Answer:
x = 7
Step-by-step explanation:
Given the equations
2x + 3y = 17 → (1)
2y + z = 1 → (2)
5x + 10z = 25 → (3)
Rearrange (2) expressing z in terms of y
z = 1 - 2y
Substitute z = 1 - 2y into (3)
5x + 10(1 - 2y) = 25
5x + 10 - 20y = 25 ( subtract 10 from both sides )
5x - 20y = 15 → (4)
Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term
40x + 60y = 340 → (5)
15x - 60y = 45 → (6)
Add (5) and (6) term by term to eliminate y, that is
55x = 385 ( divide both sides by 55 )
x = 7
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
From the equation [tex]2y + z = 1[/tex] , we can separate [tex]z[/tex] so that [tex]z = 1-2y[/tex].
The equation [tex]5x+10z = 25[/tex] can then be turned into:
[tex]5x+10(1-2y) = 25[/tex]
[tex]5x+10-20y = 25[/tex]
[tex]5x -20y = 15[/tex]
[tex]x-4y = 3[/tex] (divide by [tex]5[/tex] on both sides)
We can now use elimination to solve for one of the variable:
[tex]2(x-4y) = 2\times3[/tex] (times 2 to get [tex]2x[/tex] for elimination)
[tex]2x-8y=6[/tex]
[tex]2x+3y-(2x-8y) = 17-6[/tex]
[tex]11y = 11[/tex]
[tex]y = 1[/tex]
Now, we can use substitution to solve for [tex]x[/tex]:
[tex]2x+3y = 17[/tex]
[tex]2x+3 = 17[/tex]
[tex]x = 7[/tex]
Hope this helps :)
Ram can travel 20km by a motorcycle in 1 litre of petrol.how far can he travel from 5 litres of petrol?Also,how much petrol will be needed to travel 750km.
Answer:
On 5 liters of petroleum he can go 100km.
He needs 37.5 liters of petroleum to go 750km.
Step-by-step explanation:
He goes 20km on 1 liter. Now we must find how far he can go on 5 liters.
1 * 5 = 5
20 * 5 = 100
The reason we multiplied was because we had to multiply 1 by 5 to get the number of liters of petroleum and what you to one side you must do to the other.
To find how many liters are needed to go 750km you must divide:
750/20 = 37.5
He needs 37.5 liters of petroleum to travel 750km.
Hope this helps! :)
what is the missing length???
Answer:
25
Step-by-step explanation:
144/60 = 2.4
60/2.4 = x
x = 25
Find the quotient: 189 divided by 9
1. 21
2. 22
3. 23
4. 24
The quotient is 21. the correct answer is option 1) 21.
To find the quotient of 189 divided by 9, we divide 189 by 9.
When dividing 189 by 9, we find that 9 can be subtracted from 189 a total of 21 times without going into negative values. Therefore, the quotient is 21.
So, the correct answer is option 1) 21.
When we divide 189 by 9, the result is 21, which means that 21 is the number of times that 9 can be subtracted from 189 without remainder. The quotient represents the whole number part of the division, indicating the number of groups of 9 that can be formed from 189.
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which set of points below lie on a line that is parallel to AB?
a=(-4,5) and (6,-2)
b=(-5,4) and (5,-2)
c=(1,0) and (5,2)
d=(-3,-4) and (0,1)
Answer:
The answer is (1,0) and (5,2)
Step-by-step explanation:
Since they are asking for parallel lines that means the slopes of the lines has to be the same line AB slope is 1/2 if you find the slope of (1,0) and (5,2) it will be the same as 1/2
Can some please help me?? It’s do today also can you guys explain how to do it because it’s still More questions and I actually wanna learn how to do it
Answer:
-3
Step-by-step explanation:
Slope of a line is "rise over run". Pick two points on the line. For example, (0,4) and (1,1). As we move from the first point to the second, we move down 3 units and right 1 unit. So the slope is -3/1 = -3.
Here's an algebraic approach. If the two points are (x₁, y₁) and (x₂, y₂), then the slope is:
m = (y₂ − y₁) / (x₂ − x₁)
Plugging in our two points:
m = (1 − 4) / (1 − 0)
m = -3
Answer correctly please !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
74º
Step-by-step explanation:
Ray TV bisects ∠RTS, so ∠RTV=∠STV=(16x-6)ºWe also know that ∠RTS=(26x+18)ºSo, (16x-6)º+(16x-6)º=(26x+18)ºWe don't need parenthesis, 16x-6+16x-6=26x+18Combine like terms, 32x-12=26x+18Add, 32x=26x+30Subtract, 6x=30Divide, x=5∠RTV now is [16(5)-6]º=(80-6)º=74ºFind the slope and the y-intercept of the graph. Can you help me find them? will give BRAINLEST to whoever answers :)
Please help! This is my last question on the homework and it’s taking forever for me to do
Answer: y = x + 40
Step-by-step explanation: y = x + 40
First of all, the line starts at the y-axis on 40, which means the y-intercept is 40.
Second, the slope, Rise over run. y2 - y1 / x2 - x1, which is = to 50 - 40 divided by 15 - 5. That is 10 over 10 or 10/10. The slope of that is 1 so the slope is just x.
