Answers
Answer:
(-1,3)
Step-by-step explanation:
Solve for x in the first equation
3x = 6 - 3y
9x - 5y= -24
Replace all occurrences of x with 2 - y in each equation
9(2 - y) - 5y = -24
x = 2 - y
Simplify the left side
18 - 4y = -24
x = 2 - y
Solve for y in the first equation
-14y = -42
x = 2 - y
y=3
x = 2- y
Replace all occurrences of y with 3 in each equation
x=-1
y=3
(-1,3)
Hope this helps!
Please give brainliest :)
If you need more help with these types of equations reach out to me!
Simplifying
3x + 6 = 9x + -24
Reorder the terms:
6 + 3x = 9x + -24
Reorder the terms:
6 + 3x = -24 + 9x
Solving
6 + 3x = -24 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
6 + 3x + -9x = -24 + 9x + -9x
Combine like terms: 3x + -9x = -6x
6 + -6x = -24 + 9x + -9x
Combine like terms: 9x + -9x = 0
6 + -6x = -24 + 0
6 + -6x = -24
Add '-6' to each side of the equation.
6 + -6 + -6x = -24 + -6
Combine like terms: 6 + -6 = 0
0 + -6x = -24 + -6
-6x = -24 + -6
Combine like terms: -24 + -6 = -30
-6x = -30
Divide each side by '-6'.
x = 5
Simplifying
x = 5
Related Questions
The length of the base of an isosceles triangle is x. The length of a leg is 3x−7. The perimeter of the triangle is 77. Find x.
Answers
Step 1: Define isosceles triangle
In an isosceles triangle, two sides and angles are equal. The equal sides will be the legs.
Step 2: Write an equation
To write an equation we must first consider the information discussed in step 1. Since we know that the legs will be equal, we will add that to the equation twice. The base and legs will be on one side of the equation, and the perimeter will be on the other. Now we can write the equation!
x+3x-7+3x-7=77
Step 3: Combine like terms
Like terms are terms that share the same variable, or lack of. Let’s add/subtract these now.
x+3x-7+3x-7=77
7x-14=77
Step 4: Solve for x
Let’s do the last part of the equation and solve for x, our final answer.
*Rewrite equation*
7x-14=77
*Add 14 to both sides*
7x=91
*Divide 7 on both sides*
x=13
This is your answer. Hope this helps! Comment below for more questions.
Toby ran a 10-kilometer race in
1 hours. Which point on the number
line represents his time?
Answers
Answer:
Point S
Step-by-step explanation:
Given that :
Time taken = 1 2/5 hours
Converting to decimal :
1 2/5 = 7/5 = 1.40 hours
From the number line, distance between each successive tick mark represents, 0.05 hours :
Hence, the point which depicts Toby's time on the number line is: point S
What is the slope that passes through the points (-9.-8) (-15,-16)
Answers
Answer:
Slope/gradient is 4/3
Step-by-step explanation:
Have a nice day
Y intercept is 0
Someone plss help me on this one too!
Thanks :)
Answers
Answer: 30%
Step-by-step explanation:
Bal Bharti Vidyalaya is located in the Karauli district of Rajasthan. The school decided to go for a plantation drive for 2 days on the occasion of Vanmahotsava. The Principal of the Vidyalaya asked the forest department to provide plants. It was decided that each student has to plant an equal number of trees on both days. On the first day, all the participants planted 5 trees each. The number of boys and girls who participated was in the ratio 5:4. (i) If the number of trees planted by the students on the first day was 5400, how many boys participated? [1] (ii) Find the total number of students who participated in this program? [1] (iii) If the total number of trees planted on the second day was 7560, then how many trees were planted by each one of them
Answers
Answer:
i). 600 Boys
ii). 1080 Students
iii). 7 Trees each students On Second day
Step-by-step explanation:
According to the Question,
Given, Bal Bharti Vidyalaya is located in the Karauli district of Rajasthan. The school decided to go for a plantation drive for 2 days on the occasion of Vanmahotsava. The Principal of the Vidyalaya asked the forest department to provide plants. It was decided that each student has to plant an equal number of trees on both days. On the first day, all the participants planted 5 trees each. .The number of boys and girls who participated was in the ratio of 5x:4x.i). If the number of trees planted by the students on the first day was 5400.
We Know, Each Student Has Planted 5 Plants on First day So, Girls And Boys Ratio are 5x : 4x , Thus Total Students Are 9x .NOw, This 9x Planted 9x × 5 ⇒ 45x Trees on First Day.
