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2 years ago

13

Four rulers and three pencils cost £2.15 Three rulers and four pencils cost £2.05 Work out the cost of a ruler and the cost of a

pencil.

1 answer:

cupoosta [38]2 years ago

4 0

Answer:

The cost if a ruler is £0.35 while the cost of a pencil is £0.25

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Write value of each digit in 167.7

Usimov [2.4K]

Answer:

no

Step-by-step explanation:

im just getting points

7 0

2 years ago

Read 2 more answers

Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed

cluponka [151]

Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

$a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour$

So, distance between the two planes after one hour will be

$Distance=\frac{Speed}{time}=\frac{230.65}{1}=230.65\ miles$

So, the distance between them is 230.65 miles.

6 0

2 years ago

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A newspaper vendor sells three papers to 135 customers, the papers are the daily times, the observer and the new Nigeria. 70 cus

IRINA_888 [86]

Answer:

3 customers brought all the three papers.

Step-by-step explanation:

Let, D, O and N represents the three newspapers.

D = The daily times

O = The observer

N = The new Nigeria.

According to the given information,

$n(D\cup O\cup N)=135, n(D)=70,n(O)=60,n(N)=50$

$n(D\cap O)=17, n(O\cap N)=15, n(D\cap N)=16$

We know that,

$n(A\cup B\cup C) = n(A) + n(B) + n(C)-n(A\cap B)-n(B\cap C)-n(C\cap A) + n(A\cap B\cap C)$

Using this formula, we get

$n(D\cup O\cup N) = n(D)+n(O) + n(N)-n(D\cap O)-n(O\cap N)-n(N\cap D) + n(D\cap O\cap N)$

$135 =70+60+50-17-15-16 +n(D\cap O\cap N)$

$135 =132+n(D\cap O\cap N)$

$135 -132=n(D\cap O\cap N)$

$3=n(D\cap O\cap N)$

Therefore, 3 customers brought all the three papers.

5 0

2 years ago

An engineer is designing an arch-shaped gate for the entrance to an amusement park. The gate must be 80 feet wide and 25 feet ta

Tom [10]

1) the form of the equation may be written as y = A(X - Xo)(X - X1)

Where Xo and X1 are the two roots of the equation.

2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40

=> y = A (X + 40) (X - 40) = A (X^2 - 1600)

3) The height, at X = 0 is 25

=> A(0 - 1600) = 25

=> -1600A = 25 => A = -25 / 1600 = - 1/64

4) The equation is y = - [1/64] (X^2 - 1600)

5) You can present it in different equivalent forms.

Some of those other forms are:

1) - 64y = (x^2 - 1600)

2) x^2 = - 64y + 1600

3) X^2 = - 64 (y - 25)

4 0

2 years ago

Ebola has an Ro of 2. How<br> many third-wave cases can<br> doctors expect?

stellarik [79]

Answer:

4 I guess

Step-by-step explanation:

Because

3-1=2

2^2=2*2=4

4 0

2 years ago