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
if f(x)=e^x and g(x)=x-4 what is (g o f) (x)?
Answer:
Step-by-step explanation:
f(x)=[tex]e^{x}[/tex]
g(x)= x-4
g∅f(x) = [tex]e^{x}[/tex]-4
Answer:
(g•f)(x)=e^x -4
Step-by-step explanation:
There are 874 pieces of candy in the piñata. There are 23 children at the party, and they all agreed to split the candy equally. How many pieces of candy will each child receive?
Answer:
38 candies.
Step-by-step explanation:
Given the following data;
Total number of candy = 874
Total number of children = 23
Since we know that they are all sharing it equally, each child would get;
Each child = 874/23
Each child = 38 candies.
11 POINTS. ANSWER PLEASEE
Answer:2 is equal to 18/1 which is 36 divided by 2
Step-by-step explanation:
Answer:
1 is 20/1 or 20 miles per hour
2 is 18/1 or 18 push ups per min
3 is 15/1 or 15 dollars per hour
4 is 50/1 or 50 km per hour
Step-by-step explanation:
divide the numerators by the denominators
Let the area of a rectangle in square metres is x^2+13x+42 how much longer is the length than the width of the rectangle
Answer:
1
Step-by-step explanation:
Area of rectangle
lw
So we have to factorise the expression
x²+13x+42
x²+6x+7x+42
x(x+6)+7(x+6)
(x+7)(x+6)
So
x+7-(x+6)
x+7-x-6
1
For Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? * 1 point Angle A Angle BFor Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? *
Angle A
Angle B
Angle C
Cannot be determined Angle C Cannot be determined
Answer:
Angle C
Step-by-step explanation:
Help me please 40 points for this math question
Answer: The answer is C
Step-by-step explanation:
Please explain how to solve it
Answer: [tex]\frac{8x^3}{27y^6}[/tex]
This is the fraction 8x^3 all over 27y^6
On a keyboard, we can write it as (8x^3)/(27y^6)
===========================================================
Explanation:
The exponent tells you how many copies of the base to multiply with itself.
We'll have three copies of [tex]\left(\frac{2x}{3y^2}\right)[/tex] multiplied with itself due to the cube exponent on the outside.
So,
[tex]\left(\frac{2x}{3y^2}\right)^3 = \left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)*\left(\frac{2x}{3y^2}\right)\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2x*2x*2x}{(3y^2)*(3y^2)*(3y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{(2*2*2)*(x*x*x)}{(3*3*3)*(y^2*y^2*y^2)}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{9y^6}\\\\[/tex]
-------------------
Or another approach you could take is to cube each component of the fraction. The rule I'm referring to is [tex]\left(\frac{a}{b}\right)^c = \frac{a^c}{b^c}[/tex]
Applying that rule will lead to:
[tex]\left(\frac{2x}{3y^2}\right)^3 = \frac{(2x)^3}{(3y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{2^3*x^3}{3^3*(y^2)^3}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^{2*3}}\\\\\left(\frac{2x}{3y^2}\right)^3 = \frac{8x^3}{27y^6}\\\\[/tex]
Either way you should get 8x^3 all over 27y^6 as one fraction.
I BET EVERYONE CAN GET THIS RIGHT BUT NOT ME
Sohan can do a piece of work in 10 days. He worked at it
for 5 days and then Mohan finished it in 5 days. In how
many days can sohan and morgan work together finish the
work?
Answer:
5 days
Step-by-step explanation:
Sohan can do the whole thing in 10 days
he worked 5 days so he did half
and Mohan did the other half in 5 days
so their speeds are same
so if they worked together they'd do it in half the time
i.e 5 days
The perimeter of a rectangle is 64 feet. The length is two more than double the width. Find the dimensions of the rectangle.
