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3 years ago

Six more than the quotient of a number be in 30 is greater than three

Mathematics

1 answer:

LuckyWell [14K]3 years ago

7 0

Answer: 14

Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.

Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.

The final total says 14. That gives us the following:

6 + x/3 = 14

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Two carpenters are building a fence after 5 minutes,one carpenter is finished 4/7 of the way an the other is finished 1/8 of the

torisob [31]

The first carpenter is 0.4464 of the way is ahead of the second carpenter

Solution:

Given, Two carpenters are building a fence

After 5 minutes, one carpenter is finished 4/7 of the way

Second carpenter finished 1/8 of the way

Now, let us find the work done by each carpenter

$\begin{array}{l}{\text { For } 1^{\text {st }} \text { carpenter }=\frac{4}{7}=0.5714 \text { approximately. }} \\\\ {\text { For } 2^{\text {nd }} \text { carpenter }=\frac{1}{8}=0.125}\end{array}$

Then, extra work done by first carpenter over second carpenter = work done by first carpenter – work done by second carpenter

= 0.5714 – 0.125 = 0.4464

Hence, the 1st carpenter is 0.4464 of the way is ahead of the 2nd carpenter

6 0

4 years ago

Identify the vertex of the quadratic function

Angelina_Jolie [31]

Answer:

(-2,-1)

Step-by-step explanation:

On the graph, the vertex is where the bottom of the U is. In general, it's always that same place on the U, but the U could be turned upside down or left or right. Looking at the bottom of the U, count on the x axis first (left 2, which is negative). That's your first number. Then count on the y axis (down 1, again, negative). That's your second number. Hope this helps!

5 0

3 years ago

Read 2 more answers

An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can

serg [7]

Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0 ......[1]

the solution for the equation is given by:

$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

On comparing the given equation with [1] we have;

a = -16 ,b = 80 and c = 300

then;

$t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}$

$t= \frac{-80\pm \sqrt{6400+19200}}{-32}$

$t= \frac{-80\pm \sqrt{25600}}{-32}$

Simplify:

$t = -\frac{5}{2}$ = -2.5 sec and $t = \frac{15}{2}$ = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

8 0

4 years ago

Tom and his best friend are going to join a gym. Tom saw that Platinum gym has a sale with a one time fee of $90 and a monthly f

worty [1.4K]

Answer:

Part 1:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2: $270

Part 3: $320

Part 4: 11 months

Part 5: See explanation below

Step-by-step explanation:

Part 1:

Let "x" be the number of months:

For Platinum Gym:

90 + 30x

For Super Fit Gym:

200 + 20x

Part 2:

We put x = 6 in platinum gym's equation and get our answer.

90 + 30x

90 + 30(6)

90 + 180

=$270

Part 3:

We put x = 6 into super fit's equation and get our answer.

200 + 20x

200 + 20(6)

200 + 120

=$320

Part 4:

To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:

90 + 30x = 200 + 20x

10x = 110

x = 11

So 11 months

Part 5:

We know for 11 months, they will cost same. Let's check for 10 months and 12 months.

In 10 months:

Platinum = 90 + 30(10) = 390

Super Fit = 200 + 20(10) = 400

In 12 months:

Platinum = 90 + 30(12) = 450

Super Fit = 200 + 20(12) = 440

Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.

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4 years ago

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3 years ago