Answer:
Line y = -x + 2 intersects line y = 3x + 1
Step-by-step explanation:
The solution to a system of equations is the point at which the two lines intersect. To find this point, first equate the equations and solve for x:
[tex]\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}[/tex]
Substitute the found value of x into one of the equations, and solve for y:
[tex]y=3\left(\dfrac14\right)+1=\dfrac74[/tex]
Therefore, the solution to the system of equations (the point at which the two lines intersect) is:
[tex]\left(\dfrac14,\dfrac74\right)[/tex]
So the description that best describes the solution to the system of equations is:
Line y = -x + 2 intersects line y = 3x + 1
There are 6 juice boxes in 1 pack. 12 in 2 packs, and 18 in 3 packs. How many juice boxes are in 4 packs? in 6 packs? Use the rule to complete the table. Describe features of the pattern Then find how many juice boxes are in 10 packs and 100 packs
Answer:
24 boxes in 4 packs.
36 boxes in 6 packs.
60 boxes in 10 packs.
600 boxes in 100 packs.
Step-by-step explanation:
If 6 boxes are in 1 pack and 12 in 2, you can use a ratio, which is 1:6 meaning for every 1 pack are 6 boxes.
There are two ways you can get an answer
Multiplication:
For however many packs there are you multiply it by 6 boxes.
For 4 packs, you multiply it by 6 boxes. You would get 24 boxes.
For 6 packs, you multiply it by 6 boxes again getting 36 boxes.
Below is a table I made for an example.
P | B
1 | 6
2 | 12
3 | 18
4 | 24
5 | #
6 | 36
10 x 6 is 60
100 x 6 is 600.
whenever the multiplier starts with 1 and ends in 0, just add the number of zeros behind that number. Example: 7 x 1,000,000 = 7,000,000
Can someone please help me I need it asap!! I’ll give brainlist !!!
Answer:
[tex]6^{6}[/tex]
Step-by-step explanation:
When the coefficient is the same (in this case it is 6), you can subtract the exponents when it's being divided.
So in this case, the exponents are 9 and 3. The 9 is being divided by the 3, So:
[tex]6^{9-3}[/tex]
[tex]6^{6}[/tex]
find the height and area of the equilateral triangle
As here we are given with an equilateral triangle, whose side is 3 cm, and we need to find the height and area of the equilateral triangle. So, for this let's recall that, the area of any equilateral triangle with side a is given by ;
[tex]{\boxed{\bf{Area_{(Equilateral\:\: Triangle)}=\dfrac{\sqrt{3}}{4}a^{2}}}}[/tex]So, if we substitute a = 3, in our Formula, it will yield to
[tex]{:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(3)^{2}}[/tex]
[tex]{:\implies \quad \sf Area_{(Equilateral\:\:Triangle)}=\dfrac{\sqrt{3}}{4}(9)}[/tex]
[tex]{:\implies \quad \boxed{\bf{Area_{(Equilateral\:\:Triangle)}=\dfrac{9\sqrt{3}}{4}\:\:cm^{2}}}}[/tex]
Now, as we know that, for any triangle we also have a formula that is ;
[tex]{\boxed{\bf{Area_{(Triangle)}=\dfrac{1}{2}\times Base\times Height}}}[/tex]Now, Here as the triangle is equilateral, so it's base will just be same 3, and if we let height be H, so we will be having
[tex]{:\implies \quad \sf \dfrac{1}{2}\times 3\times H=\dfrac{9\sqrt{3}}{4}}[/tex]
[tex]{:\implies \quad \sf H=\dfrac{9\sqrt{3}}{4}\times \dfrac23}[/tex]
[tex]{:\implies \quad \boxed{\bf{Height=\dfrac{3\sqrt{3}}{2}\:\:cm}}}[/tex]
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area of the heptagon rounded to the nearest whole number? recall that a heptagon is a polygon with 7 sides. 1,173 cm2 2,125 cm2 2,359 cm2 4,250 cm2
The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
What is the area of a heptagon?Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.
The area of the regular heptagon is found out using the following formula.
[tex]A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)[/tex]
Here, (a) is the length of the heptagon.
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,
[tex]A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2[/tex]
Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².
Learn more about the area of a heptagon here;
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Answer: b
Step-by-step explanation:
1. The subject of the statement is also the _____ of the if-then form. *
1 point
Argument
Conclusion
Converse
Hypothesis
An auto dealer reduces the prices on the cars on the sales lot. The owner of the lot is planning on lowering the price of the cars by 4% each week. The original price was $22,000. B. Write the recursive routine.
