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2 years ago

Think of a number, double the number,

Mathematics

1 answer:

Rashid [163]2 years ago

5 0

Answer:

Let x be the number

double x = 2 x

square the result (2x)^2

(2x)^2 - x subtract the original number

4 x^2 - x = 33

4 x^2 - x - 33 = 0

Solve the quadratic

(1 +- (1 + 4 * 132)^1/2) / 8

= (1 + 528^1/2) / 8 = (1 + 23) / 8 = 3 using the positive exponent

Check:

(2 * 3)^2 - 3 = 36 - 3 = 33

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A scale on a map shows that 2 inches = 25 miles

ycow [4]

4.4 inches because once you add 2 and 2 you 50 then add ten and you get 60

4 0

3 years ago

Melanie swarm for 142 minutes during her first week of vacation. In her two weeks of vacation she swam for a total of 347 minute

Soloha48 [4]

Answer: Melanie swam 63 minutes more in second week.

Step-by-step explanation:

Given , Time taken by Melanie in first week to swim = 142 minutes

Combined time taken by her in first two weeks in swimming = 347 minutes

Now , time taken by her in second week = (Combined time of first two week) - (Time taken in first week)

= 347-142 minutes

= 205 minutes

Clearly , 205 > 142 i.e. She swam more in second week than first week./

Difference i= 205-142 = 63

Therefore, Melanie swam 63 minutes more in second week.

3 0

3 years ago

I have school in 2 hours and i really need help

erik [133]

Answer:

$\sqrt[3]{8 + 6} = \sqrt[3]{14} \\ = 2.41$

I hope I helped you^_^

3 0

3 years ago

Find the volume of the sphere.

Volgvan

Step-by-step explanation:

v=4/3*π*r^3

v=4/3*22/7*(1/2)^3

v=4/3*22/7*1/8

v=11/21

v=0.52 units^3

4 0

2 years ago

Find the slope of the lines. Are the 2 lines parallel or perpendicular? Explain how you can use the slope of two lines to tell i

rewona [7]

Answer:

slope = $\frac{3}{7}$ and - $\frac{7}{3}$ , perpendicular

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = $\frac{3}{7}$ x + 11 is in this form with m = $\frac{3}{7}$

Rearrange 7x + 3y = 13 into this form

subtract 7x from both sides

3y = - 7x + 13 ( divide all terms by 3 )

y = - $\frac{7}{3}$ x + $\frac{13}{3}$ ← in slope- intercept form

with m = - $\frac{7}{3}$

• Parallel lines have equal slopes

• The product of perpendicular slopes = - 1

The lines are not parallel since slopes are not equal

$\frac{3}{7}$ × - $\frac{7}{3}$ = - 1

Hence lines are perpendicular

6 0

3 years ago