00
3 A total of 30 shirts were recently sold at Friday night's football game. Each adult shirt cost
$11.50 and each youth shirt cost $9.45. The total revenue was $324.50.
of two equations that can be used to solve for the number of A (adult) shirts

Answers

Answer 1

Answer:

number of adult shirts sold (a) = 20

number of youth shirts sold (b) = 10

Step-by-step explanation:

a = number of adult shirts sold

y = number of youth shirts sold

30 = a + y

$324.50 = 11.50a + 9.45y

This is the resulting system of equations from the given information in the problem.

Solve for y in the first equation and then substitute the equation for y into the second equation :

a+y=30 --> y=30-a

324.50 = 11.50a + 9.45(30-a)

Solve for a.

324.50 = 11.50a + 283.5 - 9.45a

41 = 2.05a

a = 20

Now that we have solved for a, we can back substitute into our equation for y and solve.

y=30-(20)

y = 10

CHECK:

(20)+(10) = 30 True

(11.50)(20) + (9.45)(10) = 324.5  True


Related Questions

A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =

Answers

Answer:answer d

Step-by-step explanation:

i just did the test

Which condition in the figure below will prove l || m?

Answers

Answer:

m<2 + m<3 = 180°

Step-by-step explanation:

Lines intersected by a transversal are parallel if same-side interior angles are supplementary.

Answer: m<2 + m<3 = 180°

Jason was given a triangle that had a side length of 10m and a hypotenuse of

15m. When he substituted these values into the Pythagorean Theorem, he got 102 + 152 = c2

.

Part A. Find Jason’s mistake and explain it.


Part B. Solve for the missing length, show your mathematical thinking, and justify your answer.

Answers

Answer:

The pythagorean theorem is:

H = [tex]\sqrt{s_1^2 + s_2^2}[/tex]

With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:

s2 = [tex]\sqrt{H^2 - s_1^2}[/tex]

So the real side will be:

square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m

Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.

What us y+3=-2 (6x-1)

Answers

Answer:

y=-12x-1

Step-by-step explanation:

Y=-12x-1

(Simplify and make y the subject)

Find the 82nd term of the arithmetic sequence —8, 9, 26, ...

Answers

N+17 , every sequence goes by that

82+17 = 99

A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?

Answers

Answer:

8.8

Step-by-step explanation:

First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.

Hope This Helps:)

Answer: 8.8

Step-by-step explanation:

(I need these answered asap and with work and explanation included)

Answers

Answer:

blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.


How many solutions?
No solution
One Solution
Infinitely Many Solutions

Answers

Answer:

no solution

Step-by-step explanation:

solution would occur where the lines intersect; parallel lines will never intersect

8. What is the slope of the line that goes through (8,8) and (4, 6)?
-1/2
1/2
-2
2

Answers

Answer:

Step-by-step explanation:

Slope is the change in y over the change in x.

m = (8 - 6) / (8 - 4) = 2/4 = 1/2

Answer:

1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-8)/(4-8)

m=-2/-4

m=1/2

please help me What is the mode of the data shown in this stem-and-leaf plot?

Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21

Enter your answer as a number, like this: 42 and explain your answer

Answers

Answer:  24

Explanation:

The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.

In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.

The mode is 24.

Find the polynomial function in standard form that has the zeros listed. 1(multiplicity 2), -2(multiplicity 3)​

Answers

Answer:

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

Step-by-step explanation:

If p is a zero, then (x -p) is a factor. The multiplicity of the zero tells you how many times that is a factor (its exponent).

  f(x) = (x -1)²(x +2)³ = (x² -2x +1)(x³ +6x² +12x +8)

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

_____

Additional comment

You can use the distributive property to write out the 12 terms of the product of the two expanded factors, or you can do a little mental arithmetic based on what you know about the exponent of a product term. (It is the sum of the exponents of its factors.)

The mental exercise can be made easier by writing the coefficients of the factors as though they were two cubics. It works well to write them in two rows:

  [tex]\left[\begin{array}{cccc}0&1&-2&1\\1&6&12&8\end{array}\right][/tex]

The columns are in order of decreasing powers of x. A relatively simple and symmetrical pattern of sums of cross products is used to find the coefficients of the final polynomial. Working in order of decreasing exponents, we have ...

coefficient of x^6 = (0)(1) = 0

coefficient of x^5 = (0)(6) +(1)(1) = 1

coefficient of x^4 = (0)(12) +(1)(-2) +(1)(6) = 4

coefficient of x^3 = (0)(8) +(1)(1) +(1)(12) +(6)(-2) = 1

coefficient of x^2 = (1)(8) +(6)(1) +(-2)(12) = -10

coefficient of x^1 = (-2)(8) +(12)(1) = -4

coefficient of x^0 = (1)(8) = 8

Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)

Answers

Answer: 2.5

Step-by-step explanation:

Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?

