Andrew and Connie are both teachers at their local school. There are 15 female teachers at the school and 35 male teachers. What is the ratio of male to female teachers?

Answer:

3.5

Step-by-step explanation:

add 4

6x=21

divide by 6

x=3.5

Answer:

y = 5x.

Step-by-step explanation:

Read the table from top to bottom.  You'll see that each time x increases by 1, y increases by 5.  We know immediately that the slope of this line is m = rise/run = 5/1 = 5.

Using the first point (2, 10), we see that y = 10 when x = 2.  Fit this info into the slope-intercept form of the equation o a straight line:

y = mx + b becomes 10 = 5(2) + b, or b = 0, and the final equation is y = 5x.

Answer:

haha....The warrior code was a set of rules based on certain beliefs.

Answer:

answer = 2

Step-by-step explanation:

The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;

The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;

PLEASE HELP ME

Answer:

4

Step-by-step explanation:

Answer: 5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Thank you!

Step 1: Collect like terms.

(3[tex]y[/tex] + 2[tex]y[/tex]) + (6 − 3 − 4) + (-6[tex]y^{2}[/tex] + 7[tex]y^{2}[/tex])

Step 2: Simplify.

5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]

~I hope I helped you! :) Good luck!~

Answer:

Step-by-step explanation:

Here you go mate

step 1

3y +6+ 2y - 3 - 6y^2+ 7y^2-4  equation

step 2

3y +6+ 2y - 3 - 6y^2+ 7y^2-4  simplify

3y+6+2y+(-3)+(-6y^2+)7y^2+(-4)

step 3

3y+6+2y+(-3)+-6y^2+7y^2+(-4)  combine the terms that are alike

step 4

(-6y^2+7y^2)+(3y+2y)+(6+(-3)+(−4))

answer

y^2+5y+−1

Answer:

Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality

Let us solve the question

∵ y = [tex]\frac{1}{5}[/tex] x

→ It the same as the form of the proportional equation above

∵  [tex]\frac{1}{5}[/tex]  is a constant

∴ y is the product of x and constant

∴ y =  [tex]\frac{1}{5}[/tex] x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = [tex]\frac{1}{5}[/tex] (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = [tex]\frac{1}{5}[/tex] x

∴ k =  [tex]\frac{1}{5}[/tex]

∴ The constant of proportionality is [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex] \sf{\dfrac{5( \fbox{41} - 32)}{9} = C}[/tex]

[tex] \sf{\dfrac{5( \fbox{9})}{9} = C}[/tex]

[tex] \sf{ \dfrac{45}{9} = C}[/tex]

[tex] \sf{C = 5 }[/tex]

So,

41° F = [5]°C

Answer:

3x+2+x+4=4x+6

Step-by-step explanation:

add all the number with x and also add all the numbers without x and u will get ur answer

so the ans is 4x+6

Answer:

b, b, c

hope this helps, i can explain if needed!

Answer:

1) The second option

2) The second option

3) The third option

I did this one rather quickly so I'm hoping it's correct but pls tell me if it isn't so I can correct my mistakes

Answer:

y=ax+9−2a (i think )

Step-by-step explanation:

A straight line is represented by a linear function

The equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]

The points are given as:

(x1,y1) = (-2,1)

(x2,y2) = (2,9)

Calculate the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{9-1}{2--2}}[/tex]

[tex]\mathbf{m = \frac{8}{4}}[/tex]

[tex]\mathbf{m = 2}[/tex]

The equation in slope intercept form is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 2(x +2) + 1}[/tex]

[tex]\mathbf{y = 2x +4 + 1}[/tex]

[tex]\mathbf{y = 2x +5}[/tex]

Hence, the equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]

Read more about slope intercept form at:

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Answer:

F(C)<250

Step-by-step explanation:

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

F(X)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(C)=C/20

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

F(C)<250

:)!

Answer:

51⁰

Step-by-step explanation:

The angles are the same

Answer:

1.66666666667

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

50+40=90

40-8=32

32/2=16

x=16

Answer:

x=16

Step-by-step explanation:

since it is a right triangle it is 90 degrees so 90-50-40

than do 40=8+2x and solve for x which is 16 :)

Answer:

$154

Step-by-step explanation:

Find the rate per hour as;

if  11 hours =$242

     1 hour =?

Perform cross product as:

{$242 *1} / 11 = $22

For 7 hours the amount made will be:

7* $22 = $154

Answer:

7/12

Step-by-step explanation:

m=rise/run

The required slope of the roof is given as 7/12, as per the given conditions.

Given that,
A roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface.

The slope is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

here,
Vertical reading of rising measure by a 12-inch level = 7
horizontal reading(run measure) = 12

The slope of the roof is given as,
m = rise/ run
m = 7 / 12

Thus, the required slope of the roof is given as 7/12, as per the given conditions.

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9514 1404 393

Answer:

Step-by-step explanation:

1. The domain is the horizontal extent of the graph. The domain of the solution space extends to x=8 on the right, with x=8 not included. The appropriate description is ...

  (-∞, 8)

__

2. A suitable matrix calculator gives the solution as ...

  (2, 5, -2)

__

3. A suitable matrix calculator gives no solution. (The reduced form of the last equation is 0=1. No variable values will make this true.)

