Hailey ate 2/8 of the pizza. Jack ate 3/8 of the same pizza. How much of the 1 pizza was left over after Hailey and Jack ate?

please hurry !​

The determinants for solving the linear system is given as follows:

The system of equations for this problem is defined as follows:

The matrix A is composed by the coefficients of x and y, hence:

A = [5 3]

  = [-8 -3]

The determinant of a 2 x 2 matrix is the multiplication of the principal diagonal subtracted by the multiplication of the secondary diagonal, hence:

|A| = 5 x (-3) - 3 x (-8)

|A| = -15 + 24

|A| = 9.

For the matrix Ax, the coefficients of x are replaced by the results of the equalities, hence:

Ax = [17 3]

    = [9 - 3]

|Ax| = 17 x (-3) - 3 x 9

|Ax| = -51 - 27

|Ax| = -78.

For the matrix Ay, the coefficients of y are replaced by the results of the equalities, hence:

Ax = [5 17]

    = [-8 -9]

|Ay| = 5 x (-9) + 17 x 8

|Ay| = 91.

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mark is 26=x and marissa id 33

if you take 59 take away 7 you get 52

then you wil devide 52 and get 26

you will use the 7 you took out earlier and add it to one of the 26 which will give you mark(26=x) and marissas(33) age .

Answer:

y = 2x + 5

Step-by-step explanation:

Given the relationship between the random variables X and Y, Y = 7.00X + 8.34, and the properties of X (mean of zero and variance of 1), the expected value of Y^2 is 118.5556.

We can find the expected value of Y^2.
First, let's find the mean (expected value) of Y. Since the mean of X is zero, E(Y) = 7.00 * E(X) + 8.34 = 7.00 * 0 + 8.34 = 8.34.
Next, let's find the variance of Y. The variance of Y, Var(Y), can be determined by the relationship Var(Y) = a^2 * Var(X), where a is the coefficient of X (in this case, 7.00). So, Var(Y) = 7.00^2 * 1 = 49.
Now, we can find the expected value of Y^2 using the formula E(Y^2) = Var(Y) + E(Y)^2. Plugging in the values, E(Y^2) = 49 + 8.34^2 = 49 + 69.5556 = 118.5556.
Therefore, the expected value of Y^2 is 118.5556.

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Question:

Solution:

The population growth is given by the following equation:

where P represents the number of individuals and t represents the number of years from the time of introduction. Now, if we have a population of 5656 fish, then the above equation becomes:

this is equivalent to:

this is equivalent to:

this is equivalent to:

now, the inverse function of the root function is the exponential function. So that, we can apply the exponential function to the previous equation:

this is equivalent to:

this is equivalent to:

now, we can apply the properties of the logarithms to the previous equation:

this is equivalent to:

we can conclude that the correct answer is:

9 years

Answer:

look at image attached, hope this helps :)

the new coordinates of the rhombus W'X'Y'Z' after a dilation with scale factor k=3 are: \(W'(3,0), X'(12,-3), Y'(15,-12), Z'(6,-9)\)

To find the new coordinates of the image after dilation, we need to multiply the coordinates of each vertex by the scale factor k = 3.

Let's start with vertex W(1,0):

Multiply the x-coordinate by  \(3: 1 *\times 3 = 3\)

Multiply the y-coordinate by \(3: 0 \times 3 = 0\)

So the new coordinates of W' are \((3,0).\)

Next, let's look at vertex X(4,-1):

Multiply the x-coordinate by \(3: 4 \times 3 = 12\)

Multiply the y-coordinate by \(3: -1 \times 3 = -3\)

So the new coordinates of X' are \((12,-3).\)

Now for vertex Y(5,-4):

Multiply the x-coordinate by \(3: 5 \times 3 = 15\)

Multiply the y-coordinate by \(3: -4 \times3 = -12\)

So the new coordinates of Y' are  \((15,-12).\)

Finally, let's consider vertex Z(2,-3):

Multiply the x-coordinate by  \(3: 2 \times 3 = 6\)

Multiply the y-coordinate by  \(3: -3 \times3 = -9\)

So the new coordinates of Z' are \((6,-9)\)  .