Answer:
Length = 22 ; width = 10
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter = 64 feets
Length = 2 + (2*width)
Let :
Length = l ; width = w
Perimeter = 2((2 + (2w)) + w)
64 = 2(2 + 3w)
64 = 4 + 6w
64 - 4 = 6w
60 = 6w
w = 60/6
w = 10
Width = 10
Length = 2 + (2*width) = 2 + (2*10) = 2 + 20 = 22
Find the equation of the line that is parallel to the given line and passes through the given points Y=0.1 X -2;(-4,8)
The equation is y=
Please help it’s very urgent
Answer:
y=0.1x + 8.4
I hope it will be useful.
On every three hamburgers that McDonald's makes, they use 9 pickles. What is the ratio of hamburgers to pickles in simplest form?
Answer:
3 pickles per burger lol
1:3
Step-by-step explanation:
Answer:
3:9
1:3
because we know that it is 3:9 So we have to simplify it and then 3 divided by 3 equals 1 so 9 divided by 3 is 3
x - 3/5 = 10 what would x be ?
Answer:
x = 53/5
Step-by-step explanation:
see pic
The soccer coach wants to take the team out for pizza after the game. He wishes to spend no more than $60. Large pizzas, p, cost $12 each and sodas, s, cost $1.25 each.
Answer:
i will solve it below
Step-by-step explanation:
12.00 + 1.25
13.00
60.00 - 13.00 = 47.00
your welcome
Answer:
$12p plus $1.25s≤60
Step-by-step explanation:
Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60
Question 3 please help?!!!!
Answer:
First choice, 21/50
Step-by-step explanation:
16 + 9 + 22 + 26 + 15 + 12 = 100
Out of 100 tries, 16 times landed on 1 and 26 times landed on 4, added together is 42 times it landed on either a 4 or 1 out of 100
42/100, simplify it with 2, 21/50
Simplify the algebraic expression.
–9(–8p + 12) – 6p
Answer:
66+12
Step-by-step explanation:
simplified answer
Step-by-step evaluation:
-9(-8p + 12) - 6p
-9 x -8p = 72p -9 x 12 = -108
(72p + -108) - 6p
72p + -108 - 6p
(72p + −6p) + (−108)
66p + −108
Answer:
66p−108
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school’s football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Complete Question
The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.
Part A
Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.
Part B
The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?
Answer:
[tex]p=4A-140[/tex]
[tex]T =or 62sec[/tex]
Step-by-step explanation:
From the question we are told that
The width of the field is seventy yards shorter than the length.
a) Generally the equation for width and length is given as
[tex]B=x-70[/tex]
Mathematically in finding the perimeter [tex]p[/tex] around the field
[tex]p=2(A+B)[/tex]
[tex]p=2(2A-70)[/tex]
[tex]p=4A-140[/tex]
b)Generally[tex]A=120[/tex]
Mathematically
[tex]p= 4(120) -140[/tex]
[tex]p=480-140[/tex]
[tex]p= 340[/tex]
Therefore
Yards ran by individual athlete[tex]Y[/tex]
[tex]340*5=1700\\Y=1700[/tex]
Time elapsed in a lap T
[tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]
[tex]T =or \hspace 662sec[/tex]
Which one is greater 0.05 or 0.050
They are both equal
0.05 = 0.050
Hope this helps
Answer:
equal
Step-by-step explanation:
0.05 = 0.050
Randy and Jake each have a collection of soccer
trophies, Jake has 13 fewer than twice as many
soccer trophies as Randy. When they combine
their collections, there are 35 trophies in all. How
many soccer trophies are in Jake's collection?
A. 11
B. 16
C. 19
D. 24
Answer:
Answer is 19 trust me
Step-by-step explanation:
PLEASE HURRY!!!!!!!!
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?
Answer:
d = 29/4 miles
That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles
Step-by-step explanation:
Answer:
7 1/4
Step-by-step explanation:
4 5/6 miles / 2/3 hour =
= 29/6 * 3/2 miles/hour
= (29 * 3)/(6 * 2) miles/hour
= 29/(2 * 2) miles/hour
= 29/4 mph = 7 1/4 mph
(a) A tall tree of height 60m is broken due to the strong wind. If the upper 40m
broken part of the tree touches the level ground, calculate the angle made by the
broken part with the horizontal line. Also calculate the horizontal distance
between the bottom of the tree and the point at which the broken part of the
tree touches the ground level.
