A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday,

number of packs
of black pens sold:
number of packs of red pens sold: number of packs of green pens sold =7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.

9514 1404 393

Answer:

  A. dollars = euros × 0.75

  B. the exchange rate is the slope of the graph

Step-by-step explanation:

A. The graph indicates 1 euro will be exchanged for 0.75 dollars, or 4 euros for 3 dollars.

__

B. This exchange rate is the slope of the line on the graph: 0.75 dollars per euro.

Answer: 40x-21y+4

Step-by-step explanation:

[tex]\frac{1}{5}(150x-80y+50x-25y+20)\\\\=\frac{1}{5}(200x-105y+20)\\\\ =\boxed{40x-21y+4}[/tex]

Answer:

a. y=4

b. graph the given and y=4

Step-by-step explanation:

The given is y= 8 sin(x) cos(x)

to get y' which is the slope of the tangent line we take the derivative

for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')

thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))

-8sin^2(x)+8cos^2(x)

You can also leave the 8 differentiated out depending on the form you need.

Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point

=8sin^2(pi/4)+8cos^2(pi/4)

this would equal -8*1/2 +8*1/2 which equals 0

the slope of the tangent at this point would be zero

To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)

this means the point slope equation would be

y-4=0(x-pi/4)

y-4=0

y=4

To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)

Answer:

D

Step-by-step explanation: i <3 satistics so much

Answer:

6 ft

Step-by-step explanation:

Multiply by 2 on each side: (8*2) = (3*2)

New ratio: 16 = 6

Final answer: 6ft

Answer:

20 guests

Step-by-step explanation:

20 (20) + 400 = 400 + 400 = 800

10 (20) + 600 = 200 + 600 = 800

answer B = 20 guests

Answer:

For 20 persons the price would be same.

Step-by-step explanation:

y=y

20x+400=10x+600

20x-10x=600-400

10x=200

x=20

Therefore, for 20 persons the price would be same.

Answer:

44.52

Step-by-step explanation:

Volume = b * h

base times height

The height is 8.4 inches so 8.4 *

Length is the same as base so 5.4

8.4 * 5.4

Answer:

80 miles

Step-by-step explanation:

The map scale compares the  distance between two points on the map with the corresponding distance on the ground.

That is,

[tex]\boxed{\mathfrak{map\:scale=\frac{distance\:on\:map}{distance\:on\:ground} }}[/tex]

The formula makes it pretty easy to solve!

Substituting these values in the above mentioned formula:

[tex]\implies \mathsf{\frac{1 \:inch}{20\:miles} =\frac{4\:inches}{x\:miles} }[/tex]

cross multiplying:

[tex]\implies\mathsf{x=4 \times 20}[/tex]

[tex]\implies \mathsf{x=80}[/tex]

That makes the actual distance 80 miles!

You can also use simple unitary method here:

1 inch on the map = 20 miles on the ground

∴ 4 inches on the map = 4 × 20 miles on the ground

= 80 miles on the ground

Answer:

it is five

Step-by-step explanation:

5v-2=8 then v=x2 because 5x2=10-2=8

so 7v-9=5

The correct answer is 5

Answer:

[tex]b_{2} = \frac{2A}{h} - b_{1}\\[/tex]

Step-by-step explanation:

[tex]A = \frac{1}{2} h(b_{1} +b_{2})\\2A = h(b_{1} +b_{2})\\\frac{2A}{h} = b_{1} +b_{2}\\\frac{2A}{h} - b_{1} = b_{2}\\[/tex]

The equation of line from the graph is y = 3x + 4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The equation y = 3x + 4 represents a line in the coordinate plane.

To graph this line, we can plot a few points

when x=0, y=3(0)+4=4,

So we have the point (0,4)

when x=1, y=3(1)+4=7,

So we have the point (1,7)

when x=-2, y=3(-2)+4=-2,

So we have the point (-2,-2)

Plotting these points and connecting them with a straight line, we get the graph of the line

Hence , the equation of line is y = 3x + 4

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The bag of dog food would last for 21 days.

The bag contains 42 cups of dog food. If the dog eats [tex]2\frac{1}{3}[/tex] cups everyday, the amount of cup in the bag decreases by [tex]2\frac{1}{3}[/tex] cups everyday. This can be represented with this expression: 42 - [tex]2\frac{1}{3}[/tex]d. Where d represents the number of days.

In order to determine the number of days in which the bag would be emptied, this equation can be used:

Number of days the dog food would last = number of cups in the cup / amount the dog eats each day

42 ÷ [tex]2\frac{1}{3}[/tex]

42 ÷ [tex]\frac{7}{3}[/tex]

42 x [tex]\frac{3}{7}[/tex] = 21 days

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Answer:

steps below

Step-by-step explanation:

Set    log x = a     and     log y = b

x = 10ᵃ     and       y = 10ᵇ

if a>b      10ᵃ > 10ᵇ

so  x > y

x = 57²⁰¹⁸              y = 51²⁰²⁰

log x = log 57²⁰¹⁸ = 2018 * log 57 = 3543.36 :  (a)

log y = log 51²⁰²⁰ = 2020 * log 51 = 3449.29 : (b)

3543.36 > 3449.29       log x > log y    

x > y:        57²⁰¹⁸ > 51²⁰²⁰

Answer

I guess so.

To find the LCM you need to know the lowest digit as possible.

For example,

Question: What is the LCM of 8 and 6?

