A) 0.21, 0.25, 0.8
B) 3/4, 0.85, 0.857
hope this is helpful!
Find the x and y-intercepts of 3x-4y = 8
Answer:
y intercept is 2
x intercept is -2.6
Step-by-step explanation:
4y=3x-8
4y-3x=8
y/2-x/2.6=1
y intercept is 2
x intercept is -2.6
intercept formula
y/B+x/A= 1
where B and A are intercepts
Answer this correct and I will give you extra points.
Answer:
he didnt subtract each equations on both sides
5y-6=4y+1
-4 -4
y -6=1
+6=+6
y=7
Step-by-step explanation:
hope that wrk
write the tangent of ∠T as a fraction
Answer:
[tex]\tan \angle T = \dfrac{SR}{TS} = \dfrac 43[/tex]
Step-by-step explanation:
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. Write and solve a system of equations to determine the price of each bag of popcorn and the price of each pretzel.
Taking into account the definition of a system of linear equations, the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: price of each bag of popcorn. y: the price of each pretzel.On one hand, Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing a total of $37.25. This is expressed by 2x+5y= 37.25
Zoe went into the same movie theater and bough 8 bags of popcorn and 9 pretzels, costing a total of $102.25. This is expressed by 8x+9y=102.25
So, the system of equations to solve is:
[tex]\left \{ {{2x+5y=37.25} \atop {8x+9y=102.25}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
So, isolating the variable x from the first equation:
2x+5y= 37.25
2x= 37.25 - 5y
x= (37.25 - 5y)÷2
x= 18.625 - [tex]\frac{5}{2}[/tex]y
Replacing in the second equation:
8×(18.625 - [tex]\frac{5}{2}[/tex]y)+9y=102.25
Solving:
8×18.625 - 8×[tex]\frac{5}{2}[/tex]y+9y=102.25
149 - 20y + 9y=102.25
149 -11y= 102.25
-11y= 102.25-149
-11y= -46.75
y= (-46.75)÷ (-11)
y= 4.25
Finally, replacing in x= 18.625 - [tex]\frac{5}{2}[/tex]y and solving you get:
x= 18.625 - [tex]\frac{5}{2}[/tex]×4.25
x= 18.625 - 10.625
x=8
Remembering that x represents the price of each bag of popcorn and y represents the price of each pretzel, you get that the price of each bag of popcorn is $8 and the price of each pretzel is $4.25.
Learn more about system of equations:
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Simplify the expression. Write your answer as a power. 7^5•7^3/7^2
[tex]7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6[/tex]
Select the postulate that is illustrated for the real numbers. 3x + 3 = 3(x + 1) The commutative postulate for multiplication Multiplication by one The distributive postulate The multiplication inverse The addition of zero postulate Commutative postulate for addition The addition inverse postulate
4.5 times 9 times 6.5 please make it a fraction or whole number also no links bots or anything like that please
Answer:
263.25
Step-by-step explanation:
Your welcpme and stay safe
Answer:
fraction; 263.25/100
whole number; 263
Step-by-step explanation:
4.5 × 9 × 6.5;
4.5 × 6.5 = 29.25
29.25 × 9 = 263.25
Pleaseeee help meenpleaseeee!!!!!!!!
Answer:
-5/4
Step-by-step explanation:
4x-5y=10
-5y=-4x-10
-5y/-5=-4/-5-10/-5
y=4/5+2
perpendicular slope is -5/4
See the picture first, thank you.
QUESTIONS::
1. Does each graph represent a linear function? Why?
2. What is the domain of the first graph? second graph?
3. What is the range of the first graph? second graph?
Answer:
1. yes, both lines are straight
2. domain: (-∞ ∞)
3. range: (-∞ ∞)
Find the coordinates of the point 7/10 of the way from A to B
Answer:
D = (9,4) - (-4, -7) = (13,11) where D is length of line between A and B
.7 D = (9.1, 7.7) since .7 * 13 = 9.1 and .7 * 11 = 7.7
Thus we merely need to add these amounts to point A
(-4, -7) + (9.1, 7.7) = (5.1, .7) for the final coordinates
Justin ate 9 out of the last 15 pretzels. What fraction of the pretzels was left ? Write the fraction in simplest form.
my mom gave me 5 dollar and I had 6 dollar and my dad gave me 8 dollar how much money I have?/
HURRY PLS
What is the equation of this line?
y=2x-3
y= -1/2x-3
y= -2x-3
y=1/2x-3
What is the value of x?
