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3 years ago

2:3 = 6:? 4:7 = x:42 2x:48= 3:12 12:15= x:20

Mathematics

1 answer:

Blizzard [7]3 years ago

7 0

Answer:

1)9

2)24

3)6

4)17

Just look at the two numbers you know and see how to get from one to the other.

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5^(-x)+7=2x+4 This was on plato

Setler79 [48]

Answer:

Below

I hope its not too complicated

$x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}$

Step-by-step explanation:

$5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}$

$Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}$

$\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x$

$\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}$

3 0

3 years ago

What is the solution to 3/(2x+1) = 9/3x?

Scorpion4ik [409]

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

7 0

3 years ago

Write a system of equations to describe the situation below, solve using elimination or substitution.

tangare [24]

X= mountain dew y= coke

-(5x+5y=1160)
8x+5y=1523

-5x-5y=-1160
+
8x+5y=1523

3x=363
3 3

x=121 g of sugar in Mt. Dew

8x+5y=1523 plug in 3 in x

24+5y-24= 1523-24

5y= 1499
5 5

y= 299.8 grams of sugar in coke

4 0

4 years ago

Fill in the blank: _ _ _ _ _ _ × _ _= 11111111

galina1969 [7]

5555555.5 × 2 = 11111111
Hope it helps!

5 0

3 years ago

6. A publisher requires 2⁄3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the near

earnstyle [38]

We have (2/3)÷5 = 2/15 advertisments for 1 page;

Then, we have 98 · (2/15) = 12.2(6) advertisments for 98 pages;

The nearest whole page is 12.

7 0

3 years ago