Danielle needs to buy paints for an art class she is taking. She wants to buy both oil paintsfor special pieces and acrylic paints for everyday use. Tubes of oil paint are $6 each, and tubes of acrylic paint are $3 each. Danielle has a paint budget of $90, and she wants the ratic of acrylic tubes to oil tubes to be at least 2 to 1.
Graph a system of inequalities that represents this story. One inequality should represent
Danielle's budget, and the other inequality should represent the ratio of acrylic tubes to oil
tubes.

Answer:

65.4 cubic inches

Step-by-step explanation:

Formula for the volume of a cone :

Volume (cone) = 1/3πr²h

=============================================================

Given :

⇒ diameter = 5 in. → radius = 2.5 in.

⇒ height = 10 in.

===========================================================

Solving :

⇒ Volume (cone) = 1/3 × π × (2.5)² × 10

⇒ Volume (cone) = 62.5π/3

⇒ Volume (cone) = 65.4 cubic inches

This is an arithmetic sequence with a common difference given by d= -7

I will start by defining my first term as u⁰=361

Now we have to think, if u⁰ is my 1st term than my 47th term would be u⁴⁶ not u⁴⁷ since i start counting from 0 and not 1.

Using the relation that describes the implicit relation of an arithmetic sequence, i can say:

u(n)=u⁰+nd where n is any number

u⁴⁶=u⁰+46d

u⁴⁶=361+46(-7)

u⁴⁶=361-322

u⁴⁶=39

Answer:

39.

Step-by-step explanation:

This is an arithmetic sequence with common difference -7

47th term = a + d(n - 1)

= 361  - 7(47-1)

= 39.

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Answer:

300x

Step-by-step explanation:

2-2-2-2-2-2-2-2-2

Answer:

300x !

Step-by-step explanation:

Answer:

Check whether the first and last terms of the trinomial are perfect squares.

Multiply the roots of the first and third terms together.

Compare to the middle terms with the result in step two

If the first and last terms are perfect squares, and the middle term’s coefficient is twice the product of the square roots of the first and last terms

Step-by-step explanation:

Answer:

260,000

Step-by-step explanation:

Answer:256.73 hope this helps!

Step-by-step explanation:

Comparing the measurement needed for the batch and the measurement of the scale, Robert does not have enough noodles.

A fraction is a non-integer. It is made up of numerators and denominators. A decimal is a non-integer where the integers are differeniated from a non-integer by a decimal point.

In order to determine the answer, convert the fraction to a decimal by dividing the numerator by the denominator.

4 1/6 = 4. 17

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The complete diagram map is given as,
1 - 3
2 - 5,
3 - 7,
8 - 17,
10 - 21
100 - 201

Given that,
To complete the map diagram,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The given map diagram follows the general term as nth term = 2n + 1
So for n = 3
= 2 [3] + 1
= 7
Similarly,

10th = 21
100th = 2001

For the value 17

17 = 2n + 1
n = 8
So the 8th term is 17 in the map diagram,

Thus, The complete diagram map has been shown.

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9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

Angles AFB and CFE are vertical angles, so have the same measure. That means arc AB has the same measure of arc CE. The latter arc is 27° more than arc DE, which is 90°. So, we have ...

  arc AB = arc CE

  21x -9 = 90 +27

  21x = 126 . . . . . . add 9, collect terms

  x = 6 . . . . . . . divide by 21

Answer:

There are 54 cups in the display! Hope this helps!!

Step-by-step explanation:

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:

Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.

Some of the common profitability ratios include:

Stockholders' equity = $442,600

Total assets = $640,000

Net sales = $480,000

Net income = $36,000

Profit margin ratio = Net income/Net Sales x 100

= $36,000/$480,000 x 100

= 7.5%

= 8%

Return on equity ratio = Net income/Shareholders' Equity x 100

= $36,000/$442,600 x 100

= 8.13%

= 8%

Asset turnover ratio = Net Sales/Total Assets

= $480,000/$640,000

= 0.75

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Answer:

16 hrs

Step-by-step explanation:

4 of them doing it in 32 hrs is the equivalent to 4/8hrs (32hrs) days 32÷ 4 = 8

8 of them doing it in 16hrs would be the equivalent to 2/8 hrs( 16hrs) days

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have uploaded a graph for you. The x axis is the number of years. The y axis is the salary multiplied by 1000. I should have made the multiplication factor 10000 but 1000 will do.

The 5 given points are plotted in red. The blue line is the function.

The function is y = 5x + 35. That means for every year you add 5 times the year onto the salary.

No years is 35000

1 year is 1 * 5000 + 35000

2 years is 2 * 5000 + 35000 = 45000

6 years is 5 * 5000 * 35000 = 65000

and so on.

