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3 years ago

What is 1 and 1/6 minus 7/12 ?

1 answer:

7 0

$1 \frac{1}{6} - \frac{7}{12} \\ 
 \\ 1 \frac{1}{6}= \frac{1x6+1}{6}= \frac{7}{6} \\ 
 \\ \frac{7x2}{6x2}= \frac{14}{12} \\ 
 \\ \frac{7x1}{12x1}= \frac{7}{12} \\ 
 \\ \frac{14}{12} - \frac{7}{12}= \frac{7}{12} \\ 
 \\ Solution: \frac{7}{12} 
$

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If f =28 when a = 7 find f when a is 10 (direct proportion)

QveST [7]

Answer:

f=40

Step-by-step explanation:

f=28, a=7

$f \infty a \\ f = ka \\28 = k(7) \\ 28 = 7k \\ \frac{28}{7} = \frac{7k}{7} \\ 4 = k \\ k = 4 \\ f = 4a \\ a = 10 \\ f = 4(10) \\ f = 40$

Hope that this is helpful.

Have a nice day.

6 0

3 years ago

Read 2 more answers

Solving Quadratic equations by factoring 2x^2-20x+42

elixir [45]

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

x = 7,3

8 0

3 years ago

One number added to three times another number is 24. Five times the first number added to three times the other number is 36. F

Lera25 [3.4K]

Okay, so the equations would be:
x + 3y = 24
3y + 5x = 36

Imma use Substitution to solve this:
x = -3y + 24

3y + 5(-3y + 24) = 36
3y - 15y + 120 = 36
-12y + 120 = 36
-12y = -84
y = 7

x = -3(7) + 24
x = -21 + 24
x = 3

So the first number (x) would be 3 and the second number (y) would be 7.

5 0

3 years ago

Pl help it’s for a grade

agasfer [191]

The answer is definitely c

6 0

3 years ago

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1

crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is $r=10\%$

Future value is given by $s=1000e^{0.1t}$

For the investment to double itself, i.e. $s=2000$

$\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}$

It takes around 6.93 years to double the investment.

8 0

2 years ago