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nlexa [21]
3 years ago
8

What is the value of x in the equation 5x+3 - 4x? O -3 O -1/3 O 1/3 O 3

Mathematics
1 answer:
Alina [70]3 years ago
6 0
The answer would be 3
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Which is an equation in point-slope form for the given point and slope? Point: (5, 9); Slope: 2
Ray Of Light [21]

(\stackrel{x_1}{5}~,~\stackrel{y_1}{9})~\hfill \stackrel{slope}{m}\implies 2 ~\hfill \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{2}(x-\stackrel{x_1}{5})

7 0
3 years ago
In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt
kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 ​minutes, a conveyor belt moves 800 pounds of recyclable

            aluminum from the delivery truck to a storage area. A smaller belt

            moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are​ used, find how long it takes to move the cans

              to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = \frac{1}{4} shifting/min

Rate of Smaller Belt = \frac{1}{6} shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = \frac{1}{x} shifting/min

Now,

\frac{1}{4}  + \frac{1}{6}  = \frac{1}{x}

⇒\frac{6 + 4}{24} = \frac{1}{x}

⇒\frac{10}{24} = \frac{1}{x}

⇒10x = 24

⇒x = \frac{24}{10} = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0
3 years ago
. The equation = can be used to find how many hours h a person needs to work to earn $200 at $8 per hour. How many hours does a
Rainbow [258]

Answer:

0.04 h

Step-by-step explanation:

The given equation is :

8h=200

It is used to find hours h a person needs to work to earn $200 at $8 per hour.

We need to find no of hours does a person need to work to earn $200. It can be calculated as follows :

\dfrac{8h}{200}=\dfrac{200}{200}\\\\h = 0.04\ h

So, for $200, the person will need 0.04 h.

5 0
3 years ago
If sally got 28 questions correct and received 70% on the exam, how many questions were on the exam
Furkat [3]

Answer: 40

Step-by-step explanation:

Number of correct questions Sally got = 28 questions

Percentage of correct questions answered= 70% on the exam,

Total number of questions in the exam = Unknown

Let the total questions in the exam be represented as y.

Since Sally got 70% correctly, this will be:

70% of y = 28

70/100 × y = 28

0.7 × y = 28

0.7y = 28

Divide both side by 0.7

0.7y/0.7 = 28/0.7

y = 40

There are 40 questions in the exam.

7 0
3 years ago
How long will it take for the money to triple? Compounded continuously.
Artemon [7]

The formula for compounded continuously is :

A=Pe^{rt}

Here the Amount triples , so let us say the new amount A=3P

3P=Pe^{rt}

Cancelling P from both sides we get,

3=e^{rt}

Now here we are given rate is 2.75% or 0.0275,

3=e^{0.0275t}

solving for t we get

t=39.95 years

4 0
3 years ago
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