A color printer can print 36 pages in 3 minutes and 108 pages in 9 minutes. If the pages varies directly with the time, at what rate is the color printer printing

Answer:

Slope =-1/2

P1 (0,4)

P2(-2,5)

Step-by-step explanation:

Slope:

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

=(3-6)/(2+4)

=-3/6

m=-1/2 = -0.5

Now finding the equation of the line passing through the 2 points:

3 = -1/2 * 2 +q

3 = - 1 +q

q=4

eq. y= -(1/2)x + 4

Let's find 2 other points

x=0

y= - 1/2 *0 +4 =4

(0,4)

x= -2

y= - (1/2)*(-2) +4 = 1+4 = 5

(-2,5)

Answer:

The correct option is;

5.89°

Step-by-step explanation:

The speed with which the plane flies = 350 mph

The direction of flight of the plane = N 40° E

The speed with which the wind blows = 40 mph

The direction in which the wind blows = S 70° E

Therefore, we have;

The resolution of the components of the motion of the plane, given as follows;

[tex]S_{Plane}[/tex] = 350 × sin(40°)·i + 350 × cos(40°)·j

The resolution of the components of the motion of the wind, given as follows;

[tex]S_{Wind}[/tex] = 40 × sin(70°)·i - 40 × cos(70°)·j

The resultant motion of the plane is given as follows;

[tex]R_{Plane}[/tex] = 262.563·i + 254.435·j

The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E

Therefore, the plane's drift = Plane's Track - Plane's Heading  = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°

Therefore, the correct option is 5.89°.

Answer:

5.89

Step-by-step explanation:

so u don't have to look at that long one lol.

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation:

Answer: DeMarco still needs 2 1/2 cups of tomato sauce.

Step-by-step explanation:

Solve for 3 3/4 cups (needed) - 1 1/4 cups (have).

2 2/4 cups

Simplify:

2 2/4 -> 2 1/2 cups

Answer:

DeMarco needs 2 2\4 cups more tomato sauce

Step-by-step explanation:

1 1\4+y=3 3\4

subtract 1 1\4 from both sides

y=2 2/4

Answer:

No

Step-by-step explanation:

It is never a right triangle unless it says so, it normally has a little square box thing on the angle that is right

Answer:

26 minutes

Step-by-step explanation:

13:47=1 hour

Multiply by 2

26:94= 2 hours

Answer:

New time to find all balls = 23.75 hours

Step-by-step explanation:

Given:

Total time = 95 hour

Total people = 1 Lillian + 3 friends = 4

Find:

New time to find all balls

Computation:

New time to find all balls = 95 / 4

New time to find all balls = 23.75 hours

Area = lw

Area = 14 x 11

Area = 154 square feet

Answer: 6

Step-by-step explanation: :)

Answer:

6

Step-by-step explanation:

hi

slope  is  1/2

You have A (0;0) and B ( 2;1)  

slope  is  ( Yb-Ya )/(Xb-Xa) =   (1-0)/ ( 2-0) = 1/2

Answer:

157.5

Step-by-step explanation:

Anwer:

14 cm

Step-by-step explanation:

Let's apply the Phytagorean Theorem [tex]a^{2}+b^{2}=c^{2}[/tex]

Since we only have one side and the hypotenuse:

[tex]a^{2}+24^{2}=28^{2}\\a^{2}+576=784\\a^{2}=784-576\\a^{2}= 208\\[/tex]

[tex]a=\sqrt{208}\\a= 14.42\\a= 14 cm[/tex]

The length of the wall is approximately 14.4 units.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Maria is putting up a shelf on a wall in her closet.

The figure below shows triangle ABC, which represents a bracket that will be used to support the shelf.

AC = 24, BC = 28 = hypotenuse, AB = wall

Using the Pythagorean theorem, we can solve for the length of AB (the wall):

AB² = BC² - AC²

AB² = 28² - 24²

AB² = 784 - 576

AB² = 208

AB = sqrt(208)

AB ≈ 14.4

Therefore, the length of the wall is approximately 14.4 units.

To learn more about the Pythagoras theorem;

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Answer:

2,500

Step-by-step explanation:

The weight of the oranges was 2.5 kilograms, the number of grams is,  2500g. So Option D is correct.

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorised.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

Ralph bought some oranges.

The weight of the oranges was 2.5 kilograms.

The number of grams = ?

It is known that,

1 kilogram = 1000 gram

so 2.5 kg will be equal to

⇒ 2.5 x 1000

⇒ 2500 g

Hence, the number of grams is 2500g

To know more about Units check:

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Answer:

Bosian used the wrong conversion for converting Gallons to Quarts. The correct conversion is: 1 gallon = 4 Quarts and correct solution is: 5 gallon = 20 quarts

Step-by-step explanation:

Bosian Conversion from Gallons to Quarts

He had 5 gallons

He said that 1 gallon = 5 quarts

So, 5 gallons = 5*5 = 25 quarts

Mistake of Bosian:

He used the wrong conversion: i.e, 1 gallon = 5 quarts

The correct conversion is:

1 gallon = 4 quarts

Correct Solution:

1 gallon = 4 quarts

So, 5 gallons = 5*4 = 20 quarts

c

I saw this test my cousin had it

Answer:D

Step-by-step explanation:

Answer:

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

Step-by-step explanation:

Given the function

[tex]\:g\left(n\right)\:=-n\:+\:2[/tex]

As we know that a function g is the inverse of function if for [tex]y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]

[tex]y=-n+2[/tex]

Replace n with y

[tex]n=-y+2[/tex]

Solve for y,

[tex]n=-y+2[/tex]

[tex]y=2-n[/tex]

Therefore,

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

Answer:

x= c/14

Step-by-step explanation:

add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.

Answer:

ASA congruence (A)

Step-by-step explanation:

These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.

HTH :)

Answer:

3 ways

Step-by-step explanation:

How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.

We solve using combination

n-1 C r-1 = nCr = n!/r! (n - r)!

n = 4 identical marbles

r = 3 jars

Hence:

4 - 1 C 3 - 1 = 3C2

= 3!/2! (3 - 2)!

= 3 ways

Answer:

$50,290

Step-by-step explanation:

I was earning $47,000 per year until she received a 7% raise at the start of 2019.

Step 1

We find how much 7% raise is

Hence,

7 % of $47,000

= 7/100 × $47,000

= $3290

What will her new salary be?

Her new salary is calculated as:

Last year's salary + 7% raise

= $47,000 + $3290

= $50,290

Her new salary is $50,290

Answer:

y=x+1

or x=y-1

Step-by-step explanation:

Answer: k = 10

because ∠MYZ  is the outer angle of the triangle XYZ

=> ∠MYZ = ∠YZX + ∠YXZ

⇔ 115° = (4k + 5)° + (6k + 10)°

⇔ 115 = 10k + 15

⇔ 10k = 100

⇔ k = 10

Step-by-step explanation:

Answer:

-x + 5y + 7

-This should be the answer

Answer:

30 cm, and another is 45 cm.

Step-by-step explanation:

First, we need to subtract 15 from 75, giving us 60. Then, we divide 60 by 2, giving us 30, which is the length of one part. We add 15 back to 30, which gives us 45. One part is 30 cm and the other is 45 cm

Answer:

Is that all you need help with or you need help with more?

Step-by-step explanation: