The ratio of boys to girls in the school is 2:3 if there are 600 students in school how many boys are there in the school HELP

Answer:

Step-by-step explanation:

Sum of all angles of triangle = 180

17x + 10x -5 +  50 = 180

Combine like terms

27x + 45 = 180

To find the valu of x, we have to isolate x. To isloate x

Step 1: Subtract 45 from both sides

           27x = 180 - 45

           27x = 135

Step 2: Divide both sides by 27

               x = 135/27

x = 5

When the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

The book says that it is best to cut bay shoots when they are 3.25 in long.

As it is given that the:

1 mm = 0.03937 in

To find how many millimeters long should the bay shoots be when Derek cuts them, we must convert 3.25 in to mm

From the 1 mm = 0.03937 in, we can find how many mm is there in 1 in;

[tex]\rm 1 \ in= \frac{1}{0.03937} \ mm[/tex]

To convert 3.25 in into mm, we must multiply it by 1/0.03937

= 3.25×(1/0.03937)

= 82.55 mm

Thus, when the bay shoots are 82.55 mm, Derek should cut them according to the guidebook for growing fresh herbs option (c) is correct.

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Answer:

[tex]\boxed{\sf x < -3\quad \mathrm{or}\quad \:x > -1}[/tex]

Step-by-step explanation:

[tex]\sf x^2+4x+3 > \:0[/tex]

In order to solve inequality, we need to factor the left hand side. we can use the transformation [tex]ax^2+bx+c=a(x-x_1)(x-x_2)[/tex] to factor quadratic polynomials. where  x(1) & x(2)  are the solutions of the quadratic equation  ax²+bx+c=0 .

[tex]\sf x^2+4x+3=0[/tex]

Quadratic formula:-

[tex]\boxed{\sf x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\sf a=1\\b=4\\c=3[/tex]

[tex]\sf \cfrac{-4\pm \sqrt{4^2-4\times \:1\times \:3}}{2\times \:1}[/tex] ← Calculate

[tex]\sf \sqrt{4^2-4\times \:1\times \:3}=\boxed{2}[/tex]

[tex]\sf \cfrac{-4\pm \:2}{2\times \:1}[/tex]

Now, let's Separate the solutions,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1},\:x_2=\cfrac{-4-2}{2\times \:1}[/tex]

Do the calculations,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1}=\boxed{-1}[/tex]

[tex]\sf x_2=\cfrac{-4-2}{2\times \:1}=\boxed{-3}[/tex]

[tex]\boxed{\sf x < -1\quad \mathrm{or}\quad \:x > -3}[/tex]

Answer:

Hey i believe this is the answer

Step-by-step explanation:

Take a look at the screenshot

Also Desmos graphing calculator is a big help :) It might make you a little more confident

Answer:

B

Step-by-step explanation:

-5 is less than -4 is true. it cannot be the first one because they are equal. It cannot be the third one because the absolute value of 5 (which is 5) is not greater than 7. And, it cannot be the last on because the absolute value of -5 (which is also 5) is not less than -4.

Answer:

total cost= 24.6

Step-by-step explanation:

12 ÷ 20 = 0.6 per straight line

arc 0.6 × 3/2 = 0.9

12 + 0.9 × 14

12 + 12.6 = 24.6

The required cost of the metal used in the pattern is £24.6.

Given that,
A different pattern is made using 20 straight lines and 14 arcs.
The straight lines and arcs are made from metal. 20 straight lines cost £12 cost of one straight line is cost one arc = 2 : 3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the cost of the total arcs be x,
As per the given condition,
The cost of the one straight line is 12/20 and cos if the one arc is x/14,
According to the question,
[12/20]/[x/14] = 2/3
12×14/20 = 2x / 3
x = £12.6
The total cost of a metal arc is £12.6
And the total cost of the metal line in the pattern is = £12.

Total cost of metal = 12 + 12.6 = £24.6

Thus, the required cost of the metal used in the pattern is £24.6.

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#SPJ5

The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The two cones below have the same radius, height, and volume.

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Since, Congruent cones must have congruent corresponding measures, including slant height.

The cones are not congruent because one cone is oblique, which makes the length of the slant heights different.

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Answer:

Sample Response: The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.

What did you include in your response? Check all that apply.

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Congruent cones must have congruent corresponding measures, including slant height.

Answer:

10 hours = 60 mph

you will need to go 60 mph to make the trip 10 hours

explaination:

Multiplying the amount of hours and the mph, 12 times 50 is 600 miles.

10 times 60 is 600 miles. They both have the same answer, but 60 mph is the fastest. 60 mph is how fast you would need to go to make it in 10 hours.

I dont know if i explained it good.

The function range of {y|y ≤ 5} is f(x)=-(x-4)^4+5.

Since the range has less than a sign, this means that the parabola is

facing downwards and it means that a is negative.

