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Alja [10]
3 years ago
14

A business shows a profit of $110 for selling 20 leather wallets. How much profit would the business make if they sold 35 wallet

s?
Mathematics
1 answer:
NeX [460]3 years ago
4 0

Answer:

Sales of 35 leather wallets will give profit of $192.5

Step-by-step explanation:

If sales of 20 leather wallet gives $110

Sales of 35 leather wallet gives x

Cross multiply

20x = 110 x 35

20x = 3850

Divide both sides by 20

x = 3850/20

x = $192.5

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a teacher asked 3 pupils to choose any 2 digit number square it and then find the remainder after dividing the result by 7. Dori
gizmo_the_mogwai [7]
First write out all the two digit square numbers

4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81

Next divide all of them by 7

16/7 = 2 2/7 or 2 and 2 remainders
25/7 = 3 4/7 or 3 and 4 remainders
36/7 = 5 1/7 or 5 and 1 remainder 
49/7 = 7
64/7 = 9 1/7 or 9 and 1 remainder
81/7 = 11 4/7 or 11 and 4 remainders

This tells us that the only possible remainders for a two digit square number divided by 7 are 1, 2 and 4
If Doris got 6 and Horace got 3, they must have made a mistake.
4 0
3 years ago
For the differential equations dydx=sqrt(y^2−36) does the existence/uniqueness theorem guarantee that there is a solution to thi
julsineya [31]

Answer:

1. (-4,6) there is no a solution to the equation through this point

2. (2,−6) there is no a solution to the equation through this point

3. (−5,39) there is a solution to the equation through this point

4. (−1,45)  there is a solution to the equation through this point

Step-by-step explanation:

Using the existence and uniqueness theorem:

Let:

F(x,y)=\sqrt{y^2-36} \\\\and\\\\\frac{\partial F}{\partial y} =\frac{y}{\sqrt{y^2-36} }

Now, let's find the domain of F(x,y), due to the square root:

y^2-36 \geq 0\\\\y^2\geq 36\\\\y \geq 6\hspace{12}or\hspace{12}y\leq-6

So the domain of the function is:

y \in R\hspace{12}y\geq6\hspace{12}or\hspace{12}y\leq-6

Now, due to the fraction \frac{\partial F}{\partial y} the denominator must be also different from 0, so:

y^2-36\neq0\\\\y \neq \pm6

So, the theorem  tells us that for each y_0\in R:\hspace{12}y_0>6\hspace{12}or\hspace{12}y_0 there exists a  unique solution defined in an open interval around x_0.

1. (-4,6)  there is no a solution to the equation through this point because y_0=6

2. (2,−6)  there is no a solution to the equation through this point because

y_0=-6

3. (−5,39) there is a solution to the equation through this point because

y_0>6

4. (−1,45)  there is a solution to the equation through this point because

y_0>6

6 0
3 years ago
Kate wants to spend less than $100 per day to rent a car. A car rents for $45 per day plus $0.25 per mile. Write, solve, and gra
Bezzdna [24]
Money to be spent per day <$100
To rent a car:
Minimum amount per day= $45
Amount per mile= $0.25

Hence amount spent depends on distance travelled.
If distance travelled= x; fee for travel= 0.25x

Hence finally we need the fare to be less than $100
And fare is $45+0.25x

So the final inequality is 0.25x+45<100.

Hope it helps.
8 0
3 years ago
What would you do to solve for x in 7 - 3x = 34 ???
AveGali [126]
I would first subtract 7 from 34 then divide by negative 3 and get -9
6 0
3 years ago
A deck of 26 cards has one letter of the alphabet on each card what is the prabablility if drawing one of the letters in the wor
Tamiku [17]
4 out of 26 or 2 out of 13 
6 0
3 years ago
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