45x = 5400 ⇔ x=120
So, The Number Of Boys Are 5x = 5 * 120 ⇒ 600Boys
And, The Number of Girls Are 4x = 4 * 120 ⇒ 480Girls
ii). the total number of students who participated in this program is 600 boys + 480 Girls = 1080 Students.
iii). If the total number of trees planted on the second day was 7560. We Know Every Student Plant Equal Number Of trees on each day.
So, 1080 Students Planted 7560 Plants
Therefor, each Student Planted 7560/1080 = 7 Trees Each On Second day.
Using the quotient rule, what is the derivative of the function f(x)=(3x-5)/(5x+2)?
Answers
Answer:
[tex]\frac{31}{(5x+2)^2}[/tex]
Step-by-step explanation:
See image for quotient rule
f(x)= numerator = 3x-5
g(x)= denominator = 5x+2
so we have
[tex]\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}[/tex]
Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line
that passes through the points (4, 8) and (6, 12)?
A. parallel
B. neither perpendicular nor parallel
C. same line
D. perpendicular
Answers
B neither perpendicular nor parallel
Answer:
B
Step-by-step explanation:
B. neither perpendicular nor parallel
because, the line are not crossing nor are they aside from each other.
I need help...........
Answers
Answer:
4
Step-by-step explanation:
Break down the shape into a rectangle and a triangle
To find the base of the triangle subtract
(3x-1)-(x+1)= 2x-2
which means the area of the triangle is
.5(2x-2)(x-1)= x²-2x+1
Let's then find the area of the rectangle
(x+1)(x-1)= x²-1
Take the sum and set this equal to 40
(x²-2x+1)+(x²-1)=40
simplify...
2x²-2x-40=0
x²-x-20=0
(x-5)(x+4)=0
Reject the negative answer and get x=5
Then it's just a matter of plugging in x=5 for the height (x-1)
5-1=4 which is the final answer
Answer:
4 cm.
Step-by-step explanation:
Area formulas:
A(Rectangle) = bh
A(Triangle) = 1/2bh
A(Trapezium) = A(Rectangle) + A(Triangle)
Use the information given and substitute the values to solve for the missing height:
A(Rectangle) + A(Triangle) = A(Trapezium)
bh + 1/2bh = 40
(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40
x² - 1 + x² - 2x + 1 = 40
2x² - 2x = 40
2x² - 2x - 40 = 0
Use Quadratic Formula to solve for x:
a = 2, b = -2, c = -40
x = (-b ± √(b² - 4ac))/2a
x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)
x = (2 ± 18)/4
x = 5 and x = -4
Since we cannot have a negative height, we use x = 5:
h = (5) - 1 = 4
Therefore, the height of the trapezium is 4 cm.
pls help me solve pls show how you got the answer
Answers
Answer:
A
Step-by-step explanation:
270/9=30
The pair of triangles below have two corresponding parts marked as congruent. What additional information is
needed for a HL congruence correspondence?
A. ∠M≅∠H
B. LM≅JK
C. LM≅JH
D. LN≅JK
(there is a line above the letters besides a)
Answers
Answer:
C. LM ≅ JH
Step-by-step explanation:
The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:
1. Both must have a corresponding leg that are congruent to each other.
In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.
2. The hypotenuse of one triangle must be equal to that of the other.
We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.
Therefore, the additional information required would be:
LM ≅ JH
A video game has a wheel that turns one degree every time the figure pops a ballon then figure has popped 40 balloons how many degrees has the wheel turned?
Answers
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answers
Answer:
3 < x
Step-by-step explanation:
3(8 – 4x) < 6(x – 5)
Divide each side by 3
3/3(8 – 4x) < 6/3(x – 5)
(8 – 4x) < 2(x – 5)
Distribute
8-4x < 2x-10
Add 4x to each side
8-4x+4x < 2x-10+4x
8 < 6x-10
Add 10 to each side
8+10 < 6x-10+10
18 < 6x
Divide by 6
18/6 < 6x/6
3 < x
If g(x) = x^2 - 3, find the value of:
a) g(5)
b) g(-2)
c) g(a+1)
Answers
Answer:
this answer kajjsnnsnsnsnsnsnsnsnssnnsnssnjxxjxnxnxxnndnsndnsndndnd
Answer
g(5)=22
g(-2)=1
g(a+1)=(a+1)^2-3
g(a+1)= (a+1)(a+1)-3
g(a+1)=a^2+2a-2
Step-by-step explanation:
if you wanted to solve for a you would need to use the quadratic formula and solve for a.
Suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 80%. Which of these
groups of numbers could represent a success?
A. 0, 1, 2, 3, 4, 5, 6, 7, 8
B. 0, 1, 2, 3, 4, 5
C.0, 1, 2, 3, 4, 5, 6, 7
D. 0, 1, 2, 3, 4, 5, 6
Answers
========================================================
Explanation:
There are 7 numbers in the set {1,2,...,6,7}. Then we add on 0 to get to the 8th number. So there are 8 numbers overall listed in bold above.
Since the sample space is {0,1,2,...,8,9}, we have 10 digits listed here. So the probability of success is 8/10 = 0.80 = 80%
Side note: The values 8 and 9 would represent a failure. We have 2 failures out of 10 so we get 2/10 = 0.20 = 20%
The groups of numbers could represent a success 80 percent is {0, 1, 2, 3, 4, 5, 6, 7}. Therefore, option C is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Here, the sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
To simulate an event that has a probability of success of 80%.
Now, 8/10 ×100
= 8×10
= 80%
Therefore, option C is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ7
Math help please show work thanks
Answers
Problem 3
If we peel off the sticker off the side of a 3D cylinder, then we can form a rectangle (imagine we're able to peel it off completely without any folds or tears).
The length of the rectangular sticker is the distance around the curved circular base. So it's C = pi*d = pi*1.5 = 1.5pi inches across. The height of the rectangle is the same as the height of the cylinder. So the height is 5 inches.
The area of the rectangle is: length*width = (1.5pi)*(5) = 7.5pi
That's the exact area in terms of pi
If you use the approximation pi = 3.14, then we'll get 7.5*3.14 = 23.55 square inches as the final answer
==================================================
Problem 4
The square base has area of 38*38 = 1444 square cm
The side panels are 4 identical triangles. Each triangle has area base*height/2 = 38*55/2 = 1045 square cm. Meaning that all four triangles combine to a lateral surface area of 4*1045 = 4180 sq cm.
The total surface area is: 1444+4180 = 5624 square cm.
When you wrote 55*38*2+38*38 on your paper, you had the right idea because that evaluates to 5624
Question is in photo.
Thanks
Answers
Answer: yes
Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.
Answer:
Yes
Step-by-step explanation:
The correlation of the dots is very strong although it can't be a straight line.
Hope this helps
What is the area is square feet?
Answers
Answer:
A = 24
Step-by-step explanation:
Figure shown is a trapezoid
Area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]
where a and b = base lengths and h = height
The trapezoid shown has the following dimensions
Shorter base length (a) = 6
Longer base length (b) = 10
Height (h) = 3
Using these dimensions , plug in the values into the area formula
A = [tex]\frac{6+10}{2} 3[/tex]
add 6 + 10 = 16
[tex]A=\frac{16}{2} 3[/tex]
divide 16/2 = 8
[tex]A = (8)(3)[/tex]
multiply 8 times 3
A = 24
Answer the question in the picture
Answers
Answer:
(10^3)^2
Hope this answer is right!!
Step-by-step explanation:
(10^3)^2
(10)^3*2
(10)^5
Why would there be a difference between percentages with the Empirical Rule and the actual percentages?
Answers
Answer:
Given that [tex]\int\limits^a_b {\frac{1}{2\pi } e^{-1/2} x} \, dx[/tex] is not the easiest equation to solve, and that
the values at the convenient ± 1 sigma,± 2 sigma,± 3 sigma are irrational
using the "rule-of-thumb" "empirical rule" is typically "close enough"
given that the whole probability analysis by definition has some uncertainty in it
Step-by-step explanation:
The percentages of a normal distribution data lies within three standard deviations of its mean for empirical rule while it's definite for actual percentages.
What is the empirical rule?The empirical rule is also referred to as the 68-95-99.7 rule and it can be defined as a rule in statistics which states that:
The middle 68% of a normal distribution would be within one standard deviation of its mean (µ ± σ).The middle 95% of a normal distribution would be within two standard deviations of its mean (µ ± 2σ).The middle 99.7% of a normal distribution would be within three standard deviations of its mean (µ ± 3σ).In Statistics, there is a difference between percentages calculated by using the empirical rule and the actual percentages because a normal distribution data lies within three standard deviations of its mean for the former but it is definite for the latter.
