What is 1/6÷7/8 as a fraction in lowest terms

Answer:

A) Linear

Step-by-step explanation:

For a linear relation, there will be a constant rate of change

For an exponential relationship, there will be a multiplicative rate of change.

For x-values, there is a constant difference of

[tex]d = 4 - - 3 = 11 - 4 = 18 - 11 = 7[/tex]

For the y-values, there is a constant difference of

[tex]b = 1 - - 3 = 5 - 1 = 9 - 5 = 4[/tex]

The rate of change of the function represented by the table is

[tex]m = \frac{change \: in \: y}{change \: in \: x} = \frac{4}{7} [/tex]

The equation can be derived as:

[tex]y + 3 = \frac{4}{7} (x + 3)[/tex]

This is a linear relationship

Answer:

plot the first point on -3 3/4 which is 1 line to the left of -3 and the second on 3/2 which is 1 1/2 or 1 1 2/4 which is in the middle of 1 and 2

Step-by-step explanation:

Step-by-step explanation:

[tex]5 \: hours \: = 5 \times 60 = 300 \: min \\ minutes \: per \: episode = \frac{300}{6} \\ = 50 \\ [/tex]

Hence, each episode lasted for 50 minutes on an average.

On average, each episode of the TV series lasts 50 minutes, calculated by converting the total viewing time of five hours to 300 minutes and dividing that by the number of episodes, which is six.

To calculate the average duration of an episode, we need to convert the total time of all episodes from hours to minutes and then divide by the number of episodes.

There are 60 minutes in one hour, so five hours equates to 300 minutes (5 hours × 60 minutes/hour = 300 minutes). With six episodes in total, we divide the total minutes by the number of episodes to find the average length of one episode.

300 minutes / 6 episodes = 50 minutes per episode.

Therefore, on average, each episode of the TV series lasts 50 minutes.

Answer:

33

Step-by-step explanation:

5a+b

if a = 6 and b = 3, substitute these values into the expression:

5a+b

= 5(6) + 3

= 30 + 3

= 33

Hope This Helps!!!!!!!!!!!!!!

Answer:

33

Step-by-step explanation:

5a+b

if a = 6 and b = 3, substitute these values into the expression:

5a+b

= 5(6) + 3

= 30 + 3

= 33

Answer:

False

Step-by-step explanation:

a) Net result of Tamiko's transactions = $143.75

b) Total amount she can save = $86.25

Step-by-step explanation:

Step 1 :

Given,

Amount Tamiko got in her first check =  $109.60

Amount of the bonus check = $34.15

Fraction of the amount she wants to save = [tex]\frac{3}{5}[/tex]

We need to find the net results of her transactions and the amount she will save

Step 2 :

The new result of her transactions can be computed by adding the amount she has received through both the check.

Total amount she received  = 109.60 + 34.15 = 143.75

Total amount she can save =   [tex]\frac{3}{5}[/tex] × 143.75 = 86.25

Step 3 :

Answer :

a) Net result of Tamiko's transactions = $143.75

b) Total amount she can save = $86.25

Answer: B) 1 second

Step-by-step explanation:

plug 16 (final height) into the equation given:

16=-16t^2+8t+24, and solve for t.

x will equal -1/2 or 1

disregard the negative because you can’t have time.

To reach 16 feet above the water, you would reach that height after approximately 1/2 second. Option C

To find when you would reach 16 feet above the water, set the function h(t) equal to 16 and solve for t:

-16t2 + 8t + 24 = 16

Combine like terms to get:

-16t2 + 8t + 8 = 0

Now, you can use the quadratic formula to solve for t:

t = (-b ± √(b2 - 4ac)) / (2a)

Plug in the values of a, b, and c from the equation:

t = (-8 ± √(82 - 4(-16)(8))) / (2(-16))

Simplify the expression inside the square root and solve for t to get the answer:

t ≈ 1/2 second

Option C

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Step-by-step explanation:

Let A be the point at which the graph y=x²+3x-18

intersect the x-axis

As the graph intersects x-axis it's coordinate will be (x,0)

putting the value of y =0

x²+3x-18=0

x²+6x-3x-18=0

x(x+6)-3(x+6)=0

(x+6)(x-3)=0

x=-6, or,x=3

The point A maybe (-6,0) or (3,0)

Answer:

Step-by-step explanation:

A net is a drawing that shows the edges and faces of a solid in two dimensions. You can think of a net as what you would get if you “unfolded” a solid. ... The net is made of three congruent rectangles and two congruent equilateral triangles. The surface area is the sum of the areas of the five shapes.

