MATHEMATICS HIGH SCHOOL

Barbra buys-3 boxes of eggs
1 jar of mayo costing £1.80
2 loaves of bread
she pays with a £10 note and gets £1.60 change. Barbra works out that the cost of 1 loaf of bread is £1.40 .
Is she correct? You MUST show your working out

Answers

Answer 1
Answer:

Answer:

No, Barbra is wrong as cost of 1 loaf of bread is £1.50 not $1.40.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Barbara buys 3 boxes of eggs costing £1.20 each

1 jar of mayo costing £1.80

2 loaves of bread

she pays £10 note and gets £1.60 change

Barbara works out the cost of 1 loaf of bread as £1.40.

Is she correct? You MUST show your working out.

The explanation of the answer is now given as follows:

Total cost of 3 boxes of eggs = Number of boxes of eggs bought * Price per box of egg = 3 * £1.2 = £3.60

Cost of 1 jar of mayo = £1.80

Total amount spent = Note paid - Change collected = £10 - £1.60 = £8.40

Total cost of 2 loaves of bread = Total amount spent - Total cost of 3 boxes of eggs - Cost of 1 jar of mayo = £8.40 - £3.60 - £1.80 = £3.00

Cost of 1 loaf of bread = Total cost of 2 loaves of bread / 2 = £3.00 / 2 = £1.50

Therefore, Barbra is wrong as cost of 1 loaf of bread is £1.50 not $1.40.

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The number 18.345 has five significant figures
The sum of three consecutive even integers is 108. What is the largest number?a.34 b.35 c.37 d.38
Factor completely x2 + 16.(x + 4)(x + 4) (x + 4)(x − 4) Prime (x − 4)(x − 4)
Hello. What are the vertices, foci, endpoints of the conjugate axis, and the equation of the asymptote of 7x^2-9y^2-14x+72y-200=0?
Write an equation for a line with a slope of 2/3 and passes through point (0,4) in slope intercept form.

An ice chest contains cans of apple juice, cans of grape juice, cans of orange juice, and cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of juice.

Answers

Answer:

4.9%

Step-by-step explanation:

This question is incomplete. However; it can be found on search engines. The complete question is  as follows :

An ice chest contains cans of six apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.

Solution :

In an ice chest there are different cans of juice. Among them

Number of cans of apple juice = 6

Number of cans of grape juice = 8

Number of cans of orange juice = 4

Number of cans of mango juice = 2

Total number of cans of juice = 6 + 8 + 4 + 2 = 20

Let A, B and C are the event of selecting of three cans.  The events A, B and C are dependent.

Probability of selecting three cans of juice

P = \frac{\text{number of grape cans}}{\text {total number of cans}}

P (A) = (8)/(20)

P (B) = (7)/(19)

P (B) = (6)/(18)

P = (8)/(20) × (7)/(19) × (6)/(18)

  = (336)/(6840)

  = 0.049 or 4.9%

Probability of selecting three cans of grape juice is 4.9%

A plane is flying due east in still air at 395 km/h. Suddenly, the plane is hit by wind blowing at 55 km/h toward the west. What is the resultant velocity of the plane?

Answers

The resultant velocity relative to the air is still 395 km/hr east.

The resultant velocity relative to the passengers is still zero.

The resultant velocity relative to the ground is (395 east) + (55 west) = 340 km/hr east.
the v towards the air is 395 kn/hr.
v towards passengers is 0.
so the v towards the ground is (395 kn/hr)east + (55km /hr)west = 340
hence solved
welcome :)

Suppose theta= 11pi/12. How do you use the sum identity to find the exact value of sin theta?

Answers

The better way is, first we have to find the equivalent in degrees

2\pi=360\º

(11\pi)/(12)=345\º

now we can change this value to -15\º

how do we get an angle like this?!

30\º-45\º=-15\º

then

sin(30\º-45\º)=sin(30\º)*cos(45\º)-sin(45\º)*cos(30\º)

\begin{Bmatrix}sin(30\º)&=&(1)/(2)\n\nsin(45\º)&=&cos(45\º)&=&(√(2))/(2)}\end{matrix}\n\ncos(30\º)&=&(√(3))/(2)\end{matrix}

now we replace this values

sin(-15\º)=(1)/(2)*(√(2))/(2)-(√(2))/(2)*(√(3))/(2)

sin(-15\º)=(√(2))/(4)-(√(6))/(4)

\boxed{\boxed{sin(-15\º)=sin(345\º)=(√(2)-√(6))/(4)}}

Four points, A(0, 0), B(1, 2), C(3, 1), and D(2,-1) lie in a plane. Line AD and Line BC are BEST described as ??A) skew.


B) parallel.


C) vertical.


D) concurrent.

Answers

They are best described as parallel because if you connect points AD and then connect points BC, you will get 2 lines that are parallel to each other.

Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formula. Finish Silvio’s work to find the length of side AB.What is the perimeter of quadrilateral ABCD?

15 units
17 units
18 units
20 units

Answers

AB = √(-4)² + (-3)²
AB = √ 16 + 9
AB = √ 25
AB = 5

AD = 4 ; DC = 4 ; BC = 7

Perimeter = 5 + 4 + 4 + 7 = 20 units

Answer: 20 units

Step-by-step explanation:

Sidney flew in an airplane five times during her vacation.The flights averaged 2 hours 28 minutes long The lengths of her first four flights were 2 hours 10 minutes,3 hours 20 minutes,1 hour 15 minutes,and 2 hours 40 minutes.What was the length of her last flight?

Answers

(everything broken down into minutes to solve)
130+200+75+160+x/5=148
*5
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-565
x=175
x=2 hours 55 minutes
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