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3 years ago

How many 250ml glasses can be filled with 2l of water?

Mathematics

1 answer:

aev [14]3 years ago

6 0

Answer:

8 glasses

Step-by-step explanation:

2L = 2,000 mL. 2000mL/250mL = 8 glasses

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4 to the 8th power divided by 4 to the 5th power

Natasha2012 [34]

Alright, 4 to the 8th power is 4x4x4x4x4x4x4x4 which ends up as 65,536.

4 to the 5th power is the same thing but with 5 4's and that is 1,024.

All you need to do now is 65,536/1,024 = 64.

Solved! :D

6 0

4 years ago

A package of twelve cans of the black beans cost $6.84. What is the cost of three cans of black beans?

valkas [14]

Answer:

$1.66

Step-by-step explanation:

First you need to divide $6.74 by 12 then you will get $0.55. Next you need to multiply $0.55 by 3 cans of black beans and you should get $1.66.

6 0

3 years ago

Two ships leave the same port at the same time. Two hours later ship A has traveled 12 miles and ship B has traveled 8 miles.

sashaice [31]

Answer:

the angle between their paths is 100.8°

Step-by-step explanation:

From the given information, you can construct a triangle, just like the one in the figure.

We will use the Cosine Rule which is:

c² = b² + a² - 2 b c cos(θ)

where

c = 16 miles
b = 8 miles
a = 12 miles

Therefore,

2 b c cos(θ) = b² + a² - c²

cos(θ) = (b² + a² - c²) / 2 b c

θ = cos⁻¹( (b² + a² - c²) / (2 b c) )

θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )

θ = 100.8°

Therefore, the angle between their paths is 100.8°

4 0

3 years ago

Write an equation of each line in standard form with integer coefficients. 4. y = 2.4x + 1.8

Nadusha1986 [10]

Answer:

Step-by-step explanation:

The standard form of an equation of a line:

$Ax+By=C$

We have

$4y=2.4x+1.8$

Convert

$4y=2.4x+1.8$ multiply both sides by 10

$40y=24x+18$ subtract 24x from both sides

$-24x+40y=18$ change the signs

$24x-40y=-18$ divide both sides by 2

$12x-20y=-9$

3 0

3 years ago

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

coldgirl [10]

Changing the equation into slope form: $y = mx + c$ , where $m$ is the slope [gradient] and $c$ is the y-intercept.

$2x+3y=1470$
$3y = -2x+1470$
$y= - \frac{2}{3}x+ \frac{1470}{3}$
$y=- \frac{2}{3}x+490$

The gradient is $- \frac{2}{3}$ and y-intercept is at $y=490$

Graphing $y=- \frac{2}{3}x+490$ using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
   $0 = - \frac{2}{3}x+490$
   $\frac{2}{3}x = 490$
   $2x = 1470$
   $x = \frac{1470}{2}$
   $x = 735$
So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

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

Next month's profit equation

$2x+3y=1593$

Rewriting this into slope-equation form

$3y = -2x+1593$
$y=- \frac{2}{3}+ \frac{1593}{3}$
$y= - \frac{2}{3}+531$

The gradient, $m$ , equals to $- \frac{2}{3}$
The y-intercept, $c$ , equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept.

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

A linear graph show points of (0, 300) and (450, 0)

We work out the slope:
$\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30} =- \frac{2}{3}$

Y-intercept at x = 0, so it's at y = 300

Equation $y = - \frac{2}{3}+300$

6 0

3 years ago