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sladkih [1.3K]
3 years ago
7

Help please!! i need this last one to finish!!!! 44 points!!

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

The point is at about (4.5, 100).

Step-by-step explanation:

Minka's line is p = 22t, which has a y-intercept of 0.

Kenji's line is p = 50 + 11t, which has a y-intercept of 50.

Find the line with y-intercept at 0 and the line with y-intercept at 50. Follow the two lines until they intersect. The point of intersection is about (4.5, 100).

You can find this point by setting the two equations equal to each other:

22t = 50 + 11t

Subtract 11t from both sides.

11t = 50

t = 50/11 ≈ 4.545

Then you can find the p value for this point by plugging t = 4.545 into either equation.

p = 22(4.545) = 99.99

p = 50 + 11(4.545) = 99.995

On the graph the point is about (4.5, 100).

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44) The difference of two numbers is 76. The second number is 20% of the first number. What are the numbers?
Nina [5.8K]

Answer:

C

Step-by-step explanation:

Not A b/c the difference b/w 85 and 17 is not 76

Not D b/c the difference b/w 97 and 17 is not 76

Not B b/c 16 is not 20% of 92

By the process of elimination the answer is C

3 0
3 years ago
How do i write 11 5/8 as an improper fraction
FinnZ [79.3K]
11 5/8 as a improper fraction 

1) Simplify Fraction 
⇒ Multiply denominator with whole number
8 x 11 = 88

⇒ Answer of multiplication and add the numerator 
88 + 5 = 93 

93/8 is improper Fraction. 


8 0
3 years ago
Read 2 more answers
Serika has hired Tom to build her a dollhouse. The dollhouse will be a scale model of her home, and the scale will be 2 inches :
sveticcg [70]

Answer:

96 square inches

Step-by-step explanation:

The scale is 2 inches : 3 feet

Thus for 18 feet in Serika's real house, the model is 18 * (2"/3') = 12 inches

For 12 feet in Serika's real house, the model is 12 * (2"/3') = 8 inches

Area of carpeting needed in Serika's dollhouse = 12" * 8" = 96 square inches

7 0
2 years ago
Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 +
timama [110]

Looks like your function is

f(x)=\dfrac x{6x^2+1}

Rewrite it as

f(x)=\dfrac x{1-(-6x^2)}

Recall that for |x|, we have

\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

If we replace x with -6x^2, we get

f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}

By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2

Solving for x gives the interval of convergence,

|x|^2

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.

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2 years ago
Solve for x: (1/2) + 4/(2x) = (x + 4)/10
Charra [1.4K]

Answer:

x  =  5 ,  − 4

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable  x .

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