Amy bakes 250 chocolate chip cookies and sells these in boxes of 9. How many full boxes will she have?

Answer:

Step-by-step explanation:

Answer:

If you factorise it you should get (3y+5)(2y+1)

Answer:

232.6 metres after 3.8 seconds.

Step-by-step explanation:

h(t) = -16t² + 122t

a = -16  b = 122  c = 0

Substitute into the quadratic formula

(Ignore the Â)

[tex]x =  \frac{-b±\sqrt{b^{2}-4ac}}{2a} [/tex]

[tex]x =  \frac{-122±\sqrt{122^{2}-4(-16)(0)}}{2(-16)} [/tex]

[tex]x =  \frac{-122±122}{-32} [/tex]

Split the equation at the ±

[tex]x =  \frac{-122+122}{-32}[/tex]        [tex]x =  \frac{-122-122}{-32} [/tex]

[tex]x =  \frac{0}{-32}[/tex]                    [tex]x =  \frac{-244}{-32} [/tex]

[tex]x = 0[/tex]                                       [tex]x = \frac{61}{8}[/tex]

The two x-intercepts at 0 and 61/8. The midpoint of the x-intercepts is the axis of symmetry, which is the x-coordinate of the vertex.

Midpoint = [0 + (61/8)] / 2

Midpoint = 61/16   <= This is the time for maximum height

t = 61/16

t = 3.8125  => Round to t = 3.8

To find the maximum height, substitute t=61/16 into the equation

h(t) = -16t² + 122t

h(61/16) = -16(61/16)² + 122(61/16)

h(61/16) = 232.5625  => Round to h = 232.6

Therefore, the ball will reach the maximum height of 232.6 metres after 3.8 seconds.

The sizes of the angles are 34° , 44° , 102°

Step-by-step explanation:

The given is:

We need to find the size of each angle in the triangle

∵ The size of the smallest angle = x°

∵ The size of the largest angle is 3 times the size of the smallest angle

∴ The size of the largest angle = x × 3 = (3x)°

∵ The third angle is 10° more than the smallest angle

∴ The size of the third angle = (x + 10)°

Add the size of the three angles and equate the sum by 180°

∵ The sum of the sizes of the interior angles of a Δ is 180°

∴ x + (3x) + (x + 10) = 180

∴ x + 3x + x + 10 = 180

- Add like terms

∴ 5x + 10 = 180

- Subtract 10 from both sides

∴ 5x = 170

- Divide both sides by 5

∴ x = 34

∵ x is the size of the smallest angle

∴ The size of the smallest angle is 34°

∵ 3x is the size of the largest angle

∴ The size of the largest angle = 3(34) = 102°

∵ x + 10 is the size of the third angle

∴ The size of the third angle = 34 + 10 = 44°

The sizes of the angles are 34° , 44° , 102°

Learn more:

You can learn more about the triangles in brainly.com/question/1479138

#LearnwithBrainly

Answer:

8 minutes

Step-by-step explanation:

It takes 2 minutes every 2 floors, and Floor 9 is 8 floors away from Floor 1, so 2x4=8.

Considering the definition of probability, the probability that the family visits the museum or rides the ferry is 81%.

Definition of Probabitity

Probability  is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

Union of events

The union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events, A∩B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

Events and probability in this case

Let A be the event that a family visits the City Museum, and B be the event that a family rides the Three Rivers Ferry. The given probabilities are:

P(A)= 0.46

P(B)= 0.47

P(A and B)= P(A∩B)= 0.12

In this case, considering the definition of union of eventes, the probability that a course has a final exam or a research project is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.46  + 0.47 -0.32

P(F∪R)= 0.81= 81%

Finally, the probability that the family visits the museum or rides the ferry is 81%.

Answer:

4.5 hours

Step-by-step explanation:

we know that

A postal carrier can deliver to 130 houses in  2.5 hour

so

using proportion

Find out how many hours will  it take to deliver to 234 houses

[tex]\frac{130}{2.5}\ \frac{houses}{hours} =\frac{234}{x}\ \frac{houses}{hours} \\\\x=234(2.5)/130\\\\x=4.5\ hours[/tex]

Answer:

1 x 48 = 48

2 x 24 = 48

3 x 16 = 48

4 x 12 = 48

6 x 8 = 48

8 x 6 = 48

12 x 4 = 48

16 x 3 = 48

24 x 2 = 48

48 x 1 = 48

Step-by-step explanation:

Answer:

The factor pair for 48 is 1,2,3,4,6,8,12,16,24 and 48

Your welcome!

Answer:

20(22-x)

Step-by-step explanation:

The solution of the system of equations is (6 , -7)

Step-by-step explanation:

There are two method to solve the system of equations

Let us use the elimination method with your problem

∵ 3x + 2y = 4 ⇒ (1)

∵ 3x + 6y = -24 ⇒ (2)

- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs

∵ -3x - 2y = -4 ⇒ (3)

- Add equations (2) and (3)

∴ 4y = -28

- Divide both sides by 4

∴ y = -7

Substitute value of y in equations (1) OR (2) to find x

∵ 3x + 2(-7) = 4

∴ 3x - 14 = 4

- Add 14 for both sides

∴ 3x = 18

- Divide both sides by 3

∴ x = 6

The solution of the system of equations is (6 , -7)

I hope this explanation help you

Learn more:

You can learn more about the system of linear equations in brainly.com/question/6075514

#LearnwithBrainly

Answer:

Distributive Property.

Answer:

-35

Step-by-step explanation:

20-(7+4)*5

20-(11)(5)

20-55

-35

Answer:  The second one is correct I believe

Step-by-step explanation:

Answer:

3 min 42 seconds

Step-by-step explanation:

1 minute=60 seconds so 7 minutes = 420 seconds. Plus the other 24 is 444 seconds. 444/2=222 so its 222 seconds or 3 minutes and 42 seconds

7 min = 7 x 60 sec = 420 sec

420 sec + 24 sec = 444 sec

444sec : 2 = 222 sec

222 sec = 3x60sec + 42sec = 3 min 42 sec

Answer:

x=1+sqrt(14) & 1-sqrt(14).

Step-by-step explanation:

(1x+1)(1x-3)=0

(x+1)(x-3)=0

m(x)=(x+1)(x-3)=10

(x+1)(x-3)=10

x^2+x-3x-3=10

x^2-2x-3=10

x^2-2x-3-10=0

x^2-2x-13=0

Apply the quadratic formula with a=1, b=-2 and c=-13.

The answer is x=1+sqrt(14) & 1-sqrt(14).

Answer:

I don't know how this is math but...

The Gulf of Tonkin Resolution authorized President Lyndon Johnson to “take all necessary measures to repel any armed attack against the forces of the United States and to prevent further aggression” by the communist government of North Vietnam. Hope I helped! ☺

Answer:

It gave the president the ability to send troops without congressional approval.

Step-by-step explanation:

Answer:

3\8 I think is the answer

Step-by-step explanation:

I know because I know!

Answer:

8 3/8

Step-by-step explanation:

I have study island too

To find the diameter of the semicircle, divide the circumference of the whole circle by 2. Given that the perimeter of the semicircle is 35.98 meters, the diameter would be approximately 22.87 meters.

To find the diameter of the semicircle, we first need to find the circumference of the entire circle and then divide it by 2. The formula for the circumference of a circle is C = π * d, where C is the circumference and d is the diameter.

Given that the perimeter of the semicircle is 35.98 meters, the circumference of the whole circle will be twice that value. So, 2 * 35.98 = 71.96 meters.

Now we can use the formula C = π * d to solve for the diameter: 71.96 = π * d. Dividing both sides of the equation by π gives us d = 71.96 / π.

Using a calculator, we can approximate π to 3.14. So, d = 71.96 / 3.14 = 22.87 meters.

Answer:

$21

Step-by-step explanation:

70%=0.7

30*0.7=21

Answer:

$9.00

Step-by-step explanation:

Subtract 70 percent from 30 dollars

Answer:

[tex]f(x)=x^3-7x-6[/tex]

Step-by-step explanation:

If x = 3 is a root of a polynomial f(x), then x - 3 is a factor of this polynomial.

If x = -2 is a zero of a polynomial function f(x), then f(-2) = 0 and x - (-2) = x + 2 is a factor of f(x).

If x = -1 is an x-intercept of the function, then y = 0 and x - (-1) = x + 1 is also a factor of the function f(x).

Therefore, the polynomial expression is

[tex]f(x)=(x-3)(x+2)(x+1)[/tex]

In standard form:

[tex]f(x)=(x-3)(x^2+2x+x+2)=(x-3)(x^2+3x+2)=x^3+3x^2+2x-3x^2-9x-6=x^3-7x-6[/tex]

Answer:

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\\text{then}\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

[tex]\text{We have the equation of a line in the standard form:}\ Ax+By=C.\\\\\text{Convert to the slope-intercept form:}\\\\4y-2x=12\qquad\text{add}\ 2x\ \text{to the both sides}\\\\4y-2x+2x=2x+12\\\\4y=2x+12\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{2x}{4}+\dfrac{12}{4}\\\\y=\dfrac{1}{2}x+3\to\boxed{m_1=\dfrac{1}{2}}[/tex]

[tex]\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{Put the value of the slope and the coordinates of the given point (-1, 4)}\\\text{to the equation of a line:}\\\\4=-2(-1)+b\\\\4=2+b\qquad\text{subtract 2 from the both sides}\\\\4-2=2-2+b\\\\2=b\to b=2\\\\\bold{FINALLY:}\ y=-2x+2[/tex]

[tex]\text{Convert to the standard form:}\\\\y=-2x+2\qquad\text{add}\ 2x\ \text{to the both sides}\\\\y+2x=-2x+2x+2\\\\2x+y=2[/tex]

as I read it, what I get is that

x = returned profits or yielded interest from investment in A

y = returned profits or yielded interest from investment in B

T = total amount invested or namely  A + B.

4000 were invested in A, and it yielded 5%, what's 5% of 4000? (5/100)(4000) = 200 = x.

we know the total amount is T, since A get 4000, B must have gotten T - 4000, or the slack.  We also know that B yielded a 2% profit, well, what's 2% of T - 4000?  (2/100)(T-4000) = y.

we also know that, whatever "x" and "y" are, their sum total yielded a 4% returns from T, or the total principal, what's 4% of T?  (4/100)T = 0.04T.

[tex]\bf \begin{cases} T=\textit{total principal}\\[-0.5em] \hrulefill\\ A=4000\\ x = \stackrel{\textit{5\% of A}}{200}\\[-0.5em] \hrulefill\\ B=T-4000\\ y=\stackrel{\textit{2\% of B}}{0.02(T-4000)} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{5\% of A}}{200}+\stackrel{\textit{2\% of B}}{0.02(T-4000)}~~=~~\stackrel{\textit{4\% of T}}{0.04T} \\\\\\ 200+0.02T-80=0.04T\implies 120+0.02T=0.04T\implies 120=0.02T \\\\\\ \cfrac{120}{0.02}=T\implies 6000=T~\hfill \stackrel{~\hfill \textit{invested in B}}{6000-4000\implies 2000}[/tex]

Answer:

C

Step-by-step explanation:

For example

[tex]y = 77 \\[/tex]

The answer is C: by itself on one side of the equal sign and a value on the other.

Let's go through the detailed steps of isolating the variable with each option in mind.

Option: C - by itself on one side of the equal sign and a value on the other.

Given equation:[tex]\(3x + 7 = 16\)[/tex]

Step 1: Identify the Variable

The variable in the equation is [tex]\(x\).[/tex] We want to isolate [tex]\(x\)[/tex] to find its value.

Step 2: Isolate Terms with the Variable

Move terms containing the variable to one side of the equation. Here, we'll move [tex]\(3x\)[/tex] to the left side by subtracting [tex]\(7\)[/tex] from both sides:

[tex]\[3x + 7 - 7 = 16 - 7\][/tex]

This simplifies to:

[tex]\[3x = 9\][/tex]

Now, the term [tex]\(3x\)[/tex] is isolated on the left side of the equation.

Step 3: Perform Inverse Operations to Isolate the Variable

Since [tex]\(x\)[/tex] is being multiplied by [tex]\(3\),[/tex] to isolate [tex]\(x\),[/tex] we divide both sides by [tex]\(3\):[/tex]

[tex]\[\frac{3x}{3} = \frac{9}{3}\][/tex]

This simplifies to:

[tex]\[x = 3\][/tex]

Now, the variable [tex]\(x\)[/tex] is isolated on the left side of the equation, and its value is [tex]\(3\).[/tex]

By following these detailed steps, we have successfully isolated the variable  [tex]\(x\)[/tex] on one side of the equal sign and a specific value (option C) on the other side, demonstrating equality between the two sides of the equation.

Answer:

The slope intercept form of both given equations is : y =  - 3 x - 4.

Step-by-step explanation:

Here, the given equations are:

y +7 = -3 ( x - 1 )

and 3 x + y = - 4

Now,the SLOPE INTERCEPT FORM of any given equation is given as:

y = m x + C : here, C = Y - intercept, m = Slope

Consider equation (1):

y +7 = -3 ( x - 1 )    ⇒ y + 8 = - 3 x  + 3

or, y = -3x + 3 - 7 = -3x - 4

 ⇒ y =  -3x  -4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

Consider equation (2):

3 x + y = - 4    ⇒ y  = -4  - 3 x

 ⇒ y =  -3 x  - 4

Hence, the slope-intercept form of the given equation is y =  -3x  -4.

Final answer:

The solution in slope-intercept form for both given equations is y = -3x - 4, showing that they represent the same line.

Explanation:

To find the solution in slope-intercept form for the given equations y+7=-3(x-1) and 3x+y=-4, we need to solve for y in terms of x for each equation.