In conclusion, the empirical rule is more important to researchers and statistician because it can be used to determine outcomes and gain insight even when all the data aren't available.
Read more on normal distribution here: https://brainly.com/question/4637344
#SPJ6
What additional information could be used to prove AABC = AMQR using SAS? Select two options.
Answers
Answer:
To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent. From the diagram, it is shown that CA is congruent to RM. From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).
A teacher has 40 learners in her class. She chooses 1% to clean her board. Is this possible?
Answers
Step-by-step explanation:
No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.
During a sale, a store offered a 20% discount on a stereo system that originally sold for $320. After the sale, the discounted price of the stereo system was marked up by 20%.
Answers
Answer:
354 $ is correct
Step-by-step explanation:
your v id dead
My son wants to celebrate his birthday at the bowling alley with a few of his friends. He has $70 to spend. The bowling alley charges a flat fee of $40 for a private party and $4.50 per person for shoe rentals and unlimited bowling.
The maximum number of people he can pay for at the bowling alley is __.
Answers
Answer: he can pay for 6 people total (including him)
Step-by-step explanation:
first lets subtract the flat fee from the total amount of money he has
70 - 40 = 30
now lets divide 30 by $4.50 to see how many people he can pay for
30 / $4.50 = about 6.5
obviously you cant pay for half a person so he can invite 5 people (he also has to pay for himself)
Answer:
6 people
Step-by-step explanation:
(5a + 2)(a + 4) =
(Answer should be a polynomial in standard form.
Answers
Answer:
(5a+2)(a+4)
=5a^2+20a+2a+8
=5a^2+22a+8
Answer:
[tex]5 {a}^{2} + 22a + 8[/tex]
Step-by-step explanation:
[tex](5a + 2)(a + 4) \\ 5a(a + 4) + 2(a + 4) \\ 5 {a}^{2} + 20a + 2a + 8 \\ 5 {a}^{2} + 22a + 8 \\ [/tex]
42, 43, 44, 44, 49, 40, 39
What is the mean?
Answers
Answer:
43
Step-by-step explanation:
To find the mean, add up all the numbers
(42+ 43+ 44+ 44+ 49+ 40+ 39)=
301
Then divide by the number of terms
301/7
43
Answer:
mean = 43
Step-by-step explanation:
Mean is given by
mean = sum of all numbers / total no. of terms
substitute the values
mean = 42 + 43 + 44 + 44 + 49 + 40 + 39 /
Divide ,
mean = 301 / 7
mean = 43
Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75
Answers
Answers:
mean = 79mode = nonemedian = 81.5=================================================
Explanation:
To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores
Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632
Divide that over n = 8 to get 632/n = 632/8 = 79
The mean is 79
You have the correct answer. Nice work.
---------------
The mode is the most frequent value.
In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.
---------------
To get the median, we need to sort the items from smallest to largest
{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}
Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5
The values 76,87 are in slots four and five in that order. Add them up and divide by 2: (76+87)/2 = 163/2 = 81.5 is the median
Which statement about the angles in the figure is true?
mZ3+ m25 = 180°
mZ1 + m28 = 90°
m28+ m29 = 90°
m27 +mZ10 = 180°
Answers
Answer:
the second one
Step-by-step explanation:
its the sum oh 90
Which of the following equations
has - 4 as a
as a possible value of p
Answers
Answer:
You need to add the eqautions
Step-by-step explanation:
Find the ratio of sin (A)
Answers
Answer:
sin (A) = 8/17
Step-by-step explanation:
Sine = opposite/hypotenuse
Sin (A) = 16/34
Sin (A) = 8/17
Answer:
sin (A) = 16/34
Step-by-step explanation:
SOH (sine = opposite/adjacent)
Matthew was assigned 234 math problems over the weekend. He completed five times as many problems on Saturday than Sunday. How many math problems did Matthew solve on Saturday?
Answers
Answer:
[tex]195[/tex]
Step-by-step explanation:
Let [tex]a[/tex] represent the number of math problems Matthew solved on Sunday. From the problem, we know he solved [tex]5a[/tex] problems on Saturday.
Therefore, we have:
[tex]5a+a=234,\\6a=234,\\a=39[/tex]
Substitute [tex]a=39[/tex] into [tex]5a[/tex]:
[tex]5(39)=\boxed{195}[/tex]