Answer:
x = -47/6
Step-by-step explanation:
Simplify both sides of the equation : 13x + 20 = 7x - 27
Subtract 7x from both sides : 6x + 20 = -27
Subtract 20 from both sides : 6x = -47
Divide both sides by 6 : 6x/6 = -47/6
Answer : x = -47/6
What is the slope of the line that passes through the points (−4,−1) and (18,−2) ?
A. − 3/14
B. 1 /14
C. 22
D. − 1/22
Answer:
D
Step-by-step explaination:
what does (-x)+(-x)+(-x)=
Answer: -3x
Step-by-step explanation:
(-x)+(-x)=-2x
-2x+(-x)=-3x
[tex]\tiny \displaystyle \bf \red{\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta + \gamma + \theta - \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
Cʜᴀʟʟᴇɴɢᴇ❤️❤️❤️❤️❤️
Step-by-step explanation:
[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta + \gamma + \theta - \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
According to symmetry[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta + \gamma - \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha + \beta - \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ \alpha - \beta + \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
[tex]\displaystyle \sf \red{I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ - \alpha + \beta + \gamma + \theta + \eta}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
Take sum of 5 integrals[tex]\displaystyle \sf \green{5I=\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \frac{ 3(\alpha + \beta + \gamma + \theta + \eta)}{\alpha + \beta + \gamma + \theta + \eta} \: d \alpha d \beta d \gamma d \theta d \eta}[/tex]
[tex]\displaystyle \sf \pink{5I=3\int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \int^{3}_{1} \: d \alpha d \beta d \gamma d \theta d \eta}
[/tex]
[tex]\large \sf \green{5I=3( {2)}^{5} }[/tex]
[tex]\large \sf \pink{I={ \frac{96}{5} }^{} }[/tex]
Answer:
I = 96/10 = 96:10 is your correct answer.
What will be the velocity of a when it travels 300 min 30 second?with explanation.
The expression 13x + 5 represents the number of marbles you have after purchasing 13 bags of marbles.
What does the term 13x represent?
What does 5 represent?
What does x represent
What value is equivalent to 5 + [5 (4 + 2)]?
35
45
60
0110
Help pls thx
Answer:
45 5+[5(4+2)]?
Step-by-step explanation:
i hope is helped:)
please help me mathematics = x²+2x-24=0
Answer:
x=4
or
x=-6
Step-by-step explanation:
did you know u can solve that equation on your calculator without much struggle?
Answer:
Factors = > (x - 4) (x + 6)Value = > x = 4, -6Step-by-step explanation:
= > x^2 + 2x - 24
= > x^2 + 6x - 4x - 24
= > x(x + 6) - 4(x + 6)
= > (x - 4) (x + 6)...ans
x = -6 , 4
Hope it helps you!!-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence
Answer:
[tex]n^2 -3n - 6[/tex]
Step-by-step explanation:
Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).
Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).
Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of [tex]n^2[/tex] is 1, so 1[tex]n^2[/tex] or just [tex]n^2[/tex] .
If you write out the values of [tex]n^2[/tex], you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.
n = 1, 2, 3
x = -8, -8, -6
[tex]n^2[/tex] = 1, 4, 9
Work out the difference between [tex]n^2[/tex] and x:
1 - -8 = 9
4 - -8 = 12
9 - -6 = 15
This gives you yet another linear sequence, 9, 12, 15.
Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.
Because [tex]n^2[/tex] is greater than x, you need to take 3n + 6 away from [tex]n^2[/tex].
This gives [tex]n^2[/tex] - (3n+6), so the final answer is:
[tex]n^2[/tex] - 3n - 6.
Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.
The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units
Given the coordinate (15, -21) and the line 5x + 2y = 4
In order to get the point on the line 5x + 2y =4, we can a point on the line
Let x = 0
5(0) + 2y = 4
2y = 4
y = 2
The point (0, 2) is on the line.