Answers

Answer:

Each elf made 85 toys

Step-by-step explanation:

First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.

Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.

Help please.. DuE Today. No LiNkS!!

Thanks! 8th Grade Mathh
No.2

Answers

Answer:

[tex]\text{(C).} ~~y=-2x+3[/tex]

Step-by-step explanation:

2. What are all possible names for line b?

Answers

Answer:

di ako sure pero ito :)

Step-by-step explanation:

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

A segment is named by its two endpoints, for example, AB¯¯¯¯¯ .

NEED HELP Express Four-fifths as a percent!

Answers

Answer:

80%

Step-by-step explanation:

4/5 = 80/100 = 80%

or

4 divided by 5 = 0.8

0.8 x 100 = 80

Answer:

80%

Step-by-step explanation:

4÷5 = 0.8 = 80%

.

.

. .

.

.........

Write the equation of the line, in slope-intercept form, with the
following information:
slope:
3
point: (6,-1)

Answers

Answer:

y=3x-19

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=3(x-6)

y+1=3(x-6)

y=3x-18-1

y=3x-19

22 - (+12) - (-4) + (-6)​

Answers

Answer:

8

Step-by-step explanation:

+- = --- = ++- = -++ = +

22-12+4-6 = 8

22 - (+12) - (-4) + (-6) = 22 - 12 + 4 - 6 = 8

ANSWER: 8
Ok done. Thank to me :>

cos(x+2)=sin(3x). Need done for a test please help.

Answers

Can you specify the question please I can answer it but I need more specification 87

How many different types of triangles are there?
 Draw and name the 4 different triangles.
 Write the properties of each triangle.
 Draw a circle and name the different parts of the circle.
 Find the relationship between radius and diameter.

NO SPAM!

Answers

Answer:

Explanation :

How many different types of triangles are there?

There are 6 types of triangles.

➝ Scalene Triangle➝ Isosceles Triangle➝ Equilateral Triangle➝ Acute Triangle➝ Obtuse Triangle➝ Right Triangle

[tex]\begin{gathered}\end{gathered}[/tex]

Draw and name the 4 different triangles.

[tex]\green\implies[/tex] The diagram of 4 different triangles is in the given pic. So, please check out the attachment.

The name of four triangles are :

➝ Right angled triangle ➝ Isosceles triangle ➝ Equilateral triangle ➝ Scalene triangle

[tex]\begin{gathered}\end{gathered}[/tex]

Write the properties of each triangle.

1. Acute-angled Triangle

[tex]\pink\implies[/tex] Each of the angles is below 90⁰, and the sum of those angles is always 180⁰. 

2. Right-angled Triangle

[tex]\pink\implies[/tex] One side being 90⁰, the other angles have to be acute. It is because the addition of all internal angles always produce 180⁰. 

3. Obtuse-angled Triangle

[tex]\pink\implies[/tex] Naturally, the other two angles have to be smaller than an obtuse angle. It is so that the internal sum of all the angles remains 180⁰.

4. Equilateral Triangle

[tex]\pink\implies[/tex] Since the internal angles add up to 180⁰, each angle has to be equal in an equilateral triangle. In this case, each angle of this triangle is 60⁰.

5. Isosceles Triangle

[tex]\pink\implies[/tex] Since two sides have the same length, the third side has to have a different length. On top of that, the angle of the other side is also dissimilar to the previous angles. 

6. Scalene Triangle

[tex]\pink\implies[/tex] In this case, the lengths of the three sides are diverse. However, the sum of dissimilar internal angles also has to be 180⁰. 

[tex]\begin{gathered}\end{gathered}[/tex]

Draw a circle and name the different parts of the circle.

[tex]\green\implies[/tex] The diagram of circle is in the given pic. So, please check out the attachment.

Parts of circle :

A circle can have different parts and based on the position and shape, these can be named as follows:

➝ Centre➝ Radius➝ Diameter➝ Circumference➝ Tangent➝ Secant➝ Chord ➝ Arc➝ Segment➝ Sector

[tex]\begin{gathered}\end{gathered}[/tex]

Find the relationship between radius and diameter.

[tex]\pink\implies[/tex] The relationship between radius and diameter is the diameter of a circle is twice of its radius.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

6x6x6x8x8x8
write the following using index form

ps. I wrote 6^3 X 8^3 and it wasn't right.....where did i go wrong??