Answer:
55
Step-by-step explanation:
As you can see, the length of the outer angle is 125. So, 180 - 125 = 55.
let f(x)=x-3 and g(x)= 3x^2. perform the function operation and then find the domain of the result. (f-g)(x)
Answer:
(f-g)(x) = f(x) - g(x)
= x-3 - (3[tex]x^{2}[/tex])
= x- 3 - 3[tex]x^{2}[/tex]
domain is all real number
Step-by-step explanation:
what is the solution to this equation 4x -6 + 2x =18
Answer:
x=12
Step-by-step explanation:
4x-6+2x=18
2x-6=18
2x=24
x=12
The total number of gallons of water in a tank, w, after t minutes is given in the table and the graph below. What is an equation showing the relationship between w and t? A. w = 2t B. w = 2 + t C. w = 4t D. w = 4 + t
Answer:
C. w = 4t
Step-by-step explanation:
Let's examine the way t and w are related to each other, one point at a time starting with (0, 0). This point really doesn't tell us much, but we do know that this relationship must be proportional since any line that goes through the origin (the point (0, 0)) is proportional. we can rule out B. 2 + t and D. 4 + t since neither of these go through the origin. 2 + t goes through the point (0, 2) and 4 + t goes through the point (0, 4).
Now, we have two options left: A. w = 2t and C. w = 4t. Which one is correct? Well, let's look at the point (1, 4). 1 × 2 is not equal to 4, but 1 × 4 is equal to 4, so C. w = 4t must be the correct option.
We can test this on the rest of the points as well: 2 × 4 = 8 and 3 × 4 = 12. Hopefully that's helpful! If you have questions or need clarification on anything, let me know. :)
how many days would it take to eat an water buffalo
solve for x: 3x-10 = 2(x+6)
Answer:
x = 22
Step-by-step explanation:
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form? Lin walked south, creating a right triangle. Lin walked southwest, creating an obtuse triangle. Lin walked southeast, creating an acute triangle. Lin walked directly east, creating a right triangle.
The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.
We have to determine
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?
According to the question,
Types of Triangle;1. Lin walked south, creating a right triangle-
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 1 is incorrect.
2. Lin walked southwest, creating an obtuse triangle.
When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.
Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.
Thus statement 2 is correct.
3. Lin walked southeast, creating an acute triangle.
Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).
With walking in actuate triangle one can make Lin can not go in his diagonal direction.
Thus statement 3 is incorrect.
4. Lin walked directly east, creating a right triangle.
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 4 is incorrect.
Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.
For more details about the Equation refer to the link given below.
https://brainly.com/question/9719077
Answer:
its B Lin walked southwest, creating an obtuse triangle
Could someone answer this in y=mx+b form please i cannot figure this out 2x-y=4
Answer:
y = 2x - 4.
Step-by-step explanation:
2x - y = 4
Subtract 2x from both sides
- y = -2x + 4
Multiply both sides by -1:
y = 2x - 4.
Answer:
y=-2x+4
Step-by-step explanation:
2x-y=4 - move the 2x to the right side by subtracting 2x from both sides
2x - y = 4
-2x -2x =
-y=-2x+4 - negative variable turns into y, since the negative isn't relevant
y=-2x+4
Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas
Answer:
0.4 kg
Step-by-step explanation:
A proportion can be used to find the amount of sugar.
x/(1.1 L) = (0.1 kg)/(0.275 L)
x = (1.1)(0.1)/0.275 kg = 0.4 kg
Angela needs 0.4 kg of sugar for her biscuits.
The graphs below have the same shape. What is the equation of the graph of gx)?
A. g(x) = (x+4)2
B. g(x) = x2 - 4
C. g(x) = x2 + 4
D. g(x) = (x - 4)
NO LINKS YOU BOTS
Answer:
the answer should be A Hope this helps!
