Solve the following system of equations using the elimination method. 6x – 5y = –1 –6x – 4y = 10
Answers
Answer:
x= -1 y= -1
Step-by-step explanation:
Related Questions
When a gas is kept at a constant temperature and pressure on it changes, its volume changes according to the following formula, known as Boyle’s law
where P1 and V1 are the pressure (in atm) and the volume (in litres) at the beginning, and P2 and V2 are the pressure and the volume at the end. Find the final pressure P2 if V1 = 1.5 litres, P1 = 4.5 atm and V2 = 3.5 litres. Round to the nearest tenth of a atm.
Answers
Answer: Approximately 1.9 atm
============================================
Work Shown:
[tex]P_1*V_1 = P_2*V_2 \ \text{ ... Boyle's Law}\\\\4.5*1.5 = P_2*3.5\\\\6.75 = P_2*3.5\\\\P_2*3.5 = 6.75\\\\P_2 = \frac{6.75}{3.5}\\\\P_2 \approx 1.92857142857142\\\\P_2 \approx 1.9\\\\[/tex]
If the volume is 3.5 liters, then the pressure is approximately 1.9 atm.
Note the increase in volume leads to the reduction of pressure, and vice versa. The two variables have an inverse relationship.
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As a check,
[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.9*3.5\\\\6.75 \approx 6.65\\\\[/tex]
We don't get the exact thing on both sides, but the two sides are close enough. We have rounding error due to P2 being not exact.
A more accurate check could be
[tex]P_1*V_1 = P_2*V_2\\\\4.5*1.5 \approx 1.92857*3.5\\\\6.75 \approx 6.749995\\\\[/tex]
which has the two sides much closer to one another. This helps us verify the answer.
Cokes are on sale 4 for $14. What is the unit rate?
Answers
Answer:3.5
Step-by-step explanation:
All Uu have to do is JuSs divide .
A department store buys200 shirts at a cost of $ 5400 and sells them at a selling price of $30 each. Find the percent markup
Answers
200 shirts x $30 = $6000
Total sales would be $6000
Profit = 6000 - 5400 = $600
Divide profit by cost:
600/5400 = 0.1111
Multiply by 100 for percentage:
0.111 x 100 = 11.1%
Rounding to nearest percent would be 11% markup
Answer:
is it 2.00?
Step-by-step explanation:
"find the length indicated"
Answers
Answer:
huh??
Step-by-step explanation:
what does hypothesis mean?
Answers
Answer:
a guess or prediction on how an experiment is going to turn out.
Step-by-step explanation:
Scientists use it a lot
Answer:
Hypothesis means a reasonable guess in science.
Step-by-step explanation:
Scientists first make a hypothesis in order to predict the solution to their experiment. And when they're hypothesis is wrong, they make another hypothesis. So basically, a hypothesis is a "reasonable guess"
Hope this answers your question!
Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes.
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Answer: about 500
Step-by-step explanation:
Answer:
Step-by-step explanation:
800 meters
Right Triangle Trigonometry.
Answers
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
What is the solution to the following system of equations?
2x + 4y = 0
y = -1/2x
A. The ordered pair (0,0) is the solution.
B. The ordered pair (-1/2,0) is the solution.
C. There are an infinite number of solutions.
D. There is no solution.
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what is the slope, m, and the y-intercept of the line that is graphed below?
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Answer:
m= 1; (0, 3)
Step-by-step explanation:
jus bc
5. The Hudson family went out to dinner. The meal cost $57.50. If they also left a 15% tip, approximately how much did the entire dinner cost?
Answers
-10 -(-5) can someone answer dis for me please
.
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Answer:
-5
Step-by-step explanation:
yw
Answer:
-5
Step-by-step explanation:
the two minus signs next to each other make it a plus sign so the equation would become
-10 + 5
which is -5
ewkrfmwekosdfgseargfaerfgaerfmwoegm :
Answers
Answer:
Ok thats really cool thanks :)
Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:
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x-intercept: (2,0)
graphed:
X intercept (2,0)
What is the value of the expression below? 3x + (12 - 3) - x, when x = 2.5 A. 13 B. 14 C. 15 D. 19
Answers
Answer:
The answer to this question is: (B)
Which is "14"
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
HOPE this helped if so PLEASE leave a "Rating" and a "LIke" and PLEASE mark me brainliest if I have the best answer! THANKS! :))))
The following information is known about a loan.
Time = 7 years
Interest rate = 6%
Interest = $840.00
What was the principal on the loan?
Answers
Answer:
112.8
Step-by-step explanation:
840/7 which is 120 then you would want to multiply by 0.94 as you are adding back!
Answer:
principal of the loan is $2000
Step-by-step explanation:
use formula of simple interest i.e. S.I. = (P×R×T)/100
Here, S.I. is Simple Interest
P is Principal
R is Rate of Interest
T is Time
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha
Answers
Complete Question
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha 0.05
Answer:
The p-value is [tex]p-value =0.073614[/tex]
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
Step-by-step explanation:
From the question we are told that
The sample size of boys and girls is [tex]n_1= n_2 = n = 40[/tex]
The standard deviation is [tex]s_1= s_2 = s = 5[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The sample mean for boys is [tex]\= x_1 =66[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1 ^2 }{n_1} + \frac{s_2 ^2 }{n_1} } }[/tex]
=> [tex]z = \frac{66 -68 }{ \sqrt{\frac{5^2 }{40} + \frac{5 ^2 }{40} } }[/tex]
=> [tex]z = -1.789[/tex]
From the z table the area under the normal curve to the left corresponding to -1,789 is
[tex]P(Z < -.1789 ) = 0.036807[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -.1789 )[/tex]
=> [tex]p-value = 2 * 0.036807[/tex]
=> [tex]p-value =0.073614[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
Use the GCF and the Distributive Property to find the sum of 12 and 36.
Answers
Answer:
12(1+3)
Step-by-step explanation:
gcf: 12
12/12=1
36/12=3
HELP PLEASE THIS IS DUE TODAY 50 POINTS
Answers
Answer:
the answer is x over -2 × 14
Answer:-2,2 -7,7 -14,14 0,0
Step-by-step explanation:im not really good at this but i tried and i oped it worked
Which binomial could be rewritten as a difference of two squares?
A 2r2 – 4y2
B 9x2 + 16y2
C 3r2 – 10y2
D 4x2 - 25y2
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It Snowed 1/2 inch on Saturday and 1 3/5 inches on Sunday. How much did it snow altogether, total?
Answers
Answer:
Fraction form: it snowed 2 1/10 inches in total, decimal form: in other words it snowed 2.1 inches.
Step-by-step explanation:
I really need help with -8 - 4(5m + 9)
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Determine the intercepts of the line. 3x + 12
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Answer:
Step-by-step explanation:
y=−3x+12
when x=0 then y=12 , the y intercept is (0,12)
when y=0 then -3x+12=0, -3x=-12, x=12/3=4
x intercept =(4,0)
help- which of the following functions will produce the graph
Answers
Answer:
B
Step-by-step explanation:
y= -24/x²+8
y-int ( 0,-3
Please answer this is the third time I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long
Answers
Answer:
y = 1.75
x = 1.25
Step-by-step explanation:
Since the triangles have equal angles, you can use ratios to solve for x and y.
For y:
[tex]\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75[/tex]
Subtract 7 from a to find y.
y = 8.75 - 7
y = 1.75
For x:
[tex]\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25[/tex]
Subtract 5 from b to find x.
x = 6.25 - 5
x = 1.25
16. Adam uses a microscope to observe insects in science class. The
microscope enlarges objects to 100 times their actual size. Find the length of
each insect as seen in the microscope.
A=
cm
(Type a whole number or a decimal.)
Answers
Answer:
A= 0.5, B=2.2, C=0.12, D=.0.9.
Step-by-step explanation:
Caitlyn is saving for vacation. She already has $38 and plans to save $18 per week until she reaches her goal of $524. Caitlyn’s total savings, s, can be determined using this equation, where w represents the number of weeks she saves.
s=18w+38
How many weeks will Caitlyn need to save to reach her goal of $524?
Answers
Answer:
27.88 can be rounded to whatever the question wants you to, coz it needs to be a whole no.---> so I would say 28 weeks, but it depends on what the question asks
Step-by-step explanation:
18w+38= should equal to $540
rephrasing this in a mathematical way would be-
18w+38=$540
18w=$540-38
18w=502
w=502/18
w=27.88
Answer:
The answer is 27. 88 but if this is like a test and not a open end question than the answer is 27 ;)
need this done quick pls
Answers
Answer:
50 degrees
Step-by-step explanation:
40+50=130
130-180
50
Answer:
50
I have not done this in years!
Simplify 8 over negative 3 divided by negative 4 over 9.
−8
−6
6
8
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Answer:
The answer is 6. Hope this helped :D
Can anyone solve this for me? If so please type the steps!
Answers
Answer:
It is a relflection.This is a reflection horizontally bc they are not dialatedor rotated. please vote brainliest
Step-by-step explanation:
Answer:
I don't get it the two triangles look the same
Step-by-step explanation:
If G(x)=5x-2, find G^-1(x).
A.-5x+2
B.(x+2)/5
C.(x/5)+2
Answers
Answer:
C.
Step-by-step explanation:
G(x) = 5x - 2
G^-1 = everything will become a fraction with one as the numerator and all negatives on the bottom become a positive constant.
G^-1(x) = (x/5) + 2