Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula 
. Upon using our given information we will get two equation and two unknowns as:
Upon substituting 
in 1st equation we will get,
Upon multiplying both sides of our equation by 5 we will get,
Upon substituting y=170 in 2nd equation we will get,
Therefore, Charlene's speed is 34 miles per hour.
Answer:
$12.85
Step-by-step explanation:
First we need to find the sale price of the CD
Sale price = old price - old price * discount rate
= 17 - 17* .3
= 17 - 5.1
= 11.9
The sale price of the CD is 11.90
Now we need to find the tax
tax = sale price of cd * tax rate
= 11.9 * .08
= .95
The final cost of the CD is sale price of CD plus the tax
Total cost = sale price of CD + tax
= 11.90 + .95
=12.85
Answer:
Vamos a resolver la ecuación paso a paso.
32x+4=642x−1
Step-by-step explanation:
Resolver el exponente.
32x+4=642x−1
log(32x+4)=log(642x−1)(Sacar el logaritmo de ambos lados.)
(x+4)*(log(32))=(2x−1)*(log(64))
x+4=(
log(64)
log(32)
)*(2x−1)
x+4=1.2*(2x−1)
x+4=2.4x−1.2(Simplificar ambos lados de la ecuación)
x+4−2.4x=2.4x−1.2−2.4x(Restar 2.4x a ambos lados)
−1.4x+4=−1.2
−1.4x+4−4=−1.2−4(Restar 4 a ambos lados)
−1.4x=−5.2
−1.4x
−1.4
=
−5.2
−1.4
(Dividir ambos lados por -1.4)
x=3.714286
Solución:
x=3.714286
3.14=7x-2y
move 7x to the other side
sign changes from +7x to -7x
3.14-7x=7x-7x-2y
3.14-7x=-2y
Divide both sides by -2
3.14/-2-7x/-2=-2y/-2
3.14/-2=-1.57
-7x/-2=7x/2
Answer:
y=-1.57+7x/2
