The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many more boys than girls are there?

Answer:

The answer would be line be because it goes down 2 and forward one.

Answer:

112

Step-by-step explanation:

srry. i meant to put 112 erlier

Answer:

Slope= 15

Hope this helps! :)

Answer:

The function [tex]f(x)=x^3+\mathbf{1}x^2-\mathbf{17}x+\mathbf{15}[/tex]

Step-by-step explanation:

We have the polynomial having zeros 1,3,-5

We can write them as:

x=1,x=3,x=-5

or

x-1=0, x-3=0,x+5=0

Multiplying all terms:

[tex](x-1)(x-3)(x+5)\\=(x(x-3)-1(x-3))(x+5)\\=(x^2-3x-1x+3)(x+5)\\=(x^2-4x+3)(x+5)\\=(x^2-4x+3)+5(x^2-4x+3)\\=^3-4x^2+3x+5x^2-20x+15\\=x^3-4x^2+5x^2+3x-20x+15\\=x^3+x^2-17x+15[/tex]

So, The function [tex]f(x)=x^3+\mathbf{1}x^2-\mathbf{17}x+\mathbf{15}[/tex]

Let, speed of 1st bicyclist is x.

So, speed of 2nd bicyclist is x-3 .

We know, relative speed when two objects moves towards each other :

[tex]v = x + ( x-3 )\\\\v = 2x - 3[/tex]

Now, distance travelled in 3 hours is (98-2) miles .

So,

[tex]2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph[/tex]

Therefore, speed of bikes are 17.5 mph and 14.5 mph.

Hence, this is the required solution.

Answer:

g = 1/2

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

9 + 3.5g = 11 - 0.5g

Step 2: Solve for g

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Here we see that 10.75 does indeed equal 10.75.

∴ g = 1/2 is a solution of the equation.

Answer: g= 0.5

Step-by-step explanation:

Add

3.5g and 0.5g. to get

9+4g=11

then subtract 9 from the 11 and you should get 4g=2.

then divide 4 from 2 and you should get the answer of 2/4.

simplify it and you should get the answer g=0.5

Answer:

Width of rectangular piece = x = 8 inches

Step-by-step explanation:

Perimeter of rectangular piece = 62 inches

Let width of rectangular piece= x

and length of rectangular piece = x+15

We need to find width i.e value of x

The formula used for perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]

Putting values in formula and finding Width:

[tex]Perimeter=2(Length+Width)\\\\62=2(x+x+15)\\62=2(2x+15)\\62=4x+30\\62-30=4x\\4x=32\\x=\frac{32}{4}\\x=8[/tex]

After solving we get value of x = 8

So, Width of rectangular piece = x = 8 inches

Answer:

Between -0.75 and 2/3 thirds.

Step-by-step explanation:

Given that:

A list of three numbers.

2/3 thirds, 1.75 and −0.75

Let us convert them all in decimal points.

0.67, 1.75 and -0.75.

Now, let us sort them in the ascending order.

-0.75, 0.67, 1.75

Looking at the given number to be placed: [tex]\frac{1}{4}[/tex] which is equal to 0.25

Now, let us place them on a number line.

We can clearly see that the given number will be between -0.75 and 2/3 thirds.

Kindly have a look at the answer area for the attached image containing the number line for the list of numbers and the given number.

Answer:

All options

Step-by-step explanation:

In each option, the left and right side of the equation are identical, meaning whatever values that [tex]x[/tex] take will result in the left and right side of the equation to be equal. This means that the equation will have infinitely many solutions.

Hope this helps :)

Answer:

2

Step-by-step explanation:

Really doesnt need more explanation

Answer:

Y = 4

Step-by-step explanation:

9×4+4=40

7×4+12=40

Answer:

9y-7y=2y

12-4=8

so 2y=8 should be correct

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

Answer:

y=7/2x-4

Step-by-step explanation:

Slope-intercept form is written y=mx+b. M stands for slope, x stays as x, and b is the y-intercept. If we plug in the numbers we have, the equation becomes...

y=7/2x-4

I hope this helps you out!! The equation is actually pretty simple once you get used to it. Have a nice day ヾ(•ω•`)o

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Independent variable 'x' is will be represented by the distance from Metro area.

Similarly, dependent variable 'y' will be on y-axis.

Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).

Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

Answer:b

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

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[tex]4 \times {9}^{2x} = 42[/tex]

Divide sides by 4

[tex] \frac{4 \times {9}^{2x} }{4} = \frac{42}{4} \\ [/tex]

[tex] {9}^{2x} = \frac{2 \times 21}{2 \times 2} \\ [/tex]

[tex] {9}^{2x} = \frac{21}{2} \\ [/tex]

[tex]( { {9}^{2} })^{x} = \frac{21}{2} \\ [/tex]

[tex]x = log_{ {9}^{2} }( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2} log_{9}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2} log_{ {3}^{2} }( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{2 \times 2} log_{3}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{4} log_{3}( \frac{21}{2} ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(21) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(3 \times 7) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: log_{3}(3) + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]

[tex]x = \frac{1}{4} ( \: \: 1 + log_{3}(7) - log_{3}(2) \: \: ) \\ [/tex]

And we're done...

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Answer:

M=-2x+y-1 / x2

Step-by-step explanation:

The value of p is 2.

The value of q is 14

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions:

f(x) = 3x + p

g(x) = px + 4

Now,

f(g(x)) = 6x + 9

This means,

3(g(x)) + p = 6x + q

Substituting g(x) = px + 4.

3(px + 4) + p = 6x + q

3px + 12 + p = 6x + q

3px + (p - q) = 6x - 12

This means,

3p = 6

p = 2

p - q = -12

2 - q = -12

q = 2 + 12

q = 14

Thus,

p is 2 and q is 14.

Learn more about functions here:

https://brainly.com/question/28533782

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Answer:

B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]

Step-by-step explanation:

We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.

Let's find slope using the two points (4, 3) and (-2, -1).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]

Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].

The equation that represents the graph would be:

✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],

Answer:

B and E

Step-by-step explanation:

9 power 3 is volume

9 x 9 x 9 is volume

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

All answer below

Step-by-step explanation:

Equation of the Line

The standard form of the equation of a line is shown below:

Ax+By=C

And the slope-intercept form is:

y = mx + b

Where m is the slope and b is the y-intercept.

If we wanted to convert from the first form to the second we will perform the following operations:

Subtract Ax:

By = -Ax + C

Divide by B:

y = -A/Bx+C/B

The coefficient of x is -A/B (fill the blank with that text) and the y-intercept is C/B (again, fill in the blank)

The slope m is the coefficient of x, m=-A/B and it can be found it you divide the opposite of A by B. The selected option is correct.

The y-intercept is the division of C by B. Again, the selected option is correct.

Answer:

1=y=4x+-2        2=y=4x-3

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

23

Answer:

-449.28

Step-by-step explanation:

I used a calculator

Answer: Y = 5

Step-by-step explanation:

Answer: simplified down to 25/28 or 0.89 / / 0.9 rounded up

Answer:

C. x=3

Step-by-step explanation:

Because the sides are proportionate to each other

Side 3 is 3x the length of Side 1

Therefore,

Side 9 is also 3x the length of side X

3x=9

Divide both by 3

and X will be 3.

Answer:

6

Step-by-step explanation: