Use the information given to answer the question.
which two inequalities represent the constraints for the art studio classes
per week?
an art studio offers classes for painting and pottery. each painting class is 1
2+ y = 40
hour long. each pottery class is 1.5 hours long. the art studio is only open
0 2 +1.5y = 40
for classes a maximum of 40 hours per week, and only one class is offered at
o +1.5y > 40
35(2 + y) < 1,000
a time. each class costs $35,and the art studio earns a minimum of $1,000
35(x + y) > 1,000
per week from all classes. let be the number of painting classes offered per
calculator
week, and let y be the number of pottery classes offered per week.

Answers:

Reason 23: Given

Reason 24: Reflexive Property

Reason 25: AAS

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

Explanation:

Reason 23 is given because we simply restate the initial facts word for word. Whatever is said at the top "given" is copy/pasted into the table below. This explains why the second reason is "given" as well.

Reason 24 is "Reflexive Property" because any segment is congruent to itself. Think "reflexive" as in "mirror reflection".

For reason 25, we will use the AAS (angle angle side) congruence theorem. This is because we have two pairs of congruent angles (statement 1 and statement 2) as well as a pair of congruent sides (statement 3). We don't use ASA because the side FY is not between the angles mentioned. The order is important. Check out the diagram below. Take note of the color coding for the angles.

Answer:

  585

Step-by-step explanation:

This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.

__

80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...

  260/20% = 1300 . . . tourists surveyed

Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...

  45% × 1300 = 585

The number of tourists who have been to India, but not China, is 585.

Answer:

(x - 5) / (x - 6) (don't put them in brackets, i'm doing this to signify that all of x - 5 is being divided by all of x - 6).

Step-by-step explanation:

x² + 2x - 35:

what multiplies into -35 and adds into 2?

7 and -5

so the top is now (x + 7)(x - 5)

x² + x - 42

what multiplies into -42 and adds into 1?

-6 and 7

so the bottom is now (x + 7)(x - 6)

the 2 lots of (x + 7) cancel and you are left with (x - 5) / (x - 6)

Answer:

[tex]\frac{x-5}{x-6}[/tex]

Step-by-step explanation:

Let's start with the numerator to factor it.

We need two numbers adding up to 2 and multiplying to -35. Easy to see the number are +7 and -5. You can then factor as [tex]x^2+2x-35=(x+7)(x-5)[/tex]

Denominator then. Same story, Two number adding to 1 and multiplying to -42. Numbers are +7 again and -6. Factors as before:

[tex]x^2+x-42=(x+7)(x-6)[/tex].

Now you can simplify

[tex]\frac{x^2+2x-35}{x^2+x-42} = \frac{(x+7)(x-5)}{(x+7)(x-6)}= \frac{x-5}{x-6}[/tex]

Answer:

(x,y) ---> (x+9, y+8)

Step-by-step explanation:

you simply take one point (ex point R to R^1) and count the distance from left to right/right to left which is 9 so that is your X and count up which will be your Y in this case is 8.

Answer:

what is the question?

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[tex] \tan \bigg( \frac{5\pi}{4} \bigg) \\ \\ = \tan \bigg( \pi + \frac{\pi}{4} \bigg) \\ \\ = \tan \bigg(\frac{\pi}{4} \bigg) \\ \\ = 1[/tex]

[tex]\tan \left(\dfrac{5 \pi}4 \right)\\\\\\=\tan \left(2 \cdot \dfrac{\pi}2 + \dfrac \pi4\right)\\\\\\=\tan \left(\dfrac{\pi}4 \right)\\\\\\=1[/tex]

Answer:

Step-by-step explanation:

a and b are the parallel sides of the trapezoid.

In the graph, each unit = 2

a = 8 & b= 4

height = h = 8

[tex]\bf \boxed{ \text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$} }[/tex]

                              [tex]\bf = \dfrac{(8+4)*8}{2}\\\\\\ = \dfrac{12*8}{2}\\\\\\ = 6*8\\\\ = 48 \ square \ units[/tex]

Answer: 4(3 x + 3) would be equivalent to 12 x + 12 .

Step-by-step explanation: because both expressions remains the same for the value of x . *your welcome <3* .

Answer:

a. 1

b. 1

Step-by-step explanation:

by looking at the graph you can deduce the answer.

The equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation for the function is,

g(x) = x²-3

The graph of a quadratic function that has something bowl-shaped. Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

To find the value of g (2) the value of the function is,

g(2) = 2²-3

g(2) =8-3

g(2) =5

Thus, the equation for the given graph is g(x) = x²-3, and the value of g(2) will be 5.

Learn more about the function here:

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Answer:

  A. Numbers get smaller as you move to the left on the number line.

Step-by-step explanation:

A number line is typically drawn so that smaller, more negative numbers are on the left, and larger, more positive numbers are on the right.

__

  Numbers get smaller as you move to the left on the number line.

_____

Additional comment

Number lines can be drawn with any scale and range, depending on what they are intended to represent. For representation of small integers, it is not uncommon for a number line to range from -10 to +10. However, that is not the only possible range that might be used.

Any number line can be used to show number order (least to greatest ≡ left to right). A number line with a linear scale can also be used to show relative differences between numbers: a greater distance on the number line corresponds to a greater difference between numbers.

Answer:

Below :)

Step-by-step explanation:

1) 5^2 = 25

2) 12^2 = 144

3) 9^2 = 81

4) 15^2 = 225

5) 8^2 = 64

6) 7^2 = 49

7) 20^2 = 400

8) 13^2 = 169

9) 30^2 = 900

10) 25^2 = 625

Using the volume of the rectangular prisms, it is found that there is 1.5 times more sunscreen in Bottle B than in Bottle A.

The volume of a rectangular prism of dimensions l, w and h is given by:

V = lwh.

For bottle A, we have that, in inches, l = 1, w = 2, h = 6, hence the volume in cubic inches is given by:

Va = 1 x 2 x 6 = 12 in³.

For bottle B, we have that, in inches, l = 1.5, w = 3, h = 4, hence the volume in cubic inches is given by:

Vb = 1.5 x 3 x 4 = 18 in³.

The ratio between the volumes is given by:

r = Vb/Va = 18/12 = 1.5.

Hence, there is 1.5 times more sunscreen in Bottle B than in Bottle A.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

Answer: 110 degrees

Step-by-step explanation:

A local TV news station has its cameras positioned at Points A, X, and B for their newscasts.

So the m<1 = 110°

An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the center. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Please check the attached file for an explanation.

Learn more about the angle and arc measures at

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Answer:1024π m^3

Step-by-step explanation:

i got 100 on the quiz

Answer:

4x + 2

Step-by-step explanation:

x - 1 is adding an x and subtracting a 1 ,so

x + x + x + (x - 1) + 1 + 1 + 1

= x + x + x + x - 1 + 1 + 1 + 1 ← collect like terms

= 4x + 2

Answer: a). 1/8

Step-by-step explanation:

If the coin is fair, then the odds of getting heads or tails should be equal, 12.

Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.

[tex] \frac{150}{10} = \frac{300}{20} = \frac{450}{30} = \frac{600}{40} = 15[/tex]

[tex]for \: x = 15y[/tex]

[tex]50x = 50(15) = 750.00[/tex]

Answer:

angle e o f and c o e

Step-by-step explanation:

please mark me brainliest

Acute angle is the answer which is A

A

y=4x

8/2=4. .and the rest too have the same value

Step-by-step explanation:

i used the two methods....I hope this will help you!

11% of the total are left handed

so if we take random 100 students then 11% will be applicable to it also

so :-

[tex] \frac{11}{100} \times 100 \\ 11students[/tex]

The figure 1 can be transformed to create figure 2 by reflecting across the y axis.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.

The figure 1 can be transformed to create figure 2 by reflecting across the y axis.

Find out more on transformation at: https://brainly.com/question/1462871

Answer:

270

Step-by-step explanation:

5 x 7 x 6= 210

2 x 5 x 6= 60

210 + 60= 270

The required volume of the fish tank is 240 cubic inches. option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The requried volume of the figure is given as,
Volume  = height [area of the plot]

Since the area of the plot is given as,
area = area of the left rectangle + area of the right triangle.
area = 5 × 7 + 1/2 × [12-7]×[5-3]
area = 35 + 5
area = 40 square inches.

Volume = 6 [40]

Volume = 240 in³

Thus, the required volume of the fish tank is 240 cubic inches. option D is correct.

Learn more about Volume here:
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Answer:

I'll assume the ? is supposed to be t^2

See the answers below.

Step-by-step explanation:

h(t) = -4.91t^2 + 24.5t + 1

a) How high is the ball after 1 second?

h(1) = -4.91*(1)^2 + 24.5*(1) + 1

h(1) = 20.59 meters

b) Find the maximum height of the ball to one decimal place.

We can find the maximum height by graphing or by taking the first derivative and setting it equal to zero (the slope is zero at the top of the curve):

  First Derivative

 h(t) = -4.91*(t)^2 + 24.5*(t) + 1

'h(t) = -9.82*(t) + 24.5

0 = -9.82*(t) + 24.5

9.82t = 24.5

t = 2.49 seconds is the time the ball reaches maximum height.  Use that is the equation to find the height:

h(2.49) = -4.91*(2.49)^2 + 24.5*(2.49) + 1

h(2.49) = 31.6 meters

  Graph

See attached graph.  The maximum height occurs at t = 2.49 seconds and the height is 31.6 meters.

c) When does the ball reach its maximum height?

From the first derivative calculation above, t = 2.49 seconds to reach maximum height.  The graph also shows 2.49 seconds.  Better hurry.

d) When does the ball hit the ground?

The can be determined by either direct calculation of from the graph (attached).

Calculation:  

 h(t) = -4.91t^2 + 24.5t + 1

0 (ground) = -4.91t^2 + 24.5t + 1

4.91t^2 - 24.5t - 1 = 0  Solve with the quadratic equation.  I get t = 5.04 seconds

 Graph:

The graph shows 4.95 seconds.  Both agree when rounded to one decimal point:  5.0 seconds.

❍ Concept :-

⠀

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

⠀

✱ Given Information :-

⠀

A rectangular mat with,

⠀

✱ To Find :-

⠀

⠀

✱ Formula Used :-

⠀

[tex] \diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\ [/tex]

⠀

✱ Solution :-

⠀

Let the breadth of the mat be x, therefore,

⠀

Now, according to the question,

⠀

[tex] \sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\ [/tex]

Thus,

⠀

Now, we have to find out the area of the mat, thus,

⠀

[tex] \sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\ [/tex]

Thus, the area of the mat is 72 sq. ft.

⠀

[tex]\underline {\rule{221pt}{2.5pt}} \\ \\ [/tex]

Answer:

72 sq. feet

Step-by-step explanation

Since the perimeter is 36 feet and the length is 2w, you have to do the guess and check method.

I already did the guess and check method. So, here's how it became:

length =12

width=6

because 6x2=12 or 12 divide 2=6.

12 + 6 + 12 + 6.

12+6= 18. 12+6=18. 18+18=36 feet.

To find the area of a rectangle, you have to do L times W.

Which means 12x6.

12x6=72 sq. feet.

I hope this helps!!!

Answer:

I showed the answers in the pic above ^

Step-by-step explanation:

I hope this helps you!

Answer:

Step-by-step explanation:

The volume of the cone with a radius of 3 cm and height of 8 cm is 24 π cm³. Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Consider this composite figure made of a cone and a cylinder.

A cone has a height of 8 centimeters and a radius of 3 centimeters.

A cylinder has a height of 7 centimeters and a radius of 3 centimeters.

Then the volume of the cone will be

We know that the volume of the cone

[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h[/tex]

Then we have

[tex]\rm Volume = \dfrac{1}{3} \ \pi \ 3^2 *8\\\\\rm Volume = \dfrac{1}{3} \ \pi *9*7\\\\\rm Volume = \dfrac{1}{3} \ \pi \ 72\\\\Volume = 24 \ \pi[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

24

Step-by-step explanation:

Got it right on the question

Answer:

82

Step-by-step explanation:

The sum of his previous grades were 308. In order to get an average grade of 78, he needs to have a score of 78*5 or 390. His necessary grade minus his current grade is 390 - 308, which is 82. The minimum score the student needs to get on his test in order to have an average of 78 is 82

Answer:

82.

Step-by-step explanation:

The sum of the 5 tests must be 5*78 = 390 for the average to be 78.

So in the last test is grade must be 390 - (83+81+70+74)

= 390 - 308 = 82.

Answer:

first pattern: +2, +3 (repeated)

first missing terms: 19, 24

second pattern:  *2, +1

second missing terms: 30, 31

Step-by-step explanation:

first pattern:

1. subtract the second term with the first, (6-4=2) then then third with the second (9-6=3).

2. repeat until to prove the pattern, +2, +3

3. apply pattern to missing term, (16+2=19) and (21+3=24)

second pattern:

1. since subtracting the terms does not give us a pattern, try dividing when possible, (6/3=2) and (14/7=2). then subtract the other terms (7-6=1) and (15-14=1)

2. find pattern from calculation, *2, +1.

3. apply pattern to missing terms, (15*2=30) and (30+1=31).

hope this helped! ♡