Find the distance between the point (15, -21) and (0, 2) using the distance formula
[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]
Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units
Learn more here: https://brainly.com/question/22624745
Janice bought 4 oranges for $3.40. what is the unit price.
(PHOTO) Please help me need this done by tomorrow thank you.
Answer:
2x+78=5x+15
78-15=5x-2x
3x=63
x=21
42 out of 56 students have cell phone. What percent of students said they owned a cell phone
Answer:
75%
Step-by-step explanation:
now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%
Write the following sentence as an equation. Use x to represent "a number."
The product of 2 and the sum of
6 and a number is -40.
The equation is a
(Do not simplify.)
Answer:
Step-by-step explanation:
5×(-2+x)=-20
-10+5x=-20
5x=-20+10
5x=-10
x=-10/5
x=-2
what is x over 5 = -3 find x value
5*-3=-15
x=-15
hope this helps
Answer:
x = -15
Step-by-step explanation:
[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]
Trey has bought 10 pounds of dog food. He feeds his dog
pounds for each meal. For how many meals will the food last?
Write your answer in simplest form
how many pounds does he feed his dogs for each meal?
At the movies, tickets cost $16.50 for adults and $5.50 for kids under 12. How many total tickets would someone get if they purchased 11 adult tickets and 16 kids tickets? How many total tickets would someone get if they purchased aa adult tickets and kk kids tickets?
Answer: 27 tickets a+k
Step-by-step explanation:
11+16
y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.
Answer:
See belowStep-by-step explanation:
1. Graph each inequality2. Take the intersection of shaded regions as solutionAttached each inequality separately and the solution showing the intersection below.
y > -1/3x + 2
Find the x - and y - intercepts, connect them with dotted line, shade the area above the linex < 4
Draw a dotted line x = 4, shade the area to the left of the lineHow many solutions are there to the equation below?
6x + 33 = 6(x+6)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex]6x + 33 = 6(x + 6)[/tex][tex]6x + 33 = 6x + 36[/tex]Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~
Answer:
there are zero solutions
\_(-_-)_/
i asked g o o g l e thats what it said
If Lauren can run
150 feet in 1/3 of
a minute. What
is her unit rate in
feet per minute?
Answer:
450
Step-by-step explanation:
150* 3
hope this helps
Answer:
450
Step-by-step explanation:
150 feet in 1/3 min
? ----- 1 min
150 * 1 = x * 1/3
x = 150 * 3
= 450
19+0.12x=0.16x
This whole entire unit is pretty simple, but apparently my brain won't think.
Could you please help?
Answer:
0.04x = 19
x = 475
Step-by-step explanation:
19 + 0.12x = 0.16x
Take away 0.12x from both sides
19 = 0.04x
Divide 19 by 0.04 to find x
x = 475
Answer:
475
Step-by-step explanation:
First, you have to simplify the equation by moving all the like terms to one side of the equal sign.
This entails the taking of 0.12x to the right side of the equal sign.
Remember, when we take anything over the equal sign if it was a positive sign like in this case, it becomes a negative one and the opposite is true if the sign was negative.
So we have
19=0.16x - 0.12x
We then simplify further and get the equation
19=0.04x
To obtain the true value of x, we divide both sides of the equation by 0.04x as follows:
19/0.04=0.04x/0.04
We then find that
x= 475
During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.
Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.
For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:
[tex]E(X) = np[/tex]
In this problem:
Two shots, hence [tex]n = 2[/tex]He makes 53.5% of the shots, hence [tex]p = 0.535[/tex].Then:
[tex]E(X) = np = 2(0.535) = 1.07[/tex]
A similar problem is given at https://brainly.com/question/24261244
if you get it right ill mark brainliest
Answer:
angle m1 = 40°
Step-by-step explanation:
The first angel presented to the left is 40° if you take that and flip it its the same as M1 therefore its 40°.
Your friend tells you that at 1:00 pm the temperature outside was 67 degrees Fahrenheit and at 5:00 pm, that same day, the temperature was 65 degrees Fahrenheit. He also states that the average rate of change of the temperature between 1:00 pm and 5:00 pm increased by 2 degrees Fahrenheit. Determine if your friend is correct ?
