Susan makes purple paint by mixing red and blue paint in the ratio 2:3
She has 12ml of red and 15ml of blue
What is the maximum amount of purple she can make?

The equation of the appropriate line of best fit is y = 1.25x + 2

Start by drawing a line through the points (see attachment)

From the attached graph, we have:

(x, y) = (0,2) and (4,6.5)

Calculate the slope (m) using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (6.5 - 4)/(2 - 0)

Evaluate

m = 1.25

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1.25(x - 0) + 2

Expand

y = 1.25x + 2

Hence, the equation of the appropriate line of best fit is y = 1.25x + 2

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Answer:

Answer for linear equation: y=4x+500 and Avg score for persons taking 43-hour review course is 672

The inequalities that define the given conditions are,[tex]4x+3y \leq25[/tex].Option A is correct.

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given data;

Soda costs =  $3 per case

Paper plates  = $4 per stac

The maximum amount of money you can spend  is $25

x = the number of cases of soda

y = the number of stacks of paper plates.

The inequalities that define the given conditions are;

[tex]4x+3y \leq25[/tex]

Hence, option A is correct.

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Answer:

3xy-2x

Step-by-step explanation:

Distribute x to both 3y and -2: 3y*x-2*x.

Answer:

1 turn

Step-by-step explanation:

this is what the graph would look like:

Answer:

1. 1

2. 6/5

5. 0

6. -1/2

9. -1

10. 0

Step-by-step explanation:

Well you should just the slope formula (y2-y1)/(x2-x1)

1. (8-5)/(0-(-3)) = 3/3 = 1

2. (-3-(-9))/(4-(-1)) = 6/5

5. (3 - 3) / (0-2.5)  = 0/(-2.5) = 0

6. (0-(-4))/(0-8) = 4/(-8) = -1/2

9. (4-1)/(9-12) = 3/(-3) = -1

10. (7-7) / (1-(-5)) = 0/6 = 0

Step-by-step explanation:

[tex] {x}^{2} - 14x - 25 {y}^{2} + 100y = 76[/tex]

Factor by grouping,

[tex]( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76[/tex]

Complete the square, with the x variables,

[tex]( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125[/tex]

Factor out 25 for the y variables

[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125[/tex]

Complete the square

[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25[/tex]

Simplify the perfect square trinomial

[tex](x - 7) {}^{2} - 25(y - 2) {}^{2} = 25[/tex]

Make the right side be 1 so divide everything by 25.

[tex] \frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1[/tex]

Here our center is (7,2).

Answer:

20 lawns

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

when you open up the parenthesis, you get -8x-3 which is 24.

negative x negative = positive

Answer:

the graph of f(x)= -2-10x+16

Answer:

the vertex would be (-5,41)

Step-by-step explanation:

You just plug the -5 back into the equation to get 41

Answer:

0.5

Step-by-step explanation:

1)  (12h + 10a = 7) × 3  ⇒ (1) 36h + 30a = 21

2)  (5h + 15 = 4) × -2 ⇒ + (2)  - 10h - 30a = 8

                                             ----------------------

                                                 26h  =   13

                                                 -----         -----

                                                  26          26

                                          h = 13    ÷ 13

                                                  ---

                                                 26  ÷  13

                                          h = 1

                                              ----          =  0.5

                                                 2

Answer:

1 hex bolt weight 0.5 lbs.

Step-by-step explanation:

When folding up the box, x will be the height

(30-2x) will be the length

(25-2x) will be the width so

[tex]v(x) = x(30 - 2x)(25 - 2x)[/tex]

b. First, we can't have negative length or zero length so x must be Positve.

Set the other binomial equal to 0.

[tex]30 - 2x > 0[/tex]

[tex] - 2x > - 30[/tex]

[tex]x < 15[/tex]

[tex]25 - 2x > 0[/tex]

[tex] - 2x > - 25[/tex]

[tex]x < 12.5[/tex]

So our domain is

(0,12.5), meaning our value of x must be greater than 0 and less than 12.5

Answer:

x > 22/7

_________________________________________

Notice*

Because there are no options, we must find it algebraically.

_____________________________________________

Let's solve your inequality step-by-step.

−4(x+7)<3(x−2)

Step 1: Simplify both sides of the inequality.

−4x−28<3x−6

Step 2: Subtract 3x from both sides.

−4x−28−3x<3x−6−3x

−7x−28<−6

Step 3: Add 28 to both sides.

−7x−28+28<−6+28

−7x<22

Step 4: Divide both sides by -7.

-7x/-7 = 22/-7

x > -22/7

Answer:

x > −22/7

Answer:

Answer is 71.95°

Step-by-step explanation:

Cosine formula is

a^2=b^2+c^2-2bc(cosA)

cos A =b^2+c^2-a^2/2bc

if a= 119,b=94,c=173

cos A=94^2+173^2-119^2/2(94*173)

=8836+29,929-14,161/2(16,262)

=38765-14,161/32,524

=24604/32,524

=0.7564

cos A=0.7564

cos^-1=40.85°.that's for angle A.

