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Troyanec [42]
2 years ago
5

(O_O)

Mathematics
2 answers:
Vika [28.1K]2 years ago
7 0

Answer:

35

Step-by-step explanation:

Papessa [141]2 years ago
4 0
Answer is 25 or 35 correct me if I’m wrong
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Simultaneous equations 5x+y=28 x+y=2
ludmilkaskok [199]

Answer:

<h2>( \frac{13}{2}  \:,  -  \frac{9}{2} )</h2>

Step-by-step explanation:

5x + y = 28

x + y = 8

Solve the equation for y by moving 'x' to R.H.S and changing its sign

5x + y = 28

y = 2 - x

Substitute the given value of y into the equation 5x + y = 28

5x + 2 - x = 28

Solve the equation for x

Collect like terms

4x + 2 = 28

Move constant to R.H.S and change its sign

4x = 28 - 2

Subtract the numbers

4x  = 26

Divide both sides of the equation by 4

\frac{4x}{4}  =  \frac{26}{4}

Calculate

x =  \frac{26}{4}

Reduce the numbers with 2

x =  \frac{13}{2}

Now, substitute the given value of x into the equation y = 2 - x

y = 2 -  \frac{13}{2}

Solve the equation for y

y =  -  \frac{9}{2}

The possible solution of the system is the ordered pair ( x , y )

<h2>(x \: y) = ( \frac{13}{2} , \:  -  \frac{9}{2} )</h2>

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

5 \times  \frac{13}{2}  -  \frac{9}{2}  = 28

\frac{13}{2}  -  \frac{9}{2}  = 2

Simplify the equalities

28 = 28

2 = 2

Since , all of the equalities are true, the ordered pair is the solution of the system.

(x  \:, y \: ) = ( \frac{13}{2}  \: , -  \frac{9}{2})

Hope this helps....

Best regards!!

5 0
3 years ago
Read 2 more answers
.Shanice and Micaela are selling cheesecakes for a school fundraiser. Customers can buy pecan
belka [17]

Answer:

Pecan cheesecake = $11

Strawberry cheesecake= $19

Step-by-step explanation:

To solve this, we will need to set up a system of equations:

Let's call "Pecan cheesecakes" 'x', and

"Strawberry cheesecakes" 'y'.

We can set up the equations once we have our variables:

276= 13x + 7y

295 = 13x +8y

We will need to subtract these equations from each other to get rid of the 'x' variable. This gives us:

295 = 13x+ 8y

        -

276 = 13x+ 7y

19 = y

Therefore, Strawberry cheesecakes cost $19. Plug this into an equation to get the value of 'x':

276= 13x + 7(19)

276 = 13x + 133

143 = 13x

x= $11.

Therefore, Pecan cheesecakes cost $11.

8 0
3 years ago
A certain tennis player makes a successful first serve 70% of the time. Assume that each serve is independent of the others. If
EleoNora [17]

this is a binomial problem: p = 0.7 and q = 0.3

a) (0.7)^6

b) (6C4)(0.7)^4(0.3)^2

c) Pr ( at least 4) = Pr(4) + Pr(5) + Pr(6) = (6C5)(0.7)^5(0.3) + (0.7)^6

d) Pr (no more than 4) = 1 - Pr(at least 4) = 1 - (answer from c)

6 0
3 years ago
Find the value of each trigonometric ratio!! Pls hurry!!!
Citrus2011 [14]

remember to use SOH CAH TOA. THE SOLUTION THAT I GOT CAME OUT AS 15/8

7 0
2 years ago
Solve for x to the nearest degree (34.3 = 34)
Hoochie [10]

Answer:

48°

Step-by-step explanation:

We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.

This means the tangent of x° =  \frac{10}{9}. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:

x = arctan (\frac{10}{9})

Using a calculator, the answer would be:

x = 48.0128

Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.

3 0
3 years ago
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