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m_a_m_a [10]
4 years ago
5

Solve the inequality -4y+6<-4

Mathematics
1 answer:
svet-max [94.6K]4 years ago
4 0

Answer:

y = 5/2

Step-by-step explanation:

-4y+6<-4 subtract 6 from both sides

-4y + 6 - 6 < -4 - 6 = -4y < -10 since both sides are negative we multiply it by -1 and get ➡ 4y < 10

Now divide both sides by 4

4y ÷ 4 < 10 ÷ 4 ➡ y < 5/2

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For each 11 mm of coloured fabric Nick uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white
defon

Answer:

The amount of white fabric to coloured fabric as a ratio is 20:11

Step-by-step explanation:

We are given that For each 11 mm of colored fabric Nick uses to make his curtains, he also uses 2 cm of white fabric.

Length of colored fabric = 11 mm

Length of White fabric = 2 cm

1 cm = 10 mm

2 cm = 20 mm

So, length of white fabric = 20 mm

So, Ratio of the amount of white fabric to coloured fabric = \frac{20}{11}

Hence the amount of white fabric to coloured fabric as a ratio is 20:11

3 0
3 years ago
A miniature quadcopter is located at xi = −1.75 m and yi = −5.70 m at t = 0 and moves with an average velocity having components
Black_prince [1.1K]

The quadcopter's average velocity is given in terms of change in position by

\vec v_{\rm av}=\dfrac{\Delta x}{\Delta t}\,\vec\imath+\dfrac{\Delta y}{\Delta t}\,\vec\jmath

where \Delta x=x_f-x_i, the difference in the quadcopter's final and initial positions and \Delta t=(1.60-0)\,\mathrm s=1.60\,\mathrm s.

The x-component of the average velocity is 2.70 m/s, so

2.70\dfrac{\rm m}{\rm s}=\dfrac{x_f-(-1.75\,\mathrm m)}{1.60\,\rm s}\implies \boxed{x_f=2.57\,\mathrm m}

and the y-component is -2.50 m/s, so

-2.50\dfrac{\rm m}{\rm s}=\dfrac{y_f-(-5.70\,\mathrm m)}{1.60\,\rm s}\implies\boxed{y_f=-9.70\,\mathrm m}

4 0
3 years ago
What is the solution to this equation?<br><br> 8x - 5 (x-3) = 18
Kaylis [27]

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

3 0
3 years ago
What is the value of x
kozerog [31]

Answer:


Step-by-step explanation:

If the upper triangle has a right angle at Island C, we need only use the Pythagorean Theorem to find x:

(10 mi)^2 + (20 mi)^2 = x^2, so that

x^2 = 100 mi^2 + 400 mi^2 = 500 mi^2, which reduces to

x = +10√5 mi

Note that the shortest side (10 mi) is adjacent to a 30 degree angle.  Thus, the upper triangle is a 30-60-90 triangle, meaning that the Pythagorean Theorem DOES apply here.

Next time, please incude ALL of the verbal instructions.  Thank you.

6 0
3 years ago
How to write a decimal number in two hundred ten thousand, fifty and nineteen hundredth
Vladimir [108]
Two hundred ten thousand and fifty is written as 210,050

Nineteen-hundredths is written as 19/100 or 0.19

So, the whole number is written as 210050.19 


3 0
4 years ago
Read 2 more answers
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