The chef made 45 pancakes in 6 minutes. How many pancakes did she make in 1 minute?

Answer:

  (x, y) = (-7, 11)

Step-by-step explanation:

The system of exponential equations can be solved by the use of logarithms. Equivalently, the equations can be written so that exponents can be equated. This system is equivalent to two linear equations.

First equation:

  2^(x+y) = 16

  2^(x +y) = 2^4 . . . . use the same base to write the constant

  x +y = 4 . . . . . . . . equate exponents of 2 (take log₂ of both sides)

Second equation:

  2^(2x +y) = 1/8

  2^(2x +y) = 2^(-3) . . . . use the same base to write the constant

  2x +y = -3 . . . . . . equate exponents of 2

Solve the linear equations:

We can subtract the first equation from the second to get ...

  (2x +y) -(x +y) = (-3) -(4)

  x = -7

  y = 4 -x = 4 -(-7) = 4 +7 = 11 . . . . use the first equation to find y

The solution to the system is (x, y) = (-7, 11).

This [tex]4x^2 - 12x + 9[/tex] factors into [tex](2x - 3)^2[/tex], and is thus a perfect square trinomial.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

Trinomial [tex]Ax^2 + Bx + C[/tex] is a perfect square if

A > 0

C > 0

B = ±2√A√C

1. [tex]36b^2 - 24b - 16[/tex]

C < 0

2. [tex]4a^2 - 10a + 25[/tex]

2√A√C = 2×2×5

              = 20,

B = −10

3. [tex]16x^2 + 24x - 9[/tex]

not a perfect square,

C < 0

4. [tex]4x^2- 12x + 9[/tex]

perfect square

A>0,

C>0,

2√A√C = 2×2×3

-B = 12

= [tex](2x - 3)^2[/tex]

Thus,  [tex]4x^2- 12x + 9[/tex] the polynomial is a perfect square trinomial.

Learn more about perfect square;

https://brainly.com/question/1832550

Answer:

50%

Step-by-step explanation:

Hope this helped

Maybe mark brainiest

Dime = 10 cents

Nickel = 5 cents

Total value of coins = 3(10) + 4(5) = 30 + 20 = 50

To find the percent, first create a fraction. The fraction will be the amount of money that Benjamin has over the total (one dollar).

50 / 100 = 5 / 10 = 0.5

0.5 x 100 = 50

50%

Answer: 50% of a dollar

Hope this helps!

Answer:

Step-by-step explanation:

If 70% passed both, then that means 30% passed either one test, or neither test.

Since 80% passed the first test, we know that 20% of the students failed the first test.

This means that the other 10% of the students came from the 80% that already passed the first test.

These make up 10/80 = 12.5% of the people that passed the first test, meaning your answer is 100-12.5=87.5%

Answer:

40" by 50"

Step-by-step explanation:

From inspection of the diagram,

height of 2 squares of the quilt ≈ height of doll plus a little bit

⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in

⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in

As the height of a square = width of a square

⇒ width of 1 square of the quilt ≈ 10 in

Dimensions of the quilt

width = 4 squares = 4 × 10 = 40 in

height = 5 squares = 5 × 10 = 50 in

Ratios

We can also work out the width and height by using ratios.

The ratio of width to height of the quilt = 4 squares : 5 squares

If we multiply by 10, the ratio becomes 40 : 50

Final Solution

40" by 50"

Answer:

[tex]\boxed{\sf{(x-4)(x-6)}}[/tex]

Step-by-step explanation:

In order to solve this problem, all you have to do is multiply their expressions by their factors.

To begin, you must group these expressions.

[tex]\sf{x^2-10x+24=\left(x^2-4x\right)+\left(-6x+24\right)}[/tex]

After that, you factor.

Solve.

[tex]\sf{x^2-4=x(x-4)}[/tex]

-6x+24=-6(x-4)

Then rewrite the problem down.

x(x-4)-6(x-4)

Factor by the common term.

(x-4)(x-6)

Therefore, the final answer is (x-4)(x-6).

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

The answer is G.

Step-by-step explanation:

Trust me.

Answer:

J is the answer

Step-by-step explanation:

I had given the explanation but brainly deleted it for having a link.

Just use this:

"What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Example: Finding the five-number summary

A sample of 101010 boxes of raisins has these weights (in grams):

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Make a box plot of the data.

