Answer:
91.2 mg of coffee left in your system 2 hours from consumption
Step-by-step explanation:
120 x .12 = 14.4
14.4 x 2 = 28.8
120 - 28.8 = ...
91.2 mg
Question 1
Two packs of toilet rolls are available in the
supermarket 9 toilet rolls for £3.15 4 toilet rolls for £1.36
Work out which pack offers the best value for money.
Answer:
for the nine toilet pack, a toilet roll is 3.15/9 which is£0.35 while for the 4 toilet roll pack, a toilet roll is 1.36/4 which is £0.34 so the nine toilet pack gives the best value for money because a toilet roll sells for £0.35 which is £ 0.01 more than the four toilet pack
A man bought a certain number of golf balls for RM 20. If each ball has costed 20 cents less, he could have bought five more for the same money. How many golf balls did he buy?
Answer:
He bought 20 balls
Step-by-step explanation:
Cost of a certain number of golf balls = $20
Let 1 golf ball cost $x
This means number of balls bought = 20 / x
If each ball has costed 20 cents less;
Converting 20 cents to dollars = $0.2
$x - $0.2
he could have bought five more for the same money.
Number of balls = 20/x + 5
Using the formulae;
Cost of 1 ball * Number of balls bought = Amount spent
(x-0.2) (20/x + 5) = 20
Expanding the expression;
x(20/x + 5) - 0.2(20/x + 5) = 20
20 + 5x - 4/x - 1 = 20
19 + 5x - 4/x = 20
5x - 4/x = 1
Multiplying all through by x
5x^2 - 4 = x
5x^2 - x - 4 = 0
(5x + 4)(x - 1) = 0
x = 1 or -4/5
-4/5 is unrealistic hence the correct value is;
x = $1
He bought 20 balls; 20 / x = 20 / 1 = 20
The reduction in the price of each ball increases the number of balls the man can buy at RM 20.
The number of balls he bought is 20 balls.
Reasons:
The given parameters are;
The amount the man bought the golf balls = RM 20
The number of golf balls he could have bought if each ball costs 20 cents less = 5 more balls
Let the number of balls the man bought = x
Let the price of each ball be m
We have;
m × x = 20
(x + 5)·(m - 0.20) = 20
Therefore, we get;
[tex]m = \dfrac{20}{x}[/tex]
Which gives;
[tex]\left(x + 5 \right) \cdot \left(\dfrac{20}{x} - 0.20\right) = 20[/tex]
[tex]-\dfrac{\left(0.2 \cdot x^2- 19 \cdot x - 100\right)}{x} = 20[/tex]
20·x = -0.2·x² + 19·x + 100
0.2·x² + x - 100 = 0
x² + 5·x - 500 = 0
(x + 25)·(x - 20)
x = 20
The number of balls he bought, x = 20 balls
Learn more here:
https://brainly.com/question/6597326
What is the value of b in a quadratic equation when the vertex is (1,4.5)?
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement? դոր:ռռռռռռիսցերա դյուրիսիդերին դիա 56 50 51 55 57 - + 50 55 57 50 51 52 53 54 55 56 57 58 50 51 52 53 54 55 56 57 58
54 is one of the heights, so there would be a solid dot on 54. Because you need to be taller, the arrow would point to the right from the solid dot at 54 inches.
The correct graph is C ( the third one down)
The graph that represents the set of heights that satisfy this requirement is the third graph.
Which graph satisfy this requirment?The requirment is that the heights of the people who ride the roller coaster should be at least 54 inches. This means that the height of the riders can be 54, 55, 100 0r 120.
Thus the graph that represents this is the graph that has a coloured circle on 54 and extends to number greater than 54.
To learn more about the number line, please check: https://brainly.com/question/557284
Write an equation in slope-intercept form of the line that passes through the points. 0,1 and 4,2
Answer:
[tex]y=\frac{1}{4}x+1[/tex]
Step-by-step explanation:
the common formula of the required equation is:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]
if to substitute the given coordinates into the folmula above, then the required equation is:
[tex]\frac{x-0}{4-0} =\frac{y-1}{2-1};[/tex] ⇔ y-1=1/4*x; ⇔ [tex]y=\frac{1}{4} x+1.[/tex]
Sara ordered 2 slices of pizza and a 12-ounce cola and paid
$3.00. Sydney ordered 3 slices of pizza and 2 12-ounce
colas for $4.75. How much does a slice of pizza cost?
Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.
Step-by-step explanation:
Let slice of pizza cost x and a 12-ounce cola cost y.
Then Sara's order cost: 2x+y=3
and Sydney's order cost: 3x+2y=4.75
From the first equation we have: y=3-2x and put this to the second equation:
3x+2(3-2x)=4.75
3x+6-4x=4.75
x=1.25
y=3-1.25*2=0.50
Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.
What are two fractions between 1/2 and 1?
Answer:
3/4 and 10/12
Step-by-step explanation:
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it would be very much appreciated
have a nice day :)
Hep me please this is to much
Answer:
its B
Step-by-step explanation:
hope it helps
Answer:
B. 6 x 0.8
Step-by-step explanation:
It depends on the placement of the decimal point. All of the answers have 6 x 8. It's just that the decimal points are in different places each time.
For example, option A, is 6 x 8, which is 48. 48 is not equal to 4.8.
Option B, however, has 6 x 0.8. 6 x 8 = 48, and divided by 10 is 4.8. 4.8 = 4.8. This means Option B is correct.
Hope this helps :)
Please help asap. :(
3. Solve the following word problems:
(3 x 4 = 12 mark
1. Rohan has to load 2456 cartons of apples equally in 5 trucks. How many cartons will be left unloaded in
the end?
mariana bedoya sanches
Tropical Storm Enteng travels 600 miles while Tropical Depression
Gener travels 520 miles at the same time. Find the rate of each if
Enteng’s average rate is 15mph faster than Gener’s.
Solve with distance, rate & time table formula
Answer:
hurricane basics
Step-by-step explanation:
A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."
Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical
cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach
39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered
to be a hurricane.
The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane
(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).
The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and
even tropical storms) can cause substantial damage depending on what other weather features they interact with, where
they strike, and how slow they move.
Anatomy of a Hurricane
Typical hurricanes are about 300 miles wide although they can vary considerably in size.
The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.
The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.
The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of
thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.
Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large
one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.
Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.
A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence
of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.
Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult
to predict. Be prepared for changes in size, intensity, speed, and direction.
Hurricane Basics
Answer:
Answer:
hurricane basics
Step-by-step explanation:
A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."
Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical
cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach
39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered
to be a hurricane.
The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane
(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).
The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and
even tropical storms) can cause substantial damage depending on what other weather features they interact with, where
they strike, and how slow they move.
Anatomy of a Hurricane
Typical hurricanes are about 300 miles wide although they can vary considerably in size.
The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.
The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.
The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of
thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.
Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large
one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.
Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.
A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence
of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.
Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult
to predict. Be prepared for changes in size, intensity, speed, and direction.
Hurricane Basics
Step-by-step explanation:
Simplify the following:
2m x 8n
Answer:
16mn
Step-by-step explanation:
Plzz help me plz! I am very bad at math!
Answer:
D. 4 3/4
Step-by-step explanation:
1+3=4
2/4 + 1/4 = 3/4
hope it helps:)
POSSIBLE POINTS: 2
Jack had $32 to spend on 5 markers. He had $12 remaining after buying the markers. How much did each marker cost? ASAP!!!
Answer:
4
Step-by-step explanation:
Answer:
Use Photo Math
Step-by-step explanation:
Luke's baseball team went to an amusement park at the end of the season.
The cost of admission for 5 coaches and 12 players was $407.50.
The admission cost for each coach was $27.50.
What was the admission cost for each player?
A) $22.50
B) $23.97
C) $27.50
D) $31.67
A
B
С
simplify -20y+30/ -2y+6
Answer:
− 3 5 + 6
Step-by-step explanation:
p.s. give me crown please
Evaluate the given expression for x= -8.
- 3x -8
The answer is
Answer:
Substitute the value of the variable into the equation and simplify.
16
Step-by-step explanation:
Hope this helps! Have a great day!
Answer: 16
Step-by-step explanation:
[tex]- 3x -8=\\-3(-8)-8=\\24-8=\\16[/tex]
Find the second derivative of the function.
Answer
The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).
Pls help!! MARKING BRAINLIEST!!!
Answer:
1. C
2. D
3. D
4. E
5. B
6. G
7. unknown
What is an equation of the line that passes through the points (-6, -3) and
(-3, -5)?
Answer:
m= -2/3
Step-by-step explanation:
m= y2-y1/ x2-x1
m= -5-(-3)/ -3-(-6)
m= -5+3/ -3+6
m= -2/3
Solve this equation. \large \frac{2}{3}x-\frac{1}{5}x=x-1
Answer: x=−5/24
Step-by-step explanation: hope this help
Anyone have a answer for this?
Answer:
36.1 meters
Step-by-step explanation:
Since this is a rectangle, the parallel sides are equal to each other, meaning we technically already know all the side lengths.
I'll choose to look at the bottom triangle in this case
30 is already there, and the other leg should be 20. Knowing this, we can plug these into the pythagorean theorem.
20 is A, 30 is B, and the missing side is C
[tex]a^{2} + b^{2} = c^{2}\\20^{2} + 30^{2} = c^{2} \\400 + 900 = 1300 \\\sqrt{1300} = 36.06\\[/tex]
C, the missing side to the nearest tenth is 36.1 meters
Which describes the relationship between 1 and 22?
2
O 21 and 2 are complementary angles.
O 1 and 2 are equivalent angles.
O 1 and 2 are adjacent angles.
1 and 2 are supplementary angles.
Answer:
3rd circule
Step-by-step explanation:
I'm in 5th grade and need help with and
Answer:
the answer is 11046.4
Step-by-step explanation:
if u can pls can u give me brainiest
James lives 4/5 mile from the library. he has already walked 3/4 of the way.how far james walked?
Answer:
0.5 miles or 1/20 miles.
Step-by-step explanation: You need to subtract 4/5-3/4
2.109 A large industrial firm uses three local motels to provide overnight accommodations for its clients. From past experience it is known that 20% of the clients are assigned rooms at the Ramada Inn, 50% at the Sheraton, and 30% at the Lakeview Motor Lodge. If the plumbing is faulty in 5% of the rooms at the Ramada Inn, in 4% of the rooms at the Sheraton, and in 8% of the rooms at the Lakeview Motor Lodge, what is the probability that
Answer:
Step-by-step explanation:
From the given information;
Let R represent Ramadan Inn
S to represent Sheraton; &
L to represent Lakeview Motor
F to represent faulty plumbing
So;
P(R) = 0.2
P(S) = 0.5
P(L) = 0.3
P(F|R) = 0.05
P(F|S) = 0.04
P(F|L) = 0.08
Then; to find the probability there will be a client assigned to the faulty room.
i.e.
P(F) =( P(R) × P(F|R) ) + ( P(S) × P(F|S) ) + ( P(L) × P(F|L) )
P(F) = (0.2 × 0.05) + (0.5 × 0.04) + (0.3 × 0.08)
P(F) = 0.01 + 0.02 + 0.024
P(F) = 0.054
suppose an individual with a room possessing faulty plumbing was given an accomodation at Lakeview Motor
Then:
P(L|F) = P(L) × P(L|F) / P(F)
P(L|F) = 0.3 × 0.08 / 0.054
P(L|F) = 0.4444
The perimeter of this triangle is 39 feet. Solve for x, and give the side lengths of the triangle.
Answer:
x = 13 feet
Step-by-step explanation:
48.9 is 58% of what number?
Answer:
84.48
Step-by-step explanation:
Formula = Number x 100
Percent = 49 x 100
58 = 84.48
a 40.5 litre fish tank is 4/5 full. how many more litres will it take to fill the tank
Answer:
Step-by-step explanation:
1-⅘ = ⅕ of the tank remains unfilled
⅕ × 40.5L = 8.1L
Find whether the pair of linear equations y = 0 and y = -5 has no solution, unique solution
or infinitely many solutions
Answer:
infinitely many solutions
Answer:
NO SOLUTION
Step-by-step explanation: