10) Select the relationship between each pair of quantities
that is not proportional.
A. A small pizza costs $9.00 and each additional topping cost
$0.75
B. A health club charges $45 per month.
C. A car travels 60 miles in 1 hour 120 in 2 hours and 180 miles
in 3 hours
D. A student earns $12 for each hour she tutors.

Answer:

BC = 6.8

Step-by-step explanation:

The distance from A to B, then from B to C, is the same distance as from A to C.

Thus,

AB + BC = AC

AB = 8x + 8

BC = 4x + 2

AC = 22

AB + BC = AC

(8x + 8) + (4x + 2) = 22

Expanding the parenthesis:

8x + 8 + 4x + 2 = 22

8x + 4x + 8 + 2 = 22

12x + 12 = 22

Subtracting 12 from both sides:

12x = 10

Dividing both sides by 12:

x = 10/12 = 1.2

x = 1.2

We're looking for BC. As we know,

BC = 4x + 2

Let's now put in x = 1.2 into this equation:

BC = 4x + 2

BC = 4 * 1.2 + 2

Since 4 * 1.2 is 4.8:

BC = 4.8 + 2

BC = 6.8

Answer: BC = 6.8

Answer:

31 degrees

Step-by-step explanation:

Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees

Answer:

64

Step-by-step explanation:

Let the common multiplier of the given ratio be x.

Therefore,

Number of males = 8x

Number of females = 6x

[tex]8x + 6x = 112 \\ 14x = 112 \\ x = \frac{112}{14} \\ x = 8 \\ number \: of \: males = 8x = 8 \times 8 = 64 \\ [/tex]

Answer:

Rs. 32.77

Step-by-step explanation:

----------

Finding cost price:

If cost = x:

SP at a loss of 17%:

Answer:

11beats / 1 second = 660 beats /1 minute

Answer:

Step-by-step explanation:

3(9x - 14/3x + 4 - 1 ≥ 2)

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6

13x ≥ -3

x ≥ -3/13

Answer:

x ≥ - [tex]\frac{3}{13}[/tex]

Step-by-step explanation:

Given

9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2

Multiply through by 3 to clear the fraction

27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6 ( subtract 9 from both sides )

13x ≥ - 3 ( divide both sides by 13 )

x ≥ - [tex]\frac{3}{13}[/tex]

Answer:

Step-by-step explanation:

the scientific notation of 91,007,500

9.10075 x 10^7

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

3

= 8

Step-by-step explanation:

Hope this helps? :))

[tex]\large\tt Step-by-step~explanation:[/tex]

To solve for x, we have to isolate the variable.

[tex]\tt Step~1:[/tex]

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]

[tex]\tt Step~2:[/tex]

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]

[tex]\tt Step~3:[/tex]

Finally, we divide both sides by 3 to isolate x and get our answer.

[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]

[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]

Answer:

Quadrant 4

Step-by-step explanation:

We go to the x-axis first and put a point on number 4, second we move that point along the y-axis till number -2

which is located in the 4th quadrant

Answer: Quadrant 4

Step-by-step explanation: Since the rule for Quadrant 4 is (+, -) it will be located there because 4 is a positive number and -2 is a negative number.

Answer:

x=6.2

Step-by-step explanation:

3(2x - 4) + (3x + 1) = 5x + 21 -(x +1)

6x-12+3x+1=5x+21-x-1

combine like terms:

9x-11=4x+20

move variables to same side by sub 4x and add 11

5x=31

x=6.2

Answer:

12/35

Step-by-step explanation:

Given the expression;

-4/5(3/5)(-6/7)(5/6)

First multiply the first two brackets

-4/5×3/5

= -12/25

Multiply the last expression in its lowest term

= -6/7×5/6

= -30/42

= -15/21

= -5/7

Multiply the resulting expressions together

= -12/25×-5/7

= -12/5×-1/7

= 12/35

Hence the beat estimate for the actual product is 12/35

Answer:

B

Step-by-step explanation:

Took the test ;)

[tex]\frac{9}{4}[/tex]Answer:

[-17, -[tex]\frac{9}{4}[/tex]

graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4   THEN another closed circle on -17 shaded to the right so they meet in the middle        

Step-by-step explanation:

-x-5 greater than or equal to 3x+4

-x-5 ≤ 12

x ≤ -9/4

-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)

Answer:

11 and 12, closest to 11

Step-by-step explanation:

The square root of 130 falls between 11 and 12

Since 11 squared is 121 and 12 squared is 144.

130 is closer to 121, making it closer to 11 than to 12.

Hope this helps :)

Answer:

answer is 5

Step-by-step explanation:

I used a calculator

Answer:

Step-by-step explanation:

g(f(x))

g(-x^2 - 1)

-x^2 + 0x + 4= -x^2 + 4

Answer:

2/3

Step-by-step explanation:

Simplify the following:

(8/27)^(1/3)

Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).

(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):

(8^(1/3))/(27^(1/3))

Hint: | Simplify radicals.

27^(1/3) = (3^3)^(1/3) = 3:

(8^(1/3))/3

Hint: | Simplify radicals.

8^(1/3) = (2^3)^(1/3) = 2:

Answer: 2/3

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

Answer:

Domain: (-5<x<-2) (1<x≤3]

Range: (-3<x<4) [-1≤x<2)

Step-by-step explanation:

(Explained another post by same asker)

(also this isnt interval notation, you would remove the <,≤, and x from it and keep the parenthesis and brackets were I put there were)

Answer

14

you have to simplify

8+1/2(12)

14

Answer:

-4.33333

Step-by-step explanation:

I searched it up on google but here you go

Answer:

A and C

Step-by-step explanation:

Took the test :/

Answer:

M(3/2,−9/2)

explaination:

the midpoint of a segment is the average values of the endpoint coordinates ie midpoint of ( x 1 , y 1 ) , ( x 2 , y 2 ) M ( x 1 + x 2 2 , y 1 + y 2 2 ) we ahve ( 3 , − 6 ) , ( 0 , − 3 ) ∴ M ( 3 + 0 2 , − 6 + − 3 2 ) M ( 3 2 , − 9 2 )

Answer: D

Step-by-step explanation:

To solve this problem, let's go through each pair to see if they are perpendicular lines.

A. Incorrect

These are parallel lines. We know this because they have the same slope and different y-intercept.

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B. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

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C. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

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D. Correct

These are perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair matches this property.

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E. Incorrect

These are not perpendicular lines. You can see that y=5 and x=5. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

Answer:

Step-by-step explanation:

√a^2 + b^2 =a+b

√ (a+b)^2 =a +b

The square root and the square cancel making

√a^2+b^2=a+b