Answer:

three-dimensional figure that represents a cylinder

Step-by-step explanation:

Answer:

AB = [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 theorem, usually x is used to explain but I will use y since x is in your problem, just substitute any variable for y

in a 30 -60 -90 triangle

the length opposite the 30 degrees is y

the length opposite the 60 degrees is y[tex]\sqrt{3}[/tex]

the length opposite the 90 degrees is 2y

since y[tex]\sqrt{3}[/tex] = 6

y = 6/[tex]\sqrt{3}[/tex]

rationalizing the denominator

[tex]\frac{6}{\sqrt{3} } *\frac{\sqrt{3}}{\sqrt{3}}[/tex] = [tex]\frac{6\sqrt{3} }{3} = 2\sqrt{3}[/tex]

if y = [tex]2\sqrt{3}[/tex], 2y = [tex]4\sqrt{3}[/tex]

Answer:

m=3/4

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope.

m=9−(3)/5−(−3)

Simplify.

m=3/4

The slope of the line passing through the points (-3,3) and (5,9) is 3/4

The formula for calculating the slope of a line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Given the coordinate (-3,3) and (5,9), substitute the coordinates into the formula as shown below;

[tex]m=\frac{9-3}{5-(-3)}\\m=\frac{6}{5+3} \\m=\frac{6}{8}\\m=\frac{3}{4}[/tex]

Hence the slope of the line passing through the points (-3,3) and (5,9) is 3/4

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Answer: True

Step-by-step explanation:

769.5/142.5 = 5.4

Step-by-step explanation:

[tex]6x+3y=12\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\6x-6x+3y=12-6x\\\\3y=12-6x\qquad\text{divide both sides by 3}\\\\\dfrac{3y}{3}=\dfrac{12}{3}-\dfrac{6y}{3}\\\\\large\boxed{y=4-2y}\\\\===================[/tex]

[tex]2p-k=3\qquad\text{subtract}\ 2p\ \text{from both sides}\\\\2p-2p-k=3-2p\\\\-k=3-2p\qquad\text{change the signs}\\\\k=-3+2p\\\\\large\boxed{k=2p-3}\\\\===================[/tex]

[tex]6v-2w=10\qquad\text{subtract}\ 6v\ \text{from both sides}\\\\6v-6v-2w=10\\\\-2w=10-6v\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2w}{-2}=\dfrac{10}{-2}-\dfrac{6v}{-2}\\\\w=-5+3v\\\\\large\boxed{w=3v-5}\\\\===================[/tex]

Answer:

2880 km

Step-by-step explanation:

(distance) = (rate)*(time).

Here we have:

(distance traveled) = (720 km/hr)(4 hrs) = 2880 km

Solution:

Given that,

[tex]y = 4.50x[/tex]

We have to find the constant of proportionality in the equation

We know that,

When y varies directly with x, then

[tex]y \propto x\\\\y = kx ---- eqn\ 1[/tex]

Where, "k" is constant of proportionality

From given,

y = 4.50x

Compare the above equation with eqn 1,

Thus, constant of proportionality in the equation y = 4.50x is 4.50

i dont wanna just give away the answer so heres a hint

#x stands for # X x  or # times x

x is a vairable so the x+13 part will be #+13

figure out what the number is then if you still need help ask me again

The expression 30 divided by (3+x) is already presented in its simplest form which is 30 / (3 + x).

The question which expression is equivalent to 30 divided by (3+x) pertains to the simplification of algebraic expressions, a basic concept in algebra. To solve or simplify this expression directly, it remains 30 / (3 + x), as there is no further simplification that can be done without additional context or constraints on the variable x. In algebra, expressions are simplified or manipulated using algebraic rules, but in this case, the expression is already in its most simplified form unless specific values are provided for x.

Answer:

The correct answer is B. $ 29,555.50

Step-by-step explanation:

Let's calculate A, using the formula provided, this way:

A = P * [(1 + r)ⁿ - 1]/r * (1 + r)ⁿ, where:

P is the month payment = 725

r is the monthly interest rate = 0.0825/12 = 0.006875

n is  the the number of months to pay = 4 * 12 = 48

Replacing with the values we know, we have:

A = P * [(1 + r)ⁿ - 1]/r * (1 + r)ⁿ

A = 725 * [(1 +0.006875 )⁴⁸ - 1]/0.006875 * (1 +0.006875 )⁴⁸

A = 725 * 0.38939833/0.006875 * 1.38939833

A = 282.313789/0.009552114

A = 29,555.50

The correct answer is B. $ 29,555.50

The correct option is B. [tex]\$29555.50[/tex]. The maximum loan Chase can afford, while making monthly payments of [tex]\$725[/tex] for [tex]4[/tex] years at an [tex]8.25\%[/tex] annual interest rate.

