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3 years ago

11

Mollie had a 15–ounce cappuccino at her neighborhood coffee shop. The cappuccino had 170 calories. If Mollie walks for one hour,

she burns 246 calories. For how many minutes must Mollie walk to burn off the calories in the cappuccino? (Round your answer to the nearest minute.)

1 answer:

ZanzabumX [31]3 years ago

4 0

Answer:

noicr

Step-by-step explanation:

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Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4

Kay [80]

Answer:

<h2>c. x = -4 or x = 9</h2>

Step-by-step explanation:

$\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}$

Domain:

$x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3$

solution:

$\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}$

use <em>(a - b)(a + b) = a² - b²</em>

$\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}$

multiply both sides by (x - 3) ≠ 0

$\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}$

cancel (x - 3)

$\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3$

subtract $\frac{4(x-3)}{x}$ from both sides

$\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}$

cross multiply

$(4)(x)=(x+3)(-x+12)$

use FOIL

$4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36$

subtract 4x from both sides

$0=-x^2+12x-3x+36-4x$

combine like terms

$0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36$

change the signs

$x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0$

The product is 0 if one of the factors is 0. Therefore:

$x-9=0\ \vee\ x+4=0$

$x-9=0$ <em>add 9 to both sides</em>

$x=9\in D$

$x+4=0$ <em>subtract 4 from both sides</em>

$x=-4\in D$

7 0

3 years ago

Nick cut a 25 cm long ribbon into some smaller pieces. Each piece was 1 2/3 cm long. How many pieces did he cut?

AlexFokin [52]

Answer:

15 cm

Step-by-step explanation:

25÷1 2/3= 15 cm

Sorry if I'm wrong

7 0

2 years ago

Read 2 more answers

Use the drop-down menus to complete the statements to match the information shown by the graph

Tresset [83]

Answer:what are answer choices

Step-by-step explanation:

4 0

2 years ago

Help ASAP please ! Explain too if you can

horrorfan [7]

Answer:

B

Step-by-step explanation:

180-118=42 so angle c=42

add 42 +76 =138

in a triangle all degrees ad up to 180 so

subtract 138 from 180=42

3 0

2 years ago

Read 2 more answers

In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the re

Ronch [10]

Answer:

REQUIRED TEST STATICS IS 35.19

Step-by-step explanation:

total size of sample = 10,000

men women

voted 2777 3466

did not vote 1444 2313

By chi square test we can find the relationship between gender and participation in the election

<em> $X^2 = \frac{ N(ad-bc)^2}{(a+c)(b+d)+(a+b)(c+d)}$ </em>

where

a represent = 2777, b = 3466, c= 1444, d = 2313, N = 10000

Putting values to get chis square statics

<em> $X^2 = \frac{ 10000(2777*2313-3466*1444)^2}{(2777+1444)(3466+2313)+(2777+3466)(1444+2313)}$ </em>

<em> $X^2 = = 35.159$ </em>

HENCE REQUIRED TEST STATICS IS 35.19

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3 years ago