Using the same formula

B=31.1°

C=180-(40.85+31.1)

C=180-71.95

C=108.05

Since angle on a straight line is 180

therefore x is 71.95

Also the sum of angles A and B

The function g(x) = ∛(x -3) is positive at the interval x > 3

Given g(x) = ∛(x -3), on what interval is the function positive?

The function is given as:

g(x) = ∛(x -3)

Set the radicand to positive

x - 3 > 0

Add 3 to both sides

x > 3

Hence, the function is positive at the interval x > 3

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Answer:

A.

Step-by-step explanation:

As shown in the question we can interpret the following:

[tex]x_{1} = -2\\y_{1} = 1\\x_{2} = 5\\y_{2} = -4[/tex]

Now all we have to do is plug these values into the equation, and so we find that A. is the correct answer.

Answer:

7.21

Step-by-step explanation:

There is a formula to find the area of a side of a rhombus given 2 diagonals.

It is:  [tex]\frac{\sqrt{p^{2}+q^{2} } }{2}[/tex]

64 + 144 = 208

[tex]\sqrt{208}[/tex] = 14.42

14.42 / 2 =

7.21

Using the combination formula, it is found that the probability that the ticket i hold has the winning numbers is:

[tex]p = \frac{1}{29,322,216}[/tex].

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For the winnerballs, 5 balls are taken from a set of 44, hence:

[tex]C_{44,5} = \frac{44!}{5!39!} = 1086008[/tex]

Considering the numbered balls, the number of outcomes is given by:

N = 27 x 1086008 = 29,322,216.

Hence the probability is given by:

[tex]p = \frac{1}{29,322,216}[/tex].

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Answer:I think observational

Step-by-step explanation:They want to study it so they trying it on people who are willing so they are looking closely to what happens.

Answer:

x^2 + 7x + 12

Step-by-step explanation:

This is a product of two binomials.  There's a formula:  

(a + b)(c + d) = ac + ad + bc + bd.

Therefore, (x + 3)(x + 4)​ = x^2 + 3x + 4x + 12  =  x^2 + 7x + 12

Answer:

$206

Step-by-step explanation:

Lyanna will earn 3% on her capital within 1 year.
In total, she will have 103%.
$200 x 103% = $206

Answer:..

Step-by-step explanation: what is is not?

Answer:

1. is

2. amount raised, number of shirts sold

3. dependent, independent

4. 4

5. 4x

Step-by-step explanation:

When leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

Functions of independent variable in which the variable can appear more than once with different powers.

[tex]\rm g(x) = a_n x^n + a_{n-1}x^{n-1} + ................+ a_o[/tex]

Let this represents the polynomial function

where [tex]\rm a_n \; is\;the \;leading \; coefficient \; a_o \; is \;the\;last \;term[/tex]

Then the according to rational root theorem ,

The root of the function is given by

[tex]\rm \dfrac{p}{q} = \dfrac{factor \;of\; the\; last\; term}{factor \;of \;the\; leading coefficient}[/tex]

So when leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

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(12x +15)°=75° .…(शिर्षभिमुख कोण भएर)

or, 12x+15=75

or, 12x=75-15

or, 12x=60

or, x=60÷12

or, x=5

(6y-27)°=105° .…(शिर्षभिमुख कोण भएर)

or, 6y-27=105

or, 6y=105+27

or, 6y=132

or, y=132÷6

or, y=22

Jamar's first step is correct. He should continue to factor the expression. Then the correct option is A.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Jamar is attempting to factor the expression 15x² – 16x – 15.

In his first step, he rewrites the expression as 15x² – 25x + 9x – 15.

Jamar's first step is correct. He should continue to factor the expression.

Then the correct option is A.

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[tex]\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)[/tex]

Answer:

20 Players

Step-by-step explanation:

Total Amount of Money: $2412.50

First the team rented us a bus for $1072.50

Subtract the bus from the total

$2412.50 - $1072.50 = $1340

Total Amount of Money after bus: $1340

From there we need to find the max number of players that can go.

The budget cost for each player is $67.

So we divide the remaining money by $67 to find the number of players that can go.

$1340/$67 = 20 Players.

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Answer:

B

Step-by-step explanation:

Cube root of 27 is 3, which is in integer

Answer:

[tex]\mathsf {\frac{17}{10}}[/tex]

Step-by-step explanation:

[tex]\mathsf {2\frac{2}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]

[tex]\mathsf {\frac{8}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]

Take the LCM (common denominator) to be 30.

[tex]\mathsf {\frac{80}{30} + \frac{84}{30} + ? = \frac{215}{30} }[/tex]

Bring the known values to the RHS.

[tex]\mathsf {? = \frac{215}{30} - \frac{164}{30} }[/tex]

[tex]\mathsf {? = \frac{51}{30}}[/tex]

[tex]\implies \mathsf {\frac{17}{10}}[/tex]

Let that be x

Now

[tex]\\ \rm\rightarrowtail \dfrac{8}{3}+\dfrac{14}{5}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{40+42}{15}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{82}{15}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{43}{6}-\dfrac{82}{15}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{215-164}{30}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{51}{30}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{17}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=1\dfrac{7}{10}[/tex]