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SpyIntel [72]
3 years ago
7

Explain why 2a+3b=5ab

Mathematics
2 answers:
Ahat [919]3 years ago
8 0

That's not correct. The terms 2a and 3b are not like terms, so we cannot combine them to get 5ab. We simply leave it as 2a+3b.

If you had 2a+3a, then it would simplify to 5a

Similarly, 2b+3b = 5b

Or you could have 2ab+3ab = 5ab

The key is that the variable portions must match up to be able to add them.

Degger [83]3 years ago
7 0
They can’t the variables have to be the same in order to add or subtract
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A lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the do
USPshnik [31]

Answer:

No, we don't have sufficient evidence to support the claim that the doors are either too long or too short.

Step-by-step explanation:

We are given that a lumber company is making doors that are 2058.0 millimeters tall. If the doors are too long they must be trimmed, and if the doors are too short they cannot be used.

A sample of 11 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 25.0.

Let \mu = <u><em>population mean length of doors</em></u>.

So, Null Hypothesis, H_0 : \mu = 2058.0 millimeters      {means that the mean length of doors is 2058.0 millimeters}

Alternate Hypothesis, H_A : \mu\neq 2058.0 millimeters     {means that the doors are either too long or too short}

The test statistics that will be used here is <u>One-sample t-test statistics</u> because we know about the population standard deviation;

                               T.S.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean = 2043.0 millimeters

             s = sample standard deviation = 25.0 millimeters

             n = sample of doors = 11

So, <u>the test statistics</u> =  \frac{2043.0-2058.0}{\frac{25.0}{\sqrt{11} } }

                                     =  -1.989  

The value of t-test statistics is -1.989.

Now, at a 5% level of significance, the t table gives a critical value between -2.228 and 2.228 at 10 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the mean length of doors is 2058.0 millimeters.

7 0
2 years ago
You are making a recipe that calls for cream of mushroom soup. There is a deal at the store, where you can buy 10 cans of soup f
Olenka [21]

Answer:

The cost of 6 cans of soup =   $7.8

Step-by-step explanation:

The cost of 10 cans of soup = $13

The number of cans needed for the soup = 6

Now, Cost of 1 can of soup =\frac{\textrm{Total cost of 10 cans of soup}}{\textrm{10}}

= $13 / 10 =$1.3

⇒The cost of 1 can of soup is $1.3

Now, The cost of 6 cans of soup  =  6 x   Cost of 1 can

⇒ 6 x $1.3 =  $7.8

Hence, the cost of 6 cans of soup =   $7.8

5 0
3 years ago
Five angles are set at a point. The measurement of each angle is one of five consecutive whole numbers. Set up and solve the equ
grandymaker [24]

Answer:

a

Step-by-step explanation:

5 0
3 years ago
Edgar collects sports T-shirt.He has 16 socoT-shirts and 24 rugby T- shirts. He has 12 hats. Haw many T -shirt does Edgar have i
Marianna [84]
Edgar has 40 shirts. The equation you could write is 24+16=40.  Hope this helps!!
7 0
3 years ago
A publisher requires 2⁄3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest
rjkz [21]

Let x be the number of pages of advertisements.

Write a proportion from the table:

\dfrac{2}{3} of a page of advertisment - 5 pages in a magazine

x pages of advertisment - 98 pages in a magazine,

then

\dfrac{\dfrac{2}{3}}{x}=\dfrac{5}{98}.

Find x:

x=\dfrac{\dfrac{2}{3}\cdot 98}{5}=\dfrac{196}{15}=13\dfrac{1}{13}.

Answer: 13 whole pages and \dfrac{1}{13} of 14th page are advertisments, so 14 pages contain advertisments.

3 0
3 years ago
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