Answer:
Ava is 26 and Grace age is 9
Step-by-step explanation:
x=ava's age
y=grace's age
3y-1=x
x+y=35
Substitute 3y-1 to x+y=35 for the value of x to find grace age
3y-1+y=35
4y-1=35
+1 +1
4y=36
y=9 now substitute 9, the y value in 3y-1=x to find ava's age
3(9)-1=x
x=26
to verify; 26+9=35
true 35=35
Answer:
pick the answer that explains the graph
Step-by-step explanation:
hope this helps a bit??
If the proportion of iris to roses in Nikki's garden is 2: 5, it means that for 25 roses: (2/5) = (10/25). Therefore to maintain the proportion by adding 20 roses: (2/5) = (18/45). The number of irises after the addition of roses will be 10 + 18 = 28 irises.
Answer:
pick the value that when you solve it, you get the correct answer
Step-by-step explanation:
Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
