Answer:
Cost of car including VAT = $17,700
Step-by-step explanation:
Given:
Cost of car without VAT = $15,000
Rate of VAT = 18%
Find:
Cost of car including VAT
Computation:
Cost of VAT = Cost of car without VAT x Rate of VAT
Cost of VAT = 15,000 x 18%
Cost of VAT = 15,000 x 18
Cost of VAT = $2,700
Cost of car including VAT = Cost of car without VAT + Cost of VAT
Cost of car including VAT = 15.000 + 2700
Cost of car including VAT = $17,700
Triangle JKL has vertices J(0, 2), K(–1, 2), and L(0, –3). What are the coordinates of the image of point J after a dilation with a scale factor of 3?
Given:
The vertices of a triangle JKL are J(0, 2), K(–1, 2), and L(0, –3).
To find:
The coordinates of the image of point J after a dilation with a scale factor of 3.
Solution:
If a figure is dilated by a scale factor of k, then
[tex](x,y)\to (kx,ky)[/tex]
The given triangle JKL dilated by a scale factor of 3. So,
[tex](x,y)\to (3x,3y)[/tex]
The coordinates of point J are J(0,2). By using the above rule, we get
[tex]J(0,2)\to J'(3(0),3(2))[/tex]
[tex]J(0,2)\to J'(0,6)[/tex]
Therefore, the coordinates of the image of point J after a dilation with a scale factor of 3 are J'(0,6).
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich and a bottle of water in your box?
Answer:
1/8 or 0.125
Step-by-step explanation:
So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..
...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."
Well, oof.
Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.
To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:
Turkey, apple and waterTurkey, orange and waterTurkey, orange and juiceTurkey, apple and juiceSame for the ham:
Ham, apple and waterHam, apple and juiceHam, orange and juiceHam, orange and waterPutting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....
..and a fruit.
Hope this helped!
If you need me to show my work, just comment me and I will attach a screenshot!
Source: N/A
A rectangular box has a base measuring a by a meters and height of b meters.
Which of the following represents the surface area of the box?
Answer:
2a(a+2b) square metres
Step-by-step explanation:
surface area of a box = 2(lw+wh+lh)
l is the length = a metres
w is the width = a mtres
h is the height = b metres
Substitute into the formula
surface area of a box = 2(a*a+ab+ab)
surface area of a box = 2(a² + 2ab)
surface area of a box = 2a(a+2b) square metres
This give sthe surface area of the box
Ira walked 20 miles last week and 22 miles this week. Raj walked 1/3 the distance that Ira walked. Write an expression for the distance Raj walked
Answer:
Multiply your pace by your distance; If your pace is 9.5 minutes per mile and you ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes
Step-by-step explanation:
multiply 3x3yand 4x3
Here,
Answer:
21
Step-by-step explanation:
Simplify:
8x4 – 3x – 7 = [?]
x=-1
Answer:
4
Step-by-step explanation:
8×(-1)⁴-3×(-1)-7=8+3-7=4
Answer:
4
Step-by-step explanation:
Substitute x = - 1 into the expression
8[tex](-1)^{4}[/tex] - 3(- 1) - 7
= 8(1) + 3 - 7
= 8 + 3 - 7
= 11 - 7
= 4
Find the area of the figure.
Answer:
89 m²
Step-by-step explanation:
Area of rectangle = 8 x 13 = 104
Area of triangle = (5 x 6) / 2 = 15
104 - 15 = 89 m²
Sadie sold 45 cupcakes, which were packed in 9 boxes. How many cupcakes were in each box?
Answer:
5 cupcakes per box
Step-by-step explanation:
45 ÷ 9 = 5
:)
Answer:
45/9 or you could say 45 divided by 9 is equal to 5 sooooo!!! 9 x 5 is equal to 45.
Step-by-step explanation:
2. A recipe uses 5 cups of water, 3 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water? Write the ratio in 2 different forms in the box. (2 points)
Answer:
3/5
cups of rice over cups of water
Step-by-step explanation:
I'm sorry I only know one way.
