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3 years ago

What do you get when you simplify 12/8

Mathematics

1 answer:

Sav [38]3 years ago

5 0

Answer:

3/2

Step-by-step explanation:

You can divide both 12 and 8 by four. Dividing 12 by four gives you 3 and dividing 8 by 4 gives you 2. This makes the simplified fraction 3/2

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Two consecutive integers whose product is 56

Iteru [2.4K]

≡ We know that:
⇔ Consider the first integer is $a$
⇔ So, the next integer is $(a+1)$

≡ Solution:
⇒ $(a).(a+1)=56$
⇒ $a^{2}+a=56$
⇒ $a^{2}+a-56=0$
⇒ $(a+8)(a-7)=0$
⇒ $a_{1}=-8$ ║ $a_{2}=7$

⇔ For $a=-8$
⇒ the next integer is $(a+1)=-8+1=-7$

⇔ For $a=7$
⇒ the next integer is $(a+1)=(7+1)=8$

∴ So, there are 2 options [ $\boxed{-8}$ and $\boxed{-7}$ ] or [ $\boxed{7}$ and $\boxed{8}$ ]

7 0

3 years ago

Read 2 more answers

The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number

Ymorist [56]

Given :

The cost of 5 pounds of boudin is $26.

To Find :

The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .

Solution :

Price per boudin in terms of x and y is :

$P=\dfrac{y}{x}$

Price per boudin by given data :

$P=\dfrac{26}{5}$

So,

$\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x$

Therefore, the constant of proportionality is $\dfrac{26}{5}$ .

Hence, this is the required solution.

6 0

3 years ago

A bag contains one green marble, two yellow marbles, four blue marbles and five red marbles. How many blue marbles would you nee

zvonat [6]

Answer:

You would have to add 4 blue marbles

Step-by-step explanation:

there are a total of 12 marbles, 4 of them being blue.

If you add 4 blue ones, there would be a total of 16 marbles and 8 of them would be blue.

8/16 = 1/2

Therefore, 4 blue marbles need to be added for the chance to draw one to be 1/2 or 50%

8 0

3 years ago

Read 2 more answers

Company A charges a base rate of $5 per month, plus 4 cents per minute that you are on the phone. Company B charges a base rate

Afina-wow [57]

...........................

4 0

4 years ago

A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previou

valkas [14]

Answer:

$t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771$

The degrees of freedom are given by:

$df=n-1=48-1=47$

And the p value would be:

$p_v =P(t_{(47)}$

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Step-by-step explanation:

Information given

$\bar X=1.8$ represent the sample mean for the growth

$s=0.5$ represent the sample standard deviation

$n=48$ sample size

$\mu_o =2$ represent the value that we want to compare

$\alpha=0.01$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 2cm per week, the system of hypothesis are :

Null hypothesis: $\mu \geq 2$

Alternative hypothesis: $\mu < 2$

Since we don't know the population deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771$

The degrees of freedom are given by:

$df=n-1=48-1=47$

And the p value would be:

$p_v =P(t_{(47)}$

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

6 0

4 years ago