Dan is left with £66 after the total spending.
What is referred as the total expenses?An expense is the amount of operations incurred by a business in order to generate revenue.
It is simply described as the amount of money required to obtain something. "It costs to make money," as the adage goes.Expenses can be classified in a number of ways. Fixed expenses, including such rent or mortgage, are those that don't change in response to changes in production. Expenses can also be described as variable expenses, which change in response to changes in production. Utilities as well as the cost of selling goods are examples of these.As for the given question;
The total earning per week is £495.
Spending on rent is 1/5.
1/5 of £495 = 495/5 = 99
Spending on rent is £99.
Now, spending on food is 2/3 of £495.
Food spending = (2/3)×495 = £330
Let the money left is 'x'.
Total expenses = Total income
food cost + rent cost + saving = 495
99 + 330 + x = 495
x = 495 - 429
x = 66
Thus, the savings by the Dan is £66.
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If the measure of an interior angle of a regular polygon is 108, what type of polygon is it?
F octagon
G hexagon
H pentagon
J triangle
An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.
What shape does the Pentagon have?
A pentagon is a flat, 2D mathematical shape with five sides and five vertices. The Greek word "pentagonos," which means "five-angled," is where the name "pentagon" originates. There are five internal angles that create corners in a normal pentagon.What do you call a shape with five sides?
The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540 degrees.Learn more about Pentagon
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Anne and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $165 every month to the savings. The amount A (in dollars) saved this way is given by the function A=165N+750 , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $395 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=395N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N .
The equation relating T to N is T = 560N + 750
What is a function?
A function is defined as an expression or rule that explains or compares the relationship between two variables - the dependent and the independent variable.
From the information given, we have that;
Plan A = 165N + 750Plan B = 395NT is the total amount saved using both plan A and BThis is represented as;
T = A + B
Substitute the values
T = 165N + 750 + 395N
Collect like terms
T = 165N + 395N + 750
Add like terms
T = 560N + 750
Thus, the equation relating T to N is T = 560N + 750
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Write an equation in point-slope form of the line having the given slope that contains the given point.
m:-1,(-2,3)
The equation in point-slop form of the line line having the slope m=-1 and that contains the point (-2,3) is y-3=-1(x+2)
Given,
The slope m = -1
The point = (-2,3)
We know the point-slope form,
[tex]y-y_{1}=m(x-x_{1})\\[/tex]
Substitute the values in the equation
y-3=-1(x-(-2))
y-3=-1(x+2)
Hence, the equation in point-slop form of the line line having the slope m=-1 and that contains the point (-2,3) is y-3=-1(x+2)
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You buy3.9 pounds of trail mix. The mix costs $2.88 per pound. What is the total price for the trail mix?
Step-by-step explanation:
$2.88 per pound
so, then how much for e.g. 2 pounds ?
right : the price for 1 pound plus 1 pound = 2×$2.88 = $5.76
and so on.
therefore, 3.9 pound cost :
3.9 × $2.88 = $11.232 ≈ $11.23
Answer:
11.232
Step-by-step explanation:
3.9×2.88=11.232
Your friend says the line y=-2 x+3 is perpendicular to the line x+2 y=8 . Do you agree? Explain.
I do not agree that the line y = -2x + 3 is perpendicular to the line x + 2y = 8.
Perpendicular lines are lines that form right angles at the point of intersection. The equation of the lines that are in perpendicular with each other have slopes that are negative reciprocal with one another.
If slope of A = a/b, and B is perpendicular to A, then slope of B = -b/a.
To check if the two given equation of the line is perpendicular with each other, get their slopes and see if they're negative reciprocal of one another.
Line 1 : y = -2x + 3
m = -2
slope of perpendicular line to line 1 = 1/2
Line 2 : x + 2y = 8 ⇒ 2y = -x + 8 ⇒ y = -1/2 x + 4
m = -1/2
1/2 ≠ -1/2
Since the negative reciprocal of the slope of the first line is not equal to the slope of the second line, then they are not perpendicular with each other.
