There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?

Brenda observes that the keyboard and the screen of an open laptop lie on two different planes. In how many lines do the planes

Lerok [7]

Let's assume the laptop is opened at 90 degrees (this is done for the sake of simplicity, is actually irrelevant) then each plane would be analogous to the 'x' and 'y' planes you see in a Cartesian Plane, which only intersect at one point called the Origin. Any two lines with different slopes will intersect only one time (if they're parallel they have the same slope)

6 0

3 years ago

A client is withdrawing $105.83. He would like $40 in $10 bills and the rest in the fewest number of bills and coins possible. S

Gennadij [26K]

Answer:

Step-by-step explanation:

The client starts with 105.83 dollars

He requests 40 of which to be subtracted in denominations of 10, meaning 4 10 dollar bills are being removed.

After this he has 65.83 more dollars to withdraw, the next biggest bill denomination is a 50, so lets subtract 50 from our account.

Now he is left with 15.83, subtract another 10 dollar bill.

That leaves us with 5.83, subtract one 5 dollar bill.

Leaving us with 0.83, subtract 3 quarters

That leaves us with 8 cents, lets subtract one nickel, leaving us with 3 cents.

Now with those 3 cents we can subtract 3 pennies.

Meaning the least amount of denominations required is:

1 50-Dollar bill

5 10-Dollar bills

1 5-Dollar bill

3 Quarters

1 Nickel

3 Pennies

6 0

2 years ago

Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made

Ganezh [65]

Answer:

11hrs babysitting

Step-by-step explanation:

4 0

3 years ago

Which equation represents the function graphed on the coordinate plane?????

Y_Kistochka [10]

Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given.

The parent modulus function is:

g(x) = |x|

It is centered at the origin and opens upwards.

A coefficient inside the modulus |x+k| means that the function is shifted along the x-axis

If "k" is positive, the shift will be to the left. If "k" is negative, the shift will be to the right.

A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis

If "h" is positive, the shift will be upwards. If "h" is negative, the shift will be downwards.

Now, let's check each of the options:

g(x) = |x+4| - 2 :

This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.

g(x) = |x-4| - 2 :

This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.

g(x) = |x-2| - 4 :

This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment.

g(x) = |x-2| + 4 :

This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.

All 4 graphs are shown in the attached picture.

Hope this helps :)

3 0

3 years ago

Read 2 more answers

The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 90

Rina8888 [55]

Answer:

lower limit : 36.44

upper limit : 39.56

Step-by-step explanation:

Given :

s = 9

n = 90

x = 38.9

Alpha, α = 0.10

∴ $z_{\alpha/2}=z_{0.05} = 1.645$

The confidence interval is :

$=x \pm\left(z_{\alpha /2} \times \frac{s}{\sqrt{n}}\right)$

$=38.9 \pm\left(1.645 \times \frac{9}{\sqrt{90}}\right)$

$=38.9 \pm 1.56$

$=(36.44, 39.56)$

Therefore,

lower limit : 36.44

upper limit : 39.56

3 0

3 years ago