1. What is the solution of the system of equations?
y + 2x = 2
y + 4x=0
2. What is the equation in slop-intercept form got the line that passes through the points (-1,3) and (-2,-3)?
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Answer:
x=-1, y=4y-3=6(x+1) i.e y=6x+9Related Questions
la aceleracion se define como
Answers
Answer:
La definición de aceleración es: La aceleración es una cantidad vectorial que se define como la tasa a la que un objeto cambia su velocidad. Un objeto está acelerando si está cambiando su velocidad.
Step-by-step explanation:
Y tu bienvenida
¿De qué número 64 es el 80%?
Answers
a box is filled with chocolates and its mass is 480g. The same box is now filled with mints and its mass is 350g. The chocolates weigh twice as much as the mints. what is the mass of the box
Answers
Answer:
The box weighs 220 grams.
Step-by-step explanation:
Since the box full of chocolates weighs 480 grams, and the same box full of mints weighs 350, the weight difference between them is 130 grams. According to the statement, the quantity of chocolate weighs twice that of mint, while the weight of the box does not vary.
Therefore, since chocolate weighs twice as much as mints, and the weight is reduced by 130 grams, that is the difference in weight between the two, with which chocolate weighs 260 grams and mints 130 grams.
Therefore, the box weighs 220 grams: 220 + 130 = 350, and 220 + 260 = 480.
A picture frame is 9 inches by 12 inches, what is the area of the picture frame?
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Answer:
108 inches
Step-by-step explanation:
what is the simplest form of
-1/4 + 3/8
---------------
5/8
for 20 pts
Answers
Answer:
the fraction in simplest form is \(\frac{1}{5}\)
Step-by-step explanation:
Hope this helps!
Answer:
you may not find this helpful,
Step-by-step explanation:
0.125 is the answer
Kevin said that if you triple his age the result will be 1 less than his mother age Graph
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Answer:
Let's use "K" to represent Kevin's current age, and "M" to represent his mother's current age.
According to the problem, if you triple Kevin's age, the result is 1 less than his mother's age:
3K = M - 1
We can simplify this equation by adding 1 to both sides:
3K + 1 = M
This equation tells us that if we add 1 to three times Kevin's age, we get his mother's age. We can use this equation to solve for Kevin's age if we know his mother's age, or we can use it to solve for his mother's age if we know Kevin's age.
According to the triangle inequity if 20 and 25 are the lengths of two sides of a triangle then an inequality that represents all possible lengths for the third side is_____
A. 0
B. 0
C. 5_
D. 5
Answers
Answer and explanation:
The inequality theorem states that the sum of the length of two sides of a triangle is greater than the third side of a triangle.
Also the difference of two sides of a triangle is less than the third side
If we apply this theorem here,
Then we say the third side x<20+25 and x>25-20
Therefore x<45 but >5
5<x<45
Possible sides of x include: 6,7,8,9,10,11,12,13,14,15,16,17,18...not equal to 45 or more than
please help me with theses!! need to get it done asap.
Answers
Answer:
Question 1 : Pierre is right
Question 2 : 0.85 (because 1 - 0.15 = 0.85)
Question 3 : Less than 1
Step-by-step explanation:
If x=2y+5 and x=3y-6, what is the value of x?
Answers
Explanation:
From the second equation, you know that x = 5 - 2y
Substitute this expression for ∞ in the first equation to get
2(5 - 2y) + 3y = 6
10-4y +34 = 6
-y = - 4
y =4
Now that we have found y, we can find * using
X=5-24 -> X =5-2.4 = -3
plsss help meee in math :(((
Answers
Answer:
a = 30
2a = 60
3a = 90
Step-by-step explanation:
3a + 2a + a = 180 ( Sum of angles of a triangle is 180)
6a = 180
a = 180/6
a = 30
2a = 2 x 30 =60
3a = 3 x 30 = 90
This morning sams car had 13.25 gallons of fuel now 1.9 gallons are left .how much fuel did Sam use
Answers
Answer:
11.35
Step-by-step explanation:
13.25
-
1.9
_____________
11.35
Which term completes the product so that it is the difference of squares?
