2/3 of the pizza was left over last night. Then, Marcy ate another 2/9 of it. How much is left over now?

Answer:

56

Step-by-step explanation:

Step 1: Order the data

43,49,55,58,64,67

Step 2: Count all numbers and add them up

43+49+55+58+64+67=336 and we have 6 numbers in total so... 336 ÷ 6

Step 3: Divide!

336 ÷ 6 = 56

Hope this helps you!

Answer:

Step-by-step explanation:

75-52.5=x

The probability that the next customer will pay with a debit card or a credit card is 12%.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next customer would pay with a debit card or a credit card = (number of customers that paid with a debit card + number of customers that paid with a credit card) / total number of customers

(8 + 2)/ 83 = 0.12 = 12%

To learn more about probability, please check: https://brainly.com/question/13234031

Answer:

If you buy 3 pounds for $2, and have 8 dollars to spend, then multiply 2x4 to get $8. Since we multiplied by 4 for the money, we do the same thing for the pounds of grapes. So, we multiply 3x4 to get 12 pounds. So, you can buy 12 pounds of grapes for $8.

Step-by-step explanation:

Hope this helps! :)

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP.

Answer:

the answer b

Step-by-step explanation:

te answer b because I guessed

Hey there!

Answer: = 15.3296% decrease

How to Calculate Percentage Decrease

=> 539.22 - 456.56

=> 79.66

=> 79.66 ÷ 539.22

=> 0.153296

=> 0.153296 × 100

=> 15.3296%

If the percentage is negative, it means there was an increase and not an decrease.

Therefore, percentage decrease is 15.3%

Answer:

p²=h²-b²

p² =10²-6²

p² =100-36

p²=64

p=( √8)²

p=8

Let [tex]x[/tex] and [tex]y[/tex] be the length and height, respectively, of the rectangle.

Let the bottom left vertex be the origin (0, 0), and position the triangle so that the bottom leg lies on the horizontal axis in the [tex]x,y[/tex]-plane. The hypotenuse of the triangle then lies on the line through (0, 0) and (6, 8), with slope 8/6 = 4/3. Then for some [tex]x[/tex] between 0 and 6, we have [tex]y = \frac43x[/tex].

This means for some fixed distance [tex]x[/tex] from the origin, the rectangle has length [tex]6-x[/tex] and height [tex]\frac43x[/tex]. Thus the area of the rectangle can be expressed completely in terms of [tex]x[/tex] as

[tex]A(x) = (6-x) \times \dfrac43x = 8x - \dfrac43 x^2[/tex]

Non-calculus method:

Complete the square to get

[tex]8x - \dfrac43 x^2 = -\dfrac43 (-6x + x^2) = 12 - \dfrac43 (9 - 6x + x^2) = 12 - \dfrac43 (x-3)^2[/tex]

which is maximized when the quadratic term vanishes at [tex]x=3[/tex], giving a maximum volume of [tex]\boxed{12\,\mathrm{in}^2}[/tex].

Calculus method:

Differentiate [tex]A(x)[/tex] and find the critical points.

[tex]A'(x) = 8 - \dfrac83 x = 0 \implies x = 3[/tex]

Differentiate again to check the sign of the second derivative at the critical point.

[tex]A''(x) = -\dfrac83 \implies A''(3) = -\dfrac83 < 0[/tex]

which indicates a local maximum at [tex]x=3[/tex]. Hence the maximum area is [tex]A(3) = 12[/tex], as before.

Answer: there is something off screen i cant see so i cant help you 183- what?

Step-by-step explanation:

Hey there!

We're given 2 points that the line intersects, so we can easily determine the line's slope.

This is the formula:

[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\bold{\displaystyle\frac{5-(-6)}{-4-(-9)}}[/tex]

[tex]\bold{\displaystyle\frac{5+6}{-4+9}}[/tex]

[tex]\bold{\displaystyle\frac{11}{5}}[/tex]

Hence, the answer is

[tex]\boxed{\boxed{\bold{\frac{11}{5} }}}[/tex]

Hope everything is clear.

Let me know if you have any other questions!

#LearningDoesn'tEnd

:-)

[tex]\rule{200}{2}[/tex]

Step-by-step explanation:

She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.

Answer: The 200 adults

Step-by-step explanation:

Answer:

First choice.

Step-by-step explanation:

cos 11π/6 = cos π/6 = √3/2

So cos 11π/12 =   √(1 + cos 11π/6) / √2

= √(1 + √3/2) / √2

= √(2 + √3) / 2.

Answer:

which one?

Step-by-step explanation:

Answer:

un rhgdb tennis felicidades ID remix estoy do do ID do ID Rockband do ID do TX

Based on the outside angles theorem, the value of x is: 42°

The outside angles theorem states that the measure of the angle that is formed outside a circle when two tangents or secants intersect is half the measure of the diffrence of the intercepted arcs.

