Clinton had his sister sell some of their toys at a garage sale. Clinton makes $12.94 at the sale, and his sister makes $20.18.How much less did Clinton make at the garage sale than his sister

Answer:8^1/6*2^x=32^1/2

We move all terms to the left:

8^1/6*2^x-(32^1/2)=0

Domain of the equation: 6*2^x!=0

x!=0/1

x!=0

x∈R

We get rid of parentheses

8^1/6*2^x-32^1/2=0

We calculate fractions

There is no solution for this equation

The unit rate for canned juice, in cases per minute is; 50 cases per minute is; cases per minute

From the attached file, we see that it is a graph showing canned juice on the y-axis and time taken in minutes on the x-axis.

Now, to find the unit rate also means to find the slope from 2 defined points. From the given graph, we will take the coordinates;

(1, 50) and (2, 100)

Thus;

Slope = (100 - 50)/(2 - 1)

Slope = 50 cases per minute

Thus, the unit rate for canned juice, in cases per minute is; 50 cases per minute.

Read more about unit rate at; https://brainly.com/question/19493296

#SPJ1

Complete question is; A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.

What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.

Answer:

Label A:increasing

Label B: no change

Label C: decreasing

Step-by-step explanation:

Answer:

Option B 6x-7y = -11 is correct

Step-by-step explanation:

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (3,1)

The equation used is:

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

where m is the slope.

Finding slope :

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

x₁= 1/2, y₁=2, x₂=-3, y₂=-1

Putting values:

[tex]m=\frac{-1-2}{-3-1/2} \\m=\frac{6}{7}[/tex]

Now taking point (1/2,2) and slope m = 6/7 finding equation:

[tex]y-y_{1}=m(x-x_{1})y-2=\frac{6}{7}(x-\frac{1}{2})\\ 7(y-2)=6(x-\frac{1}{2})\\7y-14=6x-3\\7y-6x=-3+14\\7y-6x= 11\\Multiply \,\,with\,\, -1\\-7y+6x=-11\\6x-7y=-11[/tex]

So, Option B 6x-7y=-11 is correct

Keywords: Standard form of the equation

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPS YOU LEARN! :)

Equation of this line in standard form:

6x − 7y = −11

Given points:

(-3, -1) ; (1/2 , 2)

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (-3,-1)

The equation used is:

(y - y1) = m (x - x1)

m = slope = y2 - y1 /x2 - x1

Now,

(-3,-1) : (x1 , y1)

(1/2,2) : (x2 , y2)

m = slope = y2 - y1 /x2 - x1

m = 2- (-1)/ 1/2 - (-3)

m = 6/7

Substitute the values in the standard form,

y - (-1) = 6/7 [x- (-3)]

⇒6x−7y=−11

Hence

Equation of this line in standard form:

6x − 7y = −11

Know more about equation of line,

https://brainly.com/question/29205562

#SPJ6

Answer:

153.846153846

Step-by-step explanation:

{\__/}

( • . •) want this cookie?

/ >

{\__/}

( • - •)

< \ just kidding its for me

Answer:

Step-by-step explanation:

Given the two points

Determining the distance between the points

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(7-\left(-3\right)\right)^2+\left(15-10\right)^2}[/tex]

[tex]=\sqrt{\left(7+3\right)^2+\left(15-10\right)^2}[/tex]

[tex]=\sqrt{10^2+5^2}[/tex]

[tex]=\sqrt{100+25}[/tex]

[tex]=\sqrt{125}[/tex]

[tex]=\sqrt{5^3}[/tex]

[tex]=\sqrt{5^2\cdot \:5}[/tex]

[tex]=5\sqrt{5}[/tex]

Therefore,

[tex]\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}[/tex]

Determining the midpoints between the points

Given the two points

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:10\right),\:\left(x_2,\:y_2\right)=\left(7,\:15\right)[/tex]

[tex]=\left(\frac{7-3}{2},\:\frac{15+10}{2}\right)[/tex]

[tex]=\left(2,\:\frac{25}{2}\right)[/tex]

Therefore,

[tex]\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)[/tex]

Answer: Maddie is nine

Step-by-step explanation:

PETER: 9

Kelly: 12

MAX: 14

Ashley: 11

Maddie: 9

Answer:

fwnancasca

Step-by-step explanation:

32+9

Answer:

2.456%

Step-by-step explanation:

Answer:

umm maybe 1.3

Step-by-step explanation:

Answer:7

Step-by-step explanation:

95/12=7.916666666666666666666666666

Answer:

Only 7 but the exact form will be 7[tex]\frac{11\\}{12}[/tex].