(−5x−3)(−5x+________)
Answers
Answer:
3
Step-by-step explanation:
For Edge Users its
C
Answer: C. 3
Step-by-step explanation: Just confirming what the other person wrote :)
PLEASE HELP I HAVE TO TURN THIS IN TODAY
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Match to the other shape
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Answer:
wheres the picture?
Step-by-step explanation:
Do you think there is a difference between the makeup of Congress and the makeup of the general public? Explain.
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Answer: Do you wear makeup?
What’s the percentage as a decimal
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Answer:
0.0006
Step-by-step explanation:
A data set on money spent on lottery tickets during the past year by households has a lowest value of and a highest value of . Suppose we want to group these data into classes of equal widths. Assuming we take the lower limit of the first class as and the width of each class equal to , what are the class boundaries and class midpoints
Answers
Answer:
Following are the complete solution to the given question:
Step-by-step explanation:
The Lower-limit of the Ist class: \(\$1\)
The width of the class interval: \(\$200\)
Lower-limit for the next five-class: \(\$201, \$401, \$601, \$801, \$1001\)
Upper-limit for the next five-class: \(\$200, \$400, \$600, \$800, \$1000, \$1200\)
For point a:
class intervals
\(\$1-\$200\\\\ \$201-\$400\\\\ \$401-\$600\\\\ \$601-\$800 \\\\\$801-\$1000\\\\ \$1001-1200\)
For point b:
Mid-points:
\(\$100.5\\\\\$300.5\\\\\$500.5\\\\\$700.5\\\\\$900.5\\\\\$1000.5\\\\\)
Jeremy's work to solve the equation
-3x+1
2
2x – 10 is shown below.
Step
Work
Justification
1
-3.1+1
2
= 2x – 10
2
-3x +1 = 4x – 20
3
–7x + 1 = –20
4
72 = -21
5
= 3
Identify the mathematical properties Jeremy uses to justify his steps.
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Answer:
C
Step-by-step explanation:
The following are mathematical properties that justifies each step Jeremy made:
✔️Step 1: Given
Jeremy simply stated the given equation.
✔️Step 2: Multiplication Property of Equality
Jeremy multiplied both sides of the equation by 2
✔️Step 3: Subtraction property of equality
4x was subtracted from both sides
✔️Step 4: Subtraction property of equality
1 was subtracted from both sides
✔️Step 5: Division property of equality
Both sides were divided by -7
Ms. Smith gave her class 12 minutes to read independently in class. Carrie read 5 1 2 2 1 pages in that time. At what rate, in pages per hour, did Carrie read?
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Answer:
51,221 pages? Ill answer i just need clarification.
1. A. What is the formula for the Pythagorean Theorem? (1 point)
B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x
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Answer:
side 1^2 + side 2 ^2 = hypotenuse ^ 2
18^2 + 20^2 = hypotenuse^2
324 + 400 = 724
hypotenuse^2 = 724
hypotenuse = 26.9072480941474
hypotenuse = 26.9
Step-by-step explanation:
A line passes through the points (5,21) and (6,22).
Answers
Hey there!
The formula is: y₂ - y₁ / x₂ - x₁
y₂ = 22
y₁ = 21
x₂ = 6
x₁ = 5
Your equation: 22 - 21 / 6 - 5
22 - 21 = 1 ← numerator (TOP number)
6 - 5 = 1 ← denominator (BOTTOM number)
We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1
(or you can simply 1 because 1 ÷ 1 gives you 1)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Error Analysis:
Describe and correct the error made in the reasoning:
If a/5 = b/3, then 5/a = b/3 * x
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The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.
To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:
a/5 = b/3
5/a = 3/b (multiplying both sides by 5/a)
5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)
5/a = 1
Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".
