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3 years ago

12

Manny and Emma are both competing in a long jump competition at their school. Manny can jump four fifths of the distance that Em

ma can jump. Manny
can jump 40 inches. How far can Emma jump?

1 answer:

adell [148]3 years ago

5 0

Answer:

50inches

Step-by-step explanation:

Let x be the height Emma can jump

(4/5)×x=40

x=(5/4)×40

x=50

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How many years will it take $39,450 to double at an interest rate of 3.2%, continuously compounded? *

taurus [48]

Years = natural log (total / principal) / rate
Years = ln (78,900 / 39,450) / .032
Years = ln (2) / .032
Years = 0.69314718056 / .032
Years = <span> <span> <span> 21.6608493925 </span> </span> </span>
And here's a calculator to check that answer:
http://www.1728.org/compint.htm

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3 years ago

Solve x2 + 4x – 4 = 0

Damm [24]

Answer:

Quadratic Equations! Yes!

Step-by-step explanation:

Now, there are three methods to solving this:

1.Quadratic Formula

2.Factoring

3. Completing the square

Now, Based on the answers, I think it would be better if we used Quadratic Formula, as you cannot get the answer easily with factoring, and I'm a bit rusty on completing the square.

So, Quadratic Formula! To solve it using this method, we have to find x using this: $x=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$ (the +- before the square root means it could be both positive or negative)

Where a, b are coefficients and c is a term(in a quadratic equation form: $ax^{2} +bx+c=0$ )

So, we just have to input the stuff from our equation into the formula!

$x=\frac{-4+-\sqrt{32} }{2}$

Now, we can simplify the square root of 32 into 4 times the square root of 2

$x=\frac{-4+-4\sqrt{2} }{2}$

And, we can divide 2 from it all!

$x=-2+-2\sqrt{2}$

So, there you have it! The Answer is C, or 3.

Hope this helps!

4 0

3 years ago

Please help me i need help i'll help you if you help me !<br>i will mark you as brill

MatroZZZ [7]

Answer:

See Explanation

Step-by-step explanation:

Required

Write three equivalent ratios

<em>To solve these questions, we do the following:</em>

<em>Whatever is being applied to a part of the ratio must be done on the other part</em>

<em></em>

Solving (9):

$Ratio = \frac{2}{7}$

Multiply through by 2

$Ratio = \frac{2*2}{7*2} = \frac{4}{14}$

Multiply through by 3

$Ratio = \frac{2*3}{7*3} = \frac{6}{21}$

Multiply through by 5

$Ratio = \frac{2*5}{7*5} = \frac{10}{35}$

<em>Hence, the equivalents are: </em> $\frac{4}{14}, \frac{6}{21}, \frac{10}{35}$ <em></em>

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

$Ratio = 1.5 * 2\ to\ 3.5 * 2$

$Ratio = 3\ to\ 7$

Multiply by 3

$Ratio = 1.5 * 3\ to\ 3.5 * 3$

$Ratio = 4.5\ to\ 10.5$

Multiply by 4

$Ratio = 1.5 * 4\ to\ 3.5 * 4$

$Ratio = 6\ to\ 14$

<em>Hence, the equivalents are: </em><em>3 to 7, 4.5 to 10.5 and 6 to 14</em>

Solving (11):

Ratio = 6.25 to 1.25

Divide by 5

$Ratio = 6.25/5\ to\ 1.25/5$

$Ratio = 1.25\ to\ 0.25$

Multiply by 2

$Ratio = 6.25*2\ to\ 1.25*2$

$Ratio = 12.5\ to\ 2.5$

Multiply by 4

$Ratio = 6.25*4\ to\ 1.25*4$

$Ratio = 25\ to\ 5$

<em>Hence, the equivalents are: </em><em>1.25 to 0.25, 12.5 to 2.5 and 25 to 5</em>

Solving (12):

$Ratio = 3 : 3\frac{1}{2}$

Multiply by 2

$Ratio = 3 *2: 3\frac{1}{2}*2$

$Ratio = 6: 7$

Multiply by 4

$Ratio = 3 *4: 3\frac{1}{2}*4$

$Ratio = 12: 14$

Multiply by 6

$Ratio = 3 *6: 3\frac{1}{2}*6$

$Ratio = 18: 21$

<em>Hence, the equivalents are: 6:7, 12:14 and 18:21</em>

Solving (13)

$Ratio = 1\frac{2}{3} : \frac{5}{4}$

Convert mixed fraction to improper fraction

$Ratio = \frac{5}{3} : \frac{5}{4}$

Multiply by 2

$Ratio = \frac{5}{3}*2 : \frac{5}{4}*2$

$Ratio = \frac{10}{3} : \frac{5}{2}$

Multiply by 3

$Ratio = \frac{5}{3}*3 : \frac{5}{4}*3$

$Ratio = 5 : \frac{15}{4}$

Multiply by 12

$Ratio = \frac{5}{3}*12 : \frac{5}{4}*12$

$Ratio = 20 : 15$

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

5 0

3 years ago

If there is 60 runners and they each get 8 oz of water how many pounds of water do they get total

irina1246 [14]

If you multiple the numbers together...you will get the answer....480 pounds of water in total

7 0

3 years ago

396 divided by 11. Step by step explanation

noname [10]

Answer: 36

Step-by-step explanation: using long division you take 11 divide into 398 so first, 11 goes into 39, 3 times

you have 6 left, so keep the 6 and drop down the other 6

next 11 goes into 66, 6 times making it 396/11= 36

hope this helps

6 0

3 years ago

Read 2 more answers