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max2010maxim [7]
3 years ago
11

Examine this system of equations. What integer should the first equation be multiplied by so that when the two equations are add

ed together, the x term is eliminated?
1/18x + 4/5y = 10
-5/6x - 3/4y = 3
Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Hey there!

To find this, we should figure out what 1/18 can be multiplied by to get 5/6, because when we end up adding them together after multiplying, 5/6x - 5/6x eliminates x.

One thing that would make this easier is to make 1/18 and 5/6 have the same denominator.

6 goes into 18 3 times, so what we could do is multiply both the numerator and denominator of 5/6 by 3.

That gives us 15/18.

Now that we have the denominators the same, we can see that 1/18 goes into 15/18 15 times by comparing the numerators.

This means the first equation should be multiplied by 15.

Hope this helps!

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AlekseyPX
The solution is (-2,4) she right both have the same solution because if you solve both of them you will get (-2,4)
5 0
3 years ago
An equilateral triangle has a perimeter of 15x +3. what is the length of each side of the triangle?
xxTIMURxx [149]
The length of each side is 5x + 1
3 0
4 years ago
Weather affects flights across the nation, causing delays, cancellations, and general disruption to the NAS. You have gathered a
hammer [34]

Answer:

a.) one sample t test

b.) H0 : μ = 59.3

c.) H1 : μ > 59.3

d.) μ = 59.3 ; σ = 39.84

e.) xbar = 79.4 ; s = 61.36

Test statistic = 3.16

Step-by-step explanation:

Given the sample data:

49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00

Sample size, n = 30

Using calculator :

xbar from the data above = 79.4

Standard deviation = 61.359

H0 : μ = 59.3

H1 : μ > 59.3

Test statistic :

(Xbar - μ) ÷ (σ/sqrt(n)

σ = 34.83

(79.4 - 59.3) ÷ (34.83/sqrt(30))

20.1 ÷ 6.359

Test statistic = 3.16

4 0
3 years ago
The following data show the weight, in ounces, of 10 different bags of candy:
LuckyWell [14K]
B) is correct; on average, each bag of candy has a weight that is 2.6 oz different than the mean weight of 5 oz.

To find the mean absolute deviation, we first find the mean.  Find the sum of the data points and divide by the number of data points (without the outlier, 21, in it):
(10+3+7+3+4+6+10+1+2+4)/10 = 50/10 = 5

Now we find the difference between each data point and the mean, take its absolute value, and find their sum:
|10-5|+|3-5|+|7-5|+|3-5|+|4-5|+|6-5|+|10-5|+|1-5|+|2-5|+|4-5| =
5+2+2+2+1+1+5+4+3+1 = 26

We now divide this by the number of data points:
26/10 = 2.6

This is a measure of how much each bag of candy varies from the mean.
4 0
3 years ago
Read 2 more answers
INTELLIGENT STUDENT IN TRIG?.Ill give brainlest​
faltersainse [42]

Answers:

x = 6

y = 6*sqrt(2)

=======================

Explanation:

To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios

tan(45) = 1

tan(angle) = opposite/adjacent

tan(45) = x/6

1 = x/6

6*1 = x

x = 6

-------

sin(45) = 1/sqrt(2)

sin(angle) = opposite/hypotenuse

sin(45) = 6/y

1/sqrt(2) = 6/y

1*y = sqrt(2)*6

y = 6*sqrt(2)

8 0
3 years ago
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