Learn more about fraction on:
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In ΔLMN, l = 35 inches, m = 67 inches and n=91 inches. Find the measure of ∠N to the nearest degree.
Answers
9514 1404 393
Answer:
123°
Step-by-step explanation:
From the law of cosines, you know that ...
n² = l² +m² -2lm·cos(N)
Solving for the angle gives ...
N = arccos((l² +m² -n²)/(2lm)) = arccos(-2567/4690) ≈ 123.184°
∠N ≈ 123°
Tim go to school.His age is a cube number.His age is double 1 square number and half a different square number.How old is Tim?
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Answer:
Tim is 8 years old.
Explanation:
8 is the cube number of 2, as 2 × 2 × 2 = 8. Additionally, 8 is double 4, which is the square number of 2, and half of 16, which is the square number of 4.
Tim who goes to school is 8 years old.
Why numerical ability is important ?Good numerical ability describes your ability to think and conclude logical thoughts in your daily life also in your working role how you handle data in form of numbers, graphs, statements etc.
According to the given question Tim goes to school.
His age is a cube number let that number be x therefore age of Tim would be x³.
His age can also be defined as double of 1 square number which is 2x² and half of a different square of a numbers.
Let us equate x³ = 2x² and by hit and trial we get to know that x = 2 satisfies this condition.
So, Age of Tim could be 8 years,Now lets check our third statement half a different square number 16 is square of 4 so half of 16 is also 8.
Thus Tim is 8 years old.
learn more about these type of problems here :
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you found a pair of jordans that you have always wanted, and they are on sale. the original price is $325.00 but with a sales discount of 40% off.
1. what is the original price
2. What is 40% of the original price
3. what operation do you complete after you find the discount
4. What is the final price
Answers
Answer:
1. 325
2. 130
3. 325 - 130 = 195
4. 195
Step-by-step explanation:
Find the original price
Get the discount percentage
Calculate the savings
Subtract the savings from the original price to get the sale price
and You're all set!
Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
Answers
To find the measures of center, we need to determine the median for each school.
For Sky View School:
Arrange the data in order: 0, 0, 1, 2, 3, 4, 5, 5, 5, 6, 7, 7, 8, 9
The median is the middle value, which is 5.
For South Lake School:
Arrange the data in order: 0, 0, 1, 2, 2, 5, 6, 6, 8
The median is the middle value, which is also 5.
Therefore, the median class size for both schools is 5.
Part B: Measures of variability
To find the measures of variability, we need to determine the range and interquartile range (IQR) for each school.
For Sky View School:
The smallest value is 0 and the largest value is 9, so the range is 9 - 0 = 9.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 1 + 2 + 3 + 4)/5 = 2. The third quartile is the median of the upper half, which is (6 + 7 + 8 +9)/4 = 7.25 (rounded to two decimal places).
Therefore, the IQR is 7.25 - 2 = 5.25.
For South Lake School:
The smallest value is 0 and the largest value is 8, so the range is 8 - 0 = 8.
To find the IQR, we need to find the first and third quartiles. The median is 5, so the first quartile is the median of the lower half, which is (0 + 0 + 1 + 2)/4 = 0.75 (rounded to two decimal places). The third quartile is the median of the upper half, which is (6 + 6 + 8)/3 = 6.67 (rounded to two decimal places).
Therefore, the IQR is 6.67 - 0.75 = 5.92 (rounded to two decimal places).
Part C: Choosing a school based on class size
If you are interested in a smaller class size, South Lake School is the better choice. This is because the range and IQR for South Lake School are smaller than those for Sky View School, indicating that the class sizes at South Lake School are more consistent and less variable. Additionally, the largest class size at South Lake School is 8, while the largest class size at Sky View School is 9, further indicating that South Lake School may have smaller class sizes overall.
