Tomas = t
Grandfather = 10t
10t=100
<u>10t</u> = <u>100
</u>10 10
<u>
</u>t=10
<u>
</u>Tomas is 10 years old.<u>
</u>
The discriminant is the part under the sqrt in the quadratic formula
for ax²+bx+c, the discriminant is b²-4ac
if the discriminant is
less than 0, then there are non-real roots
equal to 0, then there is a double root
greater than 0, then there are 2 real roots (may be rational or irrational)
so
1x²-5x+7
b²-4ac=(-5)²-4(1)(7)=25-28=-3
less than 0 so it is non real roots
answer is D
Answer: -6
Step-by-step explanation:
9% = .09
.09-6.375 = −6.285
6.285 = 6.285/1 = 62.85/10 = 628.5/100 = 6285/1000
GCF = 5, 1257/200 = 6
-6
-6.285 = -6
The answer is
a) x=2.5
b) x=-3
The vendor sold 124 sodas and 90 hot dogs.
Step-by-step explanation:
Let,
x be the number of sodas.
y be the number of hot dogs.
Total sold = 214
According to given statement;
x+y=214 Eqn 1
y= x-34 Eqn 2
Putting value of Eqn 2 in Eqn 1;

Dividing both sides by 2;

Putting x=124 in Eqn 2;

The vendor sold 124 sodas and 90 hot dogs.
Keywords: linear equations, substitution method
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