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frutty [35]
3 years ago
14

For each 7 mm of coloured fabric Paul uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white

fabric to coloured fabric as a ratio in its simplest form.
Mathematics
1 answer:
Grace [21]3 years ago
4 0

9514 1404 393

Answer:

  20 : 7

Step-by-step explanation:

2 cm = 20 mm, so the ratio of white to colored fabric is ...

  20 mm : 7 mm = 20 : 7

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What is the product of the rational expressions shown below? Make sure your
VikaD [51]

Answer:

5x / (x - 4)

Step-by-step explanation:

(x + 1)/(x - 4) • 5x/(x + 1)

Method 1:

Cancel out x + 1

Leaving 5x/(x - 4)

Method 2:

(x + 1)/(x - 4) • 5x/(x + 1)

Multiply numerator and denominator separately

= 5x(x + 1) / (x - 4)(x + 1)

Cancel out (x + 1) in the numerator and (x + 1) in the denominator

= 5x / (x - 4)

Therefore,

(x + 1)/(x - 4) • 5x/(x + 1) = 5x / (x - 4)

7 0
3 years ago
Find the missing factor BBB that makes the equality true.
loris [4]

Answer:21y^4= B*7y^3

B=(21y^4)/(7y^3)

B=3y

i think this is correct

4 0
3 years ago
2. If log10 x = 2, then x is<br> a. 4<br> b. 20<br> c. 100<br> d. 1000
kherson [118]

Answer:

C

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

Given

log_{10} x = 2 ⇒ x = 10² = 100 → C

8 0
3 years ago
Read 2 more answers
Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

8 0
3 years ago
Draw a rectangle that has an area of 8 s square units and a perimeter of 12 units. What are the side lengths of the rectangle?
oksano4ka [1.4K]
The sides of the rectangle should be 4,2,4,2...the perimeter would be12 and the area would be 8
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