) and (3,-5)
{(10,5), (-10,-5), (5,10), (-5,-10)} Function: No duplicate values of y for a value of x.
Find the simplified product 2 square root 5x^3(-3 square root 10x^2
The simplified product of [tex]2\sqrt{5x^{3} }[/tex] and -3[tex]\sqrt{10x^{2} }[/tex] is -30[tex]x^{5/2} \sqrt{2}[/tex].
Given Two expressions: -3[tex]\sqrt{10x^{2} }[/tex] and 2[tex]\sqrt{5x^{3} }[/tex].
We have to multiply both the expressions and it can be done as under:
-3[tex]\sqrt{10x^{2} }[/tex] *2[tex]\sqrt{5x^{3} }[/tex]
Firstly we have to multiply -3 with 2 to get
=-6[tex]\sqrt{10x^{2} }\sqrt{5x^{3} }[/tex]
Then we have to find square root of x cube and x square which is x to the power 3/2 and x to the power 1.
=[tex]-6x^{3/2} x\sqrt{10}\sqrt{5}[/tex]
Now we have to multiply both the numbers in the root to get the answer;
=-6[tex]x^{5/2} \sqrt{50}[/tex]
Square root of 50 is 5 root 2.
=-6*5[tex]\sqrt{2}[/tex][tex]x^{5/2}[/tex]
=-30[tex]\sqrt{2}[/tex][tex]x^{5/2}[/tex]
Hence the simplified product is -30[tex]\sqrt{2}[/tex][tex]x^{5/2}[/tex].
Learn more about product here https://brainly.com/question/10873737
#SPJ10
help please fast grade 5 math help extra points to thooese who explain marking brainliest
solve : y+3=10 solve the question
Answer:
y+3=10
solution,
y+3=10
y+3-3=10-3
y=7
thus,
y=7ans
Marvin uses apples to make apple bread the ratio of apples to loaves is 12:2 what is the equivalent ratio for 5 loaves of bread
Answer:
dSutlrysl07tris5eiruwf3rtst47er747y3utgxgudjdudufnlgjfngvi
Lewis wishes to make a scale drawing of his mansion. If his mansion is 50 feet tall, and he wishes to scale is diagram so that 3 inches represent 8 feet, how tall is the mansion on paper?
Answer:
18.75 inches
Step-by-step explanation:
Inches:feet
3. : 8
X. : 50
(Cross multiply)
8x=150
X=150÷8=18.75
The sides of the base of a right square pyramid are 10 feet long. The slant height is 15 feet. When the side lengths of the base and the slant height are both multiplied by a factor of 4, by what factor is the surface area multiplied?
The surface area is multiplied by a factor of 16
How to determine the factor of the surface area?The dimensions are given as:
Base = 10 feetSlant height = 15 feetFactor, k = 4The factor of the surface area is calculated as:
Surface area = Factor^2
So, we have:
Surface area = 4^2
Evaluate
Surface area = 16
Hence, the surface area is multiplied by a factor of 16
Read more about scale factor at:
https://brainly.com/question/3457976
#SPJ1
16
Step-by-step explanation:
please answer this, i am not sure what the answer is
The loss on the sale of equipment of $25 will appear in cash flow for operating activities section.
What is a cash flow statement?The cash flow statement is a financial statement that gives aggregate data regarding the cash inflows that a company receives.
The loss on sales of equipment will be:
Cost of equipment = $500
Less accumulated depreciation = $375
Less sale of equipment = $25
Here, the loss on the sale of equipment of $25 will appear in cash flow for operating activities section.
Learn more about cash flow on:
brainly.com/question/24179665
#SPJ1
Someone help me as fast as possible!!
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: length = 11 \: \: in[/tex]
[tex]\qquad \tt \rightarrow \: width = 4 \: \: in[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Let the measures be :
width = xlength = x + 7[tex] \textsf{\large Area of rectangle :} [/tex]
[tex]\qquad \tt \rightarrow \: Area = length \sdot width [/tex]
[tex]\qquad \tt \rightarrow \: 44 = x \sdot(x + 7)[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x = 44[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x - 44 = 0[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 11x - 4x - 44 = 0[/tex]
[tex]\qquad \tt \rightarrow \: x(x + 11) - 4(x + 11) = 0[/tex]
[tex]\qquad \tt \rightarrow \: (x + 11)(x - 4) = 0[/tex]
possible values of x = -11 and 4
[tex] \textsf{But the acceptable value of x = 4} [/tex]
[ length or width of rectangle can't be negative ]
[tex]\qquad \tt \rightarrow \: length = x + 7 = 4 + 7 = 11 \: \: in[/tex]
[tex]\qquad \tt \rightarrow \: width = x = 4 \: \: in[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
an inequality that represents each verbal expression.
v is greater than or equal to 5.
