Answer:
Adam's share is £590
Step-by-step explanation:
Given
Return Ticket = £1460
Accommodation = £720
Car Hire = £180
Required
Determine Adam's share
First, we need to determine the total cost.
Total = Return Ticket + Accommodation + Car Hire
Total = £1460 + £720 + £180
Total = £2360
Next, is to determine the average.
[tex]Average = Total/4[/tex]
[tex]Average = 2360/4[/tex]
[tex]Average = 590[/tex]
Hence;
Adam's share is £590
which of these is the correct way to write 21000 in words?
Answer:
Twenty-one Thousand
Step-by-step explanation:
I NEEEEEEEED HEEEEEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPP PPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZ
-25=5/7x
5/7 is a fraction
Answer:
Hey! I have two answers for you. If x is next to the denominator of 7 then its −1/35 but if x is next to the whole fraction then its just -35
Step-by-step explanation:
Simplify the expression: 6+12x = ______
Please help! I would be really grateful-this is due tonight! Please answer ASAP
Answer: 6(1+2x)
Step-by-step explanation:
Factor out the six
On the way to visit my aunt, I left my house and drove 15 miles up the freeway before remembering I left my wallet at home. I immediately exited the freeway and headed back in the opposite direction toward my house. However, 3/4th of the way back, I ran out of gas and my car stopped on the side of the freeway. What is my displacement?
Answer:
3.75 miles
Step-by-step explanation:
Displacement is the shortest distance from the initial to the final position. So to calculate you do 15 - (3/4 of 15) = 3.75
Find the missing side length. Leave your answers as radicals in simplest form.
Explain the steps
Answer:
m = 5
n = 5
Step-by-step explanation:
Note that the ∑ of the interior angles of a triangle = 180°.
A square for one of the angles constitute as 90°.
This means that this is a isosceles triangle.
Note that for isosceles triangles, the sides will follow the rule of 1 , 1 , √2, in which √2 is the hypotenuse.
The hypotenuse is the side opposite of the greatest angle measurement. It is given that the hypotenuse for the given triangle is 5√2. Divide √2 from the given measurement to get the measurements for the legs:
[tex]\frac{5\sqrt{2} }{\sqrt{2} } = 5[/tex]
Again, as it is a isosceles triangle, the two sides will share the same measurement.
m = 5
n = 5
~
which expression is equivalent to 2×-17?
is it
A) -17+2×
B) -2×+17
C) -2×-17
D) 17+2×
Answer:
B because based by what I'm seeing it is the same answer to the other equation. Which is -34.
An angle is a right angle if it measures 30°.
Write the statement in if-then form.
Then identify the hypothesis and conclusion of the resulting conditional statement.
Finally, determine the truth value of the statement.
2. Write your own statement in if-then form. Then identify the hypothesis and conclusion of the resulting conditional statement.
Determine the truth value of the statement.
Write it’s converse to see if it’s true. If the converse is true, write a bi-conditional statement.
Answer:
1) If the measure of an angle is 30°, then it is a right angle
2) The hypothesis = The measure of an angle is 30°
The conclusion = It is a right angle
3) The statement is false
Step-by-step explanation:
1) The information given is that an angle is a right angle if it measures 30°
The statement in the if-then form can be presented as follows;
If the measure of an angle is 30°, then it is a right angle
2) The hypothesis = The measure of an angle is 30°
The conclusion = It is a right angle
3) Given that a right angle measures 90°, the compound statement; "If the measure of an angle is 30°, then it is a right angle" is false.
You want to determine the probability that in a litter of 5 kittens, there will be more female than male kittens. Which describes one trial of a simulation you could use to model this problem?
The trial of stimulation that can model the probability of the gender of the kittens is tossing a coin five times and count the number of heads.
What is probability?Probability simply means the chance of the occurrence of an event. It's the numerical description of how likely an event will occur.
In this case, from the complete question, the trial of stimulation that can model the probability is to toss a coin five times and count the number of heads. The gender of the kittens can be allocated to the head or tail of the coin.
This is important to determine the probability that in a litter of 5 kittens, there will be more female than male kittens.
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Lines a and b are parallel. The slope of line b is 1/3. What is the slope of line a?
Answer:
1/3
Step-by-step explanation:
Parallel lines have the same slope.