Given the following:

Therefore, based on the outside angles theorem, we would have the following:

x = 1/2(222 - 138)

x = 42°

Learn morea about outside angles theorem on:

https://brainly.com/question/11356657

Answer:

Can you use a specific question please

Step-by-step explanation:

Answer: = 17 7/

Step-by-step explanation:

8 1/5 + 9 1/2 = 177/

10

= 17 7/

Answer:

median is 20

Step-by-step explanation:

due to both of them having it in there 1 time

Answer:

The Median Age: Yoga Class (31)      Dance Class (30)

The Range: Yoga Class (17-44)        Dance Class (20-47)

Step-by-step explanation:

10

solve:

14 - (2(x) - y)

given x : 3, y : 2, insert the following

[tex]\\ \rm\rightarrowtail 14-(2x-y)[/tex]

[tex]\\ \rm\rightarrowtail 14-2x+y[/tex]

[tex]\\ \rm\rightarrowtail 14-2(3)+2[/tex]

[tex]\\ \rm\rightarrowtail 14-6+2[/tex]

[tex]\\ \rm\rightarrowtail 10[/tex]

he was never late negative to affirmative

Answer:

8x8= 64

64x6= 384

384 is the answer

Let me know if i helped!

Answer:

Given:

[tex] \\ {\tt{A = \left [ \: \begin{array}{ c c c} \: \: \: \: 2 & -3 & - 5 \\ - 1 & \: \: \: 4 & \: \: \: \: 5 \\ \: \: \: \: 1& - 3 & - 4\end{array} \: \: \: \right] \: and \: B = \left[\begin{array}{c c c} \: \: \: \: 2 & - 2 & - 4 \\ - 1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & - 2 & - 3\end{array} \right]}}[/tex]

Matrix A is of order 3 × 3 and Matrix B is of order 3 × 3

To Show:

Formula Used:

[tex]\\ { \rm{ \left[ \begin{array}{c c c} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array} \right] \times \left[ \begin{array}{c c c} b_{11} & b_{12} & b_{13} \\ b_{21} & b_{22} & b_{23} \\ b_{31} & b_{32} & b_{33} \end{array} \right] = \: \left[ \begin{array}{c c c} \: \: a_{11}b_{11} + a_{12}b_{21} + a_{13}b_{31} & a_{11}b_{12} + a_{12}b_{22} + a_{13}b_{32} & a_{11}b_{13} + a_{12}b_{23} + a_{13}b_{33} \\ \: \: a_{21}b_{11} + a_{22}b_{21} + a_{23}b_{31} & a_{21}b_{12} + a_{22}b_{22} + a_{23}b_{32}&a_{21}b_{13} + a_{22}b_{23} + a_{23}b_{33} \\ \: \: a_{31}b_{11} + a_{32}b_{21} + a_{33}b_{31}&a_{31}b_{12} + a_{32}b_{22} + a_{33}b_{32} & a_{31}b_{13} + a_{32}b_{23} + a_{33}b_{33}\end{array} \right]}}[/tex]

If A is a matrix of order a×b and B is a matrix of order c×d , then matrix AB exits and is of order a×d , if and only if b = c.

[tex] \: \: [/tex]

If A is a matrix of order a×b and B is a matrix of order c×d , then matrix BA exits and is of order c×b , if and only if d = a.

[tex] \: \: [/tex]

For Matrix AB, a = 3, b = c = 3, d = 3 , thus Matrix AB is of order 3×3

[tex]\\ { \rm{Matrix \: AB = \left[ \begin{array}{c c c} \: \: \: \: 2 & -3 & -5 \\ -1 & \: \: \: 4 & \: \: \: \: 5 \\ \: \: \: \: 1 & -3 & -4 \end{array} \right] \times \left[ \begin{array}{c c c} \: \: \: \: 2 & -2 & -4 \\ -1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & -2 & -3 \end{array} \right] = \left[\begin{array}{c c c} \: \: \: \: 2(2)-3(-1)-5(1) & \: \: \: \: 2(-2)-3(3)-5(-2) & \: \: \: \: 2(-4)-3(4)-5(-3) \\ -1(2)+4(-1)+5(1) & -1(-2)+4(3)+5(-2) & -1(-4)+4(4)+5(-3)\\ \: \: \: \: 1(2)-3(-1)-4(1) & \: \: \: \: 1(-2)-3(3)-4(-2) & \: \: \: \: 1(-4)-3(4)-4(-3) \end{array} \right]}}[/tex]

[tex]\\ {\rm{Matrix \: AB = \left[ \begin{array}{c c c} \: \: \: \: 4 + 3 - 5 & \: \: \: -4 -9 + 10 & \: \: -8 - 12 + 15 \\ -2 - 4 + 5 & \: \: \: \: \: \: + 2 + 12 - 10 & \: \: \: \: \: 4 + 16 - 15 \\ \: \: \: \: \: 2 + 3 - 4 & \: \: -2 - 9 + 8 & -4 - 12 + 12 \end{array} \right] = \left[ \begin{array}{c c c} \: \: \: \: 2 & -3 & -5 \\ -1 & \: \: \: \: 4 & \: \: \: 5 \\ \: \: \: \: 1 & -3 & -4 \end{array} \right]}}[/tex]