Answer: Table of 8: 8, 16, 24, 32, 40,48

             Table of 6: 6, 12, 18, 24, 30, 36, 42, 48

Now look at the tables again and, did you see the LCM???......

If so your answer would be 24.

Step-by-step explanation:

Step-by-step explanation:

if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.

the inverse function simply tries to calculate the original x it of the original y.

and then, to make it a formal function, we rename x to y and y to x.

y = 3x³

x³ = y/3

[tex]x = \sqrt[3]{ \frac{y}{3} } [/tex]

=> as "regular" function

[tex]y = {f}^{ - 1} (x)= \sqrt[3]{ \frac{x}{3} } [/tex]

Answer:

1. 5

2. 1.29

3. 9.90

Step-by-step explanation:

They are buying 5 of each thing, so multiply it by 5.

The diced tomatoes cost $1.29.

When you solve the equation, you get 9.9. Convert that to money, and you have $9.90

Answer:

1/64

Step-by-step explanation:

4x4^3/4^7

4^-3

1/4^3

1/64

Answer:

36/12=3

12/4=3

Therefore, common ratio is 3

Tn = ar^(n-1)

T0=4*3^(0-1)

4*1/4

4/3

Answer:

2 1/4

Step-by-step explanation:

First, for adding, subtracting, and comparing fractions, it is good to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators = LCM ⇒ (2, 4) = 4. We should do = three halfs + three quarters = nine quarters.  Thus, 2 1/4 or 2.25 is the answer.

1 1/2 + 3/4 = 9/8 = 2 1/4 or 2.25

Feel free to rephrase this in your own words! Hope this helps!

answer: the inequality is 3+7(x)<24

x=x < 3 2/7

Step-by-step explanation:

because...

3 + 7x < 26

7x < 23

x < 23/7

x < 3 2/7

Answer:

More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24

3x7=21 and that's 3 less than 24

The answer is 3

Step-by-step explanation:

Answer:

jjztztjsyiydkkyddyoydoxhkyxyxi

Step-by-step explanation:

hmxkhxkyxhmxykxm

Answer:

The answer would be the A (I included a picture to show you which one it is)

Step-by-step explanation:

Options D and E are out because it clearly says " bags can only carry up to 480 pound" and those are saying it can hold more than 480

Options B and C have a dashed line. If it has a dashed line that means that it is < or > and it is not because it says "up to" up to means it CAN hold exactly 480

So the only right answer would be Option A

Answer:

A

Step-by-step explanation:

Got it right off Edmentum!!

Answer: 4.3 × 10^6 meters, and 4.3 × 10^9 millimeters.

Explanation: In order to find the scientific notation of a large number, you want to move the decimal point to the left until you only have one digit to the left of the number, then you can count the spaces you have moved, and this will make the power of 10 that you'll add to the end. This seems a little confusing, but let's look at it through the example.

Step 1) Move the decimal point to the left until there's only one digit to the left of the decimal:

4,300,000 turns into 4.300000

Step 2) Count the number of digits you've moved.

Above, we moved 6 spaces to the left.

Step 3) Add the decimal to the front, and then 10^the number of spaces you moved

4.3 (from step one) × 10^6 (from step two)

= 4.3 × 10^6

It works the same way for the millimeter question, just convert meters into millimeters before you start the problem, and then solve it using the steps above! I hope this helped you :)

The scientific notation in meters and millimeters are

- 4.3 x [tex]10^{6}[/tex] meters

- 4.3 x [tex]10^{9}[/tex] millimeters

It is a way of writing very large or very small numbers where a number between 1 and 10 is multiplied by a power of 10.

Example:

310,000,000 can be written in scientific notation as 3.1 ✕ 10^8.

We have,

Distance = 4,300,000 meters

1 meter = 1000 millimeters

So,

4,300,000 meters = 4,300,000,000 millimeters

We can write 4,300,000 in scientific notation as:

= 4.3 x [tex]10^{6}[/tex] meters

We can write 4,300,000,000 millimeters in scientific notation as:

= 4.3 x [tex]10^{9}[/tex] millimeters

Thus the scientific notation in meters and millimeters are

- 4.3 x [tex]10^{6}[/tex] meters

- 4.3 x [tex]10^{9}[/tex] millimeters

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Step-by-step explanation:

A=hbb

=42· 0 x30.9

=648.9

Answer:

(x + 1)(x - 7) is the odd one.

Step-by-step explanation:

1) sum= 8

Product = 7

Factors = 1 , 7    {1*7 = 7  & 1+7 = 8}

x² + 8x + 7 = x² + x + 7x + 7

                 = x(x +  1) + 7(x + 1)

                 =(x +1 )(x + 7)

2) x² - 8x + 7 = x² -x -7x + (-1)*(-7)

                      = x(x - 1) - 7(x - 1)

                     =(x - 1)( x - 7)

3)Sum = 6

Product = -7

Factors = (-1) , 7   { -1 + 7 = 6   & (-1)*7 = -7}

x² + 6x - 7 = x² - x + 7x - 7

                   = x(x - 1) + 7(x - 1)

                   = (x  - 1)(x + 7)

Answer:

(x+1)(x-7) is the odd one out

Answer:

-4/45

Step-by-step explanation:

[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]

14 and 35 are given by 7th table.

               [tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]      

Now , 6 and 27 are given by 3rd table

                [tex]=\dfrac{-4}{45}[/tex]

Answer:

-4/45

Step-by-step explanation:

2.03 Quiz: Multiply Signed Fractions

Answer:

THey are countin by 2 and 5 on the graph

Step-by-step explanation: