Find the value of each variable.
Simplify your answers as much as possible.
If necessary, you may learn what the markings on a figure indicate.

Answer:

10in by 5in

Step-by-step explanation:

PERIMETER: p=2(a+b) p=30

AREA: A=a×b A=50

2(a+b)=30

a×b=50

Answer:

The dimensions of the envelope are 5 by 10 inches.

Step-by-step explanation:

Perimeter formula for a rectangle:  P = 2W + 2L

Area formula           '    "          "         A = W*L

Here, P = 2W + 2L, so 30 in = 2W + 2L, or 15 in = W + L

Also, A = W*L, so 50 in^2 = W*L, or (if we solve this for W) W = (50 in)/L

But 15 = W + L, or 15 - L = W.  Substitute this result for W in the equation W = (50 in)/L:  

We get (50 in)/L = 15 - L

Multiplying both sides by L eliminates the fraction:

50 in = 15L - L^2, or

L^2 - 15L + 50 = 0

This factors into (L - 10)(L - 5) = 0, so L is either 10 or 5.  Because 15 - L = W, W is either 10 or 5.

The dimensions of the envelope are 5 by 10 inches.

Answer:

g=-1

Step-by-step explanation:

3(g+4)=9

Divide both sides by 3.

g+4=  9/3

Divide 9 by 3 to get 3.

g+4=3

Subtract 4 from both sides.

g=3−4

Subtract 4 from 3 to get −1.

g=−1

Answer:

3(g+4)=9

or, 3(g+4)/3=9/3 [Dividing both sides by 3.]

or, g+4=3

or, g+4-4=3-4 [Subtracting 4 from both sides.]

So, g=-1

Answer:

#1: 5/8, #2: It is a right triangle, #3 $2: per square foot, #4: 300%

Step-by-step explanation:

#1: If you want the probability of drawing a non-red marble, you need to have the number of non-red marbles divided by the total number of marbles. Since it's a 3 to 5 ratio, and the 5 represents marbles that are white, not red, you can put 5/(5+3), or 5/8 as your answer.

#2: For this one, you need to use the pythagorean theorem, a rule that will be true if it's a right triangle, and false if it's not. It's A² + B² = C², where C is bigger than A and B. To apply this, you can plug 7² + 24² into a calculator, and see whether or not the answer is equal to 25² (which, in this case, it is, meaning that it is a right triangle.)

#3: The idea with this is cancelling out the units until you end up with the units you want. You know how 7897/7897 would still be equal to one, as anything divided by itself is still one? We can use that concept, because multiplying our original value by 1 won't change the value, just the units. Since 1 yard = 3 feet, we can do this: ($18)/(yard²) × (1 yard)/(3 feet) × (1 yard)/(3 feet) = $2/feet²

#4 This one I will use sample values for: let's say our rectangle has a length of 10 inches and a width of 20 inches. That means it's area will be L × W, that is, 10 × 20 = 200 inches². Now lets increase the dimensions by 100%. Our length would become 20 inches, and our width would become 40 inches. That makes L × W = 20 × 40 = 800 inches². Now, to see what percent increase that is from the original, we have to do (800 - 200)/200, that is, 3, or 300%.

Sorry I don't have time to do the last one, but might I suggest that you post the questions individually next time? I just think it might make people less scared to jump into solving one problem than five, so you might get answers sooner =)

JUBILANT

Step-by-step explanation:

Answer:

Jublinant

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

In order to form a triangle the sum of two sides should exceed the third side.

so here the given measurements fulfill this statement so

with the given lengths ; 15, 12 , 9 can form a triangle.

Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters

Answer:

120 seconds

Step-by-step explanation:

To obtain the number of seconds they will all till together again, obtain the lowest common multiple of the three bell times :

Bell A :

Multiples of of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125

Bell B :

Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128

Bell C :

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132

From the values above, the lowest common multiple is 120, Hence, they'll toll together again after 120 seconds

Answer:

A.) The function is linear.

C.) The height increases at a constant rate of change.E

Step-by-step explanation:

Edge 2022

The function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Based on the description, it seems that the function is linear because the graph shows a line of dots that increases at a constant rate from 0 to 9 weeks.

Therefore, the following statements apply:

The function is linear.

The height increases at a constant rate of change.

Linear functions are those functions whose graph goes in a straight line. This function has one independent variable and one dependent variable.

The height increases at a constant rate of change. We can see as the time is increasing the height is increasing. We can determine this by slope of graph.

Hence, the function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

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You should begin setup by 12 PM to setup 500 tables.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, you have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour.

So, in one hour total number of table can set up = 6×13

= 78

Number of hours = 500/78

= 6.41

≈ 6 hours

Therefore, you should begin setup by 12 PM to setup 500 tables.

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Answer:

Inputs are the conditions that exist prior to group activity, whereas processes are the interactions among group members. Outputs are the results of group activity that are valued by the team or the organization.

Step-by-step explanation:

please mark this answer as brainliest

Answer:

Total interest paid= $33

Step-by-step explanation:

Giving the following information:

Number of periods= 11 months

Interest per month= $3

To calculate the total amount of interest paid, we need to use the following formula:

Total interest paid= number of periods*interest per period

Total interest paid= 11*3

Total interest paid= $33

Answer: D. The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months.

Step-by-step explanation: Because it is a linear function it needs to fluctuate so by using process of elimination D is the only answer that would look like a linear function by having that curved line we are looking for in a function.

Answer:

A

Step-by-step explanation:

Its a leg.

Answer:

A

Step-by-step explanation:

both a and b are legs. c would be the hypotenuse because it is across from the right angle.

Answer:

13pts

Step-by-step explanation:

If you're asking how many pints 6 qt and 1 or is then I believe it is 13 pt

Answer:

The answer should be 8-12x......if i take a wild guess out of your answer choices, would say C.  

Step-by-step explanation:

-4 (-2+3x)

[carry over the -4 to (-2) and (3x) ]

8-12x

Answer:

[tex]\tan(x + 40) = 1.842[/tex]

Step-by-step explanation:

Given

[tex]\sin(x + 4) = \cos(3x)[/tex]

Required

Find [tex]\tan(x + 40)[/tex]

In trigonometry

If [tex]\sin(A) = \cos(B)[/tex]

Then: [tex]A + B = 90[/tex]

So, we have:

[tex]\sin(x + 4) = \cos(3x)[/tex]

[tex]3x + x + 4 = 90[/tex]

[tex]4x + 4 = 90[/tex]

Collect like terms

[tex]4x =- 4 + 90[/tex]

[tex]4x =86[/tex]

Solve for x

[tex]x = 86/4[/tex]

[tex]x = 21.5[/tex]

So:

[tex]\tan(x + 40) = \tan(21.5+40)[/tex]

[tex]\tan(x + 40) = \tan(61.5)[/tex]

Using a calculator:

[tex]\tan(x + 40) = 1.842[/tex]

Answer:

3^2 = 9

9 x 3.14 = 28.26

28.26  divided by 4 = 7.065 (round) = 7.07

Step-by-step explanation:

The area of a circle is:

A=π*(r^2)

A=π*(3^2)

Α=9π ft^2

The area of the figure is:

A=9π/4 ft^2

If it says that π=3.14 then

A=7.07 ft^2

Answer:

234

Step-by-step explanation:

.13 x 1800 = 234

There are only [tex]3[/tex] hostel rooms with guests who are less than or equal to [tex]11[/tex], as shown by the bar graph, which indicates that the majority of rooms have [tex]11[/tex] and fewer visitors.

A visitor to your house or someone you have invited to a gathering, like a party or a dinner: dinner/wedding guests. A guest is another name for an individual who is a hotel guest.

A person who is the legitimate resident of a hotel room and whose address and name are shown in the registration kept by the hotel is referred to as a hotel guest.

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Answer:

answer is b

Step-by-step explanation:

hope it helps!!!

Answer:

I don't see the link fix it or something

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

Answer: No, she needs 3 more pies.



Step-by-step explanation:

Hi, no she does not have enough pie, you would know by multiplying the amount of pies she has by 4, as she promised to give them 1/4 of a pie each, leaving her to only have 24 pieces in toShe would need at least 9 pies to have enough for all 35 students, plus an additional 1/4 sized slice left over.

Answer:

461.58

Step-by-step explanation:

Please confirm if this was correct

Answer:

260

Step-by-step explanation:

cuz i got it right

Answer:

260°

Step by step explanation:

Khan academy:

Answer:

a) 45

Step-by-step explanation:

Answer:

when she subtracts 8x to 26 and dividing

Step-by-step explanation:

Step-by-step explanation:

[tex]8(x - 3) + 7 = 2x(4 - 17) \\ 8( \times - 3) + 7 = 2x( - 13) \\ 8x - 24 + 7 = - 26x \\ 8x - 17 = - 26x \\ - 17 = - 34x \\ x = \frac{1}{2} [/tex]