The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?
the height of the box is 9 inches
Answer:
solution given:
total surface area of a box=160 square inches
let length, width, and height be l,b, and h respectively.
according to the question:
l=2b
∴b =[tex]\frac{l}{2}[/tex]
l=h-4
∴ h=l+4
we have
total surface area of a box=160 square inches
2(lb+lh+bh)=160
[tex]2(l*\frac{l}{2}+l(l+4)+\frac{l}{2}*(l+4))=160[/tex]
[tex]2*\frac{l^2+2l^2+8l+l^2+4l}{2}=160[/tex]
[tex]4l^2+12l=160[/tex]
[tex]4(l^2+3l)=160[/tex]
[tex]l^2+3l=\frac{160}{4}[/tex]
[tex]l^2+3l-40=0[/tex]
doing middle term factorization
[tex]l^2+(8-5}l-40=0[/tex]
[tex]l^2+8l-5l-40=0[/tex]
taking common from each two terms
l(l+8)-5(l+8)=0
(l+8)(l-5)=0
either
l=-8[neglected as length is always positive]
or
l=5
now
b=[tex]\frac{5}{2} =2.5[/tex]
h=5+4=9
Step-by-step explanation:
Answer the following question:
7/2h - 3 (5h - 7/2)
Answer:
For easy way
convert to decimals first
3.5h - 3 (5h - 3.5)
Open brackets
3.5h - 15h + 10.5
Answer = 10.5 - 11.5h
A system of two linear equations has one solution. One of the equations is y = 2x + 25. Which could be the other equation? A y = 2x + 25 B y = –2x – 25 C y = 2x – 25 D y = 2x
Answer:
B. y = -2x-25 These lines will intersect
Step-by-step explanation:
y = 2x+25 Which line has one solution to this equation:
A. y = 2x+25 [This is the same line! The solutions are infinite.]
B. y = -2x-25 [These lines will intersect. They'll meet at the corner of -12.5th and Zero streets (-12.5,0)]
C. y = 2x-25 [Same slope, 2. They, also, will never meet. Pity]
D. y = 2x [OMG. Didn't parallel lines ever get the message. Get with the slope and focus on the bliss of intersection.]
===============
[Extra Credit]
y = 2x + 25
y = –2x – 25
-----------
y = 2x + 25
y = -2x - 25
2y = 0
y = 0
--
y = 2x + 25
0 = 2x + 25
2x = -25
x = -12.5
The single solution is (-12.5,0)
If system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A system of two linear equations has one solution.
One of the equations is y = 2x + 25
We need to find the other equation which has one solution
y = 2x+25
This is the same line
The solutions are infinite.
y = -2x-25
These lines will intersect.
The other equation is y = –2x – 25 because this equation is interacting with y = 2x + 25
Hence, if system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.
To learn more on Equation:
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23.
Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ...
Answer:
39, 44, 48
Step-by-step explanation:
Add 5 to the following terms.
Please mark me as the Brainliest, Thank you!
Find the angle measure of MP
Answer:
arc MP = 88°
Step-by-step explanation:
The measure of the inscribed angle MQP is half the measure of its intercepted arc MP , then
arc MP = 2 × ∠ MQP = 2 × 44° = 88°
I need help please!!!!
Answer:
MOREEE
Step-by-step explanation:
PLEASE HELP QUESTION IN PICTURE
Answer:
b = 55
d = 55
Step-by-step explanation:
Part B:
1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.
This means that b + 25 + 100 = 1802. (Solving equation above)
Step 1: Simplify both sides of the equation.
[tex]b + (25+100)=180[/tex] [tex]b + 125 = 180[/tex]Step 2: Subtract 125 from both sides.
[tex]b + 125 - 125 = 180 - 125[/tex] [tex]b = 55[/tex]Therefore, b = 55.
Part D:
1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.
This means that 110 = d + 552. (Solving)
Step 1: Subtract 55 from both sides.
[tex]110-55 = d + 55-55[/tex] [tex]55 = d[/tex]Therefore, d = 55.