Answer:
N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28
Step-by-step explanation:
Using variables N=natalies age and F=Freds age
N+F=42 ----> N=42-F (take this and plug it into the other equation)
F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]
-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]
So N+28=42 or N=14.
The total number of sugar will be 9/4.
<h3>What is the unitary method?</h3>
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A Baker Had 1/3 Cups Of Sugar.
he Added 1/9 Cups To It
Let the number of sugar be x
x (1/3) + 1/9x = 1
3x + 1x = 9
4x = 9
x = 9/4
Hence, the total number of sugar will be 9/4.
Learn more about the unitary method;
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Answer:
A) she needs to earn $120 for her mouth piece
B) it will taker kaser 8 weeks to get enough money for the mouthpiece
Step-by-step explanation:
whats a segment tool? no idea but i can help solve this so you can attempt that part
explaining
so kaser needs $155, she already has $35 and gains $15 a week. i will be assisting you with how to solve for how much she has when she starts saving and how long until she saves it all
process A
155-35 = 120
answer A
she needs to earn $120 for her mouth piece
process B
120 divided by 15 = 8
answer B
it will taker kaser 8 weeks to get enough money for the mouthpiece
C
6*3=18
6*8= 48 and 3*8=24
24*48= 1152
1152/18=64
Answer:
0.347% of the total tires will be rejected as underweight.
Step-by-step explanation:
For a standard normal distribution, (with mean 0 and standard deviation 1), the lower and upper quartiles are located at -0.67448 and +0.67448 respectively. Thus the interquartile range (IQR) is 1.34896.
And the manager decides to reject a tire as underweight if it falls more than 1.5 interquartile ranges below the lower quartile of the specified shipment of tires.
1.5 of the Interquartile range = 1.5 × 1.34896 = 2.02344
1.5 of the interquartile range below the lower quartile = (lower quartile) - (1.5 of Interquartile range) = -0.67448 - 2.02344 = -2.69792
The proportion of tires that will fall 1.5 of the interquartile range below the lower quartile = P(x < -2.69792) ≈ P(x < -2.70)
Using data from the normal distribution table
P(x < -2.70) = 0.00347 = 0.347% of the total tires will be rejected as underweight
Hope this Helps!!!
