100 students are interviewed to see which of biology, chemistry or physics they prefer.
41 of the students are girls. 32 of the girls like biology best.
24 of the boys prefer physics.
6 out of the 25 who prefer chemistry are girls.
What percentage of the students prefer biology?

To find the parallel :

First of all, Parallel equations should have the same slope and a different y-intercept!

Take the equation of a linear function : y = mx + b, the slope here is m and the y intercept is b.

When we’re given a point (x,y), we write our equation in the y = mx + b form, then substitute the given point for (x,y) and solve for B!

Practice

We already know our equation will be in the form y = mx + b

And we also know that the slope will be the same : m = 4/7

So y = 4/7x + b

Lets find b !

The line passes through the point (0,0) of origin :

0 = 4/7*0 + b

b = 0

So the y intercept is b = 0

And finally the equation will be :

y = 4/7x

Good Luck

Answer:

1 I think can you make sure?

Step-by-step explanation:

the first one is:

2 so not th second one

Answer:

Step-by-step explanation: We can solve this in two ways:  Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.

Solve The Equations:

y = 2x+9

y = -x-3

Set them equal to each other (to find x such that both equations will return the same value for y).

-x-3 = 2x + 9

-3x = 12

x = -4

Use x=-4 in either equation to find y:

y = -x-3

y = -(-4)-3

y = 1

===

The point is (-4,1).  That is the point that satisfies both equations:

1)  y = 2x+9

    y = 2(-4)+9

   y = 1, and

2)  y = -x-3

    y = -(-4)-3

    y = 1

=====

We can also solve by graphing and finding the point at which the two lines intersect.  A graph is attached.

Answer:

56/100

Step-by-step explanation:

The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.

Answer:

x = -10 or 2

Step-by-step explanation:

The amount he gets for lunch is an illustration of mean and averages.

He gets for lunch is $240 daily

Represent the amount he gets for lunch each day be x.

So, the amount saved each day is x/2

From Monday to Friday, the total savings would be 5x/2

So, we have:

[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]

Multiply both sides by 2

[tex]\mathbf{5x = \$1200}[/tex]

Divide both sides by 5

[tex]\mathbf{x = \$240}[/tex]

Hence, the amount he gets for lunch is $240 daily

Read more about mean and averages at:

https://brainly.com/question/16217700

Answer:

The left side 0 is equal to the right side which means that the given statement is always true.

Step-by-step explanation:

[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]

ok done. Thank to me :>

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

12 plus 4 plus 8 is 24. so y is -1 because each y takes away 1.

Answer:

For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.

For the "Standard" column, it will be

7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get

y = -7/2x + 3.)

For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵

This is the point-slope formula.⤵⤵⤵

[tex]y - y _{1} = m(x - x _{1})[/tex]

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.

So we have: y - (-4) = -7/2(x-2).

In other words, "Point Slope" would be

y + 4 = -7/2(x-2).

By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)

Answer:

ofc 8 there are 8 post card ♦️

Answer:

222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222

Step-by-step explanation:

22222222222222222222222222222222222222

Answer:

72%

Step-by-step explanation:

36/50 = 0.72

0.72 x 100 = 72%

Answer:

[tex]7\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]2\frac{3}{5}[/tex] × [tex]3\frac{1}{3}[/tex]

First make these two fractions as improper fractions.

[tex]\frac{13}{5}[/tex] × [tex]\frac{10}{3}[/tex]

Now multiply the fractions

[tex]\frac{130}{15}[/tex]

You can divide both sides by 5 to simplify the fraction.

[tex]\frac{26}{3}[/tex]

Now make it as a mixed number.

[tex]7\frac{5}{3}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Hello there! (:

[tex]2\frac{3}{5} *3\frac{1}{3}[/tex]

Follow these steps to multiply mixed numbers:

Now, how do we convert a mixed number into an improper fraction?

Here are the steps:

Step 1:

2*5=10

10+3=13

[tex]\frac{13}{5}[/tex]

Now, we do the same to the second fraction:

[tex]\frac{10}{3}[/tex]

[tex]\frac{13}{5} *\frac{10}{3}[/tex]

Step 2. Multiply the numerator times the numerator and the denominator times the denominator:

[tex]\frac{26}{3}[/tex]

Now, let's convert this fraction into a mixed number:

[tex]7\frac{5}{3}[/tex]

Hope it helps you!

If you have any queries, feel free to ask me! (:

~A smiley teen who adores helping others

[tex]MagicalNature[/tex] here to help

9514 1404 393

Answer:

Step-by-step explanation:

If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.

Brent has 31 dimes and 132 pennies.

_____

Solution using an equation

You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...

  1(163-d) +10d = 442

  9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)

  9d = 442 -163 = 279 . . . . . . subtract 163

  d = 279/9 = 31 . . . . . . . . . . divide by 9

Brent has 31 dimes and 163-31 = 132 pennies.

Answer:

Step-by-step explanation:

Answer:

Slope: 2/3

Step-by-step explanation:

Answer:

1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...

Step-by-step explanation:

Step-by-step explanation:

Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.

Answer:

you have to use multiplication maybe division and addition

Step-by-step explanation:

[tex]-2[/tex] is a less of a loss than [tex]-5[/tex], but a lost of [tex]5[/tex] points is a greater loss than of [tex]2[/tex] points

Answer:

tabulation. the simple process of counting the number of observations (cases) that are classified into certain categories; a frequency count; counting the number of responses in categories. one-way tabulation. categorization of single variable existing in a study.

Step-by-step explanation:

[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]

Answer:

Step-by-step explanation:

[tex]\left(x_{1},y_{1} \right) = (2,10)\\\\(x_{2},y_{2}) = (5 ,15}\\\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{}15-10{5-2}=\dfrac{5}{3}\\\\\\= \dfrac{5}{3}[/tex]

Answer:

slope = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 10 ) and (x₂, y₂ ) = (5,  15 )

m = [tex]\frac{15-10}{5-2}[/tex] = [tex]\frac{5}{3}[/tex]

Answer:

D, y+8=2(x_4)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

on edge

Answer: 28.666666666666667

Step-by-step explanation: 85 - 30 - 12 = 43. 43 ÷ 1.50 = 28.666666666666667