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Anna71 [15]
3 years ago
8

Mrs. Thomas bought a bed for $1,548 and three armchairs. The bed cost 4 times as much as one armchair. How much did Mrs. Thomas

spend altogether?
Mathematics
2 answers:
Mama L [17]3 years ago
8 0
6,192 I did this by multiplying
Aleks [24]3 years ago
5 0
The total amount that Mrs. Thomas spent, is $2709.

Divide the price of the bed by 4. 
$1548 ÷ 4 = $387
The price of one armchair costs $387.
Multiply the cost of the armchair by how many armchairs Mrs. Thomas bought.
$387 x 3 = $1161
Add the price of three armchairs to the price of the bed.
$1548 + $1161 = $2709
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The vector ab has a magnitude of 20 units and is parallel to the<br> vector 4i + 3j.<br> find ab.
stepladder [879]

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j. Hence, The vector AB is 16i + 12j.

<h3>How to find the vector?</h3>

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

Given;

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j.

magnitude

\sqrt{4^2 + 3^2} \\\\\sqrt{16 + 9} \\\\= 5

Unit vector in direction of resultant = (4i + 3j) / 5

Vector of magnitude 20 unit in direction of the resultant

= 20  x (4i + 3j) / 5

= 4 x (4i + 3j)

= 16i + 12j

Hence, The vector AB is 16i + 12j.

Learn more about vectors;

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2 years ago
1. If the length of a rectangle is 6 more than its width, and its perimeter is 48
Salsk061 [2.6K]

For this case we have that by definition, the perimeter of the rectangle is given by:

P = 2w + 2L

Where:

W: Is the width of the rectangle

L: is the length of the rectangle

According to the data we have:

L = 6 + w\\P = 48

Substituting:

48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9

So, the width of the rectangle is 9 inches

L = 6 + 9 = 15

So, the length of the rectangle is 15 inches

Answer:

the width of the rectangle is 9 inches

the length of the rectangle is 15 inches

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Answer:

A = π(7x + 3)² cm²

Step-by-step explanation:

A = πr² is the appropriate equation.  If r = 7x + 3 cm, then the area of this particular circle is:

A = π(7x + 3)² cm²

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3 years ago
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sertanlavr [38]
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