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statuscvo [17]
2 years ago
13

Lucy and Emily are racing with each other and Lucy is 90

Mathematics
1 answer:
Zina [86]2 years ago
8 0

Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds

Given the Parameters :

  • Lucy's distance = 2t
  • Emily's distance = 5t

<u>We can set up an equation to represent the required scenario thus</u> :

Emily's distance = Lucy's distance + 90

5t = 2t + 90

We solve for t

<em>Collect like terms</em> :

5t - 2t = 90

3t = 90

Divide both sides by 3 to isolate t

t = 90/3

t = 30

Therefore, Emily will catch up with Lucy after 30 seconds

Learn more :brainly.com/question/13218948

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In \triangle LMN,△LMN, \angle N \cong \angle M,∠N≅∠M, LM = 14LM=14 and MN = 8MN=8. Find the length of NL.NL.
Black_prince [1.1K]

Answer:

11.5

Step-by-step explanation:

We solve using :

Pythagoras Theorem

LM² = MN² + NL²

NL² = LM² - MN²

NL = √LM² - MN²

NL = √14² - 8²

NL =  √(132)

NL = 11.489125293

NL = 11.5

Therefore, the length of NL = 11.5

7 0
3 years ago
1. Solve the system by using a table. 3y=4x+7 , -4x-4y=28. These are the possible solutions: A) (–4, –3), B) (–3, –4), C) (4, 3)
melisa1 [442]
<span>The first question:
3y=4x+7            (1)
-4x-4y=28          (2)

Let's plug in x = -4, -3, 3, and 4 and see the y-values :)

I have attached the table since it's hard to make a table with text :P
As you can see, when x = -4, that is when the y-values are equal. That means that is the solution to the system of equations. Your answer is A) (-4, -3).

The second question:
</span><span>-3x-y=-10    (1)
4x-4y=8       (2)
</span>
When you graph both equations, you will see that they intersect at D) (3, 1).

The third question:
We need to find the lines for revenues and expenses. 
To find the line for revenues, make months the x-value and revenues the y-values. And find the equation. You should get y = 4,100x + 300.
To find the line for expenses, make months the x-value and expenses the y-values. And find the equation. You should get y = 1,900x + 19,990.

Now graph both solutions and see where they intersect. They intersect at approximately (8.95, 36995)

That would be during the month of C) August.

4 0
3 years ago
Read 2 more answers
Resolva pelo método da adição:<br> {2x + 3y = 26<br> {3x + 2y =19
Lynna [10]

(6x+9y=78) - (6x+4y=38) = (5y=40) = y=8

(2x+3(8)=26) = (2x+24=26) = (2x=2) = x=2


5 0
3 years ago
Find the area of the figure sides meet at right angles 8 cm, 3cm, 4cm, 5cm, 9cm​
Ivenika [448]

Answer:

umm is it a quadrilateral

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
An experiment is conducted to test the claim that james bond can taste the difference between a martini that is shaken and one t
sammy [17]

In hypothesis testing the claim that we have to test always goes into alternative hypothesis. The null hypothesis is negation of claim.

Here the claim to be tested is James bond can taste the difference between a martini that is shaken and one that is stirred.

So negation of this claim is James bond can not taste the difference between a martini that is shaken and one that is stirred.

So the null hypothesis for given experiment is

Null hypothesis: James bond can not taste the difference between a martini that is shaken and one that is stirred.

Alternative hypothesis: James bond can taste the difference between a martini that us shaken and one that is stirred.

5 0
3 years ago
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