firat we need to get two equation with two varibles let us work on x,y
so adding the first and last one will yield
now we since we used the first and third we need to use the second to get a correct system.let us multiply the third by 2 then add the second and third
now we have two equation with the variables x and y
you can solve it algebraically but you can see that the only solution possible is y=0 and x=-1 we have the values for x and y let us choose one of the three main equation and substitute to get z let us pick the first equation 5x-2y+z=-1-->5(-1)-2(0)+z=-1---->-5+z=-1-------->z=4
to make sure the system works let us check by substituting into the three equations
the first one will be 5x-2y+z=-1--->5(-1)-2(0)+4=-1---->-5+4=-1--->-1=-1 first equation holds
the second equation 3x+y+2z=6---->2(-1)+0+2(4)=6--->-2+8=-6--->-6=-6 second equation holds
the third equation x-3y-z=-5----->-1-3(0)-4=-5---->-1-4=-5--->-5=-5
our third equation also holds which makes our solution correct
x=-1,y=0,z=4
Answer:
272, remainder 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
beacuse there are 13 pizzas left and they need 2 more
plz dont get mad if i get it wrong
SOLUTION:
Let's first establish the problem we will solve.
= 4 ÷ 1 / 6
Now we will turn this from division into multiplication by changing the division symbol ( ÷ ) into a multiplication symbol ( × ) and doing the reciprocal of the fraction after the symbol. Reciprocal basically means to make the numerator the denominator and make the denominator the numerator in the fraction.
= 4 × 6
Now we will simply write the product of the two numbers to achieve our final answer.
= 24
Hope this helps! :)
Have a lovely day! <3
Answer:
Arectangle=27.68cm (approximately)
Step-by-step explanation:
<em>in order to find the area of the rectangle first you need to find the measure of the length and width.</em>
since both of them aren't given ,use trigonometry to find the value of the length and width.
sin30°=opposite/hypotenuse
sin30°=opposite/8cm
opposite=sin30°*8cm. >sin30°=0.5
opposite=4cm
cos30°=adjacent/hypotenuse
cos30°=adjacent/8cm
adjacent=cos30°*8cm. cos30°=0.866
adjacent=6.92cm (approximate value)
Arectangle= bh
Arectangle=4cm*6.92cn
Arectangle=27.68cm