There are a few possible answers and they are
y - 40 = 1(x - 0)
y - 50 = 1(x - 10)
y - 60 = 1(x - 20)
=================================================
Explanation:
Pick two blue points from the graph. I recommend points that land on grid intersections so we can read the coordinates easily. Two such points are (0,40) and (10,50)
Use the slope formula to find the slope
m = (y2-y1)/(x2-x1)
m = (50-40)/(10-0)
m = 10/10
m = 1
The slope is 1.
Note how I subtracted the y coordinates, then did the same for the x coordinates in the same order, and divided the differences.
------------------
Since your teacher wants the answer in point slope form, we'll use this as our template
y - y1 = m(x - x1)
where m is the slope and (x1,y1) a the point the line goes through. We have infinitely many choices for (x1,y1) since there are infinitely many points on this line.
------------------
If we use (x1,y1) = (0,40), then we get
y - y1 = m(x - x1)
y - 40 = 1(x - 0)
which is one possible answer
------------------
If we use (x1,y1) = (10,50), then we get
y - y1 = m(x - x1)
y - 50 = 1(x - 10)
which is another possible answer
------------------
If we use (x1,y1) = (20,60), then we get
y - y1 = m(x - x1)
y - 60 = 1(x - 20)
which is another possible answer
------------------
So again there are multiple answers possible. The slope stays the same each time, but x1 and y1 change depending on which point you choose.
convert the equation into the slope-intercept.
Answer:
Not sure what you're equation is but this is how you would convert to slope intercept form:
Step-by-step explanation:
y=mx+b is slope intercept form where m is the slope and b is the y intercept. the x is just x so don't change that. graphing your equation might help you to convert. Hope this helps if I had the equation it would help more. :)
what is 0.4 repeting as afraction
Answer:
2/5
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
When you go to do a repeating decimal, put whatever repeats over 9. For example lets say we want .49494949 repeating it would be 49/99
however in this case we want 4 to repeat so it would be 4/9.
Please help this is do soon!:))
Is it:
A: g(x) =f(x) +2
B: g(x) =f(x) -4
C: g(x) =1/4f(x)
D: g(x) =4f(x)
Answer:
i think it is c but sorry if im wrong
Step-by-step explanation:
A fire department’s longest ladder is 110 feet long, and the safety regulation states that they can use it for rescues up to 100 feet off the ground. What is the maximum safe angle of elevation for the rescue ladder?
Answer:
65.4 degrees
Step-by-step explanation:
sin theta = 100/110
theta = inverse sin (100/110)
theta = 65.4 degrees
Hope this helped!
The required maximum safe angle of elevation for the rescue ladder is 65.4°
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
here,
Perpendicular distance = 100 ft
hypotenuse length = 110 ft
SinФ = perpendicular height/hypotenuse length
sin Ф= 100/110
Ф = inverse sin (100/110)
Ф = 65.4 °
Thus, the required maximum safe angle of elevation for the rescue ladder is 65.4°
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Does anyone know the answers this is Gina Wilson
Answer:yes
Step-by-step explanation:
The equation y-2= 5/4 (x + 8) represents the cost (in dollars) of making your own fruit juice (fluid ounces) a. What is the slope of the line? Interpret the slope in the context of this situation. b. Write the equation as a linear function (simplify to slope- intercept form). c. Use the linear function in part (b) to determine the base cost of making your own fruit juice.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Find the value of x that makes FGH~JKL
Answer:
Required Answer:-[tex]{:}\dashrightarrow [/tex][tex]\sf x-4=20[/tex]
interchange both sides[tex]{:}\dashrightarrow [/tex][tex]\sf x=20+4 [/tex]
[tex]{:}\dashrightarrow [/tex][tex]\sf x=24[/tex]
The value of x is 30 if the triangles FGH and JKL are similar after using the property of the similarity triangles.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that:
The triangle FGH and JKL are shown in the picture.
(x + 35)/20 = (x - 4)/8
Cross multiplication:
8(x + 35) = 20(x - 4)
8x + 280 = 20x - 80
20x - 8x = 280 + 80
12x = 360
x = 360/12
x = 30
Thus, the value of x is 30 if the triangles FGH and JKL are similar after using the property of the similarity triangles.
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Which numbers are solutions of x2+20=9x+2?
Choose exactly 2 awnsers.
2
3
5
6
Answer:
my answer is gonna be 2 and 5
Tim has 4 cheese sandwiches, 3 turkey sandwiches, and 2 tuna sandwiches to choose from. He picks two sandwiches at random, one at a
time, without replacing them. What is the probability that Tim picks a cheese sandwich first and a tuna sandwich second?
A) 1/9
B) 1/3
C) 2/3
D) 3/4
Answer:
C 2/3
Step-by-step explanation:
this is because there are three different types of sandwiches and he picks two out of the three.
A european business has offered to donate to the Salvation Army, but they are requiring a detailed report on expenditures. Chase and his brother are tasked with converting distances measured in miles to kilometers. To estimate the number of kilometers, Chase takes the number of miles, doubles it and then subtracts 20% of the result. Alex, Chase's brother, first divides the number of miles by 5 and then multiplies the result by 8.
