Answer:
Each payment should be £172.5
Step-by-step explanation:
Cost of electricity for next year = £600
Administration charge = 15%
Daryl wants to pay in four equal instalments throughout the year,
How much should each payment be?
First we need to find the total cost of bill by adding 15% of administration charge by finding 15% of 600
[tex]15\% \:of\: 600\\=\frac{15}{100}\times 600\\= 90[/tex]
So, 15% of 600 is 90
Now adding 90 into the electricity cost:
600+90
= 690
Now, the total cost of electricity bill is £690
Daryl wants to pay in four equal instalments.
So, divide 690 by 4
Each payment for instalments is: [tex]\frac{690}{4} = 172.5[/tex]
So, Each payment should be £172.5
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
x=3.6
Step-by-step explanation:
multiply 4 by 9 and then divide by 10
Answer:
x/4=9/10
x*10=9*4
x=(9*4)/10
X=3.6
what are the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3
Answer:
(-5/2,5)
I hope it will be useful.
The coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).
What is the line segment?In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.
Now the given coordinates are,
(-4,10) and (2,-10)
Thus, we have,
x₁ = -4
y₁ = 10
x₂ = 2
y₂ = -10
Given ratio, m₁ : m₂ = 1 : 3
⇒ m₁ = 1; m₂ = 3
Let (x,y) be the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3.
Since the section formula is given as,
So, x = (m₁x₁ + m₂x₂) / (m₁ + m₂)
y = (m₁y₁ + m₂y₂) / (m₁ + m₂)
Put the values,
x = [1(-4) + 3*2)] / (1 + 3) = (-4+6) / 4 = 2/4
⇒ x = 1/2
Similarly y = [1(10) + 3*(-10)] / (1 + 3) = (10-30) / 4 = -20/4
⇒ y = -5
So, the required coordinates are (1/2, -5)
Thus, the coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).
To learn more about line segment :
brainly.com/question/12774890
#SPJ2
HELP WILL GIVE BRAINLIEST
Step-by-step explanation:
y = x - 4 and y = 4x + 2
=> x - 4 = 4x + 2
=> 3x = -6
=> x = -2
y = x - 4 = (-2) - 4 = -6
The solutions are x = -2 and y = -6.
Answer:
x = -2
y = -6
Step-by-step explanation:
y = x - 4
y = 4x + 2
y = y
then:
x-4 = 4x+2
x - 4x = 4 + 2
-3x = 6
x = 6/-3
x = -2
y = x - 4
y = -2 - 4
y = -6
Please help due in 10 minutes
Marilyn borrowed $47,500 to pay for college. If the interest rate is 4.6%,
how much total will she have paid after 15 years?
plzplz plz answer
Answer:
98,635
Step-by-step explanation:
Belinda eats 40 percent of the cake and Graham eats 25 percent of the remainder.
What is the mass of the cake left over?
Answer:
35%
Step-by-step explanation:
40%+25%=65%
100%-65%=35%
Can someone please explain how to solve 2.7÷0.8 step by step please
Answer: 3 and 3/8 or 27/8
Step-by-step explanation:
First step, you will need to move the decimal to the side by 1 place value.
0.8 --> 8. and 2.7--> 27.
Then just do your normal dividing.
27/8 = 3 and 3/8
The answer to 2.7÷0.8 can be either a mixed number or an improper fraction.
You have to move the decimal places to the right as many times as you need in order to make the number a while number you move the decimal place the same times as you did to the number outside the box which makes is 8 divided by 27 8 can’t go into 2 so u add a 0 and 8 can go into 27 3 times. You add a decimal point and subtract 24 from 27 u get 3 then you add a decimal point with a 0 8 can go into 30 3 times so it’s 6 add a decimal point to make it 60. Then 8 can go into 60 7 times subtract 56 from 60 and you get 4 add a decimal point and you get 40 8 can go into 40 5 times and your answer is 3.375
I added picture so u can see how it looks when you do it.
O is the centre of the circle and ABC and EDC are rangers to the circle. Find the side of angle BCD. You must give reason in your answer. (4marks)PLZZZZZZ HELP!!
Every line from the tangent to the centre is 90°. This is said in the circle theorems.
So angle OBC and ODC are 90°.
angle O is twice the size of angle F. This is another circle theorem.
Therefore angle O is 152°.
The quadrilateral of ODBC would equal to 360°. Which means 90° + 90° + 152° = 332°
360° - 332° = 28°.
The answer is 28°
Answer:
∠BCD = 28°
Step-by-step explanation:
arc BD = 2 x inscribed angle ∠BFD = 2 x 76 = 152
arc BFE = 360 - arc BD = 360 - 152 = 208
tangent-tangent angle ∠BCD = (arc BFE - arc BD)/2 = (208 - 152)/2 = 28
Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.
Given:
x, y and z are integers.
To prove:
If [tex]3x-y+5z[/tex] is even, then at least one of x, y or z is even.
