Answer:
<h2>
</h2>
Step-by-step explanation:
Solve the equation for y by moving 'x' to R.H.S and changing its sign
Substitute the given value of y into the equation 5x + y = 28
Solve the equation for x
Collect like terms
Move constant to R.H.S and change its sign
Subtract the numbers
Divide both sides of the equation by 4
Calculate
Reduce the numbers with 2
Now, substitute the given value of x into the equation y = 2 - x
Solve the equation for y
The possible solution of the system is the ordered pair ( x , y )
<h2>
</h2>
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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
Simplify the equalities
Since , all of the equalities are true, the ordered pair is the solution of the system.
Hope this helps....
Best regards!!
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.
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)
remember to use SOH CAH TOA. THE SOLUTION THAT I GOT CAME OUT AS 15/8
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° = 
. 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:
Using a calculator, the answer would be:
Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.
