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kompoz [17]
3 years ago
5

Material for a dress costs £5.50 per metre. find the cost of 10cm and 70cm

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

Answer:

<em>The cost of 10 cm and 70 cm are  £0.55 and £3.85 respectively.</em>

Step-by-step explanation:

Material for a dress costs £5.50 per meter.

We know that,  <u>1 meter = 100 cm</u>.

Suppose, the cost of 10 cm material is x and the cost of 70 cm material is y

Now, <u>according to the ratio of "cost" to the "length of material"</u> , we will get.......

\frac{x}{10} =\frac{5.50}{100}\\ \\ 100x=10*5.50=55\\ \\ x=\frac{55}{100}=0.55

and

\frac{y}{70} =\frac{5.50}{100}\\ \\ 100y=70*5.50=385\\ \\ x=\frac{385}{100}=3.85

So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85

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NO LINKS!!! Please help fill in the blanks. Part 7a.​
inysia [295]
<h3>Answer: Check out the screenshots below.</h3>

=========================================

Explanations:

Part 1

For the first box, we use the log rule that log(A)+log(B) = log(A*B)

Then in the second box, we'll convert to exponential form. The logs are assumed to be base 10.

The third box then factors and uses the zero product property.

----------------------------

Part 2

We check each solution generated in part 1.

Plugging x = 5/3 will lead to the same number on each side. Therefore, x = 5/3 is a true solution.

In contrast, plugging x = -2 leads to a false equation. Recall that the domain of y = log(x) is x > 0. This means we cannot replace x with negative numbers. The value x = -2 is extraneous.

----------------------------

Part 3

There's not much to explain here that isn't already done so on the screenshot below.

6 0
2 years ago
ASAP I NEED HELP ON NO. 1
Furkat [3]

Answer:

B

Step-by-step explanation:

The other ones are false claims

4 0
2 years ago
) find a vector parallel to the line of intersection of the planes 5x − y − 6z = 0 and x + y + z = 1.
snow_tiger [21]
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.

Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>

We calculate the cross product as a determinant of (i,j,k) and the normal products

    i   j   k
   5 -1 -6
   1  1  1

=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>

Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0

Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
5 0
3 years ago
Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
Dmitriy789 [7]

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

8 0
3 years ago
SOMEONE PLEASE HELP ME
goldfiish [28.3K]

Answer:

First break up 72 into

36 x 2 x -1

Then take the square root of 36

6 square root 2 x -1

Finally make square root -1 = i

6i square root 2 is your answer

Step-by-step explanation:

7 0
3 years ago
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