the teacher had 9 pencils. she gave 6 pencils as prizes to the students what fraction of pencils did she have left.

Given expression:

To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.

   [tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]

   [tex]\implies \dfrac{[8 - 6]}{10}[/tex]

   [tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]

When 2/10 is simplified in lowest terms, we get;

   [tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]

Therefore, 0.8 - 0.6 in fraction form is 1/5.

Answer:

334 dozen cookies.

Step-by-step explanation:

1000=3x

Let x = dozen of cookies sold

3x=1000

x=1000/3

x=333.33

Since 333.33 isn't a whole number, we need to round it up to 334 since rounding it down to 333 won't raise 1000 dollars.

ENGLISH:

Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.

To evaluate an algebraic expression, replace the variable(s) with known values ​​and then use the order of operations.

For your convenience, you can use parentheses when entering negative values ​​in variables.

[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]

4 hours 12 minutes

Step-by-step explanation:

We need to convert time in hours by diving 15 by 60

[tex] \sf 2 \frac{15}{60} \\ \\ \sf 2 \frac{1}{4} [/tex]

as it is mixed fraction we will convert into improper

[tex] \sf \frac{(2 \times 4) + 1}{4} \\ \\ \sf time = \frac{9}{4} hours[/tex]

Now we need to find distance

[tex] \sf \green {distance = speed \times time}[/tex]

Here speed is 50km/h

[tex] \sf \implies distance = 50 \times \frac{9}{4}km \\ \\ \sf \implies distance = \frac{25 \times 9}{2}km \\ \\ \sf \implies distance = \frac{225}{2} km \\ \\ \sf \implies \red {distance = 112.5km}[/tex]

Now we have to have time at new speed at 27km/h

and distance is same

[tex] \sf \pink{ time = \frac{distance}{speed} }[/tex]

Now substituting the value of speed and distance

[tex] \sf \implies time = \frac{112.5}{27} [/tex]

Now we will remove point(.) from the distance by multiplying 10 with 27

[tex] \sf \implies time = \frac{1125}{27 \times 10} \\ \\ \sf \implies time = \frac{41.6}{10} [/tex]

now we will convert it into mixed fraction

[tex] \sf \implies time = 4 \frac{1}{5} hours [/tex]

Now we will convert fraction hours into minutes by multiply with 60

[tex] \sf \implies time = 4 \: hours \: \frac{1}{5} \times 60 \: minutes \\ \\ \sf \implies \orange{ time = 4 \: hours \: 12 \: minutes}[/tex]

Answer:

x^2 + 5x - 14

Step-by-step explanation:

We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.

Therefore, we can put this into brackets as one bracket must equal 0.

(x - 2) (x + 7)

After this we expand, which is a process easier to search up

The answer is:

x^2 + 7x - 2x - 14

We can simplify this to:

x^2 + 5x - 14

x^2 represents x squared in case you were wondering

Therefore, the answer is:

x^2 + 5x - 14

Answer:

A. 3b + 2

Step-by-step explanation:

We know that Tony ordered 3 copies and the shipping costs $2, what we don't know is b.

What don't we know? The cost of the 3 copies.

So 3b (3 multiplied by the cost(?)) + (because shipping is more money so we use addition.) and we know that the shipping is $2. Therefore our expression is

3b + 2

Answer:

[tex] \frac{ - 2x - 2}{ {x}^{2} + 2x - 3 } [/tex]

is the answer

Answer:

I believe it is y-5=3(x+7)

Step-by-step explanation:

Point Slope form = y-y1=m(x-x1)

The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.

Answer:

Step-by-step explanation:

Using formula y=kxz

so,

24=k*4*3

k=2

so if we put x=12 and z=4,

y=2*12*4

y=48

Answer:

-25 on painting supplies, +144 painting faces, +119 net gain

Step-by-step explanation:

spent = negative

earned = positive

net gain = earned - spent (sometimes it can be negative is you spend more than you make)

Answer:

22.5¢ per oz

Step-by-step explanation:

24 oz cost = $5.30

1 oz cost = $5.40/24 = 22.5¢ per oz

Answer:

0.22.5

Step-by-step explanation:

Step-by-step explanation:

this is the answer

hope it help

Answer:

dilation with respect to the origin by a scale factor of 1/3 followed by a translation of 2 units down

Step-by-step explanation:

The sides of the △ HIJ are:

IH = 6

IJ = 3

Applying the scale factor we obtain the sides of △ H'I'J '.

The scale factor is k = 1/3.

Therefore, we have:

I'H '= 2

I'J '= 1

Then, we move the △ H'I'J 2 units down.

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

 ‎‎‎‎ ‎ ‎ ‎ ‎‎ ‎‎‎‎ ‎‎       ‎      ‎      ‎      ‎     ‎    ‎    ‎   ‎

Answer:

B

Step-by-step explanation:

first of all articles are perfect and there is . sign at the last of the sentence

Answer:

The answer is (-2,0)

Step-by-step explanation:

The rest of them is not a right triangle or just upside down.
Hope this helps! ;-)

Answer:

Parellel: y=-2x+17

Perpendicular: y=2x-3

Step-by-step explanation:

Hope this helps! ;-)

So

And

sin47=0.73

cos47=0.68

So meanwhile sin is greater so 6sin is also greater

Answer:

Ship 2

Step-by-step explanation:

From inspection of the diagram, the problem has been modeled as a right triangle.  Therefore, to find [tex]x[/tex] and [tex]y[/tex], use trigonometric ratios then compare to determine which distance is the smallest.

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

To find [tex]x[/tex] use the sine trig ratio:

[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]

[tex]\implies \sin(47^{\circ})=\dfrac{x}{6}[/tex]

[tex]\implies x=6 \sin(47^{\circ})[/tex]

[tex]\implies x=4.39 \: \sf miles \:(2\:dp)[/tex]

To find [tex]y[/tex] use the cosine trig ratio:

[tex]\implies \sf \cos(\theta)=\dfrac{A}{H}[/tex]

[tex]\implies \cos(47^{\circ})=\dfrac{y}{6}[/tex]

[tex]\implies y=6 \cos(47^{\circ})[/tex]

[tex]\implies y=4.09 \: \sf miles \: (2 \: dp)[/tex]

As 4.09 < 4.39, ship 2 is currently closer to the coast guard.

Answer:

<B = 52°

Step-by-step explanation:

The triangle is 180° Angle A and B add up to 118°

4y° + (3y + 7)° = 112°

7y + 7 = 112°

7y = 105

y = 15

Since you solve for y, plug your y into the angles to solve.

<B = 3y + 7

<B = 3 * 15  + 7

<B = 45 + 7

<B = 52°

Answer:

f(3) = 42

Step-by-step explanation:

f(x) = 3x² + 5x

Then

f(3) = 3(3)² + 5(3)

      = 3×9 + 5×3

      = 27 + 15

      = 42

Answer:

Domain=[67,78]

Step-by-step explanation:

To find domain:

  ⇒ must define what is a domain

       ⇒ Domain is the set of input values or the values of the x-axis of

           graph that is covered by the function

Based on the definition:

    ⇒ 67 ≤ x ≤ 78 is the domain of the function

Answer: 67 ≤ x ≤ 78 where x is a whole number

Hope that helps!

Answer:

see the attachment photo!

Reason:

The domain is the set of allowed x inputs.

The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.

The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.

The arrow pointing to the left indicates that piece goes on forever in that direction.

Answer:

x < 7

Step-by-step explanation:

The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)

At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.

The domain of the function is :

Answer:

Can you show me the question? Because the picture doesn't have enough datum