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Kobotan [32]
2 years ago
15

What is the unit form in (2 tens 1 one) ×10

Mathematics
1 answer:
Nonamiya [84]2 years ago
6 0

we need to find the unit form in 2 tens and one multiplied with 10 .' we know that

21 is the 2 tens one

if we multiplied 21 with 10 we get 210 .

which means 21 tens are there in 210.which is the unit form of 210.

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Mrs Tan bought 4 times as many pens as notebooks and each notebook cost $8.20 more than each pen. She spent $26 more on the book
lilavasa [31]
Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20

Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4

She spent $26 more on books than on pens which means

Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26

Sinplifying it

(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104

She spent $394 which means

Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394

Simplifying it

(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576

Now, we have two equations,

(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576

Now we need to find a third equation with either x or y as the subject of any of both the previous equations.

Let's make y the subject of (2) equation

8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)

Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)

8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3

Now find the value of y by substituting the value of x in either equation, preferably (3)

y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80

Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50

8 0
3 years ago
The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of
seropon [69]

Answer:

3125 cm

Step-by-step explanation:

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.

We are given the scale of

1: 5000

This means

1 km = 5000 cm

Hence:

1 km = 5000cm

0.625 km = x cm

Cross Multiply

x cm = 0.625 × 5000 cm

x cm = 3125 cm

Therefore, the length in centimetres between the two villages is 3125cm

5 0
2 years ago
Find a point-slope form for the line with slope 1/5<br> and passing through the point (-7,-4).
Basile [38]

Answer:

y + 4 = ⅕(x + 7)  

Step-by-step explanation:

The "point-slope" form of the equation of a straight line is:

y − y₁ = m(x − x₁)

where m is the slope and (x₁, y₁) is a point on the line.

If m = ⅕ and (x₁, y₁) = (-7,  - 4), the point-slope equation is

y + 4 = ⅕(x + 7)

The Figure below shows the graph of your line and a point at (-7, -4).

6 0
3 years ago
Solve each equation.
Nostrana [21]

Answer:

13x+9=30

13x=30+9

13x=39

divide both sides by 13

x=3

12x+1=-13

12x=-13-1

12x=-14

divide both sides by 12

x=7/6

x+2+4=11

x+6=11

x=11_6

x=5

3 0
3 years ago
17. Matt sees a video game originally priced at $36. The game is on sale for 25% off. What is the sale price of
Montano1993 [528]

Answer:

It's 27

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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