Answer:
(6, - [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
Given the 2 equations
3x - 4y = 20 → (1)
4x - 2y = 25 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the y- term
- 8x + 4y = - 50 → (3)
Add (1) and (3) term by term to eliminate y
- 5x = - 30 ( divide both sides by - 5 )
x = 6
Substitute x = 6 into either of the 2 equations and evaluate for y
Substituting into (1)
3(6) - 4y = 20
18 - 4y = 20 ( subtract 18 from both sides )
- 4y = 2 ( divide both sides by - 4 )
y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]
Solution is (6, - [tex]\frac{1}{2}[/tex] )
The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
3x - 4y = 20 ...1
4x - 2y = 25
8x - 4y = 50 ...2
Subtract equation 1 from equation 1, then we have
8x - 4y - 3x + 4y = 50 - 20
5x = 30
x = 6
The value of the variable 'y' will be given as,
3(6) - 4y = 20
18 - 4y = 20
4y = - 2
y = - 0.50
The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).
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What corresponds to the graph below?
Answer:
Step-by-step explanation:
Can you redo the picture
The volume V of a solid right circular cylinder is given by V = πr2h where r is the radius of the cylinder and h is its height. A soda can has inner radius r = 1.5 inches, height h = 6 inches, wall thickness 0.04 inches, and top and bottom thickness 0.07 inches. Use linearization to compute the volume, in cubic inches, of metal in the walls and top and bottom of the can. Give your answer to 2 decimal places.
Answer:
8.20in³
Step-by-step explanation:
Given V = πr²h
r is the radius = 1.5in
h is the height = 6in
thickness of wall of the cylinder dr = 0.04in
top and bottom thickness dh 0.07in+0.07in = 0.14in
To compute the volume, we will find the value of dV
dV = dV/dr • dr + dV/dh • dh
dV/dr = 2πrh
dV/dh = πr²
dV = 2πrh dr + πr² dh
Substituting the values into the formula
dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14
dV = 2π (0.36)+π(1.89)
dV = 0.72π+1.89π
dV = 2.61π
dV = 2.61(3.14)
dV = 8.1954in³
Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)
A ratio table is PROPORTIONAL when SOME columns reduce to the same fraction
true or false pls asap
Answer: true
Step-by-step explanation:
The graph shows a proportional relationship between distance and time.
What is the UNIT RATE of miles to time? *
320
240
160
Distance (mi),
80
8.
2
6
Time (h)
O 80 miles/hour
O 160 miles/ 4 hours
O 0.025 miles/hour
40 miles/hour
O Other:
Answer:
40 miles per hour, since the distance travelled is 80 miles in 2 hours, divide that in half and you have the proportion
Which lines are parallel to 6x + 3y = 2 (Select all that apply)
A.y-1 = 2(x - 1)
B.y-1 =-2(x- 1)
C.12x + 6y = 4
D. y = -2x
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BRAINLIST! I WILL GIVE BRAINLIST!!!
Each of the following tables defines a relationship between an input x and an output y. Which of the following relationships do NOT represent functions?
What is the simplified form of i^14? A. -1. B. 1. C. -1. D. I
Answer:
A
Step-by-step explanation:
Lily says that 1,234.56 = 1 x 10+2 x 102 +3 x 10' + 4 x 10° + 5 x 10-' + 6 x 10-2.
Do you agree? Explain.
Your answer
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[tex]10 + 200 + 30 + 4 + 0.5 + 0.06 = 244.56 \\ [/tex]
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Thus I don't agree.
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In triangle ABC, angle a equals 25°, angle C equals 55°, and a B equals 60
Answer:
7250
Step-by-step explanation:
This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.
To frame a square piece of artwork such as a photo or print, a framing store bases it charge on the perimeter P, in inches, of the frame needed to surround both the artwork and a border around the artwork called a mat. A particular style of frame costs $1.50 per inch, while the glass costs $0.10 per square inch and the mat costs $0.15 per square inch. There is also a flat labor charge of $30. The total charge C for the framing is given by the function C(P) =1.5P+0.25(P4)2+30. In this function, what does the expression 0.25(P4)2represent?
Answer:
Step-by-step explanation:
To frame a square piece of artwork such as a photo or print, a framing store bases it charge on the perimeter P, in inches, of the frame needed to surround both the artwork and a border around the artwork called a mat. A particular style of frame costs $1.50 per inch, while the glass costs $0.10 per square inch and the mat costs $0.15 per square inch. There is also a flat labor charge of $30. The total charge C for the framing is given by the function C(P) =1.5P+0.25(P4)2+30. In this function, what does the expression 0.25(P4)2represent?
Watch help video
William read 15 books in 6 months. What was his rate of reading in months per book?
Answer:
2.5 months
Step-by-step explanation:
hope is right and i help :)
Please someone help!
1. (First Screenshot)
2. (read the second screen shot)
Answer:
Dependent would be the number of cartons and independent would be the size.
Step-by-step explanation:
In direct variation, the constant of variation has the same
value as which of the following.