PLZZZ HELPP WILL REWARD BRAINLEST
Write the polynomial in standard form, name it by its number of terms, and tell its degree
2v^2-2v^3-7+7v
-3m-8-7m^2
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
(Ⅰ) 2v² - 2v³ - 7 + 7v :
Standard Form → 2v³ + 2v² + 7v - 7v
Number of terms → Four (Polynomial)
Degree of Polynomial → Highest degree 3 (Cubic)
(Ⅱ) -3m -8m -7m²
Standard Form → -7m² - 8m - 3m
Number of terms → Three (Trinomial)
Degre of Polynomial → Highest degree 2 (Quadratic)
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
HELP PLEASE ASAP!!!!!!
Answer:
a. d(x) = x
b. yes
Step-by-step explanation:
a. since c(x) = [tex]x^{2}[/tex] + 1
c(d(x)) = (d(x))^2 + 1 (replace x with d(x))
that means d(x) has to be x for c(d(x)) to equal [tex]x^{2}[/tex] + 1
b. for example if you use 2 as x, c(d(x)) will equal 5 since d(x) = 2 and [tex]2^{2}[/tex] + 1 = 5
d(c(x)) will also equal 5 because c(x) = [tex]2^{2}[/tex] + 1 = 5 and d(c(x)) = c(x) = 5
Write the slope-intercept form of the equation of the line through the given point with the given slope.
Through: (4, -3), slope=1/2
Answer:
y = 1/2x - 5
Step-by-step explanation:
y = 1/2x + b
-3 = 1/2(4) + b
-3 = 2 + b
-5 = b
The diagram shows a triangle.
What is the value of w?
Answer:
value of W=180-(115+33)
= 180-148
=32
Pumpkin seeds cost $6.00 per pound at the store. Make a T-chart and graph the proportional relationship between the number of pounds of pumpkin seeds and the total cost.
p c
1
2
3
4
Answer:
Step-by-step explanation:
1-$6
2-$12
3-$18
4-$24
Hope it helps you
A small pond contains nine catfish and two bluegill. If nine fish are caught at random, what is the probability that all of them are catfish?
Answer:
63/3465
Step-by-step explanation:
A small pond contains nine catfish and two bluegill.
Total number of fish = 9 catfish + 2 blue hill
= 11 fishes
Probability of picking one catfish = P(C) = P(9/11)
Probability of picking one bluegill = P(B) = P(2/11)
If nine fish are caught at random, the probability that all of them are catfish is calculated as:
= P(9 Catfish) = 9/11 × 8/10 × 7/9 × 6/8 × 5/7 × 4/6 × 3/5 × 2/4 × 1/3
= 362880/19958400
Further simplifying to the simplest fraction:
= 189/10395
= 63/3465
Please help! Will give branliest for correct answer !
God Bless uu!!
Answer:
solution given:
Area of triangle ABC=½b×h=½×18×21=189km²
Area of square DEFG=l²=9²=81km²
Area of rectangle DHIJ=l×b=4×13=52km²
Total area =189+81+52=322 square kilometers.
Answer:
322 sq. km
Step-by-step explanation:
the area of fig. =
(½×18×21)+(13×4)+(9×9)
= 189+52+81
= 322 sq. km
what is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters? (no links or bots please)
Answer
A=15cm²
Step-by-step explanation:
let me know if im please :)
What decision rules are the best/worst? Be able to rank the rules from worst-to-best or best-to-worst.
Answer:
NPV, IRR, payback.
Step-by-step explanation:
The best worst decision technique involves the choice modelling. In terms of the overall usefulness in the capital budgeting decisions,
-- the decision rule that is best is the NPV
-- the decision rule that is worst is payback period
The NPV capital budgeting tool provides accurate results and it also assumes cash flow can be reinvested at a discount rate.
The IRR is the second best budgeting tool where it assumes that the cash flows can be reinvested at IRR.
And the worst is the payback where it does not take into account its time value of the money and so it does not yield the correct as well as accurate results.
