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3 years ago

5

An art teacher makes a batch of paint by mixing 8/9 of red paint with another cup of 8/9 paint if she mixes 28 batches how many

cups of paint will she have

1 answer:

Luda [366]3 years ago

3 0

Answer:

49.5

Step-by-step explanation:

8/9+8/9=16/9 16/9x28/1=446/9 &446 divided by 9 is 49.5

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kipiarov [429]

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

b)

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

5 0

3 years ago

PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an

sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18 where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2 + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square for minimum total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

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3 years ago

The reacttimes data set has 50 observations of human reaction times to a physical stimulus. The reaction times are named times a

scoundrel [369]

Solution: The formula for mean is:

$Mean=\frac{\sum x}{n}$

Where:

$\sum x$ is the sum of given observations

$n$ is the number of observations

$\sum x=87.12$

$n=50$

$\therefore Mean =\frac{87.12}{50}= 1.74$ rounded to two decimal places

To find the median, we need to first arrange the data in ascending order but we are already given the data in ascending order.

Therefore, the median is:

$Median=\left(\frac{n+1}{2} \right)^{th} item$

$=\left(\frac{51}{2} \right)^{th} item$

$=25.5^{th} item$

$=1.52+0.5(1.54-1.52)$

$=1.52+0.01$

$=1.53$

Therefore, the median = 1.53

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3 years ago

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nika2105 [10]

Answer:

9. $\sqrt{61} \sqrt{71}$ 8 10

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Step-by-step explanation:

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3 years ago

HURRY QUICKLY PLEASE William measures the length of three sides of a building. Place the lengths in order from greatest to least

insens350 [35]

Answer:

104m, 0.096km, 2100cm

Step-by-step explanation:

0.096 kilometres = 9600

2100 cm

104m = 10400 cm

10400, 9600, 2100

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Answered by Gauthmath

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3 years ago