Solution:
We know that,
Product of two odd integers is always odd. ...(i)
Difference of two odd integers is always even. ...(ii)
Sum of an even integer and an odd integer is odd. ...(iii)
Let as assume x, y and z all are odd, then [tex]3x-y+5z[/tex] is even.
[tex]3x[/tex] is always odd. [Using (i)]
[tex]5z[/tex] is always odd. [Using (i)]
[tex]3x-y[/tex] is always even. [Using (ii)]
[tex](3x-y)+5z[/tex] is always odd. [Using (iii)]
[tex]3x-y+5z[/tex] is always odd.
So, out assumption is incorrect.
Thus, at least one of x, y or z is even.
Hence proved.
Find the x and y intercepts of the line 2y = 4x - 5
Divide by 2
Y = 2x - 2.5
x intercept: when y = 0
0 = 2x - 2.5
2.5 = 2x, x = 1.25
y intercept: when x = 0
Y = 2(0) - 2.5, y = -2.5
Solution: (1.25, 0) and (0, -2.5)
-12/7z=48 pls help!!
Mr. Nguyen bout a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes brought a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. How much did each chicken leg and each chicken wing weigh?
Complete Question
Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. Ms. Dawes bought 42 ounces of chicken. How much did each chicken leg and each chicken wing weigh?
Answer:
Weight of Chicken leg = x = 8 ounces
Weight of Chicken wing = y = 3 ounces
Step-by-step explanation:
Let us represent
Weight of Chicken leg = x
Weight of Chicken wing = y
Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings.Mr. Nguyen bought 45 ounces of chicken.
3x + 7y = 45 ounces.... Equation 1
Ms. Dawes bought a package of 3 chicken legs and a package of 6 chicken wings. Ms. Dawes bought 42 ounces of chicken.
3x + 6y = 42 ounces... Equation 2
Combining both Equations together we solve by Elimination method
3x + 7y = 45.... Equation 1
3x + 6y = 42... Equation 2
We eliminate x by subtracting Equation 2 from Equation 1
Hence:
y = 3 ounces
Solving for x
3x + 6y = 42 ounces... Equation 2
3x +6(3) = 42 ounces
3x + 18 = 42 ounces
3x =( 42 - 18) ounces
3x = 24 ounces
x = 24 ounces/3
x = 8 ounces
Hence:
Weight of Chicken leg = x = 8 ounces
Weight of Chicken wing = y = 3 ounces
Answer:
chicken leg- 8 oz
chicken wing- 3 oz
Step-by-step explanation:
How much money will be in a bank account after 4 years if $8 is deposited at an interest rate of 5%?
a.
$12.00
c.
$16.00
b.
$10.41
d.
$9.72
Answer:
$9.60
Step-by-step explanation:
The question above is a simple interest question.
The formula for the amount of money after a given period of time using simple interest is given as:
A = P(1 + rt)
Where
P = Initial Amount saved or invested = $8
R = Interest rate = 5%
t = Time in years = 4
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 8(1 + (0.05 × 4)) = 9.6
A = $9.60
The amount of money that will be in a bank account after 4 years is $9.60
Please help with 8 the last question
Answer:
First choice, 25
Step-by-step explanation:
200 times 1/8 = 200/8 = 25
helppppppp11111111111111111111111!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
will give brainliest
9514 1404 393
Answer:
2/3; (x, y) ⇒ (2/3x, 2/3y)1/2; (x, y) ⇒ (1/2x, 1/2y)7/8; (x, y) ⇒ (7/8x, 7/8y)1/4; (x, y) ⇒ (1/4x, 1/4y)Step-by-step explanation:
For dilations about the origin, such as these, the scale factor is always the ratio of any image point coordinate* to the corresponding preimage point coordinate. If the scale factor is k, the transformation can be written as ...
(x, y) ⇒ (kx, ky)
__
S(9,12) ⇒ S'(6, 8) . . . . scale factor is 6/9 = 2/3; relation is (x, y) ⇒ (2/3x, 2/3y)
U(8, 18) ⇒ U'(4, 9) . . . scale factor is 4/8 = 1/2; relation is (x, y) ⇒ (1/2x, 1/2y)
I(0,8) ⇒ I'(0, 7) . . . scale factor is 7/8; relation is (x, y) ⇒ (7/8x, 7/8y)
X(16, 8) ⇒ X'(4, 2) . . . scale factor is 2/8 = 1/4; relation is (x, y) ⇒ (1/4x, 1/4y)
_____
* The origin is the one invariant point in a dilation, so the chosen coordinate cannot be zero.
ANSWER ASAP PLEZ I HAVE BEEN ON THESE QUESTIONS FOREVER AND PLEASE DONT JUST TAKE THE POINTS I REALLY NEED HELPPPPPPPPPPP :(
Answer: For #6, domain is {-3≤x<4}, range is {-3<y≤-1}
Step-by-step explanation: For #6 domain, the leftmost point on the graph is -3, with a closed circle. This means that x is greater than or equal to -3 (-3≤x). The rightmost point is 4, with an open circle, meaning that x is less than 4 (x<4). Put them together in the standard format, and you get {-3≤x<4}. Same principle for range; lowest point is -3, with an open circle (-3<y), and highest point is -1, with a closed circle (x≤-1). Result is {-3<y≤-1}.