Step 1: Order the data from smallest to largest.

Our data is already in order.

252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838

Step 2: Find the median.

The median is the mean of the middle two numbers:

252525, 282828, 292929, 292929, \large{30}3030, \large{34}3434, 353535, 353535, 373737, 383838

\dfrac{30+34}{2}=32

2

30+34

​

=32start fraction, 30, plus, 34, divided by, 2, end fraction, equals, 32

The median is 323232.

Step 3: Find the quartiles.

The first quartile is the median of the data points to the left of the median.

252525, 282828, \large{29}2929, 292929, 303030

Q_1=29Q

1

​

=29Q, start subscript, 1, end subscript, equals, 29

The third quartile is the median of the data points to the right of the median.

343434, 353535, \large{35}3535, 373737, 383838

Q_3=35Q

3

​

=35Q, start subscript, 3, end subscript, equals, 35

Step 4: Complete the five-number summary by finding the min and the max.

The min is the smallest data point, which is 252525.

The max is the largest data point, which is 383838.

The five-number summary is 252525, 292929, 323232, 353535, 383838.

Example (continued): Making a box plot

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Step 2: Draw a box from Q_1Q

1

​

Q, start subscript, 1, end subscript to Q_3Q

3

​

Q, start subscript, 3, end subscript with a vertical line through the median.

Recall that Q_1=29Q

1

​

=29Q, start subscript, 1, end subscript, equals, 29, the median is 323232, and Q_3=35.Q

3

​

=35.Q, start subscript, 3, end subscript, equals, 35, point

Step 3: Draw a whisker from Q_1Q

1

​

Q, start subscript, 1, end subscript to the min and from Q_3Q

3

​

Q, start subscript, 3, end subscript to the max.

Recall that the min is 252525 and the max is 383838.

We don't need the labels on the final product:

Want to learn more about making box and whisker plots? Check out this video.

Want to practice making box plots? Check out this exercise."

Hey there!

Answer:

336.84%

3200 out of 950 is 336.84%

Solution:

3200 out of 950 is what %?

3200 out of 950 is P%

Equation: Y/X = P%

Solving our equation for P

P% = Y/X

P% = 3200/950

p = 3.3684

Convert decimal to percent:

P% = 3.3684 * 100 = 336.84%

well, if we take 3200 to be the 100%, what is 950 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 3200 & 100\\ 950& x \end{array} \implies \cfrac{3200}{950}=\cfrac{100}{x}\implies \cfrac{64}{19}=\cfrac{100}{x} \\\\\\ 64x=1900\implies x=\cfrac{1900}{64}\implies x = 29.6875[/tex]

Answer:

  (b)  65/27

Step-by-step explanation:

Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.

The sum represented by the summation symbol is ...

  5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3

  = 5(1 -2/3 +4/9 -8/27)

  = 5/27(27 -18 +12 -8)

  = 5(13/27) = 65/27

__

There is a formula for the sum of a geometric series:

  Sn = a1×(1 -r^n)/(1 -r)

Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...

  S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27

answer:

step by step explanation:

10-4 = c

6 = c

he can buy 2 pounds of cherries

2. 2 can be the value of c

c = 2

10- 4c

10- 4(2)

10 - 8 = 2

c = 3

10 - 4c

10- 4(3)

10 - 12 = -2

c = -1

10 - 4(-1)

10 - (-4)

10 + 4

= 14

manage this

mark me brainliest

Answer:

(x - 5) / (x - 6) (don't put them in brackets, i'm doing this to signify that all of x - 5 is being divided by all of x - 6).

Step-by-step explanation:

x² + 2x - 35:

what multiplies into -35 and adds into 2?

7 and -5

so the top is now (x + 7)(x - 5)

x² + x - 42

what multiplies into -42 and adds into 1?

-6 and 7

so the bottom is now (x + 7)(x - 6)

the 2 lots of (x + 7) cancel and you are left with (x - 5) / (x - 6)

Answer:

[tex]\frac{x-5}{x-6}[/tex]

Step-by-step explanation:

Let's start with the numerator to factor it.

We need two numbers adding up to 2 and multiplying to -35. Easy to see the number are +7 and -5. You can then factor as [tex]x^2+2x-35=(x+7)(x-5)[/tex]

Denominator then. Same story, Two number adding to 1 and multiplying to -42. Numbers are +7 again and -6. Factors as before:

[tex]x^2+x-42=(x+7)(x-6)[/tex].

Now you can simplify

[tex]\frac{x^2+2x-35}{x^2+x-42} = \frac{(x+7)(x-5)}{(x+7)(x-6)}= \frac{x-5}{x-6}[/tex]

Answer:

in 7 mins she can hop 21 times

Step-by-step explanation:

24 divided by 8 = 3

24-3=21

Answer:

Natalie can hop 21 times in 7 minutes

Step-by-step explanation:

To figure out how many times she can hop in 7 minutes you need to find the average hop each minute.

First, you write 24/8. You simply that to 3/1.

So Natalie can jump 3 times in 1 minute.

If you want 7 minutes, you multiply 1 by 7, and 3 by 7, which gets you 21 hops for 7 minutes.

-I hope this helps!

Answer:

x = 49º

Step-by-step explanation:

This is  right angle, and right angle's are always a 90º angle. 90º - 41º is 49.

So the basic answer is 49, but it's properly written as "49º".

Hope this helps!!

The value of x: 49 degrees

Note: All the angles in a triangle add up to 180 degrees

What we're given:

41 degrees, A right angle, and x.

A right angle is 90 degrees.

Equation:

41 + 90 + x = 180

131 + x = 180

x = 49 degrees

Answer:

16

Step-by-step explanation:

2 from 3 days

another 2 on 2 days

5 for 1 day

7 for 0 days

2+2+5+7= 16

Answer:

  b.  √3

Step-by-step explanation:

Given a point on the unit circle that represents the position of the terminal ray of an angle, the tangent of that angle is the ratio of the y-coordinate to the x-coordinate.

  tan(4π/3) = y/x = (-√3/2)/(-1/2) = √3/1

  tan(4π/3) = √3

_____

Additional comment

A calculator can confirm this for you.

Answer:

c

Step-by-step explanation:

Answer: amplitude is 5 and Period is pi/2

Step-by-step explanation:

yes ‍♀️

Volume:-

Step-by-step explanation:

Given:-

To Find:-

Solution:-

SP = MP - Discount.

Discount = (Discount %) of MP

Discount = (5/100) 54p

Discount = 27 Rs

Subtract discount from MP to get SP

SP = MP - Discount

SP = 540 - 27 Rs

SP = 513 Rs

Answer;

soln;

MP= Rs 540

discount = 5%

now,

SP = MP - D% of MP

    = 540 - 5/100 * 540

    =Rs 513

Answer:

200/7

Step-by-step explanation:

(2 meters)/(7 centimeters) or (2m/7cm)

1 meter = 100 cm

(2m/7cm)*(100cm/1m) = 200/7 (or   28.57) scale factor.

The correct transformation of P(x) to get I(x) is I(x) = 2P(x)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

From the graph of I(x) and P(x), we can see that:

I(x) = 2P(x)

The correct transformation of P(x) to get I(x) is I(x) = 2P(x)

Find out more on transformation at: https://brainly.com/question/1548871

Answer:

3x 5

Step-by-step explanation:

Answer:

The equation of the parabola which opens left or right is (B) x= ay^2 + by + c

:)

Answer:

it'sssssss 2.51

Step-by-step explanation:

========≈==================

Answer:

-14

Step-by-step explanation:

-8 = 3/2 x 4 + ?

-8 = 6 + ?

-8 - 6 = -14

Your answer will be -14.

Have an amaizng day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

3 * 1/2 * 5 * 4.5

= 33.75 fT^2.

Answer:

27

Step-by-step explanation:

multiply 9 x 6 and you get 54. Since it's a triangle divide by 2 and you get 27

Answer:

x = 102.5°

Step-by-step explanation:

these two angles are adjacent and supplementary which means their sum must be equal to 180 degrees

create this equation to find 'x':

x + x-25 = 180

combine 'like' terms:

2x - 25 = 180

add 25 to each side:

2x = 205

x = 205/2 or 102.5°

Answer:

$1.66 or $1.70 if you round up

Step-by-step explanation:

Answer:

14,464

Step-by-step explanation:

16,000 - 20% = 12,800

12,800 + 13% = 14,464

I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)