Tanisha, a manager at a state park, counted the money
in the cash register at the end of her shift, and then she
deposited the money in the bank. When she went back
to her office, she accidentally shredded the deposit
slip. She remembered that there were only $5 and $10
bills. She also recalled that there were 27 bills totaling
$205. How many $5 bills were in Tanisha's cash
register at the end of her shift?
Answer: 13
Step-by-step explanation:
[tex]$$Let $x$ be the number of \$5 bills \& let $y$ be the $10 \$$ bills.\\Then $x+y=27 \quad(\because$ total 27 bills $)$ - (1) \\ And $5 x+10 y=205 $\Rightarrow x+2 y=41 - (2)$$[/tex]
[tex]$$Now, (1) - (2) gives us.$$-y=14 \Rightarrow y=14$$Hence, $\quad x=13$\\So there were 13 \$5 bills.[/tex]
Help help with this question
Answer:
y-intercept: 4
slope: 2
Step-by-step explanation:
How does knowing the coordinates of a point P in the Cartesian plane help you determine the trigonometric ratios associated with the angle formed between the initial and terminal arm for the angle? Use an example to help you explain.
The cosine and the sine of the angle are the x and y coordinates of P, respectively
The relationship between the coordinates and trigonometry ratiosAssume that the coordinate of a point P is:
P = (x,y)
The trigonometry ratios are represented using:
(cos(t), sin(t))= (x,y)
Where t represents the angle formed between the initial and terminal arm.
Hence, the cosine and the sine of the angle are the x and y coordinates of P, respectively
Read more about Cartesian planes at:
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#SPJ1
 Can a probability more than one or 100% Explain.
Answer:
No. Only 1 to 100, logically.
Let's make a scenario to solve this.
So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.
Now we must create another scenario.
For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)
No. Only 1 to 100, logically.Let's make a scenario to solve this.So let's say I have an all yellow, 9 quarter spinner board and I spin. It will always land on yellow, so it has a 9/9 or 100% chance of landing on yellow.Now we must create another scenario.For instance, I have one bottle, its starting direction was North, and I spin it. It will have a 1/4 chance of landing on North, East, South, or West because it will land in a random direction. For the 4 diagonal directions southeast, southwest, northeast, northwest it will be the same because there are only 4 directions, therefore giving the probability a 1 in 4 chance of landing on either one. :)
Step-by-step explanation:
Jeans cost $38. They are on sale for 45% off. What is the sale price?
Show your work, please
Answer:
$20.9
Step-by-step explanation:
First you find what 45% of the cost is:
0.45 x 38 = 17.1
Then, because this is a special/decrease in original price, you subtract:
38 - 17.1 = 20.9
$20.9
Is (1,9) a solution to this system of equations?
y=5x+4
y=2x+7
Answer:
yes , if you substitute X (1) in both the equations you will get y=9 and if you substitute y(9) in both the equations you will get X=1
If your good at geometry please help me!
Jada's claim as a conjecture would be:
"All the segments in Δ ABC are parallel to the corresponding segments in Δ A'B'C' because both triangles are dilated from center P".
What is the implication of a dilation?
Whenever a shape is a dilation of another, we agree that the current shape and the dilated image's corresponding side lengths are in the same proportion and are all associated by the same scale factor, k.
What is the proof?
Attached are the images showing the parallelity of the segments and their corresponding lines.
Image 1 shows that Δ ABC and Δ A'B'C' are dilated from center p.Image 2 shows that Lines AB and A'B' run parallel to one another.Image 3 shows that lines CB and C'B' run parallel to one another.Image 4 shows that lines AC and A'C' run parallel to one another.
Hence, from the above, we can confirm that the above conjecture is true.
Learn more about conjectures at:
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Simplify:
((2x)/(3y ^ - 1)) ^ 2
Answer:
2xy²/9
Step-by-step explanation:
Dana plans to use a survey of 60 randomly selected students at her school to predict the percentage of the 900 students at her school who will attend next week's school dance. How can Dana change her data collection plans to make her prediction closer to the actual result?
Answer:
See below ~
Step-by-step explanation:
Dana takes a survey of 60 students out of 900 total to see how many will attend the dance.
Based on whatever result she gets out of the 60 students, she can take that number and multiply it by 15 to get a closer prediction to the actual result.
This is because 60 x 15 = 900We are basic taking a ratio of the smaller portion so we can estimate the value of the larger groupHow many games did the team play? NO LINKS!!!
Answer:
blurry
Step-by-step explanation:
please help me with this thanks so much to whoever is helping me
Answer:
X = 80
Step-by-step explanation:
A flat line is equal to 180 degrees, meaning that if you use linear, you can find out that if you subtract 100 from it, it becomes 80, which resembles the X.
What is the value of (-3 + 3) + (-2 + 3)?
O 5 - 61
0 -5 + 6
O 5 + 61
O 5-61
Answer:
Please check the question. As written, the value is 1, which is not amoung the answers
Step-by-step explanation:
(-3 + 3) + (-2 + 3)
(-3 + 3) = 0
(-2 + 3) = 1
0 + 1 = 1
what is the rule for the numbers 1; 2; 4; 7; 11; 16
Answer:
n²+n+2
Step-by-step explanation:
1)Find the difference between the numbers.
Difference= +1,+2,+3,+4,+5
2)Find the second difference between the first differences.
Difference= +1 each time
2 differences=Quadratic sequence
3)Quadratic Sequence Equation= an²+bn+c
Find the values of a, b and c by using these terms:
a (bottom)
2a+b (middle)
a+b+c (top)
4)Substitute values into equation
a=1 b=1 c=2
n²+n+2
5. Mrs. Taylor painted her bathroom.
She began painting at 10:45 a.m.
She painted for 3 hours and 45
minutes. What time did she
finish painting?
A. 1:30 p.m.
B. 1:45 a.m.
C. 2:15 a.m.
D. 2:30 p.m.
Answer:
D
Step-by-step explanation:
Add 10:45 by 3
1/200
written as a finite decimal work shown
What does the constant of variation of 340 represent in this situation? total number of waves height of the waves in meters speed of the waves in meters per second time in seconds for one wave to pass a given point
Answer:
C: Speed of the waves in meters per second
Step-by-step explanation:
on edge
The frequency is inversely proportional to the time. Then the correct option is D.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
The table is given below.
The constant variation of 340 represents this situation will be
The frequency is inversely proportional to the time. Then it represents time in seconds.
More about the wavelength link is given below.
https://brainly.com/question/13533093
(8. 69×10to the power of 8)–(9. 6×10 to the power of 6
Answer:
3.25×10^15
Step-by-step explanation:
(8.69×10)^8_(9.6×10)^6. (3.25)×10^15_(7.83)×10^11=3.25×10^15
Which is the graph of the solution set of 5 - 2 > 5?
O A.
-18
o
18
42
O B.
-18
0
18
42
+
Oc.
-18
O
+
18
42
D.
-18
+
0
18
42
Answer:
OC
Step-by-step explanation:
I got it right on my test!
The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?
Answer: 113.04 in^2
Step-by-step explanation:
area of a circle = pir^2
R = 12/2 = 6
A= 3.14 * 6^2
= 113.04
If a baseball card appreciates exponentially in value by 50% over 10 years, what is its annual appreciation (growth) rate? Please use a calculator, and answer to the nearest whole percent.
Using an exponential function, it is found that it's annual growth rate is of 4%.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, the card appreciates exponentially in value by 50% over 10 years, hence:
A(10) = 1.5A(0).
Thus:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]1.5A(0) = A(0)(1 + r)^{10}[/tex]
[tex](1 + r)^{10} = 1.5[/tex]
[tex]\sqrt[10]{(1 + r)^{10}} = \sqrt[10]{1.5}[/tex]
1 + r = 1.04.
r = 0.04.
0.04 x 100% = 4%.
It's annual growth rate is of 4%.
More can be learned about exponential functions at https://brainly.com/question/25537936
A term describing a division of observations into four
Answer:
The name of this term is a quartile.
A racerunner is 26. 7 cm long. How much less than a meter is this?
Answer:
73.3 cm
Step-by-step explanation:
the 6th term is 22 and the common difference is 6 what is the fiftieth term?
Answer:
the fiftieth term is 76
Step-by-step explanation:
first subtract 15 by 6
15-6= 9
22+ 6 (9)
6 x 9= 54
22 + 54= 76
Answer: 76
Can someone help me, please and i will mark the person that get it right brainiest
Answer:
(a) Grade 6
Step-by-step explanation:
You want to know which grade (6 or 7) has the higher mean score, based on the given dot plots.
RangeThe scores of Grade 6 range from 70 to 100. Those of grade 7 range from 50 to 80.
MeanBoth distributions are approximately symmetrical, but have slightly more scores farther below the middle of the range than above. This means the mean in each case will be slightly below the middle of the range.
Even so, the mean of Grade 6 scores will be substantially above the mean of Grade 7 scores. Grade 6 has the higher mean score.
__
Additional comment
Assume the mean of Grade 6 is 85, the middle of the range of scores. Subtract the fewest number of dots (4) from each column, and we have 2 scores 15 units below that assumed mean, and 2 scores at 5 units above that assumed mean. The total of these is 2(-15) +2(+5) = -20. This tells us the actual mean of Grade 6 scores is -20/20 = -1 from the assumed mean of 85. The Grade 6 mean is 84. This is higher than any Grade 7 score, so Grade 6 must have the higher mean.
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