Therefore, if the slope of line b is 1/3, the slope of line a is also 1/3
Courtney has 4/15 bags of flour o use in her donut shop. each bag of flour will make 12.5 batches of doughnut . how many batches of doughnuts willcourtney be ableto make
Answer: [tex]3\frac{1}{3}[/tex]
A truck travels 0.72 km on 0.01 litre of fuel.
How many kilometres will it travel on 1 litre of fuel?
Answer:
Your Answer is below.
Step-by-step explanation:
Okay so, can setup a proportion.
0.72 km = 0.01 L
x km = 1 L
So, solve for x
x = 0.72 km x 1 L / 0.01 L = 72 km
Find the roots of the equation 9x^2-1-(3x -2)^2=0
Answer: 5/12
Step-by-step explanation:
Using the fact that cos(52) = 0.6157, find the measure of angle B if sin(B) = 0.6157.
===============================================
Work Shown:
If cos(A) = sin(B), then A+B = 90, where A & B are both acute angles in degree form.
In this case, A = 52, so,
A+B = 90
B = 90-A
B = 90-52
B = 38
Telling us that
cos(A) = cos(52) = 0.6157
sin(B) = sin(38) = 0.6157
cos(52) = sin(38)
Which model shows 764 = 4?
Teresa earns $6.25 per hour. calculate her wage for the week if she works 24 hours
Answer:
$1050
Step-by-step explanation:
6.25 x 24 = 150
150 x 7 = 1050
Answer: The answer is $1050
Step-by-step explanation: You why? Because 6.25 x 24 = 150 150 x 7 = 1050 so it's $1050
Complete the square for each expression. Write the resulting expression as a binomial squared. x^2-10x+_____
Answer:
[tex](x-5)^{2}[/tex]
Step-by-step explanation:
[tex]ax^{2} + bx + c[/tex]
Take the value for b, divide it by 2 and square it to get the value for c.
In this case, b = -10.
- 10 ÷ 2 = -5
-5^2 = 25
So x^2 - 10x +25 is your quadratic equation which is equal to
[tex](x-5)^{2}[/tex]
A pear costs $0.40 and an Apple costs $0.25. What is the total cost of p pear and a apples?
Answer:
$0.65
Step-by-step explanation:
$0.40 + $0.25 = $0.65
Answer:
0.40p+0.25a=cost
Step-by-step explanation:
Considering that every apple costs 25 cents and every pear costs 40 cents, you would multiply how many apples and or pears there are by how much they are worth and then add it to get the total cost. Due to there not being a specific total or how many apples and/or pears there are, it currently can't be solved.
Need help asap please help
Answer:
20
Step-by-step explanation:
[tex] {x}^{2} = {16}^{2} + {12}^{2} [/tex]
[tex] { x}^{2} = 256 + 144[/tex]
[tex] {x}^{2} = 400[/tex]
[tex]x = 20[/tex]
how do we calculate percentage that were increase
Answer:
here you go
Step-by-step explanation:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
NEED HELP ASAP!!!!!!!!!
Steve has 12 biscuits in a tin.
There are 7 digestive, 2 chocolate and 3 ginger biscuits.
Steve takes two biscuits at random from the tin.
Work out the probability that he chooses two different types of biscuits.
Answer:
There are two patterns to chose two different biscuits; a digestive then a chocolate or a chocolate and then a digestive.
The probability of choosing a digestive then a chocolate is as follows:
7/12 * 5/11 =0.265
The probability of choosing a chocolate then a digestive is as follows:
5/12*7/11 = 0.265
Therefore the combined probability is 0.53 or 53%
Probability of digestive and chocolate
7/12×2/11=14/132=7/66And
2/12×7/11=7/66Probability of digestive and ginger
7/12×3/11=21/132=7/44And
3/12×7/11=7/44Probability of ginger and chocolate
2/12×3/11=6/132=3/66=1/22Rosie orders dessert at the
cafe. The total bill is
$53.00. She tips the waiter
25%. How much money is
left for the waiter?
Answer:
$13.25
Step-by-step explanation:
100% = $53
÷ 4 both sides to get to 25%
25% = $13.25
Which interval on the graph could be described as linear constant?
0.5 is what percent of 20?
Answer:
2.5%
Step-by-step explanation:
Solving
Step 1: Set up an equation.
[tex]\frac{x}{100} *20=0.5[/tex]Step 2: Simplify both sides.