Answer:
v ≥ 5
Step-by-step explanation:
v ≥ 5
Solve the simultaneous equations
2
x
+
3
y
=
5
5
x
−
2
y
=
−
16
Answer:
x = -2, y = 3
Step-by-step explanation:
2x + 3y = 5
5x - 2y = -16
In order to find the value of a variable, we must eliminate the other variable by multiplying the equations to get the same coefficient.
We can multiply the first equation by 5 and the second one by 2 to get the same coefficient for x, the equations then become:
10x + 15y = 25
10x - 4y = -32
Now we can subtract:
19y = 57
y = 3
Since we know the value of y, we can substitute it into one of the original equations:
2x + 3(3) = 5
2x + 9 = 5
2x = -4
x = -2
Need help
cnnbc recently reported that the mean annual cost of auto insurance is 959 dollars. assume the standard deviation is 263 dollars, and the cost is normally distributed. you take a simple random sample of 37 auto insurance policies. round your answers to 4 decimal places.
a what is the probability that one randomly selected auto insurance is more than $984?
b. a simple random sample of 37 auto insurance policies, find the probability that the average cost is more than $984.
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters are given as follows:
[tex]\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24[/tex]
Item a:
The probability is one subtracted by the p-value of Z when X = 984, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{984 - 959}{263}[/tex]
Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{984 - 959}{43.24}[/tex]
Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at https://brainly.com/question/4079902
#SPJ1
Which polynomial is equal to the sum of polynomials 1 and 2?
Polynomials 1 and 2 are represented below with tiles.
Polynomial 1
X²X²
X²
Polynomial 2
A. 2x²+2x+1
OB. 5x² + 4x+6
OC. 7x² +6x+7
OD. 7x² +6x+5
The polynomial 7x² + 6x + 7 is equal to the sum of polynomials 1 and 2.
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved. Example, x² + 3x + 5.
As per the given informations, the first polynomial is 2x² + 2x + 1.
The second polynomial equal is 5x² + 4x + 6.
Now, the sum of the two polynomial can be written as,
Sum = 5x² + 4x + 6 + 2x² + 2x + 1 = 7x² + 6x + 7
Therefore, the polynomial 7x² + 6x + 7 is equal to the sum of polynomials 1 and 2.
To learn more about the polynomials visit:
https://brainly.com/question/17822016.
#SPJ1
The area of a rectangle is 20 square meters. The length of the rectangle is (x-3) meters and the
width of the rectangle is (x - 2) meters. Find the length and the width of the rectangle.
With steps and explanation please.
Answer:
length = 4 cm
Width = 5 cm
Step-by-step explanation:
Area of rectangle:Area of rectangle = length * width
length = (x - 3) meters
Width = (x - 2) meter
Area = 20 square meters
(x - 3)*(x - 2) = 20
Use FOIL method.
x*x + (x)(-2) + (-3)*x + (-3)*(-2) = 20
x² -2x - 3x + 6 =20
Combine like terms
x² - 5x + 6 = 20
Now subtract 20 from both side
x² - 5x + 6 - 20 = 0
x² - 5x - 14 = 0
Factorize the equation and find the roots
Sum = -5
Product = -14
Factors = (-7) , 2
When we add (-7) + 2 = -5 and when we multiply (-7)*2 = -14
x² + 2x - 7x - 14 = 0
x(x + 2) -7(x + 2) = 0
(x + 2)(x - 7) = 0
x - 7 = 0 {Ignore (x + 2 = 0) as measurements wont't be in negative}
x = 7
length = x - 3
= 7 - 3
[tex]\sf \boxed{\bf length = 4 \ cm}[/tex]
width = x - 2
= 7 - 2
[tex]\sf \boxed{\bf width = 5 \ cm }[/tex]
