The systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are y = 6x - 11 and
- 2x – Зу = -7
substitute y value in second equation.
-2x-3(6x-11)=-7
Apply distributive property
-2x-18x+33=-7
Combine the like terms
-20x+33=-7
Subtract 33 from both sides
-20x=-7-33
-20x=-40
Divide both sides by 20
x=2
Now subtract x=2 in equation 1
y=12-11=1
Hence, the systems of equations y = 6x - 11 and - 2x – Зу = -7 has solution (2, 1).
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Find an equation of the line containing the given pair of points.
(4,1) and (12,7)
Answer:
y= 3/4x-2
Step-by-step explanation:
y2-y1/x2-x1
7-1/12-4
m=6/8
m=3/4
now solve for b (y-intercept)
plug in any y or x from any point
7=3/4(12)+b
7=36/4+b
7=9+b
7=9+b
subtract nine on both sides
-2=b
thats how u get ur equation
Walter pays $2.53 to ship a package that weighs 5.5 ounces. Which is the cost to ship 1 ounce?
__________________________________
Solution,
Cost of 5.5 ounces =$ 2.53
Cost of 1 ounce= 2.53/5.5
=$0.46
So the answer is $ 0.46
Hope it helps
Good luck on your assignment
_________________________________
At what distance did Maria and James run the same amount of time
please help me thank you in advance
Answer:
480
Step-by-step explanation:
The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480
equation of a line pass through origin in called
The equation of a straight line with gradient m passing through the origin is:
[tex]\displaystyle y=mx[/tex]
The line passes through the origin, so the y-intercept is [tex]0[/tex]
[tex]\displaystyle y=mx+b[/tex]
[tex]\displaystyle y=mx+0[/tex]
[tex]\displaystyle y=mx[/tex]
Find the area of the figure in the picture please!!!
Answer:
365cm^2
Step-by-step explanation:
Answer:
365cm ^2
I think
A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t
Answer:
a
Step-by-step explanation:
Radical roots occur as conjugate pairs
Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then
- 5 - [tex]\sqrt{3}[/tex] t is also a root → a
Semicircle M has a radius of 15 inches. If an ant walks from A to B directly along diameter AB and a beetle
walks from A to B around ACB. how much farther, to the nearest tenth of an inch, does the beetle walk?
(1) 17.1
(2) 32.1
(3) 64.2
(4) 79.2
Answer:
A,17.1 in
Step-by-step explanation:
circumference of sphere=2πr
Beetle walks=πr=π×15=15π=15×3.14≈47.1 in
Ant walks=d=2r=2×15=30
difference=47.1-30=17.1 in
The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.
______________________________
Hey!!
Solution,
Area= 12 ft^2
height= 3 ft
Now,
Area=b*h
or, 12=b*3
or,b=12/3
b=4 ft.
The value of base is 4 ft.
hope it helps
____________________________
We could evaluate the expression 2(20+7) + 3(50+2) using the traditional order of operations, or we could use the distributive property. Do you think it would be more efficient to evaluate using the distributive property, or is it more efficient to use order of operations? Explain your answer.
Answer:
It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).
Step-by-step explanation:
Which property of addition is shown below?
If x = 1 + 2i and y = -1 -2i, then x + y = 0.
commutative property
identity property
associative property
inverse property
Answer:
Inverse Property
Step-by-step explanation:
This property is inverse property with respect to addition.
E.g.
If x=y and z= -y
Then,
x+z = 0
its basically d on edg :)
Which is the graph of 3x – 4y = 6?
Answer:
D
Step-by-step explanation:
3x-4y=6
-4y=-3x+6
y=(3/4)x-(3/2)
positive slope with y-intercept at -3/2 corresponds to D
Graph includes the points (0,-3/2) and (2,0). Therefore, option D is the correct answer.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
The given linear equation is 3x-4y=6
Graph the line using the slope and y-intercept, or two points.
Slope: 3/4
y-intercept:
(0,-3/2)
Plot the points (0,-3/2) and (2,0)
Therefore, option D is the correct answer.
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Meg and Kevin wanted to solve this problem: In 6 hours, Hank the Hiker hiked 24 miles. At that rate, how far can he hike in 9 hours? Meg claimed she could solve the problem by finding Hank’s unit rate of speed in miles per hour. She began by writing the equation: . Explain whether or not she can find the unit rate this way. Then find the unit rate and use it to solve the problem. Show all your work.
Answer: Hank hike 36 miles in 9 h.
6 hours for 24 miles
9 hours for x miles
[tex]Hank_{rate} =24/6=4\;mi/h[/tex]
[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]
Give the domain and range.
Answer:
D
Step-by-step explanation:
The domain is the x coordinates which are {-2,0,2}
Answer:
D = { -2, 0 2}
R = { -3,-1 ,1 }
Step-by-step explanation:
The domain is the input or x values
D = { -2, 0 2}
The range is the output or y values
R = { -3,-1 ,1 }
What is the relationship between the diameter and the circumference of a circle?
A. Diameter is about 2x the circumference.
B. Circumference is about 2x the diameter.*** My choice.
C. Diameter is about 3x the circumference
D. Circumference is about 3x the diameter.
Answer:
Thje answer is D.
Step-by-step explanation:
The circumference is always 22/7 times longer (about 3.14)
Someone help me ASAP please
Answer:
Step-by-step explanation:
use a^2+b^2=c^2.
