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You have one type of chocolate that sells for $2.70/lb and another type of chocolate that sells for $5.10/lb. You would like to have 16.8 lbs of a chocolate mixture that sells for $3.30/lb. How much of each chocolate will you need to obtain the desired mixture?

You will need

--------- lbs of the cheaper chocolate

and
-----------lbs of the expensive chocolate.

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

Area: 200.96yd²

Circumference: 50.24yd

Step-by-step explanation:

See attached image

Answer:

C = 50.24 yd

A = 200.96 yd²

Step-by-step explanation:

Formulas:

\(C=2\pi r\)

\(A=\pi r^2\)

Calculations:

\(C=2(3.14)(8)\\C=50.24\)

\(A=(3.14)(8)^2\\A=3.14(64)\\A=200.96\)

Answer:

3x + 4 + 2

7x + 2

9x

9x + 4

13x

Step-by-step explanation:

3x add 4 and 2

7x add 2

Answer:

40

Step-by-step explanation:

P=2(l+w)

2·(10+10)

          =40

Answer:

-6x - 6

Step-by-step explanation:

All I did was combine like terms and I created a new expression that was equivalent to the one shown

Answer:

We can simplify the expression as follows:

4^3 * 4^4 / 4^9

First, we can simplify the terms in the numerator by adding the exponents of 4:

4^3 * 4^4 = 4^(3+4) = 4^7

Now, we can substitute this value in the expression:

4^7 / 4^9

To divide powers with the same base, we can subtract their exponents:

4^(7-9) = 4^(-2)

Therefore, the simplified expression is:

4^3 * 4^4 / 4^9 = 4^(-2)

So, the final answer is 1/16 or 0.0625.

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

Lets take a shot at this....

774

Step-by-step explanation:

We know we have 30 rows in the pavillion.  We know we have 20 seats in the first row, and that we add 6 seats to every subsequent row.

Now if we have 30 x 20, then that is the starting numer of seats at 600 and we add 6 seats to each of the remaining 29 rows so we could multiply 29 times 6 for a total of 174 and add that to the original for a total of 774.

However I have a sneaking suspicion I have over simplified by adding jut 6 seats to each row rather than a progressive number where there are 6 added to the second row and then 12 to the thitrd ro and so on and so on.  I am not certain how to calculte that progression into this equation but I suspect it relies upon an exponent for that calculation so I am off to see if I can find it....

more to follow....

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer: 29 for shure

Step-by-step explanation:

I got it on mine

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Answer:

1.x=-8

Step-by-step explanation:

3x+12=-12

   -12   -12

3x=-24

/3    /3

x=-8

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\therefore\) The answer is \(-5x(x-2)\).

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The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

Answer:

she mixed up the slope and y- intercept in step 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

she correctly calculated the slope as m = - 4 and the y- intercept b = - 3

thus equation she should have is

y = - 4x - 3

Brooke's error was that she found the incorrect slope in step 1.  

The slope formula is:  m = (y₂ - y₁) / (x₂ - x₁)  

Using the given points:  m = (13 - 25) / (-4 - (-7))  m = -12 / 3  m = -4  

So, the slope is -4, not -12/3 as Brooke calculated in step 1.  

The correct equation for the line passing through the points (-7, 25) and (-4, 13) is: y = -4x - 3 (as found in step 3)

Answer:

30 cups

Step-by-step explanation:

only equal to 15 pints

Answer:

x = 2, y = 9 or (2,9)

Step-by-step explanation:

Hello!

The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1

We can plug in the first equation into the second like this:

2x + y = 13 (we know y so we can plug it in)

2x + (5x - 1) = 13

2x + 5x - 1 = 13

7x - 1 = 13

Now we add 1 to both sides

7x - 1 + 1 = 13 + 1

7x = 14

x = 2

Now we plug in x to find y:

y = 5x - 1

y = 5(2) - 1

y = 10 - 1

y = 9

The cash register contains 8 $10 bill and 20 $50 bills.

Let's denote the number of $10 bills as 'x' and the number of $50 bills as 'y'.