[tex]\frac{20}{100}x=0.5[/tex] [tex]\frac{1}{5}x=0.5[/tex] [tex]0.2x=0.5[/tex]Step 3: Divide both sides by 0.2
[tex]0.2x/0.2=0.5/0.2[/tex] [tex]x=2.5[/tex]Therefore, 0.5 is 2.5% of 20.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
X=?
0.5
total from 20
what percentage is O.5 of 20
therefore X/100*20 = 2.5
Rafael has bought 24 pounds of dog food. he feeds his dog 3/8 pounds for each meal. for how many meals will the food last?
Which polynomial is in standard form?
Step-by-step explanation:
Standard form is when the degree is in decreasing order
Second polynomial has the first term with highest exponent and second term with second highest exponent and so on
Addison has a balance of $3,450 on her credit card that has an APR of 18%. She currently pays the minimum monthly payment of $86. 25. If Addison wants to pay off her balance in 24 months, determine the monthly payments she would need to make. Choose the following modification with the least cuts to her current expenses that will allow Addison to pay off her balance in 24 months. Income Wages $2,278. 00 Expenses Rent $950. 00 Utilities $232. 45 Food/Clothes $445. 00 Entertainment $270. 00 Car $200. 00 Credit Card $86. 25 Cell Phone $77. 89 Net Income $16. 41 a. Addison can eliminate $73 from Food/Clothes and $100 from Entertainment. B. Addison can eliminate $45 from Food/Clothes and $41 from Entertainment. C. Addison can eliminate $25 from Food/Clothes and $22 from Entertainment. D. The minimum payment is enough to pay off the balance within 24 months.
Addison needs to cut $45 from Food/Clothes and $41 from Entertainment, to pay the revised monthly payment.
It is given that
Addison has a balance of $3,450 on her credit card.
APR = 18%
Current monthly payment = $86.25
She wants to choose a monthly payment for 24 months.
So for 24 months,
A revised monthly payment using formula,
[tex]M = \frac{P.\frac{R}{12}. (1+\frac{R}{12} )^N }{(1+\frac{R}{12})N -1}[/tex]
R = 0.18
P = 3450
N = 24
Revised montly payment M = $172.24
Current monthly payment = $86.25
Difference = $86
So, she needs to cut the expenses by $86
If she cut $45 from Food/Clothes and $41 from Entertainment, she can easily pay the revised monthly payment.
Therefore, Addison needs to cut $45 from Food/Clothes and $41 from Entertainment, to pay the revised monthly payment.
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Tyler painted 9/2 square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard wall?
Answer:
He would need 3/4 a gallon to paint the wall
Step-by-step explanation:
If two witches were watching two watches, which witch would watch which watch?
Answer:
Wouldn't both of the witch watch whichever watch they felt like watching?
Step-by-step explanation:
What is the width of the prism?
2 ft
w
4 ft
Volume = 24 cubic feet
Answer:
3 ft
Step-by-step explanation:
(I assumed that this was a rectangular prism based on the dimensions given, but do correct me if I assumed incorrectly.)
The formula for finding the volume of a rectangular prism is: [tex]V=w*h*l[/tex]
In this case, we already know that the volume of the prism is 24, so we can plug 24 in for V:
[tex]24=w*h*l[/tex]
We also already know the height and the length because they gave it to us, so we can plug it in as follows:
[tex]24=w*2*4[/tex]
Then we can multiply 2 and 4 on the right side:
[tex]24=w*8[/tex]
Then, to get the w alone, we can divide by 8 on both sides:
[tex]3=w[/tex]
Now that gives us that the width of the rectangular prism is 3ft.
Help me solve problem 7
Answer:
3-2r + 1 - 13
Step-by-step explanation:
3-2r + 1 - 13
Answers:
Compound inequality: 1 < x < 6Graph: Open hole at 1 and 6, shading in between (see diagram below)Interval notation: (1,6)=============================================
Work Shown:
3 < 2x+1 < 13
3-1 < 2x+1-1 < 13-1 .... subtract 1 from all sides
2 < 2x < 12
2/2 < 2x/2 < 12/2 ... divide both sides by 2
1 < x < 6
The value of x is between 1 and 6, excluding both endpoints.
Since we exclude both endpoints, the graph will have open holes at 1 and 6 on the number line. The shading is between the open holes. The graph is below.
Converting 1 < x <6 to interval notation leads to (1, 6)
The curved parenthesis in interval notation indicate "exclude the endpoint".