Answer:
x = 6
Step-by-step explanation:
EG = 59
EF = 8x - 14
FG = 4x + 1
to find the value of x
EF + FG = EG (same line)
8x - 14 + 4x + 1 = 59
12x -13 = 59
12x = 59 + 13
12x = 72
x = 72 ÷ 12
x = 6
You can even cross check for correct answer
EF + FG = EG
instead of x place the x's value we got
8x - 14 + 4x + 1 = 59
8 (6) - 14 + 4 (6) + 1 = 59
48 - 14 + 24 + 1 = 59
34 + 25 = 59
59 = 59
CROSS - CHECKED
Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
Answer: the required probability is 0.03516
Step-by-step explanation:
Given the data in the question;
let F represent dominant allele that causes fluffy fur and
f represent corresponding recessive allele that causes wiry fur
here are the possible genotypes and corresponding phenotypes;
FF = Fluffy fur
Ff = Fluffy fur
ff = Wiry fur
genotype of parents is Ff and Ff
and there cross will be; Ff x Ff
now Offspring will be;
F f
F FF Ff
f Ff ff
so the probability that the offspring will have fluffy fur = 3/4
and the probability that the offspring will have wiry fur = 1/4
The probability that the first 2 out of 4 offspring will have fluffy fur will be;
⇒ 3/4 × 3/4 × 1/4 × 1/4 = 0.03516
Therefore, the required probability is 0.03516
Comparing the cost of the car to the deposit, $3,168.00 the amount required to be added to the deposit
$3,168 is the interest
rate = 8%
time = T
principal = 6,600.00
I = ( PRT)/100
T = 100 I/PR
=(100*3168)/(6600*8)
= 6
She should leave the money for six years.
