All categories

3 years ago

Expand the following: 3/8(16x-24)

Mathematics

2 answers:

Ainat [17]3 years ago

4 0

= $\frac{3}{8}(16x-24)$
=3(2x-3)
=6x-9

sertanlavr [38]3 years ago

3 0

Answer: The required expanded form is 6x-9.

Step-by-step explanation: We are given to expand the following expression :

$E=\dfrac{3}{8}(16x-24)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that, for any real numbers a, b and c, we have

$a(b+c)=ab+ac.$

So, from expression (i), we get

$E\\\\\\=\dfrac{3}{8}(16x-24)\\\\\\=\dfrac{3}{8}\times16x-\dfrac{3}{8}\times24\\\\=6x-9.$

Thus, the required expanded form is 6x-9.

You might be interested in

If you multiply me by 7 add 1 and then divide by 4 you get 9 what number am I?

labwork [276]

Put the number as x and translate the English into math;
(7x+1)/4=9
Then solve for x
8x+1=36
8x=35
x=4.375 or 4 3/8
Hope this helps.

3 0

3 years ago

Read 2 more answers

Jina is saving money to buy a bike. She has $63 and is going to save an additional $9 each week. The bike costs $198. In how man

Cerrena [4.2K]

Answer:

Jina will have enough money to buy the bike in 15 weeks

Step-by-step explanation:

y = mx + b

198 = 9x + 63

Subtract 63 from both sides;

135 = 9x

Divide both sides by 9;

x = 15

3 0

3 years ago

What is the GCF of 24 and 20

mestny [16]

Hey there!

Let's find out!

$20$ : 1,2,4,5,10,20

$24$
1,2,3,4,6,8,12,24

$answer$
: 4

5 0

3 years ago

Read 2 more answers

Find the derivative of y with respect to the appropriate variable<br> y=cos^-1(x^2)

Ksju [112]

Answer:

a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.

Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :

b. This is just a matter of plugging

Step-by-step explanation:

like if this was helpful

3 0

2 years ago

A jar contains 8 red marbles numbered 1 to 8 and 7 blue marbles numbered 1 to 7. A marble is drawn at random from the jar. Find

Shkiper50 [21]

Answer:

Therefore the probability that the marble is blue or even numbered is $\frac{11}{15}$

Step-by-step explanation:

Probability: The ratio of favorable outcomes to the total outcomes.

It is denoted by P.

$Probability= \frac{\textrm{favorable outcomes}}{\textrm{Total outcomes}}$

Given that a jar contains 8 red marbles and 7 blue marbles.

Total number of marbles = (8+7) = 15

Let A = Event of getting a blue marble

B= Event of getting of even marble.

Even number blue marbles are 2, 4,6

Even number red marbles are 2, 4,6,8

The number of even marbles are =(3+4)=7

The probability of getting a blue marble is P(A)

$=\frac{\textrm{Total number of blue marbles}}{\textrm{Total number of blue marbles}}$

$=\frac{7}{15}$

The probability of getting a even marble is P(B)

$=\frac{\textrm{The number of even number marbles}}{\textrm{Total number of marbles}}$

$=\frac{7}{15}$

The probability of getting a even numbered blue marble P(A∩B)

$=\frac{3}{16}$

P(blue marble or even- numbered)

=P(A∪B)

=P(A)+P(B)-P(A∩B)

$=\frac{7}{15} +\frac{7}{15}-\frac{3}{15}$

$=\frac{11}{15}$

Therefore the probability that the marble is blue or even numbered is $\frac{11}{15}$

3 0

3 years ago