Given our current rail fare of £16.25, we are looking for the price of the rail fare after a 5% increase.
To find the value of a 5% increase, we can multiply the rail fare by 1.05 since it is 5% added to the total value.
Or, we can multiply the rail fare by 5 and then divide by 100 to get how much will be added onto it.
Let's do both of them:
Increase: 5%
Equation: 1.05 x 16.25
1.05 x 16.25 = 17.06 rounded to the nearest cent
Rail Fare after 5% increase: £17.06
Increase: 5%
Equation: (5 x 16.25)/100
81.25/100 = .81 rounded to nearest cent
Then, we add them together.
16.25 + 81 = 17.06
Rail Fare after 5% increase: £17.06
In which function is x = 2 mapped to 32?
Answer:
x=5
Step-by-step explanation:
2^x=32 , solve for x, so x=5
E
13
12
D 5
F
cos(F)
Check
sin(F) =
Check
tan(F) =
Answer:
see explanation
Step-by-step explanation:
cos F = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FD}{EF}[/tex] = [tex]\frac{5}{13}[/tex]
sin F = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{ED}{EF}[/tex] = [tex]\frac{12}{13}[/tex]
tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{ED}{FD}[/tex] = [tex]\frac{12}{5}[/tex]
PLEASE HELP WILL MARK BRAINLIEST
Answer:
acute acute obtuse right
Step-by-step explanation:
if it is less than 90° it will be acute. it is exactly 90° it is right. it is more than 90° it is obtuse.
good luck
whats the angle measure: cos B= 0.5299
Domain and Range for the graph please
Answer:
Domain: 0 ≤ x ≤ 5
Range: 4 ≤ y ≤ -1
Step-by-step explanation:
Since the graph is not infinite and ends in two points, the domain and range are also not infinite where there is a range of numbers that the domain and range of the graph fall into. Hope this helps!!
Brianna went to the store to buy some clothes. She bought 9 pairs of pants at $20 per pair of pants, and 11 shirts that cost $15 each. Which of the following is a good estimation of how much money Brianna spent at the store?
Answer:
$345 : whichever is closest
Step-by-step explanation:
Pants were $20 each and she bought 9 of them so multiply:
9x20=180
She paid $180 for 9 pants.
Shirts cost $15 each and she bought 11 of them so Mulitply:
15x11=165
She paid $165 for 11 shirts
Add both totals from pants and shirts
165+180=$345
Answer: 350
Step-by-step explanation: I dont really now how but 345 is close to 350 and my learning app says so.I'M really bad at math but if get this questoin an Modymax than the awsnser is 350.
Please help me now plz
Answer:
[tex]\frac{4}{3} \\1.333333[/tex]
Step-by-step explanation:
a third degree binomial with a constant term of 8
Answer:
x^3+8
The polynomial given may be: x^3 + 8. One choice
Step-by-step explanation:
The polynomial given may be: x^3 + 8. One choice
x^3+8
Answer is above
Hope this helps.
Which expression is equivalent to 8a +14
Answer:
2(4a + 7)
Step-by-step explanation:
2 to the 4 and 7
This would give you 8a + 14 because 2 times 4 is 8, and 2 times 7 is 14.
Hope this helps.
Answer:
2(4a + 7)
Step-by-step explanation:
Multiply 2x 4 to make 8a. Then multiply 2 x 7 to make 14. 8a + 14.
THANKS FOR THE POINTS BTW
Solve the quadratic equation. x2+2x−8=0
Answer:
x=2 x=-4
Step-by-step explanation:
x2+2x−8=0
Step 1: Factor left side of equation.
(x−2)(x+4)=0
Step 2: Set factors equal to 0.
x−2=0 or x+4=0
x=2 or x=−4
Answer:
x=2 or x=−4
Answer:
x=2 or x=-4
Step-by-step explanation:
ax^2+bx+c=0
when solving this equation you should find two numbers that if we multiply them we get c and when we subtract them we get b so in this equation we get 2 and -4
drawing a 1, 2, or 3 from 9 cards numbered 1-9, replacing the card,
and drawing a 7, 8, or 9
1/3
3/8
C
1/9
d
1/12
Answer:
The required probability is option [tex]C)\ \dfrac{1}{9}[/tex]
Step-by-step explanation:
There are a total of 9 cards.
Total number of cases = 9
Let A be the event of choosing 1, 2 or 3.
Total number of favorable cases for event A = 3
Let B be the event of choosing 7, 8 or 9.
Total number of favorable cases for event B = 3
Formula for finding probability of an event E is:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Finding P(A), using the formula:
[tex]P(A) = \dfrac{3}{9}\\\Rightarrow \dfrac{1}{3}[/tex]
Now, it is given that the card is replaced, so again total number of cases are 9.
For finding P(B), using the formula:
[tex]P(B) = \dfrac{3}{9}\\\Rightarrow \dfrac{1}{3}[/tex]
To find the probability that events A and B both happen, we can simply multiply P(A) and P(B) because these are independent events.
[tex]\text{Required probability = }P(A) \times P(B)\\\Rightarrow \dfrac{1}{3} \times \dfrac{1}{3} \\\dfrac{1}{9}[/tex]
The center of a sphere is
Answer:
a fixed point equidistant from all points on the surface of the sphere
Step-by-step explanation:
I assume you are taking the test, so that's the answer
Justin wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 32 feet and its width is 21 feet. Suppose each pack of seed covers 12 square feet. How many packs of seed will he need to cover the backyard?
Answer:
56 pack
Step-by-step explanation:
To find the number of packs of seed needed, we will first find the area of the rectangular backyard. We're given that the length is 32 feet and the width is 21 feet.
We get the following. Area =length × width =×3221 =672 square feet So the area of the backyard is 672 square feet. Each pack of seed covers 12 square feet. So we can find the number of packs of seed needed as follows. =÷6721256 packs Thus, Justin will need 56 packs of seed.
Help Please! Some cities in Europe are thousands of years old. Often the small center of the old city is surrounded by a newer “ring road” that allows traffic to bypass the old streets. The figure shows a circular ring road and two roads that provide access to the old city. Find mCBD. FULL QUESTION IN PICTURE
Answer:
CBD = 82°
Step-by-step explanation:
From the chords relations in a circle, we have that when two chords intersects, we have the following angles:
CBF = DBE = (1/2) * (arc(CF) + arc(DE))
CBD = FBE = (1/2) * (arc(CD) + arc(EF))
So, using the second equation to find the value of the angle CBD, we have that:
CBD = (1/2) * (100 + 64)
CBD = (1/2) * 164
CBD = 82°
4 + (-6) =
-6 +(-5)=
Answer:
4 + (-6) = -2
-6 +(-5)=-11
Step-by-step explanation:
4 + (-6) = 4-6=-2
-6 +(-5)= -6-5 = -11
Please help me with this question!!
Find angle x and y.
Answer:
x= 100º
y= 260º
Step-by-step explanation:
x= 180º-42º-38º
x= 100º
y= 360º-100º
y=260º
(I'm not sure if it's right, but I hope I helped :) )
Answer:
x =80°
y = 280°
Step-by-step explanation:
Given: [tex] AB \parallel CD[/tex]
Extend segment CE in the direction of E in such a way that it intersects ray AB at point say P.
[tex]\therefore m\angle APE = m\angle ECD..(Alternate\: \angle s)\\
\because m\angle ECD = 42°\\
\therefore m\angle APE = 42°\\[/tex]
So, x° would be the exterior angle of [tex] \triangle AEP.[/tex]
Hence, by remote interior angle theorem of a triangle, we have:
[tex]x = 38° + 42°\\
\huge\purple{\boxed{x = 80° }}\\\\
y = 360\degree - 80\degree\\
\huge\red{\boxed{y= 280\degree}}[/tex]
Suppose a pyramid's dimensions are tripled. What is the ratio of this new, larger pyramid's volume to that of the
original pyramid?
Answer:
27:1
Step-by-step explanation:
If the dimensions of the original pyramid are tripled then the ration between the new, larger pyramid and the old one would be 27:1 . This can be calculated by first calculating the volume of a pyramid and then doing the same but with dimensions 3 times the old one. Then divide the volume of the new one with that of the old one.
Volume of Pyramid = [tex]\frac{length * width * height}{3}[/tex]
Volume Pyramid 1 = [tex]\frac{3*3*3}{3}[/tex] = 9
Volume Pyramid 2 = [tex]\frac{9 * 9 * 9}{3}[/tex] = 243
243/9 = 27/1 or 27:1
Answer:
The new volume is 27 times the original volume.
Edgenuty
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Which inequality can you use to find the number of cups of yogurt Monica can buy?
Answer:
1.20x + 2.5 ≤ 20
Step-by-step explanation:
This would be the best inequality to use.
How much Cups She Can Buy
x is the ammount of cups so we will solve for x
Subtract 2.5 from both sides
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Divide both sides by 1.20
1.20x/1.20 ≤ 17.5/1.20
x ≤ 14.5833...
She can buy 14 cups
Step-by-step explanation:
Step 1: Make an equation
20 ≥ 2.50 + 1.20x ← Best inequality
Step 2: Subtract 2.50 from both sides
20 - 2.50 ≥ 2.50 - 2.50 + 1.20x
17.5 ≥ 1.20x
Step 3: Divide both sides by 1.20
17.5 / 1.20 ≥ 1.20x / 1.20
14.583... ≥ x
Answer: The max amount of full yogurts that she can buy is 14
hey guys, can someone pls help me with the questions marked in red!!! will give brainliest!!!
Answer:
For y=x-3. (0,2) the equation is y=x+2
For y=3-x. (0,2) the equation is y=2-x
For y=3x+1. (0,3) the equation is y=3x+3
For y=-1/2x+4. (0,1) the equation is y=-1/2x+1
Step-by-step explanation:
How I got my answers:
First rewrite the equation to the form y=mx+bm will be the gradient and a line parallel to another has the same gradient or m.b will be the y intercept.For y=x-3: the gradient is 1 because we do not have anything before x.
