Each turkey meatball uses 0.3 pounds of ground turkey. How many meatballs can you make with 8.1 pounds of ground turkey.

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.

Answer:

i

Step-by-step explanation:

The amount after 5 years on $100 using the compound interest is $122.

According to the question,

We have the following information:

Principal = $100

Interest Rate = 4%

Time= 5 years

We know that the following formula is used to find the total amount if there is compound interest:

Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years

(Note that there are different formulas for compound interest depending on how it is calculated.)

A = \(100(1+\frac{4}{100})^{5}\)

A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)

A = 100*1.22

A = $122

Hence, the amount after 5 years on $100 using the compound interest is $122.

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Answer:

can i get a picture

Step-by-step explanation:

Answer:

True

True

Step-by-step explanation:

The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.

The given statement is True

The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where  outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.

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Answer: -24

Step-by-step explanation:

\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)

The Sphero's set speed has a direct relationship with the time it takes for the Sphero to travel 10 meters. The faster the Sphero is set to go, the less time it will take to travel 10 meters.

For example, if the Sphero is set to go at 10 meters per second, it will take 1 second to travel 10 meters. However, if the Sphero is set to go at 20 meters per second, it will only take 0.5 seconds to travel 10 meters.

This relationship can be expressed mathematically by the equation:

time = distance / speed

In this equation, "time" is the amount of time it takes to travel a given distance, "distance" is the distance traveled, and "speed" is the rate at which the object is moving.

The relationship between the Sphero's set speed and the time it takes to travel 10 meters can be used to calculate the time it will take for the Sphero to travel any distance.

For example, if the Sphero is set to go at 10 meters per second and to know how long it will take to travel 50 meters, use the following equation:

time = distance / speed

time = 50 m / 10 m/s

time = 5 s

Therefore, it will take the Sphero 5 seconds to travel 50 meters if it is set to go at 10 meters per second.

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Answer:

her salary will increase by $ 145 for every week

Step-by-step explanation:

x=1st paycheck (integer).

weekly raise = $ 145.

After completing the 1st week she will get $ (x+145).

Similarly after completing the 2nd week she will get

$ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

Answer:

HL

Step-by-step explanation:

The number of boats needed for 1491 people are 20.

What is the cross-product?

The cross product, also known as the vector product in mathematics, is a binary operation on two vectors in a Euclidean vector space that is oriented in three dimensions. It is represented by the symbol times.

We have,
134 people decided to go scuba diving,
523 people decided to neither scuba dive nor go on a boat tour,

So, people go to boat tour = 2148 -(134 + 523)
= 2148 - 657
= 1491
now, since each boat holds 78 people.

\(\frac{1491}{78} = 19\frac{3}{26}\)

= 20 boats.
Hence, the number of boats needed for 1491 people are 20.

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Complete Question
The 2148 guests at a hotel have the. the choice to either go on a boat tour or go scuba diving.  134 people decided to go scuba diving.  523 people decided to neither scuba dive nor go on a boat tour. Each boat holds 78 people. How many boats are needed? Explain your reasoning.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let a and b represent the numbers, and let s and d represent the sum and difference.

  a + b = s

  a - b = d

We want ...

  s = d -7

  (a +b) = (a -b) -7

  2b = -7 . . . . . . . . . add b-a to both sides

  b = -7/2 . . . . the number subtracted to obtain the difference

There is nothing here that puts any restriction on the value of 'a'. The other number can be any value. We could have, for example, a = 3.4.

For a = 3.4, b = -3.5

  sum = 3.4 +(-3.5) = -0.1

  difference = 3.4 -(-3.5) = 6.9

The sum is 7 less than the difference:

  6.9 -7 = -0.1 . . . as required

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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The solution is, the value is, AB = 9 & AC = 4 units.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

here we have this:

Considering that in a parallelogram the opposite sides are congruent, we obtain the following:

AB=CD

AB=9 units

AC=BD

AC=4 units

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Answer:

Step-by-step explanation:

n²+(17-n²)=n²+17-n²=17

Answer: n²+(17-n²)=n²+17-n²=17

Step-by-step explanation:

Answer:

You are correct!

Step-by-step explanation:

9x8.5x3.5=267.75 mm³

You are correct!

Answer:

Ur correct

Step-by-step explanation:

I just did it and got the same answer.....

Do well babe<3

Answer:

4.399231874 or radical (60.8/pi)

btw radical is square root

Step-by-step explanation:

Since the area of 1/4 (90/360) of the circle is 15.2 ft^2, the area of the whole circle must be

15.2*4 = 60.8.

Now, we can work backwards to find the radius using the are formula. Let's say the radius is x.

x^2pi = 60.8

x^2 = 60.8/pi

x = radical(60.8/pi)

Answer:

-1

Step-by-step explanation:

mean, mu = 135.