Step-by-step explanation:

Hope this helps:)!

Answer:

Care Value will be 202500 Rupees.

Step-by-step explanation:

2225000(0.9)

Answer:

10

My Logic:

if im correct the scale playground is 15cm wide while the real playground is 150 cm wide. That means that the scale playground is 1/10 of the real one or 1/10 scale.

Hope the helps!

Answer:

The Yates phone bill will be $2100 for a year.

Step-by-step explanation:

175x12=2100

Answer:

2100

Step-by-step explanation:

but i think i be broke after that

Answer:

53/54 = 106/108

Step-by-step explanation:

You can find the answer because 53/54 * 2/2 = 106/108

2/2 = 1 - right? When you multiply any number by one, it stays the same. That's how you can tell, 53/54 = 106/108.

Answer:

No it cant

Step-by-step explanation:

it would have to be 54/54 to be equal to 1.

Answer:

The missing value is 2.9mm and cosine was used

Step-by-step explanation:

Given triangle is a right-angled triangle  we can use trigonometric ratios to calculate the missing length.

In the given triangle,

Base = k

Hypotenuse = 15mm

Angle = 79

We will use trigonometric ratio which includes base and hypotenuse.

Using cosine,

[tex]cos\ (angle) = \frac{Base}{hypotenuse}\\cos\ 79 = \frac{k}{15}\\k = cos\ 79 * 15\\k = 0.1908*15\\k = 2.862[/tex]

Rounding off to nearest tenth

[tex]k= 2.9mm[/tex]

Hence,

The missing value is 2.9mm and cosine was used

Answer:

Angle 3

Angle 4

Angle DVE

Angle FVE

Angle DVF

The angles that have V as a vertex are:

[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]

Recall:

Thus, from the given image,

Each of the following angles has V as the vertex of its angle:

Therefore, the list of all angles having V as a vertex are:

[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]  

Learn more here:

https://brainly.com/question/2948510

Answer:

4 years if my math is correct

Step-by-step explanation:

Answer:

still blurry

Step-by-step explanation:

Answer:

C. 0.5

Step-by-step explanation:

If point B is nearest to zero and that far from three, it is going to be 0.5. Not to mention, you can estimate that point is about a half from one.

Answer:

C

Step-by-step explanation:

A - 3.6 is ahead of C, so nope

B - -0.2 is behind A, nope

C - 0.5 works because it seems reasonably distanced (closer to 0 than 3.5)

D - 2 is closer to 3.5, but point b is closer to 0.

Also, if you divide the section between A and C by 7, you can find that 0.5 works because it should be the first section of 0.5

Answer:

B is your answer

Step-by-step explanation:

Hope this helped!

Answer:

The speed of the plane in still air is 590 mph

The speed of the wind is 20 mph

Step-by-step explanation:

Let's call:

x = Speed of the plane in still air

y = Speed of the wind

The plane traveled d=4575 miles with the wind in t=7.5 h. The speed calculated with this data corresponds to the sum of the speed of the plane and the speed of the wind, thus:

[tex]\displaystyle x+y=\frac{4575}{7.5}=610[/tex]

x + y = 610        [1]

The plane traveled 4275 miles in 7.5 hours against the wind, thus the speed calculated is x - y:

[tex]\displaystyle x-y=\frac{4275}{7.5}=570[/tex]

x - y = 570        [2]

Adding [1] and [2]:

2x = 610 + 570 = 1180

x = 1180 / 2 = 590

From [1]:

y = 610 - 590 = 20

The speed of the plane in still air is 590 mph

The speed of the wind is 20 mph

Answer: an arithmetic sequence

Step-by-step explanation:

Answer: I think it's no, sorry if I can't help

Step-by-step explanation:

Answer: Valentina measured incorrectly.

Step-by-step explanation: 1 feet equals to 12 inches. If you substitute this value for all the other values like 5 ft and 8 inches (Noah's measurement). Firstly, 5 multiplied by 12 is 60, then you would add 8 to it. Caleb already measured the same amount of inches as Noah so we can just leave that one. Same with Mary, 3 * 12 inches = 36 plus 32 which is also 68. Finally, we are left with Valentina in which she has 2 * 12 inches =24 plus 48 which is 72, not 68. Hence, Valentina measured incorrectly.