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olchik [2.2K]
3 years ago
7

Which first step for solving the given system using substitution results in an equation without fractions?

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0
The correct answer is solve for y in the second equation.

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
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A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 21 ​pennies, 26 ​dimes, and 15 quarters. The rest of the
pshichka [43]

Answer:

14

Step-by-step explanation:

21+26+15=62 72-62=14 :)

8 0
2 years ago
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The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati
Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 263, \sigma = 14

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

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

0.675 = \frac{X - 263}{14}

X - 263 = 14*0.675

X = 272.45

His jump was of 272.45 inches

7 0
3 years ago
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Sam's age is 125% of mary's age. mary's age is p% of sam's age. what is the value of p?
ddd [48]
Let Sam be (S+8) years while his sister is S years.

S(S+8) = 105

S^2+8S-105 = 0

(S+15)(S-7) = 0

Sam’s sister is 7 years and Sam is 15 years old.
7 0
2 years ago
if the cost of 3 chocolates and 2 cookies is $22 and that of 2 chocolates and 3 cookies is $18, what is the cost of cookies.​
Vanyuwa [196]

Answer:$2

Step-by-step explanation:Express as two equations . Lex x Be chocolate and y be cookies.

3x+2y=22

2x+3y= 18

Common factor of 6 so times first ran by 2, second ran by 3 . Eliminate.

4 0
2 years ago
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How do I simplify the expression -(-7y+12)
ivann1987 [24]
The answer is -12y i think in my opinion
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3 years ago
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