Sarah and Ella were selling boxes of chocolates to raise money for a trip. Sarah sold 5 boxes of chocolates for every 3 boxes Ella sold. Together they sold 160 boxes of chocolates. How many boxes of chocolates did EACH of them sell?

Answer:

5x + 10 - 15x²

Step-by-step explanation:

5x(2 - 3x) + 4(2 - 3x) + 2 - 3x

=> 10x - 15x² + 8 - 12x + 2 - 3x

=> -5x + 10 - 15x²

This is our expression that is simplified. Hoped this helped.

Answer: 36 Pieces In The Entire Cake

Step-by-step explanation: Memo had 1/4 pieces of the total cake, so that means that there were four times the value of what Memo ate in the cake, plus what Molly ate. 12 - 4 = 8, 8 times 4 is 32, and 32 plus 4 (what Molly ate) is 36. Hope that helped!

9514 1404 393

Answer:

Step-by-step explanation:

The speed against the wind is ...

  4680 mi/(8 h) = 585 mi/h

The speed with the wind is ...

  5720 mi/(8 h) = 715 mi/h

The speed of the airplane in still air is the average of these speeds:

  (585 +715)/2 = 650 mi/h . . . speed in still air

The speed of the wind is the difference between the airplane speed and the speed in the wind:

  715 -650 = 65 mi/h . . . speed of the wind

_____

Additional comment

If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...

  p + a = with

  p - a = against

If we average these, we get ...

  ((p +a) +(p -a))/2 = (with + against)/2

  p = (with + against)/2 . . . . . . . the formula we used above

Answer:

yes, your friend is correct

Step-by-step explanation:

14 x 4 = 56 and 25 x 4 = 100

56

------ = 0.56 in decimal form

100

Answer:

5,600

Step-by-step explanation:

17% x ? = 952

when you see the word 'of' you can multiply

952 divided by 17% equals 5,600

Answer:

Sally does 1/5 of a room per hour.

Steve does 1/7 of a room per hour.

Together --> 1/5 + 1/7 = 12/35 rooms per hour.

The inverse is hours per room = 35/12

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

Parallel work is similar to parallel flow and parallel resistors.

----

PS 5*7/(5+7) = 35/12

Step-by-step explanation:

Answer: about 3 hours and 5 minutes

Step-by-step explanation:

Sally can paint [tex]\frac{1}{5}[/tex] of the room in an hour while Steve is able to paint [tex]\frac{1}{8}[/tex] in an hour.

To find how long it would take to paint the room together you add the two fractions together:

[tex]\frac{1}{5} + \frac{1}{8}[/tex]

To add or subtract fractions we find a common denominator and add the numenators:

[tex]\frac{1}{5} = \frac{8}{40}[/tex]   [tex]\frac{1}{8} = \frac{5}{40}[/tex]

[tex]\frac{5}{40} + \frac{8}{40} = \frac{13}{40}[/tex]

The inverse of the fraction is hours per room = [tex]\frac{40}{13}[/tex]

[tex]\frac{40}{13}[/tex] = 3.077 = about 3 hours and 5 minutes.

Answer:

2,1

Step-by-step explanation:

Recall that ||x||² = x • x for any vector x, so

||u + v||² = (u + v) • (u + v)

||u + v||² = (u • u) + (u • v) + (v • u) + (v • v)

||u + v||² = ||u||² + 0 + 0 + ||v||²

||u + v||² = ||u||² + ||v||²

where u • v = v • u = 0 since u and v are perpendicular.

Then

||u + v||² = (5√2)² + (6√2)²

||u + v||² = 25•2 + 36•2

||u + v||² = 122

||u + v|| = √122

Answer:

11.05

Step-by-step explanation:

Answer:

ok it is best answer very very very best

Answer:

The answer is the image I put.

Step-by-step explanation:

The equation is y=mx+b

m=slope

b=y-intercept

So, the equation is y=2/5x+-5, which i graphed for u

Hope this helps! Plz give brainliest!

The Graph of the line with slope 2/5 and y-intercept -5 is attached below.

The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

We are asked to Graph the line with slope 2/5 and y-intercept -5.

The equation is y=mx+b

m=slope

b = y-intercept

Therefore, the equation is y=2/5x+-5

Hence, The Graph of the line with slope 2/5 and y-intercept -5 is attached below.

Learn more about y-intercept here:

https://brainly.com/question/16540065

#SPJ2

Answer:

positive slope

(0,3)

slope = 2

Step-by-step explanation:

or if the angle made by the line to the x axis is < 90 it's slope is positive.

    lines passing through points (1,5) (0,3)

    slope = (3 - 5) / (0 - 1)

              = -2 / -1 = 2  

- The line is positive because it is going upwards from the bottom left to the top right

- The y-intercept is positive 3

              - It can be found by seeing where the line intercepts the y-axis when x = 0

              - Written as a coordinate point of (0, 3)

- The slope of the line is 2

              - It can be found by using "rise over run" which is the change in y divided by the change in x

Answer:

k = 8/3

Step-by-step explanation:

Hi there!

y = kx

We're given that the height of the tree is 24 feet and the length shadow is 9 feet. Plug these into the equation:

24 = k(9)

k = 24/9

k = 8/3

Therefore, k = 8/3.

I hope this helps!

Now, we will substitute the given values into the equation.

Hence, k is 8/3.

