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mafiozo [28]
2 years ago
5

I really need help asap please

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
5 0
We can use the substitution method to solve this problem.

The second equation is \sf y=2x, so we can plug in 2x for 'y' in the first equation:

\sf 5x-2y=3

\sf 5x-2(2x)=3

Multiply:

\sf 5x-4x=3

Combine like terms:

\sf x=3

This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:

\sf y=2x

\sf y=2(3)

Multiply:

\sf y=6

This is the y-value of our solution. So our entire solution is (3, 6).
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A bacteria culture starts with 1000 bacteria and the number doubles every 40 minutes. (a) find a formula for the number of bacte
vfiekz [6]

The formula for the number of bacteria at time t is 1000 x (2^t).

The number of bacteria after one hour is 2828

The number of minutes for there to be 50,000 bacteria is 324 minutes.

<h3>What is the number of bacteria after 1 hour?
</h3>

The exponential function that can be used to determine the number of bacteria with the passage of time is:

initial population x (rate of increase)^t

1000 x (2^t).

Population after 1 hour : 1000 x 2^(60/40) = 2828

Time when there would be 50,000 bacteria : In(FV / PV) / r

Where:

  • FV = future bacteria population = 50,000
  • PV = present bacteria population = 1000
  • r = rate of increase = 100%

In (50,000 / 1000)

In 50 / 1  = 3.91 hours x 60 = 324 minutes

To learn more about exponential functions, please check: brainly.com/question/26331578

#SPJ1

5 0
1 year ago
Check all apply 3x+4=10
garri49 [273]

Answer:

Solution is x=2. sorry if this is not what you are looking for!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
the leaning tower of pisa in italy makes an angle of 86 degrees with the ground. a person standing on the ground approximately 8
Art [367]
See the picture to better understand the problem

we know that
in the triangle ABC
∠A+∠B+∠C=180°
∠C=180-(86+69)-----> ∠C=25°
Applying the law of sines
b/sin B=c/sin C------> b=c*sin B/sin C-----> b=82*sin 69/sin 25
b=181.14 ft

the answer is
181.14 ft

8 0
3 years ago
Read 2 more answers
The coordinate bridge shows the cost of different numbers of bookmarks how many sense do for bookmarks cost.
pogonyaev

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:

From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points (x_1,y_1)\ and\ (x_2,y_2) is:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\

From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:

y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6

The cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 54 cents

7 0
3 years ago
The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?
weeeeeb [17]
The "product" of two numbers means you multiply them.

So, you are multiplying (8-n), where n = "a number," by 7.

Then, when you decrease (subtract) this product by 5, you get 40.

So the whole thing looks like

7(8-n) - 5 = 40.
8 0
3 years ago
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