Answer:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Step-by-step explanation:

In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Assume that the significance level of the test is, α = 0.05.

The hypothesis can be defined as follows:  

H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.  

Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.  

The information provided is:

[tex]n = 510\\\hat p=0.53[/tex]

Compute the test statistic value as follows:

 [tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

    [tex]=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35[/tex]

The test statistic value is 1.35.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

 [tex]p-value=P(Z>1.35)[/tex]

                 [tex]=1-P(Z<1.35)\\=1-0.91149\\=0.08851\\\approx0.088[/tex]

p-value = 0.088 > α = 0.05.

The null hypothesis will not be rejected at 5% significance level.

Thus, there is not enough evidence to support the claim.

Conclusion:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Answer:

x = 0.71 and so on

Step-by-step explanation:

Answer:

Distribution is used from steps 1-2

They eliminate 2x by subtracting it on both sides (steps 3-4)

They eliminated 6 by subtracting it from both sides (steps 5-6)

(steps 3-6 is eliminating like-terms)

Thus this leaves the answer being x=-3

Step-by-step explanation:

Equation 3(x+2) = 2x+3 solved using distributive property and simplification, final solution is x = -3.

Let's identify the reason for each step in the solution to the equation 3(x+2) = 2x+3:

Distributive Property

The first step applies the Distributive Property,

which states that multiplying a number outside the parentheses by the terms inside the parentheses.

Here, we multiply 3 by (x+2),

3(x+2)

= 3 × x + 3 ×2

= 3x + 6

Combining Like Terms

In the second step, combine like terms on both sides of the equation.

On the left side, we have 3x, and on the right side, we have 2x.

We also have constants 6 on the left side and 3 on the right side.

3x + 6 = 2x + 3

Move Variables to One Side

To solve for 'x', we want all the terms with 'x' on one side of the equation.

Here,  move the term with 2x to the left side by subtracting 2x from both sides of the equation:

3x + 6 - 2x = 2x + 3 - 2x

Simplify

On the left side, the term 2x cancels out with the 2x on the right side, leaving us with:

x + 6 = 3

Move Constants to the Other Side

To isolate 'x', we need to get rid of the constant term on the left side.

Subtracting 6 from both sides of the equation:

x + 6 - 6 = 3 - 6

Simplify

On the left side, the +6 and -6 cancel out, leaving us with:

x = -3

Final Solution

After simplifying, find that the value of 'x' that satisfies the original equation is x = -3.

This means that if we replace 'x' with -3 in the equation, it will hold true:

3(-3 + 2) = 2(-3) + 3

-3 = -6 + 3

-3 = -3

And that's why the solution to the equation is x = -3.

Therefore, the reason required for solving the equation are distributive property and simplification which gives solution is x = -3

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Answer:

your answer would be 0.052

Answer:

42

Step-by-step explanation:

To find the amount of water in a 63-kg person you must first find the unit rate in an 84-kg person.

84 ÷ 56 = 1.5

1.5 is how much human body weight there is as a unit rate over 1-kg of water.

1.5 x 56 = 84, so this shows we are correct.

84 ÷ 1.5 = 56, so that goes even further to prove you are correct.

Now, what's the amount of water in a 63-kg person?

1.5 is the unit rate we found out was used, so it should still be proportional.

63 ÷ 1.5 = 42.

Indeed, it is proportional. You are correct.

The answer is 42.

There is 42 kg of water in a 63 kg person.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

We have,

The number of kilograms of water in a human body varies directly with the mass of the body.

This means,

W ∝ M

Where W is the kg of water and M is the mass of the body.

Now,

W = KM

W = 56 kg

M = 84 kg

So,

56 = 84K

K = 56/84

Now,

For M = 63,

W = KM

W = 56/84 x 63

W = 42

Thus,

There is 42 kg of water.

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Answer:

two of the sides are 21 m long and one of the sides is 28 m long

Answer:

[tex]its \: 11.75[/tex]

Answer:

so looks its an easy one

110 - 39 = 71

71 x 5.75 = 408.25

39 x 3.25 = 126.75

408.25 +126.75 = 535

71 burritos and 39 tacos = 535 dollars

69 burritos

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Tacos sold = 39

Burritos sold = x

Let x be the number Burritos sold

each taco sold for $3.25

each burrito sold for $5.75.

Total sell = $520

Now according to the given question,

39*3.25 + x*5.75 = 520

126.75 + 5.75x = 520

5.75x = 393.25

x = 68.39

x ≈ 69

Therefore, Justin has to sell 69 burritos to meet the requirements.

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Answer:

hee ya go (x-4)(-5x+1)=0. (x−4)(−5x+1)=0 ( x - 4 ) ( - 5 x + 1 ) = 0.

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0.

Answer:

x=4

Step-by-step explanation:

If you do 4-4 in the first one you get 0. Then the problem would look like this.

(0)(-5x+1)=0

It wouldn't matter what the next one looks like because you would multiply it by 0 which would give you 0.

(0)(-19)

0 x (-19) = 0

Answer:

she is expected to pay $288 in taxes

Step-by-step explanation:

She is expected to pay 12% of $2400, that is: 0.12 * 2400 = 288

So she is expected to pay $288 in taxes for such income.