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a certain function is represented by f(x)-4^2-3x+2. what is the value of f(-2)?
Answer: -8
Step-by-step explanation:
replace x in the function with -2-4^2-3(-2)+2-16+8-8Necesito ayuda con este problema si no lo entiendes traducelo y ayudame me puedes explicar en español ya que lo entiendo
Answer:
F
Step-by-step explanation:
La respuesta es f porque la tasa vigente en el lado x es por 2 y la tasa vigente en el lado y es por 12.
1. What is the probability the marble is yellow? The probability it is blue? The
probability
it is red?
Answer:
What is the probability the marble is yellow? = 1/3
The probability it is blue? = 1/3
The probability it is red? = 1/3
Pls pls help whoever gets it right gets a crown
Can some please help me on this? It’s due tmrw
what is the quotient of 3/4÷1/5
Find the value of c that completes the square. r^2+21r+c
Answer:
c = 110.25
(r + 10.5)²
Step-by-step explanation:
Hello!
Perfect Square Trinomial: [tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
21r is basically 2 times r and b, the missing number.
Solve for b21r = 2*r*b10.5 = bThe missing number, b, would be 10.5
Now c is basically b², so we just have to simplify 10.5²:
10.5²110.25c should be 110.25 for it to be a Perfect Square Trinomial. The factored form would be (r + 10.5)².
Can yall help me with this
Answer:
Step-by-step explanation:
d
I am struggling with 6 2/5 revolutions in 2 2/3 seconds and turning it into a unit rate
[tex]\frac{12}{5}[/tex] = [tex]2\frac{2}{5}[/tex] revolutions per second is the unit rate.
What is unit rate ?An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.
1) Convert mixed fractions into fractions.
[tex]6\frac{2}{5}[/tex] = [tex]\frac{((6*5) + 2)}{5}[/tex] = [tex]\frac{32}{5}[/tex]
[tex]2\frac{2}{3}[/tex] = [tex]\frac{((2*3) + 2)}{3}[/tex] = [tex]\frac{8}{3}[/tex]
2) [tex]\frac{32}{5}[/tex] ÷ [tex]\frac{8}{3}[/tex] ; where [tex]\frac{32}{5}[/tex] is the 1st fraction and [tex]\frac{8}{3}[/tex] is the 2nd fraction
a) Find the second fraction's reciprocal:
From [tex]\frac{8}{3}[/tex] to [tex]\frac{3}{8}[/tex]
b) Multiply the first fraction by the second fraction's reciprocal, which is 32/5, 5/3, or (5/3), to get 96/40.
c) Simplify the fraction.
Divide 96 / 40 by 4 to get 24/10.
Divide 24/10 by 2, and the result is 12/5. The 96/40 simple fraction
[tex]\frac{12}{5}[/tex] = [tex]2\frac{2}{5}[/tex] revolutions per second is the unit rate.
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Solve each equation. Check your answers. -3(x-4)=2(x+8)
The solution of the given equation -3(x-4)=2(x+8) is at x = -4/5.
According to the given question.
We have a linear equation in one variable.
-3(x-4)=2(x+8).
As we know that,the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the given equation is given by
-3(x - 4) = 2(x + 8)
⇒ -3x + 12 = 2x + 16
⇒ -3x - 2x = 16 - 12
⇒ -5x = 4
⇒ x = -4/5
We get the solution of the given equation is at x = -4/5.
Now, we can check that x = -4/5 is a solution of the given equation or not.
Therefore,
L.H.S
= -3(-4/5 - 4)
= 12/5 + 12
= (12 + 60)/5
= 72/5
Similarly,
R.H.S
= 2(-4/5 + 8)
= -8/5 + 16
= -8 + 80/5
= 72/5
So, L.H.S = R.H.S
Hence, the solution of the given equation -3(x-4)=2(x+8) is at x = -4/5.
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I don’t understand 15 through 18
Answer:
Step-by-step explanation:
15. True
16. False
17. True
18. True
Answer:
15 )true because they are opposite angles.
16) false 2 and 4 are opposite angles so should be the same value.
17 true ) because angle 4+1=180.
18 true) because the two angles make a 180 degree.
Solve for x (5x+3)=(7x-7)
answer:
5
explanation:
(5*5) + 3=28
(7*5) - 7= 28
Simplify: 31−(5−3⋅4)2+26÷4
Answer:
51.5
Step-by-step explanation:
Simplify:
31−(5−3⋅4)*2+26÷4=
31-(5-12)*2+6.5=
31-(-7)*2+6.5=
31+14+6.5=
51.5
Simplify by combining like terms. x(3-y) + y(x+6)
By combining the like terms, the simplified form of the expression x(3-y)+y(x+6) is 3x+6y
Given,
The algebraic expression = x(3-y)+y(x+6)
Apply distributive property and expand the term
x(3-y)+y(x+6)=3x-xy+xy+6y
Combine like terms
3x-xy+xy+6y= 3x+6y
Hence, by combining the like terms, the simplified form of the expression x(3-y)+y(x+6) is 3x+6y
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The price of an item was reduced by 35 percent . The original price was $33. What is the price of the item now?
Answer:
11.55
Step-by-step explanation:
in how many years will the population of village be 209475 from 190000 at the growth rate of 5% per annum?
Answer:
The period would be 2 years
Step-by-step explanation:
Express your answer as a polynomial in standard form.
ƒ(x) = 2x² + 5x + 15
g(x) = -x + 5
Find: (fog)(x)
Answer:
2x² - 25x + 90
Step-by-step explanation:
→ Replace every x in 2x² + 5x + 15 with -x + 5
2 × ( -x + 5 )² + 5 ( -x + 5 ) + 15
→ Simplify
2 ( x² - 10x + 25 ) - 5x + 25 + 15
→ Expand
2x² - 20x + 50 - 5x + 40
→ Simplify
2x² -25x + 90
co effiecnet? what is it
The coefficient is defined as a coefficient is a number multiplied by a variable.
We need to define the term coefficient.
What is the coefficient?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.
For example, in the expression 6x², 6 is the coefficient of x² but in the expression 2y² + 7, 2 is the coefficient of y².
In terms of a polynomial, a series, or any other expression, a coefficient is, in other words, a multiplicative factor.
Therefore, the coefficient is defined as a coefficient is a number multiplied by a variable.
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At a carnival, the object of a game is to throw a dart, at the board and hit region III.
a. What is the probability that it hits region I?
The probability that it hits region I is 15%.
Probability:
Probability means the possibility of the required event.
The formula for the probability is written as,
P(E) = n(E)/n(S)
Where,
P(E) is the probability of an required event
n(E) is the number of possible outcomes
n(S) is the total number of events.
Given,
At a carnival, the object of a game is to throw a dart at the board and hit region III.
Here we need to find the probability that it hits region I.
Consider the board was look like the following figure.
Then based on the given figure,
First, we have to find the total area of the board and the area of the required region.
And then we have to compare it to calculate the Probability.
So, the total area of the board is,
=> total area of the board = (10 + 30)(10 + 15)
=> total area of the board = 1000 in²
Now, the The area of the region I is
=> Area = (10)(15)
=> Area = 150 in²
Therefore, the probability that it hits region I is
=> P = 150/1000
=> P = 15/100
=> P = 15%
Therefore, the probability that it hits region I is 15%.
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At a local print shop, 20 copies can be made for $8. At this rate, how how many copies could be made for $32?
80 copies could be made from $32 at a local print shop.
What is termed as the unitary method?The unitary method determines the value of a unit followed by the value of a necessary number of units.Increases or decreases in one quantity will result in a rise or decrease in that other quantity in direct variation. For example, a rise in the amount of goods will result in a higher price.Direct variation is its inverse. When we increase one quantity, the value of some other quantity decreases.For the given question;
$8 is cost for the 20 copies.
