Student Council is selling t-shirts and hats for $15 and $12, respectively. The club needs to raise at least $1980. They have received pre-sale orders of 80 t-shirts and 20 hats. Graph a system of linear inequalities that shows the number of t-shirts and hats they must sell in order to reach their goal. Use x for the number of t-shirts and y for the number of hats.

Answers

Answer 1

Answer:

the possible combinations are (86,98) and (160,39)

Answer 2

The possible combinations are (86,98) and (160,39)

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Student Council is selling t-shirts and hats for $15 and $12, respectively.

let number of t- shirts sold be x and number of hats be y.

So, 15x+ 12y  ≥ 1980

From the graph the inequality gives

x= 130 and y= 165.

Hence, 130 t shirts and 165 hats must be sold.

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Student Council Is Selling T-shirts And Hats For $15 And $12, Respectively. The Club Needs To Raise At

Related Questions

3(sin 0+ cos O) -(sin 0 + cos ) = 2(sin2 0 + cos²0)

Answers

Step-by-step explanation:

sin0 = 0

cos0 = 1

3(0 + 1) - (0 + 1) = 2(0+1)

3 - 1 = 2

2=2

What is half of 1/3? The options are: 2/3, 2 1/2, 4/9, and 2 and 2 halves

Answers

Answer:

1/6

Step-by-step explanation:

What is half of 1/3? The options are: 2/3, 2 1/2, 4/9, and 2 and 2 halves

1/3 * 1/2 =

1/6

it is a proper fraction, it cannot be written as a mixed number.

if you are givent two points on a line, (5,6) and (-5, -4), what is the slope of the line!

Answers

Answer:

m = -1

Step-by-step explanation:

Formula we'll use: [tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]

m = slope.

y2 = -4

x2 = -5

y1 = 6

x1 = 5

Substitute -4, -5, 6, 5 into the formula:

[tex]\frac{-4}{-5} -\frac{6}{5} =[/tex]

Subtract both top and bottom:

m = -10/-10

m = -1

What is the missing number in the following equation? 3 9/10 + 5 1/ = 9 1/15

Answers

Answer:

C. 6

Step-by-step explanation:

:D

Answer:

(C). 6

Step-by-step explanation:

[tex]3\frac{9}{10}[/tex] + [tex]5\frac{1}{x}[/tex] = [tex]9\frac{1}{15}[/tex]

[tex]5\frac{1}{x}[/tex] = [tex]9\frac{1}{15}[/tex] -  [tex]3\frac{9}{10}[/tex] =  [tex]6\frac{2-27}{30}[/tex] = [tex]5\frac{32-27}{30}[/tex] = [tex]5\frac{5}{30}[/tex] = [tex]5\frac{1}{6}[/tex] ⇒ x = 6

4 times what eqwals 20

Answers

Answer: 5

Step-by-step explanation:

4 times 5 equals 20.

I hope this helps!

4x5=20
So your answer should be 5

helpppp!!!!!! As shown in the diagram, lines m and n are cut by transversal p.

Answers

Step-by-step explanation:

sum of angle 1 and angle 2 is 180°

so,

4x + 14 + 8x + 10 = 180

12x + 24 = 180

12x = 180 - 24 = 156

x = 156/12 = 13

x = 13°

therefore, value of x is 13 and option C is correct.

hope this answer helps you!

4. Find the value of x.
(4x - 10)

Answers

Answer:

x = 20°

Step-by-step explanation:

We know,

The angle of a straight line is 180°

therefore,

90 + (4x - 10) + x = 180°5x = 180 - 90 + 105x = 190 - 905x = 100x = 20°

Hope it helps !!

A spinner is divided into five sections numbered 1 through 5. Juana records the number the spinner lands on for each of 50 spins. She computes and graphs the relative frequencies for each number. Which of the following describes the probability distribution? A bar graph entitled Relative Frequency of Numbers Spun has x on the x-axis and Probability on the y-axis. The probability of 1 is 0. 5; 2 is 0. 12; 3 is 0. 12; 4 is 0. 12; 5 is 0. 12. Constant symmetric negatively skewed positively skewed.

Answers

The distribution of the probability of the given data is a Positive Skewed Probability distribution.

Given to us

A spinner is divided into five sections numbered 1 through 5. Juana records the number the spinner lands on for each of the 50 spins. She computes and graphs the relative frequencies for each number

What is a Probability distribution?

It is a type of distribution in which the distribution has a constant probability, therefore, the probability of each event occurring is equal.

What is symmetric distribution?

Symmetric distribution is the type of distribution where the left side of the distribution and the right side of the distribution are mirror images to each other, therefore, they are symmetrical.

What is Negatively Skewed Probability distribution?

Negatively Skewed Probability distribution is a type of distribution of the probability where the right side(tail) of the distribution is more concentrated than the right side.

What is Positive Skewed Probability distribution?

Positive Skewed Probability distribution is a type of distribution of the probability where the left side of the distribution is more concentrated than the right side.

Which of the following describes the probability distribution of the given data?

Since in the given graph probability of every number occurring from 2 to 5 is equal to 0.12(12%), while the probability of number 1 occurring is 0.5(50%).

Thus, the distribution of the probability is towards the right end of the graph.

Hence, the distribution of the probability of the given data is a Positive Skewed Probability distribution.

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Answer:b

b b b bb b b b b b b b b b b b b b b b b b b b b  b b b  b  b b b b

Step-by-step explanation:


The function g is defined by
g(x) = x^2-2.
Find g(2a).

Answers

Answer:

g(2a) = 4a² - 2

Step-by-step explanation:

substitute x = 2a into g(x) , that is

g(2a) = (2a)² - 2 = 4a² - 2

4y(5) I would appreciate if you would answer this for me!

Answers

Answer:

4y(5) is basically 4y multiplied by 5. 4 x 5 = 20 then add the coefficient "y".

4y(5)= 20y

2 Are 3(x – 4) – 2(2.5x - 1) and -2(x + 5) equivalent expressions?

Answers

Answer:

Equivalent expressions

Step-by-step explanation:

3(x – 4) – 2(2.5x - 1)

3x - 12 -5x +2

-2x - 10

and -2(x + 5)

-2x - 10

Yes, They are Equal

simultaneous equations
5x-6y=16
3y+2y=4

Answers

Answer:

[tex]\left \{ {{x=4\frac{4}{25}} \atop {y=\frac{4}{5}}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{5x-6y=16} (1)\atop {5y=4} (2)} \right.[/tex]

[tex]\therefore y=\frac{4}{5}[/tex]

Substitute into equation (1)

[tex]5x-6*\frac{4}{5}=16[/tex]

[tex]5x-\frac{24}{5}=16[/tex]

[tex]25x-24=80\\25x=104\\x=\frac{104}{25}\\=4\frac{4}{25}[/tex]

in the figure four quarters each of radius 2 m are removed from a rectangle find the perimeter

Answers

Answer:

in the figure four quadrants each of radius 2 m are removed from a rectangle.

I have attached the required figure, assuming the sides of a rectangle based on given measurement of quadrants.

Let the sides of a rectangle be 2 m × 4 m.

The radius of quadrant is 2 m ( given )

From given, we have

Area of figure = Area of 4 quadrants - Area of rectangle .

= 4 × π/4 × r² - l × w

= 4 × π/4 × 2² - 2 × 4

= 3.14 × 4 - 8

= 12.4 - 8

= 4.4 m²

Therefore, the area of the figure is 4.4 m²

Perimeter of figure = Perimeter of 4 quadrants - Perimeter of rectangle

= 4 × [ 0.5πr + 2r ] - 2 ( l + w )

=  4 × [ 0.5 × 3.14 × 2 + 2 × 2 ] - 2 ( 4 + 2 )

=  4 × [ 3.14 + 4 ] - 2 (6)

= 28.56 - 12

= 16.56 m

the perimeter of the figure is 16.56 m

What is the end behavior of the graph of f(x) = – 0.5x^2 – 3x – 4?

Answers

We will see that as x tends to ± ∞, the function tends to -∞.

for  x ⇒ ∞, f(x)  ⇒ -∞for  x ⇒ -∞, f(x)  ⇒ -∞.

What is the end behavior?

We define the end behavior as how the function behaves as x tends to very large, in absolute value, values.

In this case we have a quadratic equation:

f(x) = -0.5*x^2 - 3*x - 4

Here you can see that the leading coefficient is negative, thus, the arms of the graph will go downwards.

This means that in the limits of x ⇒ ∞ and x ⇒ -∞, the function will tend to negative infinity.

Then the end behavior can be written as:

for  x ⇒ ∞, f(x)  ⇒ -∞for  x ⇒ -∞, f(x)  ⇒ -∞.

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Shape A has a perimeter of 36 feet and on of the side lengths is 12
feet. Shape B has a perimeter of 60 feet. What is the corresponding
side length for shape B?

Answers

The perimeter of a shape is the sum of its side lengths

The corresponding side length for shape B is 20 feet

How to determine the length

The length-perimeter ratio is given as:

Ratio = Length : Perimeter

For both shapes, we have:

12 : 36 = Length : 60

Express as fraction

[tex]\frac{12}{36} = \frac{Length}{60}[/tex]

Multiply both sides by 60

[tex]Length = \frac{12}{36} * 60[/tex]

[tex]Length =20[/tex]

Hence, the corresponding side length for shape B is 20 feet

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Suppose that 16 inches of wire cost 48 cents.
At the same rate, how much (in cents) will 42 inches of wire cost?

Answers

Answer:

the answer is 11.

if 16 inches of wire cost 48 cents your goal i to figure out how many inches of wire cots 33 cents to do so you have to find out how many cents each inch is. to do that you have to divide 48 by 16 and you get 3 so that mean that 1 inch costs 3 cents. after you figure that out you do 33 divided by 3 and you get 11. the answer is 11 inches costs 33 cents.

Step-by-step explanation:

Simplify the fraction below​

Answers

Answer:

5/28

Step-by-step explanation:

First you multiply across,

5 · 2 = 10

8 · 7 = 56

Then after multiplying, you will get the fraction, 10/56.

You can simplify that into 5/28.

Find the measure of the arc.

42 degrees
84 degrees
21 degrees
81 degrees

Answers

honestly I needed help with this too

X is an inscribed angle so the answer is 42x2=84

What is the value of the 3rd iterate if x0 = 2.4 Carry out your answers to the 5th decimal place

Answers

Answer:

I think it's 2.45111

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2.44949

Peter also earns a certain amount per hour. The table shows the amount of money, in dollars, he earns in a given number of hours. Write the linear equation for this situation, where y represents the money earned, in dollars, and x represents the number of hours worked.

Time (hours) Money Earned (dollars)
4 44
8 88
12 132

Answers

To determine how much you get per hour, divide 44 by 4, 88 by 8, and 132 by 12. Each time you get 11, so you get 11 dollars an hour.

If y = money earned and x = number of hours worked, then

y=11x
because the money you get is 11 times the amount of hours you work.

Hope this helps and I can provide further explanation if needed!

can someone answer this ITS DUE TOMORROW

Answers

Answer:

a-x

b-/

Step-by-step explanation:

64/4x4=64

625x25/25=625

Which inequality represents the graph below?

Answers

Answer:

The answer is B

the shaded part is below which signifies a less than sign

so you can cross out options A and C

now make y=0

for option B, it will give √Xless than or equal to √4

for option D, it will give √4 less than or equal to √x

to bring √x to the other side, the inequality sign will change to greater than

Therefore the answer is B

The altitude to the hypotenuse of a right triangle divides the triangle into two triangles. Which of the following must be true of the two smaller triangles?
O They are congruent.
They are similar
O They are both isosceles.
O They have equal area.

