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Answer:
0.225 L of milk, would be
required if she uses 450 m L of water.
Step-by-step explanation:
Here, to make the shake, ingredients used by Dina are:
40 m L of chocolate syrup,
200 m L of milk, and 400 m L of water.
So, here Amount of water used = 2 x ( Amount of Milk used) ....... (1)
Now,again the amount of water used by Dona = 450 m L
Let us assume the milk used by her = k m L
⇒ 450 m L = 2 x ( k m L) ( from (1))
or, 450 = 2 k
⇒ k = 450/2 = 225
⇒ k = 225 m L
Also, 1 m L = 0.001 L
So, 225 m L = 225 x 0.001 = 0.225 L
⇒ k = 0.225 L
Hence, 0.225 L of milk, would be
required if she uses 450 m L of water.
The number 5760 because when divided by 12 you get an answer of 480 and with 24 it is 240 and with 30 is 192.
C. 16.4
Step-by-step explanation:
The formula to apply here is;
A=P(1+r/n) ^nt where
A=final amount
P=starting amount
r=rate of interest annually
n=number of compounding per year
t=time in years
Given ; P=$500, A=$750 , r=2.5%=0.025 , t=?,n=1
Substitute values;
A=P(1+r/n)^nt
$750=$500(1+0.025)^t
750=500(1.025)^t
750/500=(1.025)^t
1.5=(1.025)^t
log 1.5 =t log (1.025)
log 1.5/log 1.025 = t
16.4 =t
Learn More
Compound interest formula :brainly.com/question/12148233
Keywords : bank account, interest per year, value of account, years
#LearnwithBrainly
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30

x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66