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sdas [7]
2 years ago
7

3/4k + 3/8k = 1/2 solve for k please

Mathematics
1 answer:
vlabodo [156]2 years ago
4 0

Answer:

K = 4/9

Step-by-step explanation:

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Cary is 4 years older than Dan. In 7 years the sum of their ages will be 76
bekas [8.4K]

Ages of Dan and Cary are 29 and 33 respectively.

<u>Step-by-step explanation:</u>

Step 1:

Form equations out of the given details. Let the age of Dan be x, then age of Cary is x + 4.

In 7 years, sum of their ages = 76

⇒ (x + 7) + (x + 4 + 7) = 76

⇒ 2x + 18 = 76

⇒ 2x = 58

⇒ x = 29

Step 2:

Calculate age of Cary.

⇒ x + 4 = 33

3 0
2 years ago
The bill for a stay in a hotel was $188 including $15 tax. what percent of the bill was the tax?
ziro4ka [17]
\frac{15}{188}\cdot100\%=\\\\\frac{1500}{188}\%\approx8\%\\\\The\ tax\ was\ about\ 8\%\ of \ bill.
4 0
2 years ago
Solve the inequality. <br><br>The solution is.... ​
MAVERICK [17]

Answer:

Step-by-step explanation:

-x - 6 > 21 - 28x

27x - 6 > 21

27x > 27

x > 1

8 0
3 years ago
- 21-p-11)<br><br> Giving branliest
posledela

Answer:

-32-p

Step-by-step explanation:

you combine the like terms which would be -21 and -11. that gives you -32 and -p is just by its self since there are no terms to combine it with

6 0
2 years ago
If x^2+y^2=1, what is the largest possible value of |x|+|y|?
Marianna [84]

If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).

Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).

If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.

• Case 1: suppose <em>x</em> < 0. Then

<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)

<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0   →   <em>x</em> = -1/√2   →   <em>y</em> = ±1/√2

• Case 2: suppose <em>x</em> ≥ 0. Then

<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)

<em>f'(x)</em> = 1 - <em>x</em>/√(1 - <em>x</em>²) = 0   →   <em>x</em> = 1/√2   →   <em>y</em> = ±1/√2

In either case, |<em>x</em>| = |<em>y</em>| = 1/√2, so the maximum value of their sum is 2/√2 = √2.

6 0
2 years ago
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