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2 years ago

Evaluate the expression

Mathematics

1 answer:

Softa [21]2 years ago

3 0

Answer:

900

Step-by-step explanation:

You would substitute n for 3 so it would be 60x3=180 then multiply that by 2 = 360. Then take the 180 and multiply that by -3 to get -540. Finally do 360 - (-540) into a calculator to get 900.

Hope this helps

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You might be interested in

Does this graph represent a function? Why or why not?

malfutka [58]

Answer:

Yes.

Step-by-step explanation:

It is a function because it passes the vertical line test. Each x-value has just one y-value. If the relation had any x-values that had several y-values, it would just be a relation. But this one is a function.

Hope this helps!

6 0

2 years ago

Write a polynomial expression, in simplified form, that represents the AREA of the blanket and use the expression to evaluate th

pochemuha

Answer:

Polynomial expression that represents the area of blanket:

$A(x)=(6x^2+5x-21)cm^2$

If $x=2$ : $A(2)=13cm^2$

Step-by-step explanation:

The area of the rectangle can be calculated with the formula:

$A=lw$

Being l the lenght of the rectangle and w the width of the rectangle.

In this case, the lenght and the width are represented with:

$l=(3x+7)cm$

$w=(2x-3)cm$

Substitute them into $A=lw$ :

$A(x)=(3x+7)(2x-3)$

Then:

Use Distributive property (Remember the Product of powers property: $b^a*b^c=b^{(a+c)}$ ):

$A(x)=(3x+7)(2x-3)\\A(x)=6x^2-9x+14x-21$

Add like terms:

$A(x)=(6x^2+5x-21)cm^2$ (Simplied form)

Evaluate $x=2$ :

$A(2)=(6(2)^2+5(2)-21)cm^2\\A(2)=(6(4)+10-21)cm^2\\A(2)=(24-11)cm^2\\A(2)=13cm^2$

6 0

3 years ago

What is equivalent ratio of 5:8:4 and explain how u got it

igor_vitrenko [27]

this is example

So, first we need to write the given ratio as fraction,

= 8/18

= (8 × 2)/(18 × 2)

= 16/36

= 16 : 36 (one equivalent ratio),

So, 16 : 36 is an equivalent ratio of 8 : 18.

Now we will find another equivalent ratio of 8 : 18 by using division.

Similarly, first we need to write the given ratio as fraction,

= 8/18

= (8 ÷ 2)/(18 ÷ 2)

= 4/9

= 4 : 9 (another equivalent ratio)

So, 4 : 9 is an equivalent ratio of 8 : 18.

Therefore, the two equivalent ratios of 8 : 18 are 16 : 36 and 4 : 9.

2. Frame two equivalent ratios of 4 : 5.

Solution:

To find two equivalent ratios of 4 : 5 we need to apply multiplication method only to get the answer in integer form.

First we need to write the given ratio as fraction,

= 4/5

= (4 × 2)/(5 × 2)

= 8/10

= 8 : 10 is one equivalent ratio,

Similarly again, we need to write the given ratio 4 : 5 as fraction to get another equivalent ratio;

= 4/5

= (4 × 3)/(5 × 3)

= 12/15 is another equivalent ratio

Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Note: In this question we can’t apply division method to get the answer in integer form because the G.C.F. of 4 and 5 is 1. That means, 4 and 5 cannot be divisible by any other number except 1.

6 0

2 years ago

The owner of a computer repair shop has determined that their dailyrevenue has mean $7200 and standard deviation $1200. The dail

meriva

Answer:

The required probability is 0.0855

Step-by-step explanation:

Consider the provided information.

The daily revenue has mean $7200 and standard deviation $1200.

$\mu_{\bar x}=7200$

$\sigma=1200$

The daily revenue totals for the next 30 days will be monitored.

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

$\sigma_{\bar x}=\frac{1200}{\sqrt{30}}=219.089$

As we know $Z=\frac{\bar x-\mu_{\bar x}}{\sigma_{\bar x}}$

Substitute $\bar x=7500, \mu_{\bar x}=7200\ and\ \sigma_{\bar x}=219.089$ in above formula.

$Z=\frac{7500-7200}{219.089}=1.3693$

From the standard normal table P( Z >1.3693) = 0.0855

Hence, the required probability is 0.0855

7 0

2 years ago

Tonya has a 1-quart, a 2-quart, and a 3-quart bowl. A recipe asks for 16 ounces of milk. If Tonya is going to triple the recipe,

Shalnov [3]

The answer would be the three quart bowl.Since it is clearly stated at the problem that if she 'triples' the recipe.So meaning, she needs to multiply each by three.So 1 quart = 3 quarts2 quarts = 6 quarts3 quarts = 9 quarts
So the smallest now would be the three quarts bowl.

3 0

3 years ago