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3 years ago

What is 9 1/2 plus 2/3

Mathematics

2 answers:

Vinvika [58]3 years ago

4 0

10.1666666667
Hope it helps

Lena [83]3 years ago

4 0

I think it’s 10.1666666667

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After the booster club sold 40 hotdogs at a football game, it had 90$ in profit. After the next game, it had sold a total of 80

sergiy2304 [10]

Let's first establish what we already know for this problem.

x = total number of hotdogs sold
y = total profit from total sales of hotdogs

Let's also establish the other equations which we will require in order to solve this problem.

Equation No. 1 -
Profit for 40 hotdogs = $90 profit

Equation No. 2 -
Profit for 80 hotdogs = $210 profit

STEP-BY-STEP SOLUTION

From this, we can use the formula y = mx + b & substitute the values for x & y from one of the two previous equations into the formula in order to obtain the values of m & b for the final equation. Here is an example of the working out as displayed below:

Firstly, using the first or second equation, we make either m or b the subject. Here I have used the first equation and made m the subject:

Equation No. 1 -
y = mx + b
90 = m ( 40 ) + b
40m = 90 - b
m = ( 90 - b ) / 40

Now, make b the subject in the second equation as displayed below:

Equation No. 2 -
y = mx + b
210 = m ( 80 ) + b
210 = 80m + b
b = 210 - 80m

Then, substitute m from the first equation into the second equation.

Equation No. 2 -
b = 210 - 80m
b = 210 - 80 [ ( 90 - b ) / 40 ]
b = 210 - [ 80 ( 90 - b ) / 40 ]
b = 210 - 2 ( 90 - b )
b = 210 - 180 - 2b
b - 2b = 30
- b = 30
b = - 30

Now, substitute b from the second equation into the first equation.

Equation No. 1 -
m = ( 90 - b ) / 40
m = ( 90 - ( - 30 ) / 40
m = ( 90 + 30 ) / 40
m = 120 / 40
m = 3

Through this, we have established that:

m = 3
b = - 30

Therefore, the final equation to model the final profit, y, based on the number of hotdogs sold, x, is as follows:

y = mx + b
y = ( 3 )x + ( - 30 )

ANSWER:
y = 3x - 30

3 0

2 years ago

The pH of 0.0001 M solution of Ca(OH)2 is

12345 [234]

Step-by-step explanation:

Since Ca(OH)2 is Basic, we need to find pOH:

pOH = - log [OH-]

pOH = - log(0.0001)

pOH = - ( - 4)

pOH = 4

Since, pH + pOH = 14

Therefore,

pH of 0.0001M sol. of Ca(OH)2 = 10

5 0

3 years ago

Write the set of points from −2 to 6 but excluding 3 and 6 as a union of intervals:

KengaRu [80]

Answer:

[-2,6] - {3} - {6} = [-2,3) ∪ (3,6)

Step-by-step explanation:

Union Of Intervals

Let us assume two interval A = (a,b) and C = (c,d).

Their union is written as : A ∪ C = (a,b) ∪ (c,d)

Now, if interval is written in form [a,b] ⇒ a and b are INCLUDED in interval

Also, if interval is written in form (a,b) ⇒ a and b are NOT INCLUDED in interval

Here, the given interval is [-2,6]

excluding 3 and 6 from this will give:

[-2,3) ∪ (3,6)

The first set is [-2.3) where -2 is INCLUDED but 3 is NOT INCLUDED.

The second set is (3,6) where 3 and 6 both are NOT INCLUDED.

Hence, [-2,6] - {3} - {6} = [-2,3) ∪ (3,6)

6 0

3 years ago

Can someone help me

frozen [14]

Answer: A/D

Step-by-step explanation:

3 0

3 years ago

What is the range of 98, 13,41,62 and 8

jonny [76]

The range of it is 90 subtract the greatest # from the least 90-8

4 0

2 years ago