Can someone help me with this? Linear equation

Answer:

A = 228 tickets

Step-by-step explanation:

We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.

Because the number of adult and student tickets together equals 506, we have A + S = 506.

Because there are 56 more student tickets than adult tickets we have A + 56 = S

And the way the system is already set up allows us to use substitution.

Thus, we have:

\(A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S\)

The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.

Francis purchases a package of 450 plastic forks but only uses 315 of them, therefore he uses 70% of the available supply.

In math, a % is a number or ratio that is expressed as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," and "pc." However, the percent sign "%" is frequently used to indicate it. The percentages' total quantity has no dimensions. Percentages are fundamentally fractions when the denominator is 100. Put a percent sign (%) next to a number to indicate that it is a percentage. For instance, if you successfully answer 75 out of 100 questions on a test (75/100), you get a 75%. Divide the money by the total to get percentages, then multiply the resulting number by 100. The formula (value/total) x 100% is used to calculate the percentage.

given

Francis purchases 450 plastic forks and

utilizes 315 of them, for

a percentage of 315/450*100

= 70%.

Francis purchases a package of 450 plastic forks but only uses 315 of them, therefore he uses 70% of the available supply.

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Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

The required value is the angle theta and the value of the cosine of the angle is 0.9659

Given the expression of sine of an angle expressed as;

\(sin\theta = 0.2588\)

For us to get the cosine of the angle, we need to get the value of theta first as shown:

\(\theta = sin^{-1}0.2588\\\theta = 14.99^0\)

Next is to get the value of cos theta

\(cos \theta = cos 14.99 =0.9659\)

The required value is the angle theta and the value of the cosine of the angle is 0.9659

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The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer:

16 divided by 2 equals C which is 8.

Step-by-step explanation:

Answer:

A.) F=5+x

Step-by-step explanation:

I think A is the answer because 5 year period is fixed. The x equals pounds per year is what we don't know .

Answer:

x = 17

Step-by-step explanation:

Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.

Therefore:

53° + (8x - 9)° = 180°

Solve for x

53 + 8x - 9 = 180

Collect like terms

53 - 9 + 8x = 180

44 + 8x = 180

Subtract 44 from both sides

44 + 8x - 44 = 180 - 44

8x = 136

Divide both sides by 8

8x/8 = 136/8

x = 17

Answer:

x=2.5

Step-by-step explanation:

Answer:

meaning that you're answer would be $7.34 please make brainliest

Step-by-step explanation:

"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.

In order to create equilibrium, add a comma after a conjunction. We drove to the beach but turned around since there was no more space in the parking lot. The placement of a comma after a conjunction as opposed to before is one of the most frequent mistakes with commas: Nancy always found time despite having a busy schedule to visit the gym.

explanation :

If any of these seven coordinating conjunctions—and, but, for, or, nor, so, yet—are used to unite independent sentences, you should use commas to separate them.

Place commas after the preceding opening (a) sentences, (b) phrases, or (c) words.

"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.

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Answer:

Step-by-step explanation:

Answer:

15-18

Step-by-step explanation:

The IQR is the middle 50% of a set of numbers

There are 8 numbers, so its the middle 4

The middle 4 consists of 15,15,16,18

The range is 15-18

Answer:

The correct answer would be 122

Step-by-step explanation:

4(23)=92

5(6)=30

92+30= 122

Brainliest?

Answer:

Greetings! The answer would be 122

Step-by-step explanation:

step #1:

(you can use PEMDAS)

First, multiply and divide (you just have to multiply)

4(23) = 92

step #2

Next, you have to do the same. Multiply and divide (you just have to multiply)

5(6) = 30

step #3

And finally, you add and subract. (you just have to add)

92 + 30

= 122

Sorry for answering late. Hope this helps!! :)

By: ItzPadlet

Answer:

I think it's 4.5

Step-by-step explanation:

I divided the servings by the packages and I got 4.5 for each of them.

Answer:

C

Step-by-step explanation:

ege 2020

Answer:

divide the previous value by 5

Step-by-step explanation:

Answer:

multiply the numbers

128

Step-by-step explanation:

Answer:

128 is the answer

Step-by-step explanation:

your welcome!

Answer:

x = -12

m∠FCD = 29°

Step-by-step explanation:

Finding x:

Since m∠BCD = 95°, we can find x by the sum of the measures of angles BCF and FCD equal to 95:

m∠BCF + m∠FCD = m∠BCD

x + 78 + x + 41 = 95

(2x + 119 = 95) - 119

(2x = -24) / 2

x = -12

Thus, x = -12

Finding m∠FCD:

Now, we can find m∠FCD by plugging in -12 for x in x + 41:

m∠FCD = x + 41

m∠FCD = -12 + 41

m∠FCD = 29

Thus, m∠FCD = 29°

Answer:

suusy

Step-by-step explanation:

sus

let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly

\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)

if x = 69, then x^2+x = 4830

the correct answer is negitive one hundred eighty (-180)

Answer:

False

Step-by-step explanation:

3√2 sec(theta) + 7 = 1

3√2 sec(theta) = -6

sec(theta) = -2/√2

sec(theta) = -√2

theta = arcsec(-√2)

However, the range of secant function is [-∞, -1] U [1, ∞]. Since -√2 is not within this range, we cannot take the arcsecant of -√2. Therefore, there is no real value of theta that satisfies the equation, including 3π/4.

Therefore, the statement "The value 3π/4 is a solution for the equation 3√2 sec(theta) + 7 = 1" is False.

I hope it helps you

Answer:

40.79 degrees

Step-by-step explanation:

Hope this helps

from the diagram the opposite is 4.9 and the hypothenus is 7.5

then sin x = 4.9/7.5

x = sin inverse of ( 4.5/7.5)

x = 40.79

The cost of the cooler before the rebate is $32.99. After the $5.00 mail-in rebate, the cost of the cooler would be $32.99 - $5.00 = $27.99.

To calculate the total cost, we need to add the cost of the case of soda, which is $6.99.

To account for the cost of the envelope and stamp needed to mail in the rebate, we add $0.20 (for the envelope) and $0.42 (for the stamp) to the total cost.

So, the total cost is $27.99 + $6.99 + $0.20 + $0.42 = $35.60.

Therefore, the cooler costs $27.99 after the rebate, taking into account the cost of mailing in the rebate.

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Answer:

x= 13.25

Step-by-step explanation:

If you simplify that it becomes 8x-6= 100

Then, if you rearrange it, its 8x= 100+6 or 8x=106

So that means x= 13.25

Answer:

=$114.750

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

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

Explanation:

Let's start with the exterior angle 116 degrees.

The interior angle adjacent to this will add to 116 and we'll get 180

(interior angle) + (exterior angle) = 180

(angle VWX) + (angle VWY) = 180

(angle VWX) + (116) = 180

angle VWX = 180 - 116

angle VWX = 64

-----------------

Let's focus solely on the interior angles of triangle VWX

We found angle W to be 64. Angle X is given to be 44. Angle V is unknown, but we can solve for it like such

V+W+X = 180

V+64+44 = 180

V+108 = 180

V = 180-108

V = 72

--------------

The three interior angles of triangle VWX are:

V = 72

W = 64

X = 44

This will determine the order of the side lengths from smallest to largest. Recall that the smallest side of a triangle is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle.

Based on those V,W,X angle values, we know that

WX = longest side (since the angle opposite V = 72 is largest)

VW = shortest side (since X = 44 is the smallest angle and it is opposite VW)

The order of the sides is therefore:

VW < VX < WX

We don't involve point Y because it's not part of the triangle.

Check out the diagram below for a visual summary.

The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64

The given diagram are right angled triangle

From the lower triangle

sin45 = a/2√2
1/√2 = a/2√2

1 = a/2
a = 2

Determine the value of y

tan 60 = opp/adj

tan 60 =y/2

y = 2 tan60

y = 0.64

Hence the value of y from the given diagram is 0.64

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