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Morgarella [4.7K]

3 years ago

8

I have $24 to buy bagels. How does the number of bagels I can buy depend on the price of the bagel? Write the formula for the fu

nction. If the number of bagels in N and the price of the bagel is P, the formula for the function is N=_____

1 answer:

natima [27]3 years ago

5 0

Answer:

N= 24/P

Step-by-step explanation:

the number of bagel is equal to ti 24 divided by the number of price if bagels

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Ahmad lost 50 dollars from his pocket.<br><br>Write a signed number to represent this change.

IRINA_888 [86]

Answer:

-50

Step-by-step explanation:

it could be X-50=?

8 0

3 years ago

Factorise x^2/4-y^2/4

Nuetrik [128]

Answer:

$\large\boxed{\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}}$

Step-by-step explanation:

$\dfrac{x^2}{4}-\dfrac{y^2}{4}=\dfrac{x^2}{2^2}-\dfrac{y^2}{2^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x}{2}\right)^2-\left(\dfrac{y}{2}\right)^2\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}$

3 0

3 years ago

The First Chicago Bank is reviewing its service charges and interest-paying policies on checking accounts. The daily balance of

mrs_skeptik [129]

Answer:

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

The minimum daily balance on which it should be willing to pay interest is $1,198.

Step-by-step explanation:

We have a normal distribution with mean = $800 and standard deviation = $150.

a) We can calculate this value with the standard normal distribution, calculating the z-value for $700 and $1,000.

$z_1=\frac{x-\mu}{\sigma} =\frac{700-800}{150}= \frac{-100}{150} =-0.67\\\\\\z_2=\frac{1,000-800}{150}=\frac{200}{150}=1.33\\\\\\P(700$

The percentage of the bank's customers carry daily balances between $700 and $1,000 is 65.7%.

b) We must calculate from what amount only 6% of the accounts remain.

This is done by solving:

$P(z>x)=0.06$

This happens for a z-value of z=2.652.

This corresponds to a amount of $1,198.

$x=\mu+z*\sigma=800+2.652*150=800+398=1,198$

The minimum daily balance on which it should be willing to pay interest is $1,198.

8 0

3 years ago

A line has a rise of 6 and a slope of 1/20 . What is the run?

Lerok [7]

Answer:

120

Step-by-step explanation:

$\text{ Slope }=\frac{\text{ Rise }}{\text{ Run }}$ .

Plug in the information given:

$\frac{1}{20}=\frac{6}{\text{ Run }}$ .

Now we want to solve this equation for Run.

If you don't like Run as a variable, let's just use x in it's place:

$\frac{1}{20}=\frac{6}{x}$

Cross multiply:

$1(x)=20(6)$

Simplify both sides:

$x=120$

The run is 120.

Let's check our work.

$\text{ Slope }=\frac{\text{ Rise }}{\text{ Run }}$ .

So if our rise is 6 and our run is 120.

Does 6/120 reduce to 1/20?

6 and 120 do have a common factor of 6.

So if you divide top and bottom of 6/120 by 6 you do get 1/20.

8 0

3 years ago

Read 2 more answers

Graph the linear equation and answer each of the following questions. y>2/3 x-2 What is the y-intercept? What is the slope (i

lozanna [386]

Answer:

(i)

y-intercept is -2

(ii)

slope is $\frac{2}{3}$

(iii)

slope is positive

(iv)

another point is (3,0)

Step-by-step explanation:

We are given equation as

$y=\frac{2}{3} x-2$

now, we can compare it with slope intercept form of line

y=mx+b

where

m is slope

b is y-intercept

we get

$m=\frac{2}{3}$

$b=-2$

So,

(i)

y-intercept is -2

(ii)

slope is $\frac{2}{3}$

(iii)

we can see that

$m=\frac{2}{3}$

is a fraction and positive

so, slope is positive

(iv)

we can select any random value of x and find y

that will give us second point

Let's assume

x=3

$y=\frac{2}{3}\times 3-2$

$y=2-2$

$y=0$

So, another point is (3,0)

(v)

Graph:

4 0

3 years ago