The point you want is x = 12

12 years is 12 * 5000 + 35000 = 95000

Forgot the graph

Answer:

1

Step-by-step explanation:

If each child eats 1/5 slices, and there are 5 children then you have to multiply 5 by 1/5.

5* 1/5= 1

Hope this helps!

Answer:

x < -3

Step-by-step explanation:

Inequality form: x < -3

Interval Notation: (-\(\infty}\),-3)

The angle of depression of the meat from the top of the table is 40°

This situation makes a right-angle triangle with the height of table being the perpendicular to the right-angle triangle and the distance of meat from the foot of the table becomes the base of the imaginary right-angle triangle

to know the angle of depression of the meat from the top of the table

we need to find the ratio between the perpendicular and the base of the triangle to use trigonometry.

Tan  is the ratio of perpendicular and base of the triangle

which is = 96/114.4

          tan Ф=0.8392

To solve for Ф , a tan would move from the left-hand side to the right-hand side and would become tan inverse.

            Ф  = tan-1 0.8392

             Ф = 40°

 The correct question is a cat on a table 96cm views a piece of meat on the ground 114.4cm away from the foot of the table. find the angle of depression of the meat from the top of the table.

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Answer:

-9r+3.2s+4

Step-by-step explanation:

- (9r – 3.2s) + 4

Distribute the minus sign

-9r - -3.2s+4

Subtracting a negative is like adding

-9r+3.2s+4

Given the data provided in the exercise, that shows the time (in seconds) and the corresponding water level (in feet), you can enter all the data in Desmos (as it is indicated in the exercise), in order to obtained the corresponding graph.

Answer:

A

Step-by-step explanation:

3 4 5 6

The sample mean weight, from this random sample of 135 pigs, fall within the confidence interval. (Option A: yes)

Suppose that we have:

Then the confidence interval is obtained as

\(\overline{x} \pm Z_{\alpha /2}\dfrac{\sigma}{\sqrt{n}}\)

\(\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}}\)

For this case, we work with sample standard deviation(you can choose even population standard deviation, it won't matter as both are not given here).

We're provided that:

Since the formula for limits of confidence interval is:

\(\overline{x} \pm Z_{\alpha /2}\dfrac{s}{\sqrt{n}} = \overline{x} \pm 1.645\dfrac{s}{\sqrt{135}}\)

That has:

\(\text{Lower limit} = 75 = \overline{x} - 1.645\dfrac{s}{\sqrt{135}}\\\\\text{Upper limit} = 90 = \overline{x} +1.645\dfrac{s}{\sqrt{135}}\\\\\)

Thus, we get:

Adding both the equations, we get:

\(165 = 2\overline{x}\\\\\overline{x} = 82.5 \: \rm pounds\)

That is between 75 and 90 pounds.

Thus, the sample mean weight, from this random sample of 135 pigs, fall within the confidence interval. (Option A: yes)

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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We have Ux =  127.2 ft while we have σx =  1.985 ft

The normal distribution =  127.2 ft

The standard deviation = 27.5 ft

The random sample n is given as n = 192 trees.

sd / √n

= 27.5/√192

= 1.985 ft

Hence we have Mx = 127.2 ft

σx =  1.985 ft

127.2 + 2(1.985) = 131.17

127.2 - 2(1.985) = 123.23

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Answer:

2 5/7 5/7 -1/7, -5/7, 1 2/7, -2 2/7, -1 5/7

Answer:

The answer is "\(H_0:\mu \geq 50.1\ \ and \ \ H_0: \mu \geq 50.1\)"

Step-by-step explanation:

An initial random selection of mail-order physicians representing firm A worked an average of 50.1 hours per week. My goal is to reject the Null Hypothesis since it is employed to make no difference. In this case,\(H_0 =\mu \geq50.1\)

Medical insurance changes are attributed to reducing the average workweek. New medical coverage is claimed to be have reduced your average workday after the government change. \(H_1: \mu <50.1\)

Answer:

A

Step-by-step explanation:

The x- coordinate of any point on the y- axis is zero, that is (0, c ) , then

(0, - 2 ) is located on the y- axis

Answer:

2.25

Step-by-step explanation:

We can write a ratio to solve

1.69           x

------     = ---------------

3/4 lb              1 lb

Using cross products

1.69 * 1 = 3/4 *x

1.69 = 3/4 x

Multiply by 4/3

1.69 * 4/3  = x

x=2.25333

Rounding to the nearest cent

Answer:

x=11/2 = 5 1/2

Step-by-step explanation:

Answer:

5.5 =x

Step-by-step explanation:

2x=11

1. Start by dividing by ten since its a even number

2. Then you'll get 5

3. With the last number you'll divide it that'll end up with

.5

4. Just combine both 5 and .5 and you'll get your answers 5.5

Answer:

A

Step-by-step explanation: