What are the values of each Halloween icon? (Math Logic Puzzles) (78 POINTS)

Based on the evaluation of information given, the true statements for the option are ;

Given the packages for State University and Greenlawn College :

Green lawn scholarship = $60000 - $9000 = $51000

State university = $28000 - $12000 = $18000

The net price is the amount which the student actually pays for entry. Hence, Green lawn College is the best option for Janelle if decison is strictly based on cost.

A sticker price of $28000 is lesser than $60000. Hence, State University has a lower sticker price.

In determining, net price, the family income is a strong factor which is usually considered.

Hence, the false statement is ; if making a decision strictly based on cost, janelle's' best option is state university

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Answer:

15

Step-by-step explanation:

[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]

3 · 2 = 6

2 · 3 = 6

6 + 6 = 12

Have a luvely day!

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

The dimensions must be the same

10 yards = 10 × 3 feet = 30 feet

ratio = [tex]\frac{30}{10}[/tex] = [tex]\frac{3}{1}[/tex]

Answer:

The required numbers are 26 , 28 and 30

Step-by-step explanation:

Given that the sum of the three even integers is 84.

Answer:

x = -77

Step-by-step explanation:

based on the given conditions

x - 14 = -91

x = -91 + 14 then calculate the difference between -91 - 14 = -77

thus x which is peters number = -77

Answer:

28,134 / 47 = 598.6

Step-by-step explanation:

For the division of 28,134 ÷ 47, the quotient is determined as 598.596.

Quotient refers to the result obtained when one number (dividend) is divided by another number (divisor).

When you perform division, the quotient is the answer or the result of the division operation.

For the division of 28,134 ÷ 47, the quotient is calculated as;

28,134 ÷ 47

= 28,134 / 47

= 598.596

Therefore, for the division of 28,134 ÷ 47, the quotient is determined as 598.596.

Learn more about quotients here: https://brainly.com/question/33838790

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Answer:

2.93 repeating

Step-by-step explanation:

[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]

Given that,

[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]

and

[tex]\rm \longmapsto\:g(x) = x - 2[/tex]

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

[tex]\rm \longmapsto\:p(2)[/tex]

[tex]\rm \:  =  \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]

[tex]\rm \:  =  \: 16 - 8 - 4 - 4[/tex]

[tex]\rm \:  =  \: 16 - (8 + 4 + 4)[/tex]

[tex]\rm \:  =  \: 16 - 16[/tex]

[tex]\rm \:  =  \: 0[/tex]

[tex]\rm\implies \:p(2) \: = \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]

[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]

[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]

and

[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]

Now, By using Factor Theorem, Consider

[tex]\rm \longmapsto\:p( - 1)[/tex]

[tex]\rm \:  =  \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]

[tex]\rm \:  =  \: - 2 + 1 + 2 + 1[/tex]

[tex]\rm \:  =  \: 2[/tex]

[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]

So,

[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]

Answer:

12

Step-by-step explanation:

[tex] \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \div \frac{22}{5} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{11}{2} \times \frac{5}{22} \\ = \frac{1}{3} \times \frac{21}{4} - \frac{5}{4} \\ = \frac{7}{4} - \frac{5}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} [/tex]

[tex] \frac{1}{2} [/tex]

1.d

2.d

hope it helps

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

Answer:

2

Step-by-step explanation:

F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation

F(3) = -2(3) + 3

= -3

F(4) = -2(4) + 3

= -5

- 3 -(-5) = 2

Answer:

2

Step-by-step explanation:

Step 1: Solve for f(3)

Step 2: Solve for f(4)

Step 3: Subtract f(4) from f(3).

Therefore, the answer is 2.

Answer:

$1559.40

Step-by-step explanation:

1. Find the perimeter of the garden

[tex]14\frac{2}{3} + 14\frac{2}{3} + 10\frac{1}{3} + 10\frac{1}{3} = 50 yd[/tex]

2. Convert to feet

1 yd = 3ft

50 x 3 = 150

50 yd = 150 ft

3. Divide by 2.5 to find out how many sections are needed

150/2.5 = 60 sections

4.  Multiply by 25.99

60 x 25.99 = 1559.4

It will cost $1559.40

Answer:

a. 2:3, b. 25 students, c. 3:2

Step-by-step explanation:

a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.

b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.

c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.

Answer:

here is an an example

Step-by-step explanation:

Let x = the width of the rectangle

P = 2l + 2w

2(40) + 2x ≤ 150

80 + 2x ≤ 150

2x ≤ 70

x ≤ 35 cm

Answer:

Each women purchased 32 towels.

Step-by-step explanation:

Each women purchased 32 towels, because there are 768 towels in sale and 24 women, which mean each women take 32 from the 768. 768/24=768 or 24 women * 32 towels = the 168 towels on sale.

Answer:

c is the answer for this hope it helps

Answer:

Step-by-step explanation:

The first two options don't make sense as absolute value is always positive.

The third option requires the answer to be within one interval but our answer is the combination of two intervals.

Let's verify if the last option is correct:

So this option is matching the graph

Answer:

attached

Step-by-step explanation:

Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

Answer:

A) 7.5 seconds

Step-by-step explanation:

Height of the ground is zero

-16t^2 + 120t = 0

Divide both sides by 16

-t^2 + 7.5t = 0

Factor out t

t(-t + 7.5) = 0

From the zero product rule

t = {0, 7.5}

0 would be time of launch

7.5 is time back to the ground

Answer:

Answer: 8PM and 8AM

Step-by-step explanation:

2 |x-2| -12 = 0

2 |x-2| = 12

|x-2| = 6

x-2 = 6

x= 8

12 noon + 8 Hrs

= 8PM

x-2 = -6

x = -4

12 noon - 4 hrs

= 8AM

Answer: (-2,1)

Step-by-step explanation:

When reflecting over the x-axis, you keep the x-axis and invert the y-axis.

Answer:

35

Step-by-step explanation:

2.9375 is the answer

3 is the rounded up answer

i cant show steps cuz :p

sorry

anyway hope tis helps

Answer:

47/16

is basically dividing  

47÷16  

Long Division for 47 divided by 16  

=2.9375

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Integral of 2x is :

Answer:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

Answer:

It's the first and last one

Step-by-step explanation:

I just did it

Answer:

A) The population density for Montana can be found using the ratio 1,005,141:145,552.

E)The state with the smallest population density is Montana.

Step-by-step explanation: