1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kipish [7]
3 years ago
11

given the equations 9x + (3)/(4)y + 6 and 2x + (1)/(2)y=9 by what factor would you multiply the sencond equation to eliminate y

and solve the system through linear combinations
Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

  -3/2

Step-by-step explanation:

If the first equation is 9x +3/4y = 6, then the solution would look like this:

  \left(9x+\dfrac{3}{4}y\right)-\dfrac{3}{2}\left(2x+\dfrac{1}{2}y\right)=(6)-\dfrac{3}{2}(9)\\\\6x=-\dfrac{15}{2}\\\\x=-\dfrac{15}{12}=-\dfrac{5}{4}\\\\2\left(-\dfrac{5}{4}\right)+\dfrac{1}{2}y=9\ \longrightarrow\ y=2\left(9+\dfrac{5}{2}\right)=23

An appropriate multiplier is -3/2.

You might be interested in
A recipe requires 1/3 cup of milk for each 1/4 cup of water.How many cups of water are needed for each cup of milk?
d1i1m1o1n [39]
3/4
Work
1/4+1/4+1/4=3/4
1/3+1/3+1/3=3/3=1
7 0
3 years ago
Birth weights at a local hospital have a Normal distribution with a mean of 110 oz and a standard deviation of 15 oz. The propor
OLga [1]

Answer:

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 110, \sigma = 0.15

The proportion of infants with birth weights between 125 oz and 140 oz is

This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So

X = 140

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

Z = \frac{140 - 110}{15}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 125

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

Z = \frac{125 - 110}{15}

Z = 1

Z = 1 has a pvalue of 0.8413

0.9772 - 0.8413 = 0.1359

The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.

4 0
3 years ago
What is the equation of the circle with a radius of 7 and center at (6, -5)?
koban [17]

Answer:

D is the equation of the circle

3 0
2 years ago
the age of three brothers are consecutive even integers. three times the age of the youngest brother exceeds the oldest brother'
kiruha [24]
16
x * 3 = 48
so divide 48 by 3 
which is 16 so x = 16
3 0
3 years ago
Is 2 a prime or composite number?
defon
2 is a prime number. hope this hepls

5 0
3 years ago
Read 2 more answers
Other questions:
  • I have two
    12·1 answer
  • The expression 7z-9p+9z-z
    9·1 answer
  • Which equation represents the relationship between x and y in the table below?
    9·1 answer
  • The first histogram shows the average life expectancies for women in different countries in Africa in 1998; the second histogram
    13·1 answer
  • Simplify to find the anwser?
    7·2 answers
  • Need help pls and thank you​
    15·1 answer
  • HELLLPPPPPPP
    13·1 answer
  • Can I get some help here.
    9·1 answer
  • HELP PLEASE!!!!!!!!!!!!!!
    10·1 answer
  • Which number line could help you find the distance between (7,4) and (3,4)?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!