All categories

1 year ago

Amy paid $58.87 for a pair of running shoes during a 40%-off sale. What was the regular price?

Mathematics

1 answer:

Scorpion4ik [409]1 year ago

8 0

Answer:

Answer: 98.12

Step-by-step explanation:

= 58.87 / 1 - 0.40

= 58.87 / 0.6

= 98.12

You might be interested in

For the following questions find the other half of the fraction.

valentina_108 [34]

Answer:

1) 3/5= 6/10

2) 3/6= 6/12

3) 4/10= 2/5

4) 3/4= 6/8

5) 5/10 = 1/2

6) 4/6= 8/12

7) 5/5= 10/10

8) 1/2= 6/12

4 0

2 years ago

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

aliya0001 [1]

Answer:

$f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}$

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

$f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...$

We first compute the n-th derivative of $f(x)=\ln(1+2x)$ , note that

$f^{\prime}(x)= 2 \cdot (1+2x)^{-1}\\f^{\prime \prime}(x)= 2^2\cdot (-1) \cdot (1+2x)^{-2}\\f^{\prime \prime}(x)= 2^3\cdot (-1)^2\cdot 2 \cdot (1+2x)^{-3}\\...\\\\f^{n}(x)= 2^n\cdot (-1)^{(n-1)}\cdot (n-1)! \cdot (1+2x)^{-n}\\$

Now, if we compute the n-th derivative at 0 we get

$f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!$

and so the Maclaurin series for f(x)=ln(1+2x) is given by

$f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2 \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}$

3 0

3 years ago

Help please I'll mark brainiest xx

marysya [2.9K]

Answer:

238 miles

Step-by-step explanation:

340 miles = 5 hours

So get 1 hour by dividing by 5 on both sides

5/5 = 1 hr

340/5 = 68

So in 1 hour they travel 68 miles

You want to find 3 1/2 hours

Do 68 x 3 to get 3 hours

So it would be 68 x 3 =204

Plus the half an hour - which you get by doing 68/2 = 34

68 = 1 hour, so half of that must be half an hour

So to get the final distance you do 204 (3 hours) +34 (half an hour)

204 + 34 =238

3 0

2 years ago

8. Solve using any method. 3y – 3 = 3x -3x + 3y = -57

Ksivusya [100]

Answer:

No Solutions.

Step-by-step explanation:

I will solve your system by substitution.

3y−3=3x; −3x+3y=−57

Step: Solve 3y−3=3x for y:

3y−3+3=3x+3 (Add 3 to both sides)

3y=3x+3

(3y/3=3x+3)/3

(Divide both sides by 3)

y=x+1

Step: Substitute x+1 for y in −3x+3y=−57:

−3x+3y=−57

−3x+3(x+1)=−57

3=−57 (Simplify both sides of the equation)

3+(−3)=−57+(−3) (Add -3 to both sides)

0=−60

5 0

2 years ago

-3(x + 5) + 8 = 2(x + 4) - 6

Elodia [21]

-3x+(-15)+8=2x+8-6
45x+8=2x+2
not equal

6 0

3 years ago

Read 2 more answers