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Vika [28.1K]
2 years ago
11

1/8 (16k-24) + 1/5 (2+10k) Show your work. ​

Mathematics
1 answer:
bearhunter [10]2 years ago
6 0

16/8k - 24/8 + 2/5 + 10/5k

2k - 3 + 2/5 + 2k

4k - 13/5

Hope it helps :)

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1. Six less than n is less than - 4. how would o write this equation <br>​
posledela

Answer:

n - 6 < -4

Step-by-step explanation:

6 being less than n hints at a subtraction equation, n coming first as the value of the constant is currently unknown. 'Less than -4' hints that -4 is the value on the other side of the inequality, < acting as the 'equal' sign in this sense.

6 0
3 years ago
Read 2 more answers
The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

6 0
2 years ago
Ned started the month with $137.06 in his bank account. Over the course of the month he got 2 paychecks. One for $286.77 and the
jonny [76]

Answer:

Step-by-step explanation:

-228.91

7 0
3 years ago
"Which ratio does not belong with the other three?" Explain your reasoning." Help me on 3. Please
SIZIF [17.4K]
12:15 does not belong, since that is a ratio of 4:5, whilst the others are all 3:4.
8 0
3 years ago
Read 2 more answers
5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat
frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

<u />

<u />

<u />

6 0
3 years ago
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