there are 200 students in a school the ratio of girls to boys is 2:3 how many boys are there.​

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

Answer:

Step-by-step explanation:

Triangle  area adds up to 180.

65 + 65 + 50 = 180

x=65

Answer:

0.006%

Step-by-step explanation:

minused old price from the new one and then divided the answer by the old price

Answer:

620. 0.25 x 620 = 155

Answer:

60cm

Step-by-step explanation:

radius of 3 ×2=6

6 is your diamiter

6×10=60your answer

Answer:

x^2-2x-48

Step-by-step explanation:

FOIL

Firsts = x*x = x^2

outside = x*-6 = -6x

inside = 8*x = 8x

lasts = 8*-6 = -48

add all together x^2-6x+8x-48 = x^2-2x-48

Answer:

x² + 2x - 48

Step-by-step explanation:

( x + 8 ) ( x - 6 )

=  x ( x - 6 ) + 8 ( x - 6 )

= x*x - 6*x + 8*x + 8*( - 6 )

= x² - 6x + 8x  - 48

= x² + 2x - 48

Answer:

24 cm

Step-by-step explanation:

10 + 1 + 4 + 2 + 1 + 6 = 24 cm

Hope this helps

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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If the size of matrix "M" is 9×10, and a scalar "c" is multiplied by matrix, then the size of "cM"  will be 9×10.

We know that when a scalar is multiplied to a matrix, each element of the matrix gets multiplied by that scalar.

In this case, the scalar "c" is multiplied with the Matrix "M";

So if a scalar "c" is multiplied by a matrix "M" of size 9×10, then the resulting matrix "cM" will also have the same number of rows and columns as the original matrix "M".

Therefore, the size of "cM" will also be 9×10.

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Answer:

D - 8x^2 - 2x + 1

Step-by-step explanation:

This is only if your questions is actually (3x^2 + 2x - 4) + (5x^2 - 4x + 5)

It really helps if you put the ^# so they know its meant to be an exponent

The angle between 0 degrees and 360 degrees that is coterminal with -240 is 120 degrees

Two angles in standard position are called coterminal angles if they have the same terminal side.

When 360 degrees is added to a given angle or when 360 degrees is subtracted from a given angle, we get an angle that is coterminal with the given angle.

Now,

We are to determine an angle between 0 degrees and 360 degrees that is coterminal with -240

To do this, we will add 360 degrees to the given angle

That is,

-240° + 360° = 120°

Hence, the angle is 120 degrees.

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Answer:

she spent $137.41

Step-by-step explanation:

175 - 37.59 = $137.41

Answer:

0/5 equals zero as anything divided by zero gives zero. However 5/0 is an undetermined form which gives infinity.

Step-by-step explanation:

Answer:

VU = 15, SU = 21.21 or 15\(\sqrt{2}\), TV = 21.21 or 15\(\sqrt{2}\), and SW = 10.6 or \(\frac{15\sqrt{2} }{2}\).

Step-by-step explanation:

VU = 15 by the properties of a square.

To find SU and TV we need to use the rule: the diagonal for a square of side length s is: (√2)s

Then the diagonals for our square are: TV = SU = (√2)*15 = 21.2

SW is just the diagonal divided by 2, so SW = 10.6

The other answers are in radical form, but you can put either the number or radical version.

Answer:

The answer is below

Step-by-step explanation:

Chancellor Manufacturing makes two pumps for use in household reef aquariums. The Standard pump (Model A) requires 4.5 lbs of stainless steel while the Deluxe lightweight pump (Model B) 3.0 lbs of stainless steel. There are 63 lbs of stainless steel available during this production period. The combined production of both pumps must be at least 12 pumps. There are orders for at least 6 of the lightweight Model B. Lastly, management has decided that no more than 15 Model B pumps be produced.

The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210.

Solution:

a) Let x represent model pump A and let y represent model pump B.

Since There are 63 lbs of stainless steel available, hence:

4.5x + 3y ≤ 63

Both pumps must be at least 12 pumps. Therefore:

x + y ≤ 12

There are orders for at least 6 of the lightweight Model B:

y ≥ 6

Also,  no more than 15 Model B pumps be produced:

y ≤ 15

The cost to produce one Standard pump is $150 and to produce one Deluxe pump is $210. The cost equation is:

Minimize Cost = 150x + 210y

b)

Hence the LP formation is:

Minimize Cost = 150x + 210y

4.5x + 3y ≤ 63

x + y ≤ 12

y ≥ 6

y ≤ 15

x ≥ 0.

c) The LP problem was solved using geogebra online graphing tool.

The points that satisfy the problem are:

(0, 6), (0,12), (6, 6)

At (0,6); cost = 150(0) + 210(6) = 1260

At (0,6); cost = 150(0) + 210(12) = 2520

At (6,6); cost = 150(6) + 210(6) = 2160

Hence the minimum cost is at (0, 6)

Answer:

to find the behaviour you can of course use an graph by help of demos but with the theory

in first scenario it's showing a maximum point

and in second it is an inflation point or it intercsect the y axis (y intercept)

Answer:

4%

Step-by-step explanation:

Step-by-step explanation:

change it in meter and solve it

Answer:

C

Step-by-step explanation:

=1/7 X 100

=14.3

I hope this helps a bit

The scenario that will bring about a type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15

It should be noted that a type II error simply describes the error that occurs when the individual fails to reject a null hypothesis.

From the complete question, type II error will be when the true mean is 405 ppm and he uses a significance level of 0.15. In this case, the null hyothesis was not rejected.

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Answer:

Step-by-step explanation:

The coordinates after the translation, in step 1, are given as follows:

The coordinates after the reflection, in step 2, are given as follows:

For the translation defined by the vector (-4,-4), the rule is given as follows:

(x,y) -> (x - 4, y - 4).

That is, 4 is subtracted from each of the coordinates.

For the reflection over y = x, the rule is given as follows:

(x,y) -> (y,x).

Meaning that the coordinates are exchanged.

The rules are applied for each vertex for the transformation.

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Answer:

C. 451

Step-by-step explanation:

426 - 285 = 141

141 + 310 = 451

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.

Answer:

1. Its about 14.90697674418605. I’m not sure if u want it rounded up if u want it rounded up to the nearest whole it would be 15 if I wanted it rounded up to the nearest tenth then it would be 14.9

2. It’s about 173.4814814814815. I wasn’t sure if I wanted this one rounded up too. Rounded up to the nearest whole it would be 173 and rounded up to the nearest tenth it would be 173.5

3. It’s about 100.859375. I wasn’t sure on this one too. Rounded up to the nearest whole would be 101 and rounded up to the nearest tenth it would be 100.9

Step-by-step explanation:

Answer:

120 students are predicted to like chocolate chip ice cream best.

Step-by-step explanation:

40% = 0.4

Multiply 300 by 0.4 to get 40% of 300.

300 × 0.4 = 120