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ValentinkaMS [17]

3 years ago

10

Marie’s account balance is -$45.55. Which balence represents the greater number

1 answer:

Marat540 [252]3 years ago

8 0

$45.55 is the answer I believe

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Multiply. <br> (−23) (16) <br> Enter your answer as a fraction, in simplified form, in the box.

kkurt [141]

Step-by-step explanation:

(-2/3 )x (1/6)

Cross Multiply:

$\frac{2}{3} . \frac{1}{6} \\$ .... so the 2 and 6 would become 1 and 3

$\frac{1}{3} .\frac{1}{3}$ ..... Like that

$\frac{1}{9}$ ..... (3x3=9)

-1/9 .... Answer

Hope this helps!!

8 0

3 years ago

Read 2 more answers

A satellite television company charges a one-time installation fee and a monthly service charge. The total cost is modeled by th

Marat540 [252]

<span>(2) y is the total cost, x is the number of months of service, $40 is the installation fee, and $90 is the service charge per month.</span>
y = 40 + 90x

y = total cost
x = number of months of service
40 = one time installation fee
90 = monthly service charge.

Let us assume that the number of months of service is 10 months. then, the total cost would be:

y = 40 + 90(10)
y = 40 + 900
y = 940

5 0

3 years ago

5.15 divided by 0.24= I need an explanation

abruzzese [7]

Answer:

Step-by-step explanat

5.15=515/100

0.24=24/100

515/24=21.45

4 0

3 years ago

The exact value of cos5pi/12 is:

jonny [76]

Step 1: Convert $\frac{5\pi }{12}$ , which is in radians into degrees. To convert it multiply by $\frac{180}{\pi }$

$\frac{5\pi }{12} =\frac{180}{\pi }$

900/12

75

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = $\frac{\sqrt{2} }{2}$

cos30 = $\frac{\sqrt{3} }{2}$

Step 3: Add the cos45 and cos30 to get cos5pi/12

$\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}$

Hope this helped!

4 0

3 years ago

The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease

Arturiano [62]

Answer:

If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

Given:

Area of Rectangular field = 1440 sq. m

Perimeter = 152 m.

We need to find which one needs to be decreased by what percentage to make it a square.

Solution:

Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

framing in equation form we get;

$l\times w = 1440 \ \ \ \ equation\ 1$

Also we know that Perimeter of rectangular field is given by 2 times sum of Length and width.

framing in equation form we get;

$2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2$

Now Substituting equation 2 in equation 1 we get;

$l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0$

Now we will find the root by factorizing the same we get;

$w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\$

Now solving for each to find the value of 'w' we get;

$w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40$

So We can say that;

Width = 36 m and Length = 40 m

Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.

We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

framing in equation form we get;

percentage decreased = $\frac{4}{40}\times 100 = 10\%$

Hence If Length is decreased by 10% then it would become a square.

6 0

3 years ago