A. The y-intercept of its line
B. The X - intercept of its line
C. The slope of the line
D. The absolute value of the slope
of the line
Answer:
c. the slope of the line
Step-by-step explanation:
because i just know
The direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
where m is slope of line
c is the y - intercept
Given is the direct variation of a quantity.
The direct variation of a quantity in the equation of a straight line is represented by the slope of a straight line. Mathematically, we can write -
y = mx + c
for y - intercept = [c] = 0, we can write -
y = mx
m = y/x
which is the representation of direct variation.
Therefore, the direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.
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An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?
Answer:
Shaheem paid $76 as his total.
Step-by-step explanation:
He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.
im trying to do a 1k point give away so there gonna be a bit of spam sorry mods. plez forgive me ;-;
Answer:
hi,its ok ur not bothering us:)
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5
Answer:
y = negative two-thirds x + 5
y = -2/3x + 5
Hope this helps :)
Answer:
y = negative two-thirds x + 5
Step-by-step explanation:
What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?
Answer:
Step-by-step explanation:
y = -x + 9
y - 1 = -(x - 5)
y - 1 = -x + 5
y = -x + 6
The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
Here,
The point is given as ( 5, 1 ).
The equation of line is parallel to the line x + y = 9.
What is Equation of line?
The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]
where, m is slope of line and ( x₁ , y₁) is point.
Now,
The equation of line is parallel to the line x + y = 9.
Hence, both line have same slope.
The slope of line x + y = 9 is given as,
⇒ y = -x + 9
compare with equation of line y = mx + c , we have;
Slope = -1
The equation of the line passes through the point ( 5, 1 ) and slope -1 is;
y - 1 = -1 ( x - 5)
y - 1 = -x + 5
y = -x + 6
Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
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7 Indira has 300 blue beads, 750 red beads and 900 silver beads. She threads these beads to
make wire bracelets. Each bracelet must have the same number and colour of beads. What
is the maximum number of bracelets she can make with these beads? helpppppppp
Answer:
6, I believe?
Step-by-step explanation:
300/6=50
750/6=125, and
900/6=150, so I think it's 6 bracelets, if i'm wrong you can call me dumb.
Indira can make the 150 maximum number of bracelets.
Given that, Indira has 300 blue beads, 750 red beads and 900 silver beads.
We need to find what is the maximum number of bracelets she can make with these beads.
What is the greatest common factor?The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder. To calculate GCF, there are three common ways- division, multiplication, and prime factorization.
Now, 300=2×2×3×5×5
750=2×3×5×5×5
900=2×2×3×3×5×5
So, GCF of 300, 750 and 900=2×3×5×5=150
Therefore, Indira can make the 150 maximum number of bracelets.
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Sara puts together an online order at her favorite store. She orders shirts (s) for $15 each. She has to pay a $5 shipping fee as well
She wants to spend less than $50 total. How many shirts can Sara order?
Answer:
He can pay for 3 shirts. 3 shirts costs 45 dollars, and with 5 dollars of shiping,
that is 50 dollars.
Derek is going to lay grass in a
rectangular space that measures
8. by 32 feet. Find the total area
that will be covered by grass?
THE ANSWER CHOICES ARE IN THAT PICTURE I PUT
Answer:
Step-by-step explanation:
i'd say either 29 1/6 or 32.53
please help me I like really need help
Answer:
-110
Step-by-step explanation:
105 - (-5) = 110 but it’s dropping so it’s -110
What is the slope of the line?
What is 10 1/12 as a decimal
Answer:
10.083
since 1/12 is .0833333333 and so on, it’s shortened
Step-by-step explanation:
Answer:
10.0833333333
Step-by-step explanation:
ASAP What is it plsss??
Answer:
He bought enough he has 1 extra pint
Step-by-step explanation:
is the number 5 in the expression of constant
Solve the proportion.
5/6 = 10/x÷1
x = ?
Given expression:
[tex]\frac{5}{6}[/tex] = [tex]\frac{10}{x /1}[/tex]
Find x;
To find x, let us first cross multiply;
5 x (X /1) = 6 x 10
We know that any number divided by 1 will give back that same number; so the value of the expression in the parentheses is x
5 x X = 60;
So, divide both sides by 5 to give the value of X;
X = [tex]\frac{60}{5}[/tex] = 12
The value of X is 12
Identify the segment bisector of AB. Then find AB.
c
4 5/6
D
A
B
Segment bisector=
AB =
angles, bisectors, angle relationships, and how to classify polygons. 1.1 Points, Lines AB or any combination of two of the letters A,C or B in any order. c) Yes, they lie on. If the two endpoints are (-5, 6) and (3, 4), then the midpoint is (-1, 4). -1 is halfway 108◦. = 72. ◦. Example 6: Are ∠CDA and ∠DAB a linear pair?
Sharon wants to buy a shirt that costs $45. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?
Answer:
sale tax is $1
total cost is $ 21
problem 6 and 4 please
explain how you know that the two triangles have the same area.
Answer:
Step-by-step explanation:
i