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crimeas [40]
3 years ago
13

(07.05 LC) How many solutions does the equation 4y + 7 = 5 + 2 + 4y have? One Two None Infinitely many

Mathematics
2 answers:
Elza [17]3 years ago
8 0

Answer: Infinitely many

Step-by-step explanation:

First simplify the right side by adding 5 and 2

now you have the equation 4y+7=7+4y

That is the exact same thing so any number works.

Reil [10]3 years ago
7 0

just to add to the great reply above.

\bf \begin{matrix} 4y \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}+7=5+2~~\begin{matrix} +4y \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}\implies 7=7

whenever you end up with something like 0 = 0, or 7 = 7, is a flag that both equations are exactly the same, in this case, the one on the right-hand-side is really the one one the left-hand-side <u>in disguise</u>.

So the graph of one, is the same as the graph of the other, or put in another words, let's say the graph the first one, the second one when graphed, will just be pancaked on top of the first one, and any point whatsoever on the second one, matches with the first one, and since both lines continue infinitely, then infinitely many solutions.

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23% would be the answer
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3 years ago
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Find the surface area and lateral surface area of the cylinder : radius: 3yd height 6yd
Svetradugi [14.3K]

Answer:

Step-by-step explanation:

lateral area=πr²h=π×3²×6=54π sq. yards

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4 0
3 years ago
Roberto wants to display his 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different wa
GREYUIT [131]

Let x denote the number of pages holding 2 cards and y denote the number of pages holding 3 cards.

So his entire number of card would be represented by 2x + 3y, which is given as 18.

2x + 3y = 18

Subtract 3y from the two sides:

2x  = 18 – 3y

then divide both sides by 2:

x = (18 – 3y)/2

We know that x must be an integer. So 18 – 3y must be a multiple of 2. Since 18 is a multiple of 2, 3y is also a multiple of 2. Then y must be a multiple of 2 too.

Let's start with y = 0.
When y = 0, x = (18 – 3(0))/2 = 9.
When y = 2, x = (18 – 3(2))/2 = 6.
When y = 4, x = (18 – 3(4))/2 = 3.
When y = 6, x = (18 – 3(6))/2 = 0.

Thus there are 4 ways to display his figures.

6 0
3 years ago
The residents of a city voted on weather to raise property taxes . THe ratio of yes votes was 3 to 5. If there were 4845 no vote
Basile [38]

The total number of votes would be: 7752 total votes.

Here's how you solve it!

For every 3 yes there was 5 no's.

You would but that into a fraction so it would be 3/5

Then you take the number of no votes and multiply.

3/5 x 4845

Then you would get 2907.

4845+ 2907= 7752

4845= no votes

2907= yes votes

7752= total votes

Hope this helps! :3

8 0
3 years ago
The function P=48∙e^((.045t)) gives the number of bacteria in a population as a function of time in hours.
vlabodo [156]

The number of bacteria when t = 8 is approximately 66 bacterias

<h3>Exponential functions</h3>

Given the function that gives the number of bacteria in a population as a function of time in hour expressed as:

P=48∙e^((0.045t))

If the value of t is 8, hence;

P=48∙e^((0.045(8))

P = 48e^0.36

P = 65.933

Hence the number of bacteria when t = 8 is approximately 66 bacterias

Learn more on exponential function here: brainly.com/question/12940982

#SPJ1

6 0
1 year ago
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