the length between the bases field is 90 feet. A scale drawing shows the distance between the bases as 2 1/2 inches. One inch on this drawing equals how many feet?

Given parameters:

Number of boxes Athena bought for the party  = x

Number of cookies per box = 10

Number of cookies she brought to the party = 70

Number removed  = 2 boxes

Unknown:

Equation of the number of boxes = ?

Solution:

    1 box of cookies contains 10 cookies

If Athena, removed 2 boxes, in those two boxes, we have 20 cookies

 Total number of cookies  = 70 + 20 = 90 cookies;

So;

    x  = [tex]\frac{total number of cookies}{number of cookies per box}[/tex]

   Therefore;

                    x  = [tex]\frac{90}{10}[/tex]boxes

Answer:

which class question is this

Answer:

Jon can make 9 pancakes.

Step-by-step explanation:

first add the milk and flour volumes and gives you 1 1/2. After that divide that by 1/6 which gives you 9 so Jon can make 9 pancakes.

Answer: 175.00

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer:

u > 10  or u < -10

Step-by-step explanation:

|u| +11 > 21

Subtract 11 from each side

|u| +11-11 > 21-11

|u| > 10

There are two solutions, one positive and one negative.  Remember to flip the inequality for the negative

u > 10  or u < -10

Answer:

[tex]u<-10\quad \mathrm{or}\quad \:u>10[/tex]

Step-by-step explanation:

[tex]\left|u\right|+11>21\\\\\mathrm{Subtract\:}11\mathrm{\:from\:both\:sides}\\\\\left|u\right|+11-11>21-11\\\\Simplify\\\\\left|u\right|>10\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad \mathrm{or}\quad \:u\:>\:a\\\\u<-10\quad \mathrm{or}\quad \:u>10[/tex]

Answer:

Step-by-step explanation:

The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as;

M(X,Y) = {(x1+x2)/2, (y1+y2)/2}

Given the points A(h, k) and B(h,j)

x1 = h, y1 = k, x2 = h, y2 = j

Substitute into the formula;

M(X,Y) = {(x1+x2)/2, (y1+y2)/2}

M(X,Y) = {(h+h/2, (k+j)/2}

M(X,Y) = {(2h)/2, (k+j)/2}

M(X,Y) = {h, k+j/2}

hence the coordinates of point M is {h, k+j/2}

5555555555555555555555555555555

Answer:

A. True

Step-by-step explanation:

Since both 8y and 7y have the same variable, and they are both multiplying with the variable, 8y and 7y can be combined.

If one of the numbers had a different variable or if they were being divided instead then you would not be able to simplify.

Answer:

∠ BAF = 140°

Step-by-step explanation:

Since BD is a tangent to the circle at point B , then

∠ ABD = 90°

The exterior angle of a circle is equal to the sum of the 2 opposite interior angles.

∠ BAF is an exterior angle, thus

∠ BAF = ∠ ABD + ∠ BDA = 90° + 50° = 140°

Answer:

g(x)=-2 (3.5)x

the initial value is -2

g(-1)=-0.57

g(1)=-7

Answer:

The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x).

What is the function definition of g(x)?

g(x) = ✔ –2 (3.5x)

What is the initial value of g(x)?

✔ –2

What are the outputs for inputs of –1 and 1 in g(x)?

g(−1) = ✔ –0.57

g(1) = ✔ –7

Answer:

the 2nd answer I had this equation last week

Answer:

B multiply -6 and 3

Answer:

k = -3x

Step-by-step explanation:

To find the slope, use rise over run

I started from (0, 0)

To get to the next whole number point, you must go up (rise) 3 and go back (run) 1

Since we are going back, the slope is negative.

The rise over run is -3/1 which simplifies to -3

To find y-intercept, we look at the point when x = 0. When x = 0, y = 0 so the y-intercept is 0 (which means you don't have to include it into the equation

y = -3x or k if that's what you use

‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎  ‏‏‎

Yes; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The side lengths  8, 15, and 20 form the sides of a .triangle

In order to determine whether the length of the sides forms a triangle, we will use the theorem that states that:

Given the side lengths 8, 15 and 20

Taking the sum of any two sides;

8 + 15 = 23

Since 23 > 20 (third side), this shows that the theorem is true

Similarly;

Also;

Since all the conditions are met, hence the side lengths form a triangle.

Learn more here: https://brainly.com/question/24323553

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

We have

[tex]m = \frac{0 - 4}{1 - - 3} = - \frac{4}{4} = - 1 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

f( x) = x ^2 + 1

The equation  f( x) = x² + 1 makes the table true.

Two or more expressions with an equal sign is called as equation.

The given  table is

x     y

0     1

2     5

5     26

7      50

The table value satisfy with the function f( x) = x² + 1=y

if x=0, then y=f(0)=0² + 1=1

if x=2, then y=f(2)=2² + 1=4+1=5

if x=5, then y=f(5)=5² + 1=25+1=26

if x=7, then y=f(7)=7² + 1=49+1=50

Therefore f(x)=x² + 1 is the equation of table.

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Answer:

y= 1/3x - 3

Step-by-step explanation:

The y-axis is -3

In order to find slope you do rise/run

To find solutions from graphs, look for the point where the two graphs cross one another. This is the solution point. For example, the solution for the graphs y = x + 1 and x + y = 3 is the coordinate point (1, 2). The solution to these equations is and.

Answer:

What are the expressions?

Step-by-step explanation:

We need a image if we don't have it we cannot help.

Answer:

393.70

Step-by-step explanation:

350x.04= 14 for 1st year

350+14= 364 for 1st year

364×.04= 14.56 for 2nd year

364+14.56= 368.56 for 2nd year

368.56×.04= 15.14 for 3yr

368.56+15.14= 393.70 yr 3 yrs

Answer:

The answer is 42.

Step-by-step explanation:

We start by using the Simple Interest Formula.

I=P x R x T

Key

P: Principal, R: Rate and T: Time

>P=$350

>R=4% or .04

>T= 3 (for 3 years)

Finally, multiply everything (350)(.04)(3)

| I= 42 |

Answer:

[tex]\angle 1=39\textdegree[/tex]

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle always equal 180. Therefore:

[tex]\angle 1+\angle Y+102=180[/tex]

Let's subtract 102 from both sides. This yields:

[tex]\angle 1+\angle Y=78[/tex]

Now, notice the that both ∠1 and ∠Y have exactly one arc mark.

Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:

[tex]\angle 1=\angle Y[/tex]

So, we can substitute ∠Y for ∠1 for our equation. This yields:

[tex]\angle 1+\angle 1=78[/tex]

Combine like terms:

[tex]2\angle 1=78[/tex]

Divide both sides by 2. So, the measure of our angle is:

[tex]\angle 1=39\textdegree[/tex]

And we're done!

[tex]f(x) = {x}^{2} + 7 [/tex]

[tex]y = {x}^{2} + 7 [/tex]

Subtract the sides of the equation minus 7

[tex]y - 7 = {x}^{2} [/tex]

Take the square root of both sides of the equation

[tex]x = \sqrt{y - 7} [/tex]

So ;

[tex] {f}^{ - 1}(x) = \sqrt{x - 7} [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8,-6) and T(4, 12)

We have

[tex]M = ( \frac{ - 8 + 4}{2} \: , \: \frac{ - 6 + 12}{2} ) \\ = ( - \frac{4}{2} \: , \: \frac{6}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

-17

Step-by-step explanation:

Answer:

y=1.5x+1; x= -0.6

y= -0.25x-6; x= -24

Step-by-step explanation:

y=1.5x+1

0=1.5x+1 (To find x-intercept/xero, substitute y=0)

-1.5x=1

x= -2/3 or x= -0.6

y= -0.25x-6

0= -0.25x-6

0.25x= -6 (Move variables to the left-hand side and change its sign)

x= -24