For the lunch special at a high school cafeteria, students can get either salad or french fries as a side order. The following table shows the number of each side order for the lunch specials purchased on one day, classified by the grade of the student
Grade 9
Grade 10
Grade 11
Grade 12
Total
Salad
37
34
21
28
120
83
71
57
37
248
French fries
Total
120
105
78
65
368

From those who purchased the lunch special that day, one student will be selected at random. What is the probability that the student selected will be in grade 10 given that the student ordered
french fries as the side order?
A
71/368
B
105/368
C
71/245
D
245/308

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Answer: it’s 8 to 14 number c

Step-by-step explanation:

Let me know if I’m wrong

The ratio equivalent to 20 to 35 is 8 to 14.

Option C is the correct answer.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

20 to 35

This can be written as,

= 20/35

= 5 x 4 / 5 x 7

= 4/7

Now,

5 to 7 = 5/7

7 to 5 = 7/5

8 to 14 = 8/14 = 4/7

14 to 8 = 14/8 = 7/4

Thus,

20 to 35 is the same as 8 to 14.

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Answer:

-4,-6,-8,-10

Step-by-step explanation:

I am not so sure though.

9514 1404 393

Answer:

  5 minutes; 60 gallons

Step-by-step explanation:

The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...

  y = 35 +5x . . . . . . where y is gallons, and x is minutes

The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...

  y = 100 -8x

We want to find the values of x and y such that both are the same for both tanks.

  35 +5x = y = 100 -8x

  13x = 65 . . . . . . . . add 8x-65 to both sides of the equation

  x = 5

  y = 100 -8·5 = 60

Both tanks will hold 60 gallons after 5 minutes.

Answer:

its c

Step-by-step explanation:

took the test

Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).

Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7),  C'(6.-14) , D'(1.-11)

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Answer:

First choice, 1/3

Step-by-step explanation:

If you look at 1 to A to B to 2, you would see that there are 3 gaps between them. Therefore it's out of three, A to B is only one gap distance so it's 1/3

The answer is 1/3.

- emmatannerfns

Answer:

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Step-by-step explanation:

From the graph attached,

Equation of line (1),

y = 2

Where x < 0

Let the equation of line (2) is,

y = mx + b

y-intercept 'b' = 0 [line (2) passes through origin]

Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

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

                                 = 1

Therefore, equation of line (2) will be,

y = x

where 0 ≤ x < 3

Equation of line (3) will be,

y = 3

Where x ≥ 3

Therefore, piecewise linear function will be,

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Answer:

  663.94

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Counting by 0.5 pattern

Answer:

60 inches²

Step-by-step explanation:

Unit test

Answer:

if it's wednesday

Step-by-step explanation:

Note: Consider the below figure attached with this question.

Given:

[tex]a=3\sqrt{3}[/tex]

To find:

The value of b.

Solution:

In a right angled triangle,

[tex]\tan \theta = \dfrac{Perpendicular}{Base}[/tex]

For the given right angled triangle,

[tex]\tan \theta = \dfrac{a}{b}[/tex]

[tex]\tan (30^\circ) = \dfrac{3\sqrt{3}}{b}[/tex]

[tex]\dfrac{1}{\sqrt{3}} = \dfrac{3\sqrt{3}}{b}[/tex]

On cross multiplication, we get

[tex]1\times b=3\sqrt{3}\times \sqrt{3}[/tex]

[tex]b=3(3)[/tex]

[tex]b=9[/tex]

Therefore, the value of b is 9.

Answer:

0.79769, or 0.80 if you round it up

Step-by-step explanation:

Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

6x + 2 = 2(x + 4) - 2

Step 2: Solve for x

Step 3: Check

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

Here we see that 8 does indeed equal 8.

∴ x = 1 is the solution to the equation.

Answer: 3 boxes

Step-by-step explanation: Divide 21 and 7.

Answer:

24$

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

try mulyipling each sequence by 6

It's the Second one and the third one

Step-by-step explanation:

Pie is irrational so you can easily cross it off and it leads to to the second one and the third one

Answer:

I need the answer

I dont know!!