Standard deviation = 20

X = 115

use the z score formula : \(z = \frac{x-mu}{standard deviation}\)

to get (115-135)/20 = -1

Answer:

Measure of first angle: 42 degrees,

Measure of second angle: 138 degrees

Step-by-step explanation:

Let us say x ⇒ measure of the smaller angle, y ⇒ measure of the larger angle

1. Now given that the measure of the larger angle is 12° more than 3 times the smaller angle: y = 12 + 3x

2. If these angles are supplementary, we could formulate another equation were the two angles add to 180°: x + y = 180

3. In this situation it is convenient to apply substitution as to solve for x, y:

1. x + ( 12 + 3x ) = 180

2. x + 12 + 3x = 180

3. 4x + 12 + 180

4. 4x = 168

5. x = 42 degrees

4. Now substitute this value of x into the first equation y = 12 + 3x, and to solve for y as well:

1. y = 12 + 3 ( 42 )

2. y = 12 + 126

3. y = 138 degrees

Here we need to find two angles given that the angles are supplementary and one is 12° larger than the other.

the two angles are 84° and 96°.

We should start by defining what supplementary angles are.

Two angles a and b are supplementary if:

a + b = 180°.

Now, we also know that one of the angles is 12° larger than the other, so we can write:

a = b + 12°

Now that we have that equation, we can replace it in the first one, so we get:

a + b = 180°

(b + 12°) + b = 180°

Now we can solve this for b.

2*b + 12° = 180°

2*b = 180° - 12°  = 168°

b = 168°/2 = 84°

To find the value of a, we can use the equation:

a = b + 12°

a = 84° + 12° = 96°.

Then the two angles are:

84° and 96°.

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Answer:

x=-21

Step-by-step explanation:

make the equation

2x+9x-1+40=6(x-11)

simplify

11x+39=6x-66

solve

5x=-105

x=-21

The lowest common denominator of 3/8 and 3/5 is 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3/8 and 3/5

LCD means the lowest common denominator.

So,

8 x 5 = 40

5 x 8 = 40

Thus,

The lowest common denominator of 3/8 and 3/5 is 40.

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Answer:

  D'E' = 4/5

Step-by-step explanation:

Corresponding sides have the same scale factor (the dilation factor).

  D'E'/DE = E'F'/EF

  D'E' = (DE)(E'F'/EF) = 8((3/5)/6) . . . multiply by DE; substitute given values

  D'E' = 4/5

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the population proportion significantly differs from 0.89.

The requirements for the test are satisfief.

n(1-p)=70>10

Step-by-step explanation:

This is a hypothesis test for a proportion.

There are 3 requirements to have a valid test of proportion: random sample, independence and normal.

For the first two (random and independent sample) we don't have details, but we assume the sampling has been random.

The latter can be verified by calculating np and n(1-p):

\(np=430>10\\\\n(1-p)=70>10\)

Both are bigger than 10, so the normal approximation can be considered appropiate.

The claim is that the population proportion significantly differs from 0.89.

Then, the null and alternative hypothesis are:

\(H_0: \pi=0.89\\\\H_a:\pi\neq 0.89\)

The significance level is 0.01.

The sample has a size n=500.

The sample proportion is p=0.86.

\(p=X/n=430/500=0.86\)

The standard error of the proportion is:

\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.89*0.11}{500}}\\\\\\ \sigma_p=\sqrt{0.000196}=0.014\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.86-0.89+0.5/500}{0.014}=\dfrac{-0.029}{0.014}=-2.072\)

This test is a two-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=2\cdot P(z<-2.072)=0.038\)

As the P-value (0.038) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the population proportion significantly differs from 0.89.

Answer:

15p

Step-by-step explanation:

Let's interpret the question bit by bit

Salvador wrote 15 letters to friends each month

=> 15 letters = 1 month

For p months in a row

let the total number of letters for p months be x

=> x letters = p months

Bringing the two statements together gives;

15 letters = 1 month

x letters = p months

Now, let's solve for x by cross-multiplying the above

x letters * 1 month = 15 letters * p months

x = \(\frac{15 letters * p months}{1 month}\)

x = 15p letters

Therefore, Salvador wrote a total of 15p letters for the p months.

The sine function is  y = 4 sin[ (π/6)x ] + 1.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

1) The parent function is sin(x)

2) sin(x) has:

Middle line: y = 0

Amplitude: 1 because the function goes from 1 unit up to 1 unit down the midddle line.

Period: 2π because sine function repeats every 2π units.

y-intercept: (0,0) because sin(0) = 0.

Now look how these changes in the function reflect on the parameters:

A sin (ωx + B) + C:

That function will have:

amplitude A, becasue the amplitude is scaled by that factor

Period: 2π / ω, because the function is compressed horizontally by that factor.

It will be translated B units to the left

It will be translated C units up.

And you need

Period = 12 => 2π / ω = 12 => ω = π/6

A = 4

Translate the midline from y = 0 to y = 1 => shift the function 1 unit up => = 1.

Translate the y-intercept from y = 0 to y = 1, which is already accomplished when you translate the function 1 unit up.

So, the is the function searched>

y = A sin (ωx + B) + C = 4 sin[ (π/6)x ] + 1

Now you can check the amplitude, the period, the middle line and the y-intercept of that y = 4 sin[ (π/6)x ] + 1.

Hence, the sine function is  y = 4 sin[ (π/6)x ] + 1.

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