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lakkis [162]
3 years ago
11

Simplify. 1/4(x-2/5)-1/3(3/4x-1/2)

Mathematics
2 answers:
Schach [20]3 years ago
7 0

Answer:

Exact Form:

1/15

Decimal Form:

0.0¯6

Step-by-step explanation:

ludmilkaskok [199]3 years ago
3 0

Answer: 1/15 or 0.06 (repeating)

Step-by-step explanation:

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A teacher used the change of base formula to determine whether the equation below is correct. (log2 10)(log4 8)(log10 4)=3
Misha Larkins [42]

Answer:

The equation is correct

Step-by-step explanation:

(log2 10)(log4 8)(log10 4)=3

Change of base formula

logb (x) = log10 (x)/ log10 (b)


Lets change all non base 10 logs to base 10 logs

(log2 10) = log10 (10)/ log10 (2)  

We know that log10 (10 ) = 1  so

(log2 10) = 1/ log10 (2)

(log4 8)  = log10 (8)/ log10 (4)

Now we can rewrite the original equation in all base 10

(log2 10)(log4 8)(log10 4)=3

1/ log10 (2) *  log10 (8)/ log10 (4) *  (log10 4)=3

I can cancel the log10 (4)/ log10 (4)

1/ log10 (2) *  log10 (8)=3

log10 (8)/ log10 (2)

We know that 8 = 2^3

log10 (2^3)/ log10 (2) =3

Remember  log a^b  = b * log a

3 * log10 (2) / log10 (2) =3

We can cancel log 10 (2)/ log10 (2)

3=3


The equation is correct


7 0
3 years ago
Read 2 more answers
Joseph is weaving a ceremonial Native American sash the sauce will be 8 feet long when it is completed Joseph wants to add a dia
Rama09 [41]

Answer:  The sash will have 20 diamonds when it is completed.


Step-by-step explanation:

Given: The length of American sash= 8 feet

Since, Joseph wants to add a diamond shape every 0.4 ft along the sash.

Therefore, the number of diamonds he will need to complete the sash= \frac{8}{0.4}

⇒ The number of diamonds he will need to complete the sash= \frac{80}{4}=20

Hence,  the number of diamonds he will need to complete the sash= 20


3 0
3 years ago
Using elimination to solve each system of equation.
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

5 0
3 years ago
three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks wer
kati45 [8]

Answer:

600

Step-by-step explanation:

Let's consider this question using algebra.

Imagine the number of bricks in the original pile is x.

We are told that \frac{3}{4} of the bricks are used for a project, meaning that \frac{3}{4} x has been used, leaving us with \frac{1}{4}x as our remainder.

Then, we are told that \frac{2}{3} of the remainder are used to leave us with 50 bricks. This means that \frac{1}{3} of the remainder is left, and this is equal to 50 bricks. This means that the remainder's original amount is equal to 150, because we are told that \frac{1}{3} of the remainder is equal to 50.

So, we know that the remainder is 150, and we also know that the remainder is \frac{1}{4} x. Let's now use these to form an equation.

\frac{1}{4} x = 150

Because we know that a quarter of the original amount of bricks is equal to 150, we can multiply both sides of the equation by 4 to get the original amount of bricks in the pile.

x = 150 * 4 = 600

So, there were 600 bricks in the original pile.

8 0
2 years ago
One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many
Vlad [161]

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

8 0
3 years ago
Read 2 more answers
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