Given:

Monthly payment [tex]\( P = $725 \)[/tex]

Annual interest rate [tex]\( r = 8.25\% \)[/tex] or [tex]\( 0.0825 \)[/tex] as a decimal

Number of payments per year [tex]\( n = 12 \)[/tex] (since monthly payments)

Number of years [tex]\( t = 4 \)[/tex]

The formula to calculate the present value [tex]\( A \)[/tex] of the loan is:

[tex]\[ A = P \times \frac{1 - (1 + \frac{r}{n})^{-nt}}{\frac{r}{n}} \][/tex]

Now, substitute the given values

[tex]\[ A = 725 \times \frac{1 - (1 + \frac{0.0825}{12})^{-12 \times 4}}{\frac{0.0825}{12}} \][/tex]

First, calculate [tex]\( \frac{r}{n} \)[/tex]

[tex]\[ \frac{0.0825}{12} = 0.006875 \][/tex]

Next, calculate [tex]\( (1 + \frac{r}{n})^{-nt} \)[/tex]

[tex]\[ (1 + 0.006875)^{-48} = 0.7221 \][/tex]

Now substitute these values into the formula for [tex]\( A \)[/tex]

[tex]\[ A = 725 \times \frac{1 - 0.7221}{0.006875} \][/tex]

[tex]\[ A = 725 \times \frac{0.2779}{0.006875} \][/tex]

[tex]\[ A = 725 \times 40.4218 \][/tex]

[tex]\[ A = 29555.50 \][/tex]

To divide the number in the thousands place by itself and then multiply the answer by 0, we can follow a simple process. Let's consider an example where the number in the thousands place is 5. Dividing 5 by 5 gives us 1. Multiplying 1 by 0 gives us 0, which is the answer in the tenths place.

To divide the number in the thousands place by itself, we can consider a specific number for better understanding. Let's say the number in the thousands place is 5. Dividing 5 by 5 gives us 1. To find the answer in the tenths place, we need to multiply 1 by 0. The product of 1 and 0 is 0. Therefore, the answer in the tenths place is 0.

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Answer:

answer is A

Step-by-step explanation:

Answer:

The answer is 90

The value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have given an expression:

10!/(10 - 2)!

The sign '!' represents the factorial of the number.

As we know,

If factorial of any number can be evaluated:

n! = n(n - 1)(n - 2)(n - 3)(n - 4).......1

10! = 10×9×8×7×6×5×4×3×2×1

or

10! = 90(8!)

(10 - 2)! = 8!

= 90(8!)/(8)!

90

8! is canceled out from the numerator and denominator

Thus, the value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.

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Answer: p = 0.23

Step-by-step explanation:

-10 + 20p + 6p =-16

To find the value of p

Step 1: combine like terms

20p + 6p = -16 + 10

26p = 6

Divide both sides by 26

p = 6/26

P= 0.23

I hope this helps.

Answer:

p = -3/13

Explanation:

1. add 10 onto right side

2. combine like terms

3. divide by 26 to get p by itself

4. simplify

Answer:

20.4

Step-by-step explanation:

20.35185185185185

You have to round it because in the hundredth place #5 is over 5 so, it rounds so the answer is 20.4.

Anything more than 5, 6, 7, 8, 9 ^ rounds.

Answer:

$75 x .20=$15

75-15=$60

To find out how much Gena's outfit cost after the 20% discount, subtract the discount amount from the original price.

To find out how much Gena's outfit cost after the 20% discount, we can use the formula:

The discount amount = original price x discount percentage

In this case, the discount amount = $75 x 0.20 = $15.

Therefore, Gena's outfit cost after the discount is:

Original price - discount amount = $75 - $15 = $60.

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Answer:

3.5 kilometers per/hour

Step-by-step explanation:

6/4= 1.5

1.5+2=3.5

Answer: x = -14/5

Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation

-2/3 (x + 2) = 1/6 (x + 6)

(-2x/3) -4/3 = (x/6) + 1

By collecting like terms we now have

(-2x/3) - (x/6) = 1 + 4/3

(-4x - x)/6 = 7/3

-5x/6 = 7/3

By cross multiplication we now have

-5x (3) = 7 (6)

-15x = 42

x = -(42/15) {simplify further by dividing the RHS by 3}

x = -14/5

Therefore x equals, minus fourteen over five (-14/5)

To calculate the total cost for a 660 feet fence by Company 2, subtract the initial 550 feet covered by the flat fee from the total length, multiply the additional feet by the per-foot cost, and add the flat fee to get the final cost, which is $7790.

The student is asking about calculating the total cost for installing fencing, which involves initial fees and additional per unit costs. In this case, Company 2 charges a flat fee for the first 550 feet of fence and then an additional fee for each foot beyond that.

To find the total cost when Company 2 installs a fence of 660 feet, we first calculate the number of feet beyond the initial 550 feet. This is 660 - 550 = 110 feet. Then, we multiply the additional feet by the cost per additional foot: 110 feet x $29/foot = $3190.

Lastly, we add the initial flat fee of $4600 to the cost for the additional feet to get the total cost: $4600 + $3190 = $7790.