For the first equation, solve for y:

y + 7 = -3(x - 1)

y = -3x + 3 - 7

y = -3x - 4 (Slope-intercept form of the first equation)

For the second equation, solve for y:

3x + y = -4

y = -3x - 4 (Slope-intercept form of the second equation)

After solving, we observe that both equations have the same slope-intercept form, which indicates that these are actually the equations of the same line.

Answer:

[tex]\large\boxed{-6x^6+4x^4-3x^3+4x^2+12}[/tex]

Step-by-step explanation:

[tex]4x^2-6x^6+2x^3+12-5x^3+4x^4\\\\=-6x^6+4x^4+2x^3-5x^3+4x^2+12\qquad\text{combine like terms}\\\\=-6x^6+4x^4+(2x^3-5x^3)+4x^2+12\\\\=-6x^6+4x^4-3x^3+4x^2+12[/tex]

Answer: 6 LB 12 OZ

16 OZ in a LB

9 LB - 2 LB = 7 LB

4 OZ - 12 OZ difference of 8 OZ

4 - 4 = 0 then 16 OZ in a LB

4 remaining - 16 = 12 dropping the 7 LB to 6 LB

Step-by-step explanation:

First, turn into just ounces (1lb. = 16oz.)

9 lb 4 oz = 148 oz

2 lb 12 oz = 44 oz

Second, subtract.

148 - 44 = 104 oz

Third, turn into pounds and ounces.

104 oz = 6 lb 8 oz

______

Best Regards,

Wolfyy :)

Answer:

C. log(1/3)

Step-by-step explanation:

Remember the quotient/subtraction rule for logs:

log2 - log6 can be written as log(2/6)

Hence, it's equal to C. log(1/3)

Hope this helps!

Mark brainliest if you think I helped! Would really appreciate!

The expressions that are equivalent to [tex]\( \log 2 - \log 6 \)[/tex] are options A and C.

The correct option is (A&C).

To solve [tex]\( \log 2 - \log 6 \)[/tex], we can use the property of logarithms that states:

[tex]\[ \log_b(a) - \log_b(c) = \log_b\left(\frac{a}{c}\right) \][/tex]

Given [tex]\( \log 2 - \log 6 \)[/tex], applying the above property:

[tex]\[ \log 2 - \log 6 = \log\left(\frac{2}{6}\right) = \log\left(\frac{1}{3}\right) \][/tex]

So, the expression \[tex]( \log 2 - \log 6 \)[/tex] is equivalent to [tex]\( \log\left(\frac{1}{3}\right) \)[/tex], which matches option C.

Now, let's check the other options:

A. [tex]\( \log(2) + \log\left(\frac{1}{6}\right) \)[/tex]

  This expression can be simplified using the properties of logarithms to [tex]\( \log\left(2 \times \frac{1}{6}\right) = \log(1/3) \),[/tex]  which is equivalent to the original expression. So, option A is also correct.

B. [tex]\( \log 2 \)[/tex]

  This option is not equivalent to the original expression. It only represents [tex]\( \log 2 \),[/tex] not the difference of [tex]\( \log 2 \) and \( \log 6 \).[/tex]

D. [tex]\( \log 3 \)[/tex]

  This option is not equivalent to the original expression. It only represents [tex]\( \log 3 \)[/tex], which is unrelated to the expression [tex]\( \log 2 - \log 6 \).[/tex]

So, the expressions that are equivalent to [tex]\( \log 2 - \log 6 \)[/tex] are options A and C.

Answer:

The answer is 45 minutes.

Step-by-step explanation:

30 divided by 10 is 3. So it's 3 minutes per book. 3 multiplied by 15 is 45.

Answer:

The length of each side of triangle are 19 ft, 24 ft and 38 ft.

Step-by-step explanation:

Let the length of second side be x.

Now given:

Length of first side is 2 times length of second side.

Length of first side = 2x

Also, Length of third side is 5 ft longer than the second side.

Length of third side = 5+x

Perimeter of triangle = 81 ft.

We need to find the length of each side.

Now perimeter of triangle is sum of all three sides of triangle.

Therefore;

Perimeter of triangle =  Length of first side + length of second side + Length of third side.

[tex]2x+x+5+x=81 ft\\4x+5=81ft\\4x= 81 -5 ft\\4x = 76ft\\x= \frac{76}{4} = 19 ft[/tex]

Length of Second Side = 19 ft.

Length of First side = [tex]2x= 2\times19 = 38 ft[/tex]

Length of Third side = [tex]5+x= 5+19=24ft[/tex]

Hence the Length of triangles are 19 ft,38 ft,24 ft.