Step-by-step explanation:

Answer:

17 inches

Step-by-step explanation:

Answer:

he needs 3 times all the 1 to make 21 pancakes

Step-by-step explanation:

Answer:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Step-by-step explanation:

We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]

where m is slope.

And check

a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]

b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]

Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]

Already in slope-intercept form

Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]

Equation for Line 2: [tex]6x-8y=-6[/tex]

Converting into slope-intercept form:

[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]

Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Equation for Line 3: [tex]-4y=3x+7[/tex]

Converting into slope-intercept form:

[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]

Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Now, finding answers

Line 1 and Line 2

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]

Both lines are perpendicular because they have opposite reciprocal slopes

Line 1 and Line 3

Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

Line 2 and Line 3

Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]

Slopes are neither same, nor opposite reciprocal, so they are neither

The answers are:

Line 1 and Line 2: Perpendicular

Line 1 and Line 3: Neither

Line 2 and Line 3: Neither

Answer:

D. y=3x+15

Step-by-step explanation:

find the slope

[tex]\frac{1-(-5)}{-3-(-1)} =3[/tex]

y=mx+b

plug in known values

3=3(-4) + b

b=15

y=3x+15

Answer:

x= -2/9

Step-by-step explanation:

2(x-2)/5=4x

2(x-2)=4x*5

2(x-2)=20x

x-2=20x/2

x-2=10x

-2=10x-x

9x= -2

x= -2/9

Answer:

The answer for this is x=-5

Answer:

x=-5

Step-by-step explanation:

-4x+1=21

move the 1 to the right side and subract it so it will turn into -4x=20

divide -4 to get the x by itself and then you will get x=20/-4 this will now divide and be x=-5

Answer:

138

Step-by-step explanation:

just plug in the numbers:

4*6^2 - 36/6

use pemdas

4*36 - 6 = 144-6 = 138

Answer: The answer is 138.

Step-by-step explanation: First, find 6 squared. That is 36. Multiply that by 4 to get 144. After that, find 36 divided by 6. That is 6. Finally, subtract 144 and 6.

Step-by-step explanation:

Product is multiplication:

4y

Answer:

y=-3x-9

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

plug this ecuation into desmos graphing calculator(it's a website). Then see how many times the graph crosses the x-axis.

To find the zeroes:

0 of a function means for what value(s) of x will the f(x) or y equal zero(0). To find the zeroes of this function, just see what numbers will make f(x) = 0. Since this equation is already factored, our job is much easier. Focus on small parts of the equation and don't get ovewhelmed by how long it its. For you problem, start by -5(x^2-7). what x will make -5(x^2-7) = 0? As long as (x^2-7) = 0, the whole equation will equal zero since any number times 0 is 0. (x^2-7)=0, move -7 to the right, x^2=7, get squre root of both sides, you will have x=plus or minus[tex]\sqrt{7}[/tex]. This is one of the zeroes. There are many more in this equation since we have more than one x-intercepts. Now using thsi tactic, you can solve for the rest of the zeroes.

there is a calculator called symbolab, It's also a website and it can calculate whatever you need.

The number of x-intercepts is five would be the given function.

The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses,

The function is given in the question

F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)

We have to determine the number of x-intercepts that would the function.

F(x) = -5(x²-7)(x+6)²(x+1)(4x+1)

The x-intercept occurs at a point where F(x) = 0

0 = -5(x²-7)(x+6)²(x+1)(4x+1)

-5(x²-7)(x+6)²(x+1)(4x+1) = 0

Here (x²-7) = 0, and (x+6)² = 0, (x+1) = 0, and (4x+1) = 0

x² = 7 , and (x+6) = 0, x = -1 , and 4x = -1

x = ±7 and x = -6 , x = -1 , and x = -1/4

x = 7, -7  and x = -6 ,  x = -1 , and x = -1/4

Therefore, the number of x-intercepts is five would be the given function.

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Answer:

when the plant at the end dies