Measures of center for Sky View School:
Mean = (0+1+2+3+4+5+5+5+6+7+7+8+9)/13
Mean = 4.8
Median = 5
Measures of center for South Lake School:
Mean = (0+1+2+2+3+5+6+6+8+8)/10
Mean = 4.1
Median = 5
Part B:
Measures of variability for Sky View School:
Range = 9 - 0 = 9
Interquartile Range (IQR) = Q3 - Q1 = 7 - 2 = 5
Variance = [(0-4.8)^2 + (1-4.8)^2 + (2-4.8)^2 + (3-4.8)^2 + (4-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (5-4.8)^2 + (6-4.8)^2 + (7-4.8)^2 + (7-4.8)^2 + (8-4.8)^2 + (9-4.8)^2]/12
Variance = 7.6
Standard Deviation = √7.6
Standard Deviation = 2.76
Measures of variability for South Lake School:
Range = 8 - 0 = 8
Interquartile Range (IQR) = Q3 - Q1 = 6 - 1 = 5
Variance = [(0-4.1)^2 + (1-4.1)^2 + (2-4.1)^2 + (2-4.1)^2 + (3-4.1)^2 + (5-4.1)^2 + (6-4.1)^2 + (6-4.1)^2 + (8-4.1)^2 + (8-4.1)^2]/9
Variance = 6.45
Standard Deviation = √6.45
Standard Deviation = 2.54
Part C:
If you are interested in a smaller class size, South Lake School is a better choice for you. This is because the measures of center and variability for South Lake School are both smaller than those for Sky View School.
4 children want to share 7 Brownies so that each person get the same amount how much brownies will each child get
Answers
Answer:
answer: 1.75 of a brownie
Step-by-step explanation:
you divided 7 by 4 to get 1.75
Answer:
\( \frac{7}{4} \: or \: 1 \: and \: \frac{3}{4} \: or \: 1.75 \)
Step-by-step explanation:
you are dividing 7 brownies on 4 children so it's 7 divided by 4...
Find the distance between j(-3,4) and k(2,-4)
Answers
Answer:
\(d=\sqrt{89}\)
Step-by-step explanation:
Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Simply plug in your 2 coordinates into the distance formula to find distance d:
\(d=\sqrt{(2-(-3))^2+(-4-4)^2}\)
\(d=\sqrt{(2+3)^2+(-8)^2}\)
\(d=\sqrt{(5)^2+64}\)
\(d=\sqrt{25+64}\)
\(d=\sqrt{89}\)
Solve using the substitution method 4x+y=7x=3y-8
Answers
Given the system of equations:
4x + y = 7
x = 3y - 8
Let's solve using the substitution method.
To solve using substitution method, apply the following steps:
Step 1:
Substitute (3y - 8) for x in equation 1
\(\begin{gathered} 4x+y=7 \\ \\ 4(3y-8)+y=7 \end{gathered}\)Step 2:
Apply distributive property:
\(\begin{gathered} 4(3y)+4(-8)+y=7 \\ \\ 12y-32+y=7 \end{gathered}\)Combine like terms:
\(\begin{gathered} 13y+y-32=7 \\ \\ 13y-32=7 \end{gathered}\)Step 3.
Solve for y.
Add 32 to both sides:
\(\begin{gathered} 13y-32+32=7+32 \\ \\ 13y=39 \\ \\ \text{ Divide both sides by 13:} \\ \frac{13y}{13}=\frac{39}{13} \\ \\ y=3 \end{gathered}\)Step 4.
Substitute 3 for y in either of the equations.
Take equation 2:
\(\begin{gathered} x=3y-8 \\ \\ x=3(3)-8 \\ \\ x=9-8 \\ \\ x=1 \end{gathered}\)Therefore, we have the solution:
x = 1, y = 3
ANSWER:
• x = 1
,• y = 3
Let f(x)=x+1 and g(x)= x^2 – 2. Find f (x)·g(x)
Answers
Answer:
x^3 + x^2 - 2x - 2
Step-by-step explanation:
(x+1)(x^2-2)
x^3 - 2x + x^2 - 2