#MakeBrainlyCommunityNice

Answer:

Step-by-step explanation:

∠VWX = 92° so arc length VKX is twice that at 184°

subtracting arc angle VK means arc angle KX = 184 - 42 = 142°

This means that arc angle WVK is 360 - 102 - 142 = 116°

So unknown ∠WXK is half of that at 116 / 2 =  58°

Answer:

Step-by-step explanation:

Year on is 480 dollars and year two is 960 dollars

9514 1404 393

Answer:

  (a) $3480

  (b) $4036.80

Step-by-step explanation:

(a) The amount due on the loan at the end of 1 year is ...

  $3000×(1 +16%) = 1.16×$3000 = $3480

__

(b) The same multiplier applies to the loan value for the second year. The amount due at the end of year 2 is ...

  1.16×$3480 = $4036.80

Answer:

c= 4/3

Step-by-step explanation:

Answer:

i think its letter A

i hope thats still help

Answer:

(2,-1)

Step-by-step explanation:

Reflecting over the x-axis means the y values become negative

Answer:

30

Step-by-step explanation:

A simple way to find an unknown value in an equality with fractions is to cross-multiply:

How to cross-multiply:

1. Multiply the first numerator by the second denominator (or vise versa).

2. Multiply the second numerator by the first denominator(or vise versa).

3. Put these values into an equation, making them equal to one another.

4. Find the unknown value by solving the equation.

Now, using your problem, I will take you through the steps of cross-multiplying:

(The unknown value will be written as a variable x.)

(1.)  15 × 10 = 150

(2.)  5 × x = 5x

(3.)  5x = 150

Divide both sides of the equation by 5 to find the exact value of x.

[tex]\frac{5x}{5}[/tex] = [tex]\frac{150}{5}[/tex]

After dividing, the equation will show x = 30, which is the unknown value.

___________

[tex] \: [/tex]

[tex] \frac{15}{ \boxed{}} = \frac{5}{10} [/tex]

[tex] \frac{15}{x} = \frac{5}{10} [/tex]

[tex]x = \frac{15 \times 10}{5} [/tex]

[tex]x = \frac{150}{5} [/tex]

x = 30

Hello there!

To find the slope of a line, we need to know at least two points contained in the graph of the line.

The slope [tex]m[/tex] of a line passing through the points [tex](x_0,~y_0)[/tex] and [tex](x_1,~y_1)[/tex] is given by the formula: [tex]m=\dfrac{y_1-y_0}{x_1-x_0}[/tex].

As we can see on the graph, two points contained on the line are [tex](-2,~0)[/tex] and [tex](3,~4)[/tex].

Using the formula above, we get that:

[tex]m=\dfrac{4-0}{3-(-2)}[/tex]

Subtract the values on both numerator and denominator of the fraction

[tex]m=\dfrac{4}{5}~~\checkmark[/tex]

This is the slope of this line we were looking for.

Step-by-step explanation:

Given that Julio's Rental Cars charge $150, along with the additional $0.50 per mile traveled:

The equation that represents the given values is: y = 0.50x + 150

Where:

y = Total cost of renting a car

x = Number of miles traveled

$0.50 = Rate of change

$150 = Y-intercept

The $0.50 is the rate of change (or the slope of the equation), which represents the increase in total cost for every additional x number of miles driven.

The $150 is the y-intercept, which is the initial amount or flat fee that the company charges given the x = 0 number of miles driven.

Answer:

(x-1) (x-3) (x+2)

Step-by-step explanation:

I hope this helps!

If the order of the elements matters, we will see that there are 6,972 different possible sets, if the order does not matter, we will see that there are 3,486 possible sets.

The possible elements of the set are positive integers less than 85, then the possible elements are: 1, 2, ..., 84

So we will have a set:

{n, m}

And we know that both n and m are numbers in the interval [1, 84] (we assume that n ≠ m and that order matters.}.

For the first element, we have a total of 84 options to choose.

For the second element, we have a total of 83 options (because we selected one already).

The total number of combinations is just given by the product between the numbers of options, so we have:

C = 84*83= 6,972

There are 6,972 different possible sets.

If order does not matter, then n and m permutations are irrelevant, then the number of combinations is given by C/2:

C/2 = 6,972/2 = 3,486

In this case, there are 3,486 possible sets.

If you want to learn more, you can read:

https://brainly.com/question/25606878

Step-by-step explanation:

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 6)/(1 - 6) = (x + 5)/(2 + 5)

(y - 6)/-5 = (x + 5)/7

7(y - 6) = -5(x + 5)

7y - 42 = -5x - 25

5x + 7y = -25 + 42

5x + 7y = 17

Option → B

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{(-3-5)^2+(-5-1)^2}\implies d=\sqrt{(-8)^2+(-6)^2} \\\\\\ d=\sqrt{64+36}\implies d=\sqrt{100}\implies \boxed{d=10}[/tex]

Answer:

7/48 feet wide

Step-by-step explanation:

Answer:

1.875 feet

Step-by-step explanation:

1) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd}[/tex]

[tex]\frac{7*1}{12*4}[/tex]

2) Simplify 7 × 1 to 7.

[tex]\frac{7}{12*4}[/tex]

3) Simplify 12 × 4 to 48.

[tex]\frac{7}{48}[/tex]

Answer:

Step-by-step explanation:

[tex]6\dfrac{7}{9}=\dfrac{(6*9)+7}{9}=\dfrac{54+7}{9}\\\\\\=\dfrac{61}{9}[/tex]