Answers

Answer:

Step-by-step explanation:

Maybe without the x or use a * instead, like:

6^38^3

or 6^3*8^3

Or maybe read the question again because your answer should be right, if not contact the administrator of the website because sometimes bugs like that can happen.

Auto replacement insurance covers the full cost of auto repairs or the cost of a new vehicle.

T or F

Answers

Answer: True

Step-by-step explanation:

write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!

Answers

Answer:

x≤19

Step-by-step explanation:

because its everything to the left of 19 including 19

Answer:

Interval notation:  (- ∞, 19]

Inequality notation:  -∞ < x ≤ 19

Step-by-step explanation:

Given the inequality graphed on a number line, where there is a closed circle on 19:

A closed circle represents the endpoint as part of the solution.  Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.

Therefore, the inequality represented on the number line is:

Interval notation:  (- ∞, 19]

Inequality notation:  -∞ < x ≤ 19

Please help again please and thank you :)

Answers

Answer:

B)154

Step-by-step explanation:

98:7=x:11

x=154

can you please help me find X in this problem it is so confusing

Answers

Answer:

  x = 25°

Step-by-step explanation:

There are different ways to get there.

1.

The unmarked angle at bottom left is an alternate interior angle with the one at the top marked 50°. So, it is congruent to 50°.

That makes the angles along the line at the bottom be ...

  50° +x° +105° = 180° . . . . . the measure of a linear angle

  x° = 180° -155° = 25°

__

2.

The unmarked angle at top right is a same-side interior angle relative to the one at bottom marked 105°. As such it is supplementary to 105°, and has measure ...

  180° -105° = 75°

This angle (upper right) is an exterior angle to the triangle. As such, it is equal to the sum of the two "remote" interior angles of the triangle—the ones marked 50° and x°.

  75° = 50° +x°

  25° = x° . . . . . . . subtract 50°

__

3.

The unmarked interior angle of the triangle is an alternate interior angle with the one marked 105°. So, it is congruent to 105°. The sum of the triangle interior angles is 180°, so you have ...

  x° +50° +105° = 180°

  x = 180° -155° = 25° . . . . as we had with our first approach

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 â€"" 22x2 â€"" 9x 33. Her work is shown. Step 1: (6x3 â€"" 22x2) â€"" (9x 33) Step 2: 2x2(3x â€"" 11) â€"" 3(3x 11) Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next? Marisol should realize that her work shows that the polynomial is prime. Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) â€"" (9x â€"" 33). Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) (9x â€"" 33). Marisol should refactor the expression in Step 2 as 2x2(3x 11) â€"" 3(3x 11).

Answers

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Given that,

Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

We have to find,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

According to the question,

Marisol grouped the terms and factored the GCF out of the groups of the,

Polynomial; [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

Step1: Regroup into parts using parenthesis and taking the negative sign common,

        [tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]

Step2; Firstly find out the common terms and rewrite the equation,

        [tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

For more details about Polynomial refer to the link given below.

https://brainly.com/question/25914835    

A regular polygon has 15 sides find the size of each of its interior angles

Answers

Answer:

156°

Step-by-step explanation:

A regular polygon has 15 sides find the size of each of its interior angles

                                              Pentadecagon

The formula for calculating the sum of interior angles is ( n − 2 ) × 180° where is the number of sides. All the interior angles in a regular polygon are equal.

find the sum of the interior angles

(15 - 2) × 180 =

13 × 180 =

2340

we divide by the number of sides

2340 : 15 =

156° is your answer

Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn

Answers

Answer:

4,756.66 seconds or 1.321 hours

Here's how I got that:

- Simply use time formula and plug in what you know -

                         t = distance/speed

                                         ↓

              1,427,000,000,000/300000000

                                         ↓

                                t = 4,756.66

~That's all folks~

-Siascon

Joseph earns a salary of $40 per day working at a pizza
restaurant. He earns an additional $3 for every delivery he makes.
Which function represents the amount of money, y, Joseph will earn in one day if he makes x deliveries?
A y = 3x + 40
B y = 3x - 40
C y = 40x + 3

Answers

Answer:

C

Step-by-step explanation:

40x + 3

Answer:

A y = 3x + 40

Step-by-step explanation:

He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.

So, to find the amount of money he would make in one day your equation should look something like this

y = 3x + 40

y being that amount of money he makes in one day

3 being that amount of money he receives for every delivery

x being the number of deliveries he makes in one day

40 being that amount of money he makes in one day.

_________________________________________________________

Hope this helps!!

Please tell me if I have made a mistake; I enjoy learning from them:)

(If someone is online)pls help me to answer this question

Answers

Answer:

The correct answer is yes.

Step-by-step explanation:

I can help you. What do you need? :)

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