Therefore, the new coordinates of the rhombus  \(W'X'Y'Z'\) after a dilation with scale factor k=3 are:

\(W'(3,0)\)

\(X'(12,-3)\)

\(Y'(15,-12)\)

\(Z'(6,-9)\)

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Answer:

The area of the circle is 314 inches

Step-by-step explanation:

Area if a circle = πr²

r = radius

r= d/2

r=20 /2

r=10 inches

Area =3.14×10²

= 3.14×100

=314 inches

Answer:

314 in. cubed

Step-by-step explanation:

The formula to find the area of a circle is:

A= πr²

Pi is 3.14 so substitute that in

A= 3.14(r)²

The radius is 10 because the radius is half of the diameter.  Half of 20 is 10.  So substitute that in the radius symbol.

A= 3.14(10)²

Square 10, which is 10 times 10.  10 times 10 equals 100.

A= 3.14(100)

100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right.  It gets you 314.0 which is just 314.

A= 314

Answer:

56.3 =c

44.1 =a

Step-by-step explanation:

Using the law of sines

sin 102        sin 28

----------  = ----------

c                 27

Using cross products

27 sin 102 = c sin 28

Divide by sin 28

27 sin 102

------------   = c

sin 28

56.25470702= c

Rounding to the nearest tenth

56.3 =c

To find a

We need Angle A

A = 180 - 102 -28

A = 50

sin 50        sin 28

----------  = ----------

a                 27

Using cross products

27 sin 50 = a sin 28

27 sin 50

------------   = a

sin 28

44.0563425= a

Rounding to the nearest tenth

44.1 =a

a. The recursive formula for the number of tulips Marko has is: \(Tn = Tn-1 + 5\), where Tn is the number of tulips in year n and Tn-1 is the number of tulips in year n-1.

b. The explicit formula for the number of tulips Marko has is: Tn = 20 + 5n, where Tn is the number of tulips in year n and n is the number of years since Marko started planting.

c. If this trend continues, there will be 90 tulips in 10 years.

d. If this trend continues, it will take Marko 40 years to have 200 tulips.

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Answer:

Step-by-step explanation:

Ms. Sanchez paid 150 dollars more than Mr. Roland.

Let's say that the electrician worked for x hours in Mr. Roland's home, then worked for (x + 2) hours in Ms. Sanchez home.

Then we need to find the difference between the linear equations:

C(x + 2) - C(x) = (75*(x + 2) + 125) - (75*x + 125)

If we simplify that, we get:

75*x + 75*2 + 125 - 75*x - 125

= 75*2 = 150

This means that Ms. Sanchez paid 150 dollars more than Mr. Roland.

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Answer:

First space: 15

Second space: 20

Third space: 0

Fourth space: 20

Step-by-step explanation:

If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:

P(x) = (20 - x)*(30+3x)

P(x) = 600 +30x - 3x2

The vertical axis of the graph represents the profit P(x) of the florist.

So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15

Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)

The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.

Answer:

675

20

(0,20)

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because

Answer:The equation that is given, h = –16t 2 + 64t + 8, represents the general formula of the motion which is h(t) = h0 + v0t - 16t² where h0 is the initial height (8 feet), v0 is the initial velocity  (+64 ft/s) and t is time in seconds. To determine the time when the ball is at the maximum height, we need to determine the vertex of the parabola which is done as follows:

vertex = time at maximum height = -b/2a = -64 / 2(-16) = 2 seconds

The maximum height can be calculated by substituting the time we obtained to the function.

h = –16t 2 + 64t + 8

h = –16(2)^2 + 64(2) + 8 = 72 feet

Step-by-step explanation:

Answer:

the answer to this will most likely be nine 9

Answer:

9

Step-by-step explanation:

27 divided by 3 is 9!

Please mark brainliest if possible and have a nice day!

Answer:

6.25

Step-by-step explanation:

c

Answer:

$6

Step-by-step explanation:

48÷8=6

keep the questions coming

Answer:

The area of T is equal to sum of area of R and Triangle

Step-by-step explanation:

\(area = 12 \times 2\)

Area)= 24

\(area = \frac{1}{2} \times 12 \times 15\)

Area= 90

Area of T = 90 PLUS 24

AREA == 114

Therefore , we may now say that the requisite unequal declaration is 4.50x+1.75y 50 if the expression problem is resolved.