[tex]\\ {\rm{Matrix \: AB = \left[ \begin{array}{c c c} \: \: \: \: 2 & -3 & -5 \\ -1 & \: \: \: \: 4 & \: \: \: 5 \\ \: \: \: \: 1 & -3 & -4 \end{array} \right] = Matrix \: A}}[/tex]

For Matrix BA, a = 3, b = c = 3, d = 3 , thus Matrix BA is of order 3 × 3

[tex]\\ {\rm{Matrix \: BA = \left[ \begin{array}{c c c} \: \: \: \: 2 & -2 & -4 \\ -1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & -2 & -3 \end{array} \right] \times \left[ \begin{array}{c c c} \: \: \: \: 2 & -3 & -5 \\ -1 & \: \: \: \: 4 & \: \: \: \: 5 \\ \: \: \: \: \: 1 & -3 & -4 \end{array} \right]}}= \left[ \begin{array}{c c c} \: \: \: \: \: 2(2) -2(-1) -4(1) & \: \: \: \: 2(-3) -2(4) -4(-3) & \: \: \: \: 2(-5) -2(5) -4(-4) \\ \: -1(2) + 3(-1) + 4(1) & -1(-3) + 3(4) +4(-3) & -1(-5) + 3(5) + 4(-4) \\ \: \: \: \: \: 1(2) -2(-1) -3(1) & \: \: \: \: 1(-3) -2(4) -3(-3) & \: \: \: \: 1(-5) -2(5) -3(-4) \end{array} \right][/tex]

[tex]\\{ \rm{Matrix \: BA = \left[ \begin{array}{c c c} \: \: \: \: 4 + 2 - 4 & \: \: \: -6 -8 + 12 & \: \: -10 - 10 + 16 \\ -2 - 3 + 4 & \: \: \: \: \: \: +3 + 12 - 12 & \: \: \: \: \: + 5 + 15 - 16 \\ \: \: \: \: \: 2 + 2 - 3 & \: -3 -8 +9 & \: \: \: \: \: -5 -10 + 12 \end{array} \right] = \left[ \begin{array}{c c c} \: \: \: \: 2 & -2 & -4 \\ -1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & -2 & -3 \end{array} \right]}}[/tex]

[tex]\\{ \rm{Matrix \: BA = \left[ \begin{array}{c c c} \: \: \: \: 2 & -2 & -4 \\ -1 & \: \: \: \: 3 & \: \: \: \: 4 \\ \: \: \: \: 1 & -2 & -3 \end{array} \right] = Matrix \: B}}[/tex]

Answer: 48x/64

Work (assuming ^ is multiplication):

12x^4/4x^16

12x ^ 4x = 48x

4 ^ 16 = 64

y - 6 = - 5 * x - 5 * (-3)

y - 6 = -5x + 15

y + 5x = 15 + 6

5x + y = 21

Answer:

5x + y = 21.

Step-by-step explanation:

y - 6 = -5(x - 3)

y - 6 = -5x + 15

5x + y - 6 = 15

5x + y = 15 + 6

5x + y = 21.

Answer:

See below ↓

Step-by-step explanation:

3.

4.

5.

Answer:

an+1 = 4an

Step-by-step explanation:

an+1 = 4an        commonratio:   r=4

2

2x4=8

8x4=32

32x4=128

Hello!

Please remember that

Example:

4T+5H

In this example, the coefficient of T is 4, and the coefficient of H is 5.

So let's identify the coefficient of x.

It seems like x doesn't have a coefficient, but it does.

It's equal to 1.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

A. The amount of money that Betsy should invest n B-rated bonds at 13% is $20,000.

B. The amount of money that Betsy should invest in a certificate of deposit (CD) at 5% is $50,000.

Certificates of deposit (CDs) are short-term investments in financial institutions (money market) while Bonds are long-term investments in the stock exchange (capital market).

CDs pay reduced interest rates when compared to bonds'.

The amount required per year in interest = $5,000

Total investible funds = $70,000

Interest rate of B-rated bonds = 13%

Interest rate in CD = 5%

Since Betsy is not interested in realizing more than $5,000 in interest per year, she should invest $50,000 in the CD and $20,000 in the B-rated bonds.

The interest in CD = $2,500 ($50,000 x 5%)

The interest in bonds = $2,600 ($20,000 x 13%)

Total interest in CD and bonds = $5,100 ($2,500 + $2,600)

Thus, Betsy should invest $50,000 in the CD and $20,000 in the B-rated bonds.

Learn more about CDs and Bonds at https://brainly.com/question/4853331

Answer:

19 and 13

Step-by-step explanation:

width = x

length = x + 6

2x + 2(x + 6) = 64

2x + 2x + 12 = 64

4x = 64 - 12

4x = 52

x = 13

x + 6 = 19

Answer:

19 and 13

Step-by-step explanation: