Determine the solution to the system. Explain students steps to solving the systems of equations.
A).-1
B).3
C).(-1,3)
D).(3,-1)
Answers
Determine the solution to the system. Explain students steps to solving the systems of equations.
A).-1B).3C).(-1,3)D).(3,-1)[tex] \\ [/tex]
[tex] \\ [/tex]
[tex]\Large{\underline{\mathcal{Given:}}}[/tex]
ᴇǫᴜᴀᴛɪᴏɴs:
1️⃣➤x -4y = 7
2️⃣➤5x + 9y = 6
[tex] \\ [/tex]
[tex] \\ [/tex]
[tex]\Large{\underline{\mathcal{ToFind:}}}[/tex]
x and y values .
[tex] \\ [/tex]
[tex] \\ [/tex]
[tex]\Large{\underline{\mathcal{Solution:}}}[/tex]
[tex] \\ [/tex]
[tex] \\ [/tex]
➠Here the elimination method is used as it is in the form of
Ɑx + Ɓყ = Ƈ ,where the two variables are unknown
[tex] \\ [/tex]
[tex] \\ [/tex]
➠The two equations are added or subtracted to get one unknown value and later the identified value is substituted in either of the equation in order to get the another unknown value
[tex] \\ [/tex]
ʙʏ ᴇʟɪᴍɪɴᴀᴛɪᴏɴ ᴍᴇᴛʜᴏᴅ :
1️⃣➤x -4y = 7
2️⃣➤5x + 9y = 6
[tex] \\ [/tex]
➠First equation is multiplied with the suitable number in order to get any of the x or y values cancelled
then,
[tex] \\ [/tex]
[tex] \\ [/tex]
1️⃣ ×-5➤-5x +20y = -35
2️⃣ ➤ 5x +9y = 6
___________________
[tex] \:\:\:[/tex]➺29y = -29
[tex] \:\:\:[/tex]➺y =- 29/29
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ y = \frak{\pink{-1}}}}}[/tex]
[tex] \\ [/tex]
[tex] \\ [/tex]
Now,
[tex] \\ [/tex]
[tex] \\ [/tex]
➠ the identified value is substituted in either of the equation in order to get the another unknown value
[tex] \\ [/tex]
[tex] \\ [/tex]
1️⃣➤x -4y = 7
[tex] \:\:\:[/tex]➺x - 4(-1) = 7
[tex] \:\:\:[/tex]➺x +4 = 7
[tex] \:\:\:[/tex]➺x = 7-4
[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x = \frak{\red{3}}}}}[/tex]
____________________________
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Find the value of x round to the nearest tenth
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Answer:isk
Step-by-step explanation:
3x^2+23x^343x^2+13x-10
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Which of the following is most likely the next step in the series?
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45. Find the median of the numbers 34, 47,
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Step-by-step explanation:
Yousef buys 40 tokens at the carnival. He gives his sister tokens for 5 kiddie rides. He wants to use the remaining token for thrill rides for himselt.
thrill rides use 5 tokens each and kiddie rides use 3 tokens each, what is the largest number of thrill rides Yousef can go on?
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Answer:
5 rides
Step-by-step explanation: Multiply the number of kiddie rides his sister will go on (5) by the amount of tickets it costs each (3). subract that from 40 (the initial amount of tickets). then divide that by 5 (amount of tickets for 1 thrill ride)
In the figure below,S is between Q and T and R is the midpoint of QS. If RT=9 And RS=4 find QT
Answers
Answer:
QT = 13
Step-by-step explanation:
since R is the midpoint of QS, QR = RS = 4
QT = RT + QR = 9 + 4 = 13
Daniel loves pizza, so he decided to enter a pizza eating contest. Each contestant was given a 25inch pizza and the winner was determined by who ate the most! Daniel ate the entire pizza and won! How much pizza did he eat? (Hint 25 is the diameter?
Answers
Answer:
490.87 inches²
Step-by-step explanation:
Hi there!
What we're trying to find: the area of the circular-shaped pizza
What we know: the diameter of the pizza (25 inches)
Area of a circle = [tex]\pi r^2[/tex] where r is the radius of a circle
To find the radius, divide the diameter by 2:
25 inches ÷ 2 = 12.5 inches
Plug 12.5 inches into the area equation
[tex]A=\pi r^2\\A=\pi (12.5)^2\\A=\pi (12.5)^2\\A=156.25\pi \\A=156.25\pi \\A=490.87[/tex]
The area of the circle (pizza) is approximately 490.87 inches².
Therefore, Daniel ate 490.87 inches² worth of pizza.
I hope this helps!
ASAP help me plz!!! It’s 2 questions btw
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Answer:
60
Step-by-step explanation:
I hope you understand what I wrote
If four is subtracted from twice a number, the result is fourteen what is the equation
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Answer:
2x - 4 = x - 10
Step-by-step explanation:
Monica is one year younger than Dave. Dave is one year younger than
Amber. The sum of their ages is 33. How old is Dave?
Answers
Answer:
11
Step-by-step explanation:
11+10+12=33
According to the information, Monica is a year younger and Amber is a year older. so, Dave is the middle child. So Dave is 11.
A rare baseball card that was purchased increases in value over time. The function C(t) is represented on the following graph, where C represents the value of the card, and t is time in years since the card was purchased.
What is the initial value, and what does it represent?
Select the statement that answers both parts of the question correctly.
The initial value is 0 and it represents the lowest value of the card.
The initial value is 10 and it represents the amount of time it takes for the card to increase in value.
The initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
The initial value is 12,000 and it represents the price of the card when it was new.
Answers
Answer: The initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
Explanation: I just looked at the beginning of the graph, surprisingly I got it right.
Initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
The function C(t) is represented on the following graph, where C represents the value of the card, and t is time in years since the card was purchased.
We need to find the initial value and we have to select the statement which is true.
The initial value is 0 and it represents the lowest value of the card.
The initial value is 10 and it represents the amount of time it takes for the card to increase in value.
The initial value is 12,000 and it represents the price of the card when it was new.
Among the given statements, the 4th statement is true based on the graph.
Hence initial value is 12,000 and it represents the price of the baseball card at the time of purchase.
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A slide was installed at the local swimming pool, as shown here
What is the length of the slide?
Answers
Answer:
21.47 ft (rounded to the near hundreths)Step-by-step explanation:
Pythagorean Theorem : Right triangle with legs a and b and hypotenuse c
a=19 b = 10 c= x
19² + 10² = x²361 +100 = x²461 = x²x = square root of 461
x= 21.4709... (21.47 )
The required length of the slide installed at the local swimming pool is 21.47 ft.
A slide was installed at the local swimming pool, as shown here, what is the length of the slide is to be determined.
Perpendicular length = 10ft
base length = 19ft
In a right-angled triangle, its side of the right angle triangle, such as hypotenuse, perpendicular, and base are Pythagorean triplets.
Let the length of the slide at the local swimming pool is x,
applying Pythagorean theorem
hypotenuse² = perpendicular² + base²
x² = 19² + 10²
x² = 361 +100
x² = 461
x = √461
x = 21.47 ft
So, x = 21.47 is the length of the slide.
Thus, The required length of the slide installed at the local swimming pool is 21.47 ft.
Learn more about Pythagorean triplets here:
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For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
Choose the correct null and alternative hypotheses below.
A. H0: μ = 22.1 months
Ha: μ > 22.1 months
B. H0: μ = 22.1 months
Ha: μ 22.1 months
C. H0: μ = 22.1 months
Ha: μ < 22.1 months
D. H0: μ > 22.1 months
Ha: μ = 22.1 months
E. H0: μ 22.1 months
Ha: μ = 22.1 months
F. H0: μ = 22.1 months
Ha: μ > 22.1 months
Which of the following is the correct classification of the hypothesis test?
A. Two-tailed
B. Left-tailed
C. Right-tailed
Answers
Answer:
Option B:
[tex]H_0: \mu = 22.1[/tex]
[tex]H_a: \mu \neq 22.1[/tex]
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
[tex]H_0: \mu = 22.1[/tex]
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
[tex]H_a: \mu \neq 22.1[/tex]
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
Use the diagram of the parallelogram to answer the question. 18 m 10 m 6 m *not drawn to scale What is the perimeter of the parallelogram? A. 34 m B. 54 in O C. 56 m D. 62 mm OE. E. 108 m
Help will give brainliest
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Answer:
i think it might be E: 108 m ? im not sure
i will give you brainliest and thanks and 5 star on all of my accounts on brainliest if its correct rip my points i have 9 now :(
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Answer:
A) answer c ; B) X+3.7=15.3 ; C) 15.3 - 3.7 = 11.6 ---> 11.6+3.7=15.3
Step-by-step explanation:
Solution for A: First you have to look for the line underneath the bar says 15.3 as this will represent the total amount of liters in the bucket altogether. This would be bar c since we also know that we have 3.7 liters added but are missing the amount that was previously inside the bucket.
Solution for B: Let X resemble the unknown amount of water. To solve B, we need to write an equation. We know that there was already an amount of water in the bucket prior to us pouring more in so X is our first addend. We then added 3.7 liters of water to the unknown amount so that is our next addend giving you X+3.7=15.3
Solution for C: Now that we know our equation, we do the inverse operation (subtraction) in order to figure out the missing amount of water. This means we do
15.3 - 3.7 = 11.6
Can someone please help me? And it says “Solve each equation. Then, prove that your answer solves the original equation?
Answers
Step-by-step explanation:
We need to solve each equation.
a. 6c = 30
c = 30/6 = 5
b.
2d-6=12
Adding 6 both sides
2d-6+6=12+6
2d = 18
d = 9
c.
[tex]\dfrac{x}{3}+9=2\\\\\dfrac{x}{3}=-7\\\\x=-21[/tex]
d.
50=14+3m
50-14=3m
36=3m
m = 12
Hence, this is the required solution.
determine the value of x in the equation below. (3a3)x=27a9
Answers
Answer:
[tex]x = 9 {a}^{6} [/tex]
Step-by-step explanation:
[tex] = > {3a}^{3} x = 27 {a}^{9} [/tex]
[tex] = > {a}^{3} x = \frac{27a^{9} }{3} [/tex]
[tex] = > {a}^{3} x = 9a ^{9} [/tex]
[tex] = > x = \frac{9 {a}^{9} }{ {a}^{3} } [/tex]
[tex] = > x = 9a^{9 - 3} [/tex]
[tex] = > x = 9 {a}^{6} [/tex]
hence, the answer is x = 9a⁶.
can you help i give 50 points
Answers
Answer:
IF It is a right angle triangle then it's one angle
is of 90 degree
Other angle given is 32degree
And sum of all angle of triangle is 180 degree
Therefore by angle sum property
Missing angle =180 - (90+32)
Missing angle =180 - 113
Missing angle =67
The third angle is 6 7 degree
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU.....
determine the discount between the point(-4,2) and the line 4y=3×+6
Answers
Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
what is the value of x?
Answers
Answer:
x = 222
Step-by-step explanation:
Answer:
√(x+3)=15
squaring both side
x+3=15²
x=15²-3
x=222
is your answer
The area of the figure is ______ sq units
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what is the area of the right triangle
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Answer:
8.10 you didn't specify what unit was being used
Solve for x. What does X =?
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Answer:
x=50
Step-by-step explanation:
100 POINTS FOR ANYONE WHO CAN ANSWER THESE! <3
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Answer:
∠1 = 142°
reason: angles 1 and 2 are supplementary so they equal 180. 180-38 is 142
∠3 = 38°
reason: angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.
∠4 = 142°
reason: since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142
∠5 = 38°
reason: since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2
∠6 = 142°
reason: for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.
∠8 = 142°
reason: since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also
Step-by-step explanation:
hope this helped you :)
Fun Fact : You are so effing beautiful. And i love you. Hundreds of people do. Tell this to someone who needs it.
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Answer:
You're beautiful!
Kelly's little brother is exactly 3 feet tall. How tall is he in inches?
Answers
Answer:
he is 36 inches
Step-by-step explanation:
Answer:
36 inches
Step-by-step explanation:
We know that Kelly's little brother is exactly 3 feet tall, and we know how big he is in inches.
To solve first keep in mind that 1 feet is 12 inches.
Therefore if there are 3 feet, we would multiply the inches 3 times.
12 * 3
= 36
Therefore, Kelly's little brother is 36 inches.
For the Past year, national percentages of people's preference in car color are as follows: White: 35%, Silver: 28%, Blue: 24%, Red: 10%, Other: 3% Of the 9,000 people who bought cars in San Jose recently, the following is the record of colors: White 3,145; Silver 2510; Blue 2,165; Red 905; Other 275 Use "Goodness of Fit Test" and the Chi Square distribution What is the value of the Chi Square Test Statistics for this problem to the nearest third decimal place? What is the p value for chi square?
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Answer:
35%
Step-by-step explanation:
Leap 1 ten! Circle the answer
20 21 22 23 24 25 26 27 28 29
30
40 39 38 37 36 35 34 33 32 31
41
42 43 44 45 46 47 48 49 50 51
Answers
Answer:
It says leap 1+10. The frog is on the number 21. The frog already leaped one ( hence 20 ) So the answer would be 31.
Step-by-step explanation:
Math
may i please get help for this please and thank you
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Because 2= 125 that means that 7 is also 125 and 6 so you subtract 125-180= 55
Help fast
Identify the graph of the compound inequality (-2<2x-6) and (3x-12310).
DONE
Answers
Answer:
The first one
Step-by-step explanation:
Answer:
The first Graph
Step-by-step explanation:
Edge 2021