Therefore, ranking the rules from best to worst is : NPV, IRR, payback.
Find BC if B (8,-7) and C (-4,-2)
The volume of a cylinder is 62.8 cubic meters and the radius is 2 meters.
Find the height of the cylinder. Round to the nearest meter.
Answer:
Height: 5meters
Step-by-step explanation:
Using the formula h= V over pie/3.14r^2 = 62.8 over 3.14 times 2^2 gives us 4.99747.
A restaurant must add 15% tax to the price of a meal.
a Here are some bill totals before tax is added. Work out the bill after tax is added.
i $42.20 ii $19.50 iii $64.80
which statement is not true about the absolute value of -6?
Answer:
first statement
Step-by-step explanation:
The absolute value of - 6 is | - 6 | = | 6 | = 6
The absolute value is always positive as it is a measure of the distance from the origin to - 6 and distance is always positive.
It is not the distance between 6 and - 6 on the number line.
There are 4 brown socks and 14 blue socks in a drawer. In the dark, Jason pulls out a sock and puts it on his right foot. Then he pulls
out another sock and puts it on his left foot.
What is the probability that Jason has two brown socks on his feet?
Answer:
2/51
Step-by-step explanation:
# of brown socks = 4
# of blue socks = 14
total # of socks = 18
The probability of pulling 1 brown sock = 4/18
If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks
So after the first pull ( if it were to be a brown sock )
there would only be 3 brown socks and 17 total socks
So the probability of pulling a brown sock then would be 3/17
Finally we multiply the two probabilities to get the answer
4/18 * 3/17 = 2/51
Hence, the answer is 2/51
Rezolvați în mulțimea numerelor reale ecuația:
x+15−2x−12=x10
DAU COROANA!
-x10−x+3=0
x≈−1.1530188,1.06806865
3 x -2 x 4 x -3=
process !!!
Answer:
3 x -2 x 4 x -3 = 72.
At noon three students, Abby, Ben, and Cassie, are standing so that Abby is m west of Ben and Cassie is m east of Ben. While Ben stays in his initial position, Abby begins walking south at a constant rate of m/min and Cassie begins walking north at a constant rate of m/min. In how many minutes will the distance between Cassie and Ben be twice the distance between Abby and Ben?
Answer:
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .
A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .
solution 2
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.
In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in
minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .
Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{6}[/tex] units = g
Step-by-step explanation:
You can solve this either of the 2 ways:
#1.) Sin(60) = g/[tex]2\sqrt{2}[/tex]
=> Sin(60) * [tex]2\sqrt{2}[/tex] = g
=> [tex]\sqrt{6}[/tex] = g
#2.) Cos(30) = g/[tex]2\sqrt{2}[/tex]
=> Cos(30) * [tex]2\sqrt{2}[/tex] = g
=> [tex]\sqrt{6}[/tex] = g
Hope this helps!
Question 4: *
What are the solutions to the equation 4x2 – 52x + 169 = 121?
Answer:
1.0769
Step-by-step explanation:
multiply 4x2 to get 8
move -52x over the equal sign to make it 52x
so we get something like this: 8 + 169 = 121 + 52x
also move 121 over the equal sign to make it -121
Like this: 8 + 169 - 121 = 52x
Now when you simply, you will get 56 = 52x
Divide both sides by 52
Final answer is 1.0769
b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).
Answer:
ratio 80:250
Step-by-step explanation:
there will be less people than babies
Mrs. Johnson's baby weighed exactly 8 lbs. 3 oz. when he was born. Now, two months later, he weighs exactly 10 lbs. How much weight has he gained since he was born? State your answer in ounces.
Please answer fast!!
Answer:
The baby gained 29 oz.
Step-by-step explanation:
1 pound is equal to 16 oz (ounces).
10 pounds is equal to 10 x 16 oz = 160 oz.
8 pounds and 3 oz is equal to (8 x 16) + 3 = 128 + 3 = 131 oz.
160 oz - 131 oz = 29 oz.
The baby gained 29 oz.
If this helps please mark as brainliest