Answer:
To make 65 chocolate drinks, she needs:
12 g of chocolate powder and 5 marshmallows per drink.
Then she needs:
12g*65 = 780 grams of chocolate powder.
We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99
If she buys 3 jars, she will have: 3*250g = 750g
So she will not have enough, then she needs to buy 4 jars.
Then in chocolate powder, she will pay 4 times £2.99 = £11.96
And for marshmallows, she needs:
65*5 = 325 in total.
Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:
325/120 = 2.7
That should be rounded up (because she can not buy a 0.7 of a bag)
Then she needs 3 bags, and each bag costs £1.45
Then the total cost in marshmallows is 3*£1.45 = £4.35
The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
Ay+ 7-3(x-4)
B Y + 1 = -3(x + 2)
Cy- 4 = 3(x + 7)
Dy - 2 - 3(x - 1)
Answer:
Option (A)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Slope of the line passing through two points (0, 5) and (4, -7),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5+7}{0-4}[/tex]
= -3
As slope of the line is negative, Options (A) and (B) will be the possible options.
Therefore, equation of the line passing through (4, -7) will be,
y - (-7) = -3(x - 4)
y + 7 = -3(x - 4)
Therefore, Option (A) will be the correct option.
Answer:
A
Step-by-step explanation:
ns
2014
x ft
Solve for
Write your answers as a simplified radical and a decimal rounded to the nearest tenth. Enter your answer
as an equation, for instance x = your answer. If the answer is an integer value, leave the simplified radical
box empty
Simplified radical:
Decimal:
A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect
Answer:
A quadratic equation for the height of an object is written as:
h(t) = a*t^2 + b*t + c
We can derivate it with respect to the time to get the velocity:
v(t) = 2*a*t + b
We can derivate it with respect to the time to get the acceleration:
a(t) = 2*a
Then:
a = half of the acceleration. (the gravitational acceleration for problems like this)
b = initial vertical velocity.
c = initial height.
In our case we have:
h(t) = -16t^2 + 44t + 3.5
-16 is half of the acceleration, we know that the gravitational acceleration is:
g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.
44 is the initial vertical velocity of the ball (44ft/s)
3.5 is the initial height. (3.5ft)
Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity
r= 5.5 = 18.2 please its not for me though but help
Answer:
What is the question? are we supposed to find something that equals r?
Plz answer if uk theses answer
Train A leaves a station 45 minutes before train B. Both trains travel in the same direction and their speeds are 36km/h and 48km/h respectively.
i) How long will it take train B to catch up with train A? ii) How far from the start were the two trains when they met
Answer:
Train B catches up with train A at 2.25 h
The two trains meet at 108 Km from the start
Step-by-step explanation:
Relative Speed
There are two trains, A and B leaving the same station. Train A leaves 45 minutes before train B at va=36 Km/h. Train B travels at vb=48 Km/h in the same direction, so they eventually meet.
i)
Calculate the head start of train A Xh, i.e. the distance it traveled in 45 minutes = 45/60=0.75 h.
[tex]X_h=36*0.75=27~Km[/tex]
When train A is 27 Km ahead, train B leaves the station. The relative speed between them is vb-ba=48 - 36 = 12 Km/h.
Thus, for train B to meet with train A, the head start must be traveled at the relative speed.
The time needed to do that is:
[tex]\displaystyle t=\frac{27~Km}{12~Km/h}[/tex]
t = 2.25 h
Train B catches up with train A at 2.25 h
ii) In the time calculated above, train B has traveled a distance of:
[tex]X_b=48~Km/h*2.25~h=108~Km[/tex]
The two trains meet at 108 Km from the start
Plz plz plz I need 546463+54543 times 64 it’s due in 4 min
Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.
After cutting a piece 1.65 m long from a piece of cable, the remaining
piece is 3.50 m long. How long was the cable originally? _____
Answer:
5.15 m
Step-by-step explanation:
To find how long the cable was originally, find the sum of the length of the piece that was cut off and the length of the remaining piece:
1.65 + 3.5 = 5.15
The cable was originally 5.15 m long.
Marking brainless!!!
Answer:
A
Step-by-step explanation:
PLS HELP ASAP, I HAVE A D IN THIS CLASS
I THINK its all real numbers like why else it there and i dont se nun that equal to 0
Step-by-step explanation:
pls help!!
A chest was resting on the ocean floor 500
feet below the surface. It was lifted to the deck of a ship 16 feet above the surface. How far was the chest lifted?
I need you to :
Define the variable
Write the equation
& The solution.
Answer:
I don't know about the variable but I believe that the equation is -500+516=16 and the solution is 16
Step-by-step explanation:
3. <JKL and <RST are complementary. m<JKL = 36° and m<RST = (x + 15)°. Find the value of x and the measure of <RST. Find the value of "x"
= 36
= 51°
= 39
= 15"
Step-by-step explanation:
=51
A $ 4.00 sales tax is charged for a $ 50.00 purchase . At this rate, what is the sales tax for a 1200.00 purchase
Sales tax for the purchase of $50 is $4
Therefore, x% of 50 = 4
(x%) 50 = 4
x/100 x 50 = 4
x/2 = 4
x = 4 x 2
x = 8
Therfore, there is a 8% sales tax on the purchase.
Sales tax on the purchase of $1200 = 8% of 1200
= 8/100 x 1200
= 8 x 12
= 96
A $96.00 sales tax is charged on a purchase of $1200.00
x
y
- 3
-11
- 2
- 8
- 1
- 5
0
- 2
1
1
2
4
3
7
Which equation below best represents the relationship between corresponding values in the table above?
y = 2x - 3
⊝
y = x + 4
⊝
y = x + 3
⊝
y = 3x - 2
⊝
Answer:
B
Step-by-step explanation:
Is this correct ? Please help me
Answer:
Median: 8
Minimum: 3
Maximum: 15
First quartile: 6
Third quartile: 12.5
Interquartile Range: 6.5
Outliers: none
Step-by-step explanation:
What is the slope and Y intercept?
Answer:
the y intercept is where is starts (up and down) slope is how much you run up, or down and how much you run
Step-by-step explanation:
For example the third croses at 5 thats the y-intercept. Know notice how you go up once and run two blocks for the slope. So the slope is 1/2x.
Answer for #3 y=1/2x+5
Note. Anytime you are running down the slope will be negative. If the line points up then its positive.
Answers should be in this form: 1) positive 2. negative 3. positive 4. negative 5. positive 6. negative
Answer:
1. slope = 4 over 2(2), y int = -8
2. slope = 2 over 3 , y int = 2
3. slope = 3 over 6(1/2), y int = 5
4. slope = 1 over 3, y int = -3
5. slope = 3 over 3(1) ,y int = 0
6. slope = 2 over 3 ,y int = -4
Step-by-step explanation:
The numbers in the () is the simplified slope version if there is no () it cannot be simplified
What are the slope and the y-intercept of the line that represents plant A's height in inches in terms of the number of weeks? (Hint: The formula
for slope is slope = rise/run, and the y-intercept is the y-coordinate when x = 0.)
Answer:
Plant A is y=2x+6
Step-by-step explanation:
Slope: 2
Y-intercept: 6
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?
Answer:
2$
Step-by-step explanation:
first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.
don't forget to add the dollar sign, it might save you points
44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)
Answer:
[tex]\frac{11}{25}[/tex]
Step-by-step explanation:
44% can also be written as a fraction: [tex]\frac{44}{100}[/tex]
To simplify this fraction, let's divide the numerator and the denominator by 4:
44/4 = 11
100/4 = 25
The simplest form of the fraction of books that are fairytales is [tex]\frac{11}{25}[/tex]
do this to get brainiest!
(click on the image to see clearly)
Answer:
8) 4(n)+12
9) 21 + 4(m) + (2(m)+7)
10) 3 (S+21)
Step-by-step explanation:
I did this quickly, hopefully they are correct. May not be the same format as you wish (especially for 9)
Lily was shopping and saw the following prices on different packages of the same item as shown in the diagram below
Answer:
Package B has a unit rate of $1.50 per bag
Step-by-step explanation:
its the correct answer if its wrong deal with it
Which division problem does the model below show?
1
1
1
1
1
1
1
1
1
8
1
8
1
6
5
1
1
1
1
1
1
1
1
6
ö
1
6
fo
-lo
1
6
Ok
Answer:
4÷1/6=24
Step-by-step explanation:
O A. 12x + 20 = 180
O B. 12x = 180
O C. 12x - 20 = 180
D. 8x - 10 = 4x + 10
Answer:
Answer B. 12x = 180
Step-by-step explanation:
Angles in a Triangle
The sum of the interior angles in a triangle is 180°.
We are given all the angles of the triangle shown in the figure, all of them as a function of x.
Since the sum is 180°:
2x + 4x + 10 + 6x - 10 = 180
Collecting like terms:
12x = 180
This is the equation to find the value of x.
Answer B. 12x = 180
17x-6+3x-5=x+11+4x simplified
Answer:
x = 22/15
Step-by-step explanation:
hope that helped
[tex] \frac{ \sqrt{7} }{ \sqrt{12 - 2 \sqrt{35} } } + \frac{ \sqrt{5} }{ \sqrt{12 + 2 \sqrt{35 } } } [/tex]
can someone help? please
Answer:
6.91607978
Step-by-step explanation:
ASAP Help!!! Will give brainiest to first correct answer!
Answer:
D:2^5/12 or 1.33483...
Step-by-step explanation:
Hope This Helps!
Answer:
I am sorry I don't Understand!
Sorry I couldn't help!
Step-by-step explanation:
Think of a situation when someone would need to make a measurement with
extreme precision. Describe the setting, why the measurement must be so
precise, and some of the consequences that might occur if it were not precise.
Answer:
a
Step-by-step explanation:
aa
After checking out some books from the school library, you step off to the side to wait for your friends to check out their books. Suddenly, the lights flicker, and a voice comes on over the intercom.
The library is closed indefinitely unless you and your friends can escape the library and open it back up for everyone to use. You must find the codes by solving the prompts. When you have all the codes, the library will be open for everyone again!
Answer:
That sounds like an awesome book idea; then you go on to explain the adventures in the library.
Step-by-step explanation:
Answer:
What are the codes....or are you just putting that out there?
Step-by-step explanation:
What number is in the tenths place in 12.75
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
THe number right after the decimal in the right side is the tenths place and 7 is the right after the right side of the decimal