Answer:
The angle is 30° and the horizontal line is 23.094 m.
Step-by-step explanation:
The angle (x):
[tex] \sin(x) = 20 \div 40[/tex]
[tex] \sin(x) = 0.5[/tex]
[tex]x = { \sin }^{ - 1} (0.5)[/tex]
[tex]x = 30[/tex]
The horizontal line (y):
[tex] \cos(30) = 20 \div y[/tex]
[tex]y \cos(30) = 20[/tex]
[tex]y = 20 \div \cos(30) [/tex]
[tex]y = 23.094[/tex]
The graphs below have the same shape What is the equation of the blue graph?
Step-by-step explanation:
C
Answer:
Guy above me is wrong, it's actually D! Hope this helps.
Step-by-step explanation:
100 points!
Can someone help me? Here are the choices
- associative property of addition
- associative property of multiplication
- commutative property of addition
- commutative property of multiplication
- distributive property
A rectangular field is 348 inches long and 7 yards wide. What is the perimeter of the field in feet? plz help me
Answer:50 feet
Step-by-step explanation:
Help ME PLSSS I WILL GIVE WHOEVER ANSWERS FIRST A BRAINLIEST!!
Mr. Mayhood had 4½ pounds of sand in a bucket. He put 2¾ pounds
of sand around his flower bed. How much sand did he have left in the
bucket?
Answer:
1 3/4 pounds.
Step-by-step explanation:
4 1/2 = 4 2/4
4 2/4 - 2 3/4 = 1 3/4
Answer:
1 [tex]\frac{3}{4}[/tex] pounds of sand is left in the bucket
Step-by-step explanation:
4.5 - 2.75 = 1.75 or 1 3/4
What is a part to whole ratio?
Answer:
a ratio that compares a selected number of parts. to the total number of parts in a whole.
Step-by-step explanation:
Find the arithmetic mean between 35 and -9?
The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?
Answer:
4.164 cm
Step-by-step explanation:
Given that:
Growth of an average human fingernail = 3.47 mm per month
One mm (millimeter) = 0.1 cm (centimeter)
To find:
Growth of an average human fingernail in one year = ?
Solution:
Here, we are given the growth for one month.
There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.
Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times
Growth in one year = 12 \times 3.47 mm = 41.64 mm
In millimeters, the growth of an average human fingernail = 41.64 mm
Let us convert it into centimeters by multiplying it with 0.1.
Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1 = 4.164 cm
A slow boat to china travels at a constant speed of 17.25 miles per hour for 200 hours. how far was the voyage?
Answer:
3450 miles
Step-by-step explanation:
Multiply the number 17.25 by 200 since the boat is traveling for 200 hours and each hour is 17.25 miles to get 3450 miles which is your answer.
Answer:
[tex]\boxed {\boxed {\sf 3,450 \ miles}}[/tex]
Step-by-step explanation:
Distance can be found by multiply the speed by the time.
[tex]d=st[/tex]
Where d is the distance, s is the speed, and t is the time.
1. Define Variables
The speed is 17.25 miles per hour and the time is 200 hours.
[tex]s= 17.25 \ mi/hr[/tex]
[tex]t= 200 \ hr[/tex]
2. Calculate Speed
Substitute the values into the formula.
[tex]d=17.25 \ mi/hr * 200 \ hr[/tex]
Multiply. The hours (hr) will cancel each other out and leave miles as the units.
[tex]d=17.25 \ mi *200\\[/tex]
[tex]d=3450 \ mi[/tex]
The voyage was 3,450 miles
Translate the following phrase into an expression:
“ the sum of an unknown number and 12”
Answer:
French: la somme d'un nombre inconnu et 12
Spanish: la suma de un número desconocido y 12
Latin: XII numerus ignotus est et summa
Step-by-step explanation: