Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag costs £2.99. Find the cost per gram for each bag of sugar. Round your answers to 3dp.

Answers

Answer 1

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide


Related Questions

Fill in the blank.
3 is ....% of 20​

Answers

Answer: 15%

Step-by-step explanation:

3/20×100%=15%

This is representing 20 as the whole and 3 as the part. to find 3 is how many of 20, we get 3/20, and then multiplies 100% to get the final answer as a percentage.

Hope this helps!! :)

Please let me know if you have any question

Answer: 15%

Step-by-step explanation:

3/20= .15

Move the decimal 2 times to the left to get 15%

Marcus ran a 200-meter race in 25 seconds. What is his speed in meters per second?

Answers

Answer:

200/25 = 8 meters

Step-by-step explanation:

Just take the distance of 200 m and divide it by 25 seconds.

1. How many squares would 100th case have?
2. Which case would have 289 squares?

Answers

Answer:

case 1 = 4

case 2 = 9

case 3 = 16

The results are squares.

case 100 = 10201

solution:

case 1 = 2²

case 2 = 3²

case 3 = 4²

case 100 = 101²

101² = 10201

case 17 = 289

solution:

√289 = 17.

what is 2 1\3 + 3 1\3

Answers

Answer:

The Fraction 21/3+31/3=17 1/3

Answer:

[tex]5\frac{2}{3}[/tex]

Step-by-step explanation:

2 + 3 = 51/3 + 1/3 = 2/3Put them together: 5 2/3

May I get some help? Need answer immediately thanks​

Answers

Answer:

This might help u........

5 hundreds × 10 = __50__ hundreds = __B__



Fill in blank B.

Answers

Answer:

Answer is 5000

Step-by-step explanation:

becaue when u multiple 5*100*10=5000

50*100=5000 so the answer is 5000

i need help asap please help

Answers

Answer:

2.33333333333333333 (two point repeating three)

A line segment starts at the point (2,3) and ends at the point (6,11). Find the equation of the perpendicular bisector of the segment. Demonstrate that your answer is correct. Your equation must be written in slope intercept form.​

Answers

1). Slope = (-2)

2). Midpoint = (2, -2)

3). Slope of the perpendicular bisector = (1/2)

4). Equation of perpendicular bisector will be x - 2y = 6

Step-by-step explanation:

A line segment has the endpoints at (4, -6) and (0, 2).

1). Then the slope of the given line segment will be = (y - y')/(x - x') = (2 + 6)/(0 - 4) = 8/(-4) = (-2)

2). Mid point of the line segment is given by

Therefore midpoints of the line segment will be  = (2, -2)

3). Slope of the perpendicular bisector is represented by

⇒ (-2)×m2 = (-1)

4). Now we have to find the equation of perpendicular bisector passing through (2, -2) and slope (1/2).

Since standard equation of the line will be given as y = mx + c

passes through (2, -2).

c = (-1) - 2 = -3

Finally the equation of perpendicular bisector will be

⇒ 2y = x - 6

⇒ 2y - x = -6

⇒ x - 2y = 6

what is the factored form of 4x2+23x-72​

Answers

Answer:

(4x-9) (x+8)

Step-by-step explanation:

(4x-9) (x+8) is the factored form

What is the degree for this

Answers

Answer: linear/first degree

Step-by-step explanation:

 (6-t-t^4)+(9t+t^4)

=6-t-t^4+9t+t^4

=8t+6

The degree of a polynomial is determined by the highest degree in the polynomial. The highest degree in this binomial is one, which is first degree or known as linear.

Hope this helps!! :)

Please let me know if you have any question

A store purchased a washing machine and marked it up 20% from the original cost of
$300. Then, wanting to make room for summer inventory, the store placed the washing
machine on sale for 75% off. What was the price after the discount?

Answers

Answer:

The answer is $270

Step-by-step explanation:

When the squares of two consecutive even integers are added, the sum is 244. Find
the integers.​

Answers

The integers are 10 and 12.

The square of 10 is 100, and the square of 12 is 144.

The sum of 100 and 144 is 244.

10 and 12 are both even numbers.

whats the value of the expression3-⁴

Answers

Answer:

1/81

Step-by-step explanation:

3^-4 = -81

Put this in a fraction: 1/81

Hope this helps you!



A builder needs 1,840 nails to finish a project. If the nails come in packages of 40, how many
packages should the builder purchase?
packages

Answers

Answer:

He would need 46 packs of nail

Step-by-step explanation:

1840/40

=46

x -3y -3 =0 3x-9y-2=0

Answers

Answer:

No solution.

Step-by-step explanation:

 x - 3y - 3 = 0

3x - 9y - 2=0

Multiply the first equation by - 3:

-3x + 9y + 9 = 0

Add this to the second equation:

0 + 0 + 7 = 0

0 = -7  , which is absurd so there is no solution to this system.

Find the value of 2.
A.126
B.121.5
C.117
D.63

Answers

Answer:

D

Step-by-step explanation:

The tangent- tangent angle x is half the difference of the intercepted arcs.

The sum of the 2 arcs on the circle = 360°, thus

lower arc = 360° - 243° = 117°, then

x = [tex]\frac{1}{2}[/tex] (243 - 117)° = 0.5 × 126° = 63°

1. 4x– 15 = 17 - 4x+10x
Help?

Answers

Answer:

answer:3x

Step-by-step explanation:

4x15=60

60-17=43

4x10=40

43-40=3x

Thanks for the help, question below :)

Answers

Answer:

(a) Regression Equation : x = 6.33333y + 38.6875,

(b) Test Score will be about 89.4% if student sleeps 8 hours a night

Step-by-step explanation:

Using a regression calculator your equation should be as follows, where x = test scores, and y = average sleep.

(a) Solution : x = 6.33333y + 38.6875

We can check if this equation is ' suitable ' by plugging in the value 7 for y, and expecting an outcome of around 88 percent ...

x = 6.33333(7) + 38.6875 = 44.33331 + 38.6875

= 83.02061% - this may seem a bit too off, but it is predictable

Now let's plug in 8 for y, as to calculate the percent when a student sleeps for 8 hours ...

x = 6.33333(8) + 38.6875 = 50.66664 + 38.6875

= 89.35414% ≈ 89.4%

(b) Solution : Test Score will be about 89.4%

Can you write a rule for finding the output (absolute guessing error) given the input (a guess)?

Answers

Answer:

The rule for the plotted line is [tex]y = \left | x - 50 \right |[/tex]

Step-by-step explanation:

The coordinates when y = 0, x = 50

When y = 10, x = 60

Therefore, the slope = (10 - 0)/(60 - 50) = 1

The equation in slope and intercept form is y - 10 = 1 × (x - 60)

y = x -60 + 10 = x -50

y = x - 50

Also, we have

When y = 20, x = 30

y = 10, x = 40

Therefore, the slope = (10 - 20)/(40 - 30) = -1

The equation in slope and intercept form is y - 10 = -1 × (x - 40)

y = -x + 40 + 10

y = 50 - x

Therefore, when x < 50, y = 50 - x

When x > 50, y = x - 50

Which is equivalent to [tex]y = \left | x - 50 \right |[/tex]

The rule for the plotted line is [tex]y = \left | x - 50 \right |[/tex]

A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes? in dollars

Answers

Answer:

the mark-up is $10 or 20% of the original price.

Step-by-step explanation:

This is because 60-50 is 10. And 20% or 1/5 of 50 is 10.

I need help with 14 and 15

Answers

Um they are 5757755757

If one gallon of gas costs $2.50, how many gallons of gas could you buy for $16.2

Answers

Answer:

The answer is

6 gallons

Step-by-step explanation:

In order to solve this question we use ratio and proportion.

From the question

$ 2.50 is the price of one gallon

To find the number of gallons that cost $16.2 , multiply $16.2 by one gallon and divide it by $ 2.50

That's

[tex] \frac{16.2 \times 1}{2.50} [/tex]

= 6.48

We have the final answer as

6 gallons

Hope this helps you

how many feet are in one story on the empire state building

Answers

Answer:

The building itself is 1,250 feet and 102 stories high.

Uhm what class is this for

Express area of rectangle. Answer with a polonomial in stadard form. Image of rectangle below. Please answer, i will give brainiliest.

Answers

Answer:

Area = (x² + 11x + 24)

Step-by-step explanation:

Area of the blue square with sides 'x' units = (Side)²

                                                                       = x²

Area of the pink rectangle = Length × width

                                            = 3 × (x)

                                            = 3x

Area of the orange rectangle = Length × Width

                                                 = 8 × 3

                                                 = 24

Area of the green rectangle = Length × width

                                               = (x) × 8

                                               = 8x

Now total area of the entire rectangle = x² + 3x + 24 + 8x

                                                                = (x² + 11x + 24)

Therefore, area of the entire rectangle will be a polynomial (x² + 11x + 24)

8x + 3 (x +1) = 5x - (9x – 6)

Answers

Answer:

x=1/5

Step-by-step explanation:

1/5 < that’s the answer

3 · 32 + 8 ÷ 2 − (4 + 3)

Answers

Answer:

93

Step-by-step explanation:

96+4-7=92

frirst: (4+3)=7

(8÷2)=4

3.32= 96


[tex] \frac{3}{4} |m - 2n| [/tex]
if m= -4 and n=6​

Answers

Answer:

12

Step-by-step explanation:

Simplify the Radical Expression
3V2 - V8 +4V12+53

Answers

The answer is the other one V2+13

If the one side of the rectangle is 8 ft and the other side is 3x-40, what is the area of
the rectangle?

Answers

Answer:

24x-320

Step-by-step explanation:

Area of a rectangle is length*width.

This basically means we have to multiply one of its sides with the other side.

Hence, our expression would be:

8(3x-40)

Simplify by distributing.

8*3x+8*-40

24x-320

The area of the rectangle is 24x-320.

A ship leaves Coffs Harbour and sails 320 km east. It then changes direction and sails 240 km due
north to its destination. What will the ship's bearing be from Coffs Harbour when it reaches its
destination, correct to two decimal places?

Answers

Answer:  Bearing = 41.41°

Step-by-step explanation:

[tex]\tan \theta=\dfrac{opposite}{adjacent}\\\\\\\tan \theta=\dfrac{240}{320}\\\\\\.\quad \theta=\tan^{-1}\bigg(\dfrac{240}{320}\bigg)\\\\\\.\quad \theta =48.59^o[/tex]

Bearing is measured clockwise from North (90° on a Unit Circle = bearing of 0°)

Bearing = 90° - Ф

             = 90° - 48.59°

             = 41.41°

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