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Rashid [163]
1 year ago
15

two rulers and one pencil cost £2.40 five rulers and one pencil cost £5.10 work out the cost of a ruler and the cost of a pencil

.
Mathematics
1 answer:
Thepotemich [5.8K]1 year ago
3 0

Answer:

Ruler: £0.90

Pencil: £0.60

Step-by-step explanation:

Ruler = x

Pencil = y

2x + y = 2.4

5x + y = 5.1

3x = 2.7

x = 0.9

y =  0.6

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A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.​
nikitadnepr [17]

Answer:

[1250,1350).

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., 1250\leq x\leq 1300     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., 1300\leq x       ...(2)

On combining (1) and (2), we get

1250\leq x < 1350

1350 is not included in the error interval for x.​

Interval notation is [1250,1350).

Therefore, the error interval for x is [1250,1350).

7 0
2 years ago
Which statements about the hyperbola are true? Check all that apply.
mariarad [96]

Answer:

True options: 1, 2 and 5

Step-by-step explanation:

From the given diagram, you can see that the center of the hyperbola is placed at the origin, so first option is true (see attached diagram for definition of center, vertices, foci, i.e.)

There are two vertices of the hyperbola, they are placed at (-6,0) and (6,0), so second option is true.

The transverse axis is the segment connecting vertices, this segment is horizontal, so option 3 is false.

The foci are not placed within the rectangular reference box, so this option is false.

The directrices are vertical lines with equations x=\pm \dfrac{a}{e}, so this option is true.

8 0
2 years ago
Read 2 more answers
Katie buy a necklace for $14.50 plus a 6% tax, Sharon buys a bracelet for $12 plus a 6%tax.
UNO [17]

Answer:

28.09 for both including taxes

Step-by-step explanation:

6% of $14.50 is $0.87. 6% of $12 is $0.72. Together the values add up to $28.09.

5 0
2 years ago
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a
Makovka662 [10]

Answer:

T=\frac{2}{3}

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

Step-by-step explanation:

We are given height function as

h=82.5sin(3\pi(t+0.5))+97.5

where

h is the height above the ground

t is the time

we can compare it with standard equation

y=Asin(B(t+C))+D

Period formula is

T=\frac{2\pi}{B}

now, we can compare and find B

B=3\pi

we can find period

T=\frac{2\pi}{3\pi}

T=\frac{2}{3}

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

5 0
2 years ago
Kari bought 3 boxes of cookies to share with a book club. Each box contains 12 cookies. The expression represents the number of
ivanzaharov [21]

<u>ANSWER:</u>

Kari bought 3 boxes of cookies to share. The algebraic expression is \frac{36}{x}

<u>Solution:</u>

Given, Kari bought 3 boxes of cookies to share with a book club.  

Each box contains 12 cookies.  

So, in total we have 3 x 12 cookies = 36 cookies.

Now, we have to find how many cookies can each person p will get.

Let, the total number of persons be x.

Then, after equally sharing the cookies,

\text { Number of cookies with each person }=\frac{\text {number } of \text { cookies available.}}{\text {total number of persons}}

=\frac{36}{x} \text { cookies. }

Hence, the algebraic expression is \frac{36}{x}

7 0
2 years ago
Read 2 more answers
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