Answer:
Both processes are correct.
Step-by-step explanation:
Let the mile taken by Chase be 10miles .
He doubles it so it will be 20 and
20% of 20 will be 4
20-4 = 16km
Now Alex operations
(10/5 )*8 = 2*8= 16 km
In both cases the answer will be the same
1 mile = 1.60034 km
Now 10 miles = 16.00 34 km
which is the same as above.
Both the processes are correct.
1. Los hoteles están clasificados por estrellas de 1 a 5 de acuerdo con la ubicación, atención servicios y lujos que proporcione al turista. En una ciudad se hizo la relación de hoteles según la siguiente lista de estrellas: 3, 3, 4, 3, 4, 3, 1, 3, 4, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 4, 1.
Answer:
El orden de menor a mayor es:
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4
La mediana es 3.
Step-by-step explanation:
En la ciudad se hizo la relación de hoteles según la lista de estrellas, la cual se ordena de menor a mayor. Entonces, el orden determinado es:
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4
La mediana de un conjunto de números es el número medio en el conjunto, una vez que los números han sido ordenados de menor al mayor, o, si hay un número par de datos, la mediana es el promedio de los dos números medios.
En este caso el conjunto posee 38 datos. Cuando el número de observaciones es par es posible calcular la mediana como:
[tex]Mediana=\frac{n+1}{2}[/tex] donde n es la cantidad de observaciones.
Entonces:
[tex]Mediana=\frac{38+1}{2}[/tex]
Mediana= 19.5
Esto indica que el valor de la mediana se encuentra en la observación cuya posición esta entre la 19 y la 20. Entonces el valor de la mediana será una media de los valores que están en la posición 19y 20. Estos números son 3 y 3. La media entre estos dos números es:
[tex]\frac{3+3}{2} =3[/tex]
La mediana es 3.
Pregunta completa:
Los hoteles están clasificados por estrellas de 1 a 5 de acuerdo con la ubicación, atención servicios y lujos que proporcione al turista. En una ciudad se hizo la relación de hoteles según la siguiente lista de estrellas: 3, 3, 4, 3, 4, 3, 1, 3, 4, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 4, 1.
Ordena el conjunto de estrellas y encuentra la
mediana (Yo).
Responder:
3
Explicación paso a paso:
Dados los datos:
3, 3, 4, 3, 4, 3, 1, 3, 4, 3, 3, 3, 2, 1, 3, 3, 3, 2, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 2, 2, 4, 1.
Datos reorganizados:
1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4
Mediana: 0.5 (n + 1) th término
Mediana = 0.5 (38 + 1) th término
Mediana = 0,5 (39) término
Mediana = 19,5 a término
(Término 19.5 + Término 20) = (3 +3) / 2 = 3
La mediana = 3
whats 45 times 5 ? i need help :) and take some time out of your day to read this. you are perfect and wanted. I know school can be hard but don't give up. I believe in you. All of your imperfections are perfect to me and I think that you deserve the world. keep your head up girls ,guys, and non binary pals! much love!
Answer:
225
Step-by-step explanation:
solve the equation, due today !!
I need the help I’m stuck and need the answer
help 6th grade math i will give brainliest foolish answers will get reported
Answer:
The answer is B.
Can I have Brainliest?
At Cass High School, 2/3 of the students play a sport. Of the students who play a sport, 2/5 play football. What fraction of the students at Cass High School play football? *
Answer:
4/15
Step-by-step explanation:
2/3 play sports
2/5 play football
Of the 2/3 that play sports, 2/5 of them play football
2/3(2/5) = 4/15
!!QUICK PLEASE!!
consider the following table of values:
(picture below)
write m(x) as a transformation of f(x)
a. m(x) = f(x) + 2
b. m(x) = f(x + 2)
c. f(x) = m(x) - 2
d. f(x) = m(x - 2)
Answer:
I can't see the picture?
The hockey team played 82 regular season
games last year. If they won 44 games, what is
the ratio of wins to losses?
Answer:
42
Step-by-step explanation:
tou udive them ia, preety sure
Please help ASAP:) is really need some help!
Answer:
correct answer is
b
HL congruence
Answer:
B
Step-by-step explanation:
BRAINLIEST PLS
Water makes up about 71% of Earth's surface, while the other 29% consists of continents
and islands. 96% of all Earth's water is contained within the oceans as salt water, while the
remaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.
If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volume
of salt water? What is the volume of fresh water? please help
Answer
1.386 billion.
Step-by-step explanation:
Function or not a Function?
Nina can stitch 3 of a dress in 4 hours. If drepresents the number of dresses and h represents the number of hours, which equation
represents this proportional relationship?
OA d=6
B.
3d=4h
oc. d = 13h
D.
d=4
OE. d=12
Answer:
C. d= 1/6h
Step-by-step explanation:
2/3 dress in 4 hours
We need to find out how much of a dress can be finished per hour.
2/3 /4 = 2/12
2/12 ---> 1/6
d= 1/6h
Brainliest is much appreciated!