For the points given for example (0,2) x is zero and y-intercept is 2. same for the rest of the points.
Now you can write your equation in the form y=mx+b
where m is your gradient, and b is the y point. So you say y=1x+2 for the first one. Do the same for the rest. Remember 1x is the same as x so you can leave out 1.
You can comment if you did not understand my explanation because this explained how you can do it.
correct answers only!
To the nearest cent, how much will she have in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$13,260
Step-by-step explanation:
B = 3000(1 + 0.14)t = 3(1.14)t
Plugging in 3 for t, we get B = 3000 * 1.14 * 3 = 10,260. This is just the interest though. We still have to add back the original $3,000, and when we do so, we get 3000 + 10260 = $13,260. Hope this helps!
Answer:
4444.63
Step-by-step explanation:
B = 3000(1 +0.14)^3
B = 3000(1.14)^3
B =4444.632 or 4444.63
A circle has a radius of 9. An arc in this circle has a central angle of 120°.
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for 1 and enter your answer as a decimal.
120
9
Answer:
6pi or 18.84
Step-by-step explanation:
120/360 times 2 pi 9
120/360 = 1/3
2 times 9 = 18
18 times 1/3 equals 6
Please help fast will give brainliest
Answer:
b
Step-by-step explanation:
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
Answer:
he played around 20 games
Answer:20
Step-by-step explanation:
N\A
Write an equation to represent the following statement.
The sum of j and 47 is 55
.
Answer:
j + 47 = 53
Step-by-step explanation:
I know this is like the 700th question I've asked
Answer:
BC = 15
Step-by-step explanation:
Because of parallel lines, AD and BE, triangles ADC and BEC are similar.
In similar triangles, the lengths of corresponding sides are proportional.
AC/BC = DC/EC
We see that AC = AB + BC = 3 + BC
Also, DC = DE + EC = 2 + 10 = 12
(3 + BC)/BC = 12/10
(3 + BC)/BC = 6/5
Cross multiply.
5(3 + BC) = 6BC
15 + 5BC = 6BC
15 = BC
BC = 15
Do question 9 for 18 points.
Answer:
yes
no
yes
yes
no
no
yes
no
yes
yes
sry if I am wrong
The fractions 4/7 and x/21 are equivalent fractions. What is the value of x ?
Answer:
The value of x is 12
Step-by-step explanation:
4x3=12
7x3=21
Therefore 12/21
To explain further:
If you divide 12 by 3 you get 4
If you divide 21 by 3 you get 7
Therefore resulting to 4/7
(I found out that the number three goes in both numbers to begin with)
Is this clearer?
Which equation represents the circle shown?
Answer:
A. i think
Step-by-step explanation:
because it can't be E. (there is no 3 in-between the circle) And it can't be D. Because there isn't a 16 inbetween the circle and plus etc! and it could be C. also, because it is 4 and 4 is in-between the circle but, the difference between the answer A and C is the plus sign or the minus sign so let's think about that, it could be A or C............A. says (x-3)2 + (y-3)2=4 that seems correct and C. says (x+3)2 + (y+3)2 = 4.......we do not add in this case so it is definitely A. :)
Answer:
(x − 3)2 + (y − 3)2 = 4
Step-by-step explanation:
joe buys groceries for his grandfather the groceries cost $42 plus 5% tax joe wants to know the total cost of the groceries including tax how much sales tax does joe pay on the groceries
its on iready
====================================================
Work Shown:
5% = 5/100 = 0.05
5% of 42 = 0.05*42 = 2.10
tax = $2.10
total cost including tax = $42 + $2.10 = $44.10
----------
An alternative is to multiply 42 by 1.05 to get
1.05*42 = 44.10
We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.
A game is played using two spinners. Spinner A has four sections labelled 2, 4, 6, 8 and Spinner B has labelled 1, 3, 5. Players spin both spinners and add the numbers together. B) the game is used in a school to raise money for charity. Each player plays 20p to play the game. To win a lolly pop you have to score a 7 exactly, and each of these lolly pops costs the school 30p. How much should the school expect to raise if 120 kids play the game ?
Answer:
1500p
Step-by-step explanation:
The spinner A has 4 possible values, and the spinner B has 3 possible values, so the total number of possibilities for both spinners is the product of these number of possibilities:
4 * 3 = 12
From these 12 possible pair of values, the ones that give a sum of 7 are:
(6,1), (4,3) and (2,5).
We have 3 cases where the sum is 7, so the probability of having a sum of 7 is 3/12 = 25%. Therefore, the probability of not having a sum of 7 is 75%
To find the expected value, we multiply the probability of each case by the value it would give. If the player wins, the school loses 10p (the player paid 20p and earned 30p), and if the player loses, the school wins 20p. So the expected value of 120 games is:
120 * (0.25 * (-10) + 0.75 * (20)) = 1500p