In mathematics, an expression is made up of a claim, two or more integers or variables, and one or more arithmetic operations. This mathematical operation can multiply, divide, add, or remove numbers. The following is how an expression is put together: Expression: A variable or a number, a math operator, and a math operator.

Here,

$4.50 is the price per assignment.

The assignment cost "x" is equivalent to 4.50x as a result.

$1.75 for each task.

Therefore, the cost of assignment "Y" is 1.75Y.

Because of this, 4.50x+1.75y should be $50 maybe less.

As a result, the inequality declaration required is 4.50x+1.75y ≤50.

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Answer:

y = 16

Step-by-step explanation:

From the pattern in the table we can see that x to the power of two results in y (2.5 x 2.5 = 6.25, 9.4 x 9.4 = 88.36, etc.) This means that 4 x 4 = 16, which is the value of y.

Answer:

16

Step-by-step explanation:

Plato/Edmentum

The nth degree polynomial function satisfying the given conditions, we start by noting that if a polynomial has a complex root, then its conjugate is also a root. Since 2 + 3i is a root, its conjugate 2 - 3i must also be a root.

Now, we have three roots: -2, 2 + 3i, and 2 - 3i. To construct the polynomial, we can use the fact that if a polynomial has a root r, then (x - r) is a factor of the polynomial.

The factors corresponding to the given roots are: (x + 2), (x - (2 + 3i)), and (x - (2 - 3i)). We can multiply these factors together to obtain the polynomial:

f(x) = (x + 2)(x - (2 + 3i))(x - (2 - 3i))

     = (x + 2)(x - 2 - 3i)(x - 2 + 3i)

     = (x + 2)((x - 2) - 3i)((x - 2) + 3i)

     = (x + 2)((x - 2)² - (3i)²)

     = (x + 2)(x² - 4x + 4 + 9)

     = (x + 2)(x² - 4x + 13)

     = x³ - 2x² + 5x + 26.

Therefore, the nth-degree polynomial function with real coefficients satisfying the given conditions is f(x) = x³ - 2x² + 5x + 26. The correct answer is: f(x) = x³ - 2x² + 5x + 26.

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Answer:

p(x)=2(x^3-2x^2-3)

Step-by-step explanation:

2 out of 2x^(3)-4x^(2)-6

p(x)=2(x^3-2x^2-3)

Answer:

3

Step-by-step explanation:

step1 Isolate the square root on the left hand side

    Original equation

    √2x-5-4 = -x

    Isolate

    √2x-5 = 4-x

step2 eliminate the radical on the left hand side

    Raise both sides to the second power

    (√2x-5)2 = (4-x)2

    After squaring

    2x-5 = x2-8x+16

step3 Solve the quadratic equation

    Rearranged equation

    x2  - 10x  + 21 = 0

    This equation has two rational roots:

      {x1, x2}={7, 3}

step4 Check that the first solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 7 for  x  

     √2•(7)-5 = 4-(7)

     Simplify

     √9 = -3

     Solution does not check

     3 ≠ -3

step5 Check that the second solution is correct

    Original equation, root isolated

    √2x-5 = 4-x

    Plug in 3 for  x  

     √2•(3)-5 = 4-(3)

     Simplify

     √1 = 1

     Solution checks !!

    Solution is:

     x = 3

Answer:

-3

Step-by-step explanation: i got it right on my test

Answer:

The estimate is,

f(117) = 56

Step-by-step explanation:

We use the linear approximation,

L(x) = f(a) + f'(a)(x-a)

In our case,

x = 117,

a = 115

f(115) = f(a) = 50,

f'(a) = f'(115) = 3

Putting all this into the linear approximation equation, we get,

L(117) = f(115) + (f'(115))(117-115)

L(117) = 50 + 3(2)

L(117) = 56

Or, approximately,

f(117) = 56

Answer:

true

true

True

true

False

Step-by-step explanation:

Given equations are 9x -y + 2z = - 25, 3x + 9y - z = 58 and x + 2y +9z = 58. To find the solution set, we need to use Cramer's rule. The solution set is given by,Cramer's rule for 3 variablesx = Dx/D y = Dy/D z = Dz/DDenominator D will be equal to the determinant of coefficients.

Coefficient determinant is shown as Dx, Dy and Dz respectively for x, y and z variables.

So, we haveD = | 9 -1 2 | | 3 9 -1 | | 1 2 9 | = 1 (-54) - 27 + 36 + 12 - 2 (-9) = 12

Using Cramer's rule for x, Dx is obtained by replacing the coefficients of x with the constants from the right side and evaluating its determinant.

We have Dx = | -25 -1 2 | | 58 9 -1 | | 58 2 9 | = 1 (2250) + 58 (56) + 232 - 25 (18) - 1 (522) - 58 (100) = -3598

Now, using Cramer's rule for y, Dy is obtained by replacing the coefficients of y with the constants from the right side and evaluating its determinant.

We have Dy = | 9 -25 2 | | 3 58 -1 | | 1 58 9 | = 1 (-459) - 58 (17) + 2 (174) - 225 + 58 (2) - 58 (9) = -1119

Finally, using Cramer's rule for z, Dz is obtained by replacing the coefficients of z with the constants from the right side and evaluating its determinant.

We have Dz = | 9 -1 -25 | | 3 9 58 | | 1 2 58 | = 58 (27) - 2 (174) - 9 (100) - 58 (9) - 1 (-232) + 2 (58) = 84

So the solution set is x = -3598/12, y = -1119/12 and z = 84/12If D = 0, then the system of equations does not have a unique solution.

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\(x=\textit{oz of solution at 10\%}\\\\ ~~~~~~ 10\%~of~x\implies \cfrac{10}{100}(x)\implies 0.1 (x) \\\\\\ y=\textit{oz of solution at 20\%}\\\\ ~~~~~~ 20\%~of~y\implies \cfrac{20}{100}(y)\implies 0.2 (y) \\\\\\ \textit{32 oz of solution at 12\%}\\\\ ~~~~~~ 12\%~of~32\implies \cfrac{12}{100}(32)\implies 0.12 (32)\implies 3.84 \\\\[-0.35em] ~\dotfill\)

\(\begin{array}{lcccl} &\stackrel{oz}{amount}&\stackrel{\textit{\% of oz that is}}{\textit{salt only}}&\stackrel{\textit{oz of}}{\textit{salt only}}\\ \cline{2-4}&\\ \textit{10\% salt water}&x&0.10&0.1x\\ \textit{20\% salt water}&y&0.20&0.2y\\ \cline{2-4}&\\ mixture&32&0.12&3.84 \end{array}~\hfill \begin{cases} x + y = 32\\\\ 0.1x+0.2y=3.84 \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{x+y=32}\implies y=32-x \\\\\\ \stackrel{\textit{using the 2nd equation}}{0.1x+0.2y=3.84}\implies \stackrel{\textit{substituting from the 1st equation}}{0.1x+0.2(32-x)~~ = ~~3.84} \\\\\\ 0.1x+6.4-0.2x=3.84\implies 6.4-0.1x=3.84\implies 6.4=0.1x+3.84 \\\\\\ 2.56=0.1x\implies \cfrac{2.56}{0.1}=x\implies \boxed{25.6=x}\hspace{5em}\stackrel{ 32~~ - ~~25.6 }{\boxed{y=6.4}}\)

Answer:

-59.3 ft

Step-by-step explanation:

4.5 x 7 = 31.5

140 + 31.5 = 171.5

171.5 - 112.2 = 59.3

she is below sea level so it is negative.

If the sample size is n=40 ,mean of 20 and a standard deviation then the sampling distribution is normally distributed.

Given sample size is 40, sample mean is 20, sample standard deviation is 5.

We have to find whether the distribution is normally distributed or not.

Normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off simultaneously towards either extreme. It may be one tailed or two tailed also.

Yes the given distribution whose sample size is 40, sample mean of 20 and sample standard deviation of 5 is normally distributed as the sample size is greater than 30.

Signs of normal distribution are:

Hence the sampling distribution is normally distributed.

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Answer:

d should be correct

Step-by-step explanation:

why my answer beacuse i see 4in in the painted area

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).