Then,
$8 ------> 20 copies.
Divide both side by 8.
$1 -------> 20/8 copies.
For $32, multiply both side by 32.
$32 ------->32×(20/8) copies
$32 -----> 80 copies.
Therefore, 80 copies will be prepared by the amount of $32 at the local print shop.
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How do you show your work to 3x-4
It should be noted that the value of to 3x-4will be -12.
How to compute the value?It should be noted that this simply has to do with multiplication.
In this case we have to multiply the values that are given.
Also, it's important note that minus multiplied by plus is minus.
Therefore, (3 × -4) = -12.
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Evaluate the expression for the given values of the variables.
11(a+2b)+2(a-2b);a=-3 and b=4
The value of expression is 33
For evaluating the expression, we will keep the given values of variables in the expression. Further solving will be done according to the mathematical operators.
Rewriting the equation -
Value = 11 (a + 2b) + 2 (a - 2b)
Now keeping the values of variables in expression -
Value = 11 (-3 + 2×4) + 2 (-3 - 2×4)
Firstly solving the brackets
Value = 11 ( -3 + 8) + 2 (-3 - 8)
Value = 11 (5) + 2 (-11)
Performing multiplication
Value = 55 - 22
Performing subtraction
Value = 33
Hence, the expression for the given values of the variables is 33.
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Find point X on AB such that the ratio of AX to XB is 1:3
The point X on AB such that the ratio is 1.25 units.
XB=AX×3
AX+XB=AB
AX+(AX×3)=AB
AX×4=AB
AX×4=9
AX=2.25
X=-1+2.25
X=1.25 units
Ratio shows how often one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). The proportions of oranges to the overall amount of fruit are 8:14 for oranges and 6:8 (or 3:4) for lemons (or 4:7).
The quantities in a ratio can be of any form, including counts of people or things, measures of lengths, weights, or times, etc.
Hence , the Coordinate in units: (2,1.25). In most contexts, both numbers are restricted to be positive.
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A football was kicked vertically upward from a height of 4 feet
with an initial speed of 60 feet per second. The formula
h = 4 + 60t - 16t
2
describes the ball’s height above the ground, h, in feet, t seconds
after it was kicked. Use this formula to solve Exercises 19–20.
19. What was the ball’s height 2 seconds after it was kicked?
Answer: h=60 feet
Step-by-step explanation:
h=4+60t-16t²
h(2)=4+(60)(2)-(16)(2)²
h(2)=4+120-(16)(2)(2)
h(2)=124-64
h(2)=60 feet
write the equation of the line that is parallel to y=1/3x-3 and passes through the point (6,2)
PLEASE HELP
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
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[tex]\textsf{Parallel lines have the same slope, thus:}[/tex]
[tex].\qquad\bullet\sf{Slope\:of\:the\:line\:that's\:parallel\:to\:the\:given\:line: \dfrac{1}{3}}[/tex]
[tex]\textsf{Next, we'll apply the \textbf{Point-Slope Formula:}}[/tex]
[tex].\qquad\bullet\sf{y-y_1=m(x-x_1)}[/tex]
[tex]\textbf{\underline{Setting the values:}}[/tex]
[tex].\qquad\bullet\sf{y_1=2}\\.\qquad\bullet m=1/3\\.\qquad\bullet x_1=6}}[/tex]
[tex]\textbf{\underline{Plugging in the values:}}[/tex]
[tex].\qquad\bullet\sf{y-2=\dfrac{1}{3} (x-6)}\\\\.\qquad\bullet y-2=\dfrac{1}{3}x-2}\\\\.\qquad\bullet y=\dfrac{1}{3} x}[/tex]
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[tex]\large\overbrace{\underbrace{\textsf{\textbf{Reflection - RoSe}}}}^\star_\star[/tex]