I'm not sure whether you are a beginner at this or if it's just this one that you're stuck on, I hope my answer was sufficient.
HELP ASAP PLEASE!!
solve the literal equation: 2ax+9=23 for x and show your work
Answer:
x = 7/a
Step-by-step explanation:
2ax + 9 = 23
Inverse operations
2ax + 9 = 23
-9 -9
2ax = 14
/2 /2
ax = 7
/a /a
x = 7/a
Figure A is dilated to create A'. 5 in 3 in Figure A Figure A 10 in 6 in Which rule best represents the dilation that was applied to figure A? A. (x, y) (5x, 3y) B. (x, y) - (x, yl C. (x,y) - (x, y) D. (x, y) - (0.6x, 0.6y)
Answer:
A does
Step-by-step explanation:
5+3+10+6=24x56310B=A+B=A
3x + 4y = –20
6x + 5y = –7
Answer:
x = 8
y = -11
Step-by-step explanation:
In this question, we have to find out the value of "x" and "y".
Solve:
Lets solve for y first.
-2(3x + 4y = -20)
6x + 5y = -7
------------
-6x - 8y = 40
6x + 5y = -7
------------
-3y = 33
Divide both sides by -3
y = -11
We now know what the value of "y" is, now we must find the value of x. To do this, we would plug -11 to "y" in one of our equations.
Solve for x:
3x + 4y = -20
3x + 4(-11) = -20
3x - 44 = -20
Add 44 to both sides.
3x = 24
Divide both sides by 3
x = 8
Now we know that our answer are:
x = 8
y = -11
For the figure below, find the values of x and y.
Answer:
x = 40 y = 140
Step-by-step explanation:
The angles on the same side of the isoceles trapezoid are equal and the opposite sides are supplementary to the other angles.
What is the additive inverse of 9x-15
Answer:
[tex]-9x+15[/tex]
Step-by-step explanation:
[tex]As\ the\ additive\ inverse\ of\ any\ number\ a\ is\ b,\ where,\\a+b=0\\Or, b=-a\\Hence, here, \\In\ order\ to\ find\ the\ additive\ inverse\ of\ 9x-15, we\ just\ add\ the\\ expression\ with\ b\ and\ equate\ it\ to\ 0.\\Hence,\\(9x-15)+b=0\\Hence,\\b=-(9x-15)\\b=-9x+15[/tex]
Derrick has a total of 9 nickels and quarters in his pocket. The total amount of money he has in coins is $1.45.
How many nickels and how many quarters does Derrick have?
Answer:
Derrick has 5 quarters and 4 nickles
Step-by-step explanation:
your welcome :D
Raquela's coworker made price tags for several items that are to be marked down by 35%. Match each Regular Price to the correct Sale Price.
Regular Price: $4.19
Regular Price: $3.09
Regular Price: $3.77
Regular Price: $3.29
.: Sale Price: $2.01
.: Sale Price: $2.45
:: Sale Price: $2.72
: Sale Price: $2.14
9514 1404 393
Answer:
see below
Step-by-step explanation:
I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.
The sale price is 100% - 35% = 65% = 0.65 times the regular price.
__
Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.
regular, sale
3.09, 2.01
3.29, 2.14
3.77, 2.45
4.19, 2.72
PLEASE HELP WILL MARL BRAINLIEST!!!!!!!!
Answer:
c
Step-by-stepexplanation:
Answer:
i believe the answer is a
i'm not sure...........
hope its right
:)
Find all possible solutions for x such that △ABC is congruent to △DEF.
△ABC: sides length 7, 9, x
△DEF: sides length 7, 10, x − 1
The solution is x =
Answer:
how many times did you post this?
Step-by-step explanation:
1/3x-2=16 solve the equation
Answer:
x=54
Step-by-step explanation:
1/3 x 54 = 18, 18 - 2 = 16
:)
Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)
Answer:
(f - g)(x) = x² - 3x - 70
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = x² - 2x - 63
g(x) = x + 7
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7Combine like terms (Z): (f - g)(x) = x² - 3x - 70Which expression is equivalent to 1/3 p + 15 ?
[tex] \frac{1}{3} p + 15[/tex]
= 1/3(p + 45)
Geometry help please explain
Answer: 11
Step-by-step explanation: SAS Postulate states that any two triangles that share the same Side, Angle, Side, are congruent. Since those two triangles share the side length of 5, and then a 90 degree right angle, and the side PM every corresponding side and angle with equal each other. Such as side MN and ML.
What is the constant of proportionality shown by the values in the table?
Answer:
Slope = 2.5
Step-by-step explanation:
Hope this helps. Pls give brainliest.