X
18. MODELING WITH MATHEMATICS The inequality
3x + 2y 2 93 represents the numbers x of multiple-
choice questions and the numbers y of matching
questions you can answer correctly to receive an A on
a test. You answer 20 multiple-choice questions and
18 matching questions correctly. Do you receive an A
on the test? Explain.

The average speed in feet per hour will be;

⇒ 942.85 feet per hour

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Distance = 22 inches

Time = 7 seconds

Now,

Since, A tortoise moves at a speed of 22 inches in 7 seconds.

Hence, Distance = 22/12 feet

And, Time = 7 / 3600

Thus, The average speed = (22/12) / (7/3600)

                                        = 22 × 3600 / 12 × 7

                                        = 942.85 feet per hour

Therefore, The average speed in feet per hour will be;

⇒ 942.85 feet per hour

Learn more about the mathematical expression visit:

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Answer:

y = -3x - 3

Step-by-step explanation:

Subtract 3x both sides

y = -3 - 3x

y = -3x + (-3)

Answer:

-3 to -infinity

Step-by-step explanation:

I got this answer by first using the slope formula, which would result into [tex] \frac{0 - 4}{6 - 0} \\ [/tex]for which the answer would be - ⅔ Then, the y-intercept could be found easily, since you already have it., which is (0,4). Since the format for all linear equations are y=mx+b , in which b means the y-intercept and m means the slope. So then, if you substitute - ⅔ for m and 4 for b , you would get

[tex]y = - \frac{2}{3} x + 4 \\ [/tex]

Answer: The rate of change decreased.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

hope this helped

Answer:

4y = -3x - 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 13

the value of function at n = 3 is  f( 3 ) is - 10.

To find the value of f( 3 ), we can use the given recursive formula:

f(n) = f( n - 2 ) + f( n - 1 )

We already have the values of f(1) and f(2):

f(1) = - 6

f(2) = - 4

Now, let's apply the recursive formula to find f(3):

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

f(3) = f(1) + f(2)

f(3) = - 6 + (- 4)

f(3) = - 10

So, the value of f(3) is - 10.

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Answer:

(-1, 2.5) is correct

Step-by-step explanation:

Given

Let A(1, 1)

Let B(1, 4)

Let C(-3, 4)

Let coordinates of the circumcenter is (x, y)

Using distance formula  put the y value in this equation

So the coordinates of the circumcenter is (1, 2.5)

Step-by-step explanation:

Sorry it's so long.

Answer:

11

Step-by-step explanation:

22x = 2 · 11 · x

33 = 3 · 11

common factor to both is 11

Answer:  1979 students.

Step-by-step explanation:

We are told that 3/4  (75% or 0.75) of total students voted, which amounted to 1484 votes.

Letting X be the total number of students, we can write that as:

 (0.75)X = 1484

X = 1978.67 total students

Now I know one classmate who wasn't all there, but I suspect even he isn't counted as 0.67 of a student.  So round to the nearest whole number, 1979 students.

Answer:

x = -2

y = -6

Step-by-step explanation:

x - 4 = 4x + 2

-4 = 3x + 2

-6 = 3x

x = -2

y = -2 - 4;  y = -6

Answer:

x=1.5

Step-by-step explanation:

Answer: x=2

Step-by-step explanation: 28/4-5= 2

Hello there, you are asking us to distribute [tex]\frac{2}{3}(x-66)[/tex], which can also be phrased as [tex](x\cdot\frac{2}{3})-(66\cdot\frac{2}{3})[/tex], complete what's in the parenthesis, and we get [tex]\frac{2}{3} x-44[/tex] as our answer,

Definition- Distribute Property - The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Answer:  y = -(1/2)x + 3

Step-by-step explanation:

y = 2x - 1

This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).

Perpendicular lines have a slope that is the negative inverse of the reference line.  The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).

This yields the equation y = -(1/2)x + b

To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:

y = -(1/2)x + b

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

b = 3

The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:

y = -(1/2)x + 3

Answer:

x=5.834729, rounded down to 5.83

Answer: 12.71

Step-by-step explanation: 50.84 divided by 4 = 12.71

Answer:

18900

Step-by-step explanation:

I Can't Believe There Still Work It's Christmas Break

Answer:

20

Step-by-step explanation:

Distance formula =

x={sq rt} of (x2-x1)^2 + (y2-y1)^2

{sq rt} (-7-5)^2+ (-7-9)^2 = {sq rt} (-12)^2 + (-16)^2 = {sq rt}

144+256= {sq rt} 400

{sq rt} 400 = 20

(I think its been a hot sec since I did distance formula stuff)

Answer:

20

Step-by-step explanation:

You can use the distance formula

sqrt(((5--7)^2)+((9--7)^2)) = 20

Answer:

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Step-by-step explanation:

7 + 3² - 2.5 / 4 - 1.2 = 4.82142857

( 3/4 + 1/8 ) ÷ 1/8 - 2² = 3

Which means :

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Answer: Polynomial

Step-by-step explanation:

Answer: C. 6 therms

Step-by-step explanation:

6 + 1.25(6) = $13.50

9 + 0.75(6) = $13.50

Correct me if I am incorrect.

Answer: C 1/2mL LMN= mL LMO

Step-by-step explanation: because 2/76 is 38 C is the right answer

Answer:

0 ≤  x ≤ 20.

Step-by-step explanation:

-10≤2x – 10 ≤30

2x - 10 ≤ 30

2x ≤  40

x ≤ 20.

2x - 10  ≥ -10

2x ≥  0

x ≥ 0.

For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.

For Example:

-10 ≤2x-10 Would be 0 ≤x

Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x

2x-10 ≤30 Would be x ≤20

Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20

So the answer would be 0 ≤ x ≤  20

Answer:

6 maybe I'm not sure jkeneekenene

Answer:

3x

Step-by-step explanation:

A rectangle is similar to a square, in the sense that opposite sides will always be the same. Because we are given the side of the length is 3x-3, this means that the other length will too be 3x-3. Now, we may add these:

(3x-3)+(3x-3)=6x-6

And because we are given our perimiter, simply subtract the lengths we do know:

(12x+6)-(6x-6)=6x

This is the perimetor we have left in our shape. Because we again know that opposing sides are the same length, simply dividing our answer by two will give us the length we need:

6x/2=3x

Based on this, our length of the indicated side is 3x!

Hope this helped!

Answer:

6432)10 = (1100100100000)2

Step-by-step explanation:

Step 1: Divide (6432)10 successively by 2 until the quotient is 0:

6432/2 = 3216, remainder is 0

3216/2 = 1608, remainder is 0

1608/2 = 804, remainder is 0

804/2 = 402, remainder is 0

402/2 = 201, remainder is 0

201/2 = 100, remainder is 1

100/2 = 50, remainder is 0

50/2 = 25, remainder is 0

25/2 = 12, remainder is 1

12/2 = 6, remainder is 0

6/2 = 3, remainder is 0

3/2 = 1, remainder is 1

1/2 = 0, remainder is 1

Step 2: Read from the bottom (MSB) to top (LSB) as 1100100100000. This is the binary equivalent of decimal number 6432 (Answer).

Hopes that it will help u...☺

[tex]\huge \bf༆ Answer ༄[/tex]

The method to convert the number from Decimal to binary number system is simple ~

Now let's solve the given question ~

Now, write the numbers from bottom to top ~

[tex] \sf{1100100100000}[/tex]

I hope it helps ~