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Tcecarenko [31]
3 years ago
12

I need help with this one Eight cookies cost $12. At this rate, how much will 10 cookies cost?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
3 0

Answer:

$15

Step-by-step explanation:

12/8 = 1.5 = 1.50 per cookie

1.50* 10 = 15

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Mikaela purchased a paddleboard originally priced at $699. If all merchandise was on sale for 40% off and the state tax rate is
vitfil [10]

Answer:

299.87

Step-by-step explanation:

699*0.40=279.60\\279.60*0.0725= 20.271 (round)\\279.60+20.27=299.87

6 0
1 year ago
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Add 3/4+(−2 1/2) using the number line.
Neko [114]

Answer:

-1 3/4

Step-by-step explanation:

6 0
3 years ago
Find the limit (Picture Provided)
aev [14]

As long as g(x) (or whichever function appears in the denominator) does not approach 0 as x\to c,

\displaystyle\lim_{x\to c}\frac{f(x)}{g(x)}=\frac{\lim\limits_{x\to c}f(x)}{\lim\limits_{x\to c}g(x)}

In this case,

\displaystyle\lim_{x\to4}\frac gh(x)=\lim_{x\to4}\frac{g(x)}{h(x)}=\frac0{-2}=2

so the answer is B.

8 0
2 years ago
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What is the length of line segment KJ?
Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

KJ^2=KM^2+MJ^2

KJ^2=6^2+3^2

KJ^2=36+9

KJ^2=45

Now we will take positive square root on both sides:

\sqrt{KJ^2}=\sqrt{45}

KJ=\sqrt{9\cdot 5}

KJ=3\sqrt{5}

Therefore, the length of line segment KJ is 3\sqrt{5} and option D is the correct choice.

5 0
3 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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