Answer:
Incorrect
Step-by-step explanation:
Average rate of change is
(65 - 67) / (5:00 - 1:00) = -½°/hr
I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.
Answer: 27 students
Step-by-step explanation: 6 x 4 = 24
24 + 3 = 27
Answer:
27 Students in the class
Step-by-step explanation:
First we have to find out how many people are in the 6 groups of 4. 6x4=24
And of course 1 group of 3 people. Add them together to get 27 people.
24+3=27
HELP PLS ASAP!!!!!!! I WILL GIVE BRAINLIEST, 5 STARS, AND A THANKS PLS HELP
Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 1/2 of the first box and 2/3 of the second box. How many boxes were left over?
A. 1/2 box
B. 3/5 box
C. 5/6 box
D. 1 2/5 box
Answer:
c
brainlest
Step-by-step explanation:
By the way this is not my work
Answer:
Use unit converter.
Step-by-step explanation:
Classify: −4m+21(m−1)≤15m+2(m−1).
Answer:
[tex]\boxed{\sf All\: real\: numbers}[/tex]
Step-by-step explanation:
[tex]\star \:\sf Classify\: -4m+21\left(m-1\right)\le \:15m+2\left(m-1\right)\: \star[/tex]
Apply Distribution law:
[tex]\sf -4m+21m-21\le \:15m+2\left(m-1\right)[/tex]
Combine like terms:
** [tex]\sf \hookrightarrow -4m+21m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:15m+2\left(m-1\right)[/tex]
[tex]\sf 2(m-1)[/tex]
[tex]\hookrightarrow 2m-2[/tex]
-----------------------------------------
[tex]\longmapsto\sf 17m-21\le \:15m+2m-2[/tex]
Combine like terms:
** [tex]\sf 15m+2m=17m[/tex]
[tex]\longmapsto\sf 17m-21\le \:17m-2[/tex]
Add 21 from both sides:
[tex]\longmapsto\sf 17m-21+21\le \:17m-2+21[/tex]
[tex]\longmapsto\sf 17m\le \:17m+19[/tex]
Subtract 17m from both sides:
[tex]\longmapsto\sf 17m-17m\le \:17m+19-17m[/tex]
[tex]\longmapsto\sf 0\le \:19[/tex]
Therefore, the solution of the inequality: All real numbers
_____________________________________________
two improper fractions between 4 and 5
Answer:
[tex] \frac{9}{2} [/tex]
[tex] \frac{13}{3} [/tex]
Find the area of the triangle
= (1/2 × 6 × 4) square units
= (3 × 4) square units
= 12 square units
Answer:The area of the triangle is 12 square units.
Hope it helps.
Do comment if you have any query.
=================================================
Explanation/Solution:First, Identify what is the height and base of the triangle.
[tex] \rightarrow [/tex] Height = 4 units
[tex] \rightarrow [/tex] Base = 6 units
[tex] \\ [/tex]
Now to find the area of the triangle, use the formula:
[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]
Solve.
[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]
[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]
[tex] \rightarrow [/tex] = 12
Therefore, the area of the triangle is 12 units.
=================================================
#CarryOnLearning
Suppose Set A contains 19 elements and Set B contains 69 elements. If the total number elements
in either Set A or Set B is 75, how many elements do Sets A and B have in common?
B u A = 48
B = 45
The part of set B not included in A is B - A∩B = 45 - 7 = 38
Since B u A = 48, A must have 48-38 = 10 elements (3 exclusive of B, 7 shared with B).
------
Alternatively, the inclusion-exclusion principle may be used: A + B - (A ∩ B) = A u B
A + 45 - 7 = 48
A = 48 - 45 + 7
A = 10
NOTE that I'm using A and B to indicate the number of elements in each set, respectively.
More formally, one would write |A| and |B| to indicate the cardinality (number of elements) of the set.