5^2+7^2=c^2
25+49=c^2
sqrt74= 8.6 so side c is about 8 units
Answer:
C. about 8 units
Step-by-step explanation:
correct answer is c
A sprinter travels a distance of 300 m in a time of 28.22 seconds. What is the sprinter's average speed rounded to 4 sf?
Answer:
[tex]10.6 \: m/s[/tex]
Step-by-step explanation:
Average speed = distance covered divided by the time taken.
[tex]S=\frac{d}{t}[/tex]
[tex]\frac{300}{28.22}[/tex]
[tex]=10.63075[/tex]
Answer:
10.63m/s
Step-by-step explanation:
distance traveled=s=300m
time taken=t=28.22s
average speed=v=?
average speed=[tex]\frac{distance covered}{time taken}[/tex]
average speed=[tex]\frac{300m}{28.22s}[/tex]
average speed=10.63075m/s
now in the question it is said that round to 4 significant figures so will write only first four digits
average speed=10.63m/s
What is the surface area of the cube below?
5 m
5 m
5 m
150 m 2
125 m 2
50 m 2
25 m 2
Answesr:
À
Step-by-step explanation:
A cube has faces of equal measurements so u multiply the area of one face with 6
(5×5)6=150
Answer:
150 m 2
A
Step-by-step explanation:
Helllp!
How many lines of symmetry does a regular heptagon have? Explain your answer!
Answer:
7
Step-by-step explanation:
Regular polygons have the same number of lines of symmetry as they do sides
Answer:
7 lines of symmetry
Step-by-step explanation:
If you draw a line from every intersection of the shape, you can get seven lines going through, which makes seven lines.
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-3x+9
y=-3x + 5
y=-3x – 11y
y=-3x + 25
Answer:
y=-3x+5
Step-by-step explanation:
y²-y¹=gradient
x²-x¹
6-7=gradient
-3+6
-1/3=gradient
y-6/x+3=-1/3
y-6=-1/3(x+3)
y-6=-1/3x-1
y=-1/3x+5
Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?
Answer:
Step-by-step explanation:
Starting off we have this information:
Gus has $75 (g = 75).
He can withdraw up to 200 dollars more than he has.
This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.
Anyway, every time he purchases while in overdraft, he loses another $35.
He spends a total of $127 before overdraft fees.
He then gains $25 dollars.
So, for the first interpretation:
75-100-(27+35)+25 = $-62
For the second interpretation:
75-(100+35)-(27+35)+25 = $-97
Hope this helped.
PLEASE JUST GIVE ME THE VOLUME! THE AREA OF THE SECTION IS 546! PLEASE ANSWER ASAP!!!!!!!
Answer:
3360
Step-by-step explanation:
By the Pythagorean Theorem, you know that:
[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]
This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!
Helllp fast please someone
Answer: -10
Step-by-step explanation:
-4 - 6 = -10
If Tim Cook, CEO of Apple wants to make a list of the employees who are above 40, what process he will use? Option: 1.Data query 2.data sorting 3.data compiling
What would be the answer? I said 46.
Answer:
84
Step-by-step explanation:
We can represent the money Emily has as x, and the money Juan as j.
x = j + 19
Substituting 65 for j we get
x = 65 + 19
x = 84
If you awnser this correctly I will give you more points
Answer:
1) 5m-10
Parts, 5m, -10
Operation, Subtraction
Word Expression, 10 less than the product of 5 and m.
Step-by-step explanation:
1) 5m-10
Parts, 5m, -10
Operation, Subtraction
Word Expression, 10 less than the product of 5 and m.
2) 12/2+7
6+7
13
3) 8y-(22)
Terms, 8y, 22
Operation, Subtraction
Word Expression, 22 less than the product of 8 and y.
Answer:
number 2 is 13 and number 3 is-2.75
Step-by-step explanation:
-2.75
Work this out for meee
Answer:
87.5cm²
Step-by-step explanation:
area of trapezium = 1/2 (a+b)h
1/2 × (10 + 15) ×7
1/2 × 25 × 7
1/2 × 175 = 87.5
Answer:
87,5 cm²
Step-by-step explanation:
A = (b + B)×h/2
= (10cm + 15cm)×7cm/2
= 25cm×3,5cm
= 87,5 cm²
Which system type is a linear system with infinitely many solutions?
A. Consistent dependent
B. Inconsistent
C. Consistent independent
D. Inconsistent dependent
Answer: C
Step by step explanation-
Answer:
A
Step-by-step explanation:
It is consistent dependent system , since:
inconsistent has no solutions
consistent independent has one solution,
while...
consistent dependent means that two linear functions are merged into a single line, and they always cross, giving an infinite number of solutions to the linear system
i need help with both questions on the screen. if you can only answer one thats fine too!
Answer:
11. [tex]b = 30[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Substitute
[tex]16^{2} + b^{2} = 34^{2}[/tex]
[tex]256 + b^2 = 1156[/tex]
[tex]b^2 = 1156-256\\b^2 = 900[/tex]
[tex]b = \sqrt{900}[/tex]
[tex]b = 30[/tex]
Your welcome and don't forget to say Thanks
Mike wants to buy a 20 oz bottle of water for $4.00.
Mary isn't as thirsty and only wants an 8 ounce bottle of water for $1.75.
Mike says "its cheaper PER OUNCE to buy the 20 oz bottle of water." Mary disagrees.
Who is correct and why?
Answer: Mary is cheaper than mike
Step-by-step explanation:
Hopes this Helps