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koban [17]
3 years ago
7

Solve the following system of equations. 18x+6y=3018x+6y=30 18x+22y=1418x+22y=14

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

  • (2, -1)

Step-by-step explanation:

<u>Given system</u>

  • 18x+6y=30  
  • 18x+22y=14

<u>Solve by elimination, subtract the equations and solve for y:</u>

  • 18x + 6y - 18x - 22y = 30 - 14
  • -16y = 16
  • y = -1

<u>Find x by substituting y:</u>

  • 18x + 6(-1) = 30
  • 18x - 6 = 30
  • 18x = 36
  • x = 36/18
  • x = 2

<u>The answer is</u>: (2, -1)

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A package of 4 pairs of insulated gloves costs ​$33.16. What is the unit price of the pairs of gloves​?
juin [17]

Answer:

$8.29

Step-by-step explanation:

Divide 4 by 33.16.

5 0
3 years ago
Another one that is even more confusing because it is a fraction.
kogti [31]

Answer:

2/16

Step-by-step explanation:

i just doubled he equation

7 0
3 years ago
A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu
iVinArrow [24]

Answer:

-0.061 < P_1 -P_2< 0.025

Step-by-step explanation:

Give data:

n_1 = 350

n_2 =250

x_1 = 23

x_2 = 21

\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066

\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084

for 95% confidence interval

\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025

z_{\alpha/2} = 1.96  from standard z- table

confidence interval for P_1  and P_2 is

\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}

(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}

-0.018 \pm 0.043

confidence interval is

-0.018 - 0.043 < P_1 -P_2

-0.061 < P_1 -P_2< 0.025

7 0
3 years ago
Can someone plz help me with Algebra 2....... :) Will give Brainliest!!
Anarel [89]
Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;
log((x+6)*(x-6))=2
so you can simply say that;
log_{8}((x+6)( x-6))=2
and by multiplying (x+6)*(x-6)
log_{8}(x^2-36)=2
and as you know also that;
a^{b}=c is same as log _{a}c=b
so you can simply state it as;
8^2=x^2-36&#10;64=x^2-36&#10;64+36=x^2&#10;x^2=100&#10;x=10
And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!
6 0
3 years ago
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
stiks02 [169]

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

3 0
3 years ago
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