A survey is conducted at two junior high
schools asking students about the number of
sodas they consume each day.
Sodas Consumed Per Day
HE
Junior High
Junior High B
1
Based on the data shown in the graphs,
which statement is true?​

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

1. (270 * 3) + (650 * 1)

2. 810 + 650

3. 1,460 miles. Therefore, by doing this, Mark would have trekked 1,460 miles.

4. 1500 > 1460, so Mark would not meet his goal by doing this.

Answer:

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−

b

±

√

b

2

−

4

(

a

c

)

2

a

-

b

±

b

2

-

4

(

a

c

)

2

a

Substitute the values

a

=

2

a

=

2

,

b

=

−

6

b

=

-

6

, and

c

=

5

c

=

5

into the quadratic formula and solve for

x

x

.

6

±

√

(

−

6

)

2

−

4

⋅

(

2

⋅

5

)

2

⋅

2

6

±

(

-

6

)

2

-

4

⋅

(

2

⋅

5

)

2

⋅

2

Simplify.

Tap for fewer steps...

Simplify the numerator.

Tap for fewer steps...

Raise

−

6

-

6

to the power of

2

2

.

x

=

6

±

√

36

−

4

⋅

2

⋅

5

2

⋅

2

x

=

6

±

36

-

4

⋅

2

⋅

5

2

⋅

2

Multiply

−

4

-

4

by

2

2

.

x

=

6

±

√

36

−

8

⋅

5

2

⋅

2

x

=

6

±

36

-

8

⋅

5

2

⋅

2

Multiply

−

8

-

8

by

5

5

.

x

=

6

±

√

36

−

40

2

⋅

2

x

=

6

±

36

-

40

2

⋅

2

Subtract

40

40

from

36

36

.

x

=

6

±

√

−

4

2

⋅

2

x

=

6

±

-

4

2

⋅

2

Rewrite

−

4

-

4

as

−

1

(

4

)

-

1

(

4

)

.

x

=

6

±

√

−

1

⋅

4

2

⋅

2

x

=

6

±

-

1

⋅

4

2

⋅

2

Rewrite

√

−

1

(

4

)

-

1

(

4

)

as

√

−

1

⋅

√

4

-

1

⋅

4

.

x

=

6

±

√

−

1

⋅

√

4

2

⋅

2

x

=

6

±

-

1

⋅

4

2

⋅

2

Rewrite

√

−

1

-

1

as

i

i

.

x

=

6

±

i

⋅

√

4

2

⋅

2

x

=

6

±

i

⋅

4

2

⋅

2

Rewrite

4

4

as

2

2

2

2

.

x

=

6

±

i

⋅

√

2

2

2

⋅

2

x

=

6

±

i

⋅

2

2

2

⋅

2

Pull terms out from under the radical, assuming positive real numbers.

x

=

6

±

i

⋅

2

2

⋅

2

x

=

6

±

i

⋅

2

2

⋅

2

Move

2

2

to the left of

i

i

.

x

=

6

±

2

i

2

⋅

2

x

=

6

±

2

i

2

⋅

2

Multiply

2

2

by

2

2

.

x

=

6

±

2

i

4

x

=

6

±

2

i

4

Simplify

6

±

2

i

4

6

±

2

i

4

.

x

=

3

±

i

2

x

=

3

±

i

2

The final answer is the combination of both solutions.

x

=

3

2

+

i

2

,

3

2

−

i

2

x

=

3

2

+

i

2

,

3

2

-

i

2

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.

Or, in a more difficult equation like this...

10x - 60 = 10

10x = 10 +60

10x = 70

x = 7,

where the graph looks like a vertical line with a point on the x axis on 7.

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Answer: c

Step-by-step explanation:

Answer:

again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties

Step-by-step explanation:

doesn't mean I'm right though.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1/2

Explanation:

1/4 - (-1/4) = 1/4 + 1/4 = 1/2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

m<3=60°

Answer:

m<4+m<3=90° each angle of rectangle is 90°

m<3=90-30=60°

Answer:

The answer is A

Step-by-step explanation:

just got it right on edge :)

The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.

When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .

- Then matrix of the rotation 90° is

[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]

We have the point U (-4, 7) and its image is

U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]

U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]

and, point V is (5, 4) and its image is

V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]

V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]

and, point W is (5, -5) and its image is

W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]

W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]

So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

Learn more about Rotation here:

https://brainly.com/question/12518192

#SPJ3

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Answer:

You'd need 2/5 of 9.2 pints of blue paint

2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint

Step-by-step explanation:

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

Answer:

area of triangle=1/2×base×height

area of triangle=1/2×24×7

area of triangle=84unit²

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

Answer:

B. y = 4x

2 + 4

Step-by-step explanation:

sana nakatulong

Answer:

D 40°

Step-by-step explanation:

52= X + 64 /2

*2.      *2

104 = X + 64

-64        -64

40 =X