According to the given information, we know that the total number of bills is 28. So we can write the equation:

x + y = 28 (Equation 1)

We also know that the total amount of money in the cash register is $1,080. The value of each $10 bill is $10, and the value of each $50 bill is $50. So we can write another equation based on the total value:

10x + 50y = 1080 (Equation 2)

Now we have a system of two equations (Equation 1 and Equation 2) that we can solve simultaneously to find the values of 'x' and 'y'.

Let's solve the system of equations:

Multiply Equation 1 by 10 to eliminate 'x':

10x + 10y = 280 (Equation 1 multiplied by 10)

Subtract Equation 1 multiplied by 10 from Equation 2:

(10x + 50y) - (10x + 10y) = 1080 - 28

40y = 800

Divide both sides by 40:

y = 20

Substitute the value of 'y' into Equation 1 to find 'x':

x + 20 = 28

x = 28 - 20

x = 8

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Answer:12

Step-by-step explanation:4/3x-2/3x=2/3x

6+2=8

2/3x=8

x=12

Answer:

X = 12

Step-by-step explanation:

2​x+2=34​x−6

Multiply both sides of the equation by LCM

(32​x+2)×3=(34​x−6)×3

CalculateMore Steps

 2x+6=(34​x−6)×3

CalculateMore Steps

 2x+6=4x−18

Move the variable to the left side

2x+6−4x=−18

Subtract the termsMore Steps 

−2x+6=−18

Move the constant to the right side

−2x=−18−6

Subtract the terms

−2x=−24

Multiply both sides

−2x(−21​)=−24×(−21​)

SimplifyMore Steps

 −2x(−21​)=12

Solution

x=12

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Answer:

6x+5

Step-by-step explanation:

2x+4x =6x

10-5=5

6x+5

Answer:

Step-by-step explanation:

The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.

The base angles  at B and C are the complement of half this value, or ...

  90° -(51°/2) = 64.5°

The angle measures in the triangle are ...

  ∠A = 51°

  ∠B = ∠C = 64.5°

Answer:

Difference in weight is 24 once

Step-by-step explanation:

got it right

Answer:

-7/13

Step-by-step explanation:

To find the reciprocal of a number, either divide the number by 1 or switch the numerator and denominator

Answer:θ≈2.15

θ≈4.13 are correct

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

3u^2 - 2u - 2 = 0

We can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 3, b = -2, and c = -2. Substituting these values, we get:

u = (2 ± sqrt(4 + 24)) / 6

u = (2 ± 2sqrt(7)) / 6

Simplifying this expression, we get:

u = (1 ± sqrt(7)) / 3

Therefore, either:

Step-by-step explanation:

directly proportional means

y = kx

with k being a constant factor for all values of x.

we get k by using the given data point (10, 15).

15 = k×10

k = 15/10 = 1.5

so, now for the other tree we know k and x and calculate y

y = 1.5×14.4 = 21.6 m

it is 21.6 m tall (its height is 21.6 m).

Specific individuals in a population are unfairly left out of a study, which is known as exclusion bias. When researchers design a study that inadequately represents specific segments of the community, undercoverage bias emerges.

When a sample is not chosen that accurately represents the full population of data, a statistical error known as sampling error arises. As a result, the sample's findings do not accurately reflect the outcomes that the complete population would produce.

When a sample is chosen from a population based on the idea of randomization, this practise is known as probability sampling.

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Answer:

  (a) f(x) = 110x -x^2

  (b) $55

Step-by-step explanation:

You figure out part (a) by following directions. Multiply (110 -x) by x. Use the distributive property to simplify it:

  f(x) = 110x -x^2

__

You know that the vertex of a parabola is on the line of symmetry, and that any two points with the same y-value are located symmetrically about that line. The function f(x) = x(110 -x) is zero for x=0 and for x=110. The vertex (maximum) of the function will be located halfway between these values, at ...

  x = (0 +110)/2 = 55

She should charge $55 to maximize her revenue.

Answer:

(3,5)

Step-by-step explanation:

Mid-point = (1i+2j+5i+8j)/2

=(6i+10j)/2

=3i+5j

=(3 5)