Answers

Your answer to this question is C

Jamie had 150 to go shopping. she bought the shoes were $75 and the jacket was 40% the cost of the shoes. How much money did jamie have left over

Answers

Answer:

$45

Step-by-step explanation:

shoes=$75

jacket=40% of shoes

         =2/5x75

          =$30

total=$75+$30=$105

change=$150-$105=$45

Answer:

She has $30 dollars left over.

Step-by-step explanation:

We already know she spent $75 on the shoes. So, if the jacket was 40% of what the shoes cost, we can start solving.

First, we have to find what 40% 0f 75 is, we can do this by simply multiplying 75 by 0.4 (40% as a decimal) and then subtracting the product from 75.  75 x 0.4 = 30. 75 - 30 = 45.Now we can add to get the total cost. 45+75=120. She spent $120.Now we subtract 120 from 150 and get 30.

Therefore, she has $30 leftover.

Hope this helps!!

Which of the expressions is rational

Answers

Answer:

the third one

Step-by-step explanation:

the square root of 25 is 5. 5+2 = 7.

this is a rational number (the set of all integers and fractions).

the other 2 portions contain at least one element that is not rational. and so the sum with such a number is not rational.

45 and 7 are no square numbers, and therefore the square root of these numbers contains a neverending chain of digits after the decimal point without having any repeating pattern. these are real numbers but not rational numbers.

Can I pls get some help

Answers

1,905.63 is the correct answer

the sum of the zeroes of polynomail ax² + bx + 4c is.
[tex] a) \:\: \frac{b}{a} \\ \\ b) \: \ \frac{ - b}{a} \\ \: \\ c) \: \frac{ c}{a} \\ \\ d) \: \: \frac{ - c}{a} [/tex]

say fast pls

Answers

Step-by-step explanation:

Q. the sum of the zeroes of polynomail ax² + bx + 4c is.

[tex]\mathbb\red{ \tiny A \scriptsize \: N \small \:S \large \: W \Large \:E \huge \: R}[/tex]

[tex] \\ \pmb{\boxed{\rm \leadsto\ b) \: \: \frac{ - b}{a} }}[/tex]

- 8th Grade Math -
Solve the system of equations:
2x - 4y = 10, x = 2y + 5

Answers

Answer:

All real numbers

Step-by-step explanation:

Since x=2y+5, and 2x-4y=10, substitute 2y+5 for x into 2x-4y=10

2(2y+5)-4y=10

Use distributive prop.

4y+10-4y=10

10=10

Since both sides of the equation are always equivalent,

All real numbers work, since the two equations are the same line.

im being timed! HURRYYYYYYYYY
simplify:

Answers

Answer:

B. [tex]p^2+p-11[/tex].

Step-by-step explanation:

Step 1:

[tex]((((3+(4*(p^2)))-5p)-3p^2)+4p)+8[/tex]

Step 2:

[tex]((((3 + 22p^2) - 5p) - 3p^2) + 4p) + 8[/tex]

Step 3:

Factoring  [tex]p^2-p+11[/tex]The first term is,  [tex]p^2[/tex]  its coefficient is  1 .The middle term is,  -p  its coefficient is  -1 .The last term, "the constant", is  +11 Step-1 : Multiply the coefficient of the first term by the constant   1 • 11 = 11 Step-2 : Find two factors of  11  whose sum equals the coefficient of the middle term, which is   -1 .      -11    +    -1    =    -12      -1    +    -11    =    -12      1    +    11    =    12      11    +    1    =    12 Observation : No two such factors can be found !!Conclusion : Trinomial can not be factored

Final Solution:

[tex]p^2 + p - 11[/tex]

How many millilitres are there in two point four litres?

Answers

Answer:

The answer is 2400

Step-by-step explanation:

1l = 1000 mal

Answer:

1 litre-1000 ml

so it is24000ml

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