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3 years ago

For student spent $12 on school lunch at this rate find the amount 10 students would spend on the same school lunch?

Mathematics

2 answers:

Diano4ka-milaya [45]3 years ago

8 0

I think $120
because 12*10=120

ASHA 777 [7]3 years ago

6 0

12 / 4 = 3
3 * 10 = 30

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Paul has 144 army man and his toy box into six equal groups for battle how many army men are in each group

iogann1982 [59]

I'm pretty sure this one is super easy
you just take 144 and divide it by 6 which would look like
144/6 then the answer is 24

5 0

3 years ago

Read 2 more answers

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

3 years ago

And a wildlife preserve 46 ducks are captured tagged and then released. Later to her ducks are examined in four of the 200 ducks

docker41 [41]

Answer:

2300

Step-by-step explanation:

We are given that

Out of 200 , four ducks are tagged.

We have to find the number of ducks in the preserve if 46 ducks are tagged.

Let x be the number of ducks in the preserve.

If number of tagged ducks increases then number of preserved ducks also increases.It is in direct proportion.

According to question

$\frac{x}{46}=\frac{200}{4}$

$x=\frac{200\times 46}{4}$

$x=50\times 46$

x=2300

4 0

3 years ago

Whoever answers gets brainlist!

Musya8 [376]

Answer:

21 over 6 (21/6)

26 over 6 (26/6) =47 over 6 (47/6)

your final answer is 7 5/6

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through the given points. (-1,5) and (2, - 7)

Vanyuwa [196]

Answer:

The equation of the straight line is 4x +y = 1

Step-by-step explanation:

Step(i):-

Given points are (-1,5) and ( 2,-7)

Slope of the line

$m =\frac{y_{2}-y_{1} }{x_{2} -x_{1} } =\frac{-7-5}{2-(-1)} = \frac{-12}{3} = -4$

slope of the line m = -4

Step(ii):-

The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4

$y - y_{1} = m( x-x_{1} )$

y - 5 = -4 ( x-(-1))

y -5 = -4 x -4

4 x + y -5 +4=0

4x +y -1 =0

Final answer:-

The equation of the straight line is 4x +y = 1

6 0

2 years ago