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Allushta [10]
3 years ago
7

Which value of x satisfies both 3x + y = 9 and 3x − 5y = 15?

Mathematics
2 answers:
irga5000 [103]3 years ago
8 0
*Hint: In order to find the value of x you could solve this equation by the elimination method and eliminate y.

(3x + y = 9)5
3x - 5y = 15

15x + 5y = 45
3x - 5y = 15

18x = 60
x = 10/3

The answer would be A.
Lunna [17]3 years ago
5 0
The answer to the question is A.
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nalin [4]

Answer:

Domain={ 5,7,0,}

Rang=={-9,7,1,9}

7 0
3 years ago
Distribute the problem <br> 2(3-8y)
77julia77 [94]

Answer:

<h3>6-16y</h3>

Step-by-step explanation:

Hello!

apply distributive law

a(b - c) = ab - ac

2(3-8y)=2.3-2.8y

  • 2.3=6
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=6-16y

Hope it helps!

6 0
2 years ago
The spiders and ants in Aunt Mellys attic have a total of 152 legs and 22 heads. Spiders have 8 legs and ants have 6 legs. How m
Scorpion4ik [409]

Answer:

10 spiders and 12 ants

Step-by-step explanation:

You need to create two equations

s = # of spiders

a = # of ants

s + a = 22 heads

since each spider and ant has one head

8s + 6a = 152 legs

since every spider has 8 legs and every ant has 6

s + a = 22 can be turned into s = 22 - a

now use substitution

8(22 - a) + 6a = 152

176 - 8a + 6a = 152

176 - 2a = 152

24 = 2a

a = 12

now that you have the number of ants you can solve for the number of spiders

s + a = 22

s + 12 = 22

s = 10

6 0
2 years ago
The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month. How many members wi
vladimir1956 [14]
Population are always modeled by exponential growth equation given by:
f(x)=a(1+b)^t
where:
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3 0
3 years ago
Read 2 more answers
For a data set of the pulse rates for a sample of adult? females, the lowest pulse rate is 39 beats per? minute, the mean of the
Zarrin [17]

Answer:

a) The difference is of 35 beats per minute.

b) So 3.07 standard deviations below the mean.

c) Z = -3.07.

Step-by-step explanation:

Z-score:

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.

In this question:

Mean \mu = 74, standard deviation \sigma = 11.4

a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the? females?

39 - 74 = -35

The difference is of 35 beats per minute.

b. How many standard deviations is that? [the difference found in part? (a)?

|Z| when X = 39. So

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

Z = \frac{39 - 74}{11.4}

Z = -3.07

|Z| = 3.07

So 3.07 standard deviations below the mean.

c. Convert the pulse rate of 39 beats per minutes to a z score.

From item b. above, Z = -3.07.

5 0
3 years ago
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