The range is given by

[tex]{y|y \leq k}[/tex]

[tex]f(x)=a(x-h)^2+K[/tex]

Since the range is

[tex]{y|y \leq 5},[/tex]

This means that k = 5 , and since a is negative

The correct function is

[tex]f(x)=-(x-4)^4+5[/tex]

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Answer: B: (f(x) = –(x – 4)2 + 5)

Step-by-step explanation:

Since the data-set contains outliers, the median is a better choice, and it is given of 10 ounces.

It depends if the data-set contains outliers or not.

In this problem, the weights of 4 and 5 ounces are outliers, hence the median should be used. There are 19 values, hence the median will be given by the 10th value, which is 10. Hence the median is of 10 ounces.

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Answer:

[tex] \frac{21.46}{37} = 0.58[/tex]

[tex]answer:$0.58[/tex]

Answer:

i dont see the problem but lets say you have 19*8*15

Step-by-step explanation:

19*8=152*15=2280

8*15=120*19=2280

any way you multiply them their always gonna add up to the same thing

Answer:

Ava

Step-by-step explanation:

Ava's = 100/10 = 10

Ian's = 110/20 = 5.5

Answer:

216 outcomes.

Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes

Answer:

27 hours

Step-by-step explanation:

160.65 = 8.50x-68.85

x=27

The absolute value function represented by the graph is:

y = -3*|x|

So the correct option is B.

In the graph, we can see a "V" shape, which belongs to the absolute value functions, but this graph opens down, so our function will be something like:

y = -a*|x - b|

The value of b is the value of x where we have the vertex, in this case, is at x = 0, so b = 0

y = -a*|x|

To get the value of 1, we ise one of the points that we can see on the graph. For example, for x = 1, we have y = -3, replacing that we get:

-3 = -a*|1| = -a

3 = a

So we can conclude that our function is:

y = -3*|x|

So the correct option is B.

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Answer:

No

Step-by-step explanation:

Linear equations, when graphed, look like straight lines.

Examples include:

y= mx + b

y = 3

x + 2 = 0

y + 6 = 0

y = 7x +2

solution:

3x^2+9x-5

i hope this helps

:)

Answer:

Length of slope = 15.8 yd

Step-by-step explanation:

using Pythagoras theorem,

?² = 13² + 9²

?² = 169 + 81

? = √250

? = 15.8 yd

Step-by-step explanation:

According to Pythagoras theorem ,

Hypotenuse ² = Perpendicular ² + base ²

Here , we have to find the hypotenuse

putting the known values ,

Hypotenuse² = (13yd)²+ (9yd)²

Hypotenuse² = 169+81

Hypotenuse² = 250 yd

Hypotenuse = √250 yd

Hypotenuse = 15.8 yd

Answer:

14

Step-by-step explanation:

using the formula:

(theta/360 pi r^2)-(1/2ab(the radius)sin theta)

theta is obtained by multiplying 1/4 and 360 therfore theta is 90°

Answer:

[tex]\textsf{D.}\quad\dfrac{b}{\sqrt{a^2+b^2}}[/tex]

Step-by-step explanation:

Tan trig ratio

[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]

where:

Using the given information:

[tex]\implies x=\tan^{-1}\left(\dfrac{a}{b}\right)[/tex]

[tex]\implies \tan(x)=\tan\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)[/tex]

[tex]\implies \tan(x)=\left(\dfrac{a}{b}\right)[/tex]

Comparing this with the trig ratio, we can say that:

[tex]x[/tex] is the angle opposite side [tex]a[/tex]

Cos trig ratio

[tex]\cos(x)=\sf \dfrac{A}{H}[/tex]

where:

Therefore:

[tex]\implies \cos\left(\tan^{-1}\left(\dfrac{a}{b}\right)\right)=\cos(x)= \dfrac{b}{\sqrt{a^2+b^2}}[/tex]

Answer:

15

Step-by-step explanation:

26 Inches!

10 + 3 = 13

13 + 13 = 26 (10 + 10 + 3 + 3)

congruent angles are of similar measures

congruent angles that are congruent to ∠7:

See how

From both

Similarly

And

<6 and <2 are corresponding and equal so

Answer:

y = x² + 2

y = -5/x

Step-by-step explanation:

Linear & Nonlinear Definition:

From choices:

Therefore, y = x²+2 and y = -5/x are nonlinear.

Answer:

1. Hush

Step-by-step explanation:

Answer:

The answer should be D.) Desired.

Step-by-step explanation:

The definition of soothing is "having a gently calming effect",

A.) Hush, which in most cases is negative,

B.) Flaming, does not sound gentle OR calming,

B.) Fired usually comes from a negative impact, so your answer MUST and SHOULD be, D.) Desired.

Answer:

B. plant from variety Always grow taller than plant from variety B

We will see that the fourth statement:

"-0.3*|3 + 8x| = 0.9 has no solutions."

Is the true statement.

Here we need to see which statement regarding absolute value equations is true.

Here you can see that the fourth statement is:

-0.3*|3 + 8x| = 0.9   has no solutions.

Now, if you look at the left side of the above equation, the left side will always be negative, while the right side is positive, then the equation can't have a solution.

There is no value of x that makes that equation true, so it is true that the given equation has no solutions. This is the correct statement.

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