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elena-s [515]
3 years ago
10

John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be twice Mary'

s current age. Find their ages now. If x is Mary's age now and y is John's age now, which system of equations could not be used to solve the problem?
1. y = x + 5 and y + 10 = 2x
2. y = x + 5 and 2(y + 10)-(x + 10) = 35
3. y = x + 5 and 2(y + 10) = x
Mathematics
2 answers:
Serjik [45]3 years ago
6 0
J=m+5, 2(j+10)-(m+10)=35 

So number 2. is the correct answer...

Use the value of j=m+5 in the second equation to get:

2(m+5+10)-m-10=35

2m+30-m-10=35

m+20=35

m=15, and j=m+5=20

So Mary is currently 15 years old and John is 20 years old.


Nana76 [90]3 years ago
4 0

Answer:

Option 2 is correct that could be used to solve the problem.

Step-by-step explanation:

Present age of Mary is x

And present age of John is y  

Since, john is 5 years older than Mary hence, we get

y=x+5

In 10 years twice john's age is decreased by Mary's age by 35

2(y+10)-(x+10)=35

hence, Option 2 is correct which could be use to solve the problem.

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4 0
3 years ago
The price of a watch was increased by 20% to £144. What was the price before the increase?
hammer [34]

Answer:

120 pounds

Step-by-step explanation:

Since the new cost is 144 pounds and this is 20% more,  this is 120% of the original price. Remember 100+20 = 120. To find the original price set up a proportion with these values:

\frac{144}{x}=\frac{120}{100}

Solve for the original price by cross multiplying numerator with denominator.

x(120) = 144(100)

120x = 14400

x= 120 pounds


6 0
3 years ago
Which expression is equivalent to
givi [52]

Answer:

\boxed{D. 9x + 36}

Step-by-step explanation:

<em>Hey there!</em>

<u><em>Given info</em></u>

9(x + 4)

<u><em>Solve!</em></u>

9*x = <u>9x</u>

9*4 = <u>36</u>

<u><em>Answer</em></u>

<u>9x + 36</u>

D. 9x + 36

<em>Hope this helps :)</em>

6 0
3 years ago
Read 2 more answers
Suppose the weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams. The weights
user100 [1]

Answer:

a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b) The weight that 80% of the apples exceed is of 78.28g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.

This means that \mu = 85, \sigma = 8

a. Find the probability a randomly chosen apple exceeds 100 g in weight.

This is 1 subtracted by the p-value of Z when X = 100. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{100 - 85}{8}

Z = 1.875

Z = 1.875 has a p-value of 0.9697

1 - 0.9696 = 0.0304

0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b. What weight do 80% of the apples exceed?

This is the 100 - 80 = 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.

Z = \frac{X - \mu}{\sigma}

-0.84 = \frac{X- 85}{8}

X - 85 = -0.84*8

X = 78.28

The weight that 80% of the apples exceed is of 78.28g.

5 0
2 years ago
Which of the following is a polynomial A.x^2+2 B.(x^8-2)/(x^-2+3) C. 7x^7-2x^-4+3 D.x^x-1
EastWind [94]
<span> A. x²+2   - a  polynomial
B.(x⁸-2)/(x⁻²+3)  rational function
C. 7x⁷-2x⁻⁴+3 (It has negative value of exponent, so it cannot be a polynomial.)
D.x^x-1 (x is an exponent it cannot be a polynomial)</span>
6 0
3 years ago
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